TSTP Solution File: HWV051-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV051-2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:15:15 EDT 2022
% Result : Unsatisfiable 134.52s 85.19s
% Output : Proof 144.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.09 % Problem : HWV051-2 : TPTP v8.1.0. Released v5.3.0.
% 0.01/0.09 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.08/0.29 % Computer : n013.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Wed Aug 31 23:09:16 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.08/0.29 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.08/0.29 Usage: tptp [options] [-file:]file
% 0.08/0.29 -h, -? prints this message.
% 0.08/0.29 -smt2 print SMT-LIB2 benchmark.
% 0.08/0.29 -m, -model generate model.
% 0.08/0.29 -p, -proof generate proof.
% 0.08/0.29 -c, -core generate unsat core of named formulas.
% 0.08/0.29 -st, -statistics display statistics.
% 0.08/0.29 -t:timeout set timeout (in second).
% 0.08/0.29 -smt2status display status in smt2 format instead of SZS.
% 0.08/0.29 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.08/0.29 -<param>:<value> configuration parameter and value.
% 0.08/0.29 -o:<output-file> file to place output in.
% 134.52/85.19 % SZS status Unsatisfiable
% 134.52/85.19 % SZS output start Proof
% 134.52/85.19 tff(v84_type, type, (
% 134.52/85.19 v84: ( $i * $i ) > $o)).
% 134.52/85.19 tff(bitIndex2_type, type, (
% 134.52/85.19 bitIndex2: $i)).
% 134.52/85.19 tff(constB109_type, type, (
% 134.52/85.19 constB109: $i)).
% 134.52/85.19 tff(v145_type, type, (
% 134.52/85.19 v145: $i > $o)).
% 134.52/85.19 tff(constB117_type, type, (
% 134.52/85.19 constB117: $i)).
% 134.52/85.19 tff(v115_type, type, (
% 134.52/85.19 v115: $i > $o)).
% 134.52/85.19 tff(constB119_type, type, (
% 134.52/85.19 constB119: $i)).
% 134.52/85.19 tff(v124_type, type, (
% 134.52/85.19 v124: ( $i * $i ) > $o)).
% 134.52/85.19 tff(bitIndex0_type, type, (
% 134.52/85.19 bitIndex0: $i)).
% 134.52/85.19 tff(v121_type, type, (
% 134.52/85.19 v121: ( $i * $i ) > $o)).
% 134.52/85.19 tff(v123_type, type, (
% 134.52/85.19 v123: ( $i * $i ) > $o)).
% 134.52/85.19 tff(constB120_type, type, (
% 134.52/85.19 constB120: $i)).
% 134.52/85.19 tff(constB121_type, type, (
% 134.52/85.19 constB121: $i)).
% 134.52/85.19 tff(constB122_type, type, (
% 134.52/85.19 constB122: $i)).
% 134.52/85.19 tff(constB123_type, type, (
% 134.52/85.19 constB123: $i)).
% 134.52/85.19 tff(v116_type, type, (
% 134.52/85.19 v116: $i > $o)).
% 134.52/85.19 tff(bitIndex1_type, type, (
% 134.52/85.19 bitIndex1: $i)).
% 134.52/85.19 tff(constB134_type, type, (
% 134.52/85.19 constB134: $i)).
% 134.52/85.19 tff(constB135_type, type, (
% 134.52/85.19 constB135: $i)).
% 134.52/85.19 tff(constB136_type, type, (
% 134.52/85.19 constB136: $i)).
% 134.52/85.19 tff(constB137_type, type, (
% 134.52/85.19 constB137: $i)).
% 134.52/85.19 tff(constB139_type, type, (
% 134.52/85.19 constB139: $i)).
% 134.52/85.19 tff(constB130_type, type, (
% 134.52/85.19 constB130: $i)).
% 134.52/85.19 tff(constB129_type, type, (
% 134.52/85.19 constB129: $i)).
% 134.52/85.19 tff(constB115_type, type, (
% 134.52/85.19 constB115: $i)).
% 134.52/85.19 tff(constB116_type, type, (
% 134.52/85.19 constB116: $i)).
% 134.52/85.19 tff(sK0_VarCurr_type, type, (
% 134.52/85.19 sK0_VarCurr: $i)).
% 134.52/85.19 tff(constB189_type, type, (
% 134.52/85.19 constB189: $i)).
% 134.52/85.19 tff(constB186_type, type, (
% 134.52/85.19 constB186: $i)).
% 134.52/85.19 tff(v94_type, type, (
% 134.52/85.19 v94: $i > $o)).
% 134.52/85.19 tff(constB184_type, type, (
% 134.52/85.19 constB184: $i)).
% 134.52/85.19 tff(constB182_type, type, (
% 134.52/85.19 constB182: $i)).
% 134.52/85.19 tff(constB183_type, type, (
% 134.52/85.19 constB183: $i)).
% 134.52/85.19 tff(v144_type, type, (
% 134.52/85.19 v144: $i > $o)).
% 134.52/85.19 tff(v142_type, type, (
% 134.52/85.19 v142: $i > $o)).
% 134.52/85.19 tff(v135_type, type, (
% 134.52/85.19 v135: $i > $o)).
% 134.52/85.19 tff(v137_type, type, (
% 134.52/85.19 v137: $i > $o)).
% 134.52/85.19 tff(v138_type, type, (
% 134.52/85.19 v138: $i > $o)).
% 134.52/85.19 tff(constB185_type, type, (
% 134.52/85.19 constB185: $i)).
% 134.52/85.19 tff(v154_type, type, (
% 134.52/85.19 v154: $i > $o)).
% 134.52/85.19 tff(v150_type, type, (
% 134.52/85.19 v150: $i > $o)).
% 134.52/85.19 tff(v152_type, type, (
% 134.52/85.19 v152: $i > $o)).
% 134.52/85.19 tff(v153_type, type, (
% 134.52/85.19 v153: $i > $o)).
% 134.52/85.19 tff(constB187_type, type, (
% 134.52/85.19 constB187: $i)).
% 134.52/85.19 tff(v164_type, type, (
% 134.52/85.19 v164: $i > $o)).
% 134.52/85.19 tff(v160_type, type, (
% 134.52/85.19 v160: $i > $o)).
% 134.52/85.19 tff(v162_type, type, (
% 134.52/85.19 v162: $i > $o)).
% 134.52/85.19 tff(constB188_type, type, (
% 134.52/85.19 constB188: $i)).
% 134.52/85.19 tff(v163_type, type, (
% 134.52/85.19 v163: $i > $o)).
% 134.52/85.19 tff(v168_type, type, (
% 134.52/85.19 v168: $i > $o)).
% 134.52/85.19 tff(nextState_type, type, (
% 134.52/85.19 nextState: ( $i * $i ) > $o)).
% 134.52/85.19 tff(v155_type, type, (
% 134.52/85.19 v155: $i > $o)).
% 134.52/85.19 tff(v141_type, type, (
% 134.52/85.19 v141: $i > $o)).
% 134.52/85.19 tff(v1_type, type, (
% 134.52/85.19 v1: $i > $o)).
% 134.52/85.19 tff(v140_type, type, (
% 134.52/85.19 v140: $i > $o)).
% 134.52/85.19 tff(v9_type, type, (
% 134.52/85.19 v9: $i > $o)).
% 134.52/85.19 tff(v13_type, type, (
% 134.52/85.19 v13: $i > $o)).
% 134.52/85.19 tff(v19_type, type, (
% 134.52/85.19 v19: $i > $o)).
% 134.52/85.19 tff(v18_type, type, (
% 134.52/85.19 v18: $i > $o)).
% 134.52/85.19 tff(v22_type, type, (
% 134.52/85.19 v22: $i > $o)).
% 134.52/85.19 tff(constB181_type, type, (
% 134.52/85.19 constB181: $i)).
% 134.52/85.19 tff(v112_type, type, (
% 134.52/85.19 v112: $i > $o)).
% 134.52/85.19 tff(v111_type, type, (
% 134.52/85.19 v111: $i > $o)).
% 134.52/85.19 tff(v110_type, type, (
% 134.52/85.19 v110: $i > $o)).
% 134.52/85.19 tff(v109_type, type, (
% 134.52/85.19 v109: $i > $o)).
% 134.52/85.19 tff(v108_type, type, (
% 134.52/85.19 v108: $i > $o)).
% 134.52/85.19 tff(v107_type, type, (
% 134.52/85.19 v107: $i > $o)).
% 134.52/85.19 tff(v106_type, type, (
% 134.52/85.19 v106: $i > $o)).
% 134.52/85.19 tff(v102_type, type, (
% 134.52/85.19 v102: $i > $o)).
% 134.52/85.19 tff(v104_type, type, (
% 134.52/85.19 v104: $i > $o)).
% 134.52/85.19 tff(v95_type, type, (
% 134.52/85.19 v95: $i > $o)).
% 134.52/85.19 tff(v96_type, type, (
% 134.52/85.19 v96: $i > $o)).
% 134.52/85.19 tff(v98_type, type, (
% 134.52/85.19 v98: $i > $o)).
% 134.52/85.19 tff(v26_type, type, (
% 134.52/85.19 v26: $i > $o)).
% 134.52/85.19 tff(less_3_type, type, (
% 134.52/85.19 less_3: $i > $o)).
% 134.52/85.19 tff(v172_type, type, (
% 134.52/85.19 v172: $i > $o)).
% 134.52/85.19 tff(v113_type, type, (
% 134.52/85.19 v113: $i > $o)).
% 134.52/85.19 tff(v118_type, type, (
% 134.52/85.19 v118: $i > $o)).
% 134.52/85.19 tff(b011_type, type, (
% 134.52/85.19 b011: $i > $o)).
% 134.52/85.19 tff(b001_type, type, (
% 134.52/85.19 b001: $i > $o)).
% 134.52/85.19 tff(b010_type, type, (
% 134.52/85.19 b010: $i > $o)).
% 134.52/85.19 tff(constB180_type, type, (
% 134.52/85.19 constB180: $i)).
% 134.52/85.19 tff(constB179_type, type, (
% 134.52/85.19 constB179: $i)).
% 134.52/85.19 tff(b100_type, type, (
% 134.52/85.19 b100: $i > $o)).
% 134.52/85.19 tff(b110_type, type, (
% 134.52/85.19 b110: $i > $o)).
% 134.52/85.19 tff(v119_type, type, (
% 134.52/85.19 v119: $i > $o)).
% 134.52/85.19 tff(v60_type, type, (
% 134.52/85.19 v60: $i > $o)).
% 134.52/85.19 tff(v66_type, type, (
% 134.52/85.19 v66: $i > $o)).
% 134.52/85.19 tff(v64_type, type, (
% 134.52/85.19 v64: $i > $o)).
% 134.52/85.19 tff(v74_type, type, (
% 134.52/85.19 v74: $i > $o)).
% 134.52/85.19 tff(v72_type, type, (
% 134.52/85.19 v72: $i > $o)).
% 134.52/85.19 tff(v71_type, type, (
% 134.52/85.19 v71: $i > $o)).
% 134.52/85.19 tff(v76_type, type, (
% 134.52/85.19 v76: $i > $o)).
% 134.52/85.19 tff(v80_type, type, (
% 134.52/85.19 v80: $i > $o)).
% 134.52/85.19 tff(v78_type, type, (
% 134.52/85.19 v78: $i > $o)).
% 134.52/85.19 tff(constB190_type, type, (
% 134.52/85.19 constB190: $i)).
% 134.52/85.19 tff(constB113_type, type, (
% 134.52/85.19 constB113: $i)).
% 134.52/85.19 tff(constB114_type, type, (
% 134.52/85.19 constB114: $i)).
% 134.52/85.19 tff(constB112_type, type, (
% 134.52/85.19 constB112: $i)).
% 134.52/85.19 tff(v170_type, type, (
% 134.52/85.19 v170: $i > $o)).
% 134.52/85.19 tff(v169_type, type, (
% 134.52/85.19 v169: $i > $o)).
% 134.52/85.19 tff(constB108_type, type, (
% 134.52/85.19 constB108: $i)).
% 134.52/85.19 tff(constB125_type, type, (
% 134.52/85.19 constB125: $i)).
% 134.52/85.19 tff(constB124_type, type, (
% 134.52/85.19 constB124: $i)).
% 134.52/85.19 tff(constB126_type, type, (
% 134.52/85.19 constB126: $i)).
% 134.52/85.19 tff(constB127_type, type, (
% 134.52/85.19 constB127: $i)).
% 134.52/85.19 tff(constB118_type, type, (
% 134.52/85.19 constB118: $i)).
% 134.52/85.19 tff(constB105_type, type, (
% 134.52/85.19 constB105: $i)).
% 134.52/85.19 tff(constB104_type, type, (
% 134.52/85.19 constB104: $i)).
% 134.52/85.19 tff(constB110_type, type, (
% 134.52/85.19 constB110: $i)).
% 134.52/85.19 tff(constB103_type, type, (
% 134.52/85.19 constB103: $i)).
% 134.52/85.19 tff(constB102_type, type, (
% 134.52/85.19 constB102: $i)).
% 134.52/85.19 tff(constB111_type, type, (
% 134.52/85.19 constB111: $i)).
% 134.52/85.19 tff(constB107_type, type, (
% 134.52/85.19 constB107: $i)).
% 134.52/85.19 tff(constB106_type, type, (
% 134.52/85.19 constB106: $i)).
% 134.52/85.19 tff(constB99_type, type, (
% 134.52/85.19 constB99: $i)).
% 134.52/85.19 tff(constB100_type, type, (
% 134.52/85.19 constB100: $i)).
% 134.52/85.19 tff(constB101_type, type, (
% 134.52/85.19 constB101: $i)).
% 134.52/85.19 tff(constB95_type, type, (
% 134.52/85.19 constB95: $i)).
% 134.52/85.19 tff(constB94_type, type, (
% 134.52/85.19 constB94: $i)).
% 134.52/85.19 tff(constB96_type, type, (
% 134.52/85.19 constB96: $i)).
% 134.52/85.19 tff(constB97_type, type, (
% 134.52/85.19 constB97: $i)).
% 134.52/85.19 tff(constB98_type, type, (
% 134.52/85.19 constB98: $i)).
% 134.52/85.19 tff(constB91_type, type, (
% 134.52/85.19 constB91: $i)).
% 134.52/85.19 tff(constB92_type, type, (
% 134.52/85.19 constB92: $i)).
% 134.52/85.19 tff(constB93_type, type, (
% 134.52/85.19 constB93: $i)).
% 134.52/85.19 tff(constB90_type, type, (
% 134.52/85.19 constB90: $i)).
% 134.52/85.19 tff(constB89_type, type, (
% 134.52/85.19 constB89: $i)).
% 134.52/85.19 tff(constB132_type, type, (
% 134.52/85.19 constB132: $i)).
% 134.52/85.19 tff(constB131_type, type, (
% 134.52/85.19 constB131: $i)).
% 134.52/85.19 tff(constB128_type, type, (
% 134.52/85.19 constB128: $i)).
% 134.52/85.19 tff(constB133_type, type, (
% 134.52/85.19 constB133: $i)).
% 134.52/85.19 tff(constB138_type, type, (
% 134.52/85.19 constB138: $i)).
% 134.52/85.19 tff(constB147_type, type, (
% 134.52/85.19 constB147: $i)).
% 134.52/85.19 tff(constB148_type, type, (
% 134.52/85.19 constB148: $i)).
% 134.52/85.19 tff(constB159_type, type, (
% 134.52/85.19 constB159: $i)).
% 134.52/85.19 tff(constB160_type, type, (
% 134.52/85.19 constB160: $i)).
% 134.52/85.19 tff(constB154_type, type, (
% 134.52/85.19 constB154: $i)).
% 134.52/85.19 tff(constB73_type, type, (
% 134.52/85.19 constB73: $i)).
% 134.52/85.19 tff(constB77_type, type, (
% 134.52/85.19 constB77: $i)).
% 134.52/85.19 tff(constB74_type, type, (
% 134.52/85.19 constB74: $i)).
% 134.52/85.19 tff(constB47_type, type, (
% 134.52/85.19 constB47: $i)).
% 134.52/85.19 tff(constB48_type, type, (
% 134.52/85.19 constB48: $i)).
% 134.52/85.19 tff(constB51_type, type, (
% 134.52/85.19 constB51: $i)).
% 134.52/85.19 tff(constB52_type, type, (
% 134.52/85.19 constB52: $i)).
% 134.52/85.19 tff(constB53_type, type, (
% 134.52/85.19 constB53: $i)).
% 134.52/85.19 tff(constB54_type, type, (
% 134.52/85.19 constB54: $i)).
% 134.52/85.19 tff(constB55_type, type, (
% 134.52/85.19 constB55: $i)).
% 134.52/85.19 tff(constB56_type, type, (
% 134.52/85.19 constB56: $i)).
% 134.52/85.19 tff(constB58_type, type, (
% 134.52/85.19 constB58: $i)).
% 134.52/85.19 tff(constB59_type, type, (
% 134.52/85.19 constB59: $i)).
% 134.52/85.19 tff(constB60_type, type, (
% 134.52/85.19 constB60: $i)).
% 134.52/85.19 tff(constB85_type, type, (
% 134.52/85.19 constB85: $i)).
% 134.52/85.19 tff(constB84_type, type, (
% 134.52/85.19 constB84: $i)).
% 134.52/85.19 tff(constB82_type, type, (
% 134.52/85.19 constB82: $i)).
% 134.52/85.19 tff(constB83_type, type, (
% 134.52/85.19 constB83: $i)).
% 134.52/85.19 tff(constB80_type, type, (
% 134.52/85.19 constB80: $i)).
% 134.52/85.19 tff(constB79_type, type, (
% 134.52/85.19 constB79: $i)).
% 134.52/85.19 tff(constB78_type, type, (
% 134.52/85.19 constB78: $i)).
% 134.52/85.19 tff(constB70_type, type, (
% 134.52/85.19 constB70: $i)).
% 134.52/85.19 tff(constB69_type, type, (
% 134.52/85.19 constB69: $i)).
% 134.52/85.19 tff(constB67_type, type, (
% 134.52/85.19 constB67: $i)).
% 134.52/85.19 tff(constB64_type, type, (
% 134.52/85.19 constB64: $i)).
% 134.52/85.19 tff(constB63_type, type, (
% 134.52/85.19 constB63: $i)).
% 134.52/85.19 tff(constB62_type, type, (
% 134.52/85.19 constB62: $i)).
% 134.52/85.19 tff(constB61_type, type, (
% 134.52/85.19 constB61: $i)).
% 134.52/85.19 tff(constB68_type, type, (
% 134.52/85.19 constB68: $i)).
% 134.52/85.19 tff(constB66_type, type, (
% 134.52/85.19 constB66: $i)).
% 134.52/85.19 tff(constB65_type, type, (
% 134.52/85.19 constB65: $i)).
% 134.52/85.19 tff(constB72_type, type, (
% 134.52/85.19 constB72: $i)).
% 134.52/85.19 tff(constB71_type, type, (
% 134.52/85.19 constB71: $i)).
% 134.52/85.19 tff(constB75_type, type, (
% 134.52/85.19 constB75: $i)).
% 134.52/85.19 tff(constB76_type, type, (
% 134.52/85.19 constB76: $i)).
% 134.52/85.19 tff(constB81_type, type, (
% 134.52/85.19 constB81: $i)).
% 134.52/85.19 tff(constB87_type, type, (
% 134.52/85.19 constB87: $i)).
% 134.52/85.19 tff(constB88_type, type, (
% 134.52/85.19 constB88: $i)).
% 134.52/85.19 tff(constB86_type, type, (
% 134.52/85.19 constB86: $i)).
% 134.52/85.19 tff(constB57_type, type, (
% 134.52/85.19 constB57: $i)).
% 134.52/85.19 tff(constB175_type, type, (
% 134.52/85.19 constB175: $i)).
% 134.52/85.19 tff(constB165_type, type, (
% 134.52/85.19 constB165: $i)).
% 134.52/85.19 tff(constB164_type, type, (
% 134.52/85.19 constB164: $i)).
% 134.52/85.19 tff(constB153_type, type, (
% 134.52/85.19 constB153: $i)).
% 134.52/85.19 tff(constB150_type, type, (
% 134.52/85.19 constB150: $i)).
% 134.52/85.19 tff(constB149_type, type, (
% 134.52/85.19 constB149: $i)).
% 134.52/85.19 tff(constB141_type, type, (
% 134.52/85.19 constB141: $i)).
% 134.52/85.19 tff(constB140_type, type, (
% 134.52/85.19 constB140: $i)).
% 134.52/85.19 tff(constB146_type, type, (
% 134.52/85.19 constB146: $i)).
% 134.52/85.19 tff(constB145_type, type, (
% 134.52/85.19 constB145: $i)).
% 134.52/85.19 tff(constB144_type, type, (
% 134.52/85.19 constB144: $i)).
% 134.52/85.19 tff(constB143_type, type, (
% 134.52/85.19 constB143: $i)).
% 134.52/85.19 tff(constB142_type, type, (
% 134.52/85.19 constB142: $i)).
% 134.52/85.19 tff(constB152_type, type, (
% 134.52/85.19 constB152: $i)).
% 134.52/85.19 tff(constB151_type, type, (
% 134.52/85.19 constB151: $i)).
% 134.52/85.19 tff(constB158_type, type, (
% 134.52/85.19 constB158: $i)).
% 134.52/85.19 tff(constB157_type, type, (
% 134.52/85.19 constB157: $i)).
% 134.52/85.19 tff(constB156_type, type, (
% 134.52/85.19 constB156: $i)).
% 134.52/85.19 tff(constB155_type, type, (
% 134.52/85.19 constB155: $i)).
% 134.52/85.19 tff(constB161_type, type, (
% 134.52/85.19 constB161: $i)).
% 134.52/85.19 tff(constB163_type, type, (
% 134.52/85.19 constB163: $i)).
% 134.52/85.19 tff(constB162_type, type, (
% 134.52/85.19 constB162: $i)).
% 134.52/85.19 tff(constB170_type, type, (
% 134.52/85.19 constB170: $i)).
% 134.52/85.19 tff(constB171_type, type, (
% 134.52/85.19 constB171: $i)).
% 134.52/85.19 tff(constB172_type, type, (
% 134.52/85.19 constB172: $i)).
% 134.52/85.19 tff(constB173_type, type, (
% 134.52/85.19 constB173: $i)).
% 134.52/85.19 tff(constB174_type, type, (
% 134.52/85.19 constB174: $i)).
% 134.52/85.19 tff(constB169_type, type, (
% 134.52/85.19 constB169: $i)).
% 134.52/85.19 tff(constB168_type, type, (
% 134.52/85.19 constB168: $i)).
% 134.52/85.19 tff(constB167_type, type, (
% 134.52/85.19 constB167: $i)).
% 134.52/85.19 tff(constB166_type, type, (
% 134.52/85.19 constB166: $i)).
% 134.52/85.19 tff(constB45_type, type, (
% 134.52/85.19 constB45: $i)).
% 134.52/85.19 tff(constB36_type, type, (
% 134.52/85.19 constB36: $i)).
% 134.52/85.19 tff(constB35_type, type, (
% 134.52/85.19 constB35: $i)).
% 134.52/85.19 tff(constB38_type, type, (
% 134.52/85.19 constB38: $i)).
% 134.52/85.19 tff(constB39_type, type, (
% 134.52/85.19 constB39: $i)).
% 134.52/85.19 tff(constB40_type, type, (
% 134.52/85.19 constB40: $i)).
% 134.52/85.19 tff(constB41_type, type, (
% 134.52/85.19 constB41: $i)).
% 134.52/85.19 tff(constB42_type, type, (
% 134.52/85.19 constB42: $i)).
% 134.52/85.19 tff(constB43_type, type, (
% 134.52/85.19 constB43: $i)).
% 134.52/85.19 tff(constB44_type, type, (
% 134.52/85.19 constB44: $i)).
% 134.52/85.19 tff(constB37_type, type, (
% 134.52/85.19 constB37: $i)).
% 134.52/85.19 tff(constB34_type, type, (
% 134.52/85.19 constB34: $i)).
% 134.52/85.19 tff(constB33_type, type, (
% 134.52/85.19 constB33: $i)).
% 134.52/85.19 tff(constB32_type, type, (
% 134.52/85.19 constB32: $i)).
% 134.52/85.19 tff(constB31_type, type, (
% 134.52/85.19 constB31: $i)).
% 134.52/85.19 tff(constB29_type, type, (
% 134.52/85.19 constB29: $i)).
% 134.52/85.19 tff(constB30_type, type, (
% 134.52/85.19 constB30: $i)).
% 134.52/85.19 tff(constB27_type, type, (
% 134.52/85.19 constB27: $i)).
% 134.52/85.19 tff(constB26_type, type, (
% 134.52/85.19 constB26: $i)).
% 134.52/85.19 tff(constB25_type, type, (
% 134.52/85.19 constB25: $i)).
% 134.52/85.19 tff(constB24_type, type, (
% 134.52/85.19 constB24: $i)).
% 134.52/85.19 tff(constB23_type, type, (
% 134.52/85.19 constB23: $i)).
% 134.52/85.19 tff(constB21_type, type, (
% 134.52/85.19 constB21: $i)).
% 134.52/85.19 tff(constB22_type, type, (
% 134.52/85.19 constB22: $i)).
% 134.52/85.19 tff(constB20_type, type, (
% 134.52/85.19 constB20: $i)).
% 134.52/85.19 tff(constB19_type, type, (
% 134.52/85.19 constB19: $i)).
% 134.52/85.19 tff(constB18_type, type, (
% 134.52/85.19 constB18: $i)).
% 134.52/85.19 tff(constB17_type, type, (
% 134.52/85.19 constB17: $i)).
% 134.52/85.19 tff(constB11_type, type, (
% 134.52/85.19 constB11: $i)).
% 134.52/85.19 tff(constB10_type, type, (
% 134.52/85.19 constB10: $i)).
% 134.52/85.19 tff(constB9_type, type, (
% 134.52/85.19 constB9: $i)).
% 134.52/85.19 tff(constB8_type, type, (
% 134.52/85.19 constB8: $i)).
% 134.52/85.19 tff(constB7_type, type, (
% 134.52/85.19 constB7: $i)).
% 134.52/85.19 tff(constB6_type, type, (
% 134.52/85.19 constB6: $i)).
% 134.52/85.19 tff(constB5_type, type, (
% 134.52/85.19 constB5: $i)).
% 134.52/85.19 tff(constB4_type, type, (
% 134.52/85.19 constB4: $i)).
% 134.52/85.19 tff(constB3_type, type, (
% 134.52/85.19 constB3: $i)).
% 134.52/85.19 tff(constB2_type, type, (
% 134.52/85.19 constB2: $i)).
% 134.52/85.19 tff(constB1_type, type, (
% 134.52/85.19 constB1: $i)).
% 134.52/85.19 tff(constB0_type, type, (
% 134.52/85.19 constB0: $i)).
% 134.52/85.19 tff(constB12_type, type, (
% 134.52/85.19 constB12: $i)).
% 134.52/85.19 tff(constB13_type, type, (
% 134.52/85.19 constB13: $i)).
% 134.52/85.19 tff(constB14_type, type, (
% 134.52/85.19 constB14: $i)).
% 134.52/85.19 tff(constB15_type, type, (
% 134.52/85.19 constB15: $i)).
% 134.52/85.19 tff(constB16_type, type, (
% 134.52/85.19 constB16: $i)).
% 134.52/85.19 tff(constB28_type, type, (
% 134.52/85.19 constB28: $i)).
% 134.52/85.19 tff(constB49_type, type, (
% 134.52/85.19 constB49: $i)).
% 134.52/85.19 tff(constB50_type, type, (
% 134.52/85.19 constB50: $i)).
% 134.52/85.19 tff(constB46_type, type, (
% 134.52/85.19 constB46: $i)).
% 134.52/85.19 tff(constB178_type, type, (
% 134.52/85.19 constB178: $i)).
% 134.52/85.19 tff(constB177_type, type, (
% 134.52/85.19 constB177: $i)).
% 134.52/85.19 tff(constB176_type, type, (
% 134.52/85.19 constB176: $i)).
% 134.52/85.19 tff(constB193_type, type, (
% 134.52/85.19 constB193: $i)).
% 134.52/85.19 tff(constB191_type, type, (
% 134.52/85.19 constB191: $i)).
% 134.52/85.19 tff(constB194_type, type, (
% 134.52/85.19 constB194: $i)).
% 134.52/85.19 tff(constB192_type, type, (
% 134.52/85.19 constB192: $i)).
% 134.52/85.19 tff(constB196_type, type, (
% 134.52/85.19 constB196: $i)).
% 134.52/85.19 tff(constB195_type, type, (
% 134.52/85.19 constB195: $i)).
% 134.52/85.19 tff(constB197_type, type, (
% 134.52/85.19 constB197: $i)).
% 134.52/85.19 tff(constB199_type, type, (
% 134.52/85.19 constB199: $i)).
% 134.52/85.19 tff(constB198_type, type, (
% 134.52/85.19 constB198: $i)).
% 134.52/85.19 tff(constB200_type, type, (
% 134.52/85.19 constB200: $i)).
% 134.52/85.19 tff(reachableState_type, type, (
% 134.52/85.19 reachableState: $i > $o)).
% 134.52/85.19 tff(1,assumption,(~v145(constB139)), introduced(assumption)).
% 134.52/85.19 tff(2,assumption,(~v145(constB117)), introduced(assumption)).
% 134.52/85.19 tff(3,assumption,(constB189 = sK0_VarCurr), introduced(assumption)).
% 134.52/85.19 tff(4,plain,
% 134.52/85.19 (v162(constB189) <=> v162(sK0_VarCurr)),
% 134.52/85.19 inference(monotonicity,[status(thm)],[3])).
% 134.52/85.19 tff(5,plain,
% 134.52/85.19 (v162(sK0_VarCurr) <=> v162(constB189)),
% 134.52/85.19 inference(symmetry,[status(thm)],[4])).
% 134.52/85.19 tff(6,plain,
% 134.52/85.19 (v168(sK0_VarCurr) <=> v168(sK0_VarCurr)),
% 134.52/85.19 inference(rewrite,[status(thm)],[])).
% 134.52/85.19 tff(7,axiom,(v168(sK0_VarCurr)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion_1_1_1')).
% 134.52/85.19 tff(8,plain,
% 134.52/85.19 (v168(sK0_VarCurr)),
% 134.52/85.19 inference(modus_ponens,[status(thm)],[7, 6])).
% 134.52/85.19 tff(9,plain,
% 134.52/85.19 (^[VarCurr: $i] : refl((v162(VarCurr) | (~v168(VarCurr))) <=> (v162(VarCurr) | (~v168(VarCurr))))),
% 134.52/85.19 inference(bind,[status(th)],[])).
% 134.52/85.19 tff(10,plain,
% 134.52/85.19 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 134.52/85.19 inference(quant_intro,[status(thm)],[9])).
% 134.52/85.19 tff(11,plain,
% 134.52/85.19 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 134.52/85.19 inference(rewrite,[status(thm)],[])).
% 134.52/85.19 tff(12,axiom,(![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_43_1_1_1_2')).
% 134.52/85.19 tff(13,plain,
% 134.52/85.19 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 134.52/85.19 inference(modus_ponens,[status(thm)],[12, 11])).
% 134.52/85.19 tff(14,plain,(
% 134.52/85.19 ![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 134.52/85.19 inference(skolemize,[status(sab)],[13])).
% 134.52/85.19 tff(15,plain,
% 134.52/85.19 (![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))),
% 134.52/85.19 inference(modus_ponens,[status(thm)],[14, 10])).
% 134.52/85.19 tff(16,plain,
% 134.52/85.19 (((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 134.52/85.19 inference(rewrite,[status(thm)],[])).
% 134.52/85.19 tff(17,plain,
% 134.52/85.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | (v162(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 134.52/85.19 inference(quant_inst,[status(thm)],[])).
% 134.52/85.19 tff(18,plain,
% 134.52/85.19 ((~![VarCurr: $i] : (v162(VarCurr) | (~v168(VarCurr)))) | v162(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 134.52/85.19 inference(modus_ponens,[status(thm)],[17, 16])).
% 134.52/85.19 tff(19,plain,
% 134.52/85.19 (v162(sK0_VarCurr)),
% 134.52/85.19 inference(unit_resolution,[status(thm)],[18, 15, 8])).
% 134.52/85.19 tff(20,plain,
% 134.52/85.19 (v162(constB189)),
% 134.52/85.19 inference(modus_ponens,[status(thm)],[19, 5])).
% 134.52/85.19 tff(21,assumption,(~v162(constB189)), introduced(assumption)).
% 134.52/85.19 tff(22,plain,
% 134.52/85.19 ($false),
% 134.52/85.19 inference(unit_resolution,[status(thm)],[21, 20])).
% 134.52/85.19 tff(23,plain,((~(constB189 = sK0_VarCurr)) | v162(constB189)), inference(lemma,lemma(discharge,[]))).
% 134.52/85.19 tff(24,plain,
% 134.52/85.19 (v162(constB189)),
% 134.52/85.19 inference(unit_resolution,[status(thm)],[23, 3])).
% 134.52/85.19 tff(25,plain,
% 134.52/85.19 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 134.52/85.19 inference(rewrite,[status(thm)],[])).
% 134.52/85.19 tff(26,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_188_1')).
% 134.52/85.19 tff(27,plain,
% 134.52/85.19 (nextState(constB188, constB189)),
% 134.52/85.19 inference(modus_ponens,[status(thm)],[26, 25])).
% 134.52/85.19 tff(28,plain,
% 134.52/85.19 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))))),
% 134.52/85.19 inference(bind,[status(th)],[])).
% 134.52/85.19 tff(29,plain,
% 134.52/85.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 134.52/85.19 inference(quant_intro,[status(thm)],[28])).
% 134.52/85.19 tff(30,plain,
% 134.52/85.19 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(31,plain,
% 134.52/85.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(32,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[31])).
% 134.52/85.20 tff(33,axiom,(![VarNext: $i, VarCurr: $i] : ((v160(VarCurr) | (~v162(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_10_1_2')).
% 134.52/85.20 tff(34,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[33, 32])).
% 134.52/85.20 tff(35,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[34, 30])).
% 134.52/85.20 tff(36,plain,(
% 134.52/85.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[35])).
% 134.52/85.20 tff(37,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[36, 29])).
% 134.52/85.20 tff(38,plain,
% 134.52/85.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB188, constB189)) | v160(constB188) | (~v162(constB189)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB188, constB189)) | v160(constB188) | (~v162(constB189)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(39,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB188, constB189)) | v160(constB188) | (~v162(constB189)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(40,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB188, constB189)) | v160(constB188) | (~v162(constB189))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[39, 38])).
% 134.52/85.20 tff(41,plain,
% 134.52/85.20 (v160(constB188) | (~v162(constB189))),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[40, 37, 27])).
% 134.52/85.20 tff(42,plain,
% 134.52/85.20 (v160(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[41, 24])).
% 134.52/85.20 tff(43,plain,
% 134.52/85.20 (v1(constB188) <=> v1(constB188)),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(44,axiom,(v1(constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_188_1')).
% 134.52/85.20 tff(45,plain,
% 134.52/85.20 (v1(constB188)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[44, 43])).
% 134.52/85.20 tff(46,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl(((~v1(VarCurr)) | (~v141(VarCurr))) <=> ((~v1(VarCurr)) | (~v141(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(47,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[46])).
% 134.52/85.20 tff(48,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(49,axiom,(![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_28_1_1_2')).
% 134.52/85.20 tff(50,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[49, 48])).
% 134.52/85.20 tff(51,plain,(
% 134.52/85.20 ![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[50])).
% 134.52/85.20 tff(52,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[51, 47])).
% 134.52/85.20 tff(53,plain,
% 134.52/85.20 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(54,plain,
% 134.52/85.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB188)) | (~v141(constB188)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(55,plain,
% 134.52/85.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB188)) | (~v141(constB188))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[54, 53])).
% 134.52/85.20 tff(56,plain,
% 134.52/85.20 (~v141(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[55, 52, 45])).
% 134.52/85.20 tff(57,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v155(VarCurr))) <=> (v141(VarCurr) | (~v155(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(58,plain,
% 134.52/85.20 (![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[57])).
% 134.52/85.20 tff(59,plain,
% 134.52/85.20 (![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(60,axiom,(![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_35_1_1_2')).
% 134.52/85.20 tff(61,plain,
% 134.52/85.20 (![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[60, 59])).
% 134.52/85.20 tff(62,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[61])).
% 134.52/85.20 tff(63,plain,
% 134.52/85.20 (![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[62, 58])).
% 134.52/85.20 tff(64,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB188) | (~v155(constB188)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB188) | (~v155(constB188)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(65,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB188) | (~v155(constB188)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(66,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB188) | (~v155(constB188))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[65, 64])).
% 134.52/85.20 tff(67,plain,
% 134.52/85.20 (~v155(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[66, 63, 56])).
% 134.52/85.20 tff(68,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v155(VarCurr) | (~v164(VarCurr))) <=> (v155(VarCurr) | (~v164(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(69,plain,
% 134.52/85.20 (![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[68])).
% 134.52/85.20 tff(70,plain,
% 134.52/85.20 (![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(71,axiom,(![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_39_1_1_3')).
% 134.52/85.20 tff(72,plain,
% 134.52/85.20 (![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[71, 70])).
% 134.52/85.20 tff(73,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[72])).
% 134.52/85.20 tff(74,plain,
% 134.52/85.20 (![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[73, 69])).
% 134.52/85.20 tff(75,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB188) | (~v164(constB188)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB188) | (~v164(constB188)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(76,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB188) | (~v164(constB188)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(77,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB188) | (~v164(constB188))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[76, 75])).
% 134.52/85.20 tff(78,plain,
% 134.52/85.20 (~v164(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[77, 74, 67])).
% 134.52/85.20 tff(79,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(80,plain,
% 134.52/85.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[79])).
% 134.52/85.20 tff(81,plain,
% 134.52/85.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(82,plain,
% 134.52/85.20 (^[VarCurr: $i] : trans(monotonicity(rewrite((v164(VarCurr) | v163(VarCurr)) <=> (v164(VarCurr) | v163(VarCurr))), (((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))))), rewrite(((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))), (((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(83,plain,
% 134.52/85.20 (![VarCurr: $i] : ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[82])).
% 134.52/85.20 tff(84,axiom,(![VarCurr: $i] : ((v164(VarCurr) | v163(VarCurr)) | (~v160(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_40_1_3')).
% 134.52/85.20 tff(85,plain,
% 134.52/85.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[84, 83])).
% 134.52/85.20 tff(86,plain,
% 134.52/85.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[85, 81])).
% 134.52/85.20 tff(87,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[86])).
% 134.52/85.20 tff(88,plain,
% 134.52/85.20 (![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[87, 80])).
% 134.52/85.20 tff(89,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB188)) | v164(constB188) | v163(constB188))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB188)) | v164(constB188) | v163(constB188))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(90,plain,
% 134.52/85.20 ((v164(constB188) | v163(constB188) | (~v160(constB188))) <=> ((~v160(constB188)) | v164(constB188) | v163(constB188))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(91,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB188) | v163(constB188) | (~v160(constB188)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB188)) | v164(constB188) | v163(constB188)))),
% 134.52/85.20 inference(monotonicity,[status(thm)],[90])).
% 134.52/85.20 tff(92,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB188) | v163(constB188) | (~v160(constB188)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB188)) | v164(constB188) | v163(constB188))),
% 134.52/85.20 inference(transitivity,[status(thm)],[91, 89])).
% 134.52/85.20 tff(93,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB188) | v163(constB188) | (~v160(constB188)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(94,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB188)) | v164(constB188) | v163(constB188)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[93, 92])).
% 134.52/85.20 tff(95,plain,
% 134.52/85.20 ((~v160(constB188)) | v163(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[94, 88, 78])).
% 134.52/85.20 tff(96,plain,
% 134.52/85.20 (v163(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[95, 42])).
% 134.52/85.20 tff(97,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v162(VarCurr) | (~v163(VarCurr))) <=> (v162(VarCurr) | (~v163(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(98,plain,
% 134.52/85.20 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[97])).
% 134.52/85.20 tff(99,plain,
% 134.52/85.20 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr))) <=> ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(100,axiom,(![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_38_1_1_2')).
% 134.52/85.20 tff(101,plain,
% 134.52/85.20 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[100, 99])).
% 134.52/85.20 tff(102,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[101])).
% 134.52/85.20 tff(103,plain,
% 134.52/85.20 (![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[102, 98])).
% 134.52/85.20 tff(104,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB188) | (~v163(constB188)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB188) | (~v163(constB188)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(105,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB188) | (~v163(constB188)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(106,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB188) | (~v163(constB188))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[105, 104])).
% 134.52/85.20 tff(107,plain,
% 134.52/85.20 (v162(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[106, 103, 96])).
% 134.52/85.20 tff(108,plain,
% 134.52/85.20 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(109,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_187_1')).
% 134.52/85.20 tff(110,plain,
% 134.52/85.20 (nextState(constB187, constB188)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[109, 108])).
% 134.52/85.20 tff(111,plain,
% 134.52/85.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB187, constB188)) | v160(constB187) | (~v162(constB188)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB187, constB188)) | v160(constB187) | (~v162(constB188)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(112,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB187, constB188)) | v160(constB187) | (~v162(constB188)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(113,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB187, constB188)) | v160(constB187) | (~v162(constB188))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[112, 111])).
% 134.52/85.20 tff(114,plain,
% 134.52/85.20 (v160(constB187) | (~v162(constB188))),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[113, 37, 110])).
% 134.52/85.20 tff(115,plain,
% 134.52/85.20 (v160(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[114, 107])).
% 134.52/85.20 tff(116,assumption,(v18(constB188)), introduced(assumption)).
% 134.52/85.20 tff(117,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((~v18(VarCurr)) <=> (~v18(VarCurr)))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(118,plain,
% 134.52/85.20 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[117])).
% 134.52/85.20 tff(119,plain,
% 134.52/85.20 (![VarCurr: $i] : (~v18(VarCurr)) <=> ![VarCurr: $i] : (~v18(VarCurr))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(120,axiom,(![VarCurr: $i] : (~v18(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_3_1_1')).
% 134.52/85.20 tff(121,plain,
% 134.52/85.20 (![VarCurr: $i] : (~v18(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[120, 119])).
% 134.52/85.20 tff(122,plain,(
% 134.52/85.20 ![VarCurr: $i] : (~v18(VarCurr))),
% 134.52/85.20 inference(skolemize,[status(sab)],[121])).
% 134.52/85.20 tff(123,plain,
% 134.52/85.20 (![VarCurr: $i] : (~v18(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[122, 118])).
% 134.52/85.20 tff(124,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB188))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(125,plain,
% 134.52/85.20 ($false),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[124, 123, 116])).
% 134.52/85.20 tff(126,plain,(~v18(constB188)), inference(lemma,lemma(discharge,[]))).
% 134.52/85.20 tff(127,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v22(VarCurr) | (~v1(VarCurr))) <=> (v22(VarCurr) | (~v1(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(128,plain,
% 134.52/85.20 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[127])).
% 134.52/85.20 tff(129,plain,
% 134.52/85.20 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(130,axiom,(![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_1_1_1_1_1')).
% 134.52/85.20 tff(131,plain,
% 134.52/85.20 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[130, 129])).
% 134.52/85.20 tff(132,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[131])).
% 134.52/85.20 tff(133,plain,
% 134.52/85.20 (![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[132, 128])).
% 134.52/85.20 tff(134,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(135,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB188) | (~v1(constB188)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(136,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB188) | (~v1(constB188))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[135, 134])).
% 134.52/85.20 tff(137,plain,
% 134.52/85.20 (v22(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[136, 133, 45])).
% 134.52/85.20 tff(138,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl(((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(139,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[138])).
% 134.52/85.20 tff(140,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(141,plain,
% 134.52/85.20 (^[VarCurr: $i] : rewrite(((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr)))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(142,plain,
% 134.52/85.20 (![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr))) <=> ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[141])).
% 134.52/85.20 tff(143,axiom,(![VarCurr: $i] : ((v18(VarCurr) | (~v22(VarCurr))) | (~v19(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_2_1_1_1')).
% 134.52/85.20 tff(144,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[143, 142])).
% 134.52/85.20 tff(145,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[144, 140])).
% 134.52/85.20 tff(146,plain,(
% 134.52/85.20 ![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 134.52/85.20 inference(skolemize,[status(sab)],[145])).
% 134.52/85.20 tff(147,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[146, 139])).
% 134.52/85.20 tff(148,plain,
% 134.52/85.20 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB188)) | (~v22(constB188)) | v18(constB188))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB188)) | (~v22(constB188)) | v18(constB188))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(149,plain,
% 134.52/85.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB188)) | (~v22(constB188)) | v18(constB188))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(150,plain,
% 134.52/85.20 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB188)) | (~v22(constB188)) | v18(constB188)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[149, 148])).
% 134.52/85.20 tff(151,plain,
% 134.52/85.20 ((~v19(constB188)) | v18(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[150, 147, 137])).
% 134.52/85.20 tff(152,plain,
% 134.52/85.20 (~v19(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[151, 126])).
% 134.52/85.20 tff(153,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v13(VarCurr) | v19(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(154,plain,
% 134.52/85.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[153])).
% 134.52/85.20 tff(155,plain,
% 134.52/85.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(156,plain,
% 134.52/85.20 (^[VarCurr: $i] : rewrite((v19(VarCurr) | v13(VarCurr)) <=> (v13(VarCurr) | v19(VarCurr)))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(157,plain,
% 134.52/85.20 (![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr)) <=> ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[156])).
% 134.52/85.20 tff(158,axiom,(![VarCurr: $i] : (v19(VarCurr) | v13(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_44_1_1_2')).
% 134.52/85.20 tff(159,plain,
% 134.52/85.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[158, 157])).
% 134.52/85.20 tff(160,plain,
% 134.52/85.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[159, 155])).
% 134.52/85.20 tff(161,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 134.52/85.20 inference(skolemize,[status(sab)],[160])).
% 134.52/85.20 tff(162,plain,
% 134.52/85.20 (![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[161, 154])).
% 134.52/85.20 tff(163,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(164,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB188) | v19(constB188))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(165,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB188) | v19(constB188)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[164, 163])).
% 134.52/85.20 tff(166,plain,
% 134.52/85.20 (v13(constB188)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[165, 162, 152])).
% 134.52/85.20 tff(167,plain,
% 134.52/85.20 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(168,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[167])).
% 134.52/85.20 tff(169,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(170,plain,
% 134.52/85.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr)))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(171,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[170])).
% 134.52/85.20 tff(172,axiom,(![VarNext: $i, VarCurr: $i] : ((v9(VarCurr) | (~v13(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_11_2')).
% 134.52/85.20 tff(173,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[172, 171])).
% 134.52/85.20 tff(174,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[173, 169])).
% 134.52/85.20 tff(175,plain,(
% 134.52/85.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 134.52/85.20 inference(skolemize,[status(sab)],[174])).
% 134.52/85.20 tff(176,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[175, 168])).
% 134.52/85.20 tff(177,plain,
% 134.52/85.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(178,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(179,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB187, constB188)) | (~v13(constB188)) | v9(constB187)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[178, 177])).
% 134.52/85.20 tff(180,plain,
% 134.52/85.20 ((~v13(constB188)) | v9(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[179, 176, 110])).
% 134.52/85.20 tff(181,plain,
% 134.52/85.20 (v9(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[180, 166])).
% 134.52/85.20 tff(182,plain,
% 134.52/85.20 ((~v1(constB187)) <=> (~v1(constB187))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(183,axiom,(~v1(constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_187_1_1')).
% 134.52/85.20 tff(184,plain,
% 134.52/85.20 (~v1(constB187)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[183, 182])).
% 134.52/85.20 tff(185,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(186,plain,
% 134.52/85.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[185])).
% 134.52/85.20 tff(187,plain,
% 134.52/85.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(188,plain,
% 134.52/85.20 (^[VarCurr: $i] : trans(monotonicity(rewrite((v141(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v141(VarCurr))), (((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v141(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v141(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))), (((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(189,plain,
% 134.52/85.20 (![VarCurr: $i] : ((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[188])).
% 134.52/85.20 tff(190,axiom,(![VarCurr: $i] : ((v141(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_28_1_1_1')).
% 134.52/85.20 tff(191,plain,
% 134.52/85.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[190, 189])).
% 134.52/85.20 tff(192,plain,
% 134.52/85.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[191, 187])).
% 134.52/85.20 tff(193,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 134.52/85.20 inference(skolemize,[status(sab)],[192])).
% 134.52/85.20 tff(194,plain,
% 134.52/85.20 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[193, 186])).
% 134.52/85.20 tff(195,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(196,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB187) | (~v9(constB187)) | v141(constB187))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(197,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB187) | (~v9(constB187)) | v141(constB187)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[196, 195])).
% 134.52/85.20 tff(198,plain,
% 134.52/85.20 ((~v9(constB187)) | v141(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[197, 194, 184])).
% 134.52/85.20 tff(199,plain,
% 134.52/85.20 (v141(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[198, 181])).
% 134.52/85.20 tff(200,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v140(VarCurr) | (~v141(VarCurr))) <=> (v140(VarCurr) | (~v141(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(201,plain,
% 134.52/85.20 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[200])).
% 134.52/85.20 tff(202,plain,
% 134.52/85.20 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(203,axiom,(![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_29_1_1_1')).
% 134.52/85.20 tff(204,plain,
% 134.52/85.20 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[203, 202])).
% 134.52/85.20 tff(205,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[204])).
% 134.52/85.20 tff(206,plain,
% 134.52/85.20 (![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[205, 201])).
% 134.52/85.20 tff(207,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB187) | (~v141(constB187)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB187) | (~v141(constB187)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(208,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB187) | (~v141(constB187)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(209,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB187) | (~v141(constB187))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[208, 207])).
% 134.52/85.20 tff(210,plain,
% 134.52/85.20 (v140(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[209, 206, 199])).
% 134.52/85.20 tff(211,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v163(VarCurr))) <=> ((~v140(VarCurr)) | (~v163(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(212,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[211])).
% 134.52/85.20 tff(213,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(214,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_38_1_1_3')).
% 134.52/85.20 tff(215,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[214, 213])).
% 134.52/85.20 tff(216,plain,(
% 134.52/85.20 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[215])).
% 134.52/85.20 tff(217,plain,
% 134.52/85.20 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[216, 212])).
% 134.52/85.20 tff(218,plain,
% 134.52/85.20 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB187)) | (~v163(constB187)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB187)) | (~v163(constB187)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(219,plain,
% 134.52/85.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB187)) | (~v163(constB187)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(220,plain,
% 134.52/85.20 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB187)) | (~v163(constB187))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[219, 218])).
% 134.52/85.20 tff(221,plain,
% 134.52/85.20 (~v163(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[220, 217, 210])).
% 134.52/85.20 tff(222,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB187)) | v163(constB187) | v164(constB187))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB187)) | v163(constB187) | v164(constB187))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(223,plain,
% 134.52/85.20 ((v164(constB187) | v163(constB187) | (~v160(constB187))) <=> ((~v160(constB187)) | v163(constB187) | v164(constB187))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(224,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB187) | v163(constB187) | (~v160(constB187)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB187)) | v163(constB187) | v164(constB187)))),
% 134.52/85.20 inference(monotonicity,[status(thm)],[223])).
% 134.52/85.20 tff(225,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB187) | v163(constB187) | (~v160(constB187)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB187)) | v163(constB187) | v164(constB187))),
% 134.52/85.20 inference(transitivity,[status(thm)],[224, 222])).
% 134.52/85.20 tff(226,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB187) | v163(constB187) | (~v160(constB187)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(227,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB187)) | v163(constB187) | v164(constB187)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[226, 225])).
% 134.52/85.20 tff(228,plain,
% 134.52/85.20 ((~v160(constB187)) | v164(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[227, 88, 221])).
% 134.52/85.20 tff(229,plain,
% 134.52/85.20 (v164(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[228, 115])).
% 134.52/85.20 tff(230,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v152(VarCurr) | (~v164(VarCurr))) <=> (v152(VarCurr) | (~v164(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(231,plain,
% 134.52/85.20 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[230])).
% 134.52/85.20 tff(232,plain,
% 134.52/85.20 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(233,axiom,(![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_39_1_1_2')).
% 134.52/85.20 tff(234,plain,
% 134.52/85.20 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[233, 232])).
% 134.52/85.20 tff(235,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[234])).
% 134.52/85.20 tff(236,plain,
% 134.52/85.20 (![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[235, 231])).
% 134.52/85.20 tff(237,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB187) | (~v164(constB187)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB187) | (~v164(constB187)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(238,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB187) | (~v164(constB187)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(239,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB187) | (~v164(constB187))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[238, 237])).
% 134.52/85.20 tff(240,plain,
% 134.52/85.20 (v152(constB187)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[239, 236, 229])).
% 134.52/85.20 tff(241,plain,
% 134.52/85.20 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(242,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_186_1')).
% 134.52/85.20 tff(243,plain,
% 134.52/85.20 (nextState(constB186, constB187)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[242, 241])).
% 134.52/85.20 tff(244,plain,
% 134.52/85.20 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(245,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[244])).
% 134.52/85.20 tff(246,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(247,plain,
% 134.52/85.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(248,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[247])).
% 134.52/85.20 tff(249,axiom,(![VarNext: $i, VarCurr: $i] : ((v150(VarCurr) | (~v152(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_9_1_2')).
% 134.52/85.20 tff(250,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[249, 248])).
% 134.52/85.20 tff(251,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[250, 246])).
% 134.52/85.20 tff(252,plain,(
% 134.52/85.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[251])).
% 134.52/85.20 tff(253,plain,
% 134.52/85.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[252, 245])).
% 134.52/85.20 tff(254,plain,
% 134.52/85.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB186, constB187)) | v150(constB186) | (~v152(constB187)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB186, constB187)) | v150(constB186) | (~v152(constB187)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(255,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB186, constB187)) | v150(constB186) | (~v152(constB187)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(256,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB186, constB187)) | v150(constB186) | (~v152(constB187))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[255, 254])).
% 134.52/85.20 tff(257,plain,
% 134.52/85.20 (v150(constB186) | (~v152(constB187))),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[256, 253, 243])).
% 134.52/85.20 tff(258,plain,
% 134.52/85.20 (v150(constB186)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[257, 240])).
% 134.52/85.20 tff(259,plain,
% 134.52/85.20 (v1(constB186) <=> v1(constB186)),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(260,axiom,(v1(constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_186_1')).
% 134.52/85.20 tff(261,plain,
% 134.52/85.20 (v1(constB186)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[260, 259])).
% 134.52/85.20 tff(262,plain,
% 134.52/85.20 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(263,plain,
% 134.52/85.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB186)) | (~v141(constB186)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(264,plain,
% 134.52/85.20 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB186)) | (~v141(constB186))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[263, 262])).
% 134.52/85.20 tff(265,plain,
% 134.52/85.20 (~v141(constB186)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[264, 52, 261])).
% 134.52/85.20 tff(266,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB186) | (~v155(constB186)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB186) | (~v155(constB186)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(267,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB186) | (~v155(constB186)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(268,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB186) | (~v155(constB186))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[267, 266])).
% 134.52/85.20 tff(269,plain,
% 134.52/85.20 (~v155(constB186)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[268, 63, 265])).
% 134.52/85.20 tff(270,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v155(VarCurr) | (~v154(VarCurr))) <=> (v155(VarCurr) | (~v154(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(271,plain,
% 134.52/85.20 (![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[270])).
% 134.52/85.20 tff(272,plain,
% 134.52/85.20 (![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(273,axiom,(![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_36_1_1_2')).
% 134.52/85.20 tff(274,plain,
% 134.52/85.20 (![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[273, 272])).
% 134.52/85.20 tff(275,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[274])).
% 134.52/85.20 tff(276,plain,
% 134.52/85.20 (![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[275, 271])).
% 134.52/85.20 tff(277,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB186) | (~v154(constB186)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB186) | (~v154(constB186)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(278,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB186) | (~v154(constB186)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(279,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB186) | (~v154(constB186))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[278, 277])).
% 134.52/85.20 tff(280,plain,
% 134.52/85.20 (~v154(constB186)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[279, 276, 269])).
% 134.52/85.20 tff(281,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(282,plain,
% 134.52/85.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[281])).
% 134.52/85.20 tff(283,plain,
% 134.52/85.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(284,plain,
% 134.52/85.20 (^[VarCurr: $i] : trans(monotonicity(rewrite((v154(VarCurr) | v153(VarCurr)) <=> (v153(VarCurr) | v154(VarCurr))), (((v154(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> ((v153(VarCurr) | v154(VarCurr)) | (~v150(VarCurr))))), rewrite(((v153(VarCurr) | v154(VarCurr)) | (~v150(VarCurr))) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))), (((v154(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(285,plain,
% 134.52/85.20 (![VarCurr: $i] : ((v154(VarCurr) | v153(VarCurr)) | (~v150(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[284])).
% 134.52/85.20 tff(286,axiom,(![VarCurr: $i] : ((v154(VarCurr) | v153(VarCurr)) | (~v150(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_37_1_3')).
% 134.52/85.20 tff(287,plain,
% 134.52/85.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[286, 285])).
% 134.52/85.20 tff(288,plain,
% 134.52/85.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[287, 283])).
% 134.52/85.20 tff(289,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[288])).
% 134.52/85.20 tff(290,plain,
% 134.52/85.20 (![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[289, 282])).
% 134.52/85.20 tff(291,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB186) | v154(constB186) | (~v150(constB186)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB186) | v154(constB186) | (~v150(constB186)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(292,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB186) | v154(constB186) | (~v150(constB186)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(293,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB186) | v154(constB186) | (~v150(constB186))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[292, 291])).
% 134.52/85.20 tff(294,plain,
% 134.52/85.20 (v153(constB186) | (~v150(constB186))),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[293, 290, 280])).
% 134.52/85.20 tff(295,plain,
% 134.52/85.20 (v153(constB186)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[294, 258])).
% 134.52/85.20 tff(296,plain,
% 134.52/85.20 (^[VarCurr: $i] : refl((v152(VarCurr) | (~v153(VarCurr))) <=> (v152(VarCurr) | (~v153(VarCurr))))),
% 134.52/85.20 inference(bind,[status(th)],[])).
% 134.52/85.20 tff(297,plain,
% 134.52/85.20 (![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 134.52/85.20 inference(quant_intro,[status(thm)],[296])).
% 134.52/85.20 tff(298,plain,
% 134.52/85.20 (![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr))) <=> ![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(299,axiom,(![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_34_1_1_2')).
% 134.52/85.20 tff(300,plain,
% 134.52/85.20 (![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[299, 298])).
% 134.52/85.20 tff(301,plain,(
% 134.52/85.20 ![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 134.52/85.20 inference(skolemize,[status(sab)],[300])).
% 134.52/85.20 tff(302,plain,
% 134.52/85.20 (![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[301, 297])).
% 134.52/85.20 tff(303,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB186) | (~v153(constB186)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB186) | (~v153(constB186)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(304,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB186) | (~v153(constB186)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(305,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB186) | (~v153(constB186))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[304, 303])).
% 134.52/85.20 tff(306,plain,
% 134.52/85.20 (v152(constB186)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[305, 302, 295])).
% 134.52/85.20 tff(307,plain,
% 134.52/85.20 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(308,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_185_1')).
% 134.52/85.20 tff(309,plain,
% 134.52/85.20 (nextState(constB185, constB186)),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[308, 307])).
% 134.52/85.20 tff(310,plain,
% 134.52/85.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB185, constB186)) | v150(constB185) | (~v152(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB185, constB186)) | v150(constB185) | (~v152(constB186)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(311,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB185, constB186)) | v150(constB185) | (~v152(constB186)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(312,plain,
% 134.52/85.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB185, constB186)) | v150(constB185) | (~v152(constB186))),
% 134.52/85.20 inference(modus_ponens,[status(thm)],[311, 310])).
% 134.52/85.20 tff(313,plain,
% 134.52/85.20 (v150(constB185) | (~v152(constB186))),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[312, 253, 309])).
% 134.52/85.20 tff(314,plain,
% 134.52/85.20 (v150(constB185)),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[313, 306])).
% 134.52/85.20 tff(315,assumption,(v18(constB186)), introduced(assumption)).
% 134.52/85.20 tff(316,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB186))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(317,plain,
% 134.52/85.20 ($false),
% 134.52/85.20 inference(unit_resolution,[status(thm)],[316, 123, 315])).
% 134.52/85.20 tff(318,plain,(~v18(constB186)), inference(lemma,lemma(discharge,[]))).
% 134.52/85.20 tff(319,plain,
% 134.52/85.20 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186)))),
% 134.52/85.20 inference(rewrite,[status(thm)],[])).
% 134.52/85.20 tff(320,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB186) | (~v1(constB186)))),
% 134.52/85.20 inference(quant_inst,[status(thm)],[])).
% 134.52/85.20 tff(321,plain,
% 134.52/85.20 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB186) | (~v1(constB186))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[320, 319])).
% 134.52/85.21 tff(322,plain,
% 134.52/85.21 (v22(constB186)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[321, 133, 261])).
% 134.52/85.21 tff(323,plain,
% 134.52/85.21 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(324,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB186)) | (~v22(constB186)) | v18(constB186))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(325,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB186)) | (~v22(constB186)) | v18(constB186)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[324, 323])).
% 134.52/85.21 tff(326,plain,
% 134.52/85.21 ((~v19(constB186)) | v18(constB186)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[325, 147, 322])).
% 134.52/85.21 tff(327,plain,
% 134.52/85.21 (~v19(constB186)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[326, 318])).
% 134.52/85.21 tff(328,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(329,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB186) | v19(constB186))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(330,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB186) | v19(constB186)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[329, 328])).
% 134.52/85.21 tff(331,plain,
% 134.52/85.21 (v13(constB186)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[330, 162, 327])).
% 134.52/85.21 tff(332,plain,
% 134.52/85.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(333,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(334,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB185, constB186)) | (~v13(constB186)) | v9(constB185)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[333, 332])).
% 134.52/85.21 tff(335,plain,
% 134.52/85.21 ((~v13(constB186)) | v9(constB185)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[334, 176, 309])).
% 134.52/85.21 tff(336,plain,
% 134.52/85.21 (v9(constB185)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[335, 331])).
% 134.52/85.21 tff(337,plain,
% 134.52/85.21 ((~v1(constB185)) <=> (~v1(constB185))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(338,axiom,(~v1(constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_185_1_1')).
% 134.52/85.21 tff(339,plain,
% 134.52/85.21 (~v1(constB185)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[338, 337])).
% 134.52/85.21 tff(340,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(341,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v141(constB185))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(342,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB185) | (~v9(constB185)) | v141(constB185)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[341, 340])).
% 134.52/85.21 tff(343,plain,
% 134.52/85.21 ((~v9(constB185)) | v141(constB185)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[342, 194, 339])).
% 134.52/85.21 tff(344,plain,
% 134.52/85.21 (v141(constB185)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[343, 336])).
% 134.52/85.21 tff(345,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB185) | (~v141(constB185)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB185) | (~v141(constB185)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(346,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB185) | (~v141(constB185)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(347,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB185) | (~v141(constB185))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[346, 345])).
% 134.52/85.21 tff(348,plain,
% 134.52/85.21 (v140(constB185)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[347, 206, 344])).
% 134.52/85.21 tff(349,plain,
% 134.52/85.21 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v153(VarCurr))) <=> ((~v140(VarCurr)) | (~v153(VarCurr))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(350,plain,
% 134.52/85.21 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[349])).
% 134.52/85.21 tff(351,plain,
% 134.52/85.21 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(352,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_34_1_1_3')).
% 134.52/85.21 tff(353,plain,
% 134.52/85.21 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[352, 351])).
% 134.52/85.21 tff(354,plain,(
% 134.52/85.21 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[353])).
% 134.52/85.21 tff(355,plain,
% 134.52/85.21 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[354, 350])).
% 134.52/85.21 tff(356,plain,
% 134.52/85.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB185)) | (~v153(constB185)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB185)) | (~v153(constB185)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(357,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB185)) | (~v153(constB185)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(358,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB185)) | (~v153(constB185))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[357, 356])).
% 134.52/85.21 tff(359,plain,
% 134.52/85.21 (~v153(constB185)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[358, 355, 348])).
% 134.52/85.21 tff(360,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB185) | v154(constB185) | (~v150(constB185)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB185) | v154(constB185) | (~v150(constB185)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(361,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB185) | v154(constB185) | (~v150(constB185)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(362,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB185) | v154(constB185) | (~v150(constB185))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[361, 360])).
% 134.52/85.21 tff(363,plain,
% 134.52/85.21 (v154(constB185) | (~v150(constB185))),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[362, 290, 359])).
% 134.52/85.21 tff(364,plain,
% 134.52/85.21 (v154(constB185)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[363, 314])).
% 134.52/85.21 tff(365,plain,
% 134.52/85.21 (^[VarCurr: $i] : refl((v137(VarCurr) | (~v154(VarCurr))) <=> (v137(VarCurr) | (~v154(VarCurr))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(366,plain,
% 134.52/85.21 (![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[365])).
% 134.52/85.21 tff(367,plain,
% 134.52/85.21 (![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(368,axiom,(![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_36_1_1_3')).
% 134.52/85.21 tff(369,plain,
% 134.52/85.21 (![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[368, 367])).
% 134.52/85.21 tff(370,plain,(
% 134.52/85.21 ![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[369])).
% 134.52/85.21 tff(371,plain,
% 134.52/85.21 (![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[370, 366])).
% 134.52/85.21 tff(372,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB185) | (~v154(constB185)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB185) | (~v154(constB185)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(373,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB185) | (~v154(constB185)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(374,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB185) | (~v154(constB185))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[373, 372])).
% 134.52/85.21 tff(375,plain,
% 134.52/85.21 (v137(constB185)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[374, 371, 364])).
% 134.52/85.21 tff(376,plain,
% 134.52/85.21 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(377,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_184_1')).
% 134.52/85.21 tff(378,plain,
% 134.52/85.21 (nextState(constB184, constB185)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[377, 376])).
% 134.52/85.21 tff(379,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(380,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[379])).
% 134.52/85.21 tff(381,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(382,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : rewrite(((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(383,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[382])).
% 134.52/85.21 tff(384,axiom,(![VarNext: $i, VarCurr: $i] : ((v135(VarCurr) | (~v137(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_2')).
% 134.52/85.21 tff(385,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[384, 383])).
% 134.52/85.21 tff(386,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[385, 381])).
% 134.52/85.21 tff(387,plain,(
% 134.52/85.21 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[386])).
% 134.52/85.21 tff(388,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[387, 380])).
% 134.52/85.21 tff(389,plain,
% 134.52/85.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB184, constB185)) | v135(constB184) | (~v137(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB184, constB185)) | v135(constB184) | (~v137(constB185)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(390,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB184, constB185)) | v135(constB184) | (~v137(constB185)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(391,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB184, constB185)) | v135(constB184) | (~v137(constB185))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[390, 389])).
% 134.52/85.21 tff(392,plain,
% 134.52/85.21 (v135(constB184) | (~v137(constB185))),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[391, 388, 378])).
% 134.52/85.21 tff(393,plain,
% 134.52/85.21 (v135(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[392, 375])).
% 134.52/85.21 tff(394,plain,
% 134.52/85.21 (v1(constB184) <=> v1(constB184)),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(395,axiom,(v1(constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_184_1')).
% 134.52/85.21 tff(396,plain,
% 134.52/85.21 (v1(constB184)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[395, 394])).
% 134.52/85.21 tff(397,plain,
% 134.52/85.21 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(398,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB184)) | (~v141(constB184)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(399,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB184)) | (~v141(constB184))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[398, 397])).
% 134.52/85.21 tff(400,plain,
% 134.52/85.21 (~v141(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[399, 52, 396])).
% 134.52/85.21 tff(401,plain,
% 134.52/85.21 (^[VarCurr: $i] : refl((v141(VarCurr) | (~v144(VarCurr))) <=> (v141(VarCurr) | (~v144(VarCurr))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(402,plain,
% 134.52/85.21 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[401])).
% 134.52/85.21 tff(403,plain,
% 134.52/85.21 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(404,axiom,(![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_31_1_3')).
% 134.52/85.21 tff(405,plain,
% 134.52/85.21 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[404, 403])).
% 134.52/85.21 tff(406,plain,(
% 134.52/85.21 ![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[405])).
% 134.52/85.21 tff(407,plain,
% 134.52/85.21 (![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[406, 402])).
% 134.52/85.21 tff(408,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB184) | (~v144(constB184)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB184) | (~v144(constB184)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(409,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB184) | (~v144(constB184)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(410,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB184) | (~v144(constB184))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[409, 408])).
% 134.52/85.21 tff(411,plain,
% 134.52/85.21 (~v144(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[410, 407, 400])).
% 134.52/85.21 tff(412,plain,
% 134.52/85.21 (^[VarCurr: $i] : refl((v144(VarCurr) | (~v142(VarCurr))) <=> (v144(VarCurr) | (~v142(VarCurr))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(413,plain,
% 134.52/85.21 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[412])).
% 134.52/85.21 tff(414,plain,
% 134.52/85.21 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(415,axiom,(![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_32_1_1_2')).
% 134.52/85.21 tff(416,plain,
% 134.52/85.21 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[415, 414])).
% 134.52/85.21 tff(417,plain,(
% 134.52/85.21 ![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[416])).
% 134.52/85.21 tff(418,plain,
% 134.52/85.21 (![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[417, 413])).
% 134.52/85.21 tff(419,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB184) | (~v142(constB184)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB184) | (~v142(constB184)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(420,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB184) | (~v142(constB184)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(421,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB184) | (~v142(constB184))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[420, 419])).
% 134.52/85.21 tff(422,plain,
% 134.52/85.21 (~v142(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[421, 418, 411])).
% 134.52/85.21 tff(423,plain,
% 134.52/85.21 (^[VarCurr: $i] : refl((v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(424,plain,
% 134.52/85.21 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[423])).
% 134.52/85.21 tff(425,plain,
% 134.52/85.21 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(426,plain,
% 134.52/85.21 (^[VarCurr: $i] : trans(monotonicity(rewrite((v142(VarCurr) | v138(VarCurr)) <=> (v138(VarCurr) | v142(VarCurr))), (((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> ((v138(VarCurr) | v142(VarCurr)) | (~v135(VarCurr))))), rewrite(((v138(VarCurr) | v142(VarCurr)) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))), (((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(427,plain,
% 134.52/85.21 (![VarCurr: $i] : ((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[426])).
% 134.52/85.21 tff(428,axiom,(![VarCurr: $i] : ((v142(VarCurr) | v138(VarCurr)) | (~v135(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_33_1_3')).
% 134.52/85.21 tff(429,plain,
% 134.52/85.21 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[428, 427])).
% 134.52/85.21 tff(430,plain,
% 134.52/85.21 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[429, 425])).
% 134.52/85.21 tff(431,plain,(
% 134.52/85.21 ![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[430])).
% 134.52/85.21 tff(432,plain,
% 134.52/85.21 (![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[431, 424])).
% 134.52/85.21 tff(433,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB184) | v142(constB184) | (~v135(constB184)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB184) | v142(constB184) | (~v135(constB184)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(434,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB184) | v142(constB184) | (~v135(constB184)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(435,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB184) | v142(constB184) | (~v135(constB184))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[434, 433])).
% 134.52/85.21 tff(436,plain,
% 134.52/85.21 (v138(constB184) | (~v135(constB184))),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[435, 432, 422])).
% 134.52/85.21 tff(437,plain,
% 134.52/85.21 (v138(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[436, 393])).
% 134.52/85.21 tff(438,plain,
% 134.52/85.21 (^[VarCurr: $i] : refl((v137(VarCurr) | (~v138(VarCurr))) <=> (v137(VarCurr) | (~v138(VarCurr))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(439,plain,
% 134.52/85.21 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[438])).
% 134.52/85.21 tff(440,plain,
% 134.52/85.21 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(441,axiom,(![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_30_1_1_2')).
% 134.52/85.21 tff(442,plain,
% 134.52/85.21 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[441, 440])).
% 134.52/85.21 tff(443,plain,(
% 134.52/85.21 ![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[442])).
% 134.52/85.21 tff(444,plain,
% 134.52/85.21 (![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[443, 439])).
% 134.52/85.21 tff(445,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB184) | (~v138(constB184)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB184) | (~v138(constB184)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(446,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB184) | (~v138(constB184)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(447,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB184) | (~v138(constB184))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[446, 445])).
% 134.52/85.21 tff(448,plain,
% 134.52/85.21 (v137(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[447, 444, 437])).
% 134.52/85.21 tff(449,plain,
% 134.52/85.21 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(450,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_183_1')).
% 134.52/85.21 tff(451,plain,
% 134.52/85.21 (nextState(constB183, constB184)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[450, 449])).
% 134.52/85.21 tff(452,plain,
% 134.52/85.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB183, constB184)) | v135(constB183) | (~v137(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB183, constB184)) | v135(constB183) | (~v137(constB184)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(453,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB183, constB184)) | v135(constB183) | (~v137(constB184)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(454,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB183, constB184)) | v135(constB183) | (~v137(constB184))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[453, 452])).
% 134.52/85.21 tff(455,plain,
% 134.52/85.21 (v135(constB183) | (~v137(constB184))),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[454, 388, 451])).
% 134.52/85.21 tff(456,plain,
% 134.52/85.21 (v135(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[455, 448])).
% 134.52/85.21 tff(457,assumption,(v18(constB184)), introduced(assumption)).
% 134.52/85.21 tff(458,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB184))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(459,plain,
% 134.52/85.21 ($false),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[458, 123, 457])).
% 134.52/85.21 tff(460,plain,(~v18(constB184)), inference(lemma,lemma(discharge,[]))).
% 134.52/85.21 tff(461,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(462,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB184) | (~v1(constB184)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(463,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB184) | (~v1(constB184))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[462, 461])).
% 134.52/85.21 tff(464,plain,
% 134.52/85.21 (v22(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[463, 133, 396])).
% 134.52/85.21 tff(465,plain,
% 134.52/85.21 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB184)) | (~v22(constB184)) | v18(constB184))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB184)) | (~v22(constB184)) | v18(constB184))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(466,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB184)) | (~v22(constB184)) | v18(constB184))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(467,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB184)) | (~v22(constB184)) | v18(constB184)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[466, 465])).
% 134.52/85.21 tff(468,plain,
% 134.52/85.21 ((~v19(constB184)) | v18(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[467, 147, 464])).
% 134.52/85.21 tff(469,plain,
% 134.52/85.21 (~v19(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[468, 460])).
% 134.52/85.21 tff(470,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(471,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB184) | v19(constB184))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(472,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB184) | v19(constB184)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[471, 470])).
% 134.52/85.21 tff(473,plain,
% 134.52/85.21 (v13(constB184)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[472, 162, 469])).
% 134.52/85.21 tff(474,plain,
% 134.52/85.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(475,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(476,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB183, constB184)) | (~v13(constB184)) | v9(constB183)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[475, 474])).
% 134.52/85.21 tff(477,plain,
% 134.52/85.21 ((~v13(constB184)) | v9(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[476, 176, 451])).
% 134.52/85.21 tff(478,plain,
% 134.52/85.21 (v9(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[477, 473])).
% 134.52/85.21 tff(479,plain,
% 134.52/85.21 ((~v1(constB183)) <=> (~v1(constB183))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(480,axiom,(~v1(constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_183_1_1')).
% 134.52/85.21 tff(481,plain,
% 134.52/85.21 (~v1(constB183)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[480, 479])).
% 134.52/85.21 tff(482,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v141(constB183))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB183) | (~v9(constB183)) | v141(constB183))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(483,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB183) | (~v9(constB183)) | v141(constB183))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(484,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB183) | (~v9(constB183)) | v141(constB183)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[483, 482])).
% 134.52/85.21 tff(485,plain,
% 134.52/85.21 ((~v9(constB183)) | v141(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[484, 194, 481])).
% 134.52/85.21 tff(486,plain,
% 134.52/85.21 (v141(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[485, 478])).
% 134.52/85.21 tff(487,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB183) | (~v141(constB183)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB183) | (~v141(constB183)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(488,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB183) | (~v141(constB183)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(489,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB183) | (~v141(constB183))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[488, 487])).
% 134.52/85.21 tff(490,plain,
% 134.52/85.21 (v140(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[489, 206, 486])).
% 134.52/85.21 tff(491,plain,
% 134.52/85.21 (^[VarCurr: $i] : refl(((~v140(VarCurr)) | (~v138(VarCurr))) <=> ((~v140(VarCurr)) | (~v138(VarCurr))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(492,plain,
% 134.52/85.21 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[491])).
% 134.52/85.21 tff(493,plain,
% 134.52/85.21 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr))) <=> ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(494,axiom,(![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_30_1_1_3')).
% 134.52/85.21 tff(495,plain,
% 134.52/85.21 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[494, 493])).
% 134.52/85.21 tff(496,plain,(
% 134.52/85.21 ![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[495])).
% 134.52/85.21 tff(497,plain,
% 134.52/85.21 (![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[496, 492])).
% 134.52/85.21 tff(498,plain,
% 134.52/85.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB183)) | (~v140(constB183)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB183)) | (~v140(constB183)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(499,plain,
% 134.52/85.21 (((~v140(constB183)) | (~v138(constB183))) <=> ((~v138(constB183)) | (~v140(constB183)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(500,plain,
% 134.52/85.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB183)) | (~v138(constB183)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB183)) | (~v140(constB183))))),
% 134.52/85.21 inference(monotonicity,[status(thm)],[499])).
% 134.52/85.21 tff(501,plain,
% 134.52/85.21 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB183)) | (~v138(constB183)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB183)) | (~v140(constB183)))),
% 134.52/85.21 inference(transitivity,[status(thm)],[500, 498])).
% 134.52/85.21 tff(502,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB183)) | (~v138(constB183)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(503,plain,
% 134.52/85.21 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB183)) | (~v140(constB183))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[502, 501])).
% 134.52/85.21 tff(504,plain,
% 134.52/85.21 (~v138(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[503, 497, 490])).
% 134.52/85.21 tff(505,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB183) | v142(constB183) | (~v135(constB183)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB183) | v142(constB183) | (~v135(constB183)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(506,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB183) | v142(constB183) | (~v135(constB183)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(507,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB183) | v142(constB183) | (~v135(constB183))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[506, 505])).
% 134.52/85.21 tff(508,plain,
% 134.52/85.21 (v142(constB183) | (~v135(constB183))),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[507, 432, 504])).
% 134.52/85.21 tff(509,plain,
% 134.52/85.21 (v142(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[508, 456])).
% 134.52/85.21 tff(510,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB183) | (~v142(constB183)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB183) | (~v142(constB183)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(511,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB183) | (~v142(constB183)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(512,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB183) | (~v142(constB183))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[511, 510])).
% 134.52/85.21 tff(513,plain,
% 134.52/85.21 (v144(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[512, 418, 509])).
% 134.52/85.21 tff(514,plain,
% 134.52/85.21 (^[VarCurr: $i] : refl((v145(VarCurr) | (~v144(VarCurr))) <=> (v145(VarCurr) | (~v144(VarCurr))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(515,plain,
% 134.52/85.21 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[514])).
% 134.52/85.21 tff(516,plain,
% 134.52/85.21 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr))) <=> ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(517,axiom,(![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_31_1_2')).
% 134.52/85.21 tff(518,plain,
% 134.52/85.21 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[517, 516])).
% 134.52/85.21 tff(519,plain,(
% 134.52/85.21 ![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[518])).
% 134.52/85.21 tff(520,plain,
% 134.52/85.21 (![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[519, 515])).
% 134.52/85.21 tff(521,plain,
% 134.52/85.21 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB183) | (~v144(constB183)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB183) | (~v144(constB183)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(522,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB183) | (~v144(constB183)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(523,plain,
% 134.52/85.21 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB183) | (~v144(constB183))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[522, 521])).
% 134.52/85.21 tff(524,plain,
% 134.52/85.21 (v145(constB183)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[523, 520, 513])).
% 134.52/85.21 tff(525,assumption,(~v94(constB182)), introduced(assumption)).
% 134.52/85.21 tff(526,plain,
% 134.52/85.21 ((~v1(constB181)) <=> (~v1(constB181))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(527,axiom,(~v1(constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_181_1_1')).
% 134.52/85.21 tff(528,plain,
% 134.52/85.21 (~v1(constB181)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[527, 526])).
% 134.52/85.21 tff(529,plain,
% 134.52/85.21 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(530,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_181_1')).
% 134.52/85.21 tff(531,plain,
% 134.52/85.21 (nextState(constB181, constB182)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[530, 529])).
% 134.52/85.21 tff(532,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : refl((v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(533,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[532])).
% 134.52/85.21 tff(534,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(535,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(536,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[535])).
% 134.52/85.21 tff(537,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v98(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_5_1_2')).
% 134.52/85.21 tff(538,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[537, 536])).
% 134.52/85.21 tff(539,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[538, 534])).
% 134.52/85.21 tff(540,plain,(
% 134.52/85.21 ![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[539])).
% 134.52/85.21 tff(541,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[540, 533])).
% 134.52/85.21 tff(542,plain,
% 134.52/85.21 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(543,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(544,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB181) | (~nextState(constB181, constB182)) | (~v98(constB182))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[543, 542])).
% 134.52/85.21 tff(545,plain,
% 134.52/85.21 (~v98(constB182)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[544, 541, 531, 528])).
% 134.52/85.21 tff(546,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(547,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[546])).
% 134.52/85.21 tff(548,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(549,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v98(VarNext) | v96(VarNext)) <=> (v96(VarNext) | v98(VarNext))), (((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v96(VarNext) | v98(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v96(VarNext) | v98(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))), (((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(550,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[549])).
% 134.52/85.21 tff(551,axiom,(![VarNext: $i, VarCurr: $i] : ((v98(VarNext) | v96(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_12_1_2')).
% 134.52/85.21 tff(552,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[551, 550])).
% 134.52/85.21 tff(553,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[552, 548])).
% 134.52/85.21 tff(554,plain,(
% 134.52/85.21 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 134.52/85.21 inference(skolemize,[status(sab)],[553])).
% 134.52/85.21 tff(555,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[554, 547])).
% 134.52/85.21 tff(556,plain,
% 134.52/85.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(557,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB181, constB182)) | v96(constB182) | v98(constB182))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(558,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB181, constB182)) | v96(constB182) | v98(constB182)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[557, 556])).
% 134.52/85.21 tff(559,plain,
% 134.52/85.21 (v96(constB182) | v98(constB182)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[558, 555, 531])).
% 134.52/85.21 tff(560,plain,
% 134.52/85.21 (v96(constB182)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[559, 545])).
% 134.52/85.21 tff(561,plain,
% 134.52/85.21 (v1(constB182) <=> v1(constB182)),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(562,axiom,(v1(constB182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_182_1')).
% 134.52/85.21 tff(563,plain,
% 134.52/85.21 (v1(constB182)),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[562, 561])).
% 134.52/85.21 tff(564,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(565,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[564])).
% 134.52/85.21 tff(566,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(567,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) <=> (v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))), ((((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite(((v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))), ((((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(568,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : (((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[567])).
% 134.52/85.21 tff(569,axiom,(![VarNext: $i, VarCurr: $i] : (((v95(VarNext) | (~v1(VarNext))) | (~v96(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_18_1_1')).
% 134.52/85.21 tff(570,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[569, 568])).
% 134.52/85.21 tff(571,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[570, 566])).
% 134.52/85.21 tff(572,plain,(
% 134.52/85.21 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 134.52/85.21 inference(skolemize,[status(sab)],[571])).
% 134.52/85.21 tff(573,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[572, 565])).
% 134.52/85.21 tff(574,plain,
% 134.52/85.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(575,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182)))),
% 134.52/85.21 inference(quant_inst,[status(thm)],[])).
% 134.52/85.21 tff(576,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB181, constB182)) | v95(constB182) | (~v96(constB182)) | (~v1(constB182))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[575, 574])).
% 134.52/85.21 tff(577,plain,
% 134.52/85.21 (v95(constB182) | (~v96(constB182))),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[576, 573, 531, 563])).
% 134.52/85.21 tff(578,plain,
% 134.52/85.21 (v95(constB182)),
% 134.52/85.21 inference(unit_resolution,[status(thm)],[577, 560])).
% 134.52/85.21 tff(579,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(580,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[579])).
% 134.52/85.21 tff(581,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(582,plain,
% 134.52/85.21 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) <=> ((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))), ((((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))), ((((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))))),
% 134.52/85.21 inference(bind,[status(th)],[])).
% 134.52/85.21 tff(583,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : (((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 134.52/85.21 inference(quant_intro,[status(thm)],[582])).
% 134.52/85.21 tff(584,axiom,(![VarNext: $i, VarCurr: $i] : (((v94(VarNext) | (~v104(VarNext))) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_27_1_1')).
% 134.52/85.21 tff(585,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[584, 583])).
% 134.52/85.21 tff(586,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[585, 581])).
% 134.52/85.21 tff(587,plain,(
% 134.52/85.21 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 134.52/85.21 inference(skolemize,[status(sab)],[586])).
% 134.52/85.21 tff(588,plain,
% 134.52/85.21 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))),
% 134.52/85.21 inference(modus_ponens,[status(thm)],[587, 580])).
% 134.52/85.21 tff(589,plain,
% 134.52/85.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))),
% 134.52/85.21 inference(rewrite,[status(thm)],[])).
% 134.52/85.21 tff(590,plain,
% 134.52/85.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(591,plain,
% 134.52/85.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB181, constB182)) | (~v95(constB182)) | (~v104(constB182)) | v94(constB182)),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[590, 589])).
% 134.52/85.22 tff(592,plain,
% 134.52/85.22 ((~v95(constB182)) | (~v104(constB182)) | v94(constB182)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[591, 588, 531])).
% 134.52/85.22 tff(593,plain,
% 134.52/85.22 ((~v104(constB182)) | v94(constB182)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[592, 578])).
% 134.52/85.22 tff(594,plain,
% 134.52/85.22 (~v104(constB182)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[593, 525])).
% 134.52/85.22 tff(595,plain,
% 134.52/85.22 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(596,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[595])).
% 134.52/85.22 tff(597,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(598,plain,
% 134.52/85.22 (^[VarNext: $i, VarCurr: $i] : rewrite(((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext)))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(599,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[598])).
% 134.52/85.22 tff(600,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v102(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_1')).
% 134.52/85.22 tff(601,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[600, 599])).
% 134.52/85.22 tff(602,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[601, 597])).
% 134.52/85.22 tff(603,plain,(
% 134.52/85.22 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 134.52/85.22 inference(skolemize,[status(sab)],[602])).
% 134.52/85.22 tff(604,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[603, 596])).
% 134.52/85.22 tff(605,plain,
% 134.52/85.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(606,plain,
% 134.52/85.22 (((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182)) <=> ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(607,plain,
% 134.52/85.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))))),
% 134.52/85.22 inference(monotonicity,[status(thm)],[606])).
% 134.52/85.22 tff(608,plain,
% 134.52/85.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181)))),
% 134.52/85.22 inference(transitivity,[status(thm)],[607, 605])).
% 134.52/85.22 tff(609,plain,
% 134.52/85.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB181, constB182)) | (~v102(constB181)) | v104(constB182))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(610,plain,
% 134.52/85.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v102(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[609, 608])).
% 134.52/85.22 tff(611,plain,
% 134.52/85.22 (v104(constB182) | (~v102(constB181))),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[610, 604, 531])).
% 134.52/85.22 tff(612,plain,
% 134.52/85.22 (~v102(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[611, 594])).
% 134.52/85.22 tff(613,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v102(VarCurr) | (~v106(VarCurr))) <=> (v102(VarCurr) | (~v106(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(614,plain,
% 134.52/85.22 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[613])).
% 134.52/85.22 tff(615,plain,
% 134.52/85.22 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(616,axiom,(![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_26_1_1_1')).
% 134.52/85.22 tff(617,plain,
% 134.52/85.22 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[616, 615])).
% 134.52/85.22 tff(618,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[617])).
% 134.52/85.22 tff(619,plain,
% 134.52/85.22 (![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[618, 614])).
% 134.52/85.22 tff(620,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB181) | (~v106(constB181)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB181) | (~v106(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(621,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB181) | (~v106(constB181)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(622,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB181) | (~v106(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[621, 620])).
% 134.52/85.22 tff(623,plain,
% 134.52/85.22 (~v106(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[622, 619, 612])).
% 134.52/85.22 tff(624,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v102(VarCurr) | (~v26(VarCurr))) <=> (v102(VarCurr) | (~v26(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(625,plain,
% 134.52/85.22 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[624])).
% 134.52/85.22 tff(626,plain,
% 134.52/85.22 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(627,axiom,(![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_26_1_1_2')).
% 134.52/85.22 tff(628,plain,
% 134.52/85.22 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[627, 626])).
% 134.52/85.22 tff(629,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[628])).
% 134.52/85.22 tff(630,plain,
% 134.52/85.22 (![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[629, 625])).
% 134.52/85.22 tff(631,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB181) | (~v26(constB181)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB181) | (~v26(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(632,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB181) | (~v26(constB181)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(633,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB181) | (~v26(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[632, 631])).
% 134.52/85.22 tff(634,plain,
% 134.52/85.22 (~v26(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[633, 630, 612])).
% 134.52/85.22 tff(635,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(636,plain,
% 134.52/85.22 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[635])).
% 134.52/85.22 tff(637,plain,
% 134.52/85.22 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(638,plain,
% 134.52/85.22 (^[VarCurr: $i] : rewrite(((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr)))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(639,plain,
% 134.52/85.22 (![VarCurr: $i] : ((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[638])).
% 134.52/85.22 tff(640,axiom,(![VarCurr: $i] : ((v106(VarCurr) | (~v107(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_25_1_1_1')).
% 134.52/85.22 tff(641,plain,
% 134.52/85.22 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[640, 639])).
% 134.52/85.22 tff(642,plain,
% 134.52/85.22 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[641, 637])).
% 134.52/85.22 tff(643,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 134.52/85.22 inference(skolemize,[status(sab)],[642])).
% 134.52/85.22 tff(644,plain,
% 134.52/85.22 (![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[643, 636])).
% 134.52/85.22 tff(645,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(646,plain,
% 134.52/85.22 ((v26(constB181) | (~v107(constB181)) | v106(constB181)) <=> (v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(647,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | v106(constB181) | (~v107(constB181))))),
% 134.52/85.22 inference(monotonicity,[status(thm)],[646])).
% 134.52/85.22 tff(648,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181)))),
% 134.52/85.22 inference(transitivity,[status(thm)],[647, 645])).
% 134.52/85.22 tff(649,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB181) | (~v107(constB181)) | v106(constB181))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(650,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB181) | v106(constB181) | (~v107(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[649, 648])).
% 134.52/85.22 tff(651,plain,
% 134.52/85.22 (~v107(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[650, 644, 634, 623])).
% 134.52/85.22 tff(652,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v107(VarCurr) | (~v108(VarCurr))) <=> (v107(VarCurr) | (~v108(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(653,plain,
% 134.52/85.22 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[652])).
% 134.52/85.22 tff(654,plain,
% 134.52/85.22 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(655,axiom,(![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_24_1_2')).
% 134.52/85.22 tff(656,plain,
% 134.52/85.22 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[655, 654])).
% 134.52/85.22 tff(657,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[656])).
% 134.52/85.22 tff(658,plain,
% 134.52/85.22 (![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[657, 653])).
% 134.52/85.22 tff(659,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB181) | (~v108(constB181)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB181) | (~v108(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(660,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB181) | (~v108(constB181)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(661,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB181) | (~v108(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[660, 659])).
% 134.52/85.22 tff(662,plain,
% 134.52/85.22 (~v108(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[661, 658, 651])).
% 134.52/85.22 tff(663,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v109(VarCurr))) <=> (v108(VarCurr) | (~v109(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(664,plain,
% 134.52/85.22 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[663])).
% 134.52/85.22 tff(665,plain,
% 134.52/85.22 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(666,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_23_1_2')).
% 134.52/85.22 tff(667,plain,
% 134.52/85.22 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[666, 665])).
% 134.52/85.22 tff(668,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[667])).
% 134.52/85.22 tff(669,plain,
% 134.52/85.22 (![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[668, 664])).
% 134.52/85.22 tff(670,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB181) | (~v109(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB181) | (~v109(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(671,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB181) | (~v109(constB181)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(672,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB181) | (~v109(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[671, 670])).
% 134.52/85.22 tff(673,plain,
% 134.52/85.22 (~v109(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[672, 669, 662])).
% 134.52/85.22 tff(674,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v109(VarCurr) | (~v110(VarCurr))) <=> (v109(VarCurr) | (~v110(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(675,plain,
% 134.52/85.22 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[674])).
% 134.52/85.22 tff(676,plain,
% 134.52/85.22 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(677,axiom,(![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_22_1_1_2')).
% 134.52/85.22 tff(678,plain,
% 134.52/85.22 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[677, 676])).
% 134.52/85.22 tff(679,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[678])).
% 134.52/85.22 tff(680,plain,
% 134.52/85.22 (![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[679, 675])).
% 134.52/85.22 tff(681,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB181) | (~v110(constB181)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB181) | (~v110(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(682,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB181) | (~v110(constB181)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(683,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB181) | (~v110(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[682, 681])).
% 134.52/85.22 tff(684,plain,
% 134.52/85.22 (~v110(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[683, 680, 673])).
% 134.52/85.22 tff(685,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v110(VarCurr) | (~v111(VarCurr))) <=> (v110(VarCurr) | (~v111(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(686,plain,
% 134.52/85.22 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[685])).
% 134.52/85.22 tff(687,plain,
% 134.52/85.22 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(688,axiom,(![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_21_1_2')).
% 134.52/85.22 tff(689,plain,
% 134.52/85.22 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[688, 687])).
% 134.52/85.22 tff(690,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[689])).
% 134.52/85.22 tff(691,plain,
% 134.52/85.22 (![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[690, 686])).
% 134.52/85.22 tff(692,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB181) | (~v111(constB181)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB181) | (~v111(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(693,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB181) | (~v111(constB181)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(694,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB181) | (~v111(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[693, 692])).
% 134.52/85.22 tff(695,plain,
% 134.52/85.22 (~v111(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[694, 691, 684])).
% 134.52/85.22 tff(696,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v111(VarCurr) | (~v112(VarCurr))) <=> (v111(VarCurr) | (~v112(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(697,plain,
% 134.52/85.22 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[696])).
% 134.52/85.22 tff(698,plain,
% 134.52/85.22 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(699,axiom,(![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_20_1_2')).
% 134.52/85.22 tff(700,plain,
% 134.52/85.22 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[699, 698])).
% 134.52/85.22 tff(701,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[700])).
% 134.52/85.22 tff(702,plain,
% 134.52/85.22 (![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[701, 697])).
% 134.52/85.22 tff(703,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB181) | (~v112(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(704,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB181) | (~v112(constB181)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(705,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB181) | (~v112(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[704, 703])).
% 134.52/85.22 tff(706,plain,
% 134.52/85.22 (~v112(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[705, 702, 695])).
% 134.52/85.22 tff(707,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl((v112(VarCurr) | (~v145(VarCurr))) <=> (v112(VarCurr) | (~v145(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(708,plain,
% 134.52/85.22 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[707])).
% 134.52/85.22 tff(709,plain,
% 134.52/85.22 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(710,axiom,(![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_19_1_1_1')).
% 134.52/85.22 tff(711,plain,
% 134.52/85.22 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[710, 709])).
% 134.52/85.22 tff(712,plain,(
% 134.52/85.22 ![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[711])).
% 134.52/85.22 tff(713,plain,
% 134.52/85.22 (![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[712, 708])).
% 134.52/85.22 tff(714,plain,
% 134.52/85.22 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB181) | (~v145(constB181)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB181) | (~v145(constB181)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(715,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB181) | (~v145(constB181)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(716,plain,
% 134.52/85.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB181) | (~v145(constB181))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[715, 714])).
% 134.52/85.22 tff(717,plain,
% 134.52/85.22 (~v145(constB181)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[716, 713, 706])).
% 134.52/85.22 tff(718,assumption,(v145(constB183)), introduced(assumption)).
% 134.52/85.22 tff(719,plain,
% 134.52/85.22 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(720,plain,
% 134.52/85.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[719])).
% 134.52/85.22 tff(721,plain,
% 134.52/85.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(722,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_3')).
% 134.52/85.22 tff(723,plain,
% 134.52/85.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[722, 721])).
% 134.52/85.22 tff(724,plain,(
% 134.52/85.22 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 134.52/85.22 inference(skolemize,[status(sab)],[723])).
% 134.52/85.22 tff(725,plain,
% 134.52/85.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[724, 720])).
% 134.52/85.22 tff(726,plain,
% 134.52/85.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB183, bitIndex2)) | (~v145(constB183)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB183, bitIndex2)) | (~v145(constB183)))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(727,plain,
% 134.52/85.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB183, bitIndex2)) | (~v145(constB183)))),
% 134.52/85.22 inference(quant_inst,[status(thm)],[])).
% 134.52/85.22 tff(728,plain,
% 134.52/85.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB183, bitIndex2)) | (~v145(constB183))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[727, 726])).
% 134.52/85.22 tff(729,plain,
% 134.52/85.22 (~v84(constB183, bitIndex2)),
% 134.52/85.22 inference(unit_resolution,[status(thm)],[728, 725, 718])).
% 134.52/85.22 tff(730,plain,
% 134.52/85.22 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(731,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_182_1')).
% 134.52/85.22 tff(732,plain,
% 134.52/85.22 (nextState(constB182, constB183)),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[731, 730])).
% 134.52/85.22 tff(733,plain,
% 134.52/85.22 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(734,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[733])).
% 134.52/85.22 tff(735,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 134.52/85.22 inference(rewrite,[status(thm)],[])).
% 134.52/85.22 tff(736,plain,
% 134.52/85.22 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext)))),
% 134.52/85.22 inference(bind,[status(th)],[])).
% 134.52/85.22 tff(737,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 134.52/85.22 inference(quant_intro,[status(thm)],[736])).
% 134.52/85.22 tff(738,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v95(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_18_1_2')).
% 134.52/85.22 tff(739,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[738, 737])).
% 134.52/85.22 tff(740,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[739, 735])).
% 134.52/85.22 tff(741,plain,(
% 134.52/85.22 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 134.52/85.22 inference(skolemize,[status(sab)],[740])).
% 134.52/85.22 tff(742,plain,
% 134.52/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))),
% 134.52/85.22 inference(modus_ponens,[status(thm)],[741, 734])).
% 134.52/85.22 tff(743,plain,
% 134.52/85.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(744,plain,
% 134.58/85.22 (((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183)) <=> (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(745,plain,
% 134.58/85.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))))),
% 134.58/85.22 inference(monotonicity,[status(thm)],[744])).
% 134.58/85.22 tff(746,plain,
% 134.58/85.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183)))),
% 134.58/85.22 inference(transitivity,[status(thm)],[745, 743])).
% 134.58/85.22 tff(747,plain,
% 134.58/85.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB182, constB183)) | (~v95(constB183)) | v1(constB183))),
% 134.58/85.22 inference(quant_inst,[status(thm)],[])).
% 134.58/85.22 tff(748,plain,
% 134.58/85.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB183) | (~nextState(constB182, constB183)) | (~v95(constB183))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[747, 746])).
% 134.58/85.22 tff(749,plain,
% 134.58/85.22 (~v95(constB183)),
% 134.58/85.22 inference(unit_resolution,[status(thm)],[748, 742, 732, 481])).
% 134.58/85.22 tff(750,plain,
% 134.58/85.22 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))))),
% 134.58/85.22 inference(bind,[status(th)],[])).
% 134.58/85.22 tff(751,plain,
% 134.58/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 134.58/85.22 inference(quant_intro,[status(thm)],[750])).
% 134.58/85.22 tff(752,plain,
% 134.58/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(753,plain,
% 134.58/85.22 (^[VarNext: $i, VarCurr: $i] : rewrite(((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext))))),
% 134.58/85.22 inference(bind,[status(th)],[])).
% 134.58/85.22 tff(754,plain,
% 134.58/85.22 (![VarNext: $i, VarCurr: $i] : ((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 134.58/85.22 inference(quant_intro,[status(thm)],[753])).
% 134.58/85.22 tff(755,axiom,(![VarNext: $i, VarCurr: $i] : ((v95(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_27_1_3')).
% 134.58/85.22 tff(756,plain,
% 134.58/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[755, 754])).
% 134.58/85.22 tff(757,plain,
% 134.58/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[756, 752])).
% 134.58/85.22 tff(758,plain,(
% 134.58/85.22 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 134.58/85.22 inference(skolemize,[status(sab)],[757])).
% 134.58/85.22 tff(759,plain,
% 134.58/85.22 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[758, 751])).
% 134.58/85.22 tff(760,plain,
% 134.58/85.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(761,plain,
% 134.58/85.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183)))),
% 134.58/85.22 inference(quant_inst,[status(thm)],[])).
% 134.58/85.22 tff(762,plain,
% 134.58/85.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB182, constB183)) | v95(constB183) | (~v94(constB183))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[761, 760])).
% 134.58/85.22 tff(763,plain,
% 134.58/85.22 (v95(constB183) | (~v94(constB183))),
% 134.58/85.22 inference(unit_resolution,[status(thm)],[762, 759, 732])).
% 134.58/85.22 tff(764,plain,
% 134.58/85.22 (~v94(constB183)),
% 134.58/85.22 inference(unit_resolution,[status(thm)],[763, 749])).
% 134.58/85.22 tff(765,plain,
% 134.58/85.22 (less_3(bitIndex2) <=> less_3(bitIndex2)),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(766,axiom,(less_3(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_5_1')).
% 134.58/85.22 tff(767,plain,
% 134.58/85.22 (less_3(bitIndex2)),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[766, 765])).
% 134.58/85.22 tff(768,plain,
% 134.58/85.22 (^[B: $i, VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))))),
% 134.58/85.22 inference(bind,[status(th)],[])).
% 134.58/85.22 tff(769,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))),
% 134.58/85.22 inference(quant_intro,[status(thm)],[768])).
% 134.58/85.22 tff(770,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(771,plain,
% 134.58/85.22 (^[B: $i, VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v84(VarNext, B) | (~v84(VarCurr, B))) <=> (v84(VarNext, B) | (~v84(VarCurr, B)))), (((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) <=> ((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))))), rewrite(((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))), (((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))))), ((((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) | v94(VarNext)) <=> (((~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))) | v94(VarNext)))), rewrite((((~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))) | v94(VarNext)) <=> (v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))), ((((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) | v94(VarNext)) <=> (v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))))), (((((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))) | (~nextState(VarCurr, VarNext))))), rewrite(((v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))), (((((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))))),
% 134.58/85.22 inference(bind,[status(th)],[])).
% 134.58/85.22 tff(772,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))),
% 134.58/85.22 inference(quant_intro,[status(thm)],[771])).
% 134.58/85.22 tff(773,axiom,(![B: $i, VarNext: $i, VarCurr: $i] : ((((v84(VarNext, B) | (~v84(VarCurr, B))) | (~less_3(B))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_1')).
% 134.58/85.22 tff(774,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[773, 772])).
% 134.58/85.22 tff(775,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[774, 770])).
% 134.58/85.22 tff(776,plain,(
% 134.58/85.22 ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))),
% 134.58/85.22 inference(skolemize,[status(sab)],[775])).
% 134.58/85.22 tff(777,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[776, 769])).
% 134.58/85.22 tff(778,plain,
% 134.58/85.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB182, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB182, bitIndex2)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(779,plain,
% 134.58/85.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB182, bitIndex2)))),
% 134.58/85.22 inference(quant_inst,[status(thm)],[])).
% 134.58/85.22 tff(780,plain,
% 134.58/85.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB182, bitIndex2))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[779, 778])).
% 134.58/85.22 tff(781,plain,
% 134.58/85.22 (~v84(constB182, bitIndex2)),
% 134.58/85.22 inference(unit_resolution,[status(thm)],[780, 777, 767, 732, 764, 729])).
% 134.58/85.22 tff(782,plain,
% 134.58/85.22 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v145(VarCurr))))),
% 134.58/85.22 inference(bind,[status(th)],[])).
% 134.58/85.22 tff(783,plain,
% 134.58/85.22 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 134.58/85.22 inference(quant_intro,[status(thm)],[782])).
% 134.58/85.22 tff(784,plain,
% 134.58/85.22 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(785,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_2')).
% 134.58/85.22 tff(786,plain,
% 134.58/85.22 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[785, 784])).
% 134.58/85.22 tff(787,plain,(
% 134.58/85.22 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 134.58/85.22 inference(skolemize,[status(sab)],[786])).
% 134.58/85.22 tff(788,plain,
% 134.58/85.22 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[787, 783])).
% 134.58/85.22 tff(789,plain,
% 134.58/85.22 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB183, bitIndex0) | (~v145(constB183)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB183, bitIndex0) | (~v145(constB183)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(790,plain,
% 134.58/85.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB183, bitIndex0) | (~v145(constB183)))),
% 134.58/85.22 inference(quant_inst,[status(thm)],[])).
% 134.58/85.22 tff(791,plain,
% 134.58/85.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB183, bitIndex0) | (~v145(constB183))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[790, 789])).
% 134.58/85.22 tff(792,plain,
% 134.58/85.22 (v84(constB183, bitIndex0)),
% 134.58/85.22 inference(unit_resolution,[status(thm)],[791, 788, 718])).
% 134.58/85.22 tff(793,plain,
% 134.58/85.22 (less_3(bitIndex0) <=> less_3(bitIndex0)),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(794,axiom,(less_3(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_3_1')).
% 134.58/85.22 tff(795,plain,
% 134.58/85.22 (less_3(bitIndex0)),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[794, 793])).
% 134.58/85.22 tff(796,plain,
% 134.58/85.22 (^[B: $i, VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)))),
% 134.58/85.22 inference(bind,[status(th)],[])).
% 134.58/85.22 tff(797,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))),
% 134.58/85.22 inference(quant_intro,[status(thm)],[796])).
% 134.58/85.22 tff(798,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(799,plain,
% 134.58/85.22 (^[B: $i, VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v84(VarCurr, B) | (~v84(VarNext, B))) <=> ((~v84(VarNext, B)) | v84(VarCurr, B))), (((v84(VarCurr, B) | (~v84(VarNext, B))) | (~less_3(B))) <=> (((~v84(VarNext, B)) | v84(VarCurr, B)) | (~less_3(B))))), rewrite((((~v84(VarNext, B)) | v84(VarCurr, B)) | (~less_3(B))) <=> ((~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))), (((v84(VarCurr, B) | (~v84(VarNext, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)))), ((((v84(VarCurr, B) | (~v84(VarNext, B))) | (~less_3(B))) | v94(VarNext)) <=> (((~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)) | v94(VarNext)))), rewrite((((~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)) | v94(VarNext)) <=> (v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))), ((((v84(VarCurr, B) | (~v84(VarNext, B))) | (~less_3(B))) | v94(VarNext)) <=> (v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)))), (((((v84(VarCurr, B) | (~v84(VarNext, B))) | (~less_3(B))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)) | (~nextState(VarCurr, VarNext))))), rewrite(((v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))), (((((v84(VarCurr, B) | (~v84(VarNext, B))) | (~less_3(B))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))))),
% 134.58/85.22 inference(bind,[status(th)],[])).
% 134.58/85.22 tff(800,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((((v84(VarCurr, B) | (~v84(VarNext, B))) | (~less_3(B))) | v94(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))),
% 134.58/85.22 inference(quant_intro,[status(thm)],[799])).
% 134.58/85.22 tff(801,axiom,(![B: $i, VarNext: $i, VarCurr: $i] : ((((v84(VarCurr, B) | (~v84(VarNext, B))) | (~less_3(B))) | v94(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1_1_2')).
% 134.58/85.22 tff(802,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[801, 800])).
% 134.58/85.22 tff(803,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[802, 798])).
% 134.58/85.22 tff(804,plain,(
% 134.58/85.22 ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))),
% 134.58/85.22 inference(skolemize,[status(sab)],[803])).
% 134.58/85.22 tff(805,plain,
% 134.58/85.22 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[804, 797])).
% 134.58/85.22 tff(806,plain,
% 134.58/85.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB182, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB182, bitIndex0))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(807,plain,
% 134.58/85.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB182, bitIndex0))),
% 134.58/85.22 inference(quant_inst,[status(thm)],[])).
% 134.58/85.22 tff(808,plain,
% 134.58/85.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB182, bitIndex0)),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[807, 806])).
% 134.58/85.22 tff(809,plain,
% 134.58/85.22 (v84(constB182, bitIndex0)),
% 134.58/85.22 inference(unit_resolution,[status(thm)],[808, 805, 795, 732, 764, 792])).
% 134.58/85.22 tff(810,plain,
% 134.58/85.22 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))))),
% 134.58/85.22 inference(bind,[status(th)],[])).
% 134.58/85.22 tff(811,plain,
% 134.58/85.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 134.58/85.22 inference(quant_intro,[status(thm)],[810])).
% 134.58/85.22 tff(812,plain,
% 134.58/85.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(813,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_4')).
% 134.58/85.22 tff(814,plain,
% 134.58/85.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[813, 812])).
% 134.58/85.22 tff(815,plain,(
% 134.58/85.22 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 134.58/85.22 inference(skolemize,[status(sab)],[814])).
% 134.58/85.22 tff(816,plain,
% 134.58/85.22 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[815, 811])).
% 134.58/85.22 tff(817,plain,
% 134.58/85.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB183, bitIndex1)) | (~v145(constB183)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB183, bitIndex1)) | (~v145(constB183)))),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(818,plain,
% 134.58/85.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB183, bitIndex1)) | (~v145(constB183)))),
% 134.58/85.22 inference(quant_inst,[status(thm)],[])).
% 134.58/85.22 tff(819,plain,
% 134.58/85.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB183, bitIndex1)) | (~v145(constB183))),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[818, 817])).
% 134.58/85.22 tff(820,plain,
% 134.58/85.22 (~v84(constB183, bitIndex1)),
% 134.58/85.22 inference(unit_resolution,[status(thm)],[819, 816, 718])).
% 134.58/85.22 tff(821,plain,
% 134.58/85.22 (less_3(bitIndex1) <=> less_3(bitIndex1)),
% 134.58/85.22 inference(rewrite,[status(thm)],[])).
% 134.58/85.22 tff(822,axiom,(less_3(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lessPredicateGroundAxiom_4_1')).
% 134.58/85.22 tff(823,plain,
% 134.58/85.22 (less_3(bitIndex1)),
% 134.58/85.22 inference(modus_ponens,[status(thm)],[822, 821])).
% 134.58/85.22 tff(824,plain,
% 134.58/85.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex1)) | v84(constB183, bitIndex1) | (~v84(constB182, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex1)) | v84(constB183, bitIndex1) | (~v84(constB182, bitIndex1)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(825,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex1)) | v84(constB183, bitIndex1) | (~v84(constB182, bitIndex1)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(826,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex1)) | v84(constB183, bitIndex1) | (~v84(constB182, bitIndex1))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[825, 824])).
% 134.58/85.23 tff(827,plain,
% 134.58/85.23 (~v84(constB182, bitIndex1)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[826, 777, 823, 732, 764, 820])).
% 134.58/85.23 tff(828,assumption,(~v84(constB182, bitIndex1)), introduced(assumption)).
% 134.58/85.23 tff(829,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB182, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB182, bitIndex1))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(830,plain,
% 134.58/85.23 (((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v84(constB181, bitIndex1))) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB182, bitIndex1))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(831,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v84(constB181, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB182, bitIndex1)))),
% 134.58/85.23 inference(monotonicity,[status(thm)],[830])).
% 134.58/85.23 tff(832,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v84(constB181, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB182, bitIndex1))),
% 134.58/85.23 inference(transitivity,[status(thm)],[831, 829])).
% 134.58/85.23 tff(833,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v84(constB181, bitIndex1)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(834,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB182, bitIndex1)),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[833, 832])).
% 134.58/85.23 tff(835,plain,
% 134.58/85.23 (v94(constB182) | (~v84(constB181, bitIndex1))),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[834, 777, 823, 531, 828])).
% 134.58/85.23 tff(836,plain,
% 134.58/85.23 (~v84(constB181, bitIndex1)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[835, 525])).
% 134.58/85.23 tff(837,assumption,(v84(constB182, bitIndex0)), introduced(assumption)).
% 134.58/85.23 tff(838,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB182, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB182, bitIndex0)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(839,plain,
% 134.58/85.23 (((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB182, bitIndex0)) | v84(constB181, bitIndex0)) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB182, bitIndex0)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(840,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB182, bitIndex0)) | v84(constB181, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB182, bitIndex0))))),
% 134.58/85.23 inference(monotonicity,[status(thm)],[839])).
% 134.58/85.23 tff(841,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB182, bitIndex0)) | v84(constB181, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB182, bitIndex0)))),
% 134.58/85.23 inference(transitivity,[status(thm)],[840, 838])).
% 134.58/85.23 tff(842,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB182, bitIndex0)) | v84(constB181, bitIndex0))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(843,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB182, bitIndex0))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[842, 841])).
% 134.58/85.23 tff(844,plain,
% 134.58/85.23 (v94(constB182) | v84(constB181, bitIndex0)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[843, 805, 795, 531, 837])).
% 134.58/85.23 tff(845,plain,
% 134.58/85.23 (v84(constB181, bitIndex0)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[844, 525])).
% 134.58/85.23 tff(846,assumption,(~v84(constB182, bitIndex2)), introduced(assumption)).
% 134.58/85.23 tff(847,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB182, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB182, bitIndex2))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(848,plain,
% 134.58/85.23 (((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v84(constB181, bitIndex2))) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB182, bitIndex2))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(849,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v84(constB181, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB182, bitIndex2)))),
% 134.58/85.23 inference(monotonicity,[status(thm)],[848])).
% 134.58/85.23 tff(850,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v84(constB181, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB182, bitIndex2))),
% 134.58/85.23 inference(transitivity,[status(thm)],[849, 847])).
% 134.58/85.23 tff(851,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v84(constB181, bitIndex2)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(852,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB182, bitIndex2)),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[851, 850])).
% 134.58/85.23 tff(853,plain,
% 134.58/85.23 (v94(constB182) | (~v84(constB181, bitIndex2))),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[852, 777, 767, 531, 846])).
% 134.58/85.23 tff(854,plain,
% 134.58/85.23 (~v84(constB181, bitIndex2)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[853, 525])).
% 134.58/85.23 tff(855,assumption,(~v145(constB181)), introduced(assumption)).
% 134.58/85.23 tff(856,plain,
% 134.58/85.23 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)))),
% 134.58/85.23 inference(bind,[status(th)],[])).
% 134.58/85.23 tff(857,plain,
% 134.58/85.23 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 134.58/85.23 inference(quant_intro,[status(thm)],[856])).
% 134.58/85.23 tff(858,plain,
% 134.58/85.23 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(859,plain,
% 134.58/85.23 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr))), ((((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> (((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr)) | v84(VarCurr, bitIndex1)))), rewrite((((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex2) | v145(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))), ((((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))))),
% 134.58/85.23 inference(bind,[status(th)],[])).
% 134.58/85.23 tff(860,plain,
% 134.58/85.23 (![VarCurr: $i] : (((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 134.58/85.23 inference(quant_intro,[status(thm)],[859])).
% 134.58/85.23 tff(861,axiom,(![VarCurr: $i] : (((v145(VarCurr) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9_1_1_1')).
% 134.58/85.23 tff(862,plain,
% 134.58/85.23 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[861, 860])).
% 134.58/85.23 tff(863,plain,
% 134.58/85.23 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[862, 858])).
% 134.58/85.23 tff(864,plain,(
% 134.58/85.23 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 134.58/85.23 inference(skolemize,[status(sab)],[863])).
% 134.58/85.23 tff(865,plain,
% 134.58/85.23 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[864, 857])).
% 134.58/85.23 tff(866,plain,
% 134.58/85.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(867,plain,
% 134.58/85.23 (((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v145(constB181)) <=> (v145(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(868,plain,
% 134.58/85.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v145(constB181))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)))),
% 134.58/85.23 inference(monotonicity,[status(thm)],[867])).
% 134.58/85.23 tff(869,plain,
% 134.58/85.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v145(constB181))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))),
% 134.58/85.23 inference(transitivity,[status(thm)],[868, 866])).
% 134.58/85.23 tff(870,plain,
% 134.58/85.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | v145(constB181))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(871,plain,
% 134.58/85.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[870, 869])).
% 134.58/85.23 tff(872,plain,
% 134.58/85.23 ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[871, 865, 855])).
% 134.58/85.23 tff(873,plain,
% 134.58/85.23 ($false),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[872, 854, 845, 836])).
% 134.58/85.23 tff(874,plain,(v94(constB182) | v145(constB181) | v84(constB182, bitIndex1) | v84(constB182, bitIndex2) | (~v84(constB182, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.58/85.23 tff(875,plain,
% 134.58/85.23 ($false),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[874, 827, 809, 525, 781, 717])).
% 134.58/85.23 tff(876,plain,((~v145(constB183)) | v94(constB182)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.23 tff(877,plain,
% 134.58/85.23 (v94(constB182)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[876, 524])).
% 134.58/85.23 tff(878,assumption,(~v94(constB184)), introduced(assumption)).
% 134.58/85.23 tff(879,plain,
% 134.58/85.23 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(880,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(881,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB183) | (~nextState(constB183, constB184)) | (~v98(constB184))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[880, 879])).
% 134.58/85.23 tff(882,plain,
% 134.58/85.23 (~v98(constB184)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[881, 541, 451, 481])).
% 134.58/85.23 tff(883,plain,
% 134.58/85.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(884,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB183, constB184)) | v96(constB184) | v98(constB184))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(885,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB183, constB184)) | v96(constB184) | v98(constB184)),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[884, 883])).
% 134.58/85.23 tff(886,plain,
% 134.58/85.23 (v96(constB184) | v98(constB184)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[885, 555, 451])).
% 134.58/85.23 tff(887,plain,
% 134.58/85.23 (v96(constB184)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[886, 882])).
% 134.58/85.23 tff(888,plain,
% 134.58/85.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(889,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(890,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB183, constB184)) | v95(constB184) | (~v96(constB184)) | (~v1(constB184))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[889, 888])).
% 134.58/85.23 tff(891,plain,
% 134.58/85.23 (v95(constB184) | (~v96(constB184))),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[890, 573, 451, 396])).
% 134.58/85.23 tff(892,plain,
% 134.58/85.23 (v95(constB184)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[891, 887])).
% 134.58/85.23 tff(893,plain,
% 134.58/85.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(894,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(895,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB183, constB184)) | (~v95(constB184)) | (~v104(constB184)) | v94(constB184)),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[894, 893])).
% 134.58/85.23 tff(896,plain,
% 134.58/85.23 ((~v95(constB184)) | (~v104(constB184)) | v94(constB184)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[895, 588, 451])).
% 134.58/85.23 tff(897,plain,
% 134.58/85.23 ((~v104(constB184)) | v94(constB184)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[896, 892])).
% 134.58/85.23 tff(898,plain,
% 134.58/85.23 (~v104(constB184)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[897, 878])).
% 134.58/85.23 tff(899,plain,
% 134.58/85.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(900,plain,
% 134.58/85.23 (((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184)) <=> ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(901,plain,
% 134.58/85.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))))),
% 134.58/85.23 inference(monotonicity,[status(thm)],[900])).
% 134.58/85.23 tff(902,plain,
% 134.58/85.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183)))),
% 134.58/85.23 inference(transitivity,[status(thm)],[901, 899])).
% 134.58/85.23 tff(903,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB183, constB184)) | (~v102(constB183)) | v104(constB184))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(904,plain,
% 134.58/85.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB183, constB184)) | v104(constB184) | (~v102(constB183))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[903, 902])).
% 134.58/85.23 tff(905,plain,
% 134.58/85.23 (v104(constB184) | (~v102(constB183))),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[904, 604, 451])).
% 134.58/85.23 tff(906,plain,
% 134.58/85.23 (~v102(constB183)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[905, 898])).
% 134.58/85.23 tff(907,assumption,(~v102(constB183)), introduced(assumption)).
% 134.58/85.23 tff(908,plain,
% 134.58/85.23 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB183) | (~v106(constB183)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB183) | (~v106(constB183)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(909,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB183) | (~v106(constB183)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(910,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB183) | (~v106(constB183))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[909, 908])).
% 134.58/85.23 tff(911,plain,
% 134.58/85.23 (~v106(constB183)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[910, 619, 907])).
% 134.58/85.23 tff(912,plain,
% 134.58/85.23 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB183) | (~v26(constB183)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB183) | (~v26(constB183)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(913,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB183) | (~v26(constB183)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(914,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB183) | (~v26(constB183))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[913, 912])).
% 134.58/85.23 tff(915,plain,
% 134.58/85.23 (~v26(constB183)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[914, 630, 907])).
% 134.58/85.23 tff(916,assumption,(v107(constB183)), introduced(assumption)).
% 134.58/85.23 tff(917,plain,
% 134.58/85.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(918,plain,
% 134.58/85.23 ((v26(constB183) | (~v107(constB183)) | v106(constB183)) <=> (v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(919,plain,
% 134.58/85.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | v106(constB183) | (~v107(constB183))))),
% 134.58/85.23 inference(monotonicity,[status(thm)],[918])).
% 134.58/85.23 tff(920,plain,
% 134.58/85.23 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183)))),
% 134.58/85.23 inference(transitivity,[status(thm)],[919, 917])).
% 134.58/85.23 tff(921,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB183) | (~v107(constB183)) | v106(constB183))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(922,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB183) | v106(constB183) | (~v107(constB183))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[921, 920])).
% 134.58/85.23 tff(923,plain,
% 134.58/85.23 (v26(constB183) | v106(constB183)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[922, 644, 916])).
% 134.58/85.23 tff(924,plain,
% 134.58/85.23 ($false),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[923, 915, 911])).
% 134.58/85.23 tff(925,plain,(v102(constB183) | (~v107(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.58/85.23 tff(926,plain,
% 134.58/85.23 (~v107(constB183)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[925, 906])).
% 134.58/85.23 tff(927,assumption,(~v124(constB181, bitIndex0)), introduced(assumption)).
% 134.58/85.23 tff(928,plain,
% 134.58/85.23 (^[VarCurr: $i] : refl((v110(VarCurr) | (~v116(VarCurr))) <=> (v110(VarCurr) | (~v116(VarCurr))))),
% 134.58/85.23 inference(bind,[status(th)],[])).
% 134.58/85.23 tff(929,plain,
% 134.58/85.23 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 134.58/85.23 inference(quant_intro,[status(thm)],[928])).
% 134.58/85.23 tff(930,plain,
% 134.58/85.23 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(931,axiom,(![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_21_1_1')).
% 134.58/85.23 tff(932,plain,
% 134.58/85.23 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[931, 930])).
% 134.58/85.23 tff(933,plain,(
% 134.58/85.23 ![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 134.58/85.23 inference(skolemize,[status(sab)],[932])).
% 134.58/85.23 tff(934,plain,
% 134.58/85.23 (![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[933, 929])).
% 134.58/85.23 tff(935,plain,
% 134.58/85.23 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB181) | (~v116(constB181)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB181) | (~v116(constB181)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(936,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB181) | (~v116(constB181)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(937,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB181) | (~v116(constB181))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[936, 935])).
% 134.58/85.23 tff(938,plain,
% 134.58/85.23 (~v116(constB181)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[937, 934, 684])).
% 134.58/85.23 tff(939,plain,
% 134.58/85.23 (^[VarCurr: $i] : refl((v111(VarCurr) | (~v115(VarCurr))) <=> (v111(VarCurr) | (~v115(VarCurr))))),
% 134.58/85.23 inference(bind,[status(th)],[])).
% 134.58/85.23 tff(940,plain,
% 134.58/85.23 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 134.58/85.23 inference(quant_intro,[status(thm)],[939])).
% 134.58/85.23 tff(941,plain,
% 134.58/85.23 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(942,axiom,(![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_20_1_1')).
% 134.58/85.23 tff(943,plain,
% 134.58/85.23 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[942, 941])).
% 134.58/85.23 tff(944,plain,(
% 134.58/85.23 ![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 134.58/85.23 inference(skolemize,[status(sab)],[943])).
% 134.58/85.23 tff(945,plain,
% 134.58/85.23 (![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[944, 940])).
% 134.58/85.23 tff(946,plain,
% 134.58/85.23 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB181) | (~v115(constB181)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB181) | (~v115(constB181)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(947,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB181) | (~v115(constB181)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(948,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB181) | (~v115(constB181))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[947, 946])).
% 134.58/85.23 tff(949,plain,
% 134.58/85.23 (~v115(constB181)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[948, 945, 695])).
% 134.58/85.23 tff(950,assumption,(v84(constB181, bitIndex1)), introduced(assumption)).
% 134.58/85.23 tff(951,plain,
% 134.58/85.23 ($false),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[834, 777, 823, 531, 525, 828, 950])).
% 134.58/85.23 tff(952,plain,((~v84(constB181, bitIndex1)) | v94(constB182) | v84(constB182, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.23 tff(953,plain,
% 134.58/85.23 (~v84(constB181, bitIndex1)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[952, 828, 525])).
% 134.58/85.23 tff(954,plain,
% 134.58/85.23 (~v84(constB181, bitIndex2)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[852, 777, 767, 531, 525, 846])).
% 134.58/85.23 tff(955,plain,
% 134.58/85.23 (~v84(constB182, bitIndex0)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[874, 846, 525, 828, 717])).
% 134.58/85.23 tff(956,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB182, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB182, bitIndex0))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(957,plain,
% 134.58/85.23 (((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v84(constB181, bitIndex0))) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB182, bitIndex0))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(958,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v84(constB181, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB182, bitIndex0)))),
% 134.58/85.23 inference(monotonicity,[status(thm)],[957])).
% 134.58/85.23 tff(959,plain,
% 134.58/85.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v84(constB181, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB182, bitIndex0))),
% 134.58/85.23 inference(transitivity,[status(thm)],[958, 956])).
% 134.58/85.23 tff(960,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v84(constB181, bitIndex0)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.23 tff(961,plain,
% 134.58/85.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB182, bitIndex0)),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[960, 959])).
% 134.58/85.23 tff(962,plain,
% 134.58/85.23 (~v84(constB181, bitIndex0)),
% 134.58/85.23 inference(unit_resolution,[status(thm)],[961, 777, 795, 531, 525, 955])).
% 134.58/85.23 tff(963,plain,
% 134.58/85.23 (^[VarCurr: $i] : refl((v112(VarCurr) | (~v113(VarCurr))) <=> (v112(VarCurr) | (~v113(VarCurr))))),
% 134.58/85.23 inference(bind,[status(th)],[])).
% 134.58/85.23 tff(964,plain,
% 134.58/85.23 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 134.58/85.23 inference(quant_intro,[status(thm)],[963])).
% 134.58/85.23 tff(965,plain,
% 134.58/85.23 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(966,axiom,(![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_19_1_1_2')).
% 134.58/85.23 tff(967,plain,
% 134.58/85.23 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[966, 965])).
% 134.58/85.23 tff(968,plain,(
% 134.58/85.23 ![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 134.58/85.23 inference(skolemize,[status(sab)],[967])).
% 134.58/85.23 tff(969,plain,
% 134.58/85.23 (![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))),
% 134.58/85.23 inference(modus_ponens,[status(thm)],[968, 964])).
% 134.58/85.23 tff(970,plain,
% 134.58/85.23 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB181) | (~v113(constB181)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB181) | (~v113(constB181)))),
% 134.58/85.23 inference(rewrite,[status(thm)],[])).
% 134.58/85.23 tff(971,plain,
% 134.58/85.23 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB181) | (~v113(constB181)))),
% 134.58/85.23 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(972,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB181) | (~v113(constB181))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[971, 970])).
% 134.58/85.24 tff(973,plain,
% 134.58/85.24 (~v113(constB181)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[972, 969, 706])).
% 134.58/85.24 tff(974,plain,
% 134.58/85.24 (^[VarCurr: $i] : refl((v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(975,plain,
% 134.58/85.24 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[974])).
% 134.58/85.24 tff(976,plain,
% 134.58/85.24 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(977,plain,
% 134.58/85.24 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ((v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)))), rewrite(((v113(VarCurr) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))), ((((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(978,plain,
% 134.58/85.24 (![VarCurr: $i] : (((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[977])).
% 134.58/85.24 tff(979,axiom,(![VarCurr: $i] : (((v113(VarCurr) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_1')).
% 134.58/85.24 tff(980,plain,
% 134.58/85.24 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[979, 978])).
% 134.58/85.24 tff(981,plain,
% 134.58/85.24 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[980, 976])).
% 134.58/85.24 tff(982,plain,(
% 134.58/85.24 ![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 134.58/85.24 inference(skolemize,[status(sab)],[981])).
% 134.58/85.24 tff(983,plain,
% 134.58/85.24 (![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[982, 975])).
% 134.58/85.24 tff(984,plain,
% 134.58/85.24 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(985,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))),
% 134.58/85.24 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(986,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[985, 984])).
% 134.58/85.24 tff(987,plain,
% 134.58/85.24 (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[986, 983, 973])).
% 134.58/85.24 tff(988,plain,
% 134.58/85.24 ($false),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[987, 962, 954, 953])).
% 134.58/85.24 tff(989,plain,(v84(constB182, bitIndex2) | v94(constB182) | v84(constB182, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.24 tff(990,plain,
% 134.58/85.24 (v84(constB182, bitIndex2)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[989, 828, 525])).
% 134.58/85.24 tff(991,plain,
% 134.58/85.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB182, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB182, bitIndex2)))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(992,plain,
% 134.58/85.24 (((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB182, bitIndex2)) | v84(constB181, bitIndex2)) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB182, bitIndex2)))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(993,plain,
% 134.58/85.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB182, bitIndex2)) | v84(constB181, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB182, bitIndex2))))),
% 134.58/85.24 inference(monotonicity,[status(thm)],[992])).
% 134.58/85.24 tff(994,plain,
% 134.58/85.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB182, bitIndex2)) | v84(constB181, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB182, bitIndex2)))),
% 134.58/85.24 inference(transitivity,[status(thm)],[993, 991])).
% 134.58/85.24 tff(995,plain,
% 134.58/85.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | (~v84(constB182, bitIndex2)) | v84(constB181, bitIndex2))),
% 134.58/85.24 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(996,plain,
% 134.58/85.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB182, bitIndex2))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[995, 994])).
% 134.58/85.24 tff(997,plain,
% 134.58/85.24 (v84(constB181, bitIndex2)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[996, 805, 767, 531, 525, 990])).
% 134.58/85.24 tff(998,plain,
% 134.58/85.24 (^[VarCurr: $i] : refl((v108(VarCurr) | (~v118(VarCurr))) <=> (v108(VarCurr) | (~v118(VarCurr))))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(999,plain,
% 134.58/85.24 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[998])).
% 134.58/85.24 tff(1000,plain,
% 134.58/85.24 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1001,axiom,(![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_23_1_1')).
% 134.58/85.24 tff(1002,plain,
% 134.58/85.24 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 134.58/85.24 tff(1003,plain,(
% 134.58/85.24 ![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 134.58/85.24 inference(skolemize,[status(sab)],[1002])).
% 134.58/85.24 tff(1004,plain,
% 134.58/85.24 (![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1003, 999])).
% 134.58/85.24 tff(1005,plain,
% 134.58/85.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB181) | (~v118(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB181) | (~v118(constB181)))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1006,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB181) | (~v118(constB181)))),
% 134.58/85.24 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(1007,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB181) | (~v118(constB181))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 134.58/85.24 tff(1008,plain,
% 134.58/85.24 (~v118(constB181)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1007, 1004, 662])).
% 134.58/85.24 tff(1009,plain,
% 134.58/85.24 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(1010,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[1009])).
% 134.58/85.24 tff(1011,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1012,plain,
% 134.58/85.24 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))), ((((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> (((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) | v84(VarCurr, bitIndex1)))), rewrite((((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr)) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))), ((((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(1013,plain,
% 134.58/85.24 (![VarCurr: $i] : (((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[1012])).
% 134.58/85.24 tff(1014,axiom,(![VarCurr: $i] : (((v118(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_1')).
% 134.58/85.24 tff(1015,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 134.58/85.24 tff(1016,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1015, 1011])).
% 134.58/85.24 tff(1017,plain,(
% 134.58/85.24 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 134.58/85.24 inference(skolemize,[status(sab)],[1016])).
% 134.58/85.24 tff(1018,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1017, 1010])).
% 134.58/85.24 tff(1019,plain,
% 134.58/85.24 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v118(constB181) | (~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v118(constB181) | (~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1020,plain,
% 134.58/85.24 (((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v118(constB181)) <=> (v118(constB181) | (~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1021,plain,
% 134.58/85.24 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v118(constB181))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v118(constB181) | (~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1)))),
% 134.58/85.24 inference(monotonicity,[status(thm)],[1020])).
% 134.58/85.24 tff(1022,plain,
% 134.58/85.24 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v118(constB181))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v118(constB181) | (~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1))),
% 134.58/85.24 inference(transitivity,[status(thm)],[1021, 1019])).
% 134.58/85.24 tff(1023,plain,
% 134.58/85.24 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v118(constB181))),
% 134.58/85.24 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(1024,plain,
% 134.58/85.24 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v118(constB181) | (~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1)),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1023, 1022])).
% 134.58/85.24 tff(1025,plain,
% 134.58/85.24 ((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1024, 1018, 1008])).
% 134.58/85.24 tff(1026,plain,
% 134.58/85.24 (~v84(constB181, bitIndex0)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1025, 997, 953])).
% 134.58/85.24 tff(1027,plain,
% 134.58/85.24 (^[VarCurr: $i] : refl((v109(VarCurr) | (~v172(VarCurr))) <=> (v109(VarCurr) | (~v172(VarCurr))))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(1028,plain,
% 134.58/85.24 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[1027])).
% 134.58/85.24 tff(1029,plain,
% 134.58/85.24 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1030,axiom,(![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_22_1_1_1')).
% 134.58/85.24 tff(1031,plain,
% 134.58/85.24 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 134.58/85.24 tff(1032,plain,(
% 134.58/85.24 ![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 134.58/85.24 inference(skolemize,[status(sab)],[1031])).
% 134.58/85.24 tff(1033,plain,
% 134.58/85.24 (![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1032, 1028])).
% 134.58/85.24 tff(1034,plain,
% 134.58/85.24 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB181) | (~v172(constB181)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB181) | (~v172(constB181)))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1035,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB181) | (~v172(constB181)))),
% 134.58/85.24 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(1036,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB181) | (~v172(constB181))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1035, 1034])).
% 134.58/85.24 tff(1037,plain,
% 134.58/85.24 (~v172(constB181)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1036, 1033, 673])).
% 134.58/85.24 tff(1038,plain,
% 134.58/85.24 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(1039,plain,
% 134.58/85.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[1038])).
% 134.58/85.24 tff(1040,plain,
% 134.58/85.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1041,plain,
% 134.58/85.24 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) <=> (v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))), ((((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite(((v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))), ((((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(1042,plain,
% 134.58/85.24 (![VarCurr: $i] : (((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[1041])).
% 134.58/85.24 tff(1043,axiom,(![VarCurr: $i] : (((v172(VarCurr) | (~v84(VarCurr, bitIndex2))) | v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_1')).
% 134.58/85.24 tff(1044,plain,
% 134.58/85.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1043, 1042])).
% 134.58/85.24 tff(1045,plain,
% 134.58/85.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1044, 1040])).
% 134.58/85.24 tff(1046,plain,(
% 134.58/85.24 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 134.58/85.24 inference(skolemize,[status(sab)],[1045])).
% 134.58/85.24 tff(1047,plain,
% 134.58/85.24 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1046, 1039])).
% 134.58/85.24 tff(1048,plain,
% 134.58/85.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | ((~v84(constB181, bitIndex2)) | v172(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (~v84(constB181, bitIndex2)) | v172(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1049,plain,
% 134.58/85.24 ((v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v172(constB181)) <=> ((~v84(constB181, bitIndex2)) | v172(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1050,plain,
% 134.58/85.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v172(constB181))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | ((~v84(constB181, bitIndex2)) | v172(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1)))),
% 134.58/85.24 inference(monotonicity,[status(thm)],[1049])).
% 134.58/85.24 tff(1051,plain,
% 134.58/85.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v172(constB181))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (~v84(constB181, bitIndex2)) | v172(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1))),
% 134.58/85.24 inference(transitivity,[status(thm)],[1050, 1048])).
% 134.58/85.24 tff(1052,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)) | v172(constB181))),
% 134.58/85.24 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(1053,plain,
% 134.58/85.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (~v84(constB181, bitIndex2)) | v172(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1)),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 134.58/85.24 tff(1054,plain,
% 134.58/85.24 ((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1053, 1047, 1037])).
% 134.58/85.24 tff(1055,plain,
% 134.58/85.24 ($false),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1054, 1026, 997, 953])).
% 134.58/85.24 tff(1056,plain,(v84(constB182, bitIndex1) | v94(constB182)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.24 tff(1057,plain,
% 134.58/85.24 (v84(constB182, bitIndex1)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1056, 525])).
% 134.58/85.24 tff(1058,plain,
% 134.58/85.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB182, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB182, bitIndex1)))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1059,plain,
% 134.58/85.24 (((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB182, bitIndex1)) | v84(constB181, bitIndex1)) <=> ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB182, bitIndex1)))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1060,plain,
% 134.58/85.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB182, bitIndex1)) | v84(constB181, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB182, bitIndex1))))),
% 134.58/85.24 inference(monotonicity,[status(thm)],[1059])).
% 134.58/85.24 tff(1061,plain,
% 134.58/85.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB182, bitIndex1)) | v84(constB181, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB182, bitIndex1)))),
% 134.58/85.24 inference(transitivity,[status(thm)],[1060, 1058])).
% 134.58/85.24 tff(1062,plain,
% 134.58/85.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | (~v84(constB182, bitIndex1)) | v84(constB181, bitIndex1))),
% 134.58/85.24 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(1063,plain,
% 134.58/85.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB181, constB182)) | v94(constB182) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB182, bitIndex1))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 134.58/85.24 tff(1064,plain,
% 134.58/85.24 (v84(constB181, bitIndex1)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1063, 805, 823, 531, 525, 1057])).
% 134.58/85.24 tff(1065,assumption,(~v84(constB181, bitIndex2)), introduced(assumption)).
% 134.58/85.24 tff(1066,assumption,(~v116(constB181)), introduced(assumption)).
% 134.58/85.24 tff(1067,plain,
% 134.58/85.24 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(1068,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[1067])).
% 134.58/85.24 tff(1069,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1070,plain,
% 134.58/85.24 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr))), ((((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> (((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr)) | v84(VarCurr, bitIndex2)))), rewrite((((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v116(VarCurr)) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))), ((((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))))),
% 134.58/85.24 inference(bind,[status(th)],[])).
% 134.58/85.24 tff(1071,plain,
% 134.58/85.24 (![VarCurr: $i] : (((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2)) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 134.58/85.24 inference(quant_intro,[status(thm)],[1070])).
% 134.58/85.24 tff(1072,axiom,(![VarCurr: $i] : (((v116(VarCurr) | (~v84(VarCurr, bitIndex1))) | (~v84(VarCurr, bitIndex0))) | v84(VarCurr, bitIndex2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_1')).
% 134.58/85.24 tff(1073,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 134.58/85.24 tff(1074,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1073, 1069])).
% 134.58/85.24 tff(1075,plain,(
% 134.58/85.24 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 134.58/85.24 inference(skolemize,[status(sab)],[1074])).
% 134.58/85.24 tff(1076,plain,
% 134.58/85.24 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1075, 1068])).
% 134.58/85.24 tff(1077,plain,
% 134.58/85.24 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex1)) | v116(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex1)) | v116(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex2))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1078,plain,
% 134.58/85.24 (((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181)) <=> ((~v84(constB181, bitIndex1)) | v116(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex2))),
% 134.58/85.24 inference(rewrite,[status(thm)],[])).
% 134.58/85.24 tff(1079,plain,
% 134.58/85.24 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex1)) | v116(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex2)))),
% 134.58/85.24 inference(monotonicity,[status(thm)],[1078])).
% 134.58/85.24 tff(1080,plain,
% 134.58/85.24 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex1)) | v116(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex2))),
% 134.58/85.24 inference(transitivity,[status(thm)],[1079, 1077])).
% 134.58/85.24 tff(1081,plain,
% 134.58/85.24 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v116(constB181))),
% 134.58/85.24 inference(quant_inst,[status(thm)],[])).
% 134.58/85.24 tff(1082,plain,
% 134.58/85.24 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB181, bitIndex1)) | v116(constB181) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex2)),
% 134.58/85.24 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 134.58/85.24 tff(1083,plain,
% 134.58/85.24 ((~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex2)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1082, 1076, 1066])).
% 134.58/85.24 tff(1084,plain,
% 134.58/85.24 (~v84(constB181, bitIndex0)),
% 134.58/85.24 inference(unit_resolution,[status(thm)],[1083, 1065, 950])).
% 134.58/85.24 tff(1085,assumption,(~v115(constB181)), introduced(assumption)).
% 134.58/85.24 tff(1086,plain,
% 134.58/85.24 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1087,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1086])).
% 134.58/85.25 tff(1088,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1089,plain,
% 134.58/85.25 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) <=> ((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))), ((((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite((((~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))), ((((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1090,plain,
% 134.58/85.25 (![VarCurr: $i] : (((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1089])).
% 134.58/85.25 tff(1091,axiom,(![VarCurr: $i] : (((v115(VarCurr) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex2)) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_1')).
% 134.58/85.25 tff(1092,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 134.58/85.25 tff(1093,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1092, 1088])).
% 134.58/85.25 tff(1094,plain,(
% 134.58/85.25 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 134.58/85.25 inference(skolemize,[status(sab)],[1093])).
% 134.58/85.25 tff(1095,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1094, 1087])).
% 134.58/85.25 tff(1096,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | ((~v84(constB181, bitIndex1)) | v115(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (~v84(constB181, bitIndex1)) | v115(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex2))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1097,plain,
% 134.58/85.25 ((v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v115(constB181)) <=> ((~v84(constB181, bitIndex1)) | v115(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex2))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1098,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v115(constB181))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | ((~v84(constB181, bitIndex1)) | v115(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex2)))),
% 134.58/85.25 inference(monotonicity,[status(thm)],[1097])).
% 134.58/85.25 tff(1099,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v115(constB181))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (~v84(constB181, bitIndex1)) | v115(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex2))),
% 134.58/85.25 inference(transitivity,[status(thm)],[1098, 1096])).
% 134.58/85.25 tff(1100,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | v115(constB181))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1101,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (~v84(constB181, bitIndex1)) | v115(constB181) | v84(constB181, bitIndex0) | v84(constB181, bitIndex2)),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1100, 1099])).
% 134.58/85.25 tff(1102,plain,
% 134.58/85.25 ((~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0) | v84(constB181, bitIndex2)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1101, 1095, 1085])).
% 134.58/85.25 tff(1103,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1102, 1084, 1065, 950])).
% 134.58/85.25 tff(1104,plain,(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v115(constB181) | v116(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1105,plain,
% 134.58/85.25 (v84(constB181, bitIndex2)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1104, 1064, 949, 938])).
% 134.58/85.25 tff(1106,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[852, 777, 767, 531, 525, 846, 1105])).
% 134.58/85.25 tff(1107,plain,(v84(constB182, bitIndex2) | v94(constB182)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1108,plain,
% 134.58/85.25 (v84(constB182, bitIndex2)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1107, 525])).
% 134.58/85.25 tff(1109,plain,
% 134.58/85.25 (v84(constB181, bitIndex2)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[996, 805, 767, 531, 525, 1108])).
% 134.58/85.25 tff(1110,plain,
% 134.58/85.25 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1111,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1110])).
% 134.58/85.25 tff(1112,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1113,plain,
% 134.58/85.25 (^[VarCurr: $i] : rewrite(((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1114,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1113])).
% 134.58/85.25 tff(1115,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_2')).
% 134.58/85.25 tff(1116,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1115, 1114])).
% 134.58/85.25 tff(1117,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1116, 1112])).
% 134.58/85.25 tff(1118,plain,(
% 134.58/85.25 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 134.58/85.25 inference(skolemize,[status(sab)],[1117])).
% 134.58/85.25 tff(1119,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1118, 1111])).
% 134.58/85.25 tff(1120,plain,
% 134.58/85.25 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB181)) | (~v84(constB181, bitIndex2)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1121,plain,
% 134.58/85.25 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex2)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1122,plain,
% 134.58/85.25 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB181)) | (~v84(constB181, bitIndex2))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 134.58/85.25 tff(1123,plain,
% 134.58/85.25 (~v113(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1122, 1119, 1109])).
% 134.58/85.25 tff(1124,plain,
% 134.58/85.25 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1125,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1124])).
% 134.58/85.25 tff(1126,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1127,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_4')).
% 134.58/85.25 tff(1128,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 134.58/85.25 tff(1129,plain,(
% 134.58/85.25 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 134.58/85.25 inference(skolemize,[status(sab)],[1128])).
% 134.58/85.25 tff(1130,plain,
% 134.58/85.25 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1129, 1125])).
% 134.58/85.25 tff(1131,plain,
% 134.58/85.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v116(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB181, bitIndex2)) | (~v116(constB181)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1132,plain,
% 134.58/85.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v116(constB181)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1133,plain,
% 134.58/85.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB181, bitIndex2)) | (~v116(constB181))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 134.58/85.25 tff(1134,plain,
% 134.58/85.25 (~v116(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1133, 1130, 1109])).
% 134.58/85.25 tff(1135,assumption,(v118(constB181)), introduced(assumption)).
% 134.58/85.25 tff(1136,plain,
% 134.58/85.25 (^[B: $i, VarCurr: $i] : refl(((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B))) <=> ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1137,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B))) <=> ![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1136])).
% 134.58/85.25 tff(1138,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B))) <=> ![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1139,plain,
% 134.58/85.25 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, B) | (~b011(B))) <=> (v124(VarCurr, B) | (~b011(B)))), (((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) <=> ((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))))), rewrite(((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b011(B)))), (((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b011(B))))), ((((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) | (~v118(VarCurr))) <=> (((~less_3(B)) | v124(VarCurr, B) | (~b011(B))) | (~v118(VarCurr))))), rewrite((((~less_3(B)) | v124(VarCurr, B) | (~b011(B))) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))), ((((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1140,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) | (~v118(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1139])).
% 134.58/85.25 tff(1141,axiom,(![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_1')).
% 134.58/85.25 tff(1142,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 134.58/85.25 tff(1143,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1142, 1138])).
% 134.58/85.25 tff(1144,plain,(
% 134.58/85.25 ![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(skolemize,[status(sab)],[1143])).
% 134.58/85.25 tff(1145,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1144, 1137])).
% 134.58/85.25 tff(1146,plain,
% 134.58/85.25 (b011(bitIndex0) <=> b011(bitIndex0)),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1147,axiom,(b011(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_9_1')).
% 134.58/85.25 tff(1148,plain,
% 134.58/85.25 (b011(bitIndex0)),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1147, 1146])).
% 134.58/85.25 tff(1149,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB181)) | v124(constB181, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB181)) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1150,plain,
% 134.58/85.25 (((~v118(constB181)) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB181)) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1151,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB181)) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB181)) | v124(constB181, bitIndex0)))),
% 134.58/85.25 inference(monotonicity,[status(thm)],[1150])).
% 134.58/85.25 tff(1152,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB181)) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB181)) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(transitivity,[status(thm)],[1151, 1149])).
% 134.58/85.25 tff(1153,plain,
% 134.58/85.25 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB181)) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b011(bitIndex0)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1154,plain,
% 134.58/85.25 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB181)) | v124(constB181, bitIndex0)),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1153, 1152])).
% 134.58/85.25 tff(1155,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1154, 1148, 1145, 795, 1135, 927])).
% 134.58/85.25 tff(1156,plain,((~v118(constB181)) | v124(constB181, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1157,plain,
% 134.58/85.25 (~v118(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1156, 927])).
% 134.58/85.25 tff(1158,plain,
% 134.58/85.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB181)) | (~v84(constB181, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB181)) | (~v84(constB181, bitIndex2)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1159,plain,
% 134.58/85.25 (((~v84(constB181, bitIndex2)) | (~v145(constB181))) <=> ((~v145(constB181)) | (~v84(constB181, bitIndex2)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1160,plain,
% 134.58/85.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v145(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB181)) | (~v84(constB181, bitIndex2))))),
% 134.58/85.25 inference(monotonicity,[status(thm)],[1159])).
% 134.58/85.25 tff(1161,plain,
% 134.58/85.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v145(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB181)) | (~v84(constB181, bitIndex2)))),
% 134.58/85.25 inference(transitivity,[status(thm)],[1160, 1158])).
% 134.58/85.25 tff(1162,plain,
% 134.58/85.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v145(constB181)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1163,plain,
% 134.58/85.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB181)) | (~v84(constB181, bitIndex2))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 134.58/85.25 tff(1164,plain,
% 134.58/85.25 (~v145(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1163, 725, 1109])).
% 134.58/85.25 tff(1165,assumption,(v26(constB181)), introduced(assumption)).
% 134.58/85.25 tff(1166,plain,
% 134.58/85.25 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1167,plain,
% 134.58/85.25 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1166])).
% 134.58/85.25 tff(1168,plain,
% 134.58/85.25 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1169,axiom,(![VarCurr: $i] : (~v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_1_1_1')).
% 134.58/85.25 tff(1170,plain,
% 134.58/85.25 (![VarCurr: $i] : (~v26(VarCurr))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 134.58/85.25 tff(1171,plain,(
% 134.58/85.25 ![VarCurr: $i] : (~v26(VarCurr))),
% 134.58/85.25 inference(skolemize,[status(sab)],[1170])).
% 134.58/85.25 tff(1172,plain,
% 134.58/85.25 (![VarCurr: $i] : (~v26(VarCurr))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1171, 1167])).
% 134.58/85.25 tff(1173,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1174,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1173, 1172, 1165])).
% 134.58/85.25 tff(1175,plain,(~v26(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1176,plain,
% 134.58/85.25 (v106(constB181) | (~v107(constB181))),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[650, 644, 1175])).
% 134.58/85.25 tff(1177,plain,
% 134.58/85.25 (~v107(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1176, 623])).
% 134.58/85.25 tff(1178,plain,
% 134.58/85.25 (~v108(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[661, 658, 1177])).
% 134.58/85.25 tff(1179,plain,
% 134.58/85.25 (~v109(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[672, 669, 1178])).
% 134.58/85.25 tff(1180,plain,
% 134.58/85.25 (~v172(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1036, 1033, 1179])).
% 134.58/85.25 tff(1181,assumption,(~v172(constB181)), introduced(assumption)).
% 134.58/85.25 tff(1182,assumption,(~v113(constB181)), introduced(assumption)).
% 134.58/85.25 tff(1183,assumption,(~v118(constB181)), introduced(assumption)).
% 134.58/85.25 tff(1184,plain,
% 134.58/85.25 (^[B: $i, VarCurr: $i] : refl(((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B))) <=> ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1185,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B))) <=> ![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1184])).
% 134.58/85.25 tff(1186,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B))) <=> ![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1187,plain,
% 134.58/85.25 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, B) | (~b011(B))) <=> (v124(VarCurr, B) | (~b011(B)))), (((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) <=> ((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))))), rewrite(((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b011(B)))), (((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b011(B))))), ((((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) | (~v115(VarCurr))) <=> (((~less_3(B)) | v124(VarCurr, B) | (~b011(B))) | (~v115(VarCurr))))), rewrite((((~less_3(B)) | v124(VarCurr, B) | (~b011(B))) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))), ((((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1188,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) | (~v115(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1187])).
% 134.58/85.25 tff(1189,axiom,(![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b011(B))) | (~less_3(B))) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_1')).
% 134.58/85.25 tff(1190,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 134.58/85.25 tff(1191,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1190, 1186])).
% 134.58/85.25 tff(1192,plain,(
% 134.58/85.25 ![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(skolemize,[status(sab)],[1191])).
% 134.58/85.25 tff(1193,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1192, 1185])).
% 134.58/85.25 tff(1194,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB181)) | v124(constB181, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB181)) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1195,plain,
% 134.58/85.25 (((~v115(constB181)) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB181)) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1196,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB181)) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB181)) | v124(constB181, bitIndex0)))),
% 134.58/85.25 inference(monotonicity,[status(thm)],[1195])).
% 134.58/85.25 tff(1197,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB181)) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB181)) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(transitivity,[status(thm)],[1196, 1194])).
% 134.58/85.25 tff(1198,plain,
% 134.58/85.25 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB181)) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b011(bitIndex0)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1199,plain,
% 134.58/85.25 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB181)) | v124(constB181, bitIndex0)),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 134.58/85.25 tff(1200,plain,
% 134.58/85.25 (~v115(constB181)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1199, 1148, 1193, 795, 927])).
% 134.58/85.25 tff(1201,plain,
% 134.58/85.25 (^[B: $i, VarCurr: $i] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1202,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) <=> ![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1201])).
% 134.58/85.25 tff(1203,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) <=> ![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1204,plain,
% 134.58/85.25 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, B) | (~b001(B))) <=> (v124(VarCurr, B) | (~b001(B)))), (((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) <=> ((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))))), rewrite(((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b001(B)))), (((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b001(B))))), ((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) <=> (((~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v118(VarCurr)))), rewrite((((~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v118(VarCurr)) <=> (v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))), ((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) <=> (v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))))), (((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) <=> ((v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v172(VarCurr)))), rewrite(((v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))), (((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))))), ((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> ((v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v116(VarCurr)))), rewrite(((v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))), ((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))))), (((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> ((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v115(VarCurr)))), rewrite(((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))), (((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))))), ((((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> ((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v145(VarCurr)))), rewrite(((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))), ((((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))))), (((((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v113(VarCurr)))), rewrite(((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B))) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))), (((((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1205,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : ((((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1204])).
% 134.58/85.25 tff(1206,axiom,(![B: $i, VarCurr: $i] : ((((((((v124(VarCurr, B) | (~b001(B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_1')).
% 134.58/85.25 tff(1207,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1206, 1205])).
% 134.58/85.25 tff(1208,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1207, 1203])).
% 134.58/85.25 tff(1209,plain,(
% 134.58/85.25 ![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))),
% 134.58/85.25 inference(skolemize,[status(sab)],[1208])).
% 134.58/85.25 tff(1210,plain,
% 134.58/85.25 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1209, 1202])).
% 134.58/85.25 tff(1211,plain,
% 134.58/85.25 (b001(bitIndex0) <=> b001(bitIndex0)),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1212,axiom,(b001(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_3_1')).
% 134.58/85.25 tff(1213,plain,
% 134.58/85.25 (b001(bitIndex0)),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 134.58/85.25 tff(1214,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB181) | (~b001(bitIndex0)) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | v124(constB181, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB181) | (~b001(bitIndex0)) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1215,plain,
% 134.58/85.25 ((v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB181) | (~b001(bitIndex0)) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1216,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB181) | (~b001(bitIndex0)) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | v124(constB181, bitIndex0)))),
% 134.58/85.25 inference(monotonicity,[status(thm)],[1215])).
% 134.58/85.25 tff(1217,plain,
% 134.58/85.25 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB181) | (~b001(bitIndex0)) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | v124(constB181, bitIndex0))),
% 134.58/85.25 inference(transitivity,[status(thm)],[1216, 1214])).
% 134.58/85.25 tff(1218,plain,
% 134.58/85.25 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~b001(bitIndex0)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1219,plain,
% 134.58/85.25 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB181) | (~b001(bitIndex0)) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | v124(constB181, bitIndex0)),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1218, 1217])).
% 134.58/85.25 tff(1220,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1219, 1213, 1210, 795, 855, 1085, 1066, 1183, 1182, 1181, 927])).
% 134.58/85.25 tff(1221,plain,(v124(constB181, bitIndex0) | v145(constB181) | v115(constB181) | v116(constB181) | v118(constB181) | v113(constB181) | v172(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1222,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1221, 1200, 1183, 1182, 927, 855, 1066, 1181])).
% 134.58/85.25 tff(1223,plain,(v118(constB181) | v113(constB181) | v124(constB181, bitIndex0) | v145(constB181) | v116(constB181) | v172(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1224,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1223, 1180, 1164, 927, 1157, 1134, 1123])).
% 134.58/85.25 tff(1225,plain,(v94(constB182) | v124(constB181, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1226,plain,
% 134.58/85.25 (v94(constB182)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1225, 927])).
% 134.58/85.25 tff(1227,assumption,(~v107(constB183)), introduced(assumption)).
% 134.58/85.25 tff(1228,assumption,(v108(constB183)), introduced(assumption)).
% 134.58/85.25 tff(1229,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB183) | (~v108(constB183)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB183) | (~v108(constB183)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1230,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB183) | (~v108(constB183)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1231,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB183) | (~v108(constB183))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 134.58/85.25 tff(1232,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1231, 658, 1227, 1228])).
% 134.58/85.25 tff(1233,plain,(v107(constB183) | (~v108(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1234,plain,
% 134.58/85.25 (~v108(constB183)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1233, 1227])).
% 134.58/85.25 tff(1235,assumption,(~v108(constB183)), introduced(assumption)).
% 134.58/85.25 tff(1236,assumption,(v109(constB183)), introduced(assumption)).
% 134.58/85.25 tff(1237,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB183) | (~v109(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB183) | (~v109(constB183)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1238,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB183) | (~v109(constB183)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1239,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB183) | (~v109(constB183))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 134.58/85.25 tff(1240,plain,
% 134.58/85.25 ($false),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1239, 669, 1236, 1235])).
% 134.58/85.25 tff(1241,plain,(v108(constB183) | (~v109(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.58/85.25 tff(1242,plain,
% 134.58/85.25 (~v109(constB183)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1241, 1234])).
% 134.58/85.25 tff(1243,assumption,(~v109(constB183)), introduced(assumption)).
% 134.58/85.25 tff(1244,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB183) | (~v110(constB183)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB183) | (~v110(constB183)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1245,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB183) | (~v110(constB183)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1246,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB183) | (~v110(constB183))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 134.58/85.25 tff(1247,plain,
% 134.58/85.25 (~v110(constB183)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1246, 680, 1243])).
% 134.58/85.25 tff(1248,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB183) | (~v111(constB183)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB183) | (~v111(constB183)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1249,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB183) | (~v111(constB183)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1250,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB183) | (~v111(constB183))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 134.58/85.25 tff(1251,plain,
% 134.58/85.25 (~v111(constB183)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1250, 691, 1247])).
% 134.58/85.25 tff(1252,assumption,(~v84(constB183, bitIndex2)), introduced(assumption)).
% 134.58/85.25 tff(1253,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB183) | (~v112(constB183)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB183) | (~v112(constB183)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1254,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB183) | (~v112(constB183)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1255,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB183) | (~v112(constB183))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 134.58/85.25 tff(1256,plain,
% 134.58/85.25 (~v112(constB183)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1255, 702, 1251])).
% 134.58/85.25 tff(1257,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB183) | (~v113(constB183)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB183) | (~v113(constB183)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1258,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB183) | (~v113(constB183)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1259,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB183) | (~v113(constB183))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 134.58/85.25 tff(1260,plain,
% 134.58/85.25 (~v113(constB183)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1259, 969, 1256])).
% 134.58/85.25 tff(1261,assumption,(~v84(constB183, bitIndex1)), introduced(assumption)).
% 134.58/85.25 tff(1262,plain,
% 134.58/85.25 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> (v84(VarCurr, bitIndex1) | (~v116(VarCurr))))),
% 134.58/85.25 inference(bind,[status(th)],[])).
% 134.58/85.25 tff(1263,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 134.58/85.25 inference(quant_intro,[status(thm)],[1262])).
% 134.58/85.25 tff(1264,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1265,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_2')).
% 134.58/85.25 tff(1266,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 134.58/85.25 tff(1267,plain,(
% 134.58/85.25 ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 134.58/85.25 inference(skolemize,[status(sab)],[1266])).
% 134.58/85.25 tff(1268,plain,
% 134.58/85.25 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1267, 1263])).
% 134.58/85.25 tff(1269,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB183, bitIndex1) | (~v116(constB183)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB183, bitIndex1) | (~v116(constB183)))),
% 134.58/85.25 inference(rewrite,[status(thm)],[])).
% 134.58/85.25 tff(1270,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB183, bitIndex1) | (~v116(constB183)))),
% 134.58/85.25 inference(quant_inst,[status(thm)],[])).
% 134.58/85.25 tff(1271,plain,
% 134.58/85.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB183, bitIndex1) | (~v116(constB183))),
% 134.58/85.25 inference(modus_ponens,[status(thm)],[1270, 1269])).
% 134.58/85.25 tff(1272,plain,
% 134.58/85.25 (~v116(constB183)),
% 134.58/85.25 inference(unit_resolution,[status(thm)],[1271, 1268, 1261])).
% 134.58/85.25 tff(1273,plain,
% 134.58/85.25 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB183) | (~v145(constB183)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB183) | (~v145(constB183)))),
% 134.58/85.26 inference(rewrite,[status(thm)],[])).
% 134.58/85.26 tff(1274,plain,
% 134.58/85.26 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB183) | (~v145(constB183)))),
% 134.58/85.26 inference(quant_inst,[status(thm)],[])).
% 134.58/85.26 tff(1275,plain,
% 134.58/85.26 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB183) | (~v145(constB183))),
% 134.58/85.26 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 134.58/85.26 tff(1276,plain,
% 134.58/85.26 (~v145(constB183)),
% 134.58/85.26 inference(unit_resolution,[status(thm)],[1275, 713, 1256])).
% 134.58/85.26 tff(1277,assumption,(~v116(constB183)), introduced(assumption)).
% 134.58/85.26 tff(1278,assumption,(v84(constB183, bitIndex0)), introduced(assumption)).
% 134.58/85.26 tff(1279,assumption,(~v145(constB183)), introduced(assumption)).
% 134.58/85.26 tff(1280,plain,
% 134.58/85.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v145(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v145(constB183))),
% 134.58/85.26 inference(rewrite,[status(thm)],[])).
% 134.58/85.26 tff(1281,plain,
% 134.58/85.26 (((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183)) <=> (v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v145(constB183))),
% 134.58/85.26 inference(rewrite,[status(thm)],[])).
% 134.58/85.26 tff(1282,plain,
% 134.58/85.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v145(constB183)))),
% 134.58/85.26 inference(monotonicity,[status(thm)],[1281])).
% 134.58/85.26 tff(1283,plain,
% 134.58/85.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v145(constB183))),
% 134.58/85.26 inference(transitivity,[status(thm)],[1282, 1280])).
% 134.58/85.26 tff(1284,plain,
% 134.58/85.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | v145(constB183))),
% 134.58/85.26 inference(quant_inst,[status(thm)],[])).
% 134.58/85.26 tff(1285,plain,
% 134.58/85.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v145(constB183)),
% 134.58/85.26 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 134.58/85.26 tff(1286,plain,
% 134.58/85.26 (v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0))),
% 134.58/85.26 inference(unit_resolution,[status(thm)],[1285, 865, 1279])).
% 134.58/85.26 tff(1287,plain,
% 134.58/85.26 (v84(constB183, bitIndex1)),
% 134.58/85.26 inference(unit_resolution,[status(thm)],[1286, 1252, 1278])).
% 134.58/85.26 tff(1288,plain,
% 134.58/85.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v116(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v116(constB183))),
% 134.58/85.26 inference(rewrite,[status(thm)],[])).
% 134.58/85.26 tff(1289,plain,
% 134.58/85.26 (((~v84(constB183, bitIndex0)) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v116(constB183)) <=> ((~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v116(constB183))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1290,plain,
% 134.62/85.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB183, bitIndex0)) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v116(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v116(constB183)))),
% 134.62/85.26 inference(monotonicity,[status(thm)],[1289])).
% 134.62/85.26 tff(1291,plain,
% 134.62/85.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB183, bitIndex0)) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v116(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v116(constB183))),
% 134.62/85.26 inference(transitivity,[status(thm)],[1290, 1288])).
% 134.62/85.26 tff(1292,plain,
% 134.62/85.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB183, bitIndex0)) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v116(constB183))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1293,plain,
% 134.62/85.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)) | v116(constB183)),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1292, 1291])).
% 134.62/85.26 tff(1294,plain,
% 134.62/85.26 ((~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v116(constB183)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1293, 1076, 1278])).
% 134.62/85.26 tff(1295,plain,
% 134.62/85.26 ($false),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1294, 1287, 1252, 1277])).
% 134.62/85.26 tff(1296,plain,(v84(constB183, bitIndex2) | v116(constB183) | (~v84(constB183, bitIndex0)) | v145(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.26 tff(1297,plain,
% 134.62/85.26 (~v84(constB183, bitIndex0)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1296, 1276, 1272, 1252])).
% 134.62/85.26 tff(1298,plain,
% 134.62/85.26 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB183) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB183) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1299,plain,
% 134.62/85.26 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB183) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1300,plain,
% 134.62/85.26 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB183) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | v84(constB183, bitIndex2)),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 134.62/85.26 tff(1301,plain,
% 134.62/85.26 (v113(constB183) | v84(constB183, bitIndex0)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1300, 983, 1252, 1261])).
% 134.62/85.26 tff(1302,plain,
% 134.62/85.26 ($false),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1301, 1297, 1260])).
% 134.62/85.26 tff(1303,plain,(v109(constB183) | v84(constB183, bitIndex2) | v84(constB183, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.26 tff(1304,plain,
% 134.62/85.26 (v84(constB183, bitIndex1)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1303, 1243, 1252])).
% 134.62/85.26 tff(1305,assumption,(v84(constB183, bitIndex1)), introduced(assumption)).
% 134.62/85.26 tff(1306,plain,
% 134.62/85.26 ($false),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[819, 816, 718, 1305])).
% 134.62/85.26 tff(1307,plain,((~v145(constB183)) | (~v84(constB183, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.26 tff(1308,plain,
% 134.62/85.26 (~v145(constB183)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1307, 1304])).
% 134.62/85.26 tff(1309,plain,
% 134.62/85.26 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB183) | (~v116(constB183)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB183) | (~v116(constB183)))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1310,plain,
% 134.62/85.26 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB183) | (~v116(constB183)))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1311,plain,
% 134.62/85.26 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB183) | (~v116(constB183))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1310, 1309])).
% 134.62/85.26 tff(1312,plain,
% 134.62/85.26 (~v116(constB183)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1311, 934, 1247])).
% 134.62/85.26 tff(1313,plain,
% 134.62/85.26 (~v84(constB183, bitIndex0)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1296, 1312, 1308, 1252])).
% 134.62/85.26 tff(1314,plain,
% 134.62/85.26 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v115(constB183))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v115(constB183))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1315,plain,
% 134.62/85.26 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v115(constB183))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1316,plain,
% 134.62/85.26 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | v115(constB183)),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1315, 1314])).
% 134.62/85.26 tff(1317,plain,
% 134.62/85.26 (v84(constB183, bitIndex0) | v115(constB183)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1316, 1095, 1252, 1304])).
% 134.62/85.26 tff(1318,plain,
% 134.62/85.26 (v115(constB183)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1317, 1313])).
% 134.62/85.26 tff(1319,plain,
% 134.62/85.26 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB183) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB183) | (~v115(constB183)))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1320,plain,
% 134.62/85.26 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB183) | (~v115(constB183)))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1321,plain,
% 134.62/85.26 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB183) | (~v115(constB183))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 134.62/85.26 tff(1322,plain,
% 134.62/85.26 ($false),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1321, 945, 1318, 1251])).
% 134.62/85.26 tff(1323,plain,(v109(constB183) | v84(constB183, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.26 tff(1324,plain,
% 134.62/85.26 (v84(constB183, bitIndex2)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1323, 1242])).
% 134.62/85.26 tff(1325,assumption,(v84(constB183, bitIndex2)), introduced(assumption)).
% 134.62/85.26 tff(1326,plain,
% 134.62/85.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB182, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB182, bitIndex2))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1327,plain,
% 134.62/85.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB182, bitIndex2))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1328,plain,
% 134.62/85.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB182, bitIndex2)),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 134.62/85.26 tff(1329,plain,
% 134.62/85.26 ($false),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1328, 805, 767, 732, 764, 846, 1325])).
% 134.62/85.26 tff(1330,plain,((~v84(constB183, bitIndex2)) | v84(constB182, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.26 tff(1331,plain,
% 134.62/85.26 (v84(constB182, bitIndex2)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1330, 1324])).
% 134.62/85.26 tff(1332,assumption,(~v123(constB182, bitIndex2)), introduced(assumption)).
% 134.62/85.26 tff(1333,assumption,(v84(constB182, bitIndex2)), introduced(assumption)).
% 134.62/85.26 tff(1334,assumption,(v94(constB182)), introduced(assumption)).
% 134.62/85.26 tff(1335,plain,
% 134.62/85.26 (^[B: $i, VarNext: $i] : refl(((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B)) <=> ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B)))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1336,plain,
% 134.62/85.26 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B)) <=> ![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1335])).
% 134.62/85.26 tff(1337,plain,
% 134.62/85.26 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B)) <=> ![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1338,plain,
% 134.62/85.26 (^[B: $i, VarNext: $i] : trans(monotonicity(trans(monotonicity(rewrite((v123(VarNext, B) | (~v84(VarNext, B))) <=> ((~v84(VarNext, B)) | v123(VarNext, B))), (((v123(VarNext, B) | (~v84(VarNext, B))) | (~less_3(B))) <=> (((~v84(VarNext, B)) | v123(VarNext, B)) | (~less_3(B))))), rewrite((((~v84(VarNext, B)) | v123(VarNext, B)) | (~less_3(B))) <=> ((~less_3(B)) | (~v84(VarNext, B)) | v123(VarNext, B))), (((v123(VarNext, B) | (~v84(VarNext, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v84(VarNext, B)) | v123(VarNext, B)))), ((((v123(VarNext, B) | (~v84(VarNext, B))) | (~less_3(B))) | (~v94(VarNext))) <=> (((~less_3(B)) | (~v84(VarNext, B)) | v123(VarNext, B)) | (~v94(VarNext))))), rewrite((((~less_3(B)) | (~v84(VarNext, B)) | v123(VarNext, B)) | (~v94(VarNext))) <=> ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))), ((((v123(VarNext, B) | (~v84(VarNext, B))) | (~less_3(B))) | (~v94(VarNext))) <=> ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1339,plain,
% 134.62/85.26 (![B: $i, VarNext: $i] : (((v123(VarNext, B) | (~v84(VarNext, B))) | (~less_3(B))) | (~v94(VarNext))) <=> ![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1338])).
% 134.62/85.26 tff(1340,axiom,(![B: $i, VarNext: $i] : (((v123(VarNext, B) | (~v84(VarNext, B))) | (~less_3(B))) | (~v94(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_2')).
% 134.62/85.26 tff(1341,plain,
% 134.62/85.26 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 134.62/85.26 tff(1342,plain,
% 134.62/85.26 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1341, 1337])).
% 134.62/85.26 tff(1343,plain,(
% 134.62/85.26 ![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))),
% 134.62/85.26 inference(skolemize,[status(sab)],[1342])).
% 134.62/85.26 tff(1344,plain,
% 134.62/85.26 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1343, 1336])).
% 134.62/85.26 tff(1345,plain,
% 134.62/85.26 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB182)) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB182)) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1346,plain,
% 134.62/85.26 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB182)) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1347,plain,
% 134.62/85.26 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB182)) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2)),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1346, 1345])).
% 134.62/85.26 tff(1348,plain,
% 134.62/85.26 ($false),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1347, 1344, 767, 1334, 1333, 1332])).
% 134.62/85.26 tff(1349,plain,(v123(constB182, bitIndex2) | (~v94(constB182)) | (~v84(constB182, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.26 tff(1350,plain,
% 134.62/85.26 (v123(constB182, bitIndex2)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1349, 1331, 1226])).
% 134.62/85.26 tff(1351,assumption,(v123(constB182, bitIndex2)), introduced(assumption)).
% 134.62/85.26 tff(1352,assumption,(~v121(constB181, bitIndex2)), introduced(assumption)).
% 134.62/85.26 tff(1353,plain,
% 134.62/85.26 (^[B: $i, VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B)) <=> ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B)))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1354,plain,
% 134.62/85.26 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B)) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1353])).
% 134.62/85.26 tff(1355,plain,
% 134.62/85.26 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B)) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1356,plain,
% 134.62/85.26 (^[B: $i, VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v121(VarCurr, B) | (~v123(VarNext, B))) <=> ((~v123(VarNext, B)) | v121(VarCurr, B))), (((v121(VarCurr, B) | (~v123(VarNext, B))) | (~less_3(B))) <=> (((~v123(VarNext, B)) | v121(VarCurr, B)) | (~less_3(B))))), rewrite((((~v123(VarNext, B)) | v121(VarCurr, B)) | (~less_3(B))) <=> ((~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))), (((v121(VarCurr, B) | (~v123(VarNext, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B)))), ((((v121(VarCurr, B) | (~v123(VarNext, B))) | (~less_3(B))) | (~nextState(VarCurr, VarNext))) <=> (((~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B)) | (~nextState(VarCurr, VarNext))))), rewrite((((~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))), ((((v121(VarCurr, B) | (~v123(VarNext, B))) | (~less_3(B))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1357,plain,
% 134.62/85.26 (![B: $i, VarNext: $i, VarCurr: $i] : (((v121(VarCurr, B) | (~v123(VarNext, B))) | (~less_3(B))) | (~nextState(VarCurr, VarNext))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1356])).
% 134.62/85.26 tff(1358,axiom,(![B: $i, VarNext: $i, VarCurr: $i] : (((v121(VarCurr, B) | (~v123(VarNext, B))) | (~less_3(B))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_2')).
% 134.62/85.26 tff(1359,plain,
% 134.62/85.26 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 134.62/85.26 tff(1360,plain,
% 134.62/85.26 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1359, 1355])).
% 134.62/85.26 tff(1361,plain,(
% 134.62/85.26 ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))),
% 134.62/85.26 inference(skolemize,[status(sab)],[1360])).
% 134.62/85.26 tff(1362,plain,
% 134.62/85.26 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1361, 1354])).
% 134.62/85.26 tff(1363,plain,
% 134.62/85.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex2)) | (~v123(constB182, bitIndex2)) | v121(constB181, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex2)) | (~v123(constB182, bitIndex2)) | v121(constB181, bitIndex2))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1364,plain,
% 134.62/85.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex2)) | (~v123(constB182, bitIndex2)) | v121(constB181, bitIndex2))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1365,plain,
% 134.62/85.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex2)) | (~v123(constB182, bitIndex2)) | v121(constB181, bitIndex2)),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 134.62/85.26 tff(1366,plain,
% 134.62/85.26 ($false),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1365, 1362, 767, 531, 1352, 1351])).
% 134.62/85.26 tff(1367,plain,((~v123(constB182, bitIndex2)) | v121(constB181, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.26 tff(1368,plain,
% 134.62/85.26 (v121(constB181, bitIndex2)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1367, 1350])).
% 134.62/85.26 tff(1369,assumption,(v121(constB181, bitIndex2)), introduced(assumption)).
% 134.62/85.26 tff(1370,assumption,(~v124(constB181, bitIndex2)), introduced(assumption)).
% 134.62/85.26 tff(1371,plain,
% 134.62/85.26 (^[B: $i, VarCurr: $i] : refl((v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B))) <=> (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B))))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1372,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B))) <=> ![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1371])).
% 134.62/85.26 tff(1373,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B))) <=> ![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1374,plain,
% 134.62/85.26 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, B) | (~v121(VarCurr, B))) <=> (v124(VarCurr, B) | (~v121(VarCurr, B)))), (((v124(VarCurr, B) | (~v121(VarCurr, B))) | (~less_3(B))) <=> ((v124(VarCurr, B) | (~v121(VarCurr, B))) | (~less_3(B))))), rewrite(((v124(VarCurr, B) | (~v121(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))), (((v124(VarCurr, B) | (~v121(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B))))), ((((v124(VarCurr, B) | (~v121(VarCurr, B))) | (~less_3(B))) | v26(VarCurr)) <=> (((~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B))) | v26(VarCurr)))), rewrite((((~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B))) | v26(VarCurr)) <=> (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))), ((((v124(VarCurr, B) | (~v121(VarCurr, B))) | (~less_3(B))) | v26(VarCurr)) <=> (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1375,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~v121(VarCurr, B))) | (~less_3(B))) | v26(VarCurr)) <=> ![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1374])).
% 134.62/85.26 tff(1376,axiom,(![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~v121(VarCurr, B))) | (~less_3(B))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_2')).
% 134.62/85.26 tff(1377,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 134.62/85.26 tff(1378,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1377, 1373])).
% 134.62/85.26 tff(1379,plain,(
% 134.62/85.26 ![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(skolemize,[status(sab)],[1378])).
% 134.62/85.26 tff(1380,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1379, 1372])).
% 134.62/85.26 tff(1381,plain,
% 134.62/85.26 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1382,plain,
% 134.62/85.26 ((v26(constB181) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2))) <=> (v26(constB181) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1383,plain,
% 134.62/85.26 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2)))),
% 134.62/85.26 inference(monotonicity,[status(thm)],[1382])).
% 134.62/85.26 tff(1384,plain,
% 134.62/85.26 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2))),
% 134.62/85.26 inference(transitivity,[status(thm)],[1383, 1381])).
% 134.62/85.26 tff(1385,plain,
% 134.62/85.26 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~v121(constB181, bitIndex2)))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1386,plain,
% 134.62/85.26 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2)),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 134.62/85.26 tff(1387,plain,
% 134.62/85.26 (v26(constB181) | (~v121(constB181, bitIndex2))),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1386, 1380, 767, 1370])).
% 134.62/85.26 tff(1388,plain,
% 134.62/85.26 (v26(constB181)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1387, 1369])).
% 134.62/85.26 tff(1389,plain,
% 134.62/85.26 (^[B: $i, VarCurr: $i] : refl(((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B))) <=> ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B))))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1390,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B))) <=> ![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1389])).
% 134.62/85.26 tff(1391,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B))) <=> ![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1392,plain,
% 134.62/85.26 (^[B: $i, VarCurr: $i] : trans(monotonicity(rewrite(((~v121(VarCurr, B)) | (~less_3(B))) <=> ((~less_3(B)) | (~v121(VarCurr, B)))), ((((~v121(VarCurr, B)) | (~less_3(B))) | (~v26(VarCurr))) <=> (((~less_3(B)) | (~v121(VarCurr, B))) | (~v26(VarCurr))))), rewrite((((~less_3(B)) | (~v121(VarCurr, B))) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))), ((((~v121(VarCurr, B)) | (~less_3(B))) | (~v26(VarCurr))) <=> ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1393,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : (((~v121(VarCurr, B)) | (~less_3(B))) | (~v26(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1392])).
% 134.62/85.26 tff(1394,axiom,(![B: $i, VarCurr: $i] : (((~v121(VarCurr, B)) | (~less_3(B))) | (~v26(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_1_1_1_1')).
% 134.62/85.26 tff(1395,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1394, 1393])).
% 134.62/85.26 tff(1396,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1395, 1391])).
% 134.62/85.26 tff(1397,plain,(
% 134.62/85.26 ![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(skolemize,[status(sab)],[1396])).
% 134.62/85.26 tff(1398,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1397, 1390])).
% 134.62/85.26 tff(1399,plain,
% 134.62/85.26 (((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB181)) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB181)) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1400,plain,
% 134.62/85.26 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB181)) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2)))),
% 134.62/85.26 inference(quant_inst,[status(thm)],[])).
% 134.62/85.26 tff(1401,plain,
% 134.62/85.26 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB181)) | (~less_3(bitIndex2)) | (~v121(constB181, bitIndex2))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 134.62/85.26 tff(1402,plain,
% 134.62/85.26 ($false),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1401, 1398, 767, 1388, 1369])).
% 134.62/85.26 tff(1403,plain,((~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.26 tff(1404,plain,
% 134.62/85.26 (v124(constB181, bitIndex2)),
% 134.62/85.26 inference(unit_resolution,[status(thm)],[1403, 1368])).
% 134.62/85.26 tff(1405,assumption,(v124(constB181, bitIndex2)), introduced(assumption)).
% 134.62/85.26 tff(1406,assumption,(v145(constB181)), introduced(assumption)).
% 134.62/85.26 tff(1407,plain,
% 134.62/85.26 (^[B: $i, VarCurr: $i] : refl(((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B)) <=> ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B)))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1408,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B)) <=> ![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1407])).
% 134.62/85.26 tff(1409,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B)) <=> ![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1410,plain,
% 134.62/85.26 (^[B: $i, VarCurr: $i] : trans(monotonicity(rewrite(((b010(B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v124(VarCurr, B)) | b010(B))), ((((b010(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v145(VarCurr))) <=> (((~less_3(B)) | (~v124(VarCurr, B)) | b010(B)) | (~v145(VarCurr))))), rewrite((((~less_3(B)) | (~v124(VarCurr, B)) | b010(B)) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))), ((((b010(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))))),
% 134.62/85.26 inference(bind,[status(th)],[])).
% 134.62/85.26 tff(1411,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : (((b010(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v145(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))),
% 134.62/85.26 inference(quant_intro,[status(thm)],[1410])).
% 134.62/85.26 tff(1412,axiom,(![B: $i, VarCurr: $i] : (((b010(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_2')).
% 134.62/85.26 tff(1413,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 134.62/85.26 tff(1414,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1413, 1409])).
% 134.62/85.26 tff(1415,plain,(
% 134.62/85.26 ![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))),
% 134.62/85.26 inference(skolemize,[status(sab)],[1414])).
% 134.62/85.26 tff(1416,plain,
% 134.62/85.26 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1415, 1408])).
% 134.62/85.26 tff(1417,plain,
% 134.62/85.26 ((~b010(bitIndex2)) <=> (~b010(bitIndex2))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1418,axiom,(~b010(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_8_1_1')).
% 134.62/85.26 tff(1419,plain,
% 134.62/85.26 (~b010(bitIndex2)),
% 134.62/85.26 inference(modus_ponens,[status(thm)],[1418, 1417])).
% 134.62/85.26 tff(1420,plain,
% 134.62/85.26 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB181)) | (~v124(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1421,plain,
% 134.62/85.26 (((~v145(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.26 inference(rewrite,[status(thm)],[])).
% 134.62/85.26 tff(1422,plain,
% 134.62/85.26 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB181)) | (~v124(constB181, bitIndex2))))),
% 134.62/85.26 inference(monotonicity,[status(thm)],[1421])).
% 134.62/85.26 tff(1423,plain,
% 134.62/85.26 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.27 inference(transitivity,[status(thm)],[1422, 1420])).
% 134.62/85.27 tff(1424,plain,
% 134.62/85.27 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b010(bitIndex2))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1425,plain,
% 134.62/85.27 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB181)) | (~v124(constB181, bitIndex2))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 134.62/85.27 tff(1426,plain,
% 134.62/85.27 ($false),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1425, 1419, 1416, 767, 1406, 1405])).
% 134.62/85.27 tff(1427,plain,((~v124(constB181, bitIndex2)) | (~v145(constB181))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.27 tff(1428,plain,
% 134.62/85.27 (~v145(constB181)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1427, 1404])).
% 134.62/85.27 tff(1429,assumption,(v113(constB181)), introduced(assumption)).
% 134.62/85.27 tff(1430,plain,
% 134.62/85.27 (~v84(constB181, bitIndex2)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1122, 1119, 1429])).
% 134.62/85.27 tff(1431,assumption,(v84(constB180, bitIndex2)), introduced(assumption)).
% 134.62/85.27 tff(1432,plain,
% 134.62/85.27 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1433,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_180_1')).
% 134.62/85.27 tff(1434,plain,
% 134.62/85.27 (nextState(constB180, constB181)),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1433, 1432])).
% 134.62/85.27 tff(1435,plain,
% 134.62/85.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1436,plain,
% 134.62/85.27 (((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181)) <=> (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1437,plain,
% 134.62/85.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))))),
% 134.62/85.27 inference(monotonicity,[status(thm)],[1436])).
% 134.62/85.27 tff(1438,plain,
% 134.62/85.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181)))),
% 134.62/85.27 inference(transitivity,[status(thm)],[1437, 1435])).
% 134.62/85.27 tff(1439,plain,
% 134.62/85.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB180, constB181)) | (~v95(constB181)) | v1(constB181))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1440,plain,
% 134.62/85.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB181) | (~nextState(constB180, constB181)) | (~v95(constB181))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 134.62/85.27 tff(1441,plain,
% 134.62/85.27 (~v95(constB181)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1440, 742, 1434, 528])).
% 134.62/85.27 tff(1442,plain,
% 134.62/85.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1443,plain,
% 134.62/85.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1444,plain,
% 134.62/85.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB180, constB181)) | v95(constB181) | (~v94(constB181))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 134.62/85.27 tff(1445,plain,
% 134.62/85.27 (v95(constB181) | (~v94(constB181))),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1444, 759, 1434])).
% 134.62/85.27 tff(1446,plain,
% 134.62/85.27 (~v94(constB181)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1445, 1441])).
% 134.62/85.27 tff(1447,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB181, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB181, bitIndex2))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1448,plain,
% 134.62/85.27 (((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB180, bitIndex2))) <=> ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB181, bitIndex2))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1449,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB180, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB181, bitIndex2)))),
% 134.62/85.27 inference(monotonicity,[status(thm)],[1448])).
% 134.62/85.27 tff(1450,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB180, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB181, bitIndex2))),
% 134.62/85.27 inference(transitivity,[status(thm)],[1449, 1447])).
% 134.62/85.27 tff(1451,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB181, bitIndex2) | (~v84(constB180, bitIndex2)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1452,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB181, bitIndex2)),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1451, 1450])).
% 134.62/85.27 tff(1453,plain,
% 134.62/85.27 ($false),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1452, 777, 767, 1434, 1446, 1431, 1065])).
% 134.62/85.27 tff(1454,plain,(v84(constB181, bitIndex2) | (~v84(constB180, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.27 tff(1455,plain,
% 134.62/85.27 (~v84(constB180, bitIndex2)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1454, 1430])).
% 134.62/85.27 tff(1456,plain,
% 134.62/85.27 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 134.62/85.27 inference(bind,[status(th)],[])).
% 134.62/85.27 tff(1457,plain,
% 134.62/85.27 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 134.62/85.27 inference(quant_intro,[status(thm)],[1456])).
% 134.62/85.27 tff(1458,plain,
% 134.62/85.27 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1459,plain,
% 134.62/85.27 (^[VarCurr: $i] : rewrite(((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1))))),
% 134.62/85.27 inference(bind,[status(th)],[])).
% 134.62/85.27 tff(1460,plain,
% 134.62/85.27 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 134.62/85.27 inference(quant_intro,[status(thm)],[1459])).
% 134.62/85.27 tff(1461,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_3')).
% 134.62/85.27 tff(1462,plain,
% 134.62/85.27 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 134.62/85.27 tff(1463,plain,
% 134.62/85.27 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1462, 1458])).
% 134.62/85.27 tff(1464,plain,(
% 134.62/85.27 ![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 134.62/85.27 inference(skolemize,[status(sab)],[1463])).
% 134.62/85.27 tff(1465,plain,
% 134.62/85.27 (![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1464, 1457])).
% 134.62/85.27 tff(1466,plain,
% 134.62/85.27 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB181)) | (~v84(constB181, bitIndex1)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1467,plain,
% 134.62/85.27 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex1)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1468,plain,
% 134.62/85.27 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB181)) | (~v84(constB181, bitIndex1))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 134.62/85.27 tff(1469,plain,
% 134.62/85.27 (~v84(constB181, bitIndex1)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1468, 1465, 1429])).
% 134.62/85.27 tff(1470,assumption,(v84(constB180, bitIndex1)), introduced(assumption)).
% 134.62/85.27 tff(1471,assumption,(~v84(constB181, bitIndex1)), introduced(assumption)).
% 134.62/85.27 tff(1472,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1473,plain,
% 134.62/85.27 (((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB180, bitIndex1))) <=> ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1474,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB180, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1)))),
% 134.62/85.27 inference(monotonicity,[status(thm)],[1473])).
% 134.62/85.27 tff(1475,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB180, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1))),
% 134.62/85.27 inference(transitivity,[status(thm)],[1474, 1472])).
% 134.62/85.27 tff(1476,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB181, bitIndex1) | (~v84(constB180, bitIndex1)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1477,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB181, bitIndex1)),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 134.62/85.27 tff(1478,plain,
% 134.62/85.27 ($false),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1477, 777, 823, 1434, 1446, 1471, 1470])).
% 134.62/85.27 tff(1479,plain,(v84(constB181, bitIndex1) | (~v84(constB180, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.27 tff(1480,plain,
% 134.62/85.27 (~v84(constB180, bitIndex1)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1479, 1469])).
% 134.62/85.27 tff(1481,assumption,(~v84(constB180, bitIndex2)), introduced(assumption)).
% 134.62/85.27 tff(1482,assumption,(v84(constB181, bitIndex2)), introduced(assumption)).
% 134.62/85.27 tff(1483,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1484,plain,
% 134.62/85.27 (((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB180, bitIndex2)) <=> ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1485,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB180, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2))))),
% 134.62/85.27 inference(monotonicity,[status(thm)],[1484])).
% 134.62/85.27 tff(1486,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB180, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2)))),
% 134.62/85.27 inference(transitivity,[status(thm)],[1485, 1483])).
% 134.62/85.27 tff(1487,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | (~v84(constB181, bitIndex2)) | v84(constB180, bitIndex2))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1488,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB181, bitIndex2))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1487, 1486])).
% 134.62/85.27 tff(1489,plain,
% 134.62/85.27 ($false),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1488, 805, 767, 1434, 1446, 1481, 1482])).
% 134.62/85.27 tff(1490,plain,((~v84(constB181, bitIndex2)) | v84(constB180, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.27 tff(1491,plain,
% 134.62/85.27 (~v84(constB181, bitIndex2)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1490, 1481])).
% 134.62/85.27 tff(1492,assumption,(~v84(constB180, bitIndex1)), introduced(assumption)).
% 134.62/85.27 tff(1493,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB181, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB181, bitIndex1)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1494,plain,
% 134.62/85.27 (((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB180, bitIndex1)) <=> ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB181, bitIndex1)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1495,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB180, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB181, bitIndex1))))),
% 134.62/85.27 inference(monotonicity,[status(thm)],[1494])).
% 134.62/85.27 tff(1496,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB180, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB181, bitIndex1)))),
% 134.62/85.27 inference(transitivity,[status(thm)],[1495, 1493])).
% 134.62/85.27 tff(1497,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB180, bitIndex1))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1498,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB181, bitIndex1))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 134.62/85.27 tff(1499,plain,
% 134.62/85.27 ($false),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1498, 805, 823, 1434, 1446, 1492, 950])).
% 134.62/85.27 tff(1500,plain,((~v84(constB181, bitIndex1)) | v84(constB180, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.27 tff(1501,plain,
% 134.62/85.27 (~v84(constB181, bitIndex1)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1500, 1492])).
% 134.62/85.27 tff(1502,assumption,(~v84(constB180, bitIndex0)), introduced(assumption)).
% 134.62/85.27 tff(1503,assumption,(~v94(constB180)), introduced(assumption)).
% 134.62/85.27 tff(1504,plain,
% 134.62/85.27 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1505,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_179_1')).
% 134.62/85.27 tff(1506,plain,
% 134.62/85.27 (nextState(constB179, constB180)),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 134.62/85.27 tff(1507,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB179, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB179, bitIndex2)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1508,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB179, bitIndex2)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1509,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v84(constB179, bitIndex2))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 134.62/85.27 tff(1510,plain,
% 134.62/85.27 (v94(constB180) | (~v84(constB179, bitIndex2))),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1509, 777, 767, 1506, 1481])).
% 134.62/85.27 tff(1511,plain,
% 134.62/85.27 (~v84(constB179, bitIndex2)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1510, 1503])).
% 134.62/85.27 tff(1512,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB179, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB179, bitIndex1)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1513,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB179, bitIndex1)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1514,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v84(constB179, bitIndex1))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 134.62/85.27 tff(1515,plain,
% 134.62/85.27 (v94(constB180) | (~v84(constB179, bitIndex1))),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1514, 777, 823, 1506, 1492])).
% 134.62/85.27 tff(1516,plain,
% 134.62/85.27 (~v84(constB179, bitIndex1)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1515, 1503])).
% 134.62/85.27 tff(1517,plain,
% 134.62/85.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB179, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB179, bitIndex0)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1518,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB179, bitIndex0)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1519,plain,
% 134.62/85.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB179, bitIndex0))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 134.62/85.27 tff(1520,plain,
% 134.62/85.27 (v94(constB180) | (~v84(constB179, bitIndex0))),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1519, 777, 795, 1506, 1502])).
% 134.62/85.27 tff(1521,plain,
% 134.62/85.27 (~v84(constB179, bitIndex0)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1520, 1503])).
% 134.62/85.27 tff(1522,plain,
% 134.62/85.27 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB179) | v84(constB179, bitIndex0) | v84(constB179, bitIndex1) | v84(constB179, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB179) | v84(constB179, bitIndex0) | v84(constB179, bitIndex1) | v84(constB179, bitIndex2))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1523,plain,
% 134.62/85.27 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB179) | v84(constB179, bitIndex0) | v84(constB179, bitIndex1) | v84(constB179, bitIndex2))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1524,plain,
% 134.62/85.27 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB179) | v84(constB179, bitIndex0) | v84(constB179, bitIndex1) | v84(constB179, bitIndex2)),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 134.62/85.27 tff(1525,plain,
% 134.62/85.27 (v113(constB179)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1524, 983, 1521, 1516, 1511])).
% 134.62/85.27 tff(1526,plain,
% 134.62/85.27 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB179) | (~v113(constB179)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB179) | (~v113(constB179)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1527,plain,
% 134.62/85.27 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB179) | (~v113(constB179)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1528,plain,
% 134.62/85.27 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB179) | (~v113(constB179))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 134.62/85.27 tff(1529,plain,
% 134.62/85.27 (v112(constB179)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1528, 969, 1525])).
% 134.62/85.27 tff(1530,plain,
% 134.62/85.27 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB179) | (~v112(constB179)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB179) | (~v112(constB179)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1531,plain,
% 134.62/85.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB179) | (~v112(constB179)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1532,plain,
% 134.62/85.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB179) | (~v112(constB179))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 134.62/85.27 tff(1533,plain,
% 134.62/85.27 (v111(constB179)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1532, 702, 1529])).
% 134.62/85.27 tff(1534,plain,
% 134.62/85.27 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB179) | (~v111(constB179)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB179) | (~v111(constB179)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1535,plain,
% 134.62/85.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB179) | (~v111(constB179)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1536,plain,
% 134.62/85.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB179) | (~v111(constB179))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 134.62/85.27 tff(1537,plain,
% 134.62/85.27 (v110(constB179)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1536, 691, 1533])).
% 134.62/85.27 tff(1538,plain,
% 134.62/85.27 ((~v1(constB179)) <=> (~v1(constB179))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1539,axiom,(~v1(constB179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_179_1_1')).
% 134.62/85.27 tff(1540,plain,
% 134.62/85.27 (~v1(constB179)),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 134.62/85.27 tff(1541,plain,
% 134.62/85.27 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1542,plain,
% 134.62/85.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180)))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1543,plain,
% 134.62/85.27 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB179) | (~nextState(constB179, constB180)) | (~v98(constB180))),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 134.62/85.27 tff(1544,plain,
% 134.62/85.27 (~v98(constB180)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1543, 541, 1506, 1540])).
% 134.62/85.27 tff(1545,plain,
% 134.62/85.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1546,plain,
% 134.62/85.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB179, constB180)) | v96(constB180) | v98(constB180))),
% 134.62/85.27 inference(quant_inst,[status(thm)],[])).
% 134.62/85.27 tff(1547,plain,
% 134.62/85.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB179, constB180)) | v96(constB180) | v98(constB180)),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1546, 1545])).
% 134.62/85.27 tff(1548,plain,
% 134.62/85.27 (v96(constB180) | v98(constB180)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1547, 555, 1506])).
% 134.62/85.27 tff(1549,plain,
% 134.62/85.27 (v96(constB180)),
% 134.62/85.27 inference(unit_resolution,[status(thm)],[1548, 1544])).
% 134.62/85.27 tff(1550,plain,
% 134.62/85.27 (v1(constB180) <=> v1(constB180)),
% 134.62/85.27 inference(rewrite,[status(thm)],[])).
% 134.62/85.27 tff(1551,axiom,(v1(constB180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_180_1')).
% 134.62/85.27 tff(1552,plain,
% 134.62/85.27 (v1(constB180)),
% 134.62/85.27 inference(modus_ponens,[status(thm)],[1551, 1550])).
% 134.62/85.27 tff(1553,plain,
% 134.62/85.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1554,plain,
% 134.62/85.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1555,plain,
% 134.62/85.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB179, constB180)) | v95(constB180) | (~v96(constB180)) | (~v1(constB180))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 134.62/85.28 tff(1556,plain,
% 134.62/85.28 (v95(constB180) | (~v96(constB180))),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1555, 573, 1506, 1552])).
% 134.62/85.28 tff(1557,plain,
% 134.62/85.28 (v95(constB180)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1556, 1549])).
% 134.62/85.28 tff(1558,plain,
% 134.62/85.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1559,plain,
% 134.62/85.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1560,plain,
% 134.62/85.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB179, constB180)) | (~v95(constB180)) | (~v104(constB180)) | v94(constB180)),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 134.62/85.28 tff(1561,plain,
% 134.62/85.28 ((~v95(constB180)) | (~v104(constB180)) | v94(constB180)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1560, 588, 1506])).
% 134.62/85.28 tff(1562,plain,
% 134.62/85.28 ((~v104(constB180)) | v94(constB180)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1561, 1557])).
% 134.62/85.28 tff(1563,plain,
% 134.62/85.28 (~v104(constB180)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1562, 1503])).
% 134.62/85.28 tff(1564,plain,
% 134.62/85.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1565,plain,
% 134.62/85.28 (((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180)) <=> ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1566,plain,
% 134.62/85.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))))),
% 134.62/85.28 inference(monotonicity,[status(thm)],[1565])).
% 134.62/85.28 tff(1567,plain,
% 134.62/85.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179)))),
% 134.62/85.28 inference(transitivity,[status(thm)],[1566, 1564])).
% 134.62/85.28 tff(1568,plain,
% 134.62/85.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB179, constB180)) | (~v102(constB179)) | v104(constB180))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1569,plain,
% 134.62/85.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB179, constB180)) | v104(constB180) | (~v102(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 134.62/85.28 tff(1570,plain,
% 134.62/85.28 (v104(constB180) | (~v102(constB179))),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1569, 604, 1506])).
% 134.62/85.28 tff(1571,plain,
% 134.62/85.28 (~v102(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1570, 1563])).
% 134.62/85.28 tff(1572,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB179) | (~v106(constB179)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB179) | (~v106(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1573,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB179) | (~v106(constB179)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1574,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB179) | (~v106(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1573, 1572])).
% 134.62/85.28 tff(1575,plain,
% 134.62/85.28 (~v106(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1574, 619, 1571])).
% 134.62/85.28 tff(1576,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB179) | (~v26(constB179)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB179) | (~v26(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1577,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB179) | (~v26(constB179)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1578,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB179) | (~v26(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1577, 1576])).
% 134.62/85.28 tff(1579,plain,
% 134.62/85.28 (~v26(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1578, 630, 1571])).
% 134.62/85.28 tff(1580,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | v106(constB179) | (~v107(constB179)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | v106(constB179) | (~v107(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1581,plain,
% 134.62/85.28 ((v26(constB179) | (~v107(constB179)) | v106(constB179)) <=> (v26(constB179) | v106(constB179) | (~v107(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1582,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | v106(constB179) | (~v107(constB179))))),
% 134.62/85.28 inference(monotonicity,[status(thm)],[1581])).
% 134.62/85.28 tff(1583,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | v106(constB179) | (~v107(constB179)))),
% 134.62/85.28 inference(transitivity,[status(thm)],[1582, 1580])).
% 134.62/85.28 tff(1584,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB179) | (~v107(constB179)) | v106(constB179))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1585,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB179) | v106(constB179) | (~v107(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 134.62/85.28 tff(1586,plain,
% 134.62/85.28 (~v107(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1585, 644, 1579, 1575])).
% 134.62/85.28 tff(1587,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB179) | (~v108(constB179)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB179) | (~v108(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1588,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB179) | (~v108(constB179)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1589,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB179) | (~v108(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1588, 1587])).
% 134.62/85.28 tff(1590,plain,
% 134.62/85.28 (~v108(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1589, 658, 1586])).
% 134.62/85.28 tff(1591,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB179) | (~v109(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB179) | (~v109(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1592,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB179) | (~v109(constB179)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1593,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB179) | (~v109(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1592, 1591])).
% 134.62/85.28 tff(1594,plain,
% 134.62/85.28 (~v109(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1593, 669, 1590])).
% 134.62/85.28 tff(1595,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB179) | (~v110(constB179)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB179) | (~v110(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1596,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB179) | (~v110(constB179)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1597,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB179) | (~v110(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 134.62/85.28 tff(1598,plain,
% 134.62/85.28 ($false),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1597, 680, 1594, 1537])).
% 134.62/85.28 tff(1599,plain,(v94(constB180) | v84(constB180, bitIndex2) | v84(constB180, bitIndex1) | v84(constB180, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.28 tff(1600,plain,
% 134.62/85.28 (v84(constB180, bitIndex0)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1599, 1481, 1492, 1503])).
% 134.62/85.28 tff(1601,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB179, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB179, bitIndex0))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1602,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB179, bitIndex0))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1603,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB179, bitIndex0)),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 134.62/85.28 tff(1604,plain,
% 134.62/85.28 (v84(constB179, bitIndex0)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1603, 805, 795, 1506, 1503, 1600])).
% 134.62/85.28 tff(1605,plain,
% 134.62/85.28 (~v84(constB179, bitIndex2)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1509, 777, 767, 1506, 1503, 1481])).
% 134.62/85.28 tff(1606,plain,
% 134.62/85.28 (~v84(constB179, bitIndex1)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1514, 777, 823, 1506, 1503, 1492])).
% 134.62/85.28 tff(1607,assumption,(v26(constB179)), introduced(assumption)).
% 134.62/85.28 tff(1608,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1609,plain,
% 134.62/85.28 ($false),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1608, 1172, 1607])).
% 134.62/85.28 tff(1610,plain,(~v26(constB179)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.28 tff(1611,plain,
% 134.62/85.28 (v106(constB179) | (~v107(constB179))),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1585, 644, 1610])).
% 134.62/85.28 tff(1612,plain,
% 134.62/85.28 (~v107(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1611, 1575])).
% 134.62/85.28 tff(1613,plain,
% 134.62/85.28 (~v108(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1589, 658, 1612])).
% 134.62/85.28 tff(1614,plain,
% 134.62/85.28 (~v109(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1593, 669, 1613])).
% 134.62/85.28 tff(1615,plain,
% 134.62/85.28 (~v110(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1597, 680, 1614])).
% 134.62/85.28 tff(1616,plain,
% 134.62/85.28 (~v111(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1536, 691, 1615])).
% 134.62/85.28 tff(1617,plain,
% 134.62/85.28 (~v112(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1532, 702, 1616])).
% 134.62/85.28 tff(1618,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB179) | (~v145(constB179)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB179) | (~v145(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1619,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB179) | (~v145(constB179)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1620,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB179) | (~v145(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 134.62/85.28 tff(1621,plain,
% 134.62/85.28 (~v145(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1620, 713, 1617])).
% 134.62/85.28 tff(1622,plain,
% 134.62/85.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB179) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | v84(constB179, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB179) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | v84(constB179, bitIndex1))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1623,plain,
% 134.62/85.28 (((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | v84(constB179, bitIndex2) | v145(constB179)) <=> (v145(constB179) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | v84(constB179, bitIndex1))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1624,plain,
% 134.62/85.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | v84(constB179, bitIndex2) | v145(constB179))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB179) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | v84(constB179, bitIndex1)))),
% 134.62/85.28 inference(monotonicity,[status(thm)],[1623])).
% 134.62/85.28 tff(1625,plain,
% 134.62/85.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | v84(constB179, bitIndex2) | v145(constB179))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB179) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | v84(constB179, bitIndex1))),
% 134.62/85.28 inference(transitivity,[status(thm)],[1624, 1622])).
% 134.62/85.28 tff(1626,plain,
% 134.62/85.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | v84(constB179, bitIndex2) | v145(constB179))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1627,plain,
% 134.62/85.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB179) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | v84(constB179, bitIndex1)),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1626, 1625])).
% 134.62/85.28 tff(1628,plain,
% 134.62/85.28 ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | v84(constB179, bitIndex1)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1627, 865, 1621])).
% 134.62/85.28 tff(1629,plain,
% 134.62/85.28 ($false),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1628, 1606, 1605, 1604])).
% 134.62/85.28 tff(1630,plain,(v84(constB180, bitIndex2) | v94(constB180) | v84(constB180, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.28 tff(1631,plain,
% 134.62/85.28 (v84(constB180, bitIndex2)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1630, 1503, 1492])).
% 134.62/85.28 tff(1632,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB179, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB179, bitIndex2))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1633,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB179, bitIndex2))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1634,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex2)) | (~v84(constB180, bitIndex2)) | v84(constB179, bitIndex2)),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 134.62/85.28 tff(1635,plain,
% 134.62/85.28 (v94(constB180) | v84(constB179, bitIndex2)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1634, 805, 767, 1506, 1431])).
% 134.62/85.28 tff(1636,plain,
% 134.62/85.28 (v84(constB179, bitIndex2)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1635, 1503])).
% 134.62/85.28 tff(1637,assumption,(v84(constB180, bitIndex0)), introduced(assumption)).
% 134.62/85.28 tff(1638,plain,
% 134.62/85.28 (v94(constB180) | v84(constB179, bitIndex0)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1603, 805, 795, 1506, 1637])).
% 134.62/85.28 tff(1639,plain,
% 134.62/85.28 (v84(constB179, bitIndex0)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1638, 1503])).
% 134.62/85.28 tff(1640,plain,
% 134.62/85.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1641,plain,
% 134.62/85.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1642,plain,
% 134.62/85.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v118(constB179)),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1641, 1640])).
% 134.62/85.28 tff(1643,plain,
% 134.62/85.28 (v118(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1642, 1018, 1516, 1639, 1636])).
% 134.62/85.28 tff(1644,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB179) | (~v118(constB179)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB179) | (~v118(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1645,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB179) | (~v118(constB179)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1646,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB179) | (~v118(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 134.62/85.28 tff(1647,plain,
% 134.62/85.28 (v108(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1646, 1004, 1643])).
% 134.62/85.28 tff(1648,plain,
% 134.62/85.28 ($false),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1589, 658, 1647, 1586])).
% 134.62/85.28 tff(1649,plain,(v94(constB180) | (~v84(constB180, bitIndex2)) | (~v84(constB180, bitIndex0)) | v84(constB180, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.28 tff(1650,plain,
% 134.62/85.28 (~v84(constB180, bitIndex0)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1649, 1631, 1492, 1503])).
% 134.62/85.28 tff(1651,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB179, bitIndex0) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v172(constB179))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB179, bitIndex0) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v172(constB179))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1652,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB179, bitIndex0) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v172(constB179))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1653,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB179, bitIndex0) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex2)) | v172(constB179)),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1652, 1651])).
% 134.62/85.28 tff(1654,plain,
% 134.62/85.28 (v172(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1653, 1047, 1516, 1521, 1636])).
% 134.62/85.28 tff(1655,plain,
% 134.62/85.28 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB179) | (~v172(constB179)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB179) | (~v172(constB179)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1656,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB179) | (~v172(constB179)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1657,plain,
% 134.62/85.28 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB179) | (~v172(constB179))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1656, 1655])).
% 134.62/85.28 tff(1658,plain,
% 134.62/85.28 (v109(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1657, 1033, 1654])).
% 134.62/85.28 tff(1659,plain,
% 134.62/85.28 (v108(constB179)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1593, 669, 1658])).
% 134.62/85.28 tff(1660,plain,
% 134.62/85.28 ($false),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1589, 658, 1659, 1586])).
% 134.62/85.28 tff(1661,plain,(v94(constB180) | (~v84(constB180, bitIndex2)) | v84(constB180, bitIndex0) | v84(constB180, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.28 tff(1662,plain,
% 134.62/85.28 ($false),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1661, 1650, 1631, 1503, 1492])).
% 134.62/85.28 tff(1663,plain,(v94(constB180) | v84(constB180, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.28 tff(1664,plain,
% 134.62/85.28 (v94(constB180)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1663, 1492])).
% 134.62/85.28 tff(1665,plain,
% 134.62/85.28 (^[B: $i, VarNext: $i] : refl(((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B))) <=> ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B))))),
% 134.62/85.28 inference(bind,[status(th)],[])).
% 134.62/85.28 tff(1666,plain,
% 134.62/85.28 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B))) <=> ![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))),
% 134.62/85.28 inference(quant_intro,[status(thm)],[1665])).
% 134.62/85.28 tff(1667,plain,
% 134.62/85.28 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B))) <=> ![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1668,plain,
% 134.62/85.28 (^[B: $i, VarNext: $i] : trans(monotonicity(trans(monotonicity(rewrite((v84(VarNext, B) | (~v123(VarNext, B))) <=> (v84(VarNext, B) | (~v123(VarNext, B)))), (((v84(VarNext, B) | (~v123(VarNext, B))) | (~less_3(B))) <=> ((v84(VarNext, B) | (~v123(VarNext, B))) | (~less_3(B))))), rewrite(((v84(VarNext, B) | (~v123(VarNext, B))) | (~less_3(B))) <=> ((~less_3(B)) | v84(VarNext, B) | (~v123(VarNext, B)))), (((v84(VarNext, B) | (~v123(VarNext, B))) | (~less_3(B))) <=> ((~less_3(B)) | v84(VarNext, B) | (~v123(VarNext, B))))), ((((v84(VarNext, B) | (~v123(VarNext, B))) | (~less_3(B))) | (~v94(VarNext))) <=> (((~less_3(B)) | v84(VarNext, B) | (~v123(VarNext, B))) | (~v94(VarNext))))), rewrite((((~less_3(B)) | v84(VarNext, B) | (~v123(VarNext, B))) | (~v94(VarNext))) <=> ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))), ((((v84(VarNext, B) | (~v123(VarNext, B))) | (~less_3(B))) | (~v94(VarNext))) <=> ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))))),
% 134.62/85.28 inference(bind,[status(th)],[])).
% 134.62/85.28 tff(1669,plain,
% 134.62/85.28 (![B: $i, VarNext: $i] : (((v84(VarNext, B) | (~v123(VarNext, B))) | (~less_3(B))) | (~v94(VarNext))) <=> ![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))),
% 134.62/85.28 inference(quant_intro,[status(thm)],[1668])).
% 134.62/85.28 tff(1670,axiom,(![B: $i, VarNext: $i] : (((v84(VarNext, B) | (~v123(VarNext, B))) | (~less_3(B))) | (~v94(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0_1')).
% 134.62/85.28 tff(1671,plain,
% 134.62/85.28 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 134.62/85.28 tff(1672,plain,
% 134.62/85.28 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1671, 1667])).
% 134.62/85.28 tff(1673,plain,(
% 134.62/85.28 ![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))),
% 134.62/85.28 inference(skolemize,[status(sab)],[1672])).
% 134.62/85.28 tff(1674,plain,
% 134.62/85.28 (![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1673, 1666])).
% 134.62/85.28 tff(1675,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB180)) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1676,plain,
% 134.62/85.28 (((~less_3(bitIndex0)) | (~v94(constB180)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0))) <=> ((~v94(constB180)) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1677,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB180)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB180)) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0))))),
% 134.62/85.28 inference(monotonicity,[status(thm)],[1676])).
% 134.62/85.28 tff(1678,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB180)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)))),
% 134.62/85.28 inference(transitivity,[status(thm)],[1677, 1675])).
% 134.62/85.28 tff(1679,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB180)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1680,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v123(constB180, bitIndex0))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 134.62/85.28 tff(1681,plain,
% 134.62/85.28 (~v123(constB180, bitIndex0)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1680, 1674, 795, 1664, 1502])).
% 134.62/85.28 tff(1682,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB180)) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1683,plain,
% 134.62/85.28 (((~less_3(bitIndex1)) | (~v94(constB180)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1))) <=> ((~v94(constB180)) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1684,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB180)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB180)) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1))))),
% 134.62/85.28 inference(monotonicity,[status(thm)],[1683])).
% 134.62/85.28 tff(1685,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB180)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)))),
% 134.62/85.28 inference(transitivity,[status(thm)],[1684, 1682])).
% 134.62/85.28 tff(1686,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB180)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1687,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex1)) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 134.62/85.28 tff(1688,plain,
% 134.62/85.28 (~v123(constB180, bitIndex1)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1687, 1674, 823, 1664, 1492])).
% 134.62/85.28 tff(1689,assumption,(~v121(constB179, bitIndex0)), introduced(assumption)).
% 134.62/85.28 tff(1690,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB180)) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1691,plain,
% 134.62/85.28 (((~less_3(bitIndex2)) | (~v94(constB180)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2))) <=> ((~v94(constB180)) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1692,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB180)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB180)) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2))))),
% 134.62/85.28 inference(monotonicity,[status(thm)],[1691])).
% 134.62/85.28 tff(1693,plain,
% 134.62/85.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB180)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 134.62/85.28 inference(transitivity,[status(thm)],[1692, 1690])).
% 134.62/85.28 tff(1694,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB180)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 134.62/85.28 inference(quant_inst,[status(thm)],[])).
% 134.62/85.28 tff(1695,plain,
% 134.62/85.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB180)) | (~less_3(bitIndex2)) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 134.62/85.28 tff(1696,plain,
% 134.62/85.28 (~v123(constB180, bitIndex2)),
% 134.62/85.28 inference(unit_resolution,[status(thm)],[1695, 1674, 767, 1664, 1481])).
% 134.62/85.28 tff(1697,assumption,(~v123(constB180, bitIndex2)), introduced(assumption)).
% 134.62/85.28 tff(1698,assumption,(v121(constB179, bitIndex2)), introduced(assumption)).
% 134.62/85.28 tff(1699,plain,
% 134.62/85.28 (^[B: $i, VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B))) <=> ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B))))),
% 134.62/85.28 inference(bind,[status(th)],[])).
% 134.62/85.28 tff(1700,plain,
% 134.62/85.28 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))),
% 134.62/85.28 inference(quant_intro,[status(thm)],[1699])).
% 134.62/85.28 tff(1701,plain,
% 134.62/85.28 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))),
% 134.62/85.28 inference(rewrite,[status(thm)],[])).
% 134.62/85.28 tff(1702,plain,
% 134.62/85.28 (^[B: $i, VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v123(VarNext, B) | (~v121(VarCurr, B))) <=> (v123(VarNext, B) | (~v121(VarCurr, B)))), (((v123(VarNext, B) | (~v121(VarCurr, B))) | (~less_3(B))) <=> ((v123(VarNext, B) | (~v121(VarCurr, B))) | (~less_3(B))))), rewrite(((v123(VarNext, B) | (~v121(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))), (((v123(VarNext, B) | (~v121(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B))))), ((((v123(VarNext, B) | (~v121(VarCurr, B))) | (~less_3(B))) | (~nextState(VarCurr, VarNext))) <=> (((~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B))) | (~nextState(VarCurr, VarNext))))), rewrite((((~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))), ((((v123(VarNext, B) | (~v121(VarCurr, B))) | (~less_3(B))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))))),
% 134.62/85.28 inference(bind,[status(th)],[])).
% 134.62/85.28 tff(1703,plain,
% 134.62/85.28 (![B: $i, VarNext: $i, VarCurr: $i] : (((v123(VarNext, B) | (~v121(VarCurr, B))) | (~less_3(B))) | (~nextState(VarCurr, VarNext))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))),
% 134.62/85.28 inference(quant_intro,[status(thm)],[1702])).
% 134.62/85.28 tff(1704,axiom,(![B: $i, VarNext: $i, VarCurr: $i] : (((v123(VarNext, B) | (~v121(VarCurr, B))) | (~less_3(B))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_7_1_1')).
% 134.62/85.28 tff(1705,plain,
% 134.62/85.28 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))),
% 134.62/85.28 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 134.62/85.29 tff(1706,plain,
% 134.62/85.29 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1705, 1701])).
% 134.62/85.29 tff(1707,plain,(
% 134.62/85.29 ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))),
% 134.62/85.29 inference(skolemize,[status(sab)],[1706])).
% 134.62/85.29 tff(1708,plain,
% 134.62/85.29 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1707, 1700])).
% 134.62/85.29 tff(1709,plain,
% 134.62/85.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1710,plain,
% 134.62/85.29 (((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v123(constB180, bitIndex2) | (~v121(constB179, bitIndex2))) <=> ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1711,plain,
% 134.62/85.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v123(constB180, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2)))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1710])).
% 134.62/85.29 tff(1712,plain,
% 134.62/85.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v123(constB180, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1711, 1709])).
% 134.62/85.29 tff(1713,plain,
% 134.62/85.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v123(constB180, bitIndex2) | (~v121(constB179, bitIndex2)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1714,plain,
% 134.62/85.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v121(constB179, bitIndex2)) | v123(constB180, bitIndex2)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 134.62/85.29 tff(1715,plain,
% 134.62/85.29 ($false),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1714, 1708, 767, 1506, 1698, 1697])).
% 134.62/85.29 tff(1716,plain,(v123(constB180, bitIndex2) | (~v121(constB179, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.29 tff(1717,plain,
% 134.62/85.29 (~v121(constB179, bitIndex2)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1716, 1696])).
% 134.62/85.29 tff(1718,assumption,(~v26(constB179)), introduced(assumption)).
% 134.62/85.29 tff(1719,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : refl((v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B))) <=> (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1720,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B))) <=> ![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1719])).
% 134.62/85.29 tff(1721,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B))) <=> ![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1722,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v121(VarCurr, B) | (~v124(VarCurr, B))) <=> (v121(VarCurr, B) | (~v124(VarCurr, B)))), (((v121(VarCurr, B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> ((v121(VarCurr, B) | (~v124(VarCurr, B))) | (~less_3(B))))), rewrite(((v121(VarCurr, B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> (v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))), (((v121(VarCurr, B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> (v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B))))), ((((v121(VarCurr, B) | (~v124(VarCurr, B))) | (~less_3(B))) | v26(VarCurr)) <=> ((v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B))) | v26(VarCurr)))), rewrite(((v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B))) | v26(VarCurr)) <=> (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))), ((((v121(VarCurr, B) | (~v124(VarCurr, B))) | (~less_3(B))) | v26(VarCurr)) <=> (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1723,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (((v121(VarCurr, B) | (~v124(VarCurr, B))) | (~less_3(B))) | v26(VarCurr)) <=> ![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1722])).
% 134.62/85.29 tff(1724,axiom,(![B: $i, VarCurr: $i] : (((v121(VarCurr, B) | (~v124(VarCurr, B))) | (~less_3(B))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1_1_1_1')).
% 134.62/85.29 tff(1725,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1724, 1723])).
% 134.62/85.29 tff(1726,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1725, 1721])).
% 134.62/85.29 tff(1727,plain,(
% 134.62/85.29 ![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))),
% 134.62/85.29 inference(skolemize,[status(sab)],[1726])).
% 134.62/85.29 tff(1728,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1727, 1720])).
% 134.62/85.29 tff(1729,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex0)) | v121(constB179, bitIndex0) | (~v124(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex0)) | v121(constB179, bitIndex0) | (~v124(constB179, bitIndex0)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1730,plain,
% 134.62/85.29 ((v26(constB179) | v121(constB179, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0))) <=> (v26(constB179) | (~less_3(bitIndex0)) | v121(constB179, bitIndex0) | (~v124(constB179, bitIndex0)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1731,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex0)) | v121(constB179, bitIndex0) | (~v124(constB179, bitIndex0))))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1730])).
% 134.62/85.29 tff(1732,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex0)) | v121(constB179, bitIndex0) | (~v124(constB179, bitIndex0)))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1731, 1729])).
% 134.62/85.29 tff(1733,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1734,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex0)) | v121(constB179, bitIndex0) | (~v124(constB179, bitIndex0))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1733, 1732])).
% 134.62/85.29 tff(1735,plain,
% 134.62/85.29 (v26(constB179) | (~v124(constB179, bitIndex0))),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1734, 1728, 795, 1689])).
% 134.62/85.29 tff(1736,plain,
% 134.62/85.29 (~v124(constB179, bitIndex0)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1735, 1718])).
% 134.62/85.29 tff(1737,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1738,plain,
% 134.62/85.29 (((~v115(constB179)) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1739,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB179)) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0)))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1738])).
% 134.62/85.29 tff(1740,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB179)) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1739, 1737])).
% 134.62/85.29 tff(1741,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB179)) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b011(bitIndex0)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1742,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 134.62/85.29 tff(1743,plain,
% 134.62/85.29 (~v115(constB179)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1742, 1148, 1193, 795, 1736])).
% 134.62/85.29 tff(1744,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1745,plain,
% 134.62/85.29 (((~v118(constB179)) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1746,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB179)) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0)))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1745])).
% 134.62/85.29 tff(1747,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB179)) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1746, 1744])).
% 134.62/85.29 tff(1748,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB179)) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b011(bitIndex0)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1749,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB179)) | (~b011(bitIndex0)) | v124(constB179, bitIndex0)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1748, 1747])).
% 134.62/85.29 tff(1750,plain,
% 134.62/85.29 (~v118(constB179)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1749, 1148, 1145, 795, 1736])).
% 134.62/85.29 tff(1751,assumption,(~v121(constB179, bitIndex2)), introduced(assumption)).
% 134.62/85.29 tff(1752,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v124(constB179, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v124(constB179, bitIndex2)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1753,plain,
% 134.62/85.29 ((v26(constB179) | v121(constB179, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2))) <=> (v26(constB179) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v124(constB179, bitIndex2)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1754,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v124(constB179, bitIndex2))))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1753])).
% 134.62/85.29 tff(1755,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v124(constB179, bitIndex2)))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1754, 1752])).
% 134.62/85.29 tff(1756,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1757,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v124(constB179, bitIndex2))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 134.62/85.29 tff(1758,plain,
% 134.62/85.29 (v26(constB179) | (~v124(constB179, bitIndex2))),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1757, 1728, 767, 1751])).
% 134.62/85.29 tff(1759,plain,
% 134.62/85.29 (~v124(constB179, bitIndex2)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1758, 1718])).
% 134.62/85.29 tff(1760,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : refl(((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B))) <=> ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1761,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B))) <=> ![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1760])).
% 134.62/85.29 tff(1762,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B))) <=> ![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1763,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, B) | (~b100(B))) <=> (v124(VarCurr, B) | (~b100(B)))), (((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) <=> ((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))))), rewrite(((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b100(B)))), (((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b100(B))))), ((((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) | (~v116(VarCurr))) <=> (((~less_3(B)) | v124(VarCurr, B) | (~b100(B))) | (~v116(VarCurr))))), rewrite((((~less_3(B)) | v124(VarCurr, B) | (~b100(B))) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))), ((((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1764,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) | (~v116(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1763])).
% 134.62/85.29 tff(1765,axiom,(![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_1')).
% 134.62/85.29 tff(1766,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 134.62/85.29 tff(1767,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1766, 1762])).
% 134.62/85.29 tff(1768,plain,(
% 134.62/85.29 ![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(skolemize,[status(sab)],[1767])).
% 134.62/85.29 tff(1769,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1768, 1761])).
% 134.62/85.29 tff(1770,plain,
% 134.62/85.29 (b100(bitIndex2) <=> b100(bitIndex2)),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1771,axiom,(b100(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_14_1')).
% 134.62/85.29 tff(1772,plain,
% 134.62/85.29 (b100(bitIndex2)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1771, 1770])).
% 134.62/85.29 tff(1773,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1774,plain,
% 134.62/85.29 (((~v116(constB179)) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v116(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1775,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB179)) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2)))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1774])).
% 134.62/85.29 tff(1776,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB179)) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1775, 1773])).
% 134.62/85.29 tff(1777,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB179)) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~b100(bitIndex2)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1778,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 134.62/85.29 tff(1779,plain,
% 134.62/85.29 (~v116(constB179)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1778, 1772, 1769, 767, 1759])).
% 134.62/85.29 tff(1780,assumption,(~v121(constB179, bitIndex1)), introduced(assumption)).
% 134.62/85.29 tff(1781,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex1)) | v121(constB179, bitIndex1) | (~v124(constB179, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex1)) | v121(constB179, bitIndex1) | (~v124(constB179, bitIndex1)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1782,plain,
% 134.62/85.29 ((v26(constB179) | v121(constB179, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1))) <=> (v26(constB179) | (~less_3(bitIndex1)) | v121(constB179, bitIndex1) | (~v124(constB179, bitIndex1)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1783,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex1)) | v121(constB179, bitIndex1) | (~v124(constB179, bitIndex1))))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1782])).
% 134.62/85.29 tff(1784,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex1)) | v121(constB179, bitIndex1) | (~v124(constB179, bitIndex1)))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1783, 1781])).
% 134.62/85.29 tff(1785,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB179) | v121(constB179, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1786,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex1)) | v121(constB179, bitIndex1) | (~v124(constB179, bitIndex1))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 134.62/85.29 tff(1787,plain,
% 134.62/85.29 (v26(constB179) | (~v124(constB179, bitIndex1))),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1786, 1728, 823, 1780])).
% 134.62/85.29 tff(1788,plain,
% 134.62/85.29 (~v124(constB179, bitIndex1)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1787, 1718])).
% 134.62/85.29 tff(1789,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : refl(((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B))) <=> ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1790,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B))) <=> ![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1789])).
% 134.62/85.29 tff(1791,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B))) <=> ![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1792,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, B) | (~b110(B))) <=> (v124(VarCurr, B) | (~b110(B)))), (((v124(VarCurr, B) | (~b110(B))) | (~less_3(B))) <=> ((v124(VarCurr, B) | (~b110(B))) | (~less_3(B))))), rewrite(((v124(VarCurr, B) | (~b110(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b110(B)))), (((v124(VarCurr, B) | (~b110(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b110(B))))), ((((v124(VarCurr, B) | (~b110(B))) | (~less_3(B))) | (~v172(VarCurr))) <=> (((~less_3(B)) | v124(VarCurr, B) | (~b110(B))) | (~v172(VarCurr))))), rewrite((((~less_3(B)) | v124(VarCurr, B) | (~b110(B))) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))), ((((v124(VarCurr, B) | (~b110(B))) | (~less_3(B))) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1793,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b110(B))) | (~less_3(B))) | (~v172(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1792])).
% 134.62/85.29 tff(1794,axiom,(![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b110(B))) | (~less_3(B))) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_1')).
% 134.62/85.29 tff(1795,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 134.62/85.29 tff(1796,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1795, 1791])).
% 134.62/85.29 tff(1797,plain,(
% 134.62/85.29 ![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))),
% 134.62/85.29 inference(skolemize,[status(sab)],[1796])).
% 134.62/85.29 tff(1798,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1797, 1790])).
% 134.62/85.29 tff(1799,plain,
% 134.62/85.29 (b110(bitIndex1) <=> b110(bitIndex1)),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1800,axiom,(b110(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_19_1')).
% 134.62/85.29 tff(1801,plain,
% 134.62/85.29 (b110(bitIndex1)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1800, 1799])).
% 134.62/85.29 tff(1802,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB179)) | (~b110(bitIndex1)) | v124(constB179, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB179)) | (~b110(bitIndex1)) | v124(constB179, bitIndex1))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1803,plain,
% 134.62/85.29 (((~v172(constB179)) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v172(constB179)) | (~b110(bitIndex1)) | v124(constB179, bitIndex1))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1804,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB179)) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB179)) | (~b110(bitIndex1)) | v124(constB179, bitIndex1)))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1803])).
% 134.62/85.29 tff(1805,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB179)) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB179)) | (~b110(bitIndex1)) | v124(constB179, bitIndex1))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1804, 1802])).
% 134.62/85.29 tff(1806,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB179)) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~b110(bitIndex1)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1807,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB179)) | (~b110(bitIndex1)) | v124(constB179, bitIndex1)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 134.62/85.29 tff(1808,plain,
% 134.62/85.29 (~v172(constB179)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1807, 1801, 1798, 823, 1788])).
% 134.62/85.29 tff(1809,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : refl(((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B))) <=> ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1810,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B))) <=> ![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1809])).
% 134.62/85.29 tff(1811,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B))) <=> ![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1812,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, B) | (~b010(B))) <=> (v124(VarCurr, B) | (~b010(B)))), (((v124(VarCurr, B) | (~b010(B))) | (~less_3(B))) <=> ((v124(VarCurr, B) | (~b010(B))) | (~less_3(B))))), rewrite(((v124(VarCurr, B) | (~b010(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b010(B)))), (((v124(VarCurr, B) | (~b010(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b010(B))))), ((((v124(VarCurr, B) | (~b010(B))) | (~less_3(B))) | (~v145(VarCurr))) <=> (((~less_3(B)) | v124(VarCurr, B) | (~b010(B))) | (~v145(VarCurr))))), rewrite((((~less_3(B)) | v124(VarCurr, B) | (~b010(B))) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))), ((((v124(VarCurr, B) | (~b010(B))) | (~less_3(B))) | (~v145(VarCurr))) <=> ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1813,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b010(B))) | (~less_3(B))) | (~v145(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1812])).
% 134.62/85.29 tff(1814,axiom,(![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b010(B))) | (~less_3(B))) | (~v145(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_2_1_1')).
% 134.62/85.29 tff(1815,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 134.62/85.29 tff(1816,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1815, 1811])).
% 134.62/85.29 tff(1817,plain,(
% 134.62/85.29 ![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))),
% 134.62/85.29 inference(skolemize,[status(sab)],[1816])).
% 134.62/85.29 tff(1818,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1817, 1810])).
% 134.62/85.29 tff(1819,plain,
% 134.62/85.29 (b010(bitIndex1) <=> b010(bitIndex1)),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1820,axiom,(b010(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_7_1')).
% 134.62/85.29 tff(1821,plain,
% 134.62/85.29 (b010(bitIndex1)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 134.62/85.29 tff(1822,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB179)) | (~b010(bitIndex1)) | v124(constB179, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB179)) | (~b010(bitIndex1)) | v124(constB179, bitIndex1))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1823,plain,
% 134.62/85.29 (((~v145(constB179)) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB179)) | (~b010(bitIndex1)) | v124(constB179, bitIndex1))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1824,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB179)) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB179)) | (~b010(bitIndex1)) | v124(constB179, bitIndex1)))),
% 134.62/85.29 inference(monotonicity,[status(thm)],[1823])).
% 134.62/85.29 tff(1825,plain,
% 134.62/85.29 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB179)) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB179)) | (~b010(bitIndex1)) | v124(constB179, bitIndex1))),
% 134.62/85.29 inference(transitivity,[status(thm)],[1824, 1822])).
% 134.62/85.29 tff(1826,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB179)) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~b010(bitIndex1)))),
% 134.62/85.29 inference(quant_inst,[status(thm)],[])).
% 134.62/85.29 tff(1827,plain,
% 134.62/85.29 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB179)) | (~b010(bitIndex1)) | v124(constB179, bitIndex1)),
% 134.62/85.29 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 134.62/85.29 tff(1828,plain,
% 134.62/85.29 (~v145(constB179)),
% 134.62/85.29 inference(unit_resolution,[status(thm)],[1827, 1821, 1818, 823, 1788])).
% 134.62/85.29 tff(1829,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : refl(((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B))) <=> ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B))))),
% 134.62/85.29 inference(bind,[status(th)],[])).
% 134.62/85.29 tff(1830,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B))) <=> ![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(quant_intro,[status(thm)],[1829])).
% 134.62/85.29 tff(1831,plain,
% 134.62/85.29 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B))) <=> ![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.29 inference(rewrite,[status(thm)],[])).
% 134.62/85.29 tff(1832,plain,
% 134.62/85.29 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v124(VarCurr, B) | (~b100(B))) <=> (v124(VarCurr, B) | (~b100(B)))), (((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) <=> ((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))))), rewrite(((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b100(B)))), (((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) <=> ((~less_3(B)) | v124(VarCurr, B) | (~b100(B))))), ((((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) | (~v113(VarCurr))) <=> (((~less_3(B)) | v124(VarCurr, B) | (~b100(B))) | (~v113(VarCurr))))), rewrite((((~less_3(B)) | v124(VarCurr, B) | (~b100(B))) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))), ((((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))))),
% 134.62/85.30 inference(bind,[status(th)],[])).
% 134.62/85.30 tff(1833,plain,
% 134.62/85.30 (![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) | (~v113(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.30 inference(quant_intro,[status(thm)],[1832])).
% 134.62/85.30 tff(1834,axiom,(![B: $i, VarCurr: $i] : (((v124(VarCurr, B) | (~b100(B))) | (~less_3(B))) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_1')).
% 134.62/85.30 tff(1835,plain,
% 134.62/85.30 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 134.62/85.30 tff(1836,plain,
% 134.62/85.30 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1835, 1831])).
% 134.62/85.30 tff(1837,plain,(
% 134.62/85.30 ![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.30 inference(skolemize,[status(sab)],[1836])).
% 134.62/85.30 tff(1838,plain,
% 134.62/85.30 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1837, 1830])).
% 134.62/85.30 tff(1839,plain,
% 134.62/85.30 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1840,plain,
% 134.62/85.30 (((~v113(constB179)) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v113(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1841,plain,
% 134.62/85.30 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB179)) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2)))),
% 134.62/85.30 inference(monotonicity,[status(thm)],[1840])).
% 134.62/85.30 tff(1842,plain,
% 134.62/85.30 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB179)) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2))),
% 134.62/85.30 inference(transitivity,[status(thm)],[1841, 1839])).
% 134.62/85.30 tff(1843,plain,
% 134.62/85.30 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB179)) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~b100(bitIndex2)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1844,plain,
% 134.62/85.30 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB179)) | (~b100(bitIndex2)) | v124(constB179, bitIndex2)),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1843, 1842])).
% 134.62/85.30 tff(1845,plain,
% 134.62/85.30 (~v113(constB179)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1844, 1772, 1838, 767, 1759])).
% 134.62/85.30 tff(1846,plain,
% 134.62/85.30 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~b001(bitIndex0)) | v124(constB179, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~b001(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1847,plain,
% 134.62/85.30 ((v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~b001(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1848,plain,
% 134.62/85.30 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~b001(bitIndex0)) | v124(constB179, bitIndex0)))),
% 134.62/85.30 inference(monotonicity,[status(thm)],[1847])).
% 134.62/85.30 tff(1849,plain,
% 134.62/85.30 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~b001(bitIndex0)) | v124(constB179, bitIndex0))),
% 134.62/85.30 inference(transitivity,[status(thm)],[1848, 1846])).
% 134.62/85.30 tff(1850,plain,
% 134.62/85.30 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~b001(bitIndex0)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1851,plain,
% 134.62/85.30 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~b001(bitIndex0)) | v124(constB179, bitIndex0)),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 134.62/85.30 tff(1852,plain,
% 134.62/85.30 (v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1851, 1213, 1210, 795, 1736])).
% 134.62/85.30 tff(1853,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1852, 1845, 1828, 1808, 1779, 1750, 1743])).
% 134.62/85.30 tff(1854,plain,(v26(constB179) | v121(constB179, bitIndex2) | v121(constB179, bitIndex1) | v121(constB179, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1855,plain,
% 134.62/85.30 (v121(constB179, bitIndex1)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1854, 1717, 1610, 1689])).
% 134.62/85.30 tff(1856,plain,
% 134.62/85.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex1)) | v123(constB180, bitIndex1) | (~v121(constB179, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex1)) | v123(constB180, bitIndex1) | (~v121(constB179, bitIndex1)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1857,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex1)) | v123(constB180, bitIndex1) | (~v121(constB179, bitIndex1)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1858,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex1)) | v123(constB180, bitIndex1) | (~v121(constB179, bitIndex1))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 134.62/85.30 tff(1859,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1858, 1708, 823, 1506, 1855, 1688])).
% 134.62/85.30 tff(1860,plain,(v121(constB179, bitIndex0) | v84(constB180, bitIndex1) | v84(constB180, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1861,plain,
% 134.62/85.30 (v121(constB179, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1860, 1492, 1481])).
% 134.62/85.30 tff(1862,plain,
% 134.62/85.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex0)) | v123(constB180, bitIndex0) | (~v121(constB179, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex0)) | v123(constB180, bitIndex0) | (~v121(constB179, bitIndex0)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1863,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex0)) | v123(constB180, bitIndex0) | (~v121(constB179, bitIndex0)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1864,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex0)) | v123(constB180, bitIndex0) | (~v121(constB179, bitIndex0))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 134.62/85.30 tff(1865,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1864, 1708, 795, 1506, 1861, 1681])).
% 134.62/85.30 tff(1866,plain,(v84(constB180, bitIndex1) | v84(constB180, bitIndex0) | v84(constB180, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1867,plain,
% 134.62/85.30 (v84(constB180, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1866, 1492, 1481])).
% 134.62/85.30 tff(1868,assumption,(~v84(constB181, bitIndex0)), introduced(assumption)).
% 134.62/85.30 tff(1869,plain,
% 134.62/85.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB181, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB181, bitIndex0))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1870,plain,
% 134.62/85.30 (((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB180, bitIndex0))) <=> ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB181, bitIndex0))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1871,plain,
% 134.62/85.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB180, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB181, bitIndex0)))),
% 134.62/85.30 inference(monotonicity,[status(thm)],[1870])).
% 134.62/85.30 tff(1872,plain,
% 134.62/85.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB180, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB181, bitIndex0))),
% 134.62/85.30 inference(transitivity,[status(thm)],[1871, 1869])).
% 134.62/85.30 tff(1873,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB181, bitIndex0) | (~v84(constB180, bitIndex0)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1874,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB180, bitIndex0)) | v84(constB181, bitIndex0)),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1873, 1872])).
% 134.62/85.30 tff(1875,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1874, 777, 795, 1434, 1446, 1637, 1868])).
% 134.62/85.30 tff(1876,plain,(v84(constB181, bitIndex0) | (~v84(constB180, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1877,plain,
% 134.62/85.30 (v84(constB181, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1876, 1867])).
% 134.62/85.30 tff(1878,assumption,(v84(constB181, bitIndex0)), introduced(assumption)).
% 134.62/85.30 tff(1879,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[871, 865, 855, 1471, 1065, 1878])).
% 134.62/85.30 tff(1880,plain,(v145(constB181) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1881,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1880, 1877, 1501, 855, 1491])).
% 134.62/85.30 tff(1882,plain,(v84(constB180, bitIndex1) | v145(constB181) | v84(constB180, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1883,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1882, 1480, 1455, 855])).
% 134.62/85.30 tff(1884,plain,((~v113(constB181)) | v145(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1885,plain,
% 134.62/85.30 (~v113(constB181)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1884, 1428])).
% 134.62/85.30 tff(1886,assumption,(~v84(constB183, bitIndex0)), introduced(assumption)).
% 134.62/85.30 tff(1887,plain,
% 134.62/85.30 (v84(constB183, bitIndex2)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1303, 1261, 1243])).
% 134.62/85.30 tff(1888,plain,
% 134.62/85.30 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB183) | (~v172(constB183)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB183) | (~v172(constB183)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1889,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB183) | (~v172(constB183)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1890,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB183) | (~v172(constB183))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 134.62/85.30 tff(1891,plain,
% 134.62/85.30 (~v172(constB183)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1890, 1033, 1243])).
% 134.62/85.30 tff(1892,plain,
% 134.62/85.30 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1893,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1894,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v172(constB183)),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 134.62/85.30 tff(1895,plain,
% 134.62/85.30 (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2))),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1894, 1047, 1891])).
% 134.62/85.30 tff(1896,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1895, 1887, 1261, 1886])).
% 134.62/85.30 tff(1897,plain,(v84(constB183, bitIndex1) | v84(constB183, bitIndex0) | v109(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1898,plain,
% 134.62/85.30 (v84(constB183, bitIndex1)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1897, 1886, 1243])).
% 134.62/85.30 tff(1899,assumption,(~v119(constB183)), introduced(assumption)).
% 134.62/85.30 tff(1900,plain,
% 134.62/85.30 (v84(constB183, bitIndex2)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1323, 1243])).
% 134.62/85.30 tff(1901,plain,
% 134.62/85.30 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)))),
% 134.62/85.30 inference(bind,[status(th)],[])).
% 134.62/85.30 tff(1902,plain,
% 134.62/85.30 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 134.62/85.30 inference(quant_intro,[status(thm)],[1901])).
% 134.62/85.30 tff(1903,plain,
% 134.62/85.30 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1904,plain,
% 134.62/85.30 (^[VarCurr: $i] : trans(monotonicity(rewrite(((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) <=> ((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))), ((((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> (((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) | v84(VarCurr, bitIndex0)))), rewrite((((~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr)) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))), ((((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))))),
% 134.62/85.30 inference(bind,[status(th)],[])).
% 134.62/85.30 tff(1905,plain,
% 134.62/85.30 (![VarCurr: $i] : (((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 134.62/85.30 inference(quant_intro,[status(thm)],[1904])).
% 134.62/85.30 tff(1906,axiom,(![VarCurr: $i] : (((v119(VarCurr) | (~v84(VarCurr, bitIndex2))) | (~v84(VarCurr, bitIndex1))) | v84(VarCurr, bitIndex0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_1')).
% 134.62/85.30 tff(1907,plain,
% 134.62/85.30 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 134.62/85.30 tff(1908,plain,
% 134.62/85.30 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1907, 1903])).
% 134.62/85.30 tff(1909,plain,(
% 134.62/85.30 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 134.62/85.30 inference(skolemize,[status(sab)],[1908])).
% 134.62/85.30 tff(1910,plain,
% 134.62/85.30 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1909, 1902])).
% 134.62/85.30 tff(1911,plain,
% 134.62/85.30 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB183) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB183) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1912,plain,
% 134.62/85.30 ((v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2)) | v119(constB183)) <=> (v119(constB183) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1913,plain,
% 134.62/85.30 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2)) | v119(constB183))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB183) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2))))),
% 134.62/85.30 inference(monotonicity,[status(thm)],[1912])).
% 134.62/85.30 tff(1914,plain,
% 134.62/85.30 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2)) | v119(constB183))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB183) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2)))),
% 134.62/85.30 inference(transitivity,[status(thm)],[1913, 1911])).
% 134.62/85.30 tff(1915,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2)) | v119(constB183))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1916,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB183) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1)) | (~v84(constB183, bitIndex2))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 134.62/85.30 tff(1917,plain,
% 134.62/85.30 (v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1))),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1916, 1910, 1900, 1899])).
% 134.62/85.30 tff(1918,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1917, 1898, 1886])).
% 134.62/85.30 tff(1919,plain,(v84(constB183, bitIndex0) | v119(constB183) | v109(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1920,plain,
% 134.62/85.30 (v119(constB183)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1919, 1242, 1886])).
% 134.62/85.30 tff(1921,plain,
% 134.62/85.30 (^[VarCurr: $i] : refl((v107(VarCurr) | (~v119(VarCurr))) <=> (v107(VarCurr) | (~v119(VarCurr))))),
% 134.62/85.30 inference(bind,[status(th)],[])).
% 134.62/85.30 tff(1922,plain,
% 134.62/85.30 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 134.62/85.30 inference(quant_intro,[status(thm)],[1921])).
% 134.62/85.30 tff(1923,plain,
% 134.62/85.30 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1924,axiom,(![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_24_1_1')).
% 134.62/85.30 tff(1925,plain,
% 134.62/85.30 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1924, 1923])).
% 134.62/85.30 tff(1926,plain,(
% 134.62/85.30 ![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 134.62/85.30 inference(skolemize,[status(sab)],[1925])).
% 134.62/85.30 tff(1927,plain,
% 134.62/85.30 (![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1926, 1922])).
% 134.62/85.30 tff(1928,plain,
% 134.62/85.30 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB183) | (~v119(constB183)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB183) | (~v119(constB183)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1929,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB183) | (~v119(constB183)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1930,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB183) | (~v119(constB183))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 134.62/85.30 tff(1931,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1930, 1927, 1227, 1920])).
% 134.62/85.30 tff(1932,plain,(v107(constB183) | v84(constB183, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1933,plain,
% 134.62/85.30 (v84(constB183, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1932, 1227])).
% 134.62/85.30 tff(1934,assumption,(~v84(constB182, bitIndex0)), introduced(assumption)).
% 134.62/85.30 tff(1935,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[808, 805, 795, 732, 764, 1934, 1278])).
% 134.62/85.30 tff(1936,plain,((~v84(constB183, bitIndex0)) | v84(constB182, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1937,plain,
% 134.62/85.30 (v84(constB182, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1936, 1933])).
% 134.62/85.30 tff(1938,plain,
% 134.62/85.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB183) | (~v118(constB183)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB183) | (~v118(constB183)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1939,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB183) | (~v118(constB183)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1940,plain,
% 134.62/85.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB183) | (~v118(constB183))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 134.62/85.30 tff(1941,plain,
% 134.62/85.30 (~v118(constB183)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1940, 1004, 1234])).
% 134.62/85.30 tff(1942,assumption,(~v118(constB183)), introduced(assumption)).
% 134.62/85.30 tff(1943,plain,
% 134.62/85.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183) | (~v84(constB183, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183) | (~v84(constB183, bitIndex0)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1944,plain,
% 134.62/85.30 (((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183)) <=> (v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183) | (~v84(constB183, bitIndex0)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1945,plain,
% 134.62/85.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183) | (~v84(constB183, bitIndex0))))),
% 134.62/85.30 inference(monotonicity,[status(thm)],[1944])).
% 134.62/85.30 tff(1946,plain,
% 134.62/85.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183) | (~v84(constB183, bitIndex0)))),
% 134.62/85.30 inference(transitivity,[status(thm)],[1945, 1943])).
% 134.62/85.30 tff(1947,plain,
% 134.62/85.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB183, bitIndex0)) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1948,plain,
% 134.62/85.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | v118(constB183) | (~v84(constB183, bitIndex0))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 134.62/85.30 tff(1949,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1948, 1018, 1278, 1325, 1261, 1942])).
% 134.62/85.30 tff(1950,plain,(v118(constB183) | (~v84(constB183, bitIndex0)) | (~v84(constB183, bitIndex2)) | v84(constB183, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1951,plain,
% 134.62/85.30 (v84(constB183, bitIndex1)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1950, 1941, 1933, 1324])).
% 134.62/85.30 tff(1952,plain,
% 134.62/85.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB182, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB182, bitIndex1))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1953,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB182, bitIndex1))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1954,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB182, bitIndex1)),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 134.62/85.30 tff(1955,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1954, 805, 823, 732, 764, 828, 1305])).
% 134.62/85.30 tff(1956,plain,((~v84(constB183, bitIndex1)) | v84(constB182, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1957,plain,
% 134.62/85.30 (v84(constB182, bitIndex1)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1956, 1951])).
% 134.62/85.30 tff(1958,assumption,(v84(constB182, bitIndex1)), introduced(assumption)).
% 134.62/85.30 tff(1959,plain,
% 134.62/85.30 (v94(constB182) | v84(constB181, bitIndex1)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1063, 805, 823, 531, 1958])).
% 134.62/85.30 tff(1960,plain,
% 134.62/85.30 (v94(constB182)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1959, 1471])).
% 134.62/85.30 tff(1961,plain,
% 134.62/85.30 (v123(constB182, bitIndex2)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1349, 1960, 1333])).
% 134.62/85.30 tff(1962,plain,
% 134.62/85.30 (v121(constB181, bitIndex2)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1367, 1961])).
% 134.62/85.30 tff(1963,plain,
% 134.62/85.30 (v124(constB181, bitIndex2)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1403, 1962])).
% 134.62/85.30 tff(1964,plain,
% 134.62/85.30 (~v145(constB181)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1427, 1963])).
% 134.62/85.30 tff(1965,plain,
% 134.62/85.30 (~v113(constB181)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1884, 1964])).
% 134.62/85.30 tff(1966,plain,
% 134.62/85.30 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB182)) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB182)) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1967,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB182)) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1968,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB182)) | (~v84(constB182, bitIndex0)) | v123(constB182, bitIndex0)),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 134.62/85.30 tff(1969,plain,
% 134.62/85.30 ((~v94(constB182)) | v123(constB182, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1968, 1344, 795, 837])).
% 134.62/85.30 tff(1970,plain,
% 134.62/85.30 (v123(constB182, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1969, 1960])).
% 134.62/85.30 tff(1971,assumption,(~v121(constB181, bitIndex0)), introduced(assumption)).
% 134.62/85.30 tff(1972,assumption,(v123(constB182, bitIndex0)), introduced(assumption)).
% 134.62/85.30 tff(1973,plain,
% 134.62/85.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex0)) | (~v123(constB182, bitIndex0)) | v121(constB181, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex0)) | (~v123(constB182, bitIndex0)) | v121(constB181, bitIndex0))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1974,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex0)) | (~v123(constB182, bitIndex0)) | v121(constB181, bitIndex0))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1975,plain,
% 134.62/85.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex0)) | (~v123(constB182, bitIndex0)) | v121(constB181, bitIndex0)),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1974, 1973])).
% 134.62/85.30 tff(1976,plain,
% 134.62/85.30 ($false),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1975, 1362, 795, 531, 1972, 1971])).
% 134.62/85.30 tff(1977,plain,((~v123(constB182, bitIndex0)) | v121(constB181, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.30 tff(1978,plain,
% 134.62/85.30 (v121(constB181, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1977, 1970])).
% 134.62/85.30 tff(1979,plain,
% 134.62/85.30 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))),
% 134.62/85.30 inference(rewrite,[status(thm)],[])).
% 134.62/85.30 tff(1980,plain,
% 134.62/85.30 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0)))),
% 134.62/85.30 inference(quant_inst,[status(thm)],[])).
% 134.62/85.30 tff(1981,plain,
% 134.62/85.30 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex0)) | v124(constB181, bitIndex0) | (~v121(constB181, bitIndex0))),
% 134.62/85.30 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 134.62/85.30 tff(1982,plain,
% 134.62/85.30 (v124(constB181, bitIndex0)),
% 134.62/85.30 inference(unit_resolution,[status(thm)],[1981, 1380, 795, 1175, 1978])).
% 134.62/85.30 tff(1983,assumption,(v124(constB181, bitIndex0)), introduced(assumption)).
% 134.62/85.31 tff(1984,assumption,(v172(constB181)), introduced(assumption)).
% 134.62/85.31 tff(1985,plain,
% 134.62/85.31 (^[B: $i, VarCurr: $i] : refl(((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B)) <=> ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B)))),
% 134.62/85.31 inference(bind,[status(th)],[])).
% 134.62/85.31 tff(1986,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B)) <=> ![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))),
% 134.62/85.31 inference(quant_intro,[status(thm)],[1985])).
% 134.62/85.31 tff(1987,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B)) <=> ![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(1988,plain,
% 134.62/85.31 (^[B: $i, VarCurr: $i] : trans(monotonicity(rewrite(((b110(B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v124(VarCurr, B)) | b110(B))), ((((b110(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v172(VarCurr))) <=> (((~less_3(B)) | (~v124(VarCurr, B)) | b110(B)) | (~v172(VarCurr))))), rewrite((((~less_3(B)) | (~v124(VarCurr, B)) | b110(B)) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))), ((((b110(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v172(VarCurr))) <=> ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))))),
% 134.62/85.31 inference(bind,[status(th)],[])).
% 134.62/85.31 tff(1989,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : (((b110(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v172(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))),
% 134.62/85.31 inference(quant_intro,[status(thm)],[1988])).
% 134.62/85.31 tff(1990,axiom,(![B: $i, VarCurr: $i] : (((b110(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4_1_1_2')).
% 134.62/85.31 tff(1991,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 134.62/85.31 tff(1992,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[1991, 1987])).
% 134.62/85.31 tff(1993,plain,(
% 134.62/85.31 ![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))),
% 134.62/85.31 inference(skolemize,[status(sab)],[1992])).
% 134.62/85.31 tff(1994,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[1993, 1986])).
% 134.62/85.31 tff(1995,plain,
% 134.62/85.31 ((~b110(bitIndex0)) <=> (~b110(bitIndex0))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(1996,axiom,(~b110(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_18_1_1')).
% 134.62/85.31 tff(1997,plain,
% 134.62/85.31 (~b110(bitIndex0)),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 134.62/85.31 tff(1998,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB181)) | (~v124(constB181, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(1999,plain,
% 134.62/85.31 (((~v172(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2000,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB181)) | (~v124(constB181, bitIndex0))))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[1999])).
% 134.62/85.31 tff(2001,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2000, 1998])).
% 134.62/85.31 tff(2002,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b110(bitIndex0))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2003,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB181)) | (~v124(constB181, bitIndex0))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2002, 2001])).
% 134.62/85.31 tff(2004,plain,
% 134.62/85.31 ($false),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2003, 1997, 1994, 795, 1984, 1983])).
% 134.62/85.31 tff(2005,plain,((~v124(constB181, bitIndex0)) | (~v172(constB181))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.31 tff(2006,plain,
% 134.62/85.31 (~v172(constB181)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2005, 1982])).
% 134.62/85.31 tff(2007,plain,
% 134.62/85.31 ((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[1024, 1018, 1183])).
% 134.62/85.31 tff(2008,plain,
% 134.62/85.31 (~v84(constB181, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2007, 1878, 1471])).
% 134.62/85.31 tff(2009,plain,
% 134.62/85.31 ($false),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[872, 2008, 1878, 1471])).
% 134.62/85.31 tff(2010,plain,((~v84(constB181, bitIndex0)) | v84(constB181, bitIndex1) | v145(constB181) | v118(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.31 tff(2011,plain,
% 134.62/85.31 (~v84(constB181, bitIndex0)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2010, 1471, 855, 1183])).
% 134.62/85.31 tff(2012,plain,
% 134.62/85.31 ((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0) | v84(constB181, bitIndex1)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[1053, 1047, 1181])).
% 134.62/85.31 tff(2013,plain,
% 134.62/85.31 (~v84(constB181, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2012, 2011, 1471])).
% 134.62/85.31 tff(2014,plain,
% 134.62/85.31 (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[986, 983, 1182])).
% 134.62/85.31 tff(2015,plain,
% 134.62/85.31 ($false),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2014, 2013, 2011, 1471])).
% 134.62/85.31 tff(2016,plain,(v84(constB181, bitIndex1) | v113(constB181) | v172(constB181) | v145(constB181) | v118(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.31 tff(2017,plain,
% 134.62/85.31 (v118(constB181)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2016, 2006, 1471, 1964, 1965])).
% 134.62/85.31 tff(2018,plain,
% 134.62/85.31 (^[B: $i, VarCurr: $i] : refl(((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) <=> ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B)))),
% 134.62/85.31 inference(bind,[status(th)],[])).
% 134.62/85.31 tff(2019,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) <=> ![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.31 inference(quant_intro,[status(thm)],[2018])).
% 134.62/85.31 tff(2020,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) <=> ![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2021,plain,
% 134.62/85.31 (^[B: $i, VarCurr: $i] : trans(monotonicity(rewrite(((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v124(VarCurr, B)) | b011(B))), ((((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v118(VarCurr))) <=> (((~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) | (~v118(VarCurr))))), rewrite((((~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))), ((((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v118(VarCurr))) <=> ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))))),
% 134.62/85.31 inference(bind,[status(th)],[])).
% 134.62/85.31 tff(2022,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : (((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v118(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.31 inference(quant_intro,[status(thm)],[2021])).
% 134.62/85.31 tff(2023,axiom,(![B: $i, VarCurr: $i] : (((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5_1_2')).
% 134.62/85.31 tff(2024,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 134.62/85.31 tff(2025,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2024, 2020])).
% 134.62/85.31 tff(2026,plain,(
% 134.62/85.31 ![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.31 inference(skolemize,[status(sab)],[2025])).
% 134.62/85.31 tff(2027,plain,
% 134.62/85.31 (![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2026, 2019])).
% 134.62/85.31 tff(2028,plain,
% 134.62/85.31 ((~b011(bitIndex2)) <=> (~b011(bitIndex2))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2029,axiom,(~b011(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_11_1_1')).
% 134.62/85.31 tff(2030,plain,
% 134.62/85.31 (~b011(bitIndex2)),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 134.62/85.31 tff(2031,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB181)) | (~v124(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2032,plain,
% 134.62/85.31 (((~v118(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2033,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB181)) | (~v124(constB181, bitIndex2))))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[2032])).
% 134.62/85.31 tff(2034,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2033, 2031])).
% 134.62/85.31 tff(2035,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b011(bitIndex2))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2036,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB181)) | (~v124(constB181, bitIndex2))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2035, 2034])).
% 134.62/85.31 tff(2037,plain,
% 134.62/85.31 ($false),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2036, 2030, 2027, 767, 2017, 1963])).
% 134.62/85.31 tff(2038,plain,(v84(constB181, bitIndex1) | (~v84(constB182, bitIndex0)) | (~v84(constB182, bitIndex2)) | (~v84(constB182, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.31 tff(2039,plain,
% 134.62/85.31 (v84(constB181, bitIndex1)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2038, 1957, 1937, 1331])).
% 134.62/85.31 tff(2040,plain,
% 134.62/85.31 (~v109(constB183)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[1239, 669, 1235])).
% 134.62/85.31 tff(2041,plain,
% 134.62/85.31 ($false),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[780, 777, 767, 732, 764, 1333, 1252])).
% 134.62/85.31 tff(2042,plain,((~v84(constB182, bitIndex2)) | v84(constB183, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.31 tff(2043,plain,
% 134.62/85.31 (~v84(constB182, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2042, 1252])).
% 134.62/85.31 tff(2044,plain,
% 134.62/85.31 (~v84(constB183, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[1330, 846])).
% 134.62/85.31 tff(2045,plain,
% 134.62/85.31 (~v84(constB182, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[780, 777, 767, 732, 764, 1252])).
% 134.62/85.31 tff(2046,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB182)) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2047,plain,
% 134.62/85.31 (((~less_3(bitIndex2)) | (~v94(constB182)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2))) <=> ((~v94(constB182)) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2048,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB182)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB182)) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2))))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[2047])).
% 134.62/85.31 tff(2049,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB182)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2048, 2046])).
% 134.62/85.31 tff(2050,plain,
% 134.62/85.31 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB182)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2)))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2051,plain,
% 134.62/85.31 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex2)) | v84(constB182, bitIndex2) | (~v123(constB182, bitIndex2))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2050, 2049])).
% 134.62/85.31 tff(2052,plain,
% 134.62/85.31 (~v123(constB182, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2051, 1674, 767, 1334, 2045])).
% 134.62/85.31 tff(2053,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex2)) | v123(constB182, bitIndex2) | (~v121(constB181, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex2)) | v123(constB182, bitIndex2) | (~v121(constB181, bitIndex2)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2054,plain,
% 134.62/85.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex2)) | v123(constB182, bitIndex2) | (~v121(constB181, bitIndex2)))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2055,plain,
% 134.62/85.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex2)) | v123(constB182, bitIndex2) | (~v121(constB181, bitIndex2))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2054, 2053])).
% 134.62/85.31 tff(2056,plain,
% 134.62/85.31 (~v121(constB181, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2055, 1708, 767, 531, 2052])).
% 134.62/85.31 tff(2057,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex2)) | v121(constB181, bitIndex2) | (~v124(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex2)) | v121(constB181, bitIndex2) | (~v124(constB181, bitIndex2)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2058,plain,
% 134.62/85.31 ((v26(constB181) | v121(constB181, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2))) <=> (v26(constB181) | (~less_3(bitIndex2)) | v121(constB181, bitIndex2) | (~v124(constB181, bitIndex2)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2059,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex2)) | v121(constB181, bitIndex2) | (~v124(constB181, bitIndex2))))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[2058])).
% 134.62/85.31 tff(2060,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex2)) | v121(constB181, bitIndex2) | (~v124(constB181, bitIndex2)))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2059, 2057])).
% 134.62/85.31 tff(2061,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2062,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex2)) | v121(constB181, bitIndex2) | (~v124(constB181, bitIndex2))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 134.62/85.31 tff(2063,plain,
% 134.62/85.31 (~v124(constB181, bitIndex2)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2062, 1728, 767, 1175, 2056])).
% 134.62/85.31 tff(2064,plain,
% 134.62/85.31 (b110(bitIndex2) <=> b110(bitIndex2)),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2065,axiom,(b110(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_20_1')).
% 134.62/85.31 tff(2066,plain,
% 134.62/85.31 (b110(bitIndex2)),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 134.62/85.31 tff(2067,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB181)) | v124(constB181, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2068,plain,
% 134.62/85.31 (((~v172(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2069,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB181)) | v124(constB181, bitIndex2)))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[2068])).
% 134.62/85.31 tff(2070,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2069, 2067])).
% 134.62/85.31 tff(2071,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b110(bitIndex2)))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2072,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB181)) | v124(constB181, bitIndex2)),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 134.62/85.31 tff(2073,plain,
% 134.62/85.31 (~v172(constB181)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2072, 2066, 1798, 767, 2063])).
% 134.62/85.31 tff(2074,plain,
% 134.62/85.31 (~v84(constB182, bitIndex1)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[826, 777, 823, 732, 764, 1261])).
% 134.62/85.31 tff(2075,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB182)) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2076,plain,
% 134.62/85.31 (((~less_3(bitIndex1)) | (~v94(constB182)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1))) <=> ((~v94(constB182)) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2077,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB182)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB182)) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1))))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[2076])).
% 134.62/85.31 tff(2078,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB182)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2077, 2075])).
% 134.62/85.31 tff(2079,plain,
% 134.62/85.31 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB182)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2080,plain,
% 134.62/85.31 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex1)) | v84(constB182, bitIndex1) | (~v123(constB182, bitIndex1))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2079, 2078])).
% 134.62/85.31 tff(2081,plain,
% 134.62/85.31 (~v123(constB182, bitIndex1)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2080, 1674, 823, 1334, 2074])).
% 134.62/85.31 tff(2082,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v123(constB182, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v123(constB182, bitIndex1))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2083,plain,
% 134.62/85.31 (((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v123(constB182, bitIndex1) | (~v121(constB181, bitIndex1))) <=> ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v123(constB182, bitIndex1))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2084,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v123(constB182, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v123(constB182, bitIndex1)))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[2083])).
% 134.62/85.31 tff(2085,plain,
% 134.62/85.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v123(constB182, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v123(constB182, bitIndex1))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2084, 2082])).
% 134.62/85.31 tff(2086,plain,
% 134.62/85.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v123(constB182, bitIndex1) | (~v121(constB181, bitIndex1)))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2087,plain,
% 134.62/85.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v123(constB182, bitIndex1)),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2086, 2085])).
% 134.62/85.31 tff(2088,plain,
% 134.62/85.31 (~v121(constB181, bitIndex1)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2087, 1708, 823, 531, 2081])).
% 134.62/85.31 tff(2089,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v124(constB181, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v124(constB181, bitIndex1)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2090,plain,
% 134.62/85.31 ((v26(constB181) | v121(constB181, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1))) <=> (v26(constB181) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v124(constB181, bitIndex1)))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2091,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v124(constB181, bitIndex1))))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[2090])).
% 134.62/85.31 tff(2092,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v124(constB181, bitIndex1)))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2091, 2089])).
% 134.62/85.31 tff(2093,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2094,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v124(constB181, bitIndex1))),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2093, 2092])).
% 134.62/85.31 tff(2095,plain,
% 134.62/85.31 (~v124(constB181, bitIndex1)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2094, 1728, 823, 1175, 2088])).
% 134.62/85.31 tff(2096,assumption,(~v124(constB181, bitIndex1)), introduced(assumption)).
% 134.62/85.31 tff(2097,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB181)) | (~b010(bitIndex1)) | v124(constB181, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB181)) | (~b010(bitIndex1)) | v124(constB181, bitIndex1))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2098,plain,
% 134.62/85.31 (((~v145(constB181)) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB181)) | (~b010(bitIndex1)) | v124(constB181, bitIndex1))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2099,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB181)) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB181)) | (~b010(bitIndex1)) | v124(constB181, bitIndex1)))),
% 134.62/85.31 inference(monotonicity,[status(thm)],[2098])).
% 134.62/85.31 tff(2100,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB181)) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB181)) | (~b010(bitIndex1)) | v124(constB181, bitIndex1))),
% 134.62/85.31 inference(transitivity,[status(thm)],[2099, 2097])).
% 134.62/85.31 tff(2101,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB181)) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~b010(bitIndex1)))),
% 134.62/85.31 inference(quant_inst,[status(thm)],[])).
% 134.62/85.31 tff(2102,plain,
% 134.62/85.31 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB181)) | (~b010(bitIndex1)) | v124(constB181, bitIndex1)),
% 134.62/85.31 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 134.62/85.31 tff(2103,plain,
% 134.62/85.31 ($false),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2102, 1821, 1818, 823, 1406, 2096])).
% 134.62/85.31 tff(2104,plain,(v124(constB181, bitIndex1) | (~v145(constB181))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.31 tff(2105,plain,
% 134.62/85.31 (~v145(constB181)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[2104, 2095])).
% 134.62/85.31 tff(2106,plain,
% 134.62/85.31 (~v118(constB181)),
% 134.62/85.31 inference(unit_resolution,[status(thm)],[1154, 1148, 1145, 795, 927])).
% 134.62/85.31 tff(2107,plain,
% 134.62/85.31 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB181)) | v124(constB181, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.31 inference(rewrite,[status(thm)],[])).
% 134.62/85.31 tff(2108,plain,
% 134.62/85.31 (((~v116(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2109,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB181)) | v124(constB181, bitIndex2)))),
% 134.62/85.32 inference(monotonicity,[status(thm)],[2108])).
% 134.62/85.32 tff(2110,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.32 inference(transitivity,[status(thm)],[2109, 2107])).
% 134.62/85.32 tff(2111,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b100(bitIndex2)))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2112,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB181)) | v124(constB181, bitIndex2)),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 134.62/85.32 tff(2113,plain,
% 134.62/85.32 (~v116(constB181)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2112, 1772, 1769, 767, 2063])).
% 134.62/85.32 tff(2114,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB181)) | v124(constB181, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2115,plain,
% 134.62/85.32 (((~v113(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2116,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB181)) | v124(constB181, bitIndex2)))),
% 134.62/85.32 inference(monotonicity,[status(thm)],[2115])).
% 134.62/85.32 tff(2117,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB181)) | v124(constB181, bitIndex2))),
% 134.62/85.32 inference(transitivity,[status(thm)],[2116, 2114])).
% 134.62/85.32 tff(2118,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB181)) | (~less_3(bitIndex2)) | v124(constB181, bitIndex2) | (~b100(bitIndex2)))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2119,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB181)) | v124(constB181, bitIndex2)),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2118, 2117])).
% 134.62/85.32 tff(2120,plain,
% 134.62/85.32 (~v113(constB181)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2119, 1772, 1838, 767, 2063])).
% 134.62/85.32 tff(2121,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1221, 2120, 2113, 927, 1200, 2106, 2105, 2073])).
% 134.62/85.32 tff(2122,plain,(v84(constB183, bitIndex1) | v124(constB181, bitIndex0) | (~v94(constB182)) | v84(constB183, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2123,plain,
% 134.62/85.32 (v84(constB183, bitIndex1)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2122, 2044, 927, 1226])).
% 134.62/85.32 tff(2124,plain,
% 134.62/85.32 (v84(constB182, bitIndex1)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1956, 2123])).
% 134.62/85.32 tff(2125,assumption,(~v123(constB182, bitIndex1)), introduced(assumption)).
% 134.62/85.32 tff(2126,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB182)) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB182)) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2127,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB182)) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2128,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB182)) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1)),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 134.62/85.32 tff(2129,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2128, 1344, 823, 1334, 1958, 2125])).
% 134.62/85.32 tff(2130,plain,(v123(constB182, bitIndex1) | (~v94(constB182)) | (~v84(constB182, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2131,plain,
% 134.62/85.32 (v123(constB182, bitIndex1)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2130, 2124, 1226])).
% 134.62/85.32 tff(2132,assumption,(v123(constB182, bitIndex1)), introduced(assumption)).
% 134.62/85.32 tff(2133,assumption,(~v121(constB181, bitIndex1)), introduced(assumption)).
% 134.62/85.32 tff(2134,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2135,plain,
% 134.62/85.32 (((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v123(constB182, bitIndex1)) | v121(constB181, bitIndex1)) <=> ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2136,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v123(constB182, bitIndex1)) | v121(constB181, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))))),
% 134.62/85.32 inference(monotonicity,[status(thm)],[2135])).
% 134.62/85.32 tff(2137,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v123(constB182, bitIndex1)) | v121(constB181, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1)))),
% 134.62/85.32 inference(transitivity,[status(thm)],[2136, 2134])).
% 134.62/85.32 tff(2138,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | (~v123(constB182, bitIndex1)) | v121(constB181, bitIndex1))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2139,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex1)) | v121(constB181, bitIndex1) | (~v123(constB182, bitIndex1))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 134.62/85.32 tff(2140,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2139, 1362, 823, 531, 2133, 2132])).
% 134.62/85.32 tff(2141,plain,((~v123(constB182, bitIndex1)) | v121(constB181, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2142,plain,
% 134.62/85.32 (v121(constB181, bitIndex1)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2141, 2131])).
% 134.62/85.32 tff(2143,assumption,(v121(constB181, bitIndex1)), introduced(assumption)).
% 134.62/85.32 tff(2144,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2145,plain,
% 134.62/85.32 ((v26(constB181) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1))) <=> (v26(constB181) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2146,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1)))),
% 134.62/85.32 inference(monotonicity,[status(thm)],[2145])).
% 134.62/85.32 tff(2147,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1))),
% 134.62/85.32 inference(transitivity,[status(thm)],[2146, 2144])).
% 134.62/85.32 tff(2148,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~v121(constB181, bitIndex1)))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2149,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex1)) | (~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1)),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2148, 2147])).
% 134.62/85.32 tff(2150,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2149, 1380, 823, 1175, 2096, 2143])).
% 134.62/85.32 tff(2151,plain,((~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2152,plain,
% 134.62/85.32 (v124(constB181, bitIndex1)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2151, 2142])).
% 134.62/85.32 tff(2153,assumption,(v124(constB181, bitIndex1)), introduced(assumption)).
% 134.62/85.32 tff(2154,assumption,(v116(constB181)), introduced(assumption)).
% 134.62/85.32 tff(2155,plain,
% 134.62/85.32 (^[B: $i, VarCurr: $i] : refl(((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) <=> ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B)))),
% 134.62/85.32 inference(bind,[status(th)],[])).
% 134.62/85.32 tff(2156,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) <=> ![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(quant_intro,[status(thm)],[2155])).
% 134.62/85.32 tff(2157,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) <=> ![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2158,plain,
% 134.62/85.32 (^[B: $i, VarCurr: $i] : trans(monotonicity(rewrite(((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v124(VarCurr, B)) | b100(B))), ((((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v116(VarCurr))) <=> (((~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) | (~v116(VarCurr))))), rewrite((((~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))), ((((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v116(VarCurr))) <=> ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))))),
% 134.62/85.32 inference(bind,[status(th)],[])).
% 134.62/85.32 tff(2159,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : (((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v116(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(quant_intro,[status(thm)],[2158])).
% 134.62/85.32 tff(2160,axiom,(![B: $i, VarCurr: $i] : (((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3_1_2')).
% 134.62/85.32 tff(2161,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2160, 2159])).
% 134.62/85.32 tff(2162,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2161, 2157])).
% 134.62/85.32 tff(2163,plain,(
% 134.62/85.32 ![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(skolemize,[status(sab)],[2162])).
% 134.62/85.32 tff(2164,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2163, 2156])).
% 134.62/85.32 tff(2165,plain,
% 134.62/85.32 ((~b100(bitIndex1)) <=> (~b100(bitIndex1))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2166,axiom,(~b100(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_13_1_1')).
% 134.62/85.32 tff(2167,plain,
% 134.62/85.32 (~b100(bitIndex1)),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 134.62/85.32 tff(2168,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB181)) | (~v124(constB181, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB181)) | (~v124(constB181, bitIndex1)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2169,plain,
% 134.62/85.32 (((~v116(constB181)) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB181)) | (~v124(constB181, bitIndex1)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2170,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB181)) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB181)) | (~v124(constB181, bitIndex1))))),
% 134.62/85.32 inference(monotonicity,[status(thm)],[2169])).
% 134.62/85.32 tff(2171,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB181)) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB181)) | (~v124(constB181, bitIndex1)))),
% 134.62/85.32 inference(transitivity,[status(thm)],[2170, 2168])).
% 134.62/85.32 tff(2172,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB181)) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)) | b100(bitIndex1))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2173,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB181)) | (~v124(constB181, bitIndex1))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2172, 2171])).
% 134.62/85.32 tff(2174,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2173, 2167, 2164, 823, 2154, 2153])).
% 134.62/85.32 tff(2175,plain,((~v116(constB181)) | (~v124(constB181, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2176,plain,
% 134.62/85.32 (~v116(constB181)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2175, 2152])).
% 134.62/85.32 tff(2177,plain,
% 134.62/85.32 (^[B: $i, VarCurr: $i] : refl(((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) <=> ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B)))),
% 134.62/85.32 inference(bind,[status(th)],[])).
% 134.62/85.32 tff(2178,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) <=> ![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(quant_intro,[status(thm)],[2177])).
% 134.62/85.32 tff(2179,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) <=> ![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2180,plain,
% 134.62/85.32 (^[B: $i, VarCurr: $i] : trans(monotonicity(rewrite(((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v124(VarCurr, B)) | b100(B))), ((((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v113(VarCurr))) <=> (((~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) | (~v113(VarCurr))))), rewrite((((~less_3(B)) | (~v124(VarCurr, B)) | b100(B)) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))), ((((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v113(VarCurr))) <=> ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))))),
% 134.62/85.32 inference(bind,[status(th)],[])).
% 134.62/85.32 tff(2181,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : (((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v113(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(quant_intro,[status(thm)],[2180])).
% 134.62/85.32 tff(2182,axiom,(![B: $i, VarCurr: $i] : (((b100(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0_2_2')).
% 134.62/85.32 tff(2183,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 134.62/85.32 tff(2184,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2183, 2179])).
% 134.62/85.32 tff(2185,plain,(
% 134.62/85.32 ![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(skolemize,[status(sab)],[2184])).
% 134.62/85.32 tff(2186,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2185, 2178])).
% 134.62/85.32 tff(2187,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB181)) | (~v124(constB181, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB181)) | (~v124(constB181, bitIndex1)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2188,plain,
% 134.62/85.32 (((~v113(constB181)) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB181)) | (~v124(constB181, bitIndex1)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2189,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB181)) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB181)) | (~v124(constB181, bitIndex1))))),
% 134.62/85.32 inference(monotonicity,[status(thm)],[2188])).
% 134.62/85.32 tff(2190,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB181)) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB181)) | (~v124(constB181, bitIndex1)))),
% 134.62/85.32 inference(transitivity,[status(thm)],[2189, 2187])).
% 134.62/85.32 tff(2191,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB181)) | (~less_3(bitIndex1)) | (~v124(constB181, bitIndex1)) | b100(bitIndex1))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2192,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB181)) | (~v124(constB181, bitIndex1))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2191, 2190])).
% 134.62/85.32 tff(2193,plain,
% 134.62/85.32 (~v113(constB181)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2192, 2167, 2186, 823, 2152])).
% 134.62/85.32 tff(2194,plain,
% 134.62/85.32 (v172(constB181)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1223, 2193, 927, 1157, 855, 2176])).
% 134.62/85.32 tff(2195,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2072, 2066, 1798, 767, 1984, 1370])).
% 134.62/85.32 tff(2196,plain,(v124(constB181, bitIndex2) | (~v172(constB181))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2197,plain,
% 134.62/85.32 (v124(constB181, bitIndex2)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2196, 2194])).
% 134.62/85.32 tff(2198,plain,
% 134.62/85.32 (v121(constB181, bitIndex2)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2062, 1728, 767, 1175, 2197])).
% 134.62/85.32 tff(2199,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2055, 1708, 767, 531, 1369, 1332])).
% 134.62/85.32 tff(2200,plain,(v123(constB182, bitIndex2) | (~v121(constB181, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2201,plain,
% 134.62/85.32 (v123(constB182, bitIndex2)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2200, 2198])).
% 134.62/85.32 tff(2202,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2051, 1674, 767, 1226, 846, 2201])).
% 134.62/85.32 tff(2203,plain,(v84(constB182, bitIndex2) | v124(constB181, bitIndex0) | v145(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2204,plain,
% 134.62/85.32 (v124(constB181, bitIndex0)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2203, 2043, 855])).
% 134.62/85.32 tff(2205,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2206,plain,
% 134.62/85.32 ((v26(constB181) | v121(constB181, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0))) <=> (v26(constB181) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2207,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0)))),
% 134.62/85.32 inference(monotonicity,[status(thm)],[2206])).
% 134.62/85.32 tff(2208,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0))),
% 134.62/85.32 inference(transitivity,[status(thm)],[2207, 2205])).
% 134.62/85.32 tff(2209,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB181) | v121(constB181, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2210,plain,
% 134.62/85.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB181) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | v121(constB181, bitIndex0)),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2209, 2208])).
% 134.62/85.32 tff(2211,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2210, 1728, 795, 1175, 1983, 1971])).
% 134.62/85.32 tff(2212,plain,(v121(constB181, bitIndex0) | (~v124(constB181, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2213,plain,
% 134.62/85.32 (v121(constB181, bitIndex0)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2212, 2204])).
% 134.62/85.32 tff(2214,plain,
% 134.62/85.32 (v94(constB182)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1107, 2043])).
% 134.62/85.32 tff(2215,plain,
% 134.62/85.32 (v84(constB183, bitIndex1)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1303, 1252, 1243])).
% 134.62/85.32 tff(2216,plain,
% 134.62/85.32 ((~v84(constB183, bitIndex1)) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0))),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1293, 1076, 1312])).
% 134.62/85.32 tff(2217,plain,
% 134.62/85.32 (~v84(constB183, bitIndex0)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2216, 1252, 2215])).
% 134.62/85.32 tff(2218,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex0)) | v84(constB183, bitIndex0) | (~v84(constB182, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex0)) | v84(constB183, bitIndex0) | (~v84(constB182, bitIndex0)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2219,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex0)) | v84(constB183, bitIndex0) | (~v84(constB182, bitIndex0)))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2220,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB182, constB183)) | v94(constB183) | (~less_3(bitIndex0)) | v84(constB183, bitIndex0) | (~v84(constB182, bitIndex0))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 134.62/85.32 tff(2221,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2220, 777, 795, 732, 764, 837, 1886])).
% 134.62/85.32 tff(2222,plain,(v84(constB183, bitIndex0) | (~v84(constB182, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2223,plain,
% 134.62/85.32 (~v84(constB182, bitIndex0)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2222, 2217])).
% 134.62/85.32 tff(2224,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB182)) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2225,plain,
% 134.62/85.32 (((~less_3(bitIndex0)) | (~v94(constB182)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0))) <=> ((~v94(constB182)) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2226,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB182)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB182)) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0))))),
% 134.62/85.32 inference(monotonicity,[status(thm)],[2225])).
% 134.62/85.32 tff(2227,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB182)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)))),
% 134.62/85.32 inference(transitivity,[status(thm)],[2226, 2224])).
% 134.62/85.32 tff(2228,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB182)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0)))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2229,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB182)) | (~less_3(bitIndex0)) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2228, 2227])).
% 134.62/85.32 tff(2230,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2229, 1674, 795, 1334, 1934, 1972])).
% 134.62/85.32 tff(2231,plain,(v84(constB182, bitIndex0) | (~v94(constB182)) | (~v123(constB182, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2232,plain,
% 134.62/85.32 (~v123(constB182, bitIndex0)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2231, 2223, 2214])).
% 134.62/85.32 tff(2233,assumption,(~v123(constB182, bitIndex0)), introduced(assumption)).
% 134.62/85.32 tff(2234,assumption,(v121(constB181, bitIndex0)), introduced(assumption)).
% 134.62/85.32 tff(2235,plain,
% 134.62/85.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex0)) | v123(constB182, bitIndex0) | (~v121(constB181, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex0)) | v123(constB182, bitIndex0) | (~v121(constB181, bitIndex0)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2236,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB181, constB182)) | (~less_3(bitIndex0)) | v123(constB182, bitIndex0) | (~v121(constB181, bitIndex0)))),
% 134.62/85.32 inference(quant_inst,[status(thm)],[])).
% 134.62/85.32 tff(2237,plain,
% 134.62/85.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB181, constB182)) | (~less_3(bitIndex0)) | v123(constB182, bitIndex0) | (~v121(constB181, bitIndex0))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2236, 2235])).
% 134.62/85.32 tff(2238,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2237, 1708, 795, 531, 2234, 2233])).
% 134.62/85.32 tff(2239,plain,(v123(constB182, bitIndex0) | (~v121(constB181, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2240,plain,
% 134.62/85.32 ($false),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2239, 2232, 2213])).
% 134.62/85.32 tff(2241,plain,(v84(constB183, bitIndex2) | v145(constB181) | v109(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.32 tff(2242,plain,
% 134.62/85.32 (v84(constB183, bitIndex2)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[2241, 2040, 855])).
% 134.62/85.32 tff(2243,plain,
% 134.62/85.32 (v84(constB182, bitIndex2)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1330, 2242])).
% 134.62/85.32 tff(2244,plain,
% 134.62/85.32 (v94(constB182)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[996, 805, 767, 531, 2243, 1065])).
% 134.62/85.32 tff(2245,plain,
% 134.62/85.32 (v123(constB182, bitIndex2)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1347, 1344, 767, 2244, 2243])).
% 134.62/85.32 tff(2246,plain,
% 134.62/85.32 (v121(constB181, bitIndex2)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1367, 2245])).
% 134.62/85.32 tff(2247,plain,
% 134.62/85.32 (v124(constB181, bitIndex2)),
% 134.62/85.32 inference(unit_resolution,[status(thm)],[1403, 2246])).
% 134.62/85.32 tff(2248,plain,
% 134.62/85.32 (^[B: $i, VarCurr: $i] : refl(((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) <=> ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B)))),
% 134.62/85.32 inference(bind,[status(th)],[])).
% 134.62/85.32 tff(2249,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) <=> ![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.32 inference(quant_intro,[status(thm)],[2248])).
% 134.62/85.32 tff(2250,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) <=> ![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2251,plain,
% 134.62/85.32 (^[B: $i, VarCurr: $i] : trans(monotonicity(rewrite(((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v124(VarCurr, B)) | b011(B))), ((((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v115(VarCurr))) <=> (((~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) | (~v115(VarCurr))))), rewrite((((~less_3(B)) | (~v124(VarCurr, B)) | b011(B)) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))), ((((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v115(VarCurr))) <=> ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))))),
% 134.62/85.32 inference(bind,[status(th)],[])).
% 134.62/85.32 tff(2252,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : (((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v115(VarCurr))) <=> ![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.32 inference(quant_intro,[status(thm)],[2251])).
% 134.62/85.32 tff(2253,axiom,(![B: $i, VarCurr: $i] : (((b011(B) | (~v124(VarCurr, B))) | (~less_3(B))) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2_1_2')).
% 134.62/85.32 tff(2254,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 134.62/85.32 tff(2255,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2254, 2250])).
% 134.62/85.32 tff(2256,plain,(
% 134.62/85.32 ![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.32 inference(skolemize,[status(sab)],[2255])).
% 134.62/85.32 tff(2257,plain,
% 134.62/85.32 (![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))),
% 134.62/85.32 inference(modus_ponens,[status(thm)],[2256, 2249])).
% 134.62/85.32 tff(2258,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB181)) | (~v124(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2259,plain,
% 134.62/85.32 (((~v115(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.32 inference(rewrite,[status(thm)],[])).
% 134.62/85.32 tff(2260,plain,
% 134.62/85.32 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB181)) | (~v124(constB181, bitIndex2))))),
% 134.62/85.33 inference(monotonicity,[status(thm)],[2259])).
% 134.62/85.33 tff(2261,plain,
% 134.62/85.33 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB181)) | (~v124(constB181, bitIndex2)))),
% 134.62/85.33 inference(transitivity,[status(thm)],[2260, 2258])).
% 134.62/85.33 tff(2262,plain,
% 134.62/85.33 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB181)) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b011(bitIndex2))),
% 134.62/85.33 inference(quant_inst,[status(thm)],[])).
% 134.62/85.33 tff(2263,plain,
% 134.62/85.33 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB181)) | (~v124(constB181, bitIndex2))),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 134.62/85.33 tff(2264,plain,
% 134.62/85.33 (~v115(constB181)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2263, 2030, 2257, 767, 2247])).
% 134.62/85.33 tff(2265,plain,
% 134.62/85.33 (v116(constB181)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1104, 2264, 1065, 950])).
% 134.62/85.33 tff(2266,plain,
% 134.62/85.33 (~v124(constB181, bitIndex1)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2175, 2265])).
% 134.62/85.33 tff(2267,plain,
% 134.62/85.33 (~v121(constB181, bitIndex1)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2151, 2266])).
% 134.62/85.33 tff(2268,plain,
% 134.62/85.33 (~v123(constB182, bitIndex1)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2141, 2267])).
% 134.62/85.33 tff(2269,plain,
% 134.62/85.33 (~v84(constB182, bitIndex1)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2130, 2268, 2244])).
% 134.62/85.33 tff(2270,plain,
% 134.62/85.33 (~v84(constB183, bitIndex1)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1956, 2269])).
% 134.62/85.33 tff(2271,plain,
% 134.62/85.33 (~v118(constB183)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1940, 1004, 1235])).
% 134.62/85.33 tff(2272,plain,
% 134.62/85.33 (v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2)) | (~v84(constB183, bitIndex0))),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1948, 1018, 2271])).
% 134.62/85.33 tff(2273,plain,
% 134.62/85.33 (~v84(constB183, bitIndex0)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2272, 2270, 2242])).
% 134.62/85.33 tff(2274,plain,
% 134.62/85.33 (~v172(constB183)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1890, 1033, 2040])).
% 134.62/85.33 tff(2275,plain,
% 134.62/85.33 (v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex2))),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1894, 1047, 2274])).
% 134.62/85.33 tff(2276,plain,
% 134.62/85.33 ($false),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2275, 2273, 2270, 2242])).
% 134.62/85.33 tff(2277,plain,(v108(constB183) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v145(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.33 tff(2278,plain,
% 134.62/85.33 (v84(constB181, bitIndex2)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2277, 2039, 1234, 1428])).
% 134.62/85.33 tff(2279,plain,
% 134.62/85.33 ($false),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1133, 1130, 1482, 2154])).
% 134.62/85.33 tff(2280,plain,((~v116(constB181)) | (~v84(constB181, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.33 tff(2281,plain,
% 134.62/85.33 (~v116(constB181)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2280, 2278])).
% 134.62/85.33 tff(2282,plain,
% 134.62/85.33 (v172(constB181)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1223, 2281, 927, 1428, 1157, 1885])).
% 134.62/85.33 tff(2283,plain,
% 134.62/85.33 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))))),
% 134.62/85.33 inference(bind,[status(th)],[])).
% 134.62/85.33 tff(2284,plain,
% 134.62/85.33 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 134.62/85.33 inference(quant_intro,[status(thm)],[2283])).
% 134.62/85.33 tff(2285,plain,
% 134.62/85.33 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2286,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_3')).
% 134.62/85.33 tff(2287,plain,
% 134.62/85.33 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 134.62/85.33 tff(2288,plain,(
% 134.62/85.33 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 134.62/85.33 inference(skolemize,[status(sab)],[2287])).
% 134.62/85.33 tff(2289,plain,
% 134.62/85.33 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2288, 2284])).
% 134.62/85.33 tff(2290,plain,
% 134.62/85.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v172(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v172(constB181)))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2291,plain,
% 134.62/85.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v172(constB181)))),
% 134.62/85.33 inference(quant_inst,[status(thm)],[])).
% 134.62/85.33 tff(2292,plain,
% 134.62/85.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v172(constB181))),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2291, 2290])).
% 134.62/85.33 tff(2293,plain,
% 134.62/85.33 ($false),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2292, 2289, 2039, 2282])).
% 134.62/85.33 tff(2294,plain,(v107(constB183) | v124(constB181, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.33 tff(2295,plain,
% 134.62/85.33 (v124(constB181, bitIndex0)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2294, 926])).
% 134.62/85.33 tff(2296,plain,
% 134.62/85.33 (~v172(constB181)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2005, 2295])).
% 134.62/85.33 tff(2297,plain,
% 134.62/85.33 ((~b010(bitIndex0)) <=> (~b010(bitIndex0))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2298,axiom,(~b010(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_6_1_1')).
% 134.62/85.33 tff(2299,plain,
% 134.62/85.33 (~b010(bitIndex0)),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 134.62/85.33 tff(2300,plain,
% 134.62/85.33 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB181)) | (~v124(constB181, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2301,plain,
% 134.62/85.33 (((~v145(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2302,plain,
% 134.62/85.33 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB181)) | (~v124(constB181, bitIndex0))))),
% 134.62/85.33 inference(monotonicity,[status(thm)],[2301])).
% 134.62/85.33 tff(2303,plain,
% 134.62/85.33 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.62/85.33 inference(transitivity,[status(thm)],[2302, 2300])).
% 134.62/85.33 tff(2304,plain,
% 134.62/85.33 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b010(bitIndex0))),
% 134.62/85.33 inference(quant_inst,[status(thm)],[])).
% 134.62/85.33 tff(2305,plain,
% 134.62/85.33 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB181)) | (~v124(constB181, bitIndex0))),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2304, 2303])).
% 134.62/85.33 tff(2306,plain,
% 134.62/85.33 ($false),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2305, 2299, 1416, 795, 1406, 1983])).
% 134.62/85.33 tff(2307,plain,((~v124(constB181, bitIndex0)) | (~v145(constB181))), inference(lemma,lemma(discharge,[]))).
% 134.62/85.33 tff(2308,plain,
% 134.62/85.33 (~v145(constB181)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2307, 2295])).
% 134.62/85.33 tff(2309,plain,
% 134.62/85.33 (~v84(constB180, bitIndex1)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1479, 1471])).
% 134.62/85.33 tff(2310,plain,
% 134.62/85.33 (~v145(constB181)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2307, 1983])).
% 134.62/85.33 tff(2311,plain,
% 134.62/85.33 (v84(constB180, bitIndex2)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1882, 2310, 1492])).
% 134.62/85.33 tff(2312,plain,
% 134.62/85.33 (~v172(constB181)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2005, 1983])).
% 134.62/85.33 tff(2313,plain,
% 134.62/85.33 (v84(constB181, bitIndex2)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1454, 2311])).
% 134.62/85.33 tff(2314,plain,
% 134.62/85.33 (v84(constB181, bitIndex0)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1053, 1047, 1501, 2313, 2312])).
% 134.62/85.33 tff(2315,plain,
% 134.62/85.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB181, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB181, bitIndex0)))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2316,plain,
% 134.62/85.33 (((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB180, bitIndex0)) <=> ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB181, bitIndex0)))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2317,plain,
% 134.62/85.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB180, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB181, bitIndex0))))),
% 134.62/85.33 inference(monotonicity,[status(thm)],[2316])).
% 134.62/85.33 tff(2318,plain,
% 134.62/85.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB180, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB181, bitIndex0)))),
% 134.62/85.33 inference(transitivity,[status(thm)],[2317, 2315])).
% 134.62/85.33 tff(2319,plain,
% 134.62/85.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | (~v84(constB181, bitIndex0)) | v84(constB180, bitIndex0))),
% 134.62/85.33 inference(quant_inst,[status(thm)],[])).
% 134.62/85.33 tff(2320,plain,
% 134.62/85.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB180, constB181)) | v94(constB181) | (~less_3(bitIndex0)) | v84(constB180, bitIndex0) | (~v84(constB181, bitIndex0))),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2319, 2318])).
% 134.62/85.33 tff(2321,plain,
% 134.62/85.33 ($false),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2320, 805, 795, 1434, 1446, 1502, 1878])).
% 134.62/85.33 tff(2322,plain,((~v84(constB181, bitIndex0)) | v84(constB180, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.62/85.33 tff(2323,plain,
% 134.62/85.33 (v84(constB180, bitIndex0)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2322, 2314])).
% 134.62/85.33 tff(2324,assumption,(~v145(constB180)), introduced(assumption)).
% 134.62/85.33 tff(2325,plain,
% 134.62/85.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | (~v84(constB180, bitIndex0)) | v145(constB180))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | (~v84(constB180, bitIndex0)) | v145(constB180))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2326,plain,
% 134.62/85.33 (((~v84(constB180, bitIndex0)) | v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | v145(constB180)) <=> (v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | (~v84(constB180, bitIndex0)) | v145(constB180))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2327,plain,
% 134.62/85.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB180, bitIndex0)) | v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | v145(constB180))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | (~v84(constB180, bitIndex0)) | v145(constB180)))),
% 134.62/85.33 inference(monotonicity,[status(thm)],[2326])).
% 134.62/85.33 tff(2328,plain,
% 134.62/85.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB180, bitIndex0)) | v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | v145(constB180))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | (~v84(constB180, bitIndex0)) | v145(constB180))),
% 134.62/85.33 inference(transitivity,[status(thm)],[2327, 2325])).
% 134.62/85.33 tff(2329,plain,
% 134.62/85.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB180, bitIndex0)) | v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | v145(constB180))),
% 134.62/85.33 inference(quant_inst,[status(thm)],[])).
% 134.62/85.33 tff(2330,plain,
% 134.62/85.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB180, bitIndex1) | v84(constB180, bitIndex2) | (~v84(constB180, bitIndex0)) | v145(constB180)),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2329, 2328])).
% 134.62/85.33 tff(2331,plain,
% 134.62/85.33 (v84(constB180, bitIndex2) | (~v84(constB180, bitIndex0)) | v145(constB180)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2330, 865, 1492])).
% 134.62/85.33 tff(2332,plain,
% 134.62/85.33 (v84(constB180, bitIndex2)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2331, 1637, 2324])).
% 134.62/85.33 tff(2333,plain,
% 134.62/85.33 (v94(constB180)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[1649, 2332, 1637, 1492])).
% 134.62/85.33 tff(2334,plain,
% 134.62/85.33 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB180)) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB180)) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2335,plain,
% 134.62/85.33 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB180)) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2))),
% 134.62/85.33 inference(quant_inst,[status(thm)],[])).
% 134.62/85.33 tff(2336,plain,
% 134.62/85.33 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB180)) | (~v84(constB180, bitIndex2)) | v123(constB180, bitIndex2)),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 134.62/85.33 tff(2337,plain,
% 134.62/85.33 ((~v94(constB180)) | v123(constB180, bitIndex2)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2336, 1344, 767, 2332])).
% 134.62/85.33 tff(2338,plain,
% 134.62/85.33 (v123(constB180, bitIndex2)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2337, 2333])).
% 134.62/85.33 tff(2339,plain,
% 134.62/85.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2340,plain,
% 134.62/85.33 (((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v123(constB180, bitIndex2)) | v121(constB179, bitIndex2)) <=> ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2341,plain,
% 134.62/85.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v123(constB180, bitIndex2)) | v121(constB179, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2))))),
% 134.62/85.33 inference(monotonicity,[status(thm)],[2340])).
% 134.62/85.33 tff(2342,plain,
% 134.62/85.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v123(constB180, bitIndex2)) | v121(constB179, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2)))),
% 134.62/85.33 inference(transitivity,[status(thm)],[2341, 2339])).
% 134.62/85.33 tff(2343,plain,
% 134.62/85.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | (~v123(constB180, bitIndex2)) | v121(constB179, bitIndex2))),
% 134.62/85.33 inference(quant_inst,[status(thm)],[])).
% 134.62/85.33 tff(2344,plain,
% 134.62/85.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex2)) | v121(constB179, bitIndex2) | (~v123(constB180, bitIndex2))),
% 134.62/85.33 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 134.62/85.33 tff(2345,plain,
% 134.62/85.33 (v121(constB179, bitIndex2)),
% 134.62/85.33 inference(unit_resolution,[status(thm)],[2344, 1362, 767, 1506, 2338])).
% 134.62/85.33 tff(2346,plain,
% 134.62/85.33 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB180)) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB180)) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0))),
% 134.62/85.33 inference(rewrite,[status(thm)],[])).
% 134.62/85.33 tff(2347,plain,
% 134.62/85.33 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB180)) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0))),
% 134.62/85.33 inference(quant_inst,[status(thm)],[])).
% 134.62/85.33 tff(2348,plain,
% 134.62/85.33 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB180)) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0)),
% 134.69/85.33 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 134.69/85.33 tff(2349,plain,
% 134.69/85.33 ((~v94(constB180)) | v123(constB180, bitIndex0)),
% 134.69/85.33 inference(unit_resolution,[status(thm)],[2348, 1344, 795, 1637])).
% 134.69/85.33 tff(2350,plain,
% 134.69/85.33 (v123(constB180, bitIndex0)),
% 134.69/85.33 inference(unit_resolution,[status(thm)],[2349, 2333])).
% 134.69/85.33 tff(2351,plain,
% 134.69/85.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex0)) | (~v123(constB180, bitIndex0)) | v121(constB179, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex0)) | (~v123(constB180, bitIndex0)) | v121(constB179, bitIndex0))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2352,plain,
% 134.69/85.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex0)) | (~v123(constB180, bitIndex0)) | v121(constB179, bitIndex0))),
% 134.69/85.33 inference(quant_inst,[status(thm)],[])).
% 134.69/85.33 tff(2353,plain,
% 134.69/85.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex0)) | (~v123(constB180, bitIndex0)) | v121(constB179, bitIndex0)),
% 134.69/85.33 inference(modus_ponens,[status(thm)],[2352, 2351])).
% 134.69/85.33 tff(2354,plain,
% 134.69/85.33 (v121(constB179, bitIndex0)),
% 134.69/85.33 inference(unit_resolution,[status(thm)],[2353, 1362, 795, 1506, 2350])).
% 134.69/85.33 tff(2355,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB179)) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB179)) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2356,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB179)) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)))),
% 134.69/85.33 inference(quant_inst,[status(thm)],[])).
% 134.69/85.33 tff(2357,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB179)) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0))),
% 134.69/85.33 inference(modus_ponens,[status(thm)],[2356, 2355])).
% 134.69/85.33 tff(2358,plain,
% 134.69/85.33 (~v26(constB179)),
% 134.69/85.33 inference(unit_resolution,[status(thm)],[2357, 1398, 795, 2354])).
% 134.69/85.33 tff(2359,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2360,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2)))),
% 134.69/85.33 inference(quant_inst,[status(thm)],[])).
% 134.69/85.33 tff(2361,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex2)) | v124(constB179, bitIndex2) | (~v121(constB179, bitIndex2))),
% 134.69/85.33 inference(modus_ponens,[status(thm)],[2360, 2359])).
% 134.69/85.33 tff(2362,plain,
% 134.69/85.33 (v124(constB179, bitIndex2)),
% 134.69/85.33 inference(unit_resolution,[status(thm)],[2361, 1380, 767, 2358, 2345])).
% 134.69/85.33 tff(2363,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB179)) | (~v124(constB179, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2364,plain,
% 134.69/85.33 (((~v118(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2365,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB179)) | (~v124(constB179, bitIndex2))))),
% 134.69/85.33 inference(monotonicity,[status(thm)],[2364])).
% 134.69/85.33 tff(2366,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.33 inference(transitivity,[status(thm)],[2365, 2363])).
% 134.69/85.33 tff(2367,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b011(bitIndex2))),
% 134.69/85.33 inference(quant_inst,[status(thm)],[])).
% 134.69/85.33 tff(2368,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB179)) | (~v124(constB179, bitIndex2))),
% 134.69/85.33 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 134.69/85.33 tff(2369,plain,
% 134.69/85.33 (~v118(constB179)),
% 134.69/85.33 inference(unit_resolution,[status(thm)],[2368, 2030, 2027, 767, 2362])).
% 134.69/85.33 tff(2370,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB179)) | (~v124(constB179, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2371,plain,
% 134.69/85.33 (((~v115(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2372,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB179)) | (~v124(constB179, bitIndex2))))),
% 134.69/85.33 inference(monotonicity,[status(thm)],[2371])).
% 134.69/85.33 tff(2373,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.33 inference(transitivity,[status(thm)],[2372, 2370])).
% 134.69/85.33 tff(2374,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b011(bitIndex2))),
% 134.69/85.33 inference(quant_inst,[status(thm)],[])).
% 134.69/85.33 tff(2375,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB179)) | (~v124(constB179, bitIndex2))),
% 134.69/85.33 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 134.69/85.33 tff(2376,plain,
% 134.69/85.33 (~v115(constB179)),
% 134.69/85.33 inference(unit_resolution,[status(thm)],[2375, 2030, 2257, 767, 2362])).
% 134.69/85.33 tff(2377,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2378,plain,
% 134.69/85.33 ((v26(constB179) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0))) <=> (v26(constB179) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2379,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0)))),
% 134.69/85.33 inference(monotonicity,[status(thm)],[2378])).
% 134.69/85.33 tff(2380,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0))),
% 134.69/85.33 inference(transitivity,[status(thm)],[2379, 2377])).
% 134.69/85.33 tff(2381,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex0)) | v124(constB179, bitIndex0) | (~v121(constB179, bitIndex0)))),
% 134.69/85.33 inference(quant_inst,[status(thm)],[])).
% 134.69/85.33 tff(2382,plain,
% 134.69/85.33 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex0)) | (~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0)),
% 134.69/85.33 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 134.69/85.33 tff(2383,plain,
% 134.69/85.33 (v124(constB179, bitIndex0)),
% 134.69/85.33 inference(unit_resolution,[status(thm)],[2382, 1380, 795, 2358, 2354])).
% 134.69/85.33 tff(2384,plain,
% 134.69/85.33 ((~b100(bitIndex0)) <=> (~b100(bitIndex0))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2385,axiom,(~b100(bitIndex0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_12_1_1')).
% 134.69/85.33 tff(2386,plain,
% 134.69/85.33 (~b100(bitIndex0)),
% 134.69/85.33 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 134.69/85.33 tff(2387,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB179)) | (~v124(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2388,plain,
% 134.69/85.33 (((~v113(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.33 inference(rewrite,[status(thm)],[])).
% 134.69/85.33 tff(2389,plain,
% 134.69/85.33 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB179)) | (~v124(constB179, bitIndex0))))),
% 134.69/85.34 inference(monotonicity,[status(thm)],[2388])).
% 134.69/85.34 tff(2390,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(transitivity,[status(thm)],[2389, 2387])).
% 134.69/85.34 tff(2391,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b100(bitIndex0))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2392,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB179)) | (~v124(constB179, bitIndex0))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2391, 2390])).
% 134.69/85.34 tff(2393,plain,
% 134.69/85.34 (~v113(constB179)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2392, 2386, 2186, 795, 2383])).
% 134.69/85.34 tff(2394,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB179)) | (~v124(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2395,plain,
% 134.69/85.34 (((~v116(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2396,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB179)) | (~v124(constB179, bitIndex0))))),
% 134.69/85.34 inference(monotonicity,[status(thm)],[2395])).
% 134.69/85.34 tff(2397,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(transitivity,[status(thm)],[2396, 2394])).
% 134.69/85.34 tff(2398,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b100(bitIndex0))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2399,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB179)) | (~v124(constB179, bitIndex0))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 134.69/85.34 tff(2400,plain,
% 134.69/85.34 (~v116(constB179)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2399, 2386, 2164, 795, 2383])).
% 134.69/85.34 tff(2401,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB179)) | (~v124(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2402,plain,
% 134.69/85.34 (((~v172(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2403,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB179)) | (~v124(constB179, bitIndex0))))),
% 134.69/85.34 inference(monotonicity,[status(thm)],[2402])).
% 134.69/85.34 tff(2404,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(transitivity,[status(thm)],[2403, 2401])).
% 134.69/85.34 tff(2405,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b110(bitIndex0))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2406,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB179)) | (~v124(constB179, bitIndex0))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 134.69/85.34 tff(2407,plain,
% 134.69/85.34 (~v172(constB179)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2406, 1997, 1994, 795, 2383])).
% 134.69/85.34 tff(2408,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB179)) | (~v124(constB179, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2409,plain,
% 134.69/85.34 (((~v145(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2410,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB179)) | (~v124(constB179, bitIndex0))))),
% 134.69/85.34 inference(monotonicity,[status(thm)],[2409])).
% 134.69/85.34 tff(2411,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB179)) | (~v124(constB179, bitIndex0)))),
% 134.69/85.34 inference(transitivity,[status(thm)],[2410, 2408])).
% 134.69/85.34 tff(2412,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB179)) | (~less_3(bitIndex0)) | (~v124(constB179, bitIndex0)) | b010(bitIndex0))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2413,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB179)) | (~v124(constB179, bitIndex0))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2412, 2411])).
% 134.69/85.34 tff(2414,plain,
% 134.69/85.34 (~v145(constB179)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2413, 2299, 1416, 795, 2383])).
% 134.69/85.34 tff(2415,plain,
% 134.69/85.34 (^[B: $i, VarCurr: $i] : refl((v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)))),
% 134.69/85.34 inference(bind,[status(th)],[])).
% 134.69/85.34 tff(2416,plain,
% 134.69/85.34 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) <=> ![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))),
% 134.69/85.34 inference(quant_intro,[status(thm)],[2415])).
% 134.69/85.34 tff(2417,plain,
% 134.69/85.34 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) <=> ![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2418,plain,
% 134.69/85.34 (^[B: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) <=> ((~less_3(B)) | (~v124(VarCurr, B)) | b001(B))), ((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) <=> (((~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v118(VarCurr)))), rewrite((((~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v118(VarCurr)) <=> (v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))), ((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) <=> (v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)))), (((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) <=> ((v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v172(VarCurr)))), rewrite(((v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))), (((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) <=> (v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)))), ((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> ((v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v116(VarCurr)))), rewrite(((v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))), ((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) <=> (v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)))), (((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> ((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v115(VarCurr)))), rewrite(((v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))), (((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) <=> (v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)))), ((((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> ((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v145(VarCurr)))), rewrite(((v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))), ((((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) <=> (v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)))), (((((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v113(VarCurr)))), rewrite(((v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))), (((((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))))),
% 134.69/85.34 inference(bind,[status(th)],[])).
% 134.69/85.34 tff(2419,plain,
% 134.69/85.34 (![B: $i, VarCurr: $i] : ((((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr)) <=> ![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))),
% 134.69/85.34 inference(quant_intro,[status(thm)],[2418])).
% 134.69/85.34 tff(2420,axiom,(![B: $i, VarCurr: $i] : ((((((((b001(B) | (~v124(VarCurr, B))) | (~less_3(B))) | v118(VarCurr)) | v172(VarCurr)) | v116(VarCurr)) | v115(VarCurr)) | v145(VarCurr)) | v113(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6_1_1_2')).
% 134.69/85.34 tff(2421,plain,
% 134.69/85.34 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2420, 2419])).
% 134.69/85.34 tff(2422,plain,
% 134.69/85.34 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2421, 2417])).
% 134.69/85.34 tff(2423,plain,(
% 134.69/85.34 ![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))),
% 134.69/85.34 inference(skolemize,[status(sab)],[2422])).
% 134.69/85.34 tff(2424,plain,
% 134.69/85.34 (![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2423, 2416])).
% 134.69/85.34 tff(2425,plain,
% 134.69/85.34 ((~b001(bitIndex2)) <=> (~b001(bitIndex2))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2426,axiom,(~b001(bitIndex2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_5_1_1')).
% 134.69/85.34 tff(2427,plain,
% 134.69/85.34 (~b001(bitIndex2)),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 134.69/85.34 tff(2428,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex2)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2429,plain,
% 134.69/85.34 ((v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex2)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2430,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex2))))),
% 134.69/85.34 inference(monotonicity,[status(thm)],[2429])).
% 134.69/85.34 tff(2431,plain,
% 134.69/85.34 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex2)))),
% 134.69/85.34 inference(transitivity,[status(thm)],[2430, 2428])).
% 134.69/85.34 tff(2432,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b001(bitIndex2))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2433,plain,
% 134.69/85.34 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex2))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 134.69/85.34 tff(2434,plain,
% 134.69/85.34 (v118(constB179) | v115(constB179)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2433, 2427, 2424, 767, 2414, 2362, 2407, 2400, 2393])).
% 134.69/85.34 tff(2435,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2434, 2376, 2369])).
% 134.69/85.34 tff(2436,plain,((~v84(constB180, bitIndex0)) | v84(constB180, bitIndex1) | v145(constB180)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2437,plain,
% 134.69/85.34 (v145(constB180)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2436, 2323, 1492])).
% 134.69/85.34 tff(2438,plain,
% 134.69/85.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB180, bitIndex2)) | (~v145(constB180)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB180, bitIndex2)) | (~v145(constB180)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2439,plain,
% 134.69/85.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB180, bitIndex2)) | (~v145(constB180)))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2440,plain,
% 134.69/85.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB180, bitIndex2)) | (~v145(constB180))),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2439, 2438])).
% 134.69/85.34 tff(2441,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2440, 725, 2437, 2311])).
% 134.69/85.34 tff(2442,plain,((~v124(constB181, bitIndex0)) | v84(constB180, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2443,plain,
% 134.69/85.34 (~v124(constB181, bitIndex0)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2442, 2309])).
% 134.69/85.34 tff(2444,plain,
% 134.69/85.34 (~v118(constB181)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1156, 2443])).
% 134.69/85.34 tff(2445,plain,
% 134.69/85.34 (~v113(constB181)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1884, 855])).
% 134.69/85.34 tff(2446,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2016, 2445, 855, 1181, 1471, 2444])).
% 134.69/85.34 tff(2447,plain,(v145(constB181) | v172(constB181) | v84(constB181, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2448,plain,
% 134.69/85.34 (v84(constB181, bitIndex1)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2447, 2308, 2296])).
% 134.69/85.34 tff(2449,plain,
% 134.69/85.34 (~v108(constB183)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1233, 926])).
% 134.69/85.34 tff(2450,plain,
% 134.69/85.34 (~v109(constB183)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1241, 1235])).
% 134.69/85.34 tff(2451,plain,
% 134.69/85.34 (v84(constB183, bitIndex2)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1323, 2450])).
% 134.69/85.34 tff(2452,assumption,(v118(constB183)), introduced(assumption)).
% 134.69/85.34 tff(2453,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1940, 1004, 1235, 2452])).
% 134.69/85.34 tff(2454,plain,((~v118(constB183)) | v108(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2455,plain,
% 134.69/85.34 (~v118(constB183)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2454, 1235])).
% 134.69/85.34 tff(2456,plain,
% 134.69/85.34 (v84(constB183, bitIndex0)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1897, 2450, 1261])).
% 134.69/85.34 tff(2457,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1950, 2456, 2455, 1261, 2451])).
% 134.69/85.34 tff(2458,plain,(v108(constB183) | v84(constB183, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2459,plain,
% 134.69/85.34 (v84(constB183, bitIndex1)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2458, 2449])).
% 134.69/85.34 tff(2460,assumption,(~v84(constB184, bitIndex1)), introduced(assumption)).
% 134.69/85.34 tff(2461,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB184, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB184, bitIndex1))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2462,plain,
% 134.69/85.34 (((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | v84(constB184, bitIndex1) | (~v84(constB183, bitIndex1))) <=> ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB184, bitIndex1))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2463,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | v84(constB184, bitIndex1) | (~v84(constB183, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB184, bitIndex1)))),
% 134.69/85.34 inference(monotonicity,[status(thm)],[2462])).
% 134.69/85.34 tff(2464,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | v84(constB184, bitIndex1) | (~v84(constB183, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB184, bitIndex1))),
% 134.69/85.34 inference(transitivity,[status(thm)],[2463, 2461])).
% 134.69/85.34 tff(2465,plain,
% 134.69/85.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | v84(constB184, bitIndex1) | (~v84(constB183, bitIndex1)))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2466,plain,
% 134.69/85.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex1)) | (~v84(constB183, bitIndex1)) | v84(constB184, bitIndex1)),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 134.69/85.34 tff(2467,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2466, 777, 823, 451, 878, 2460, 1305])).
% 134.69/85.34 tff(2468,plain,(v84(constB184, bitIndex1) | v94(constB184) | (~v84(constB183, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2469,plain,
% 134.69/85.34 (v84(constB184, bitIndex1)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2468, 2459, 878])).
% 134.69/85.34 tff(2470,assumption,(~v84(constB184, bitIndex2)), introduced(assumption)).
% 134.69/85.34 tff(2471,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB184, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB184, bitIndex2))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2472,plain,
% 134.69/85.34 (((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB184, bitIndex2) | (~v84(constB183, bitIndex2))) <=> ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB184, bitIndex2))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2473,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB184, bitIndex2) | (~v84(constB183, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB184, bitIndex2)))),
% 134.69/85.34 inference(monotonicity,[status(thm)],[2472])).
% 134.69/85.34 tff(2474,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB184, bitIndex2) | (~v84(constB183, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB184, bitIndex2))),
% 134.69/85.34 inference(transitivity,[status(thm)],[2473, 2471])).
% 134.69/85.34 tff(2475,plain,
% 134.69/85.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB184, bitIndex2) | (~v84(constB183, bitIndex2)))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2476,plain,
% 134.69/85.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB183, bitIndex2)) | v84(constB184, bitIndex2)),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2475, 2474])).
% 134.69/85.34 tff(2477,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2476, 777, 767, 451, 878, 2470, 1325])).
% 134.69/85.34 tff(2478,plain,(v84(constB184, bitIndex2) | v94(constB184) | (~v84(constB183, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2479,plain,
% 134.69/85.34 (~v84(constB183, bitIndex2)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2478, 878, 2470])).
% 134.69/85.34 tff(2480,plain,
% 134.69/85.34 (v109(constB183)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1323, 2479])).
% 134.69/85.34 tff(2481,plain,
% 134.69/85.34 (v108(constB183)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1241, 2480])).
% 134.69/85.34 tff(2482,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1233, 2481, 926])).
% 134.69/85.34 tff(2483,plain,(v94(constB184) | v84(constB184, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2484,plain,
% 134.69/85.34 (v84(constB184, bitIndex2)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2483, 878])).
% 134.69/85.34 tff(2485,plain,
% 134.69/85.34 (v84(constB183, bitIndex0)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1932, 926])).
% 134.69/85.34 tff(2486,assumption,(~v84(constB184, bitIndex0)), introduced(assumption)).
% 134.69/85.34 tff(2487,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB184, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB184, bitIndex0))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2488,plain,
% 134.69/85.34 (((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | v84(constB184, bitIndex0) | (~v84(constB183, bitIndex0))) <=> ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB184, bitIndex0))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2489,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | v84(constB184, bitIndex0) | (~v84(constB183, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB184, bitIndex0)))),
% 134.69/85.34 inference(monotonicity,[status(thm)],[2488])).
% 134.69/85.34 tff(2490,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | v84(constB184, bitIndex0) | (~v84(constB183, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB184, bitIndex0))),
% 134.69/85.34 inference(transitivity,[status(thm)],[2489, 2487])).
% 134.69/85.34 tff(2491,plain,
% 134.69/85.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | v84(constB184, bitIndex0) | (~v84(constB183, bitIndex0)))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2492,plain,
% 134.69/85.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex0)) | (~v84(constB183, bitIndex0)) | v84(constB184, bitIndex0)),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2491, 2490])).
% 134.69/85.34 tff(2493,plain,
% 134.69/85.34 ($false),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2492, 777, 795, 451, 878, 2486, 1278])).
% 134.69/85.34 tff(2494,plain,(v84(constB184, bitIndex0) | v94(constB184) | (~v84(constB183, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.34 tff(2495,plain,
% 134.69/85.34 (v84(constB184, bitIndex0)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2494, 2485, 878])).
% 134.69/85.34 tff(2496,assumption,(v84(constB184, bitIndex0)), introduced(assumption)).
% 134.69/85.34 tff(2497,plain,
% 134.69/85.34 (~v84(constB180, bitIndex0)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1876, 1868])).
% 134.69/85.34 tff(2498,plain,
% 134.69/85.34 (v84(constB180, bitIndex1)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[1663, 1503])).
% 134.69/85.34 tff(2499,plain,
% 134.69/85.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB179, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB179, bitIndex1))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2500,plain,
% 134.69/85.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB179, bitIndex1))),
% 134.69/85.34 inference(quant_inst,[status(thm)],[])).
% 134.69/85.34 tff(2501,plain,
% 134.69/85.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB179, constB180)) | v94(constB180) | (~less_3(bitIndex1)) | (~v84(constB180, bitIndex1)) | v84(constB179, bitIndex1)),
% 134.69/85.34 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 134.69/85.34 tff(2502,plain,
% 134.69/85.34 (v94(constB180) | v84(constB179, bitIndex1)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2501, 805, 823, 1506, 1470])).
% 134.69/85.34 tff(2503,plain,
% 134.69/85.34 (v84(constB179, bitIndex1)),
% 134.69/85.34 inference(unit_resolution,[status(thm)],[2502, 1503])).
% 134.69/85.34 tff(2504,plain,
% 134.69/85.34 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB179, bitIndex0) | v119(constB179) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB179, bitIndex0) | v119(constB179) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2)))),
% 134.69/85.34 inference(rewrite,[status(thm)],[])).
% 134.69/85.34 tff(2505,plain,
% 134.69/85.34 ((v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2)) | v119(constB179)) <=> (v84(constB179, bitIndex0) | v119(constB179) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2506,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2)) | v119(constB179))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB179, bitIndex0) | v119(constB179) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2))))),
% 134.69/85.35 inference(monotonicity,[status(thm)],[2505])).
% 134.69/85.35 tff(2507,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2)) | v119(constB179))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB179, bitIndex0) | v119(constB179) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2)))),
% 134.69/85.35 inference(transitivity,[status(thm)],[2506, 2504])).
% 134.69/85.35 tff(2508,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2)) | v119(constB179))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2509,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB179, bitIndex0) | v119(constB179) | (~v84(constB179, bitIndex1)) | (~v84(constB179, bitIndex2))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 134.69/85.35 tff(2510,plain,
% 134.69/85.35 (v119(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2509, 1910, 2503, 1636, 1521])).
% 134.69/85.35 tff(2511,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB179) | (~v119(constB179)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB179) | (~v119(constB179)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2512,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB179) | (~v119(constB179)))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2513,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB179) | (~v119(constB179))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 134.69/85.35 tff(2514,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2513, 1927, 1612, 2510])).
% 134.69/85.35 tff(2515,plain,(v94(constB180) | v84(constB180, bitIndex0) | (~v84(constB180, bitIndex2)) | (~v84(constB180, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2516,plain,
% 134.69/85.35 (~v84(constB180, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2515, 1502, 1503, 2498])).
% 134.69/85.35 tff(2517,plain,
% 134.69/85.35 (v84(constB180, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1866, 1502, 1481])).
% 134.69/85.35 tff(2518,plain,
% 134.69/85.35 (v94(constB180) | v84(constB179, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2501, 805, 823, 1506, 2517])).
% 134.69/85.35 tff(2519,plain,
% 134.69/85.35 (v84(constB179, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2518, 1503])).
% 134.69/85.35 tff(2520,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v115(constB179))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB179, bitIndex0) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v115(constB179))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2521,plain,
% 134.69/85.35 ((v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179)) <=> (v84(constB179, bitIndex0) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v115(constB179))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2522,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v115(constB179)))),
% 134.69/85.35 inference(monotonicity,[status(thm)],[2521])).
% 134.69/85.35 tff(2523,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB179, bitIndex0) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v115(constB179))),
% 134.69/85.35 inference(transitivity,[status(thm)],[2522, 2520])).
% 134.69/85.35 tff(2524,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB179, bitIndex0) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v115(constB179))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2525,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB179, bitIndex0) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v115(constB179)),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2524, 2523])).
% 134.69/85.35 tff(2526,plain,
% 134.69/85.35 (v115(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2525, 1095, 2519, 1521, 1511])).
% 134.69/85.35 tff(2527,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB179) | (~v115(constB179)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB179) | (~v115(constB179)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2528,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB179) | (~v115(constB179)))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2529,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB179) | (~v115(constB179))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2528, 2527])).
% 134.69/85.35 tff(2530,plain,
% 134.69/85.35 (v111(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2529, 945, 2526])).
% 134.69/85.35 tff(2531,plain,
% 134.69/85.35 (v110(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1536, 691, 2530])).
% 134.69/85.35 tff(2532,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1597, 680, 1614, 2531])).
% 134.69/85.35 tff(2533,plain,(v94(constB180) | v84(constB180, bitIndex2) | v84(constB180, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2534,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2533, 2516, 1502, 1503])).
% 134.69/85.35 tff(2535,plain,(v84(constB180, bitIndex0) | v94(constB180)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2536,plain,
% 134.69/85.35 (v94(constB180)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2535, 2497])).
% 134.69/85.35 tff(2537,plain,
% 134.69/85.35 (v84(constB183, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2458, 1234])).
% 134.69/85.35 tff(2538,plain,
% 134.69/85.35 (v84(constB182, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1956, 2537])).
% 134.69/85.35 tff(2539,plain,
% 134.69/85.35 (v84(constB181, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2038, 1331, 1937, 2538])).
% 134.69/85.35 tff(2540,plain,
% 134.69/85.35 (v84(constB180, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1500, 2539])).
% 134.69/85.35 tff(2541,assumption,(v94(constB180)), introduced(assumption)).
% 134.69/85.35 tff(2542,plain,
% 134.69/85.35 (v124(constB181, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2294, 1227])).
% 134.69/85.35 tff(2543,plain,
% 134.69/85.35 (~v145(constB181)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2307, 2542])).
% 134.69/85.35 tff(2544,plain,
% 134.69/85.35 (v84(constB181, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2277, 2539, 1234, 2543])).
% 134.69/85.35 tff(2545,plain,
% 134.69/85.35 (v84(constB180, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1490, 2544])).
% 134.69/85.35 tff(2546,plain,
% 134.69/85.35 ((~v94(constB180)) | v123(constB180, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2336, 1344, 767, 1431])).
% 134.69/85.35 tff(2547,plain,
% 134.69/85.35 (v123(constB180, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2546, 2541])).
% 134.69/85.35 tff(2548,plain,
% 134.69/85.35 (v121(constB179, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2344, 1362, 767, 1506, 2547])).
% 134.69/85.35 tff(2549,plain,
% 134.69/85.35 (v124(constB179, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2361, 1380, 767, 1610, 2548])).
% 134.69/85.35 tff(2550,plain,
% 134.69/85.35 (~v118(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2368, 2030, 2027, 767, 2549])).
% 134.69/85.35 tff(2551,assumption,(~v123(constB180, bitIndex1)), introduced(assumption)).
% 134.69/85.35 tff(2552,plain,
% 134.69/85.35 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB180)) | (~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB180)) | (~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2553,plain,
% 134.69/85.35 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB180)) | (~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2554,plain,
% 134.69/85.35 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB180)) | (~v84(constB180, bitIndex1)) | v123(constB180, bitIndex1)),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 134.69/85.35 tff(2555,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2554, 1344, 823, 2541, 1470, 2551])).
% 134.69/85.35 tff(2556,plain,((~v84(constB180, bitIndex1)) | (~v94(constB180)) | v123(constB180, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2557,plain,
% 134.69/85.35 (v123(constB180, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2556, 2541, 1470])).
% 134.69/85.35 tff(2558,assumption,(v123(constB180, bitIndex1)), introduced(assumption)).
% 134.69/85.35 tff(2559,plain,
% 134.69/85.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex1)) | (~v123(constB180, bitIndex1)) | v121(constB179, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex1)) | (~v123(constB180, bitIndex1)) | v121(constB179, bitIndex1))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2560,plain,
% 134.69/85.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB179, constB180)) | (~less_3(bitIndex1)) | (~v123(constB180, bitIndex1)) | v121(constB179, bitIndex1))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2561,plain,
% 134.69/85.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB179, constB180)) | (~less_3(bitIndex1)) | (~v123(constB180, bitIndex1)) | v121(constB179, bitIndex1)),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 134.69/85.35 tff(2562,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2561, 1362, 823, 1506, 1780, 2558])).
% 134.69/85.35 tff(2563,plain,((~v123(constB180, bitIndex1)) | v121(constB179, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2564,plain,
% 134.69/85.35 (v121(constB179, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2563, 2557])).
% 134.69/85.35 tff(2565,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~v121(constB179, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~v121(constB179, bitIndex1)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2566,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB179) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~v121(constB179, bitIndex1)))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2567,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB179) | (~less_3(bitIndex1)) | v124(constB179, bitIndex1) | (~v121(constB179, bitIndex1))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2566, 2565])).
% 134.69/85.35 tff(2568,plain,
% 134.69/85.35 (v124(constB179, bitIndex1)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2567, 1380, 823, 1610, 2564])).
% 134.69/85.35 tff(2569,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB179)) | (~v124(constB179, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB179)) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2570,plain,
% 134.69/85.35 (((~v116(constB179)) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB179)) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2571,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB179)) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB179)) | (~v124(constB179, bitIndex1))))),
% 134.69/85.35 inference(monotonicity,[status(thm)],[2570])).
% 134.69/85.35 tff(2572,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB179)) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB179)) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(transitivity,[status(thm)],[2571, 2569])).
% 134.69/85.35 tff(2573,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB179)) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b100(bitIndex1))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2574,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB179)) | (~v124(constB179, bitIndex1))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 134.69/85.35 tff(2575,plain,
% 134.69/85.35 (~v116(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2574, 2167, 2164, 823, 2568])).
% 134.69/85.35 tff(2576,plain,
% 134.69/85.35 (v123(constB180, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2349, 2541])).
% 134.69/85.35 tff(2577,plain,
% 134.69/85.35 (v121(constB179, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2353, 1362, 795, 1506, 2576])).
% 134.69/85.35 tff(2578,plain,
% 134.69/85.35 (v124(constB179, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2382, 1380, 795, 1610, 2577])).
% 134.69/85.35 tff(2579,plain,
% 134.69/85.35 (~v172(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2406, 1997, 1994, 795, 2578])).
% 134.69/85.35 tff(2580,plain,
% 134.69/85.35 (~v115(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2375, 2030, 2257, 767, 2549])).
% 134.69/85.35 tff(2581,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB179)) | (~v124(constB179, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2582,plain,
% 134.69/85.35 (((~v145(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2583,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB179)) | (~v124(constB179, bitIndex2))))),
% 134.69/85.35 inference(monotonicity,[status(thm)],[2582])).
% 134.69/85.35 tff(2584,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB179)) | (~v124(constB179, bitIndex2)))),
% 134.69/85.35 inference(transitivity,[status(thm)],[2583, 2581])).
% 134.69/85.35 tff(2585,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB179)) | (~less_3(bitIndex2)) | (~v124(constB179, bitIndex2)) | b010(bitIndex2))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2586,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB179)) | (~v124(constB179, bitIndex2))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2585, 2584])).
% 134.69/85.35 tff(2587,plain,
% 134.69/85.35 (~v145(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2586, 1419, 1416, 767, 2549])).
% 134.69/85.35 tff(2588,assumption,(v124(constB179, bitIndex1)), introduced(assumption)).
% 134.69/85.35 tff(2589,assumption,(v113(constB179)), introduced(assumption)).
% 134.69/85.35 tff(2590,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB179)) | (~v124(constB179, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB179)) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2591,plain,
% 134.69/85.35 (((~v113(constB179)) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB179)) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2592,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB179)) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB179)) | (~v124(constB179, bitIndex1))))),
% 134.69/85.35 inference(monotonicity,[status(thm)],[2591])).
% 134.69/85.35 tff(2593,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB179)) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB179)) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(transitivity,[status(thm)],[2592, 2590])).
% 134.69/85.35 tff(2594,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB179)) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b100(bitIndex1))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2595,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB179)) | (~v124(constB179, bitIndex1))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2594, 2593])).
% 134.69/85.35 tff(2596,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2595, 2167, 2186, 823, 2589, 2588])).
% 134.69/85.35 tff(2597,plain,((~v124(constB179, bitIndex1)) | (~v113(constB179))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2598,plain,
% 134.69/85.35 (~v113(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2597, 2568])).
% 134.69/85.35 tff(2599,plain,
% 134.69/85.35 ((~b001(bitIndex1)) <=> (~b001(bitIndex1))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2600,axiom,(~b001(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_4_1_1')).
% 134.69/85.35 tff(2601,plain,
% 134.69/85.35 (~b001(bitIndex1)),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 134.69/85.35 tff(2602,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2603,plain,
% 134.69/85.35 ((v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2604,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex1))))),
% 134.69/85.35 inference(monotonicity,[status(thm)],[2603])).
% 134.69/85.35 tff(2605,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex1)))),
% 134.69/85.35 inference(transitivity,[status(thm)],[2604, 2602])).
% 134.69/85.35 tff(2606,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB179) | v145(constB179) | v115(constB179) | v116(constB179) | v172(constB179) | v118(constB179) | (~less_3(bitIndex1)) | (~v124(constB179, bitIndex1)) | b001(bitIndex1))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2607,plain,
% 134.69/85.35 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB179) | v113(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179) | (~v124(constB179, bitIndex1))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 134.69/85.35 tff(2608,plain,
% 134.69/85.35 (v145(constB179) | v172(constB179) | v116(constB179) | v118(constB179) | v115(constB179)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2607, 2601, 2424, 823, 2598, 2568])).
% 134.69/85.35 tff(2609,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2608, 2587, 2580, 2579, 2575, 2550])).
% 134.69/85.35 tff(2610,plain,((~v94(constB180)) | (~v84(constB180, bitIndex0)) | (~v84(constB180, bitIndex2)) | (~v84(constB180, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2611,plain,
% 134.69/85.35 (~v84(constB180, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2610, 2545, 2541, 2540])).
% 134.69/85.35 tff(2612,plain,
% 134.69/85.35 (~v84(constB181, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2322, 2611])).
% 134.69/85.35 tff(2613,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB181) | (~v119(constB181)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB181) | (~v119(constB181)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2614,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB181) | (~v119(constB181)))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2615,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB181) | (~v119(constB181))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 134.69/85.35 tff(2616,plain,
% 134.69/85.35 (~v119(constB181)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2615, 1927, 651])).
% 134.69/85.35 tff(2617,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB181) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB181) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2618,plain,
% 134.69/85.35 ((v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181)) <=> (v119(constB181) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2619,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB181) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0)))),
% 134.69/85.35 inference(monotonicity,[status(thm)],[2618])).
% 134.69/85.35 tff(2620,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB181) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0))),
% 134.69/85.35 inference(transitivity,[status(thm)],[2619, 2617])).
% 134.69/85.35 tff(2621,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v119(constB181))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2622,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB181) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0)),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2621, 2620])).
% 134.69/85.35 tff(2623,plain,
% 134.69/85.35 ((~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)) | v84(constB181, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2622, 1910, 2616])).
% 134.69/85.35 tff(2624,plain,
% 134.69/85.35 (v84(constB181, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2623, 1105, 1064])).
% 134.69/85.35 tff(2625,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[961, 777, 795, 531, 525, 1934, 2624])).
% 134.69/85.35 tff(2626,plain,(v84(constB182, bitIndex0) | v94(constB182)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2627,plain,
% 134.69/85.35 (v84(constB182, bitIndex0)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2626, 525])).
% 134.69/85.35 tff(2628,plain,
% 134.69/85.35 ($false),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[843, 805, 795, 531, 525, 2627, 1868])).
% 134.69/85.35 tff(2629,plain,(v94(constB182) | v84(constB181, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.35 tff(2630,plain,
% 134.69/85.35 (v94(constB182)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2629, 2612])).
% 134.69/85.35 tff(2631,plain,
% 134.69/85.35 (v123(constB182, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1349, 2630, 1331])).
% 134.69/85.35 tff(2632,plain,
% 134.69/85.35 (v121(constB181, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1367, 2631])).
% 134.69/85.35 tff(2633,plain,
% 134.69/85.35 (v124(constB181, bitIndex2)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[1403, 2632])).
% 134.69/85.35 tff(2634,plain,
% 134.69/85.35 (~v116(constB181)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2280, 2544])).
% 134.69/85.35 tff(2635,plain,
% 134.69/85.35 (~v172(constB181)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2005, 2542])).
% 134.69/85.35 tff(2636,plain,
% 134.69/85.35 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v118(VarCurr))))),
% 134.69/85.35 inference(bind,[status(th)],[])).
% 134.69/85.35 tff(2637,plain,
% 134.69/85.35 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 134.69/85.35 inference(quant_intro,[status(thm)],[2636])).
% 134.69/85.35 tff(2638,plain,
% 134.69/85.35 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2639,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_3')).
% 134.69/85.35 tff(2640,plain,
% 134.69/85.35 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2639, 2638])).
% 134.69/85.35 tff(2641,plain,(
% 134.69/85.35 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 134.69/85.35 inference(skolemize,[status(sab)],[2640])).
% 134.69/85.35 tff(2642,plain,
% 134.69/85.35 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2641, 2637])).
% 134.69/85.35 tff(2643,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | ((~v118(constB181)) | v84(constB181, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (~v118(constB181)) | v84(constB181, bitIndex0))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2644,plain,
% 134.69/85.35 ((v84(constB181, bitIndex0) | (~v118(constB181))) <=> ((~v118(constB181)) | v84(constB181, bitIndex0))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2645,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB181, bitIndex0) | (~v118(constB181)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | ((~v118(constB181)) | v84(constB181, bitIndex0)))),
% 134.69/85.35 inference(monotonicity,[status(thm)],[2644])).
% 134.69/85.35 tff(2646,plain,
% 134.69/85.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB181, bitIndex0) | (~v118(constB181)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (~v118(constB181)) | v84(constB181, bitIndex0))),
% 134.69/85.35 inference(transitivity,[status(thm)],[2645, 2643])).
% 134.69/85.35 tff(2647,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB181, bitIndex0) | (~v118(constB181)))),
% 134.69/85.35 inference(quant_inst,[status(thm)],[])).
% 134.69/85.35 tff(2648,plain,
% 134.69/85.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (~v118(constB181)) | v84(constB181, bitIndex0)),
% 134.69/85.35 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 134.69/85.35 tff(2649,plain,
% 134.69/85.35 (~v118(constB181)),
% 134.69/85.35 inference(unit_resolution,[status(thm)],[2648, 2642, 2612])).
% 134.69/85.35 tff(2650,plain,
% 134.69/85.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB181) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | (~v124(constB181, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB181) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | (~v124(constB181, bitIndex2)))),
% 134.69/85.35 inference(rewrite,[status(thm)],[])).
% 134.69/85.35 tff(2651,plain,
% 134.69/85.35 ((v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB181) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | (~v124(constB181, bitIndex2)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2652,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB181) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | (~v124(constB181, bitIndex2))))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2651])).
% 134.69/85.36 tff(2653,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB181) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | (~v124(constB181, bitIndex2)))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2652, 2650])).
% 134.69/85.36 tff(2654,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB181) | v145(constB181) | v115(constB181) | v116(constB181) | v172(constB181) | v118(constB181) | (~less_3(bitIndex2)) | (~v124(constB181, bitIndex2)) | b001(bitIndex2))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2655,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB181) | v118(constB181) | v172(constB181) | v116(constB181) | v115(constB181) | v113(constB181) | (~v124(constB181, bitIndex2))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2654, 2653])).
% 134.69/85.36 tff(2656,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2655, 2427, 2424, 767, 855, 1085, 1066, 1183, 2445, 1181, 1405])).
% 134.69/85.36 tff(2657,plain,((~v124(constB181, bitIndex2)) | v145(constB181) | v115(constB181) | v116(constB181) | v118(constB181) | v172(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2658,plain,
% 134.69/85.36 (v115(constB181)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2657, 2649, 2543, 2635, 2634, 2633])).
% 134.69/85.36 tff(2659,plain,
% 134.69/85.36 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))))),
% 134.69/85.36 inference(bind,[status(th)],[])).
% 134.69/85.36 tff(2660,plain,
% 134.69/85.36 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 134.69/85.36 inference(quant_intro,[status(thm)],[2659])).
% 134.69/85.36 tff(2661,plain,
% 134.69/85.36 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2662,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_3')).
% 134.69/85.36 tff(2663,plain,
% 134.69/85.36 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2662, 2661])).
% 134.69/85.36 tff(2664,plain,(
% 134.69/85.36 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 134.69/85.36 inference(skolemize,[status(sab)],[2663])).
% 134.69/85.36 tff(2665,plain,
% 134.69/85.36 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2664, 2660])).
% 134.69/85.36 tff(2666,plain,
% 134.69/85.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v115(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB181, bitIndex2)) | (~v115(constB181)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2667,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB181, bitIndex2)) | (~v115(constB181)))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2668,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB181, bitIndex2)) | (~v115(constB181))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2667, 2666])).
% 134.69/85.36 tff(2669,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2668, 2665, 2544, 2658])).
% 134.69/85.36 tff(2670,plain,(v107(constB183) | (~v94(constB180))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2671,plain,
% 134.69/85.36 (v107(constB183)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2670, 2536])).
% 134.69/85.36 tff(2672,plain,
% 134.69/85.36 (v102(constB183)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[925, 2671])).
% 134.69/85.36 tff(2673,plain,
% 134.69/85.36 (v104(constB184)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[905, 2672])).
% 134.69/85.36 tff(2674,plain,
% 134.69/85.36 (v94(constB184)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[897, 2673])).
% 134.69/85.36 tff(2675,assumption,(~v123(constB184, bitIndex0)), introduced(assumption)).
% 134.69/85.36 tff(2676,assumption,(v94(constB184)), introduced(assumption)).
% 134.69/85.36 tff(2677,plain,
% 134.69/85.36 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB184)) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB184)) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2678,plain,
% 134.69/85.36 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB184)) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2679,plain,
% 134.69/85.36 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB184)) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0)),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2678, 2677])).
% 134.69/85.36 tff(2680,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2679, 1344, 795, 2676, 2496, 2675])).
% 134.69/85.36 tff(2681,plain,((~v84(constB184, bitIndex0)) | (~v94(constB184)) | v123(constB184, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2682,plain,
% 134.69/85.36 (v123(constB184, bitIndex0)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2681, 2674, 2496])).
% 134.69/85.36 tff(2683,assumption,(~v121(constB183, bitIndex0)), introduced(assumption)).
% 134.69/85.36 tff(2684,assumption,(v123(constB184, bitIndex0)), introduced(assumption)).
% 134.69/85.36 tff(2685,plain,
% 134.69/85.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2686,plain,
% 134.69/85.36 (((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v121(constB183, bitIndex0)) <=> ((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2687,plain,
% 134.69/85.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v121(constB183, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2686])).
% 134.69/85.36 tff(2688,plain,
% 134.69/85.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v121(constB183, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2687, 2685])).
% 134.69/85.36 tff(2689,plain,
% 134.69/85.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v121(constB183, bitIndex0))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2690,plain,
% 134.69/85.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v123(constB184, bitIndex0))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2689, 2688])).
% 134.69/85.36 tff(2691,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2690, 1362, 795, 451, 2684, 2683])).
% 134.69/85.36 tff(2692,plain,((~v123(constB184, bitIndex0)) | v121(constB183, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2693,plain,
% 134.69/85.36 (v121(constB183, bitIndex0)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2692, 2682])).
% 134.69/85.36 tff(2694,assumption,(v121(constB183, bitIndex0)), introduced(assumption)).
% 134.69/85.36 tff(2695,assumption,(~v124(constB183, bitIndex0)), introduced(assumption)).
% 134.69/85.36 tff(2696,assumption,(v26(constB183)), introduced(assumption)).
% 134.69/85.36 tff(2697,plain,
% 134.69/85.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2698,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2697, 1172, 2696])).
% 134.69/85.36 tff(2699,plain,(~v26(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2700,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex0)) | (~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex0)) | (~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2701,plain,
% 134.69/85.36 ((v26(constB183) | (~less_3(bitIndex0)) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0))) <=> (v26(constB183) | (~less_3(bitIndex0)) | (~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2702,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex0)) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex0)) | (~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2701])).
% 134.69/85.36 tff(2703,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex0)) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex0)) | (~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2702, 2700])).
% 134.69/85.36 tff(2704,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex0)) | v124(constB183, bitIndex0) | (~v121(constB183, bitIndex0)))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2705,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex0)) | (~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0)),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 134.69/85.36 tff(2706,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2705, 1380, 795, 2699, 2695, 2694])).
% 134.69/85.36 tff(2707,plain,((~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2708,plain,
% 134.69/85.36 (v124(constB183, bitIndex0)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2707, 2693])).
% 134.69/85.36 tff(2709,assumption,(v124(constB183, bitIndex0)), introduced(assumption)).
% 134.69/85.36 tff(2710,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB183)) | (~v124(constB183, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2711,plain,
% 134.69/85.36 (((~v145(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2712,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB183)) | (~v124(constB183, bitIndex0))))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2711])).
% 134.69/85.36 tff(2713,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2712, 2710])).
% 134.69/85.36 tff(2714,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b010(bitIndex0))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2715,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB183)) | (~v124(constB183, bitIndex0))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 134.69/85.36 tff(2716,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2715, 2299, 1416, 795, 718, 2709])).
% 134.69/85.36 tff(2717,plain,((~v124(constB183, bitIndex0)) | (~v145(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2718,plain,
% 134.69/85.36 (~v145(constB183)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2717, 2708])).
% 134.69/85.36 tff(2719,assumption,(v116(constB183)), introduced(assumption)).
% 134.69/85.36 tff(2720,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB183)) | (~v124(constB183, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2721,plain,
% 134.69/85.36 (((~v116(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2722,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB183)) | (~v124(constB183, bitIndex0))))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2721])).
% 134.69/85.36 tff(2723,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2722, 2720])).
% 134.69/85.36 tff(2724,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b100(bitIndex0))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2725,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB183)) | (~v124(constB183, bitIndex0))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 134.69/85.36 tff(2726,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2725, 2386, 2164, 795, 2719, 2709])).
% 134.69/85.36 tff(2727,plain,((~v124(constB183, bitIndex0)) | (~v116(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2728,plain,
% 134.69/85.36 (~v116(constB183)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2727, 2708])).
% 134.69/85.36 tff(2729,assumption,(v172(constB183)), introduced(assumption)).
% 134.69/85.36 tff(2730,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB183)) | (~v124(constB183, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2731,plain,
% 134.69/85.36 (((~v172(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2732,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB183)) | (~v124(constB183, bitIndex0))))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2731])).
% 134.69/85.36 tff(2733,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB183)) | (~v124(constB183, bitIndex0)))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2732, 2730])).
% 134.69/85.36 tff(2734,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB183)) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)) | b110(bitIndex0))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2735,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB183)) | (~v124(constB183, bitIndex0))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2734, 2733])).
% 134.69/85.36 tff(2736,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2735, 1997, 1994, 795, 2709, 2729])).
% 134.69/85.36 tff(2737,plain,((~v124(constB183, bitIndex0)) | (~v172(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2738,plain,
% 134.69/85.36 (~v172(constB183)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2737, 2708])).
% 134.69/85.36 tff(2739,plain,
% 134.69/85.36 (~v84(constB181, bitIndex2)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[1163, 725, 1406])).
% 134.69/85.36 tff(2740,plain,
% 134.69/85.36 (~v84(constB180, bitIndex2)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[1454, 2739])).
% 134.69/85.36 tff(2741,plain,
% 134.69/85.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB181)) | (~v84(constB181, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB181)) | (~v84(constB181, bitIndex1)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2742,plain,
% 134.69/85.36 (((~v84(constB181, bitIndex1)) | (~v145(constB181))) <=> ((~v145(constB181)) | (~v84(constB181, bitIndex1)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2743,plain,
% 134.69/85.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v145(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB181)) | (~v84(constB181, bitIndex1))))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2742])).
% 134.69/85.36 tff(2744,plain,
% 134.69/85.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v145(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB181)) | (~v84(constB181, bitIndex1)))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2743, 2741])).
% 134.69/85.36 tff(2745,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v145(constB181)))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2746,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB181)) | (~v84(constB181, bitIndex1))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 134.69/85.36 tff(2747,plain,
% 134.69/85.36 (~v84(constB181, bitIndex1)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2746, 816, 1406])).
% 134.69/85.36 tff(2748,plain,
% 134.69/85.36 (~v84(constB180, bitIndex1)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[1479, 2747])).
% 134.69/85.36 tff(2749,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[1866, 2748, 2740, 1502])).
% 134.69/85.36 tff(2750,plain,((~v145(constB181)) | v84(constB180, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2751,plain,
% 134.69/85.36 (~v145(constB181)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2750, 2497])).
% 134.69/85.36 tff(2752,assumption,(v113(constB183)), introduced(assumption)).
% 134.69/85.36 tff(2753,plain,
% 134.69/85.36 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB183)) | (~v84(constB183, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB183)) | (~v84(constB183, bitIndex2)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2754,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB183)) | (~v84(constB183, bitIndex2)))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2755,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB183)) | (~v84(constB183, bitIndex2))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2754, 2753])).
% 134.69/85.36 tff(2756,plain,
% 134.69/85.36 (~v84(constB183, bitIndex2)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2755, 1119, 2752])).
% 134.69/85.36 tff(2757,plain,
% 134.69/85.36 (~v84(constB182, bitIndex2)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2042, 2756])).
% 134.69/85.36 tff(2758,plain,
% 134.69/85.36 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))))),
% 134.69/85.36 inference(bind,[status(th)],[])).
% 134.69/85.36 tff(2759,plain,
% 134.69/85.36 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 134.69/85.36 inference(quant_intro,[status(thm)],[2758])).
% 134.69/85.36 tff(2760,plain,
% 134.69/85.36 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2761,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2_1_1_4')).
% 134.69/85.36 tff(2762,plain,
% 134.69/85.36 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2761, 2760])).
% 134.69/85.36 tff(2763,plain,(
% 134.69/85.36 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 134.69/85.36 inference(skolemize,[status(sab)],[2762])).
% 134.69/85.36 tff(2764,plain,
% 134.69/85.36 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2763, 2759])).
% 134.69/85.36 tff(2765,plain,
% 134.69/85.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB183, bitIndex0)) | (~v113(constB183)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB183, bitIndex0)) | (~v113(constB183)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2766,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB183, bitIndex0)) | (~v113(constB183)))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2767,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB183, bitIndex0)) | (~v113(constB183))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 134.69/85.36 tff(2768,plain,
% 134.69/85.36 (~v84(constB183, bitIndex0)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2767, 2764, 2752])).
% 134.69/85.36 tff(2769,assumption,(~v172(constB183)), introduced(assumption)).
% 134.69/85.36 tff(2770,plain,
% 134.69/85.36 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB183)) | (~v84(constB183, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB183)) | (~v84(constB183, bitIndex1)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2771,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB183)) | (~v84(constB183, bitIndex1)))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2772,plain,
% 134.69/85.36 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB183)) | (~v84(constB183, bitIndex1))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 134.69/85.36 tff(2773,plain,
% 134.69/85.36 (~v84(constB183, bitIndex1)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2772, 1465, 2752])).
% 134.69/85.36 tff(2774,plain,
% 134.69/85.36 (~v84(constB182, bitIndex0)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2222, 1886])).
% 134.69/85.36 tff(2775,plain,
% 134.69/85.36 (~v123(constB182, bitIndex0)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2231, 2774, 1334])).
% 134.69/85.36 tff(2776,plain,
% 134.69/85.36 (~v121(constB181, bitIndex0)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2239, 2775])).
% 134.69/85.36 tff(2777,plain,
% 134.69/85.36 (~v124(constB181, bitIndex0)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2212, 2776])).
% 134.69/85.36 tff(2778,plain,
% 134.69/85.36 (v84(constB183, bitIndex2)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2122, 2777, 1261, 1334])).
% 134.69/85.36 tff(2779,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[1894, 1047, 1886, 2778, 1261, 2769])).
% 134.69/85.36 tff(2780,plain,(v84(constB183, bitIndex0) | v84(constB183, bitIndex1) | v172(constB183) | (~v94(constB182))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2781,plain,
% 134.69/85.36 (~v94(constB182)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2780, 2773, 2769, 2768])).
% 134.69/85.36 tff(2782,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[1107, 2781, 2757])).
% 134.69/85.36 tff(2783,plain,((~v113(constB183)) | v172(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2784,plain,
% 134.69/85.36 (~v113(constB183)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2783, 2738])).
% 134.69/85.36 tff(2785,assumption,(v84(constB184, bitIndex2)), introduced(assumption)).
% 134.69/85.36 tff(2786,assumption,(~v123(constB184, bitIndex2)), introduced(assumption)).
% 134.69/85.36 tff(2787,plain,
% 134.69/85.36 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB184)) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB184)) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2788,plain,
% 134.69/85.36 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB184)) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2789,plain,
% 134.69/85.36 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB184)) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2)),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 134.69/85.36 tff(2790,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2789, 1344, 767, 2676, 2785, 2786])).
% 134.69/85.36 tff(2791,plain,((~v84(constB184, bitIndex2)) | (~v94(constB184)) | v123(constB184, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2792,plain,
% 134.69/85.36 (v123(constB184, bitIndex2)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2791, 2674, 2785])).
% 134.69/85.36 tff(2793,assumption,(~v121(constB183, bitIndex2)), introduced(assumption)).
% 134.69/85.36 tff(2794,assumption,(v123(constB184, bitIndex2)), introduced(assumption)).
% 134.69/85.36 tff(2795,plain,
% 134.69/85.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex2)) | (~v123(constB184, bitIndex2)) | v121(constB183, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex2)) | (~v123(constB184, bitIndex2)) | v121(constB183, bitIndex2))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2796,plain,
% 134.69/85.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex2)) | (~v123(constB184, bitIndex2)) | v121(constB183, bitIndex2))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2797,plain,
% 134.69/85.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex2)) | (~v123(constB184, bitIndex2)) | v121(constB183, bitIndex2)),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2796, 2795])).
% 134.69/85.36 tff(2798,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2797, 1362, 767, 451, 2794, 2793])).
% 134.69/85.36 tff(2799,plain,((~v123(constB184, bitIndex2)) | v121(constB183, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2800,plain,
% 134.69/85.36 (v121(constB183, bitIndex2)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2799, 2792])).
% 134.69/85.36 tff(2801,assumption,(v121(constB183, bitIndex2)), introduced(assumption)).
% 134.69/85.36 tff(2802,assumption,(~v124(constB183, bitIndex2)), introduced(assumption)).
% 134.69/85.36 tff(2803,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex2)) | (~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex2)) | (~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2804,plain,
% 134.69/85.36 ((v26(constB183) | (~less_3(bitIndex2)) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2))) <=> (v26(constB183) | (~less_3(bitIndex2)) | (~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2805,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex2)) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex2)) | (~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2)))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2804])).
% 134.69/85.36 tff(2806,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex2)) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex2)) | (~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2805, 2803])).
% 134.69/85.36 tff(2807,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex2)) | v124(constB183, bitIndex2) | (~v121(constB183, bitIndex2)))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2808,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex2)) | (~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2)),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2807, 2806])).
% 134.69/85.36 tff(2809,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2808, 1380, 767, 2699, 2802, 2801])).
% 134.69/85.36 tff(2810,plain,((~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.36 tff(2811,plain,
% 134.69/85.36 (v124(constB183, bitIndex2)),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2810, 2800])).
% 134.69/85.36 tff(2812,assumption,(v124(constB183, bitIndex2)), introduced(assumption)).
% 134.69/85.36 tff(2813,assumption,(v115(constB183)), introduced(assumption)).
% 134.69/85.36 tff(2814,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB183)) | (~v124(constB183, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2815,plain,
% 134.69/85.36 (((~v115(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.69/85.36 inference(rewrite,[status(thm)],[])).
% 134.69/85.36 tff(2816,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB183)) | (~v124(constB183, bitIndex2))))),
% 134.69/85.36 inference(monotonicity,[status(thm)],[2815])).
% 134.69/85.36 tff(2817,plain,
% 134.69/85.36 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.69/85.36 inference(transitivity,[status(thm)],[2816, 2814])).
% 134.69/85.36 tff(2818,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b011(bitIndex2))),
% 134.69/85.36 inference(quant_inst,[status(thm)],[])).
% 134.69/85.36 tff(2819,plain,
% 134.69/85.36 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB183)) | (~v124(constB183, bitIndex2))),
% 134.69/85.36 inference(modus_ponens,[status(thm)],[2818, 2817])).
% 134.69/85.36 tff(2820,plain,
% 134.69/85.36 ($false),
% 134.69/85.36 inference(unit_resolution,[status(thm)],[2819, 2030, 2257, 767, 2813, 2812])).
% 134.69/85.37 tff(2821,plain,((~v124(constB183, bitIndex2)) | (~v115(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.37 tff(2822,plain,
% 134.69/85.37 (~v115(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2821, 2811])).
% 134.69/85.37 tff(2823,assumption,(~v113(constB183)), introduced(assumption)).
% 134.69/85.37 tff(2824,assumption,(~v115(constB183)), introduced(assumption)).
% 134.69/85.37 tff(2825,plain,
% 134.69/85.37 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex2)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2826,plain,
% 134.69/85.37 ((v113(constB183) | v145(constB183) | v115(constB183) | v116(constB183) | v172(constB183) | v118(constB183) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex2)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2827,plain,
% 134.69/85.37 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB183) | v145(constB183) | v115(constB183) | v116(constB183) | v172(constB183) | v118(constB183) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex2))))),
% 134.69/85.37 inference(monotonicity,[status(thm)],[2826])).
% 134.69/85.37 tff(2828,plain,
% 134.69/85.37 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB183) | v145(constB183) | v115(constB183) | v116(constB183) | v172(constB183) | v118(constB183) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex2)))),
% 134.69/85.37 inference(transitivity,[status(thm)],[2827, 2825])).
% 134.69/85.37 tff(2829,plain,
% 134.69/85.37 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB183) | v145(constB183) | v115(constB183) | v116(constB183) | v172(constB183) | v118(constB183) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b001(bitIndex2))),
% 134.69/85.37 inference(quant_inst,[status(thm)],[])).
% 134.69/85.37 tff(2830,plain,
% 134.69/85.37 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex2))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2829, 2828])).
% 134.69/85.37 tff(2831,plain,
% 134.69/85.37 ($false),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2830, 2427, 2424, 767, 1279, 1277, 2812, 2824, 2769, 1942, 2823])).
% 134.69/85.37 tff(2832,plain,((~v124(constB183, bitIndex2)) | v145(constB183) | v116(constB183) | v115(constB183) | v172(constB183) | v118(constB183) | v113(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.69/85.37 tff(2833,plain,
% 134.69/85.37 (v118(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2832, 2822, 2728, 2738, 2718, 2811, 2784])).
% 134.69/85.37 tff(2834,plain,
% 134.69/85.37 (v108(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2454, 2833])).
% 134.69/85.37 tff(2835,plain,
% 134.69/85.37 (v84(constB183, bitIndex1)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2780, 2769, 1886, 1334])).
% 134.69/85.37 tff(2836,plain,
% 134.69/85.37 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2837,plain,
% 134.69/85.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2836])).
% 134.69/85.37 tff(2838,plain,
% 134.69/85.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2839,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_4')).
% 134.69/85.37 tff(2840,plain,
% 134.69/85.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 134.69/85.37 tff(2841,plain,(
% 134.69/85.37 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 134.69/85.37 inference(skolemize,[status(sab)],[2840])).
% 134.69/85.37 tff(2842,plain,
% 134.69/85.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2841, 2837])).
% 134.69/85.37 tff(2843,plain,
% 134.69/85.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB183, bitIndex1)) | (~v118(constB183)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB183, bitIndex1)) | (~v118(constB183)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2844,plain,
% 134.69/85.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB183, bitIndex1)) | (~v118(constB183)))),
% 134.69/85.37 inference(quant_inst,[status(thm)],[])).
% 134.69/85.37 tff(2845,plain,
% 134.69/85.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB183, bitIndex1)) | (~v118(constB183))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 134.69/85.37 tff(2846,plain,
% 134.69/85.37 (~v118(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2845, 2842, 2835])).
% 134.69/85.37 tff(2847,plain,
% 134.69/85.37 (^[VarCurr: $i] : refl((v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2848,plain,
% 134.69/85.37 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2847])).
% 134.69/85.37 tff(2849,plain,
% 134.69/85.37 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2850,plain,
% 134.69/85.37 (^[VarCurr: $i] : trans(monotonicity(rewrite((v118(VarCurr) | v109(VarCurr)) <=> (v109(VarCurr) | v118(VarCurr))), (((v118(VarCurr) | v109(VarCurr)) | (~v108(VarCurr))) <=> ((v109(VarCurr) | v118(VarCurr)) | (~v108(VarCurr))))), rewrite(((v109(VarCurr) | v118(VarCurr)) | (~v108(VarCurr))) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))), (((v118(VarCurr) | v109(VarCurr)) | (~v108(VarCurr))) <=> (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2851,plain,
% 134.69/85.37 (![VarCurr: $i] : ((v118(VarCurr) | v109(VarCurr)) | (~v108(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2850])).
% 134.69/85.37 tff(2852,axiom,(![VarCurr: $i] : ((v118(VarCurr) | v109(VarCurr)) | (~v108(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_23_1_3')).
% 134.69/85.37 tff(2853,plain,
% 134.69/85.37 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2852, 2851])).
% 134.69/85.37 tff(2854,plain,
% 134.69/85.37 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2853, 2849])).
% 134.69/85.37 tff(2855,plain,(
% 134.69/85.37 ![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 134.69/85.37 inference(skolemize,[status(sab)],[2854])).
% 134.69/85.37 tff(2856,plain,
% 134.69/85.37 (![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2855, 2848])).
% 134.69/85.37 tff(2857,plain,
% 134.69/85.37 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB183) | v118(constB183) | (~v108(constB183)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB183) | v118(constB183) | (~v108(constB183)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2858,plain,
% 134.69/85.37 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB183) | v118(constB183) | (~v108(constB183)))),
% 134.69/85.37 inference(quant_inst,[status(thm)],[])).
% 134.69/85.37 tff(2859,plain,
% 134.69/85.37 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB183) | v118(constB183) | (~v108(constB183))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 134.69/85.37 tff(2860,plain,
% 134.69/85.37 (v109(constB183) | v118(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2859, 2856, 1228])).
% 134.69/85.37 tff(2861,plain,
% 134.69/85.37 (v109(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2860, 2846])).
% 134.69/85.37 tff(2862,plain,
% 134.69/85.37 (^[VarCurr: $i] : refl((v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr)) <=> (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr)))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2863,plain,
% 134.69/85.37 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2862])).
% 134.69/85.37 tff(2864,plain,
% 134.69/85.37 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr)) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2865,plain,
% 134.69/85.37 (^[VarCurr: $i] : trans(monotonicity(rewrite((v172(VarCurr) | v110(VarCurr)) <=> (v110(VarCurr) | v172(VarCurr))), (((v172(VarCurr) | v110(VarCurr)) | (~v109(VarCurr))) <=> ((v110(VarCurr) | v172(VarCurr)) | (~v109(VarCurr))))), rewrite(((v110(VarCurr) | v172(VarCurr)) | (~v109(VarCurr))) <=> (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))), (((v172(VarCurr) | v110(VarCurr)) | (~v109(VarCurr))) <=> (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2866,plain,
% 134.69/85.37 (![VarCurr: $i] : ((v172(VarCurr) | v110(VarCurr)) | (~v109(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2865])).
% 134.69/85.37 tff(2867,axiom,(![VarCurr: $i] : ((v172(VarCurr) | v110(VarCurr)) | (~v109(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_22_1_1_3')).
% 134.69/85.37 tff(2868,plain,
% 134.69/85.37 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2867, 2866])).
% 134.69/85.37 tff(2869,plain,
% 134.69/85.37 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2868, 2864])).
% 134.69/85.37 tff(2870,plain,(
% 134.69/85.37 ![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 134.69/85.37 inference(skolemize,[status(sab)],[2869])).
% 134.69/85.37 tff(2871,plain,
% 134.69/85.37 (![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2870, 2863])).
% 134.69/85.37 tff(2872,plain,
% 134.69/85.37 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB183)) | v172(constB183) | v110(constB183))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB183)) | v172(constB183) | v110(constB183))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2873,plain,
% 134.69/85.37 ((v110(constB183) | (~v109(constB183)) | v172(constB183)) <=> ((~v109(constB183)) | v172(constB183) | v110(constB183))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2874,plain,
% 134.69/85.37 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB183) | (~v109(constB183)) | v172(constB183))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB183)) | v172(constB183) | v110(constB183)))),
% 134.69/85.37 inference(monotonicity,[status(thm)],[2873])).
% 134.69/85.37 tff(2875,plain,
% 134.69/85.37 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB183) | (~v109(constB183)) | v172(constB183))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB183)) | v172(constB183) | v110(constB183))),
% 134.69/85.37 inference(transitivity,[status(thm)],[2874, 2872])).
% 134.69/85.37 tff(2876,plain,
% 134.69/85.37 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB183) | (~v109(constB183)) | v172(constB183))),
% 134.69/85.37 inference(quant_inst,[status(thm)],[])).
% 134.69/85.37 tff(2877,plain,
% 134.69/85.37 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB183)) | v172(constB183) | v110(constB183)),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 134.69/85.37 tff(2878,plain,
% 134.69/85.37 (v110(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2877, 2871, 2861, 2769])).
% 134.69/85.37 tff(2879,plain,
% 134.69/85.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB183, bitIndex2)) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB183, bitIndex2)) | (~v115(constB183)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2880,plain,
% 134.69/85.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB183, bitIndex2)) | (~v115(constB183)))),
% 134.69/85.37 inference(quant_inst,[status(thm)],[])).
% 134.69/85.37 tff(2881,plain,
% 134.69/85.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB183, bitIndex2)) | (~v115(constB183))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 134.69/85.37 tff(2882,plain,
% 134.69/85.37 (~v115(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2881, 2665, 1325])).
% 134.69/85.37 tff(2883,plain,
% 134.69/85.37 (~v113(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2783, 2769])).
% 134.69/85.37 tff(2884,plain,
% 134.69/85.37 (~v145(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[1307, 2835])).
% 134.69/85.37 tff(2885,plain,
% 134.69/85.37 (^[VarCurr: $i] : refl((v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr)) <=> (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr)))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2886,plain,
% 134.69/85.37 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2885])).
% 134.69/85.37 tff(2887,plain,
% 134.69/85.37 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr)) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2888,plain,
% 134.69/85.37 (^[VarCurr: $i] : trans(monotonicity(rewrite((v145(VarCurr) | v113(VarCurr)) <=> (v113(VarCurr) | v145(VarCurr))), (((v145(VarCurr) | v113(VarCurr)) | (~v112(VarCurr))) <=> ((v113(VarCurr) | v145(VarCurr)) | (~v112(VarCurr))))), rewrite(((v113(VarCurr) | v145(VarCurr)) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))), (((v145(VarCurr) | v113(VarCurr)) | (~v112(VarCurr))) <=> (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2889,plain,
% 134.69/85.37 (![VarCurr: $i] : ((v145(VarCurr) | v113(VarCurr)) | (~v112(VarCurr))) <=> ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2888])).
% 134.69/85.37 tff(2890,axiom,(![VarCurr: $i] : ((v145(VarCurr) | v113(VarCurr)) | (~v112(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_19_1_1_3')).
% 134.69/85.37 tff(2891,plain,
% 134.69/85.37 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 134.69/85.37 tff(2892,plain,
% 134.69/85.37 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2891, 2887])).
% 134.69/85.37 tff(2893,plain,(
% 134.69/85.37 ![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 134.69/85.37 inference(skolemize,[status(sab)],[2892])).
% 134.69/85.37 tff(2894,plain,
% 134.69/85.37 (![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2893, 2886])).
% 134.69/85.37 tff(2895,plain,
% 134.69/85.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB183)) | v145(constB183) | v113(constB183))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB183)) | v145(constB183) | v113(constB183))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2896,plain,
% 134.69/85.37 ((v113(constB183) | (~v112(constB183)) | v145(constB183)) <=> ((~v112(constB183)) | v145(constB183) | v113(constB183))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2897,plain,
% 134.69/85.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB183) | (~v112(constB183)) | v145(constB183))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB183)) | v145(constB183) | v113(constB183)))),
% 134.69/85.37 inference(monotonicity,[status(thm)],[2896])).
% 134.69/85.37 tff(2898,plain,
% 134.69/85.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB183) | (~v112(constB183)) | v145(constB183))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB183)) | v145(constB183) | v113(constB183))),
% 134.69/85.37 inference(transitivity,[status(thm)],[2897, 2895])).
% 134.69/85.37 tff(2899,plain,
% 134.69/85.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB183) | (~v112(constB183)) | v145(constB183))),
% 134.69/85.37 inference(quant_inst,[status(thm)],[])).
% 134.69/85.37 tff(2900,plain,
% 134.69/85.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB183)) | v145(constB183) | v113(constB183)),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2899, 2898])).
% 134.69/85.37 tff(2901,plain,
% 134.69/85.37 (~v112(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2900, 2894, 2884, 2883])).
% 134.69/85.37 tff(2902,plain,
% 134.69/85.37 (^[VarCurr: $i] : refl((v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2903,plain,
% 134.69/85.37 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2902])).
% 134.69/85.37 tff(2904,plain,
% 134.69/85.37 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2905,plain,
% 134.69/85.37 (^[VarCurr: $i] : trans(monotonicity(rewrite((v115(VarCurr) | v112(VarCurr)) <=> (v112(VarCurr) | v115(VarCurr))), (((v115(VarCurr) | v112(VarCurr)) | (~v111(VarCurr))) <=> ((v112(VarCurr) | v115(VarCurr)) | (~v111(VarCurr))))), rewrite(((v112(VarCurr) | v115(VarCurr)) | (~v111(VarCurr))) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))), (((v115(VarCurr) | v112(VarCurr)) | (~v111(VarCurr))) <=> (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2906,plain,
% 134.69/85.37 (![VarCurr: $i] : ((v115(VarCurr) | v112(VarCurr)) | (~v111(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2905])).
% 134.69/85.37 tff(2907,axiom,(![VarCurr: $i] : ((v115(VarCurr) | v112(VarCurr)) | (~v111(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_20_1_3')).
% 134.69/85.37 tff(2908,plain,
% 134.69/85.37 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 134.69/85.37 tff(2909,plain,
% 134.69/85.37 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2908, 2904])).
% 134.69/85.37 tff(2910,plain,(
% 134.69/85.37 ![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 134.69/85.37 inference(skolemize,[status(sab)],[2909])).
% 134.69/85.37 tff(2911,plain,
% 134.69/85.37 (![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2910, 2903])).
% 134.69/85.37 tff(2912,plain,
% 134.69/85.37 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB183) | v115(constB183) | (~v111(constB183)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB183) | v115(constB183) | (~v111(constB183)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2913,plain,
% 134.69/85.37 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB183) | v115(constB183) | (~v111(constB183)))),
% 134.69/85.37 inference(quant_inst,[status(thm)],[])).
% 134.69/85.37 tff(2914,plain,
% 134.69/85.37 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB183) | v115(constB183) | (~v111(constB183))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 134.69/85.37 tff(2915,plain,
% 134.69/85.37 (v115(constB183) | (~v111(constB183))),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2914, 2911, 2901])).
% 134.69/85.37 tff(2916,plain,
% 134.69/85.37 (~v111(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2915, 2882])).
% 134.69/85.37 tff(2917,plain,
% 134.69/85.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB183, bitIndex2)) | (~v116(constB183)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB183, bitIndex2)) | (~v116(constB183)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2918,plain,
% 134.69/85.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB183, bitIndex2)) | (~v116(constB183)))),
% 134.69/85.37 inference(quant_inst,[status(thm)],[])).
% 134.69/85.37 tff(2919,plain,
% 134.69/85.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB183, bitIndex2)) | (~v116(constB183))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 134.69/85.37 tff(2920,plain,
% 134.69/85.37 ($false),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2919, 1130, 1325, 2719])).
% 134.69/85.37 tff(2921,plain,((~v84(constB183, bitIndex2)) | (~v116(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.69/85.37 tff(2922,plain,
% 134.69/85.37 (~v116(constB183)),
% 134.69/85.37 inference(unit_resolution,[status(thm)],[2921, 1325])).
% 134.69/85.37 tff(2923,plain,
% 134.69/85.37 (^[VarCurr: $i] : refl((v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2924,plain,
% 134.69/85.37 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2923])).
% 134.69/85.37 tff(2925,plain,
% 134.69/85.37 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 134.69/85.37 inference(rewrite,[status(thm)],[])).
% 134.69/85.37 tff(2926,plain,
% 134.69/85.37 (^[VarCurr: $i] : trans(monotonicity(rewrite((v116(VarCurr) | v111(VarCurr)) <=> (v111(VarCurr) | v116(VarCurr))), (((v116(VarCurr) | v111(VarCurr)) | (~v110(VarCurr))) <=> ((v111(VarCurr) | v116(VarCurr)) | (~v110(VarCurr))))), rewrite(((v111(VarCurr) | v116(VarCurr)) | (~v110(VarCurr))) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))), (((v116(VarCurr) | v111(VarCurr)) | (~v110(VarCurr))) <=> (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))))),
% 134.69/85.37 inference(bind,[status(th)],[])).
% 134.69/85.37 tff(2927,plain,
% 134.69/85.37 (![VarCurr: $i] : ((v116(VarCurr) | v111(VarCurr)) | (~v110(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 134.69/85.37 inference(quant_intro,[status(thm)],[2926])).
% 134.69/85.37 tff(2928,axiom,(![VarCurr: $i] : ((v116(VarCurr) | v111(VarCurr)) | (~v110(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_21_1_3')).
% 134.69/85.37 tff(2929,plain,
% 134.69/85.37 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 134.69/85.37 tff(2930,plain,
% 134.69/85.37 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 134.69/85.37 inference(modus_ponens,[status(thm)],[2929, 2925])).
% 134.69/85.37 tff(2931,plain,(
% 134.69/85.37 ![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 134.69/85.37 inference(skolemize,[status(sab)],[2930])).
% 134.73/85.37 tff(2932,plain,
% 134.73/85.37 (![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[2931, 2924])).
% 134.73/85.37 tff(2933,plain,
% 134.73/85.37 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB183) | v116(constB183) | (~v110(constB183)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB183) | v116(constB183) | (~v110(constB183)))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(2934,plain,
% 134.73/85.37 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB183) | v116(constB183) | (~v110(constB183)))),
% 134.73/85.37 inference(quant_inst,[status(thm)],[])).
% 134.73/85.37 tff(2935,plain,
% 134.73/85.37 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB183) | v116(constB183) | (~v110(constB183))),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[2934, 2933])).
% 134.73/85.37 tff(2936,plain,
% 134.73/85.37 ($false),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2935, 2932, 2922, 2916, 2878])).
% 134.73/85.37 tff(2937,plain,(v172(constB183) | (~v84(constB183, bitIndex2)) | (~v108(constB183)) | v84(constB183, bitIndex0) | (~v94(constB182))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.37 tff(2938,plain,
% 134.73/85.37 (~v84(constB183, bitIndex2)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2937, 1886, 1228, 2769, 1334])).
% 134.73/85.37 tff(2939,plain,
% 134.73/85.37 (~v84(constB182, bitIndex2)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2042, 2938])).
% 134.73/85.37 tff(2940,plain,
% 134.73/85.37 (v124(constB181, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2203, 2939, 855])).
% 134.73/85.37 tff(2941,plain,
% 134.73/85.37 ($false),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2212, 2940, 2776])).
% 134.73/85.37 tff(2942,plain,(v84(constB183, bitIndex0) | v145(constB181) | (~v94(constB182)) | (~v108(constB183)) | v172(constB183)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.37 tff(2943,plain,
% 134.73/85.37 (v84(constB183, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2942, 2834, 1334, 2751, 2738])).
% 134.73/85.37 tff(2944,plain,
% 134.73/85.37 (v84(constB183, bitIndex2)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1296, 2943, 2728, 2718])).
% 134.73/85.37 tff(2945,plain,
% 134.73/85.37 (v84(constB182, bitIndex2)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1330, 2944])).
% 134.73/85.37 tff(2946,plain,
% 134.73/85.37 (v123(constB182, bitIndex2)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1349, 2945, 1334])).
% 134.73/85.37 tff(2947,plain,
% 134.73/85.37 (v121(constB181, bitIndex2)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1367, 2946])).
% 134.73/85.37 tff(2948,plain,
% 134.73/85.37 (v124(constB181, bitIndex2)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1403, 2947])).
% 134.73/85.37 tff(2949,assumption,(v115(constB181)), introduced(assumption)).
% 134.73/85.37 tff(2950,plain,
% 134.73/85.37 ($false),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2263, 2030, 2257, 767, 2949, 1405])).
% 134.73/85.37 tff(2951,plain,((~v124(constB181, bitIndex2)) | (~v115(constB181))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.37 tff(2952,plain,
% 134.73/85.37 (~v115(constB181)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2951, 2948])).
% 134.73/85.37 tff(2953,plain,
% 134.73/85.37 (v84(constB182, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1936, 2943])).
% 134.73/85.37 tff(2954,plain,
% 134.73/85.37 ($false),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1968, 1344, 795, 1334, 837, 2233])).
% 134.73/85.37 tff(2955,plain,((~v84(constB182, bitIndex0)) | (~v94(constB182)) | v123(constB182, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.37 tff(2956,plain,
% 134.73/85.37 (v123(constB182, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2955, 2953, 1334])).
% 134.73/85.37 tff(2957,plain,
% 134.73/85.37 (v121(constB181, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1977, 2956])).
% 134.73/85.37 tff(2958,plain,
% 134.73/85.37 ($false),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1981, 1380, 795, 1175, 927, 2234])).
% 134.73/85.37 tff(2959,plain,((~v121(constB181, bitIndex0)) | v124(constB181, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.37 tff(2960,plain,
% 134.73/85.37 (v124(constB181, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2959, 2957])).
% 134.73/85.37 tff(2961,plain,
% 134.73/85.37 (~v172(constB181)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2005, 2960])).
% 134.73/85.37 tff(2962,assumption,(v84(constB184, bitIndex1)), introduced(assumption)).
% 134.73/85.37 tff(2963,assumption,(~v123(constB184, bitIndex1)), introduced(assumption)).
% 134.73/85.37 tff(2964,plain,
% 134.73/85.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB184)) | (~v84(constB184, bitIndex1)) | v123(constB184, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB184)) | (~v84(constB184, bitIndex1)) | v123(constB184, bitIndex1))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(2965,plain,
% 134.73/85.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB184)) | (~v84(constB184, bitIndex1)) | v123(constB184, bitIndex1))),
% 134.73/85.37 inference(quant_inst,[status(thm)],[])).
% 134.73/85.37 tff(2966,plain,
% 134.73/85.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB184)) | (~v84(constB184, bitIndex1)) | v123(constB184, bitIndex1)),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 134.73/85.37 tff(2967,plain,
% 134.73/85.37 ($false),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2966, 1344, 823, 2676, 2962, 2963])).
% 134.73/85.37 tff(2968,plain,((~v84(constB184, bitIndex1)) | (~v94(constB184)) | v123(constB184, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.37 tff(2969,plain,
% 134.73/85.37 (v123(constB184, bitIndex1)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2968, 2674, 2962])).
% 134.73/85.37 tff(2970,assumption,(~v121(constB183, bitIndex1)), introduced(assumption)).
% 134.73/85.37 tff(2971,assumption,(v123(constB184, bitIndex1)), introduced(assumption)).
% 134.73/85.37 tff(2972,plain,
% 134.73/85.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v121(constB183, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v121(constB183, bitIndex1))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(2973,plain,
% 134.73/85.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v121(constB183, bitIndex1))),
% 134.73/85.37 inference(quant_inst,[status(thm)],[])).
% 134.73/85.37 tff(2974,plain,
% 134.73/85.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v121(constB183, bitIndex1)),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 134.73/85.37 tff(2975,plain,
% 134.73/85.37 ($false),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2974, 1362, 823, 451, 2971, 2970])).
% 134.73/85.37 tff(2976,plain,((~v123(constB184, bitIndex1)) | v121(constB183, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.37 tff(2977,plain,
% 134.73/85.37 (v121(constB183, bitIndex1)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2976, 2969])).
% 134.73/85.37 tff(2978,assumption,(v121(constB183, bitIndex1)), introduced(assumption)).
% 134.73/85.37 tff(2979,assumption,(~v124(constB183, bitIndex1)), introduced(assumption)).
% 134.73/85.37 tff(2980,plain,
% 134.73/85.37 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex1)) | v124(constB183, bitIndex1) | (~v121(constB183, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex1)) | v124(constB183, bitIndex1) | (~v121(constB183, bitIndex1)))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(2981,plain,
% 134.73/85.37 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex1)) | v124(constB183, bitIndex1) | (~v121(constB183, bitIndex1)))),
% 134.73/85.37 inference(quant_inst,[status(thm)],[])).
% 134.73/85.37 tff(2982,plain,
% 134.73/85.37 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex1)) | v124(constB183, bitIndex1) | (~v121(constB183, bitIndex1))),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[2981, 2980])).
% 134.73/85.37 tff(2983,plain,
% 134.73/85.37 ($false),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2982, 1380, 823, 2699, 2979, 2978])).
% 134.73/85.37 tff(2984,plain,((~v121(constB183, bitIndex1)) | v124(constB183, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.37 tff(2985,plain,
% 134.73/85.37 (v124(constB183, bitIndex1)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2984, 2977])).
% 134.73/85.37 tff(2986,plain,
% 134.73/85.37 (v84(constB181, bitIndex1)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2447, 2961, 2751])).
% 134.73/85.37 tff(2987,assumption,(v124(constB183, bitIndex1)), introduced(assumption)).
% 134.73/85.37 tff(2988,plain,
% 134.73/85.37 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB183)) | (~v124(constB183, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB183)) | (~v124(constB183, bitIndex1)))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(2989,plain,
% 134.73/85.37 (((~v113(constB183)) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB183)) | (~v124(constB183, bitIndex1)))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(2990,plain,
% 134.73/85.37 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB183)) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB183)) | (~v124(constB183, bitIndex1))))),
% 134.73/85.37 inference(monotonicity,[status(thm)],[2989])).
% 134.73/85.37 tff(2991,plain,
% 134.73/85.37 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB183)) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB183)) | (~v124(constB183, bitIndex1)))),
% 134.73/85.37 inference(transitivity,[status(thm)],[2990, 2988])).
% 134.73/85.37 tff(2992,plain,
% 134.73/85.37 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB183)) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b100(bitIndex1))),
% 134.73/85.37 inference(quant_inst,[status(thm)],[])).
% 134.73/85.37 tff(2993,plain,
% 134.73/85.37 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB183)) | (~v124(constB183, bitIndex1))),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[2992, 2991])).
% 134.73/85.37 tff(2994,plain,
% 134.73/85.37 (~v113(constB183)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2993, 2167, 2186, 823, 2987])).
% 134.73/85.37 tff(2995,plain,
% 134.73/85.37 (~v145(constB183)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2717, 2709])).
% 134.73/85.37 tff(2996,plain,
% 134.73/85.37 (~v172(constB183)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2737, 2709])).
% 134.73/85.37 tff(2997,plain,
% 134.73/85.37 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB183)) | (~v124(constB183, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB183)) | (~v124(constB183, bitIndex1)))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(2998,plain,
% 134.73/85.37 (((~v116(constB183)) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB183)) | (~v124(constB183, bitIndex1)))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(2999,plain,
% 134.73/85.37 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB183)) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB183)) | (~v124(constB183, bitIndex1))))),
% 134.73/85.37 inference(monotonicity,[status(thm)],[2998])).
% 134.73/85.37 tff(3000,plain,
% 134.73/85.37 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB183)) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB183)) | (~v124(constB183, bitIndex1)))),
% 134.73/85.37 inference(transitivity,[status(thm)],[2999, 2997])).
% 134.73/85.37 tff(3001,plain,
% 134.73/85.37 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB183)) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b100(bitIndex1))),
% 134.73/85.37 inference(quant_inst,[status(thm)],[])).
% 134.73/85.37 tff(3002,plain,
% 134.73/85.37 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB183)) | (~v124(constB183, bitIndex1))),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[3001, 3000])).
% 134.73/85.37 tff(3003,plain,
% 134.73/85.37 (~v116(constB183)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[3002, 2167, 2164, 823, 2987])).
% 134.73/85.37 tff(3004,plain,
% 134.73/85.37 (v84(constB183, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2942, 2996, 1334, 1228, 855])).
% 134.73/85.37 tff(3005,plain,
% 134.73/85.37 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))))),
% 134.73/85.37 inference(bind,[status(th)],[])).
% 134.73/85.37 tff(3006,plain,
% 134.73/85.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 134.73/85.37 inference(quant_intro,[status(thm)],[3005])).
% 134.73/85.37 tff(3007,plain,
% 134.73/85.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(3008,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_4')).
% 134.73/85.37 tff(3009,plain,
% 134.73/85.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[3008, 3007])).
% 134.73/85.37 tff(3010,plain,(
% 134.73/85.37 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 134.73/85.37 inference(skolemize,[status(sab)],[3009])).
% 134.73/85.37 tff(3011,plain,
% 134.73/85.37 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[3010, 3006])).
% 134.73/85.37 tff(3012,plain,
% 134.73/85.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB183, bitIndex0)) | (~v115(constB183)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB183, bitIndex0)) | (~v115(constB183)))),
% 134.73/85.37 inference(rewrite,[status(thm)],[])).
% 134.73/85.37 tff(3013,plain,
% 134.73/85.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB183, bitIndex0)) | (~v115(constB183)))),
% 134.73/85.37 inference(quant_inst,[status(thm)],[])).
% 134.73/85.37 tff(3014,plain,
% 134.73/85.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB183, bitIndex0)) | (~v115(constB183))),
% 134.73/85.37 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 134.73/85.37 tff(3015,plain,
% 134.73/85.37 (~v115(constB183)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[3014, 3011, 3004])).
% 134.73/85.37 tff(3016,plain,
% 134.73/85.37 (v84(constB182, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1936, 3004])).
% 134.73/85.37 tff(3017,plain,
% 134.73/85.37 (v123(constB182, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2955, 3016, 1334])).
% 134.73/85.37 tff(3018,plain,
% 134.73/85.37 (v121(constB181, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[1977, 3017])).
% 134.73/85.37 tff(3019,plain,
% 134.73/85.37 (v124(constB181, bitIndex0)),
% 134.73/85.37 inference(unit_resolution,[status(thm)],[2959, 3018])).
% 134.73/85.37 tff(3020,plain,
% 134.73/85.37 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB181)) | (~v124(constB181, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3021,plain,
% 134.73/85.38 (((~v116(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3022,plain,
% 134.73/85.38 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB181)) | (~v124(constB181, bitIndex0))))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3021])).
% 134.73/85.38 tff(3023,plain,
% 134.73/85.38 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB181)) | (~v124(constB181, bitIndex0)))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3022, 3020])).
% 134.73/85.38 tff(3024,plain,
% 134.73/85.38 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB181)) | (~less_3(bitIndex0)) | (~v124(constB181, bitIndex0)) | b100(bitIndex0))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3025,plain,
% 134.73/85.38 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB181)) | (~v124(constB181, bitIndex0))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3024, 3023])).
% 134.73/85.38 tff(3026,plain,
% 134.73/85.38 (~v116(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3025, 2386, 2164, 795, 1983])).
% 134.73/85.38 tff(3027,plain,
% 134.73/85.38 (v94(constB182)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[1056, 828])).
% 134.73/85.38 tff(3028,plain,
% 134.73/85.38 (~v123(constB182, bitIndex1)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2080, 1674, 823, 3027, 828])).
% 134.73/85.38 tff(3029,plain,
% 134.73/85.38 (~v121(constB181, bitIndex1)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2087, 1708, 823, 531, 3028])).
% 134.73/85.38 tff(3030,plain,
% 134.73/85.38 (~v124(constB181, bitIndex1)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2094, 1728, 823, 1175, 3029])).
% 134.73/85.38 tff(3031,plain,
% 134.73/85.38 (b011(bitIndex1) <=> b011(bitIndex1)),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3032,axiom,(b011(bitIndex1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bitBlastConstant_10_1')).
% 134.73/85.38 tff(3033,plain,
% 134.73/85.38 (b011(bitIndex1)),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3032, 3031])).
% 134.73/85.38 tff(3034,plain,
% 134.73/85.38 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB181)) | (~b011(bitIndex1)) | v124(constB181, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB181)) | (~b011(bitIndex1)) | v124(constB181, bitIndex1))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3035,plain,
% 134.73/85.38 (((~v115(constB181)) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB181)) | (~b011(bitIndex1)) | v124(constB181, bitIndex1))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3036,plain,
% 134.73/85.38 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB181)) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB181)) | (~b011(bitIndex1)) | v124(constB181, bitIndex1)))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3035])).
% 134.73/85.38 tff(3037,plain,
% 134.73/85.38 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB181)) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB181)) | (~b011(bitIndex1)) | v124(constB181, bitIndex1))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3036, 3034])).
% 134.73/85.38 tff(3038,plain,
% 134.73/85.38 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB181)) | (~less_3(bitIndex1)) | v124(constB181, bitIndex1) | (~b011(bitIndex1)))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3039,plain,
% 134.73/85.38 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB181)) | (~b011(bitIndex1)) | v124(constB181, bitIndex1)),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 134.73/85.38 tff(3040,plain,
% 134.73/85.38 (~v115(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3039, 3033, 1193, 823, 3030])).
% 134.73/85.38 tff(3041,plain,
% 134.73/85.38 ($false),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[1104, 3040, 3026, 1065, 950])).
% 134.73/85.38 tff(3042,plain,((~v124(constB181, bitIndex0)) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB182, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.38 tff(3043,plain,
% 134.73/85.38 (v84(constB182, bitIndex1)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3042, 3019, 950, 1065])).
% 134.73/85.38 tff(3044,plain,
% 134.73/85.38 ($false),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[826, 777, 823, 732, 764, 1958, 1261])).
% 134.73/85.38 tff(3045,plain,(v84(constB183, bitIndex1) | (~v84(constB182, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.38 tff(3046,plain,
% 134.73/85.38 (v84(constB183, bitIndex1)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3045, 3043])).
% 134.73/85.38 tff(3047,plain,
% 134.73/85.38 (~v118(constB183)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2845, 2842, 3046])).
% 134.73/85.38 tff(3048,plain,
% 134.73/85.38 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex1)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3049,plain,
% 134.73/85.38 ((v113(constB183) | v145(constB183) | v115(constB183) | v116(constB183) | v172(constB183) | v118(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex1)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3050,plain,
% 134.73/85.38 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB183) | v145(constB183) | v115(constB183) | v116(constB183) | v172(constB183) | v118(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex1))))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3049])).
% 134.73/85.38 tff(3051,plain,
% 134.73/85.38 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB183) | v145(constB183) | v115(constB183) | v116(constB183) | v172(constB183) | v118(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex1)))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3050, 3048])).
% 134.73/85.38 tff(3052,plain,
% 134.73/85.38 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB183) | v145(constB183) | v115(constB183) | v116(constB183) | v172(constB183) | v118(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | b001(bitIndex1))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3053,plain,
% 134.73/85.38 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183) | (~v124(constB183, bitIndex1))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3052, 3051])).
% 134.73/85.38 tff(3054,plain,
% 134.73/85.38 (v118(constB183) | v172(constB183) | v116(constB183) | v115(constB183) | v145(constB183) | v113(constB183)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3053, 2601, 2424, 823, 2987])).
% 134.73/85.38 tff(3055,plain,
% 134.73/85.38 ($false),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3054, 3047, 3015, 3003, 2996, 2995, 2994])).
% 134.73/85.38 tff(3056,plain,((~v124(constB183, bitIndex0)) | (~v124(constB183, bitIndex1)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex2) | (~v94(constB182)) | (~v108(constB183)) | v145(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.38 tff(3057,plain,
% 134.73/85.38 (v84(constB181, bitIndex2)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3056, 2986, 2985, 2708, 1334, 2834, 2751])).
% 134.73/85.38 tff(3058,plain,
% 134.73/85.38 (~v116(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2280, 3057])).
% 134.73/85.38 tff(3059,plain,
% 134.73/85.38 (v118(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2657, 3058, 2961, 2948, 2751, 2952])).
% 134.73/85.38 tff(3060,plain,
% 134.73/85.38 ($false),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2648, 2642, 1868, 3059])).
% 134.73/85.38 tff(3061,plain,(v84(constB181, bitIndex0) | (~v94(constB182)) | (~v84(constB184, bitIndex2)) | (~v84(constB184, bitIndex0)) | (~v84(constB184, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.38 tff(3062,plain,
% 134.73/85.38 (v84(constB181, bitIndex0)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3061, 2495, 1334, 2484, 2469])).
% 134.73/85.38 tff(3063,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v113(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3064,plain,
% 134.73/85.38 (((~v84(constB181, bitIndex0)) | (~v113(constB181))) <=> ((~v113(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3065,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v113(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v113(constB181)) | (~v84(constB181, bitIndex0))))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3064])).
% 134.73/85.38 tff(3066,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v113(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v113(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3065, 3063])).
% 134.73/85.38 tff(3067,plain,
% 134.73/85.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v113(constB181)))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3068,plain,
% 134.73/85.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v113(constB181)) | (~v84(constB181, bitIndex0))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3067, 3066])).
% 134.73/85.38 tff(3069,plain,
% 134.73/85.38 (~v113(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3068, 2764, 1878])).
% 134.73/85.38 tff(3070,plain,
% 134.73/85.38 (~v145(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2746, 816, 950])).
% 134.73/85.38 tff(3071,assumption,(v112(constB181)), introduced(assumption)).
% 134.73/85.38 tff(3072,plain,
% 134.73/85.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB181) | v113(constB181) | (~v112(constB181)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB181) | v113(constB181) | (~v112(constB181)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3073,plain,
% 134.73/85.38 ((v113(constB181) | (~v112(constB181)) | v145(constB181)) <=> (v145(constB181) | v113(constB181) | (~v112(constB181)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3074,plain,
% 134.73/85.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB181) | (~v112(constB181)) | v145(constB181))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB181) | v113(constB181) | (~v112(constB181))))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3073])).
% 134.73/85.38 tff(3075,plain,
% 134.73/85.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB181) | (~v112(constB181)) | v145(constB181))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB181) | v113(constB181) | (~v112(constB181)))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3074, 3072])).
% 134.73/85.38 tff(3076,plain,
% 134.73/85.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB181) | (~v112(constB181)) | v145(constB181))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3077,plain,
% 134.73/85.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB181) | v113(constB181) | (~v112(constB181))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3076, 3075])).
% 134.73/85.38 tff(3078,plain,
% 134.73/85.38 (v145(constB181) | v113(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3077, 2894, 3071])).
% 134.73/85.38 tff(3079,plain,
% 134.73/85.38 ($false),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3078, 3070, 3069])).
% 134.73/85.38 tff(3080,plain,((~v112(constB181)) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.38 tff(3081,plain,
% 134.73/85.38 (~v112(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3080, 3062, 2448])).
% 134.73/85.38 tff(3082,plain,
% 134.73/85.38 (v84(constB180, bitIndex1)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2442, 2295])).
% 134.73/85.38 tff(3083,plain,
% 134.73/85.38 (~v94(constB180)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2670, 926])).
% 134.73/85.38 tff(3084,plain,
% 134.73/85.38 (v84(constB180, bitIndex0)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2535, 1503])).
% 134.73/85.38 tff(3085,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v116(constB179))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v116(constB179))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3086,plain,
% 134.73/85.38 (((~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v116(constB179)) <=> ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v116(constB179))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3087,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v116(constB179))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v116(constB179)))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3086])).
% 134.73/85.38 tff(3088,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v116(constB179))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v116(constB179))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3087, 3085])).
% 134.73/85.38 tff(3089,plain,
% 134.73/85.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex1)) | v84(constB179, bitIndex2) | v116(constB179))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3090,plain,
% 134.73/85.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB179, bitIndex0)) | v84(constB179, bitIndex2) | (~v84(constB179, bitIndex1)) | v116(constB179)),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 134.73/85.38 tff(3091,plain,
% 134.73/85.38 (v116(constB179)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3090, 1076, 2503, 1511, 1639])).
% 134.73/85.38 tff(3092,plain,
% 134.73/85.38 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB179) | (~v116(constB179)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB179) | (~v116(constB179)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3093,plain,
% 134.73/85.38 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB179) | (~v116(constB179)))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3094,plain,
% 134.73/85.38 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB179) | (~v116(constB179))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3093, 3092])).
% 134.73/85.38 tff(3095,plain,
% 134.73/85.38 (v110(constB179)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3094, 934, 3091])).
% 134.73/85.38 tff(3096,plain,
% 134.73/85.38 (v109(constB179)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[1597, 680, 3095])).
% 134.73/85.38 tff(3097,plain,
% 134.73/85.38 ($false),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[1593, 669, 3096, 1613])).
% 134.73/85.38 tff(3098,plain,(v94(constB180) | (~v84(constB180, bitIndex0)) | v84(constB180, bitIndex2) | (~v84(constB180, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.38 tff(3099,plain,
% 134.73/85.38 ($false),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3098, 3084, 1503, 1470, 1481])).
% 134.73/85.38 tff(3100,plain,(v94(constB180) | (~v84(constB180, bitIndex1)) | v84(constB180, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.38 tff(3101,plain,
% 134.73/85.38 (v84(constB180, bitIndex2)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3100, 3083, 3082])).
% 134.73/85.38 tff(3102,plain,
% 134.73/85.38 (v84(constB181, bitIndex2)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[1454, 3101])).
% 134.73/85.38 tff(3103,plain,
% 134.73/85.38 (~v116(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[2280, 3102])).
% 134.73/85.38 tff(3104,plain,
% 134.73/85.38 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3105,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3104])).
% 134.73/85.38 tff(3106,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3107,plain,
% 134.73/85.38 (^[VarNext: $i, VarCurr: $i] : rewrite(((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3108,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3107])).
% 134.73/85.38 tff(3109,axiom,(![VarNext: $i, VarCurr: $i] : ((v104(VarNext) | (~v94(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_27_1_2')).
% 134.73/85.38 tff(3110,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 134.73/85.38 tff(3111,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3110, 3106])).
% 134.73/85.38 tff(3112,plain,(
% 134.73/85.38 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 134.73/85.38 inference(skolemize,[status(sab)],[3111])).
% 134.73/85.38 tff(3113,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3112, 3105])).
% 134.73/85.38 tff(3114,plain,
% 134.73/85.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v94(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v94(constB182)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3115,plain,
% 134.73/85.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB181, constB182)) | v104(constB182) | (~v94(constB182)))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3116,plain,
% 134.73/85.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB181, constB182)) | v104(constB182) | (~v94(constB182))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 134.73/85.38 tff(3117,plain,
% 134.73/85.38 (v104(constB182) | (~v94(constB182))),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3116, 3113, 531])).
% 134.73/85.38 tff(3118,plain,
% 134.73/85.38 (v104(constB182)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3117, 1334])).
% 134.73/85.38 tff(3119,plain,
% 134.73/85.38 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3120,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3119])).
% 134.73/85.38 tff(3121,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3122,plain,
% 134.73/85.38 (^[VarNext: $i, VarCurr: $i] : rewrite(((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3123,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3122])).
% 134.73/85.38 tff(3124,axiom,(![VarNext: $i, VarCurr: $i] : ((v102(VarCurr) | (~v104(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_6_1_2')).
% 134.73/85.38 tff(3125,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 134.73/85.38 tff(3126,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3125, 3121])).
% 134.73/85.38 tff(3127,plain,(
% 134.73/85.38 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 134.73/85.38 inference(skolemize,[status(sab)],[3126])).
% 134.73/85.38 tff(3128,plain,
% 134.73/85.38 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3127, 3120])).
% 134.73/85.38 tff(3129,plain,
% 134.73/85.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB181, constB182)) | (~v104(constB182)) | v102(constB181))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB181, constB182)) | (~v104(constB182)) | v102(constB181))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3130,plain,
% 134.73/85.38 (((~nextState(constB181, constB182)) | v102(constB181) | (~v104(constB182))) <=> ((~nextState(constB181, constB182)) | (~v104(constB182)) | v102(constB181))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3131,plain,
% 134.73/85.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB181, constB182)) | v102(constB181) | (~v104(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB181, constB182)) | (~v104(constB182)) | v102(constB181)))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3130])).
% 134.73/85.38 tff(3132,plain,
% 134.73/85.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB181, constB182)) | v102(constB181) | (~v104(constB182)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB181, constB182)) | (~v104(constB182)) | v102(constB181))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3131, 3129])).
% 134.73/85.38 tff(3133,plain,
% 134.73/85.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB181, constB182)) | v102(constB181) | (~v104(constB182)))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3134,plain,
% 134.73/85.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB181, constB182)) | (~v104(constB182)) | v102(constB181)),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3133, 3132])).
% 134.73/85.38 tff(3135,plain,
% 134.73/85.38 ((~v104(constB182)) | v102(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3134, 3128, 531])).
% 134.73/85.38 tff(3136,plain,
% 134.73/85.38 (v102(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3135, 3118])).
% 134.73/85.38 tff(3137,plain,
% 134.73/85.38 (^[VarCurr: $i] : refl((v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3138,plain,
% 134.73/85.38 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3137])).
% 134.73/85.38 tff(3139,plain,
% 134.73/85.38 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3140,plain,
% 134.73/85.38 (^[VarCurr: $i] : rewrite(((v106(VarCurr) | v26(VarCurr)) | (~v102(VarCurr))) <=> (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3141,plain,
% 134.73/85.38 (![VarCurr: $i] : ((v106(VarCurr) | v26(VarCurr)) | (~v102(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3140])).
% 134.73/85.38 tff(3142,axiom,(![VarCurr: $i] : ((v106(VarCurr) | v26(VarCurr)) | (~v102(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_26_1_1_3')).
% 134.73/85.38 tff(3143,plain,
% 134.73/85.38 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 134.73/85.38 tff(3144,plain,
% 134.73/85.38 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3143, 3139])).
% 134.73/85.38 tff(3145,plain,(
% 134.73/85.38 ![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 134.73/85.38 inference(skolemize,[status(sab)],[3144])).
% 134.73/85.38 tff(3146,plain,
% 134.73/85.38 (![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3145, 3138])).
% 134.73/85.38 tff(3147,plain,
% 134.73/85.38 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB181)) | v26(constB181) | v106(constB181))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB181)) | v26(constB181) | v106(constB181))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3148,plain,
% 134.73/85.38 ((v26(constB181) | v106(constB181) | (~v102(constB181))) <=> ((~v102(constB181)) | v26(constB181) | v106(constB181))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3149,plain,
% 134.73/85.38 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB181) | v106(constB181) | (~v102(constB181)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB181)) | v26(constB181) | v106(constB181)))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3148])).
% 134.73/85.38 tff(3150,plain,
% 134.73/85.38 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB181) | v106(constB181) | (~v102(constB181)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB181)) | v26(constB181) | v106(constB181))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3149, 3147])).
% 134.73/85.38 tff(3151,plain,
% 134.73/85.38 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB181) | v106(constB181) | (~v102(constB181)))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3152,plain,
% 134.73/85.38 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB181)) | v26(constB181) | v106(constB181)),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3151, 3150])).
% 134.73/85.38 tff(3153,plain,
% 134.73/85.38 ((~v102(constB181)) | v106(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3152, 3146, 1175])).
% 134.73/85.38 tff(3154,plain,
% 134.73/85.38 (v106(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3153, 3136])).
% 134.73/85.38 tff(3155,plain,
% 134.73/85.38 (^[VarCurr: $i] : refl((v107(VarCurr) | (~v106(VarCurr))) <=> (v107(VarCurr) | (~v106(VarCurr))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3156,plain,
% 134.73/85.38 (![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3155])).
% 134.73/85.38 tff(3157,plain,
% 134.73/85.38 (![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3158,axiom,(![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_25_1_1_2')).
% 134.73/85.38 tff(3159,plain,
% 134.73/85.38 (![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3158, 3157])).
% 134.73/85.38 tff(3160,plain,(
% 134.73/85.38 ![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 134.73/85.38 inference(skolemize,[status(sab)],[3159])).
% 134.73/85.38 tff(3161,plain,
% 134.73/85.38 (![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3160, 3156])).
% 134.73/85.38 tff(3162,plain,
% 134.73/85.38 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB181) | (~v106(constB181)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB181) | (~v106(constB181)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3163,plain,
% 134.73/85.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB181) | (~v106(constB181)))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3164,plain,
% 134.73/85.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB181) | (~v106(constB181))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3163, 3162])).
% 134.73/85.38 tff(3165,plain,
% 134.73/85.38 (v107(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3164, 3161, 3154])).
% 134.73/85.38 tff(3166,assumption,(v119(constB181)), introduced(assumption)).
% 134.73/85.38 tff(3167,plain,
% 134.73/85.38 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3168,plain,
% 134.73/85.38 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3167])).
% 134.73/85.38 tff(3169,plain,
% 134.73/85.38 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3170,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_4')).
% 134.73/85.38 tff(3171,plain,
% 134.73/85.38 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 134.73/85.38 tff(3172,plain,(
% 134.73/85.38 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 134.73/85.38 inference(skolemize,[status(sab)],[3171])).
% 134.73/85.38 tff(3173,plain,
% 134.73/85.38 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3172, 3168])).
% 134.73/85.38 tff(3174,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB181)) | (~v84(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3175,plain,
% 134.73/85.38 (((~v84(constB181, bitIndex0)) | (~v119(constB181))) <=> ((~v119(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3176,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v119(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB181)) | (~v84(constB181, bitIndex0))))),
% 134.73/85.38 inference(monotonicity,[status(thm)],[3175])).
% 134.73/85.38 tff(3177,plain,
% 134.73/85.38 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v119(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.38 inference(transitivity,[status(thm)],[3176, 3174])).
% 134.73/85.38 tff(3178,plain,
% 134.73/85.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v119(constB181)))),
% 134.73/85.38 inference(quant_inst,[status(thm)],[])).
% 134.73/85.38 tff(3179,plain,
% 134.73/85.38 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB181)) | (~v84(constB181, bitIndex0))),
% 134.73/85.38 inference(modus_ponens,[status(thm)],[3178, 3177])).
% 134.73/85.38 tff(3180,plain,
% 134.73/85.38 ($false),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3179, 3173, 3166, 1878])).
% 134.73/85.38 tff(3181,plain,((~v119(constB181)) | (~v84(constB181, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.38 tff(3182,plain,
% 134.73/85.38 (~v119(constB181)),
% 134.73/85.38 inference(unit_resolution,[status(thm)],[3181, 3062])).
% 134.73/85.38 tff(3183,assumption,(~v108(constB181)), introduced(assumption)).
% 134.73/85.38 tff(3184,assumption,(v107(constB181)), introduced(assumption)).
% 134.73/85.38 tff(3185,assumption,(~v119(constB181)), introduced(assumption)).
% 134.73/85.38 tff(3186,plain,
% 134.73/85.38 (^[VarCurr: $i] : refl((v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))))),
% 134.73/85.38 inference(bind,[status(th)],[])).
% 134.73/85.38 tff(3187,plain,
% 134.73/85.38 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 134.73/85.38 inference(quant_intro,[status(thm)],[3186])).
% 134.73/85.38 tff(3188,plain,
% 134.73/85.38 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 134.73/85.38 inference(rewrite,[status(thm)],[])).
% 134.73/85.38 tff(3189,plain,
% 134.73/85.38 (^[VarCurr: $i] : trans(monotonicity(rewrite((v119(VarCurr) | v108(VarCurr)) <=> (v108(VarCurr) | v119(VarCurr))), (((v119(VarCurr) | v108(VarCurr)) | (~v107(VarCurr))) <=> ((v108(VarCurr) | v119(VarCurr)) | (~v107(VarCurr))))), rewrite(((v108(VarCurr) | v119(VarCurr)) | (~v107(VarCurr))) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))), (((v119(VarCurr) | v108(VarCurr)) | (~v107(VarCurr))) <=> (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3190,plain,
% 134.73/85.39 (![VarCurr: $i] : ((v119(VarCurr) | v108(VarCurr)) | (~v107(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3189])).
% 134.73/85.39 tff(3191,axiom,(![VarCurr: $i] : ((v119(VarCurr) | v108(VarCurr)) | (~v107(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_24_1_3')).
% 134.73/85.39 tff(3192,plain,
% 134.73/85.39 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 134.73/85.39 tff(3193,plain,
% 134.73/85.39 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3192, 3188])).
% 134.73/85.39 tff(3194,plain,(
% 134.73/85.39 ![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3193])).
% 134.73/85.39 tff(3195,plain,
% 134.73/85.39 (![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3194, 3187])).
% 134.73/85.39 tff(3196,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB181) | v119(constB181) | (~v107(constB181)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB181) | v119(constB181) | (~v107(constB181)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3197,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB181) | v119(constB181) | (~v107(constB181)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3198,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB181) | v119(constB181) | (~v107(constB181))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 134.73/85.39 tff(3199,plain,
% 134.73/85.39 ($false),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3198, 3195, 3185, 3184, 3183])).
% 134.73/85.39 tff(3200,plain,((~v107(constB181)) | v119(constB181) | v108(constB181)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.39 tff(3201,plain,
% 134.73/85.39 (v108(constB181)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3200, 3182, 3165])).
% 134.73/85.39 tff(3202,plain,
% 134.73/85.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v118(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v118(constB181)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3203,plain,
% 134.73/85.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB181, bitIndex1)) | (~v118(constB181)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3204,plain,
% 134.73/85.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB181, bitIndex1)) | (~v118(constB181))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 134.73/85.39 tff(3205,plain,
% 134.73/85.39 (~v118(constB181)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3204, 2842, 950])).
% 134.73/85.39 tff(3206,assumption,(v108(constB181)), introduced(assumption)).
% 134.73/85.39 tff(3207,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB181) | v118(constB181) | (~v108(constB181)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB181) | v118(constB181) | (~v108(constB181)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3208,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB181) | v118(constB181) | (~v108(constB181)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3209,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB181) | v118(constB181) | (~v108(constB181))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 134.73/85.39 tff(3210,plain,
% 134.73/85.39 (v109(constB181) | v118(constB181)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3209, 2856, 3206])).
% 134.73/85.39 tff(3211,plain,
% 134.73/85.39 (v109(constB181)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3210, 3205])).
% 134.73/85.39 tff(3212,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB181)) | v110(constB181) | v172(constB181))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB181)) | v110(constB181) | v172(constB181))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3213,plain,
% 134.73/85.39 ((v110(constB181) | (~v109(constB181)) | v172(constB181)) <=> ((~v109(constB181)) | v110(constB181) | v172(constB181))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3214,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB181) | (~v109(constB181)) | v172(constB181))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB181)) | v110(constB181) | v172(constB181)))),
% 134.73/85.39 inference(monotonicity,[status(thm)],[3213])).
% 134.73/85.39 tff(3215,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB181) | (~v109(constB181)) | v172(constB181))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB181)) | v110(constB181) | v172(constB181))),
% 134.73/85.39 inference(transitivity,[status(thm)],[3214, 3212])).
% 134.73/85.39 tff(3216,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB181) | (~v109(constB181)) | v172(constB181))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3217,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB181)) | v110(constB181) | v172(constB181)),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 134.73/85.39 tff(3218,plain,
% 134.73/85.39 (v110(constB181)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3217, 2871, 1181, 3211])).
% 134.73/85.39 tff(3219,plain,
% 134.73/85.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v115(constB181)) | (~v84(constB181, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v115(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3220,plain,
% 134.73/85.39 (((~v84(constB181, bitIndex0)) | (~v115(constB181))) <=> ((~v115(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3221,plain,
% 134.73/85.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v115(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v115(constB181)) | (~v84(constB181, bitIndex0))))),
% 134.73/85.39 inference(monotonicity,[status(thm)],[3220])).
% 134.73/85.39 tff(3222,plain,
% 134.73/85.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v115(constB181)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v115(constB181)) | (~v84(constB181, bitIndex0)))),
% 134.73/85.39 inference(transitivity,[status(thm)],[3221, 3219])).
% 134.73/85.39 tff(3223,plain,
% 134.73/85.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB181, bitIndex0)) | (~v115(constB181)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3224,plain,
% 134.73/85.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v115(constB181)) | (~v84(constB181, bitIndex0))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 134.73/85.39 tff(3225,plain,
% 134.73/85.39 (~v115(constB181)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3224, 3011, 1878])).
% 134.73/85.39 tff(3226,assumption,(~v112(constB181)), introduced(assumption)).
% 134.73/85.39 tff(3227,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB181) | v115(constB181) | (~v111(constB181)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB181) | v115(constB181) | (~v111(constB181)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3228,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB181) | v115(constB181) | (~v111(constB181)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3229,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB181) | v115(constB181) | (~v111(constB181))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 134.73/85.39 tff(3230,plain,
% 134.73/85.39 (v115(constB181) | (~v111(constB181))),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3229, 2911, 3226])).
% 134.73/85.39 tff(3231,plain,
% 134.73/85.39 (~v111(constB181)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3230, 3225])).
% 134.73/85.39 tff(3232,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB181) | v116(constB181) | (~v110(constB181)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB181) | v116(constB181) | (~v110(constB181)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3233,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB181) | v116(constB181) | (~v110(constB181)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3234,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB181) | v116(constB181) | (~v110(constB181))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3233, 3232])).
% 134.73/85.39 tff(3235,plain,
% 134.73/85.39 ($false),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3234, 2932, 1066, 3231, 3218])).
% 134.73/85.39 tff(3236,plain,(v112(constB181) | v116(constB181) | (~v84(constB181, bitIndex0)) | v172(constB181) | (~v108(constB181)) | (~v84(constB181, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.39 tff(3237,plain,
% 134.73/85.39 ($false),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3236, 3201, 3103, 2448, 3062, 2296, 3081])).
% 134.73/85.39 tff(3238,plain,(v94(constB184) | (~v94(constB182))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.39 tff(3239,plain,
% 134.73/85.39 (v94(constB184)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3238, 877])).
% 134.73/85.39 tff(3240,assumption,(~v94(constB186)), introduced(assumption)).
% 134.73/85.39 tff(3241,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3242,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3243,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB185) | (~nextState(constB185, constB186)) | (~v98(constB186))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3242, 3241])).
% 134.73/85.39 tff(3244,plain,
% 134.73/85.39 (~v98(constB186)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3243, 541, 309, 339])).
% 134.73/85.39 tff(3245,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3246,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB185, constB186)) | v96(constB186) | v98(constB186))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3247,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB185, constB186)) | v96(constB186) | v98(constB186)),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3246, 3245])).
% 134.73/85.39 tff(3248,plain,
% 134.73/85.39 (v96(constB186) | v98(constB186)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3247, 555, 309])).
% 134.73/85.39 tff(3249,plain,
% 134.73/85.39 (v96(constB186)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3248, 3244])).
% 134.73/85.39 tff(3250,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3251,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3252,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB185, constB186)) | v95(constB186) | (~v96(constB186)) | (~v1(constB186))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 134.73/85.39 tff(3253,plain,
% 134.73/85.39 (v95(constB186) | (~v96(constB186))),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3252, 573, 309, 261])).
% 134.73/85.39 tff(3254,plain,
% 134.73/85.39 (v95(constB186)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3253, 3249])).
% 134.73/85.39 tff(3255,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3256,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3257,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB185, constB186)) | (~v95(constB186)) | (~v104(constB186)) | v94(constB186)),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 134.73/85.39 tff(3258,plain,
% 134.73/85.39 ((~v95(constB186)) | (~v104(constB186)) | v94(constB186)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3257, 588, 309])).
% 134.73/85.39 tff(3259,plain,
% 134.73/85.39 ((~v104(constB186)) | v94(constB186)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3258, 3254])).
% 134.73/85.39 tff(3260,plain,
% 134.73/85.39 (~v104(constB186)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3259, 3240])).
% 134.73/85.39 tff(3261,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3262,plain,
% 134.73/85.39 (((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186)) <=> ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3263,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))))),
% 134.73/85.39 inference(monotonicity,[status(thm)],[3262])).
% 134.73/85.39 tff(3264,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185)))),
% 134.73/85.39 inference(transitivity,[status(thm)],[3263, 3261])).
% 134.73/85.39 tff(3265,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB185, constB186)) | (~v102(constB185)) | v104(constB186))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3266,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB185, constB186)) | v104(constB186) | (~v102(constB185))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 134.73/85.39 tff(3267,plain,
% 134.73/85.39 (v104(constB186) | (~v102(constB185))),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3266, 604, 309])).
% 134.73/85.39 tff(3268,plain,
% 134.73/85.39 (~v102(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3267, 3260])).
% 134.73/85.39 tff(3269,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB185) | (~v106(constB185)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB185) | (~v106(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3270,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB185) | (~v106(constB185)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3271,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB185) | (~v106(constB185))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 134.73/85.39 tff(3272,plain,
% 134.73/85.39 (~v106(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3271, 619, 3268])).
% 134.73/85.39 tff(3273,assumption,(v26(constB184)), introduced(assumption)).
% 134.73/85.39 tff(3274,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB184))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3275,plain,
% 134.73/85.39 ($false),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3274, 1172, 3273])).
% 134.73/85.39 tff(3276,plain,(~v26(constB184)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.39 tff(3277,plain,
% 134.73/85.39 (^[VarNext: $i, VarCurr: $i] : refl((v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3278,plain,
% 134.73/85.39 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3277])).
% 134.73/85.39 tff(3279,plain,
% 134.73/85.39 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3280,plain,
% 134.73/85.39 (^[VarNext: $i, VarCurr: $i] : rewrite(((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext))))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3281,plain,
% 134.73/85.39 (![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3280])).
% 134.73/85.39 tff(3282,axiom,(![VarNext: $i, VarCurr: $i] : ((v26(VarCurr) | (~v66(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_2')).
% 134.73/85.39 tff(3283,plain,
% 134.73/85.39 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 134.73/85.39 tff(3284,plain,
% 134.73/85.39 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3283, 3279])).
% 134.73/85.39 tff(3285,plain,(
% 134.73/85.39 ![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3284])).
% 134.73/85.39 tff(3286,plain,
% 134.73/85.39 (![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3285, 3278])).
% 134.73/85.39 tff(3287,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3288,plain,
% 134.73/85.39 ((v26(constB184) | (~nextState(constB184, constB185)) | (~v66(constB185))) <=> ((~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3289,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB184) | (~nextState(constB184, constB185)) | (~v66(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185))))),
% 134.73/85.39 inference(monotonicity,[status(thm)],[3288])).
% 134.73/85.39 tff(3290,plain,
% 134.73/85.39 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB184) | (~nextState(constB184, constB185)) | (~v66(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185)))),
% 134.73/85.39 inference(transitivity,[status(thm)],[3289, 3287])).
% 134.73/85.39 tff(3291,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB184) | (~nextState(constB184, constB185)) | (~v66(constB185)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3292,plain,
% 134.73/85.39 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB184, constB185)) | v26(constB184) | (~v66(constB185))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3291, 3290])).
% 134.73/85.39 tff(3293,plain,
% 134.73/85.39 (v26(constB184) | (~v66(constB185))),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3292, 3286, 378])).
% 134.73/85.39 tff(3294,plain,
% 134.73/85.39 (~v66(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3293, 3276])).
% 134.73/85.39 tff(3295,plain,
% 134.73/85.39 (^[VarCurr: $i] : refl((v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3296,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3295])).
% 134.73/85.39 tff(3297,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3298,plain,
% 134.73/85.39 (^[VarCurr: $i] : trans(monotonicity(rewrite((v64(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))))), rewrite(((v1(VarCurr) | v64(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))), (((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3299,plain,
% 134.73/85.39 (![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3298])).
% 134.73/85.39 tff(3300,axiom,(![VarCurr: $i] : ((v64(VarCurr) | v1(VarCurr)) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_11_1_2')).
% 134.73/85.39 tff(3301,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 134.73/85.39 tff(3302,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3301, 3297])).
% 134.73/85.39 tff(3303,plain,(
% 134.73/85.39 ![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3302])).
% 134.73/85.39 tff(3304,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3303, 3296])).
% 134.73/85.39 tff(3305,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | v64(constB185) | (~v9(constB185)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB185) | v64(constB185) | (~v9(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3306,plain,
% 134.73/85.39 ((v1(constB185) | (~v9(constB185)) | v64(constB185)) <=> (v1(constB185) | v64(constB185) | (~v9(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3307,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v64(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | v64(constB185) | (~v9(constB185))))),
% 134.73/85.39 inference(monotonicity,[status(thm)],[3306])).
% 134.73/85.39 tff(3308,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v64(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB185) | v64(constB185) | (~v9(constB185)))),
% 134.73/85.39 inference(transitivity,[status(thm)],[3307, 3305])).
% 134.73/85.39 tff(3309,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB185) | (~v9(constB185)) | v64(constB185))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3310,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB185) | v64(constB185) | (~v9(constB185))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3309, 3308])).
% 134.73/85.39 tff(3311,plain,
% 134.73/85.39 (v64(constB185) | (~v9(constB185))),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3310, 3304, 339])).
% 134.73/85.39 tff(3312,plain,
% 134.73/85.39 (v64(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3311, 336])).
% 134.73/85.39 tff(3313,plain,
% 134.73/85.39 (^[VarNext: $i] : refl(((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3314,plain,
% 134.73/85.39 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3313])).
% 134.73/85.39 tff(3315,plain,
% 134.73/85.39 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3316,plain,
% 134.73/85.39 (^[VarNext: $i] : rewrite(((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3317,plain,
% 134.73/85.39 (![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3316])).
% 134.73/85.39 tff(3318,axiom,(![VarNext: $i] : ((v66(VarNext) | (~v60(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_2')).
% 134.73/85.39 tff(3319,plain,
% 134.73/85.39 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3318, 3317])).
% 134.73/85.39 tff(3320,plain,
% 134.73/85.39 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3319, 3315])).
% 134.73/85.39 tff(3321,plain,(
% 134.73/85.39 ![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3320])).
% 134.73/85.39 tff(3322,plain,
% 134.73/85.39 (![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3321, 3314])).
% 134.73/85.39 tff(3323,plain,
% 134.73/85.39 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB185)) | v66(constB185) | (~v64(constB185)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB185)) | v66(constB185) | (~v64(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3324,plain,
% 134.73/85.39 (((~v64(constB185)) | (~v60(constB185)) | v66(constB185)) <=> ((~v60(constB185)) | v66(constB185) | (~v64(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3325,plain,
% 134.73/85.39 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB185)) | (~v60(constB185)) | v66(constB185))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB185)) | v66(constB185) | (~v64(constB185))))),
% 134.73/85.39 inference(monotonicity,[status(thm)],[3324])).
% 134.73/85.39 tff(3326,plain,
% 134.73/85.39 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB185)) | (~v60(constB185)) | v66(constB185))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB185)) | v66(constB185) | (~v64(constB185)))),
% 134.73/85.39 inference(transitivity,[status(thm)],[3325, 3323])).
% 134.73/85.39 tff(3327,plain,
% 134.73/85.39 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB185)) | (~v60(constB185)) | v66(constB185))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3328,plain,
% 134.73/85.39 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB185)) | v66(constB185) | (~v64(constB185))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 134.73/85.39 tff(3329,plain,
% 134.73/85.39 ((~v60(constB185)) | v66(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3328, 3322, 3312])).
% 134.73/85.39 tff(3330,plain,
% 134.73/85.39 (~v60(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3329, 3294])).
% 134.73/85.39 tff(3331,assumption,(v71(constB185)), introduced(assumption)).
% 134.73/85.39 tff(3332,plain,
% 134.73/85.39 (^[VarCurr: $i] : refl((~v71(VarCurr)) <=> (~v71(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3333,plain,
% 134.73/85.39 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3332])).
% 134.73/85.39 tff(3334,plain,
% 134.73/85.39 (![VarCurr: $i] : (~v71(VarCurr)) <=> ![VarCurr: $i] : (~v71(VarCurr))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3335,axiom,(![VarCurr: $i] : (~v71(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addGlobalAssumption_1_1_1_1')).
% 134.73/85.39 tff(3336,plain,
% 134.73/85.39 (![VarCurr: $i] : (~v71(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3335, 3334])).
% 134.73/85.39 tff(3337,plain,(
% 134.73/85.39 ![VarCurr: $i] : (~v71(VarCurr))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3336])).
% 134.73/85.39 tff(3338,plain,
% 134.73/85.39 (![VarCurr: $i] : (~v71(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3337, 3333])).
% 134.73/85.39 tff(3339,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB185))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3340,plain,
% 134.73/85.39 ($false),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3339, 3338, 3331])).
% 134.73/85.39 tff(3341,plain,(~v71(constB185)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.39 tff(3342,plain,
% 134.73/85.39 (^[VarCurr: $i] : refl((v80(VarCurr) | (~v9(VarCurr))) <=> (v80(VarCurr) | (~v9(VarCurr))))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3343,plain,
% 134.73/85.39 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3342])).
% 134.73/85.39 tff(3344,plain,
% 134.73/85.39 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr))) <=> ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3345,axiom,(![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_15_1_1_1_2')).
% 134.73/85.39 tff(3346,plain,
% 134.73/85.39 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3345, 3344])).
% 134.73/85.39 tff(3347,plain,(
% 134.73/85.39 ![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3346])).
% 134.73/85.39 tff(3348,plain,
% 134.73/85.39 (![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3347, 3343])).
% 134.73/85.39 tff(3349,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB185) | (~v9(constB185)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB185) | (~v9(constB185)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3350,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB185) | (~v9(constB185)))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3351,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB185) | (~v9(constB185))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3350, 3349])).
% 134.73/85.39 tff(3352,plain,
% 134.73/85.39 (v80(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3351, 3348, 336])).
% 134.73/85.39 tff(3353,plain,
% 134.73/85.39 (^[VarCurr: $i] : refl((v1(VarCurr) | v78(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3354,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3353])).
% 134.73/85.39 tff(3355,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3356,plain,
% 134.73/85.39 (^[VarCurr: $i] : rewrite((v78(VarCurr) | v1(VarCurr)) <=> (v1(VarCurr) | v78(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3357,plain,
% 134.73/85.39 (![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3356])).
% 134.73/85.39 tff(3358,axiom,(![VarCurr: $i] : (v78(VarCurr) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_14_1_1_1_1')).
% 134.73/85.39 tff(3359,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3358, 3357])).
% 134.73/85.39 tff(3360,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3359, 3355])).
% 134.73/85.39 tff(3361,plain,(
% 134.73/85.39 ![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3360])).
% 134.73/85.39 tff(3362,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3361, 3354])).
% 134.73/85.39 tff(3363,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB185) | v78(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB185) | v78(constB185))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3364,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB185) | v78(constB185))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3365,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB185) | v78(constB185)),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 134.73/85.39 tff(3366,plain,
% 134.73/85.39 (v78(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3365, 3362, 339])).
% 134.73/85.39 tff(3367,plain,
% 134.73/85.39 (^[VarCurr: $i] : refl(((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3368,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3367])).
% 134.73/85.39 tff(3369,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3370,plain,
% 134.73/85.39 (^[VarCurr: $i] : rewrite(((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3371,plain,
% 134.73/85.39 (![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr))) <=> ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3370])).
% 134.73/85.39 tff(3372,axiom,(![VarCurr: $i] : ((v76(VarCurr) | (~v80(VarCurr))) | (~v78(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_16_1_1_1')).
% 134.73/85.39 tff(3373,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 134.73/85.39 tff(3374,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3373, 3369])).
% 134.73/85.39 tff(3375,plain,(
% 134.73/85.39 ![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3374])).
% 134.73/85.39 tff(3376,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3375, 3368])).
% 134.73/85.39 tff(3377,plain,
% 134.73/85.39 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB185)) | (~v80(constB185)) | v76(constB185))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB185)) | (~v80(constB185)) | v76(constB185))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3378,plain,
% 134.73/85.39 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB185)) | (~v80(constB185)) | v76(constB185))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3379,plain,
% 134.73/85.39 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB185)) | (~v80(constB185)) | v76(constB185)),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3378, 3377])).
% 134.73/85.39 tff(3380,plain,
% 134.73/85.39 ((~v80(constB185)) | v76(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3379, 3376, 3366])).
% 134.73/85.39 tff(3381,plain,
% 134.73/85.39 (v76(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3380, 3352])).
% 134.73/85.39 tff(3382,plain,
% 134.73/85.39 (^[VarCurr: $i] : refl(((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3383,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3382])).
% 134.73/85.39 tff(3384,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3385,plain,
% 134.73/85.39 (^[VarCurr: $i] : rewrite(((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3386,plain,
% 134.73/85.39 (![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr))) <=> ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3385])).
% 134.73/85.39 tff(3387,axiom,(![VarCurr: $i] : ((v71(VarCurr) | (~v76(VarCurr))) | (~v72(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_17_1_1_1')).
% 134.73/85.39 tff(3388,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3387, 3386])).
% 134.73/85.39 tff(3389,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3388, 3384])).
% 134.73/85.39 tff(3390,plain,(
% 134.73/85.39 ![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3389])).
% 134.73/85.39 tff(3391,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3390, 3383])).
% 134.73/85.39 tff(3392,plain,
% 134.73/85.39 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB185)) | (~v76(constB185)) | v71(constB185))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB185)) | (~v76(constB185)) | v71(constB185))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3393,plain,
% 134.73/85.39 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB185)) | (~v76(constB185)) | v71(constB185))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3394,plain,
% 134.73/85.39 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB185)) | (~v76(constB185)) | v71(constB185)),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3393, 3392])).
% 134.73/85.39 tff(3395,plain,
% 134.73/85.39 ((~v72(constB185)) | v71(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3394, 3391, 3381])).
% 134.73/85.39 tff(3396,plain,
% 134.73/85.39 (~v72(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3395, 3341])).
% 134.73/85.39 tff(3397,plain,
% 134.73/85.39 (^[VarCurr: $i] : refl((v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3398,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3397])).
% 134.73/85.39 tff(3399,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3400,plain,
% 134.73/85.39 (^[VarCurr: $i] : rewrite(((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> (v1(VarCurr) | v72(VarCurr) | v74(VarCurr)))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3401,plain,
% 134.73/85.39 (![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr)) <=> ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3400])).
% 134.73/85.39 tff(3402,axiom,(![VarCurr: $i] : ((v72(VarCurr) | v74(VarCurr)) | v1(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_13_1_1_1_1')).
% 134.73/85.39 tff(3403,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 134.73/85.39 tff(3404,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3403, 3399])).
% 134.73/85.39 tff(3405,plain,(
% 134.73/85.39 ![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3404])).
% 134.73/85.39 tff(3406,plain,
% 134.73/85.39 (![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3405, 3398])).
% 134.73/85.39 tff(3407,plain,
% 134.73/85.39 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB185) | v72(constB185) | v74(constB185))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB185) | v72(constB185) | v74(constB185))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3408,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB185) | v72(constB185) | v74(constB185))),
% 134.73/85.39 inference(quant_inst,[status(thm)],[])).
% 134.73/85.39 tff(3409,plain,
% 134.73/85.39 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB185) | v72(constB185) | v74(constB185)),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3408, 3407])).
% 134.73/85.39 tff(3410,plain,
% 134.73/85.39 (v72(constB185) | v74(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3409, 3406, 339])).
% 134.73/85.39 tff(3411,plain,
% 134.73/85.39 (v74(constB185)),
% 134.73/85.39 inference(unit_resolution,[status(thm)],[3410, 3396])).
% 134.73/85.39 tff(3412,plain,
% 134.73/85.39 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3413,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3412])).
% 134.73/85.39 tff(3414,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 134.73/85.39 inference(rewrite,[status(thm)],[])).
% 134.73/85.39 tff(3415,plain,
% 134.73/85.39 (^[VarCurr: $i] : rewrite(((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr))))),
% 134.73/85.39 inference(bind,[status(th)],[])).
% 134.73/85.39 tff(3416,plain,
% 134.73/85.39 (![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 134.73/85.39 inference(quant_intro,[status(thm)],[3415])).
% 134.73/85.39 tff(3417,axiom,(![VarCurr: $i] : ((v60(VarCurr) | (~v26(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_2')).
% 134.73/85.39 tff(3418,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3417, 3416])).
% 134.73/85.39 tff(3419,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3418, 3414])).
% 134.73/85.39 tff(3420,plain,(
% 134.73/85.39 ![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 134.73/85.39 inference(skolemize,[status(sab)],[3419])).
% 134.73/85.39 tff(3421,plain,
% 134.73/85.39 (![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))),
% 134.73/85.39 inference(modus_ponens,[status(thm)],[3420, 3413])).
% 134.73/85.39 tff(3422,plain,
% 134.73/85.39 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB185) | (~v26(constB185)) | (~v74(constB185)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB185) | (~v26(constB185)) | (~v74(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3423,plain,
% 134.73/85.40 (((~v26(constB185)) | v60(constB185) | (~v74(constB185))) <=> (v60(constB185) | (~v26(constB185)) | (~v74(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3424,plain,
% 134.73/85.40 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB185)) | v60(constB185) | (~v74(constB185)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB185) | (~v26(constB185)) | (~v74(constB185))))),
% 134.73/85.40 inference(monotonicity,[status(thm)],[3423])).
% 134.73/85.40 tff(3425,plain,
% 134.73/85.40 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB185)) | v60(constB185) | (~v74(constB185)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB185) | (~v26(constB185)) | (~v74(constB185)))),
% 134.73/85.40 inference(transitivity,[status(thm)],[3424, 3422])).
% 134.73/85.40 tff(3426,plain,
% 134.73/85.40 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB185)) | v60(constB185) | (~v74(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3427,plain,
% 134.73/85.40 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB185) | (~v26(constB185)) | (~v74(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 134.73/85.40 tff(3428,plain,
% 134.73/85.40 (v60(constB185) | (~v26(constB185))),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3427, 3421, 3411])).
% 134.73/85.40 tff(3429,plain,
% 134.73/85.40 (~v26(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3428, 3330])).
% 134.73/85.40 tff(3430,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | v106(constB185) | (~v107(constB185)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3431,plain,
% 134.73/85.40 ((v26(constB185) | (~v107(constB185)) | v106(constB185)) <=> (v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3432,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | v106(constB185) | (~v107(constB185))))),
% 134.73/85.40 inference(monotonicity,[status(thm)],[3431])).
% 134.73/85.40 tff(3433,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185)))),
% 134.73/85.40 inference(transitivity,[status(thm)],[3432, 3430])).
% 134.73/85.40 tff(3434,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB185) | (~v107(constB185)) | v106(constB185))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3435,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB185) | v106(constB185) | (~v107(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 134.73/85.40 tff(3436,plain,
% 134.73/85.40 (v106(constB185) | (~v107(constB185))),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3435, 644, 3429])).
% 134.73/85.40 tff(3437,plain,
% 134.73/85.40 (~v107(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3436, 3272])).
% 134.73/85.40 tff(3438,assumption,(v108(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3439,assumption,(~v107(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3440,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB185) | (~v108(constB185)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB185) | (~v108(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3441,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB185) | (~v108(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3442,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB185) | (~v108(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3441, 3440])).
% 134.73/85.40 tff(3443,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3442, 658, 3439, 3438])).
% 134.73/85.40 tff(3444,plain,(v107(constB185) | (~v108(constB185))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3445,plain,
% 134.73/85.40 (~v108(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3444, 3437])).
% 134.73/85.40 tff(3446,assumption,(~v108(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3447,assumption,(v109(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3448,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB185) | (~v109(constB185)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB185) | (~v109(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3449,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB185) | (~v109(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3450,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB185) | (~v109(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3449, 3448])).
% 134.73/85.40 tff(3451,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3450, 669, 3447, 3446])).
% 134.73/85.40 tff(3452,plain,(v108(constB185) | (~v109(constB185))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3453,plain,
% 134.73/85.40 (~v109(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3452, 3445])).
% 134.73/85.40 tff(3454,assumption,(~v84(constB186, bitIndex0)), introduced(assumption)).
% 134.73/85.40 tff(3455,assumption,(v84(constB185, bitIndex0)), introduced(assumption)).
% 134.73/85.40 tff(3456,plain,
% 134.73/85.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB186, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB186, bitIndex0))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3457,plain,
% 134.73/85.40 (((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB186, bitIndex0) | (~v84(constB185, bitIndex0))) <=> ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB186, bitIndex0))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3458,plain,
% 134.73/85.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB186, bitIndex0) | (~v84(constB185, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB186, bitIndex0)))),
% 134.73/85.40 inference(monotonicity,[status(thm)],[3457])).
% 134.73/85.40 tff(3459,plain,
% 134.73/85.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB186, bitIndex0) | (~v84(constB185, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB186, bitIndex0))),
% 134.73/85.40 inference(transitivity,[status(thm)],[3458, 3456])).
% 134.73/85.40 tff(3460,plain,
% 134.73/85.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB186, bitIndex0) | (~v84(constB185, bitIndex0)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3461,plain,
% 134.73/85.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB186, bitIndex0)),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3460, 3459])).
% 134.73/85.40 tff(3462,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3461, 777, 795, 309, 3240, 3454, 3455])).
% 134.73/85.40 tff(3463,plain,(v84(constB186, bitIndex0) | v94(constB186) | (~v84(constB185, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3464,plain,
% 134.73/85.40 (~v84(constB185, bitIndex0)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3463, 3240, 3454])).
% 134.73/85.40 tff(3465,assumption,(~v84(constB185, bitIndex0)), introduced(assumption)).
% 134.73/85.40 tff(3466,plain,
% 134.73/85.40 (~v108(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3444, 3439])).
% 134.73/85.40 tff(3467,plain,
% 134.73/85.40 (~v109(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3452, 3466])).
% 134.73/85.40 tff(3468,assumption,(~v109(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3469,assumption,(v110(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3470,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB185) | (~v110(constB185)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB185) | (~v110(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3471,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB185) | (~v110(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3472,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB185) | (~v110(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 134.73/85.40 tff(3473,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3472, 680, 3469, 3468])).
% 134.73/85.40 tff(3474,plain,(v109(constB185) | (~v110(constB185))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3475,plain,
% 134.73/85.40 (~v110(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3474, 3467])).
% 134.73/85.40 tff(3476,assumption,(~v110(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3477,assumption,(v111(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3478,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB185) | (~v111(constB185)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB185) | (~v111(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3479,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB185) | (~v111(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3480,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB185) | (~v111(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 134.73/85.40 tff(3481,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3480, 691, 3477, 3476])).
% 134.73/85.40 tff(3482,plain,(v110(constB185) | (~v111(constB185))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3483,plain,
% 134.73/85.40 (~v111(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3482, 3475])).
% 134.73/85.40 tff(3484,assumption,(~v111(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3485,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB185) | (~v112(constB185)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB185) | (~v112(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3486,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB185) | (~v112(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3487,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB185) | (~v112(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 134.73/85.40 tff(3488,plain,
% 134.73/85.40 (~v112(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3487, 702, 3484])).
% 134.73/85.40 tff(3489,assumption,(~v84(constB185, bitIndex2)), introduced(assumption)).
% 134.73/85.40 tff(3490,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB185) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB185) | (~v115(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3491,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB185) | (~v115(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3492,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB185) | (~v115(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 134.73/85.40 tff(3493,plain,
% 134.73/85.40 (~v115(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3492, 945, 3484])).
% 134.73/85.40 tff(3494,assumption,(~v115(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3495,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3496,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3497,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v115(constB185)),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3496, 3495])).
% 134.73/85.40 tff(3498,plain,
% 134.73/85.40 (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3497, 1095, 3494])).
% 134.73/85.40 tff(3499,plain,
% 134.73/85.40 (~v84(constB185, bitIndex1)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3498, 3489, 3465])).
% 134.73/85.40 tff(3500,assumption,(~v113(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3501,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB185) | v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB185) | v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3502,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB185) | v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3503,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB185) | v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2)),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 134.73/85.40 tff(3504,plain,
% 134.73/85.40 (v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3503, 983, 3500])).
% 134.73/85.40 tff(3505,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3504, 3499, 3489, 3465])).
% 134.73/85.40 tff(3506,plain,(v84(constB185, bitIndex2) | v84(constB185, bitIndex0) | v113(constB185) | v115(constB185)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3507,plain,
% 134.73/85.40 (v113(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3506, 3493, 3489, 3465])).
% 134.73/85.40 tff(3508,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB185) | (~v113(constB185)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB185) | (~v113(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3509,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB185) | (~v113(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3510,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB185) | (~v113(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 134.73/85.40 tff(3511,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3510, 969, 3507, 3488])).
% 134.73/85.40 tff(3512,plain,(v111(constB185) | v84(constB185, bitIndex2) | v84(constB185, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3513,plain,
% 134.73/85.40 (v84(constB185, bitIndex2)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3512, 3483, 3465])).
% 134.73/85.40 tff(3514,plain,
% 134.73/85.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB185, bitIndex2)) | (~v115(constB185)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB185, bitIndex2)) | (~v115(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3515,plain,
% 134.73/85.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB185, bitIndex2)) | (~v115(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3516,plain,
% 134.73/85.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB185, bitIndex2)) | (~v115(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3515, 3514])).
% 134.73/85.40 tff(3517,plain,
% 134.73/85.40 (~v115(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3516, 2665, 3513])).
% 134.73/85.40 tff(3518,plain,
% 134.73/85.40 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB185)) | (~v84(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB185)) | (~v84(constB185, bitIndex2)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3519,plain,
% 134.73/85.40 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB185)) | (~v84(constB185, bitIndex2)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3520,plain,
% 134.73/85.40 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB185)) | (~v84(constB185, bitIndex2))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3519, 3518])).
% 134.73/85.40 tff(3521,plain,
% 134.73/85.40 (~v113(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3520, 1119, 3513])).
% 134.73/85.40 tff(3522,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB185) | (~v119(constB185)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB185) | (~v119(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3523,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB185) | (~v119(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3524,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB185) | (~v119(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 134.73/85.40 tff(3525,plain,
% 134.73/85.40 (~v119(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3524, 1927, 3439])).
% 134.73/85.40 tff(3526,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB185) | (~v172(constB185)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB185) | (~v172(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3527,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB185) | (~v172(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3528,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB185) | (~v172(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3527, 3526])).
% 134.73/85.40 tff(3529,plain,
% 134.73/85.40 (~v172(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3528, 1033, 3467])).
% 134.73/85.40 tff(3530,plain,
% 134.73/85.40 (v84(constB185, bitIndex2)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3506, 3465, 3500, 3494])).
% 134.73/85.40 tff(3531,assumption,(~v119(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3532,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB185) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB185) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3533,plain,
% 134.73/85.40 ((v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185)) <=> (v119(constB185) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3534,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB185) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2))))),
% 134.73/85.40 inference(monotonicity,[status(thm)],[3533])).
% 134.73/85.40 tff(3535,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB185) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)))),
% 134.73/85.40 inference(transitivity,[status(thm)],[3534, 3532])).
% 134.73/85.40 tff(3536,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2)) | v119(constB185))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3537,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB185) | v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3536, 3535])).
% 134.73/85.40 tff(3538,plain,
% 134.73/85.40 (v84(constB185, bitIndex0) | (~v84(constB185, bitIndex1)) | (~v84(constB185, bitIndex2))),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3537, 1910, 3531])).
% 134.73/85.40 tff(3539,plain,
% 134.73/85.40 (~v84(constB185, bitIndex1)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3538, 3530, 3465])).
% 134.73/85.40 tff(3540,assumption,(~v172(constB185)), introduced(assumption)).
% 134.73/85.40 tff(3541,plain,
% 134.73/85.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | (~v84(constB185, bitIndex2)) | v172(constB185))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | (~v84(constB185, bitIndex2)) | v172(constB185))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3542,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | (~v84(constB185, bitIndex2)) | v172(constB185))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3543,plain,
% 134.73/85.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | (~v84(constB185, bitIndex2)) | v172(constB185)),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 134.73/85.40 tff(3544,plain,
% 134.73/85.40 (v84(constB185, bitIndex0) | v84(constB185, bitIndex1) | (~v84(constB185, bitIndex2))),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3543, 1047, 3540])).
% 134.73/85.40 tff(3545,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3544, 3539, 3530, 3465])).
% 134.73/85.40 tff(3546,plain,(v84(constB185, bitIndex0) | v172(constB185) | v119(constB185) | v113(constB185) | v115(constB185)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3547,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3546, 3529, 3525, 3465, 3500, 3494])).
% 134.73/85.40 tff(3548,plain,(v107(constB185) | v84(constB185, bitIndex0) | v113(constB185) | v115(constB185)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3549,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3548, 3521, 3517, 3465, 3439])).
% 134.73/85.40 tff(3550,plain,(v107(constB185) | v84(constB185, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3551,plain,
% 134.73/85.40 (v107(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3550, 3464])).
% 134.73/85.40 tff(3552,plain,
% 134.73/85.40 (v106(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3436, 3551])).
% 134.73/85.40 tff(3553,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3271, 619, 3268, 3552])).
% 134.73/85.40 tff(3554,plain,(v94(constB186) | v84(constB186, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3555,plain,
% 134.73/85.40 (v84(constB186, bitIndex0)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3554, 3240])).
% 134.73/85.40 tff(3556,plain,
% 134.73/85.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB185, bitIndex0) | (~v84(constB186, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB185, bitIndex0) | (~v84(constB186, bitIndex0)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3557,plain,
% 134.73/85.40 (((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB186, bitIndex0)) | v84(constB185, bitIndex0)) <=> ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB185, bitIndex0) | (~v84(constB186, bitIndex0)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3558,plain,
% 134.73/85.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB186, bitIndex0)) | v84(constB185, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB185, bitIndex0) | (~v84(constB186, bitIndex0))))),
% 134.73/85.40 inference(monotonicity,[status(thm)],[3557])).
% 134.73/85.40 tff(3559,plain,
% 134.73/85.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB186, bitIndex0)) | v84(constB185, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB185, bitIndex0) | (~v84(constB186, bitIndex0)))),
% 134.73/85.40 inference(transitivity,[status(thm)],[3558, 3556])).
% 134.73/85.40 tff(3560,plain,
% 134.73/85.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | (~v84(constB186, bitIndex0)) | v84(constB185, bitIndex0))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3561,plain,
% 134.73/85.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB185, constB186)) | v94(constB186) | (~less_3(bitIndex0)) | v84(constB185, bitIndex0) | (~v84(constB186, bitIndex0))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3560, 3559])).
% 134.73/85.40 tff(3562,plain,
% 134.73/85.40 (v84(constB185, bitIndex0)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3561, 805, 795, 309, 3240, 3555])).
% 134.73/85.40 tff(3563,plain,
% 134.73/85.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3564,plain,
% 134.73/85.40 (((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185)) <=> (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3565,plain,
% 134.73/85.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))))),
% 134.73/85.40 inference(monotonicity,[status(thm)],[3564])).
% 134.73/85.40 tff(3566,plain,
% 134.73/85.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185)))),
% 134.73/85.40 inference(transitivity,[status(thm)],[3565, 3563])).
% 134.73/85.40 tff(3567,plain,
% 134.73/85.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB184, constB185)) | (~v95(constB185)) | v1(constB185))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3568,plain,
% 134.73/85.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB185) | (~nextState(constB184, constB185)) | (~v95(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 134.73/85.40 tff(3569,plain,
% 134.73/85.40 (~v95(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3568, 742, 378, 339])).
% 134.73/85.40 tff(3570,plain,
% 134.73/85.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3571,plain,
% 134.73/85.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185)))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3572,plain,
% 134.73/85.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB184, constB185)) | v95(constB185) | (~v94(constB185))),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3571, 3570])).
% 134.73/85.40 tff(3573,plain,
% 134.73/85.40 (v95(constB185) | (~v94(constB185))),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3572, 759, 378])).
% 134.73/85.40 tff(3574,plain,
% 134.73/85.40 (~v94(constB185)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3573, 3569])).
% 134.73/85.40 tff(3575,plain,
% 134.73/85.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB184, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB184, bitIndex0))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3576,plain,
% 134.73/85.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB184, bitIndex0))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3577,plain,
% 134.73/85.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex0)) | (~v84(constB185, bitIndex0)) | v84(constB184, bitIndex0)),
% 134.73/85.40 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 134.73/85.40 tff(3578,plain,
% 134.73/85.40 ($false),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3577, 805, 795, 378, 3574, 2486, 3455])).
% 134.73/85.40 tff(3579,plain,((~v84(constB185, bitIndex0)) | v84(constB184, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.40 tff(3580,plain,
% 134.73/85.40 (v84(constB184, bitIndex0)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[3579, 3562])).
% 134.73/85.40 tff(3581,plain,
% 134.73/85.40 (v123(constB184, bitIndex0)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2681, 2676, 2496])).
% 134.73/85.40 tff(3582,plain,
% 134.73/85.40 (v121(constB183, bitIndex0)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2692, 3581])).
% 134.73/85.40 tff(3583,plain,
% 134.73/85.40 (v124(constB183, bitIndex0)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2707, 3582])).
% 134.73/85.40 tff(3584,plain,
% 134.73/85.40 (~v172(constB183)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2737, 3583])).
% 134.73/85.40 tff(3585,plain,
% 134.73/85.40 (~v113(constB183)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2783, 3584])).
% 134.73/85.40 tff(3586,plain,
% 134.73/85.40 (v123(constB184, bitIndex2)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2791, 2676, 2785])).
% 134.73/85.40 tff(3587,plain,
% 134.73/85.40 (v121(constB183, bitIndex2)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2799, 3586])).
% 134.73/85.40 tff(3588,plain,
% 134.73/85.40 (v124(constB183, bitIndex2)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2810, 3587])).
% 134.73/85.40 tff(3589,plain,
% 134.73/85.40 (~v145(constB183)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2717, 3583])).
% 134.73/85.40 tff(3590,plain,
% 134.73/85.40 (~v116(constB183)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2727, 3583])).
% 134.73/85.40 tff(3591,plain,
% 134.73/85.40 (~v115(constB183)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2821, 3588])).
% 134.73/85.40 tff(3592,plain,
% 134.73/85.40 (v118(constB183)),
% 134.73/85.40 inference(unit_resolution,[status(thm)],[2832, 3591, 3590, 3584, 3589, 3588, 3585])).
% 134.73/85.40 tff(3593,plain,
% 134.73/85.40 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB183)) | (~v124(constB183, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3594,plain,
% 134.73/85.40 (((~v118(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.73/85.40 inference(rewrite,[status(thm)],[])).
% 134.73/85.40 tff(3595,plain,
% 134.73/85.40 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB183)) | (~v124(constB183, bitIndex2))))),
% 134.73/85.40 inference(monotonicity,[status(thm)],[3594])).
% 134.73/85.40 tff(3596,plain,
% 134.73/85.40 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.73/85.40 inference(transitivity,[status(thm)],[3595, 3593])).
% 134.73/85.40 tff(3597,plain,
% 134.73/85.40 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b011(bitIndex2))),
% 134.73/85.40 inference(quant_inst,[status(thm)],[])).
% 134.73/85.40 tff(3598,plain,
% 134.73/85.40 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB183)) | (~v124(constB183, bitIndex2))),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 134.73/85.41 tff(3599,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3598, 2030, 2027, 767, 3588, 3592])).
% 134.73/85.41 tff(3600,plain,((~v94(constB184)) | (~v84(constB184, bitIndex2)) | (~v84(constB184, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3601,plain,
% 134.73/85.41 (~v84(constB184, bitIndex2)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3600, 3580, 2676])).
% 134.73/85.41 tff(3602,assumption,(v84(constB185, bitIndex2)), introduced(assumption)).
% 134.73/85.41 tff(3603,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex2)) | (~v84(constB185, bitIndex2)) | v84(constB184, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex2)) | (~v84(constB185, bitIndex2)) | v84(constB184, bitIndex2))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3604,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex2)) | (~v84(constB185, bitIndex2)) | v84(constB184, bitIndex2))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3605,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex2)) | (~v84(constB185, bitIndex2)) | v84(constB184, bitIndex2)),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3604, 3603])).
% 134.73/85.41 tff(3606,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3605, 805, 767, 378, 3574, 2470, 3602])).
% 134.73/85.41 tff(3607,plain,((~v84(constB185, bitIndex2)) | v84(constB184, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3608,plain,
% 134.73/85.41 (~v84(constB185, bitIndex2)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3607, 3601])).
% 134.73/85.41 tff(3609,plain,
% 134.73/85.41 (~v111(constB185)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3482, 3476])).
% 134.73/85.41 tff(3610,plain,
% 134.73/85.41 (v84(constB185, bitIndex0)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3512, 3489, 3484])).
% 134.73/85.41 tff(3611,assumption,(v145(constB185)), introduced(assumption)).
% 134.73/85.41 tff(3612,plain,
% 134.73/85.41 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB185) | (~v145(constB185)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB185) | (~v145(constB185)))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3613,plain,
% 134.73/85.41 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB185) | (~v145(constB185)))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3614,plain,
% 134.73/85.41 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB185) | (~v145(constB185))),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 134.73/85.41 tff(3615,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3614, 713, 3611, 3488])).
% 134.73/85.41 tff(3616,plain,((~v145(constB185)) | v111(constB185)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3617,plain,
% 134.73/85.41 (~v145(constB185)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3616, 3484])).
% 134.73/85.41 tff(3618,plain,
% 134.73/85.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v145(constB185))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v145(constB185))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3619,plain,
% 134.73/85.41 (((~v84(constB185, bitIndex0)) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | v145(constB185)) <=> (v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v145(constB185))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3620,plain,
% 134.73/85.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB185, bitIndex0)) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | v145(constB185))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v145(constB185)))),
% 134.73/85.41 inference(monotonicity,[status(thm)],[3619])).
% 134.73/85.41 tff(3621,plain,
% 134.73/85.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB185, bitIndex0)) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | v145(constB185))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v145(constB185))),
% 134.73/85.41 inference(transitivity,[status(thm)],[3620, 3618])).
% 134.73/85.41 tff(3622,plain,
% 134.73/85.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB185, bitIndex0)) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | v145(constB185))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3623,plain,
% 134.73/85.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v145(constB185)),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 134.73/85.41 tff(3624,plain,
% 134.73/85.41 (v84(constB185, bitIndex1) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0))),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3623, 865, 3617])).
% 134.73/85.41 tff(3625,plain,
% 134.73/85.41 (v84(constB185, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3624, 3610, 3489])).
% 134.73/85.41 tff(3626,assumption,(~v116(constB185)), introduced(assumption)).
% 134.73/85.41 tff(3627,plain,
% 134.73/85.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v116(constB185))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v116(constB185))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3628,plain,
% 134.73/85.41 (((~v84(constB185, bitIndex0)) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v116(constB185)) <=> ((~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v116(constB185))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3629,plain,
% 134.73/85.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB185, bitIndex0)) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v116(constB185))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v116(constB185)))),
% 134.73/85.41 inference(monotonicity,[status(thm)],[3628])).
% 134.73/85.41 tff(3630,plain,
% 134.73/85.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB185, bitIndex0)) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v116(constB185))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v116(constB185))),
% 134.73/85.41 inference(transitivity,[status(thm)],[3629, 3627])).
% 134.73/85.41 tff(3631,plain,
% 134.73/85.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB185, bitIndex0)) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | v116(constB185))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3632,plain,
% 134.73/85.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0)) | v116(constB185)),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3631, 3630])).
% 134.73/85.41 tff(3633,plain,
% 134.73/85.41 ((~v84(constB185, bitIndex1)) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex0))),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3632, 1076, 3626])).
% 134.73/85.41 tff(3634,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3633, 3625, 3610, 3489])).
% 134.73/85.41 tff(3635,plain,(v84(constB185, bitIndex2) | v116(constB185) | v111(constB185)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3636,plain,
% 134.73/85.41 (v116(constB185)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3635, 3609, 3489])).
% 134.73/85.41 tff(3637,plain,
% 134.73/85.41 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB185) | (~v116(constB185)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB185) | (~v116(constB185)))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3638,plain,
% 134.73/85.41 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB185) | (~v116(constB185)))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3639,plain,
% 134.73/85.41 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB185) | (~v116(constB185))),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3638, 3637])).
% 134.73/85.41 tff(3640,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3639, 934, 3476, 3636])).
% 134.73/85.41 tff(3641,plain,(v110(constB185) | v84(constB185, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3642,plain,
% 134.73/85.41 (v110(constB185)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3641, 3608])).
% 134.73/85.41 tff(3643,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3474, 3642, 3453])).
% 134.73/85.41 tff(3644,plain,(v94(constB186) | (~v94(constB184))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3645,plain,
% 134.73/85.41 (v94(constB186)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3644, 3239])).
% 134.73/85.41 tff(3646,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB183)) | (~b010(bitIndex1)) | v124(constB183, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB183)) | (~b010(bitIndex1)) | v124(constB183, bitIndex1))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3647,plain,
% 134.73/85.41 (((~v145(constB183)) | (~less_3(bitIndex1)) | v124(constB183, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB183)) | (~b010(bitIndex1)) | v124(constB183, bitIndex1))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3648,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB183)) | (~less_3(bitIndex1)) | v124(constB183, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB183)) | (~b010(bitIndex1)) | v124(constB183, bitIndex1)))),
% 134.73/85.41 inference(monotonicity,[status(thm)],[3647])).
% 134.73/85.41 tff(3649,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB183)) | (~less_3(bitIndex1)) | v124(constB183, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB183)) | (~b010(bitIndex1)) | v124(constB183, bitIndex1))),
% 134.73/85.41 inference(transitivity,[status(thm)],[3648, 3646])).
% 134.73/85.41 tff(3650,plain,
% 134.73/85.41 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB183)) | (~less_3(bitIndex1)) | v124(constB183, bitIndex1) | (~b010(bitIndex1)))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3651,plain,
% 134.73/85.41 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB183)) | (~b010(bitIndex1)) | v124(constB183, bitIndex1)),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 134.73/85.41 tff(3652,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3651, 1821, 1818, 823, 718, 2979])).
% 134.73/85.41 tff(3653,plain,(v124(constB183, bitIndex1) | (~v145(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3654,plain,
% 134.73/85.41 (v124(constB183, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3653, 524])).
% 134.73/85.41 tff(3655,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3656,plain,
% 134.73/85.41 ((v26(constB183) | v121(constB183, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1))) <=> (v26(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3657,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | v121(constB183, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)))),
% 134.73/85.41 inference(monotonicity,[status(thm)],[3656])).
% 134.73/85.41 tff(3658,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | v121(constB183, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1))),
% 134.73/85.41 inference(transitivity,[status(thm)],[3657, 3655])).
% 134.73/85.41 tff(3659,plain,
% 134.73/85.41 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | v121(constB183, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3660,plain,
% 134.73/85.41 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex1)) | (~v124(constB183, bitIndex1)) | v121(constB183, bitIndex1)),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3659, 3658])).
% 134.73/85.41 tff(3661,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3660, 1728, 823, 2699, 2987, 2970])).
% 134.73/85.41 tff(3662,plain,(v121(constB183, bitIndex1) | (~v124(constB183, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3663,plain,
% 134.73/85.41 (v121(constB183, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3662, 3654])).
% 134.73/85.41 tff(3664,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex1)) | v123(constB184, bitIndex1) | (~v121(constB183, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex1)) | v123(constB184, bitIndex1) | (~v121(constB183, bitIndex1)))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3665,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex1)) | v123(constB184, bitIndex1) | (~v121(constB183, bitIndex1)))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3666,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex1)) | v123(constB184, bitIndex1) | (~v121(constB183, bitIndex1))),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 134.73/85.41 tff(3667,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3666, 1708, 823, 451, 2978, 2963])).
% 134.73/85.41 tff(3668,plain,(v123(constB184, bitIndex1) | (~v121(constB183, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3669,plain,
% 134.73/85.41 (v123(constB184, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3668, 3663])).
% 134.73/85.41 tff(3670,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v84(constB184, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v84(constB184, bitIndex1))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3671,plain,
% 134.73/85.41 (((~less_3(bitIndex1)) | (~v94(constB184)) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1))) <=> ((~v94(constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v84(constB184, bitIndex1))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3672,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB184)) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v84(constB184, bitIndex1)))),
% 134.73/85.41 inference(monotonicity,[status(thm)],[3671])).
% 134.73/85.41 tff(3673,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB184)) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v84(constB184, bitIndex1))),
% 134.73/85.41 inference(transitivity,[status(thm)],[3672, 3670])).
% 134.73/85.41 tff(3674,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB184)) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1)))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3675,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB184)) | (~less_3(bitIndex1)) | (~v123(constB184, bitIndex1)) | v84(constB184, bitIndex1)),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 134.73/85.41 tff(3676,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3675, 1674, 823, 2676, 2460, 2971])).
% 134.73/85.41 tff(3677,plain,(v84(constB184, bitIndex1) | (~v94(constB184)) | (~v123(constB184, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3678,plain,
% 134.73/85.41 (v84(constB184, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3677, 3669, 3239])).
% 134.73/85.41 tff(3679,plain,
% 134.73/85.41 (~v124(constB183, bitIndex0)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2717, 524])).
% 134.73/85.41 tff(3680,plain,
% 134.73/85.41 (~v121(constB183, bitIndex0)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2707, 3679])).
% 134.73/85.41 tff(3681,plain,
% 134.73/85.41 (~v123(constB184, bitIndex0)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2692, 3680])).
% 134.73/85.41 tff(3682,plain,
% 134.73/85.41 (~v84(constB184, bitIndex0)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2681, 3681, 3239])).
% 134.73/85.41 tff(3683,plain,
% 134.73/85.41 (~v84(constB183, bitIndex2)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[728, 725, 524])).
% 134.73/85.41 tff(3684,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB184, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB184, bitIndex2)))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3685,plain,
% 134.73/85.41 (((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB184, bitIndex2)) | v84(constB183, bitIndex2)) <=> ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB184, bitIndex2)))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3686,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB184, bitIndex2)) | v84(constB183, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB184, bitIndex2))))),
% 134.73/85.41 inference(monotonicity,[status(thm)],[3685])).
% 134.73/85.41 tff(3687,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB184, bitIndex2)) | v84(constB183, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB184, bitIndex2)))),
% 134.73/85.41 inference(transitivity,[status(thm)],[3686, 3684])).
% 134.73/85.41 tff(3688,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | (~v84(constB184, bitIndex2)) | v84(constB183, bitIndex2))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3689,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB183, constB184)) | v94(constB184) | (~less_3(bitIndex2)) | v84(constB183, bitIndex2) | (~v84(constB184, bitIndex2))),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3688, 3687])).
% 134.73/85.41 tff(3690,plain,
% 134.73/85.41 (v94(constB184) | v84(constB183, bitIndex2)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3689, 805, 767, 451, 2785])).
% 134.73/85.41 tff(3691,plain,
% 134.73/85.41 (v94(constB184)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3690, 1252])).
% 134.73/85.41 tff(3692,plain,
% 134.73/85.41 ((~v94(constB184)) | v123(constB184, bitIndex2)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2789, 1344, 767, 2785])).
% 134.73/85.41 tff(3693,plain,
% 134.73/85.41 (v123(constB184, bitIndex2)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3692, 3691])).
% 134.73/85.41 tff(3694,plain,
% 134.73/85.41 (v121(constB183, bitIndex2)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2797, 1362, 767, 451, 3693])).
% 134.73/85.41 tff(3695,plain,
% 134.73/85.41 (v124(constB183, bitIndex2)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2808, 1380, 767, 2699, 3694])).
% 134.73/85.41 tff(3696,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB183)) | (~v124(constB183, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3697,plain,
% 134.73/85.41 (((~v145(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3698,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB183)) | (~v124(constB183, bitIndex2))))),
% 134.73/85.41 inference(monotonicity,[status(thm)],[3697])).
% 134.73/85.41 tff(3699,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB183)) | (~v124(constB183, bitIndex2)))),
% 134.73/85.41 inference(transitivity,[status(thm)],[3698, 3696])).
% 134.73/85.41 tff(3700,plain,
% 134.73/85.41 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB183)) | (~less_3(bitIndex2)) | (~v124(constB183, bitIndex2)) | b010(bitIndex2))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3701,plain,
% 134.73/85.41 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB183)) | (~v124(constB183, bitIndex2))),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3700, 3699])).
% 134.73/85.41 tff(3702,plain,
% 134.73/85.41 (~v145(constB183)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3701, 1419, 1416, 767, 3695])).
% 134.73/85.41 tff(3703,plain,
% 134.73/85.41 ((~v94(constB184)) | v123(constB184, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2966, 1344, 823, 2962])).
% 134.73/85.41 tff(3704,plain,
% 134.73/85.41 (v123(constB184, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3703, 3691])).
% 134.73/85.41 tff(3705,plain,
% 134.73/85.41 (v121(constB183, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2974, 1362, 823, 451, 3704])).
% 134.73/85.41 tff(3706,plain,
% 134.73/85.41 (v124(constB183, bitIndex1)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[2982, 1380, 823, 2699, 3705])).
% 134.73/85.41 tff(3707,plain,
% 134.73/85.41 (~v116(constB183)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3002, 2167, 2164, 823, 3706])).
% 134.73/85.41 tff(3708,plain,
% 134.73/85.41 (~v84(constB183, bitIndex0)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[1296, 3707, 1252, 3702])).
% 134.73/85.41 tff(3709,plain,
% 134.73/85.41 (v109(constB183)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[1323, 1252])).
% 134.73/85.41 tff(3710,plain,
% 134.73/85.41 (v108(constB183)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[1239, 669, 3709])).
% 134.73/85.41 tff(3711,plain,
% 134.73/85.41 (v107(constB183)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[1231, 658, 3710])).
% 134.73/85.41 tff(3712,plain,
% 134.73/85.41 (v102(constB183)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[925, 3711])).
% 134.73/85.41 tff(3713,plain,
% 134.73/85.41 (v104(constB184)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[905, 3712])).
% 134.73/85.41 tff(3714,plain,
% 134.73/85.41 (v94(constB184)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[897, 3713])).
% 134.73/85.41 tff(3715,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v84(constB184, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v84(constB184, bitIndex0))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3716,plain,
% 134.73/85.41 (((~less_3(bitIndex0)) | (~v94(constB184)) | v84(constB184, bitIndex0) | (~v123(constB184, bitIndex0))) <=> ((~v94(constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v84(constB184, bitIndex0))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3717,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB184)) | v84(constB184, bitIndex0) | (~v123(constB184, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v84(constB184, bitIndex0)))),
% 134.73/85.41 inference(monotonicity,[status(thm)],[3716])).
% 134.73/85.41 tff(3718,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB184)) | v84(constB184, bitIndex0) | (~v123(constB184, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v84(constB184, bitIndex0))),
% 134.73/85.41 inference(transitivity,[status(thm)],[3717, 3715])).
% 134.73/85.41 tff(3719,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB184)) | v84(constB184, bitIndex0) | (~v123(constB184, bitIndex0)))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3720,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB184)) | (~less_3(bitIndex0)) | (~v123(constB184, bitIndex0)) | v84(constB184, bitIndex0)),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3719, 3718])).
% 134.73/85.41 tff(3721,plain,
% 134.73/85.41 ((~v94(constB184)) | (~v123(constB184, bitIndex0))),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3720, 1674, 795, 2486])).
% 134.73/85.41 tff(3722,plain,
% 134.73/85.41 (~v123(constB184, bitIndex0)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3721, 3714])).
% 134.73/85.41 tff(3723,plain,
% 134.73/85.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v123(constB184, bitIndex0) | (~v121(constB183, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v123(constB184, bitIndex0) | (~v121(constB183, bitIndex0)))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3724,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v123(constB184, bitIndex0) | (~v121(constB183, bitIndex0)))),
% 134.73/85.41 inference(quant_inst,[status(thm)],[])).
% 134.73/85.41 tff(3725,plain,
% 134.73/85.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB183, constB184)) | (~less_3(bitIndex0)) | v123(constB184, bitIndex0) | (~v121(constB183, bitIndex0))),
% 134.73/85.41 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 134.73/85.41 tff(3726,plain,
% 134.73/85.41 ($false),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3725, 1708, 795, 451, 2694, 2675])).
% 134.73/85.41 tff(3727,plain,(v123(constB184, bitIndex0) | (~v121(constB183, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.41 tff(3728,plain,
% 134.73/85.41 (~v121(constB183, bitIndex0)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3727, 3722])).
% 134.73/85.41 tff(3729,plain,
% 134.73/85.41 (v84(constB183, bitIndex2) | v115(constB183)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[1316, 1095, 1886, 1305])).
% 134.73/85.41 tff(3730,plain,
% 134.73/85.41 (v115(constB183)),
% 134.73/85.41 inference(unit_resolution,[status(thm)],[3729, 1252])).
% 134.73/85.41 tff(3731,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB183)) | (~b011(bitIndex0)) | v124(constB183, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB183)) | (~b011(bitIndex0)) | v124(constB183, bitIndex0))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3732,plain,
% 134.73/85.41 (((~v115(constB183)) | (~less_3(bitIndex0)) | v124(constB183, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB183)) | (~b011(bitIndex0)) | v124(constB183, bitIndex0))),
% 134.73/85.41 inference(rewrite,[status(thm)],[])).
% 134.73/85.41 tff(3733,plain,
% 134.73/85.41 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB183)) | (~less_3(bitIndex0)) | v124(constB183, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB183)) | (~b011(bitIndex0)) | v124(constB183, bitIndex0)))),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3732])).
% 134.73/85.42 tff(3734,plain,
% 134.73/85.42 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB183)) | (~less_3(bitIndex0)) | v124(constB183, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB183)) | (~b011(bitIndex0)) | v124(constB183, bitIndex0))),
% 134.73/85.42 inference(transitivity,[status(thm)],[3733, 3731])).
% 134.73/85.42 tff(3735,plain,
% 134.73/85.42 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB183)) | (~less_3(bitIndex0)) | v124(constB183, bitIndex0) | (~b011(bitIndex0)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3736,plain,
% 134.73/85.42 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB183)) | (~b011(bitIndex0)) | v124(constB183, bitIndex0)),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 134.73/85.42 tff(3737,plain,
% 134.73/85.42 ($false),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3736, 1148, 1193, 795, 2813, 2695])).
% 134.73/85.42 tff(3738,plain,(v124(constB183, bitIndex0) | (~v115(constB183))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.42 tff(3739,plain,
% 134.73/85.42 (v124(constB183, bitIndex0)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3738, 3730])).
% 134.73/85.42 tff(3740,plain,
% 134.73/85.42 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v124(constB183, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v124(constB183, bitIndex0)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3741,plain,
% 134.73/85.42 ((v26(constB183) | v121(constB183, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0))) <=> (v26(constB183) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v124(constB183, bitIndex0)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3742,plain,
% 134.73/85.42 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | v121(constB183, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v124(constB183, bitIndex0))))),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3741])).
% 134.73/85.42 tff(3743,plain,
% 134.73/85.42 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | v121(constB183, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v124(constB183, bitIndex0)))),
% 134.73/85.42 inference(transitivity,[status(thm)],[3742, 3740])).
% 134.73/85.42 tff(3744,plain,
% 134.73/85.42 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB183) | v121(constB183, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB183, bitIndex0)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3745,plain,
% 134.73/85.42 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB183) | (~less_3(bitIndex0)) | v121(constB183, bitIndex0) | (~v124(constB183, bitIndex0))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3744, 3743])).
% 134.73/85.42 tff(3746,plain,
% 134.73/85.42 ($false),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3745, 1728, 795, 2699, 3739, 3728])).
% 134.73/85.42 tff(3747,plain,(v84(constB183, bitIndex2) | v84(constB184, bitIndex0) | v84(constB183, bitIndex0) | (~v84(constB183, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.42 tff(3748,plain,
% 134.73/85.42 (~v84(constB183, bitIndex1)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3747, 3708, 2486, 1252])).
% 134.73/85.42 tff(3749,plain,
% 134.73/85.42 (v124(constB181, bitIndex0)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[2122, 3748, 1252, 2214])).
% 134.73/85.42 tff(3750,plain,
% 134.73/85.42 (~v84(constB182, bitIndex0)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[2222, 3708])).
% 134.73/85.42 tff(3751,plain,
% 134.73/85.42 (~v123(constB182, bitIndex0)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[2231, 3750, 2214])).
% 134.73/85.42 tff(3752,plain,
% 134.73/85.42 (~v121(constB181, bitIndex0)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[2239, 3751])).
% 134.73/85.42 tff(3753,plain,
% 134.73/85.42 ($false),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[2212, 3752, 3749])).
% 134.73/85.42 tff(3754,plain,(v84(constB183, bitIndex2) | v84(constB184, bitIndex0) | (~v84(constB184, bitIndex1)) | (~v84(constB184, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.42 tff(3755,plain,
% 134.73/85.42 (~v84(constB184, bitIndex2)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3754, 3683, 3682, 3678])).
% 134.73/85.42 tff(3756,plain,
% 134.73/85.42 (~v84(constB185, bitIndex2)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3607, 3755])).
% 134.73/85.42 tff(3757,assumption,(~v84(constB185, bitIndex1)), introduced(assumption)).
% 134.73/85.42 tff(3758,plain,
% 134.73/85.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex1)) | v84(constB185, bitIndex1) | (~v84(constB184, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex1)) | v84(constB185, bitIndex1) | (~v84(constB184, bitIndex1)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3759,plain,
% 134.73/85.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex1)) | v84(constB185, bitIndex1) | (~v84(constB184, bitIndex1)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3760,plain,
% 134.73/85.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB184, constB185)) | v94(constB185) | (~less_3(bitIndex1)) | v84(constB185, bitIndex1) | (~v84(constB184, bitIndex1))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3759, 3758])).
% 134.73/85.42 tff(3761,plain,
% 134.73/85.42 ($false),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3760, 777, 823, 378, 3574, 2962, 3757])).
% 134.73/85.42 tff(3762,plain,(v84(constB185, bitIndex1) | (~v84(constB184, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.42 tff(3763,plain,
% 134.73/85.42 (v84(constB185, bitIndex1)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3762, 3678])).
% 134.73/85.42 tff(3764,assumption,(v84(constB185, bitIndex1)), introduced(assumption)).
% 134.73/85.42 tff(3765,plain,
% 134.73/85.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v145(constB185)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v145(constB185)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3766,plain,
% 134.73/85.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB185, bitIndex1)) | (~v145(constB185)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3767,plain,
% 134.73/85.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB185, bitIndex1)) | (~v145(constB185))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 134.73/85.42 tff(3768,plain,
% 134.73/85.42 ($false),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3767, 816, 3611, 3764])).
% 134.73/85.42 tff(3769,plain,((~v145(constB185)) | (~v84(constB185, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.42 tff(3770,plain,
% 134.73/85.42 (~v145(constB185)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3769, 3763])).
% 134.73/85.42 tff(3771,plain,
% 134.73/85.42 (v102(constB189) <=> v102(sK0_VarCurr)),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3])).
% 134.73/85.42 tff(3772,plain,
% 134.73/85.42 (v102(sK0_VarCurr) <=> v102(constB189)),
% 134.73/85.42 inference(symmetry,[status(thm)],[3771])).
% 134.73/85.42 tff(3773,plain,
% 134.73/85.42 ((~v102(sK0_VarCurr)) <=> (~v102(constB189))),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3772])).
% 134.73/85.42 tff(3774,assumption,(~v84(sK0_VarCurr, bitIndex0)), introduced(assumption)).
% 134.73/85.42 tff(3775,assumption,(~v107(sK0_VarCurr)), introduced(assumption)).
% 134.73/85.42 tff(3776,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(sK0_VarCurr) | (~v108(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(sK0_VarCurr) | (~v108(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3777,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(sK0_VarCurr) | (~v108(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3778,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(sK0_VarCurr) | (~v108(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 134.73/85.42 tff(3779,plain,
% 134.73/85.42 (~v108(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3778, 658, 3775])).
% 134.73/85.42 tff(3780,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(sK0_VarCurr) | (~v109(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(sK0_VarCurr) | (~v109(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3781,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(sK0_VarCurr) | (~v109(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3782,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(sK0_VarCurr) | (~v109(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 134.73/85.42 tff(3783,plain,
% 134.73/85.42 (~v109(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3782, 669, 3779])).
% 134.73/85.42 tff(3784,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(sK0_VarCurr) | (~v110(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(sK0_VarCurr) | (~v110(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3785,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(sK0_VarCurr) | (~v110(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3786,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(sK0_VarCurr) | (~v110(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 134.73/85.42 tff(3787,plain,
% 134.73/85.42 (~v110(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3786, 680, 3783])).
% 134.73/85.42 tff(3788,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(sK0_VarCurr) | (~v111(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(sK0_VarCurr) | (~v111(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3789,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(sK0_VarCurr) | (~v111(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3790,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(sK0_VarCurr) | (~v111(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 134.73/85.42 tff(3791,plain,
% 134.73/85.42 (~v111(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3790, 691, 3787])).
% 134.73/85.42 tff(3792,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(sK0_VarCurr) | (~v112(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(sK0_VarCurr) | (~v112(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3793,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(sK0_VarCurr) | (~v112(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3794,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(sK0_VarCurr) | (~v112(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 134.73/85.42 tff(3795,plain,
% 134.73/85.42 (~v112(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3794, 702, 3791])).
% 134.73/85.42 tff(3796,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(sK0_VarCurr) | (~v119(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(sK0_VarCurr) | (~v119(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3797,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(sK0_VarCurr) | (~v119(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3798,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(sK0_VarCurr) | (~v119(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3797, 3796])).
% 134.73/85.42 tff(3799,plain,
% 134.73/85.42 (~v119(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3798, 1927, 3775])).
% 134.73/85.42 tff(3800,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(sK0_VarCurr) | (~v115(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(sK0_VarCurr) | (~v115(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3801,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(sK0_VarCurr) | (~v115(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3802,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(sK0_VarCurr) | (~v115(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 134.73/85.42 tff(3803,plain,
% 134.73/85.42 (~v115(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3802, 945, 3791])).
% 134.73/85.42 tff(3804,assumption,(~v113(sK0_VarCurr)), introduced(assumption)).
% 134.73/85.42 tff(3805,assumption,(~v84(sK0_VarCurr, bitIndex1)), introduced(assumption)).
% 134.73/85.42 tff(3806,plain,
% 134.73/85.42 (^[VarCurr: $i] : refl((v169(VarCurr) | (~v168(VarCurr))) <=> (v169(VarCurr) | (~v168(VarCurr))))),
% 134.73/85.42 inference(bind,[status(th)],[])).
% 134.73/85.42 tff(3807,plain,
% 134.73/85.42 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 134.73/85.42 inference(quant_intro,[status(thm)],[3806])).
% 134.73/85.42 tff(3808,plain,
% 134.73/85.42 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3809,axiom,(![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_43_1_1_1_1')).
% 134.73/85.42 tff(3810,plain,
% 134.73/85.42 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 134.73/85.42 tff(3811,plain,(
% 134.73/85.42 ![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 134.73/85.42 inference(skolemize,[status(sab)],[3810])).
% 134.73/85.42 tff(3812,plain,
% 134.73/85.42 (![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3811, 3807])).
% 134.73/85.42 tff(3813,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3814,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | (v169(sK0_VarCurr) | (~v168(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3815,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v169(VarCurr) | (~v168(VarCurr)))) | v169(sK0_VarCurr) | (~v168(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3814, 3813])).
% 134.73/85.42 tff(3816,plain,
% 134.73/85.42 (v169(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3815, 3812, 8])).
% 134.73/85.42 tff(3817,plain,
% 134.73/85.42 (^[VarCurr: $i] : refl((v170(VarCurr) | (~v169(VarCurr))) <=> (v170(VarCurr) | (~v169(VarCurr))))),
% 134.73/85.42 inference(bind,[status(th)],[])).
% 134.73/85.42 tff(3818,plain,
% 134.73/85.42 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 134.73/85.42 inference(quant_intro,[status(thm)],[3817])).
% 134.73/85.42 tff(3819,plain,
% 134.73/85.42 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3820,axiom,(![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_42_1_1_1_1')).
% 134.73/85.42 tff(3821,plain,
% 134.73/85.42 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 134.73/85.42 tff(3822,plain,(
% 134.73/85.42 ![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 134.73/85.42 inference(skolemize,[status(sab)],[3821])).
% 134.73/85.42 tff(3823,plain,
% 134.73/85.42 (![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3822, 3818])).
% 134.73/85.42 tff(3824,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3825,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | (v170(sK0_VarCurr) | (~v169(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3826,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v170(VarCurr) | (~v169(VarCurr)))) | v170(sK0_VarCurr) | (~v169(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 134.73/85.42 tff(3827,plain,
% 134.73/85.42 (v170(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3826, 3823, 3816])).
% 134.73/85.42 tff(3828,plain,
% 134.73/85.42 (^[VarCurr: $i] : refl(((~v172(VarCurr)) | (~v170(VarCurr))) <=> ((~v172(VarCurr)) | (~v170(VarCurr))))),
% 134.73/85.42 inference(bind,[status(th)],[])).
% 134.73/85.42 tff(3829,plain,
% 134.73/85.42 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 134.73/85.42 inference(quant_intro,[status(thm)],[3828])).
% 134.73/85.42 tff(3830,plain,
% 134.73/85.42 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr))) <=> ![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3831,axiom,(![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_41_1_1_1_1')).
% 134.73/85.42 tff(3832,plain,
% 134.73/85.42 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 134.73/85.42 tff(3833,plain,(
% 134.73/85.42 ![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 134.73/85.42 inference(skolemize,[status(sab)],[3832])).
% 134.73/85.42 tff(3834,plain,
% 134.73/85.42 (![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3833, 3829])).
% 134.73/85.42 tff(3835,plain,
% 134.73/85.42 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | (~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3836,plain,
% 134.73/85.42 (((~v172(sK0_VarCurr)) | (~v170(sK0_VarCurr))) <=> ((~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3837,plain,
% 134.73/85.42 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v172(sK0_VarCurr)) | (~v170(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr))))),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3836])).
% 134.73/85.42 tff(3838,plain,
% 134.73/85.42 (((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v172(sK0_VarCurr)) | (~v170(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | (~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr)))),
% 134.73/85.42 inference(transitivity,[status(thm)],[3837, 3835])).
% 134.73/85.42 tff(3839,plain,
% 134.73/85.42 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | ((~v172(sK0_VarCurr)) | (~v170(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3840,plain,
% 134.73/85.42 ((~![VarCurr: $i] : ((~v172(VarCurr)) | (~v170(VarCurr)))) | (~v170(sK0_VarCurr)) | (~v172(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 134.73/85.42 tff(3841,plain,
% 134.73/85.42 (~v172(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3840, 3834, 3827])).
% 134.73/85.42 tff(3842,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v172(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v172(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3843,plain,
% 134.73/85.42 ((v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v172(sK0_VarCurr)) <=> (v172(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3844,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v172(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v172(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2))))),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3843])).
% 134.73/85.42 tff(3845,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v172(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v172(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)))),
% 134.73/85.42 inference(transitivity,[status(thm)],[3844, 3842])).
% 134.73/85.42 tff(3846,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v172(sK0_VarCurr))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3847,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v172(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3846, 3845])).
% 134.73/85.42 tff(3848,plain,
% 134.73/85.42 (v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2))),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3847, 1047, 3841])).
% 134.73/85.42 tff(3849,plain,
% 134.73/85.42 (~v84(sK0_VarCurr, bitIndex2)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3848, 3774, 3805])).
% 134.73/85.42 tff(3850,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3851,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3852,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2)),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 134.73/85.42 tff(3853,plain,
% 134.73/85.42 (v113(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex2)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3852, 983, 3805])).
% 134.73/85.42 tff(3854,plain,
% 134.73/85.42 ($false),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3853, 3849, 3774, 3804])).
% 134.73/85.42 tff(3855,plain,(v84(sK0_VarCurr, bitIndex0) | v113(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.42 tff(3856,plain,
% 134.73/85.42 (v84(sK0_VarCurr, bitIndex1)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3855, 3774, 3804])).
% 134.73/85.42 tff(3857,assumption,(~v119(sK0_VarCurr)), introduced(assumption)).
% 134.73/85.42 tff(3858,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex2)) | (~v84(sK0_VarCurr, bitIndex1)) | v119(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex2)) | (~v84(sK0_VarCurr, bitIndex1)) | v119(sK0_VarCurr))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3859,plain,
% 134.73/85.42 ((v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex1)) | (~v84(sK0_VarCurr, bitIndex2)) | v119(sK0_VarCurr)) <=> (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex2)) | (~v84(sK0_VarCurr, bitIndex1)) | v119(sK0_VarCurr))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3860,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex1)) | (~v84(sK0_VarCurr, bitIndex2)) | v119(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex2)) | (~v84(sK0_VarCurr, bitIndex1)) | v119(sK0_VarCurr)))),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3859])).
% 134.73/85.42 tff(3861,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex1)) | (~v84(sK0_VarCurr, bitIndex2)) | v119(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex2)) | (~v84(sK0_VarCurr, bitIndex1)) | v119(sK0_VarCurr))),
% 134.73/85.42 inference(transitivity,[status(thm)],[3860, 3858])).
% 134.73/85.42 tff(3862,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex1)) | (~v84(sK0_VarCurr, bitIndex2)) | v119(sK0_VarCurr))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3863,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex2)) | (~v84(sK0_VarCurr, bitIndex1)) | v119(sK0_VarCurr)),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3862, 3861])).
% 134.73/85.42 tff(3864,plain,
% 134.73/85.42 (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex2)) | (~v84(sK0_VarCurr, bitIndex1))),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3863, 1910, 3857])).
% 134.73/85.42 tff(3865,plain,
% 134.73/85.42 (~v84(sK0_VarCurr, bitIndex2)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3864, 3856, 3774])).
% 134.73/85.42 tff(3866,assumption,(~v115(sK0_VarCurr)), introduced(assumption)).
% 134.73/85.42 tff(3867,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex1)) | v115(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex1)) | v115(sK0_VarCurr))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3868,plain,
% 134.73/85.42 ((v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex1)) | v84(sK0_VarCurr, bitIndex2) | v115(sK0_VarCurr)) <=> (v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex1)) | v115(sK0_VarCurr))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3869,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex1)) | v84(sK0_VarCurr, bitIndex2) | v115(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex1)) | v115(sK0_VarCurr)))),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3868])).
% 134.73/85.42 tff(3870,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex1)) | v84(sK0_VarCurr, bitIndex2) | v115(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex1)) | v115(sK0_VarCurr))),
% 134.73/85.42 inference(transitivity,[status(thm)],[3869, 3867])).
% 134.73/85.42 tff(3871,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(sK0_VarCurr, bitIndex0) | (~v84(sK0_VarCurr, bitIndex1)) | v84(sK0_VarCurr, bitIndex2) | v115(sK0_VarCurr))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3872,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex1)) | v115(sK0_VarCurr)),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 134.73/85.42 tff(3873,plain,
% 134.73/85.42 (v84(sK0_VarCurr, bitIndex0) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex1))),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3872, 1095, 3866])).
% 134.73/85.42 tff(3874,plain,
% 134.73/85.42 ($false),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3873, 3865, 3856, 3774])).
% 134.73/85.42 tff(3875,plain,(v84(sK0_VarCurr, bitIndex0) | v115(sK0_VarCurr) | v119(sK0_VarCurr) | v113(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.42 tff(3876,plain,
% 134.73/85.42 (v113(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3875, 3803, 3774, 3799])).
% 134.73/85.42 tff(3877,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(sK0_VarCurr) | (~v113(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(sK0_VarCurr) | (~v113(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3878,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(sK0_VarCurr) | (~v113(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3879,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(sK0_VarCurr) | (~v113(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3878, 3877])).
% 134.73/85.42 tff(3880,plain,
% 134.73/85.42 ($false),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3879, 969, 3876, 3795])).
% 134.73/85.42 tff(3881,plain,(v107(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.42 tff(3882,plain,
% 134.73/85.42 (v107(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3881, 3774])).
% 134.73/85.42 tff(3883,plain,
% 134.73/85.42 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v169(VarCurr))) <=> ((~v26(VarCurr)) | (~v169(VarCurr))))),
% 134.73/85.42 inference(bind,[status(th)],[])).
% 134.73/85.42 tff(3884,plain,
% 134.73/85.42 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))),
% 134.73/85.42 inference(quant_intro,[status(thm)],[3883])).
% 134.73/85.42 tff(3885,plain,
% 134.73/85.42 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3886,axiom,(![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_42_1_1_1_2')).
% 134.73/85.42 tff(3887,plain,
% 134.73/85.42 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3886, 3885])).
% 134.73/85.42 tff(3888,plain,(
% 134.73/85.42 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))),
% 134.73/85.42 inference(skolemize,[status(sab)],[3887])).
% 134.73/85.42 tff(3889,plain,
% 134.73/85.42 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3888, 3884])).
% 134.73/85.42 tff(3890,plain,
% 134.73/85.42 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))) | ((~v26(sK0_VarCurr)) | (~v169(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))) | (~v26(sK0_VarCurr)) | (~v169(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3891,plain,
% 134.73/85.42 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))) | ((~v26(sK0_VarCurr)) | (~v169(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3892,plain,
% 134.73/85.42 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v169(VarCurr)))) | (~v26(sK0_VarCurr)) | (~v169(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3891, 3890])).
% 134.73/85.42 tff(3893,plain,
% 134.73/85.42 (~v26(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3892, 3889, 3816])).
% 134.73/85.42 tff(3894,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(sK0_VarCurr) | v106(sK0_VarCurr) | (~v107(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(sK0_VarCurr) | v106(sK0_VarCurr) | (~v107(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3895,plain,
% 134.73/85.42 ((v26(sK0_VarCurr) | (~v107(sK0_VarCurr)) | v106(sK0_VarCurr)) <=> (v26(sK0_VarCurr) | v106(sK0_VarCurr) | (~v107(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3896,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(sK0_VarCurr) | (~v107(sK0_VarCurr)) | v106(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(sK0_VarCurr) | v106(sK0_VarCurr) | (~v107(sK0_VarCurr))))),
% 134.73/85.42 inference(monotonicity,[status(thm)],[3895])).
% 134.73/85.42 tff(3897,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(sK0_VarCurr) | (~v107(sK0_VarCurr)) | v106(sK0_VarCurr))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(sK0_VarCurr) | v106(sK0_VarCurr) | (~v107(sK0_VarCurr)))),
% 134.73/85.42 inference(transitivity,[status(thm)],[3896, 3894])).
% 134.73/85.42 tff(3898,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(sK0_VarCurr) | (~v107(sK0_VarCurr)) | v106(sK0_VarCurr))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3899,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(sK0_VarCurr) | v106(sK0_VarCurr) | (~v107(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 134.73/85.42 tff(3900,plain,
% 134.73/85.42 (v106(sK0_VarCurr) | (~v107(sK0_VarCurr))),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3899, 644, 3893])).
% 134.73/85.42 tff(3901,plain,
% 134.73/85.42 (v106(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3900, 3882])).
% 134.73/85.42 tff(3902,plain,
% 134.73/85.42 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(sK0_VarCurr) | (~v106(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(sK0_VarCurr) | (~v106(sK0_VarCurr)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3903,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(sK0_VarCurr) | (~v106(sK0_VarCurr)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3904,plain,
% 134.73/85.42 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(sK0_VarCurr) | (~v106(sK0_VarCurr))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 134.73/85.42 tff(3905,plain,
% 134.73/85.42 (v102(sK0_VarCurr)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3904, 619, 3901])).
% 134.73/85.42 tff(3906,assumption,(~v94(constB124)), introduced(assumption)).
% 134.73/85.42 tff(3907,plain,
% 134.73/85.42 ((~v1(constB123)) <=> (~v1(constB123))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3908,axiom,(~v1(constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_123_1_1')).
% 134.73/85.42 tff(3909,plain,
% 134.73/85.42 (~v1(constB123)),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3908, 3907])).
% 134.73/85.42 tff(3910,plain,
% 134.73/85.42 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3911,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_123_1')).
% 134.73/85.42 tff(3912,plain,
% 134.73/85.42 (nextState(constB123, constB124)),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 134.73/85.42 tff(3913,plain,
% 134.73/85.42 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3914,plain,
% 134.73/85.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124)))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3915,plain,
% 134.73/85.42 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB123) | (~nextState(constB123, constB124)) | (~v98(constB124))),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3914, 3913])).
% 134.73/85.42 tff(3916,plain,
% 134.73/85.42 (~v98(constB124)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3915, 541, 3912, 3909])).
% 134.73/85.42 tff(3917,plain,
% 134.73/85.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3918,plain,
% 134.73/85.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB123, constB124)) | v96(constB124) | v98(constB124))),
% 134.73/85.42 inference(quant_inst,[status(thm)],[])).
% 134.73/85.42 tff(3919,plain,
% 134.73/85.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB123, constB124)) | v96(constB124) | v98(constB124)),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3918, 3917])).
% 134.73/85.42 tff(3920,plain,
% 134.73/85.42 (v96(constB124) | v98(constB124)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3919, 555, 3912])).
% 134.73/85.42 tff(3921,plain,
% 134.73/85.42 (v96(constB124)),
% 134.73/85.42 inference(unit_resolution,[status(thm)],[3920, 3916])).
% 134.73/85.42 tff(3922,plain,
% 134.73/85.42 (v1(constB124) <=> v1(constB124)),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3923,axiom,(v1(constB124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_124_1')).
% 134.73/85.42 tff(3924,plain,
% 134.73/85.42 (v1(constB124)),
% 134.73/85.42 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 134.73/85.42 tff(3925,plain,
% 134.73/85.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 134.73/85.42 inference(rewrite,[status(thm)],[])).
% 134.73/85.42 tff(3926,plain,
% 134.73/85.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3927,plain,
% 134.73/85.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB123, constB124)) | v95(constB124) | (~v96(constB124)) | (~v1(constB124))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3926, 3925])).
% 134.73/85.43 tff(3928,plain,
% 134.73/85.43 (v95(constB124) | (~v96(constB124))),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3927, 573, 3912, 3924])).
% 134.73/85.43 tff(3929,plain,
% 134.73/85.43 (v95(constB124)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3928, 3921])).
% 134.73/85.43 tff(3930,plain,
% 134.73/85.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3931,plain,
% 134.73/85.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3932,plain,
% 134.73/85.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB123, constB124)) | (~v95(constB124)) | (~v104(constB124)) | v94(constB124)),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3931, 3930])).
% 134.73/85.43 tff(3933,plain,
% 134.73/85.43 ((~v95(constB124)) | (~v104(constB124)) | v94(constB124)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3932, 588, 3912])).
% 134.73/85.43 tff(3934,plain,
% 134.73/85.43 ((~v104(constB124)) | v94(constB124)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3933, 3929])).
% 134.73/85.43 tff(3935,plain,
% 134.73/85.43 (~v104(constB124)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3934, 3906])).
% 134.73/85.43 tff(3936,plain,
% 134.73/85.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3937,plain,
% 134.73/85.43 (((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124)) <=> ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3938,plain,
% 134.73/85.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))))),
% 134.73/85.43 inference(monotonicity,[status(thm)],[3937])).
% 134.73/85.43 tff(3939,plain,
% 134.73/85.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123)))),
% 134.73/85.43 inference(transitivity,[status(thm)],[3938, 3936])).
% 134.73/85.43 tff(3940,plain,
% 134.73/85.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB123, constB124)) | (~v102(constB123)) | v104(constB124))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3941,plain,
% 134.73/85.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v102(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 134.73/85.43 tff(3942,plain,
% 134.73/85.43 (v104(constB124) | (~v102(constB123))),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3941, 604, 3912])).
% 134.73/85.43 tff(3943,plain,
% 134.73/85.43 (~v102(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3942, 3935])).
% 134.73/85.43 tff(3944,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB123) | (~v106(constB123)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB123) | (~v106(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3945,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB123) | (~v106(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3946,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB123) | (~v106(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3945, 3944])).
% 134.73/85.43 tff(3947,plain,
% 134.73/85.43 (~v106(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3946, 619, 3943])).
% 134.73/85.43 tff(3948,assumption,(v26(constB123)), introduced(assumption)).
% 134.73/85.43 tff(3949,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3950,plain,
% 134.73/85.43 ($false),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3949, 1172, 3948])).
% 134.73/85.43 tff(3951,plain,(~v26(constB123)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.43 tff(3952,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | (~v107(constB123)) | v106(constB123))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3953,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB123) | (~v107(constB123)) | v106(constB123))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3954,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB123) | (~v107(constB123)) | v106(constB123)),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 134.73/85.43 tff(3955,plain,
% 134.73/85.43 ((~v107(constB123)) | v106(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3954, 644, 3951])).
% 134.73/85.43 tff(3956,plain,
% 134.73/85.43 (~v107(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3955, 3947])).
% 134.73/85.43 tff(3957,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB123) | (~v108(constB123)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB123) | (~v108(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3958,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB123) | (~v108(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3959,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB123) | (~v108(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 134.73/85.43 tff(3960,plain,
% 134.73/85.43 (~v108(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3959, 658, 3956])).
% 134.73/85.43 tff(3961,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB123) | (~v109(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB123) | (~v109(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3962,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB123) | (~v109(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3963,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB123) | (~v109(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3962, 3961])).
% 134.73/85.43 tff(3964,plain,
% 134.73/85.43 (~v109(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3963, 669, 3960])).
% 134.73/85.43 tff(3965,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB123) | (~v110(constB123)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB123) | (~v110(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3966,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB123) | (~v110(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3967,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB123) | (~v110(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3966, 3965])).
% 134.73/85.43 tff(3968,plain,
% 134.73/85.43 (~v110(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3967, 680, 3964])).
% 134.73/85.43 tff(3969,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB123) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB123) | (~v116(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3970,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB123) | (~v116(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3971,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB123) | (~v116(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3970, 3969])).
% 134.73/85.43 tff(3972,plain,
% 134.73/85.43 (~v116(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3971, 934, 3968])).
% 134.73/85.43 tff(3973,assumption,(~v84(constB124, bitIndex2)), introduced(assumption)).
% 134.73/85.43 tff(3974,assumption,(v84(constB123, bitIndex2)), introduced(assumption)).
% 134.73/85.43 tff(3975,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB124, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB124, bitIndex2))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3976,plain,
% 134.73/85.43 (((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB124, bitIndex2) | (~v84(constB123, bitIndex2))) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB124, bitIndex2))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3977,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB124, bitIndex2) | (~v84(constB123, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB124, bitIndex2)))),
% 134.73/85.43 inference(monotonicity,[status(thm)],[3976])).
% 134.73/85.43 tff(3978,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB124, bitIndex2) | (~v84(constB123, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB124, bitIndex2))),
% 134.73/85.43 inference(transitivity,[status(thm)],[3977, 3975])).
% 134.73/85.43 tff(3979,plain,
% 134.73/85.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB124, bitIndex2) | (~v84(constB123, bitIndex2)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3980,plain,
% 134.73/85.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB124, bitIndex2)),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 134.73/85.43 tff(3981,plain,
% 134.73/85.43 ($false),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3980, 777, 767, 3912, 3906, 3973, 3974])).
% 134.73/85.43 tff(3982,plain,(v84(constB124, bitIndex2) | v94(constB124) | (~v84(constB123, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.43 tff(3983,plain,
% 134.73/85.43 (~v84(constB123, bitIndex2)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3982, 3906, 3973])).
% 134.73/85.43 tff(3984,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB123) | (~v111(constB123)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB123) | (~v111(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3985,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB123) | (~v111(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3986,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB123) | (~v111(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3985, 3984])).
% 134.73/85.43 tff(3987,plain,
% 134.73/85.43 (~v111(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3986, 691, 3968])).
% 134.73/85.43 tff(3988,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB123) | (~v112(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3989,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB123) | (~v112(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3990,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB123) | (~v112(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3989, 3988])).
% 134.73/85.43 tff(3991,plain,
% 134.73/85.43 (~v112(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3990, 702, 3987])).
% 134.73/85.43 tff(3992,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB123) | (~v113(constB123)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB123) | (~v113(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3993,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB123) | (~v113(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(3994,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB123) | (~v113(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[3993, 3992])).
% 134.73/85.43 tff(3995,plain,
% 134.73/85.43 (~v113(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[3994, 969, 3991])).
% 134.73/85.43 tff(3996,assumption,(~v84(constB124, bitIndex1)), introduced(assumption)).
% 134.73/85.43 tff(3997,assumption,(v84(constB123, bitIndex1)), introduced(assumption)).
% 134.73/85.43 tff(3998,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB124, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB124, bitIndex1))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(3999,plain,
% 134.73/85.43 (((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB124, bitIndex1) | (~v84(constB123, bitIndex1))) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB124, bitIndex1))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4000,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB124, bitIndex1) | (~v84(constB123, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB124, bitIndex1)))),
% 134.73/85.43 inference(monotonicity,[status(thm)],[3999])).
% 134.73/85.43 tff(4001,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB124, bitIndex1) | (~v84(constB123, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB124, bitIndex1))),
% 134.73/85.43 inference(transitivity,[status(thm)],[4000, 3998])).
% 134.73/85.43 tff(4002,plain,
% 134.73/85.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB124, bitIndex1) | (~v84(constB123, bitIndex1)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4003,plain,
% 134.73/85.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB124, bitIndex1)),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4002, 4001])).
% 134.73/85.43 tff(4004,plain,
% 134.73/85.43 ($false),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4003, 777, 823, 3912, 3906, 3996, 3997])).
% 134.73/85.43 tff(4005,plain,(v84(constB124, bitIndex1) | v94(constB124) | (~v84(constB123, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.73/85.43 tff(4006,plain,
% 134.73/85.43 (~v84(constB123, bitIndex1)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4005, 3906, 3996])).
% 134.73/85.43 tff(4007,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB123) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB123) | (~v145(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4008,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB123) | (~v145(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4009,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB123) | (~v145(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 134.73/85.43 tff(4010,plain,
% 134.73/85.43 (~v145(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4009, 713, 3991])).
% 134.73/85.43 tff(4011,assumption,(~v84(constB123, bitIndex2)), introduced(assumption)).
% 134.73/85.43 tff(4012,assumption,(~v84(constB123, bitIndex1)), introduced(assumption)).
% 134.73/85.43 tff(4013,assumption,(~v145(constB123)), introduced(assumption)).
% 134.73/85.43 tff(4014,plain,
% 134.73/85.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB123) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB123) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4015,plain,
% 134.73/85.43 (((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123)) <=> (v145(constB123) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4016,plain,
% 134.73/85.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB123) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1)))),
% 134.73/85.43 inference(monotonicity,[status(thm)],[4015])).
% 134.73/85.43 tff(4017,plain,
% 134.73/85.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB123) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1))),
% 134.73/85.43 inference(transitivity,[status(thm)],[4016, 4014])).
% 134.73/85.43 tff(4018,plain,
% 134.73/85.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v145(constB123))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4019,plain,
% 134.73/85.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB123) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1)),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4018, 4017])).
% 134.73/85.43 tff(4020,plain,
% 134.73/85.43 (v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4019, 865, 4013])).
% 134.73/85.43 tff(4021,plain,
% 134.73/85.43 (~v84(constB123, bitIndex0)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4020, 4012, 4011])).
% 134.73/85.43 tff(4022,assumption,(~v113(constB123)), introduced(assumption)).
% 134.73/85.43 tff(4023,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB123) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB123) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4024,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB123) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4025,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB123) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2)),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 134.73/85.43 tff(4026,plain,
% 134.73/85.43 (v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | v84(constB123, bitIndex2)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4025, 983, 4022])).
% 134.73/85.43 tff(4027,plain,
% 134.73/85.43 ($false),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4026, 4021, 4012, 4011])).
% 134.73/85.43 tff(4028,plain,(v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | v113(constB123) | v145(constB123)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.43 tff(4029,plain,
% 134.73/85.43 (v84(constB123, bitIndex2)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4028, 4010, 4006, 3995])).
% 134.73/85.43 tff(4030,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB123) | (~v172(constB123)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB123) | (~v172(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4031,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB123) | (~v172(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4032,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB123) | (~v172(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 134.73/85.43 tff(4033,plain,
% 134.73/85.43 (~v172(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4032, 1033, 3964])).
% 134.73/85.43 tff(4034,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB123) | (~v119(constB123)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB123) | (~v119(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4035,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB123) | (~v119(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4036,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB123) | (~v119(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 134.73/85.43 tff(4037,plain,
% 134.73/85.43 (~v119(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4036, 1927, 3956])).
% 134.73/85.43 tff(4038,assumption,(~v84(constB123, bitIndex0)), introduced(assumption)).
% 134.73/85.43 tff(4039,assumption,(~v119(constB123)), introduced(assumption)).
% 134.73/85.43 tff(4040,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB123, bitIndex0) | v119(constB123) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB123, bitIndex0) | v119(constB123) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4041,plain,
% 134.73/85.43 ((v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2)) | v119(constB123)) <=> (v84(constB123, bitIndex0) | v119(constB123) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4042,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2)) | v119(constB123))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB123, bitIndex0) | v119(constB123) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2))))),
% 134.73/85.43 inference(monotonicity,[status(thm)],[4041])).
% 134.73/85.43 tff(4043,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2)) | v119(constB123))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB123, bitIndex0) | v119(constB123) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2)))),
% 134.73/85.43 inference(transitivity,[status(thm)],[4042, 4040])).
% 134.73/85.43 tff(4044,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2)) | v119(constB123))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4045,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB123, bitIndex0) | v119(constB123) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4044, 4043])).
% 134.73/85.43 tff(4046,plain,
% 134.73/85.43 (v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | (~v84(constB123, bitIndex2))),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4045, 1910, 4039])).
% 134.73/85.43 tff(4047,plain,
% 134.73/85.43 (~v84(constB123, bitIndex1)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4046, 4038, 3974])).
% 134.73/85.43 tff(4048,assumption,(~v172(constB123)), introduced(assumption)).
% 134.73/85.43 tff(4049,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4050,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4051,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v172(constB123)),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 134.73/85.43 tff(4052,plain,
% 134.73/85.43 (v84(constB123, bitIndex0) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2))),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4051, 1047, 4048])).
% 134.73/85.43 tff(4053,plain,
% 134.73/85.43 ($false),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4052, 4047, 4038, 3974])).
% 134.73/85.43 tff(4054,plain,(v84(constB123, bitIndex0) | (~v84(constB123, bitIndex2)) | v172(constB123) | v119(constB123)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.43 tff(4055,plain,
% 134.73/85.43 (v84(constB123, bitIndex0)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4054, 4029, 4037, 4033])).
% 134.73/85.43 tff(4056,plain,
% 134.73/85.43 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB123) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB123) | (~v118(constB123)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4057,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB123) | (~v118(constB123)))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4058,plain,
% 134.73/85.43 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB123) | (~v118(constB123))),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 134.73/85.43 tff(4059,plain,
% 134.73/85.43 (~v118(constB123)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4058, 1004, 3960])).
% 134.73/85.43 tff(4060,plain,
% 134.73/85.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v118(constB123))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v118(constB123))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4061,plain,
% 134.73/85.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v118(constB123))),
% 134.73/85.43 inference(quant_inst,[status(thm)],[])).
% 134.73/85.43 tff(4062,plain,
% 134.73/85.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB123, bitIndex0)) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex2)) | v118(constB123)),
% 134.73/85.43 inference(modus_ponens,[status(thm)],[4061, 4060])).
% 134.73/85.43 tff(4063,plain,
% 134.73/85.43 ((~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex2))),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4062, 1018, 4006, 4059])).
% 134.73/85.43 tff(4064,plain,
% 134.73/85.43 ($false),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4063, 4055, 4029])).
% 134.73/85.43 tff(4065,plain,(v94(constB124) | v84(constB124, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.73/85.43 tff(4066,plain,
% 134.73/85.43 (v84(constB124, bitIndex1)),
% 134.73/85.43 inference(unit_resolution,[status(thm)],[4065, 3906])).
% 134.73/85.43 tff(4067,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB124, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB124, bitIndex1)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4068,plain,
% 134.73/85.43 (((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB124, bitIndex1)) | v84(constB123, bitIndex1)) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB124, bitIndex1)))),
% 134.73/85.43 inference(rewrite,[status(thm)],[])).
% 134.73/85.43 tff(4069,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB124, bitIndex1)) | v84(constB123, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB124, bitIndex1))))),
% 134.73/85.43 inference(monotonicity,[status(thm)],[4068])).
% 134.73/85.43 tff(4070,plain,
% 134.73/85.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB124, bitIndex1)) | v84(constB123, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB124, bitIndex1)))),
% 134.80/85.44 inference(transitivity,[status(thm)],[4069, 4067])).
% 134.80/85.44 tff(4071,plain,
% 134.80/85.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | (~v84(constB124, bitIndex1)) | v84(constB123, bitIndex1))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4072,plain,
% 134.80/85.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB124, bitIndex1))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4071, 4070])).
% 134.80/85.44 tff(4073,plain,
% 134.80/85.44 (v84(constB123, bitIndex1)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4072, 805, 823, 3912, 3906, 4066])).
% 134.80/85.44 tff(4074,assumption,(~v116(constB123)), introduced(assumption)).
% 134.80/85.44 tff(4075,plain,
% 134.80/85.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v116(constB123))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v116(constB123))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4076,plain,
% 134.80/85.44 (((~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v84(constB123, bitIndex2) | v116(constB123)) <=> (v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v116(constB123))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4077,plain,
% 134.80/85.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v84(constB123, bitIndex2) | v116(constB123))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v116(constB123)))),
% 134.80/85.44 inference(monotonicity,[status(thm)],[4076])).
% 134.80/85.44 tff(4078,plain,
% 134.80/85.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v84(constB123, bitIndex2) | v116(constB123))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v116(constB123))),
% 134.80/85.44 inference(transitivity,[status(thm)],[4077, 4075])).
% 134.80/85.44 tff(4079,plain,
% 134.80/85.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v84(constB123, bitIndex2) | v116(constB123))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4080,plain,
% 134.80/85.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1)) | v116(constB123)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 134.80/85.44 tff(4081,plain,
% 134.80/85.44 (v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)) | (~v84(constB123, bitIndex1))),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4080, 1076, 4074])).
% 134.80/85.44 tff(4082,plain,
% 134.80/85.44 (~v84(constB123, bitIndex0)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4081, 4073, 3983])).
% 134.80/85.44 tff(4083,assumption,(v84(constB122, bitIndex2)), introduced(assumption)).
% 134.80/85.44 tff(4084,plain,
% 134.80/85.44 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4085,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_122_1')).
% 134.80/85.44 tff(4086,plain,
% 134.80/85.44 (nextState(constB122, constB123)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4085, 4084])).
% 134.80/85.44 tff(4087,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4088,plain,
% 134.80/85.44 (((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123)) <=> (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4089,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))))),
% 134.80/85.44 inference(monotonicity,[status(thm)],[4088])).
% 134.80/85.44 tff(4090,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123)))),
% 134.80/85.44 inference(transitivity,[status(thm)],[4089, 4087])).
% 134.80/85.44 tff(4091,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB122, constB123)) | (~v95(constB123)) | v1(constB123))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4092,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB123) | (~nextState(constB122, constB123)) | (~v95(constB123))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 134.80/85.44 tff(4093,plain,
% 134.80/85.44 (~v95(constB123)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4092, 742, 4086, 3909])).
% 134.80/85.44 tff(4094,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4095,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4096,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB122, constB123)) | v95(constB123) | (~v94(constB123))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 134.80/85.44 tff(4097,plain,
% 134.80/85.44 (v95(constB123) | (~v94(constB123))),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4096, 759, 4086])).
% 134.80/85.44 tff(4098,plain,
% 134.80/85.44 (~v94(constB123)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4097, 4093])).
% 134.80/85.44 tff(4099,plain,
% 134.80/85.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB122, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB122, bitIndex2)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4100,plain,
% 134.80/85.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB122, bitIndex2)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4101,plain,
% 134.80/85.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB122, bitIndex2))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4100, 4099])).
% 134.80/85.44 tff(4102,plain,
% 134.80/85.44 ($false),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4101, 777, 767, 4086, 4098, 4083, 4011])).
% 134.80/85.44 tff(4103,plain,(v84(constB123, bitIndex2) | (~v84(constB122, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.80/85.44 tff(4104,plain,
% 134.80/85.44 (~v84(constB122, bitIndex2)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4103, 4011])).
% 134.80/85.44 tff(4105,assumption,(~v94(constB122)), introduced(assumption)).
% 134.80/85.44 tff(4106,assumption,(~v84(constB122, bitIndex1)), introduced(assumption)).
% 134.80/85.44 tff(4107,assumption,(~v84(constB121, bitIndex2)), introduced(assumption)).
% 134.80/85.44 tff(4108,plain,
% 134.80/85.44 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4109,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_121_1')).
% 134.80/85.44 tff(4110,plain,
% 134.80/85.44 (nextState(constB121, constB122)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4109, 4108])).
% 134.80/85.44 tff(4111,plain,
% 134.80/85.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB121, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB121, bitIndex1)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4112,plain,
% 134.80/85.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB121, bitIndex1)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4113,plain,
% 134.80/85.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB121, bitIndex1))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4112, 4111])).
% 134.80/85.44 tff(4114,plain,
% 134.80/85.44 (~v84(constB121, bitIndex1)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4113, 777, 823, 4110, 4105, 4106])).
% 134.80/85.44 tff(4115,plain,
% 134.80/85.44 ((~v1(constB121)) <=> (~v1(constB121))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4116,axiom,(~v1(constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_121_1_1')).
% 134.80/85.44 tff(4117,plain,
% 134.80/85.44 (~v1(constB121)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 134.80/85.44 tff(4118,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4119,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4120,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB121) | (~nextState(constB121, constB122)) | (~v98(constB122))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 134.80/85.44 tff(4121,plain,
% 134.80/85.44 (~v98(constB122)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4120, 541, 4110, 4117])).
% 134.80/85.44 tff(4122,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4123,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB121, constB122)) | v96(constB122) | v98(constB122))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4124,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB121, constB122)) | v96(constB122) | v98(constB122)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 134.80/85.44 tff(4125,plain,
% 134.80/85.44 (v96(constB122) | v98(constB122)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4124, 555, 4110])).
% 134.80/85.44 tff(4126,plain,
% 134.80/85.44 (v96(constB122)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4125, 4121])).
% 134.80/85.44 tff(4127,plain,
% 134.80/85.44 (v1(constB122) <=> v1(constB122)),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4128,axiom,(v1(constB122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_122_1')).
% 134.80/85.44 tff(4129,plain,
% 134.80/85.44 (v1(constB122)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 134.80/85.44 tff(4130,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4131,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4132,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB121, constB122)) | v95(constB122) | (~v96(constB122)) | (~v1(constB122))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 134.80/85.44 tff(4133,plain,
% 134.80/85.44 (v95(constB122) | (~v96(constB122))),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4132, 573, 4110, 4129])).
% 134.80/85.44 tff(4134,plain,
% 134.80/85.44 (v95(constB122)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4133, 4126])).
% 134.80/85.44 tff(4135,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4136,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4137,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB121, constB122)) | (~v95(constB122)) | (~v104(constB122)) | v94(constB122)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 134.80/85.44 tff(4138,plain,
% 134.80/85.44 ((~v95(constB122)) | (~v104(constB122)) | v94(constB122)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4137, 588, 4110])).
% 134.80/85.44 tff(4139,plain,
% 134.80/85.44 ((~v104(constB122)) | v94(constB122)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4138, 4134])).
% 134.80/85.44 tff(4140,plain,
% 134.80/85.44 (~v104(constB122)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4139, 4105])).
% 134.80/85.44 tff(4141,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4142,plain,
% 134.80/85.44 (((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122)) <=> ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4143,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))))),
% 134.80/85.44 inference(monotonicity,[status(thm)],[4142])).
% 134.80/85.44 tff(4144,plain,
% 134.80/85.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121)))),
% 134.80/85.44 inference(transitivity,[status(thm)],[4143, 4141])).
% 134.80/85.44 tff(4145,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB121, constB122)) | (~v102(constB121)) | v104(constB122))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4146,plain,
% 134.80/85.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v102(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4145, 4144])).
% 134.80/85.44 tff(4147,plain,
% 134.80/85.44 (v104(constB122) | (~v102(constB121))),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4146, 604, 4110])).
% 134.80/85.44 tff(4148,plain,
% 134.80/85.44 (~v102(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4147, 4140])).
% 134.80/85.44 tff(4149,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB121) | (~v106(constB121)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB121) | (~v106(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4150,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB121) | (~v106(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4151,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB121) | (~v106(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 134.80/85.44 tff(4152,plain,
% 134.80/85.44 (~v106(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4151, 619, 4148])).
% 134.80/85.44 tff(4153,assumption,(v26(constB121)), introduced(assumption)).
% 134.80/85.44 tff(4154,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4155,plain,
% 134.80/85.44 ($false),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4154, 1172, 4153])).
% 134.80/85.44 tff(4156,plain,(~v26(constB121)), inference(lemma,lemma(discharge,[]))).
% 134.80/85.44 tff(4157,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4158,plain,
% 134.80/85.44 ((v26(constB121) | (~v107(constB121)) | v106(constB121)) <=> (v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4159,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | v106(constB121) | (~v107(constB121))))),
% 134.80/85.44 inference(monotonicity,[status(thm)],[4158])).
% 134.80/85.44 tff(4160,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121)))),
% 134.80/85.44 inference(transitivity,[status(thm)],[4159, 4157])).
% 134.80/85.44 tff(4161,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB121) | (~v107(constB121)) | v106(constB121))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4162,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB121) | v106(constB121) | (~v107(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 134.80/85.44 tff(4163,plain,
% 134.80/85.44 (v106(constB121) | (~v107(constB121))),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4162, 644, 4156])).
% 134.80/85.44 tff(4164,plain,
% 134.80/85.44 (~v107(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4163, 4152])).
% 134.80/85.44 tff(4165,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB121) | (~v108(constB121)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB121) | (~v108(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4166,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB121) | (~v108(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4167,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB121) | (~v108(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4166, 4165])).
% 134.80/85.44 tff(4168,plain,
% 134.80/85.44 (~v108(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4167, 658, 4164])).
% 134.80/85.44 tff(4169,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB121) | (~v109(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB121) | (~v109(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4170,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB121) | (~v109(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4171,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB121) | (~v109(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4170, 4169])).
% 134.80/85.44 tff(4172,plain,
% 134.80/85.44 (~v109(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4171, 669, 4168])).
% 134.80/85.44 tff(4173,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB121) | (~v110(constB121)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB121) | (~v110(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4174,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB121) | (~v110(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4175,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB121) | (~v110(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4174, 4173])).
% 134.80/85.44 tff(4176,plain,
% 134.80/85.44 (~v110(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4175, 680, 4172])).
% 134.80/85.44 tff(4177,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB121) | (~v111(constB121)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB121) | (~v111(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4178,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB121) | (~v111(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4179,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB121) | (~v111(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 134.80/85.44 tff(4180,plain,
% 134.80/85.44 (~v111(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4179, 691, 4176])).
% 134.80/85.44 tff(4181,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB121) | (~v112(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4182,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB121) | (~v112(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4183,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB121) | (~v112(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4182, 4181])).
% 134.80/85.44 tff(4184,plain,
% 134.80/85.44 (~v112(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4183, 702, 4180])).
% 134.80/85.44 tff(4185,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB121) | (~v145(constB121)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB121) | (~v145(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4186,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB121) | (~v145(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4187,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB121) | (~v145(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4186, 4185])).
% 134.80/85.44 tff(4188,plain,
% 134.80/85.44 (~v145(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4187, 713, 4184])).
% 134.80/85.44 tff(4189,plain,
% 134.80/85.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB121) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB121) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4190,plain,
% 134.80/85.44 (((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2) | v145(constB121)) <=> (v145(constB121) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4191,plain,
% 134.80/85.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2) | v145(constB121))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB121) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)))),
% 134.80/85.44 inference(monotonicity,[status(thm)],[4190])).
% 134.80/85.44 tff(4192,plain,
% 134.80/85.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2) | v145(constB121))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB121) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))),
% 134.80/85.44 inference(transitivity,[status(thm)],[4191, 4189])).
% 134.80/85.44 tff(4193,plain,
% 134.80/85.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2) | v145(constB121))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4194,plain,
% 134.80/85.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB121) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 134.80/85.44 tff(4195,plain,
% 134.80/85.44 ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4194, 865, 4188])).
% 134.80/85.44 tff(4196,plain,
% 134.80/85.44 (~v84(constB121, bitIndex0)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4195, 4114, 4107])).
% 134.80/85.44 tff(4197,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB121) | (~v113(constB121)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB121) | (~v113(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4198,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB121) | (~v113(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4199,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB121) | (~v113(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 134.80/85.44 tff(4200,plain,
% 134.80/85.44 (~v113(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4199, 969, 4184])).
% 134.80/85.44 tff(4201,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB121) | v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB121) | v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4202,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB121) | v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4203,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB121) | v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 134.80/85.44 tff(4204,plain,
% 134.80/85.44 (v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4203, 983, 4200])).
% 134.80/85.44 tff(4205,plain,
% 134.80/85.44 ($false),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4204, 4196, 4114, 4107])).
% 134.80/85.44 tff(4206,plain,(v84(constB121, bitIndex2) | v94(constB122) | v84(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.80/85.44 tff(4207,plain,
% 134.80/85.44 (v84(constB121, bitIndex2)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4206, 4106, 4105])).
% 134.80/85.44 tff(4208,plain,
% 134.80/85.44 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB121) | (~v118(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB121) | (~v118(constB121)))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4209,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB121) | (~v118(constB121)))),
% 134.80/85.44 inference(quant_inst,[status(thm)],[])).
% 134.80/85.44 tff(4210,plain,
% 134.80/85.44 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB121) | (~v118(constB121))),
% 134.80/85.44 inference(modus_ponens,[status(thm)],[4209, 4208])).
% 134.80/85.44 tff(4211,plain,
% 134.80/85.44 (~v118(constB121)),
% 134.80/85.44 inference(unit_resolution,[status(thm)],[4210, 1004, 4168])).
% 134.80/85.44 tff(4212,plain,
% 134.80/85.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)) | v118(constB121))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)) | v118(constB121))),
% 134.80/85.44 inference(rewrite,[status(thm)],[])).
% 134.80/85.44 tff(4213,plain,
% 134.80/85.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)) | v118(constB121))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4214,plain,
% 134.80/85.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)) | v118(constB121)),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4213, 4212])).
% 134.80/85.45 tff(4215,plain,
% 134.80/85.45 ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2))),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4214, 1018, 4211])).
% 134.80/85.45 tff(4216,plain,
% 134.80/85.45 (~v84(constB121, bitIndex0)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4215, 4114, 4207])).
% 134.80/85.45 tff(4217,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB121) | (~v172(constB121)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB121) | (~v172(constB121)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4218,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB121) | (~v172(constB121)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4219,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB121) | (~v172(constB121))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4218, 4217])).
% 134.80/85.45 tff(4220,plain,
% 134.80/85.45 (~v172(constB121)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4219, 1033, 4172])).
% 134.80/85.45 tff(4221,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB121, bitIndex1) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex2)) | v172(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex2)) | v172(constB121))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4222,plain,
% 134.80/85.45 ((v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)) | v172(constB121)) <=> (v84(constB121, bitIndex1) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex2)) | v172(constB121))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4223,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)) | v172(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB121, bitIndex1) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex2)) | v172(constB121)))),
% 134.80/85.45 inference(monotonicity,[status(thm)],[4222])).
% 134.80/85.45 tff(4224,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)) | v172(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex2)) | v172(constB121))),
% 134.80/85.45 inference(transitivity,[status(thm)],[4223, 4221])).
% 134.80/85.45 tff(4225,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)) | v172(constB121))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4226,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex2)) | v172(constB121)),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 134.80/85.45 tff(4227,plain,
% 134.80/85.45 (v84(constB121, bitIndex1) | v84(constB121, bitIndex0) | (~v84(constB121, bitIndex2))),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4226, 1047, 4220])).
% 134.80/85.45 tff(4228,plain,
% 134.80/85.45 ($false),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4227, 4216, 4114, 4207])).
% 134.80/85.45 tff(4229,plain,(v84(constB122, bitIndex1) | v94(constB122)), inference(lemma,lemma(discharge,[]))).
% 134.80/85.45 tff(4230,plain,
% 134.80/85.45 (v84(constB122, bitIndex1)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4229, 4105])).
% 134.80/85.45 tff(4231,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex1)) | (~v84(constB122, bitIndex1)) | v84(constB121, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex1)) | (~v84(constB122, bitIndex1)) | v84(constB121, bitIndex1))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4232,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex1)) | (~v84(constB122, bitIndex1)) | v84(constB121, bitIndex1))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4233,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex1)) | (~v84(constB122, bitIndex1)) | v84(constB121, bitIndex1)),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4232, 4231])).
% 134.80/85.45 tff(4234,plain,
% 134.80/85.45 (v84(constB121, bitIndex1)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4233, 805, 823, 4110, 4105, 4230])).
% 134.80/85.45 tff(4235,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB121) | (~v119(constB121)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB121) | (~v119(constB121)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4236,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB121) | (~v119(constB121)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4237,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB121) | (~v119(constB121))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4236, 4235])).
% 134.80/85.45 tff(4238,plain,
% 134.80/85.45 (~v119(constB121)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4237, 1927, 4164])).
% 134.80/85.45 tff(4239,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB121) | (~v115(constB121)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB121) | (~v115(constB121)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4240,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB121) | (~v115(constB121)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4241,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB121) | (~v115(constB121))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4240, 4239])).
% 134.80/85.45 tff(4242,plain,
% 134.80/85.45 (~v115(constB121)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4241, 945, 4180])).
% 134.80/85.45 tff(4243,assumption,(v84(constB121, bitIndex1)), introduced(assumption)).
% 134.80/85.45 tff(4244,assumption,(~v84(constB121, bitIndex0)), introduced(assumption)).
% 134.80/85.45 tff(4245,assumption,(~v119(constB121)), introduced(assumption)).
% 134.80/85.45 tff(4246,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | v119(constB121) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB121, bitIndex0) | v119(constB121) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4247,plain,
% 134.80/85.45 ((v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121)) <=> (v84(constB121, bitIndex0) | v119(constB121) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4248,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | v119(constB121) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2))))),
% 134.80/85.45 inference(monotonicity,[status(thm)],[4247])).
% 134.80/85.45 tff(4249,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB121, bitIndex0) | v119(constB121) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)))),
% 134.80/85.45 inference(transitivity,[status(thm)],[4248, 4246])).
% 134.80/85.45 tff(4250,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)) | v119(constB121))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4251,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB121, bitIndex0) | v119(constB121) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 134.80/85.45 tff(4252,plain,
% 134.80/85.45 (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2))),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4251, 1910, 4245])).
% 134.80/85.45 tff(4253,plain,
% 134.80/85.45 (~v84(constB121, bitIndex2)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4252, 4244, 4243])).
% 134.80/85.45 tff(4254,assumption,(~v115(constB121)), introduced(assumption)).
% 134.80/85.45 tff(4255,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v115(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v115(constB121))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4256,plain,
% 134.80/85.45 ((v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v115(constB121)) <=> (v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v115(constB121))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4257,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v115(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v115(constB121)))),
% 134.80/85.45 inference(monotonicity,[status(thm)],[4256])).
% 134.80/85.45 tff(4258,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v115(constB121))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v115(constB121))),
% 134.80/85.45 inference(transitivity,[status(thm)],[4257, 4255])).
% 134.80/85.45 tff(4259,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v115(constB121))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4260,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v115(constB121)),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4259, 4258])).
% 134.80/85.45 tff(4261,plain,
% 134.80/85.45 (v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1))),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4260, 1095, 4254])).
% 134.80/85.45 tff(4262,plain,
% 134.80/85.45 ($false),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4261, 4253, 4244, 4243])).
% 134.80/85.45 tff(4263,plain,(v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | v115(constB121) | v119(constB121)), inference(lemma,lemma(discharge,[]))).
% 134.80/85.45 tff(4264,plain,
% 134.80/85.45 (v84(constB121, bitIndex0)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4263, 4234, 4242, 4238])).
% 134.80/85.45 tff(4265,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB121) | (~v116(constB121)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB121) | (~v116(constB121)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4266,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB121) | (~v116(constB121)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4267,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB121) | (~v116(constB121))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4266, 4265])).
% 134.80/85.45 tff(4268,plain,
% 134.80/85.45 (~v116(constB121)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4267, 934, 4176])).
% 134.80/85.45 tff(4269,plain,
% 134.80/85.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v116(constB121))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v116(constB121))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4270,plain,
% 134.80/85.45 (((~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121)) <=> ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v116(constB121))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4271,plain,
% 134.80/85.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v116(constB121)))),
% 134.80/85.45 inference(monotonicity,[status(thm)],[4270])).
% 134.80/85.45 tff(4272,plain,
% 134.80/85.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v116(constB121))),
% 134.80/85.45 inference(transitivity,[status(thm)],[4271, 4269])).
% 134.80/85.45 tff(4273,plain,
% 134.80/85.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex2) | v116(constB121))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4274,plain,
% 134.80/85.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB121, bitIndex0)) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v116(constB121)),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4273, 4272])).
% 134.80/85.45 tff(4275,plain,
% 134.80/85.45 ((~v84(constB121, bitIndex0)) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1))),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4274, 1076, 4268])).
% 134.80/85.45 tff(4276,plain,
% 134.80/85.45 (v84(constB121, bitIndex2)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4275, 4264, 4234])).
% 134.80/85.45 tff(4277,assumption,(~v84(constB122, bitIndex2)), introduced(assumption)).
% 134.80/85.45 tff(4278,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB121, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB121, bitIndex2)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4279,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB121, bitIndex2)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4280,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB121, bitIndex2))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 134.80/85.45 tff(4281,plain,
% 134.80/85.45 ($false),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4280, 777, 767, 4110, 4105, 4277, 4276])).
% 134.80/85.45 tff(4282,plain,(v84(constB122, bitIndex2) | v94(constB122)), inference(lemma,lemma(discharge,[]))).
% 134.80/85.45 tff(4283,plain,
% 134.80/85.45 (v94(constB122)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4282, 4104])).
% 134.80/85.45 tff(4284,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB122)) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4285,plain,
% 134.80/85.45 (((~less_3(bitIndex2)) | (~v94(constB122)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2))) <=> ((~v94(constB122)) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4286,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB122)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB122)) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2))))),
% 134.80/85.45 inference(monotonicity,[status(thm)],[4285])).
% 134.80/85.45 tff(4287,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB122)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 134.80/85.45 inference(transitivity,[status(thm)],[4286, 4284])).
% 134.80/85.45 tff(4288,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB122)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4289,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v123(constB122, bitIndex2))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4288, 4287])).
% 134.80/85.45 tff(4290,plain,
% 134.80/85.45 (~v123(constB122, bitIndex2)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4289, 1674, 767, 4283, 4104])).
% 134.80/85.45 tff(4291,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v123(constB122, bitIndex2) | (~v121(constB121, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v123(constB122, bitIndex2) | (~v121(constB121, bitIndex2)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4292,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v123(constB122, bitIndex2) | (~v121(constB121, bitIndex2)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4293,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v123(constB122, bitIndex2) | (~v121(constB121, bitIndex2))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4292, 4291])).
% 134.80/85.45 tff(4294,plain,
% 134.80/85.45 (~v121(constB121, bitIndex2)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4293, 1708, 767, 4110, 4290])).
% 134.80/85.45 tff(4295,plain,
% 134.80/85.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v124(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v124(constB121, bitIndex2)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4296,plain,
% 134.80/85.45 ((v26(constB121) | v121(constB121, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2))) <=> (v26(constB121) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v124(constB121, bitIndex2)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4297,plain,
% 134.80/85.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v124(constB121, bitIndex2))))),
% 134.80/85.45 inference(monotonicity,[status(thm)],[4296])).
% 134.80/85.45 tff(4298,plain,
% 134.80/85.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v124(constB121, bitIndex2)))),
% 134.80/85.45 inference(transitivity,[status(thm)],[4297, 4295])).
% 134.80/85.45 tff(4299,plain,
% 134.80/85.45 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4300,plain,
% 134.80/85.45 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v124(constB121, bitIndex2))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 134.80/85.45 tff(4301,plain,
% 134.80/85.45 (~v124(constB121, bitIndex2)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4300, 1728, 767, 4156, 4294])).
% 134.80/85.45 tff(4302,plain,
% 134.80/85.45 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB121)) | v124(constB121, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB121)) | v124(constB121, bitIndex2))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4303,plain,
% 134.80/85.45 (((~v116(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB121)) | v124(constB121, bitIndex2))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4304,plain,
% 134.80/85.45 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB121)) | v124(constB121, bitIndex2)))),
% 134.80/85.45 inference(monotonicity,[status(thm)],[4303])).
% 134.80/85.45 tff(4305,plain,
% 134.80/85.45 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB121)) | v124(constB121, bitIndex2))),
% 134.80/85.45 inference(transitivity,[status(thm)],[4304, 4302])).
% 134.80/85.45 tff(4306,plain,
% 134.80/85.45 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b100(bitIndex2)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4307,plain,
% 134.80/85.45 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB121)) | v124(constB121, bitIndex2)),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 134.80/85.45 tff(4308,plain,
% 134.80/85.45 (~v116(constB121)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4307, 1772, 1769, 767, 4301])).
% 134.80/85.45 tff(4309,assumption,(~v115(constB123)), introduced(assumption)).
% 134.80/85.45 tff(4310,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB123, bitIndex2) | v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v115(constB123))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB123, bitIndex2) | v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v115(constB123))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4311,plain,
% 134.80/85.45 ((v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v84(constB123, bitIndex2) | v115(constB123)) <=> (v84(constB123, bitIndex2) | v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v115(constB123))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4312,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v84(constB123, bitIndex2) | v115(constB123))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB123, bitIndex2) | v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v115(constB123)))),
% 134.80/85.45 inference(monotonicity,[status(thm)],[4311])).
% 134.80/85.45 tff(4313,plain,
% 134.80/85.45 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v84(constB123, bitIndex2) | v115(constB123))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB123, bitIndex2) | v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v115(constB123))),
% 134.80/85.45 inference(transitivity,[status(thm)],[4312, 4310])).
% 134.80/85.45 tff(4314,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v84(constB123, bitIndex2) | v115(constB123))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4315,plain,
% 134.80/85.45 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB123, bitIndex2) | v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1)) | v115(constB123)),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 134.80/85.45 tff(4316,plain,
% 134.80/85.45 (v84(constB123, bitIndex2) | v84(constB123, bitIndex0) | (~v84(constB123, bitIndex1))),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4315, 1095, 4309])).
% 134.80/85.45 tff(4317,plain,
% 134.80/85.45 (~v84(constB123, bitIndex1)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4316, 4011, 4038])).
% 134.80/85.45 tff(4318,assumption,(v84(constB122, bitIndex1)), introduced(assumption)).
% 134.80/85.45 tff(4319,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB122, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB122, bitIndex1)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4320,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB122, bitIndex1)))),
% 134.80/85.45 inference(quant_inst,[status(thm)],[])).
% 134.80/85.45 tff(4321,plain,
% 134.80/85.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB123, bitIndex1) | (~v84(constB122, bitIndex1))),
% 134.80/85.45 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 134.80/85.45 tff(4322,plain,
% 134.80/85.45 ($false),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4321, 777, 823, 4086, 4098, 4318, 4012])).
% 134.80/85.45 tff(4323,plain,(v84(constB123, bitIndex1) | (~v84(constB122, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.80/85.45 tff(4324,plain,
% 134.80/85.45 (~v84(constB122, bitIndex1)),
% 134.80/85.45 inference(unit_resolution,[status(thm)],[4323, 4317])).
% 134.80/85.45 tff(4325,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB122)) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4326,plain,
% 134.80/85.45 (((~less_3(bitIndex1)) | (~v94(constB122)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1))) <=> ((~v94(constB122)) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 134.80/85.45 inference(rewrite,[status(thm)],[])).
% 134.80/85.45 tff(4327,plain,
% 134.80/85.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB122)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB122)) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1))))),
% 134.80/85.46 inference(monotonicity,[status(thm)],[4326])).
% 134.80/85.46 tff(4328,plain,
% 134.80/85.46 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB122)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 134.80/85.46 inference(transitivity,[status(thm)],[4327, 4325])).
% 134.80/85.46 tff(4329,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB122)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1)))),
% 134.80/85.46 inference(quant_inst,[status(thm)],[])).
% 134.80/85.46 tff(4330,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v123(constB122, bitIndex1))),
% 134.80/85.46 inference(modus_ponens,[status(thm)],[4329, 4328])).
% 134.80/85.46 tff(4331,plain,
% 134.80/85.46 (~v123(constB122, bitIndex1)),
% 134.80/85.46 inference(unit_resolution,[status(thm)],[4330, 1674, 823, 4283, 4324])).
% 134.80/85.46 tff(4332,plain,
% 134.80/85.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex1)) | v123(constB122, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex1)) | v123(constB122, bitIndex1) | (~v121(constB121, bitIndex1)))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4333,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex1)) | v123(constB122, bitIndex1) | (~v121(constB121, bitIndex1)))),
% 134.80/85.46 inference(quant_inst,[status(thm)],[])).
% 134.80/85.46 tff(4334,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex1)) | v123(constB122, bitIndex1) | (~v121(constB121, bitIndex1))),
% 134.80/85.46 inference(modus_ponens,[status(thm)],[4333, 4332])).
% 134.80/85.46 tff(4335,plain,
% 134.80/85.46 (~v121(constB121, bitIndex1)),
% 134.80/85.46 inference(unit_resolution,[status(thm)],[4334, 1708, 823, 4110, 4331])).
% 134.80/85.46 tff(4336,plain,
% 134.80/85.46 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | v121(constB121, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | v121(constB121, bitIndex1))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4337,plain,
% 134.80/85.46 ((v26(constB121) | v121(constB121, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1))) <=> (v26(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | v121(constB121, bitIndex1))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4338,plain,
% 134.80/85.46 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | v121(constB121, bitIndex1)))),
% 134.80/85.46 inference(monotonicity,[status(thm)],[4337])).
% 134.80/85.46 tff(4339,plain,
% 134.80/85.46 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | v121(constB121, bitIndex1))),
% 134.80/85.46 inference(transitivity,[status(thm)],[4338, 4336])).
% 134.80/85.46 tff(4340,plain,
% 134.80/85.46 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)))),
% 134.80/85.46 inference(quant_inst,[status(thm)],[])).
% 134.80/85.46 tff(4341,plain,
% 134.80/85.46 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | v121(constB121, bitIndex1)),
% 134.80/85.46 inference(modus_ponens,[status(thm)],[4340, 4339])).
% 134.80/85.46 tff(4342,plain,
% 134.80/85.46 (~v124(constB121, bitIndex1)),
% 134.80/85.46 inference(unit_resolution,[status(thm)],[4341, 1728, 823, 4156, 4335])).
% 134.80/85.46 tff(4343,plain,
% 134.80/85.46 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB121)) | v124(constB121, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB121)) | v124(constB121, bitIndex1))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4344,plain,
% 134.80/85.46 (((~v172(constB121)) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB121)) | v124(constB121, bitIndex1))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4345,plain,
% 134.80/85.46 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB121)) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB121)) | v124(constB121, bitIndex1)))),
% 134.80/85.46 inference(monotonicity,[status(thm)],[4344])).
% 134.80/85.46 tff(4346,plain,
% 134.80/85.46 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB121)) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB121)) | v124(constB121, bitIndex1))),
% 134.80/85.46 inference(transitivity,[status(thm)],[4345, 4343])).
% 134.80/85.46 tff(4347,plain,
% 134.80/85.46 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB121)) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~b110(bitIndex1)))),
% 134.80/85.46 inference(quant_inst,[status(thm)],[])).
% 134.80/85.46 tff(4348,plain,
% 134.80/85.46 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB121)) | v124(constB121, bitIndex1)),
% 134.80/85.46 inference(modus_ponens,[status(thm)],[4347, 4346])).
% 134.80/85.46 tff(4349,plain,
% 134.80/85.46 (~v172(constB121)),
% 134.80/85.46 inference(unit_resolution,[status(thm)],[4348, 1801, 1798, 823, 4342])).
% 134.80/85.46 tff(4350,assumption,(v84(constB122, bitIndex0)), introduced(assumption)).
% 134.80/85.46 tff(4351,plain,
% 134.80/85.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB122, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB122, bitIndex0)))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4352,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB122, bitIndex0)))),
% 134.80/85.46 inference(quant_inst,[status(thm)],[])).
% 134.80/85.46 tff(4353,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB122, bitIndex0))),
% 134.80/85.46 inference(modus_ponens,[status(thm)],[4352, 4351])).
% 134.80/85.46 tff(4354,plain,
% 134.80/85.46 ($false),
% 134.80/85.46 inference(unit_resolution,[status(thm)],[4353, 777, 795, 4086, 4098, 4350, 4038])).
% 134.80/85.46 tff(4355,plain,(v84(constB123, bitIndex0) | (~v84(constB122, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.80/85.46 tff(4356,plain,
% 134.80/85.46 (~v84(constB122, bitIndex0)),
% 134.80/85.46 inference(unit_resolution,[status(thm)],[4355, 4038])).
% 134.80/85.46 tff(4357,plain,
% 134.80/85.46 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB122)) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4358,plain,
% 134.80/85.46 (((~less_3(bitIndex0)) | (~v94(constB122)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0))) <=> ((~v94(constB122)) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4359,plain,
% 134.80/85.46 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB122)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB122)) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0))))),
% 134.80/85.46 inference(monotonicity,[status(thm)],[4358])).
% 134.80/85.46 tff(4360,plain,
% 134.80/85.46 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB122)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)))),
% 134.80/85.46 inference(transitivity,[status(thm)],[4359, 4357])).
% 134.80/85.46 tff(4361,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB122)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0)))),
% 134.80/85.46 inference(quant_inst,[status(thm)],[])).
% 134.80/85.46 tff(4362,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB122)) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0))),
% 134.80/85.46 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 134.80/85.46 tff(4363,plain,
% 134.80/85.46 ((~v94(constB122)) | (~v123(constB122, bitIndex0))),
% 134.80/85.46 inference(unit_resolution,[status(thm)],[4362, 1674, 795, 4356])).
% 134.80/85.46 tff(4364,plain,
% 134.80/85.46 (~v123(constB122, bitIndex0)),
% 134.80/85.46 inference(unit_resolution,[status(thm)],[4363, 4283])).
% 134.80/85.46 tff(4365,plain,
% 134.80/85.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex0)) | v123(constB122, bitIndex0) | (~v121(constB121, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex0)) | v123(constB122, bitIndex0) | (~v121(constB121, bitIndex0)))),
% 134.80/85.46 inference(rewrite,[status(thm)],[])).
% 134.80/85.46 tff(4366,plain,
% 134.80/85.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex0)) | v123(constB122, bitIndex0) | (~v121(constB121, bitIndex0)))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4367,plain,
% 134.82/85.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex0)) | v123(constB122, bitIndex0) | (~v121(constB121, bitIndex0))),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4366, 4365])).
% 134.82/85.46 tff(4368,plain,
% 134.82/85.46 (~v121(constB121, bitIndex0)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4367, 1708, 795, 4110, 4364])).
% 134.82/85.46 tff(4369,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4370,plain,
% 134.82/85.46 ((v26(constB121) | v121(constB121, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0))) <=> (v26(constB121) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4371,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0)))),
% 134.82/85.46 inference(monotonicity,[status(thm)],[4370])).
% 134.82/85.46 tff(4372,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0))),
% 134.82/85.46 inference(transitivity,[status(thm)],[4371, 4369])).
% 134.82/85.46 tff(4373,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB121) | v121(constB121, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4374,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | v121(constB121, bitIndex0)),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4373, 4372])).
% 134.82/85.46 tff(4375,plain,
% 134.82/85.46 (~v124(constB121, bitIndex0)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4374, 1728, 795, 4156, 4368])).
% 134.82/85.46 tff(4376,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB121)) | v124(constB121, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB121)) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4377,plain,
% 134.82/85.46 (((~v118(constB121)) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB121)) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4378,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB121)) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB121)) | v124(constB121, bitIndex0)))),
% 134.82/85.46 inference(monotonicity,[status(thm)],[4377])).
% 134.82/85.46 tff(4379,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB121)) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB121)) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(transitivity,[status(thm)],[4378, 4376])).
% 134.82/85.46 tff(4380,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB121)) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b011(bitIndex0)))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4381,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB121)) | v124(constB121, bitIndex0)),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4380, 4379])).
% 134.82/85.46 tff(4382,plain,
% 134.82/85.46 (~v118(constB121)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4381, 1148, 1145, 795, 4375])).
% 134.82/85.46 tff(4383,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB121)) | v124(constB121, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB121)) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4384,plain,
% 134.82/85.46 (((~v115(constB121)) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB121)) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4385,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB121)) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB121)) | v124(constB121, bitIndex0)))),
% 134.82/85.46 inference(monotonicity,[status(thm)],[4384])).
% 134.82/85.46 tff(4386,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB121)) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB121)) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(transitivity,[status(thm)],[4385, 4383])).
% 134.82/85.46 tff(4387,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB121)) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b011(bitIndex0)))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4388,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB121)) | v124(constB121, bitIndex0)),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 134.82/85.46 tff(4389,plain,
% 134.82/85.46 (~v115(constB121)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4388, 1148, 1193, 795, 4375])).
% 134.82/85.46 tff(4390,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB121)) | (~b010(bitIndex1)) | v124(constB121, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB121)) | (~b010(bitIndex1)) | v124(constB121, bitIndex1))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4391,plain,
% 134.82/85.46 (((~v145(constB121)) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB121)) | (~b010(bitIndex1)) | v124(constB121, bitIndex1))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4392,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB121)) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB121)) | (~b010(bitIndex1)) | v124(constB121, bitIndex1)))),
% 134.82/85.46 inference(monotonicity,[status(thm)],[4391])).
% 134.82/85.46 tff(4393,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB121)) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB121)) | (~b010(bitIndex1)) | v124(constB121, bitIndex1))),
% 134.82/85.46 inference(transitivity,[status(thm)],[4392, 4390])).
% 134.82/85.46 tff(4394,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB121)) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~b010(bitIndex1)))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4395,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB121)) | (~b010(bitIndex1)) | v124(constB121, bitIndex1)),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 134.82/85.46 tff(4396,plain,
% 134.82/85.46 (~v145(constB121)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4395, 1821, 1818, 823, 4342])).
% 134.82/85.46 tff(4397,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB121)) | v124(constB121, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB121)) | v124(constB121, bitIndex2))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4398,plain,
% 134.82/85.46 (((~v113(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB121)) | v124(constB121, bitIndex2))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4399,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB121)) | v124(constB121, bitIndex2)))),
% 134.82/85.46 inference(monotonicity,[status(thm)],[4398])).
% 134.82/85.46 tff(4400,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB121)) | v124(constB121, bitIndex2))),
% 134.82/85.46 inference(transitivity,[status(thm)],[4399, 4397])).
% 134.82/85.46 tff(4401,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b100(bitIndex2)))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4402,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB121)) | v124(constB121, bitIndex2)),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 134.82/85.46 tff(4403,plain,
% 134.82/85.46 (~v113(constB121)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4402, 1772, 1838, 767, 4301])).
% 134.82/85.46 tff(4404,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB121) | (~b001(bitIndex0)) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | v124(constB121, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB121) | (~b001(bitIndex0)) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4405,plain,
% 134.82/85.46 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB121) | (~b001(bitIndex0)) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4406,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB121) | (~b001(bitIndex0)) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | v124(constB121, bitIndex0)))),
% 134.82/85.46 inference(monotonicity,[status(thm)],[4405])).
% 134.82/85.46 tff(4407,plain,
% 134.82/85.46 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB121) | (~b001(bitIndex0)) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | v124(constB121, bitIndex0))),
% 134.82/85.46 inference(transitivity,[status(thm)],[4406, 4404])).
% 134.82/85.46 tff(4408,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~b001(bitIndex0)))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4409,plain,
% 134.82/85.46 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB121) | (~b001(bitIndex0)) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | v124(constB121, bitIndex0)),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 134.82/85.46 tff(4410,plain,
% 134.82/85.46 (v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4409, 1213, 1210, 795, 4375])).
% 134.82/85.46 tff(4411,plain,
% 134.82/85.46 ($false),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4410, 4403, 4396, 4389, 4382, 4349, 4308])).
% 134.82/85.46 tff(4412,plain,(v84(constB123, bitIndex2) | v84(constB123, bitIndex0) | v115(constB123)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.46 tff(4413,plain,
% 134.82/85.46 (v115(constB123)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4412, 4082, 3983])).
% 134.82/85.46 tff(4414,plain,
% 134.82/85.46 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB123) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB123) | (~v115(constB123)))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4415,plain,
% 134.82/85.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB123) | (~v115(constB123)))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4416,plain,
% 134.82/85.46 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB123) | (~v115(constB123))),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4415, 4414])).
% 134.82/85.46 tff(4417,plain,
% 134.82/85.46 (v111(constB123)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4416, 945, 4413])).
% 134.82/85.46 tff(4418,plain,
% 134.82/85.46 (v110(constB123)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[3986, 691, 4417])).
% 134.82/85.46 tff(4419,plain,
% 134.82/85.46 ($false),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[3967, 680, 4418, 3964])).
% 134.82/85.46 tff(4420,plain,(v94(constB124) | v116(constB123) | v84(constB124, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.46 tff(4421,plain,
% 134.82/85.46 (v84(constB124, bitIndex2)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4420, 3972, 3906])).
% 134.82/85.46 tff(4422,assumption,(~v84(constB125, bitIndex2)), introduced(assumption)).
% 134.82/85.46 tff(4423,assumption,(v84(constB124, bitIndex2)), introduced(assumption)).
% 134.82/85.46 tff(4424,plain,
% 134.82/85.46 ((~v1(constB125)) <=> (~v1(constB125))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4425,axiom,(~v1(constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_125_1_1')).
% 134.82/85.46 tff(4426,plain,
% 134.82/85.46 (~v1(constB125)),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4425, 4424])).
% 134.82/85.46 tff(4427,plain,
% 134.82/85.46 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4428,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_124_1')).
% 134.82/85.46 tff(4429,plain,
% 134.82/85.46 (nextState(constB124, constB125)),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4428, 4427])).
% 134.82/85.46 tff(4430,plain,
% 134.82/85.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4431,plain,
% 134.82/85.46 (((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125)) <=> (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 134.82/85.46 inference(rewrite,[status(thm)],[])).
% 134.82/85.46 tff(4432,plain,
% 134.82/85.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))))),
% 134.82/85.46 inference(monotonicity,[status(thm)],[4431])).
% 134.82/85.46 tff(4433,plain,
% 134.82/85.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125)))),
% 134.82/85.46 inference(transitivity,[status(thm)],[4432, 4430])).
% 134.82/85.46 tff(4434,plain,
% 134.82/85.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB124, constB125)) | (~v95(constB125)) | v1(constB125))),
% 134.82/85.46 inference(quant_inst,[status(thm)],[])).
% 134.82/85.46 tff(4435,plain,
% 134.82/85.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB125) | (~nextState(constB124, constB125)) | (~v95(constB125))),
% 134.82/85.46 inference(modus_ponens,[status(thm)],[4434, 4433])).
% 134.82/85.46 tff(4436,plain,
% 134.82/85.46 (~v95(constB125)),
% 134.82/85.46 inference(unit_resolution,[status(thm)],[4435, 742, 4429, 4426])).
% 134.82/85.47 tff(4437,plain,
% 134.82/85.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4438,plain,
% 134.82/85.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4439,plain,
% 134.82/85.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB124, constB125)) | v95(constB125) | (~v94(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 134.82/85.47 tff(4440,plain,
% 134.82/85.47 (v95(constB125) | (~v94(constB125))),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4439, 759, 4429])).
% 134.82/85.47 tff(4441,plain,
% 134.82/85.47 (~v94(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4440, 4436])).
% 134.82/85.47 tff(4442,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB124, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB124, bitIndex2)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4443,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB124, bitIndex2)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4444,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB124, bitIndex2))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4443, 4442])).
% 134.82/85.47 tff(4445,plain,
% 134.82/85.47 ($false),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4444, 777, 767, 4429, 4441, 4423, 4422])).
% 134.82/85.47 tff(4446,plain,(v84(constB125, bitIndex2) | (~v84(constB124, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.47 tff(4447,plain,
% 134.82/85.47 (v84(constB125, bitIndex2)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4446, 4421])).
% 134.82/85.47 tff(4448,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB125, bitIndex2)) | (~v115(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4449,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v115(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4450,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB125, bitIndex2)) | (~v115(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4449, 4448])).
% 134.82/85.47 tff(4451,plain,
% 134.82/85.47 (~v115(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4450, 2665, 4447])).
% 134.82/85.47 tff(4452,assumption,(v107(constB125)), introduced(assumption)).
% 134.82/85.47 tff(4453,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB124, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB124, bitIndex2)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4454,plain,
% 134.82/85.47 (((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB124, bitIndex2)) | v84(constB123, bitIndex2)) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB124, bitIndex2)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4455,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB124, bitIndex2)) | v84(constB123, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB124, bitIndex2))))),
% 134.82/85.47 inference(monotonicity,[status(thm)],[4454])).
% 134.82/85.47 tff(4456,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB124, bitIndex2)) | v84(constB123, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB124, bitIndex2)))),
% 134.82/85.47 inference(transitivity,[status(thm)],[4455, 4453])).
% 134.82/85.47 tff(4457,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | (~v84(constB124, bitIndex2)) | v84(constB123, bitIndex2))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4458,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex2)) | v84(constB123, bitIndex2) | (~v84(constB124, bitIndex2))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4457, 4456])).
% 134.82/85.47 tff(4459,plain,
% 134.82/85.47 (v94(constB124) | v84(constB123, bitIndex2)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4458, 805, 767, 3912, 4423])).
% 134.82/85.47 tff(4460,plain,
% 134.82/85.47 (v84(constB123, bitIndex2)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4459, 3906])).
% 134.82/85.47 tff(4461,plain,
% 134.82/85.47 ($false),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4072, 805, 823, 3912, 3906, 4066, 4012])).
% 134.82/85.47 tff(4462,plain,(v94(constB124) | v84(constB123, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.47 tff(4463,plain,
% 134.82/85.47 (v84(constB123, bitIndex1)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4462, 3906])).
% 134.82/85.47 tff(4464,plain,
% 134.82/85.47 (v119(constB123) | (~v84(constB123, bitIndex1))),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4045, 1910, 3974, 4038])).
% 134.82/85.47 tff(4465,plain,
% 134.82/85.47 (v119(constB123)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4464, 4463])).
% 134.82/85.47 tff(4466,plain,
% 134.82/85.47 (v107(constB123)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4036, 1927, 4465])).
% 134.82/85.47 tff(4467,plain,
% 134.82/85.47 ($false),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[3955, 3947, 4466])).
% 134.82/85.47 tff(4468,plain,(v94(constB124) | (~v84(constB123, bitIndex2)) | v84(constB123, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.47 tff(4469,plain,
% 134.82/85.47 (v84(constB123, bitIndex0)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4468, 4460, 3906])).
% 134.82/85.47 tff(4470,assumption,(v84(constB123, bitIndex0)), introduced(assumption)).
% 134.82/85.47 tff(4471,assumption,(~v84(constB124, bitIndex0)), introduced(assumption)).
% 134.82/85.47 tff(4472,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB124, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB124, bitIndex0))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4473,plain,
% 134.82/85.47 (((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v84(constB123, bitIndex0))) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB124, bitIndex0))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4474,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v84(constB123, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB124, bitIndex0)))),
% 134.82/85.47 inference(monotonicity,[status(thm)],[4473])).
% 134.82/85.47 tff(4475,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v84(constB123, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB124, bitIndex0))),
% 134.82/85.47 inference(transitivity,[status(thm)],[4474, 4472])).
% 134.82/85.47 tff(4476,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v84(constB123, bitIndex0)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4477,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB124, bitIndex0)),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 134.82/85.47 tff(4478,plain,
% 134.82/85.47 ($false),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4477, 777, 795, 3912, 3906, 4471, 4470])).
% 134.82/85.47 tff(4479,plain,(v84(constB124, bitIndex0) | v94(constB124) | (~v84(constB123, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.47 tff(4480,plain,
% 134.82/85.47 (v84(constB124, bitIndex0)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4479, 4469, 3906])).
% 134.82/85.47 tff(4481,assumption,(~v84(constB125, bitIndex0)), introduced(assumption)).
% 134.82/85.47 tff(4482,assumption,(v84(constB124, bitIndex0)), introduced(assumption)).
% 134.82/85.47 tff(4483,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB124, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB124, bitIndex0)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4484,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB124, bitIndex0)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4485,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB124, bitIndex0))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 134.82/85.47 tff(4486,plain,
% 134.82/85.47 ($false),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4485, 777, 795, 4429, 4441, 4482, 4481])).
% 134.82/85.47 tff(4487,plain,(v84(constB125, bitIndex0) | (~v84(constB124, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.47 tff(4488,plain,
% 134.82/85.47 (v84(constB125, bitIndex0)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4487, 4480])).
% 134.82/85.47 tff(4489,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB125, bitIndex0)) | (~v119(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB125, bitIndex0)) | (~v119(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4490,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB125, bitIndex0)) | (~v119(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4491,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB125, bitIndex0)) | (~v119(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4490, 4489])).
% 134.82/85.47 tff(4492,plain,
% 134.82/85.47 (~v119(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4491, 3173, 4488])).
% 134.82/85.47 tff(4493,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB125) | v119(constB125) | (~v107(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB125) | v119(constB125) | (~v107(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4494,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB125) | v119(constB125) | (~v107(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4495,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB125) | v119(constB125) | (~v107(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4494, 4493])).
% 134.82/85.47 tff(4496,plain,
% 134.82/85.47 (v108(constB125) | v119(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4495, 3195, 4452])).
% 134.82/85.47 tff(4497,plain,
% 134.82/85.47 (v108(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4496, 4492])).
% 134.82/85.47 tff(4498,assumption,(~v84(constB125, bitIndex1)), introduced(assumption)).
% 134.82/85.47 tff(4499,assumption,(v84(constB124, bitIndex1)), introduced(assumption)).
% 134.82/85.47 tff(4500,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB124, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB124, bitIndex1)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4501,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB124, bitIndex1)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4502,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB124, bitIndex1))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4501, 4500])).
% 134.82/85.47 tff(4503,plain,
% 134.82/85.47 ($false),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4502, 777, 823, 4429, 4441, 4499, 4498])).
% 134.82/85.47 tff(4504,plain,(v84(constB125, bitIndex1) | (~v84(constB124, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.47 tff(4505,plain,
% 134.82/85.47 (v84(constB125, bitIndex1)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4504, 4066])).
% 134.82/85.47 tff(4506,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v172(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v172(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4507,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v172(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4508,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v172(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 134.82/85.47 tff(4509,plain,
% 134.82/85.47 (~v172(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4508, 2289, 4505])).
% 134.82/85.47 tff(4510,assumption,(~v110(constB125)), introduced(assumption)).
% 134.82/85.47 tff(4511,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB125)) | v172(constB125) | v110(constB125))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB125)) | v172(constB125) | v110(constB125))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4512,plain,
% 134.82/85.47 ((v110(constB125) | (~v109(constB125)) | v172(constB125)) <=> ((~v109(constB125)) | v172(constB125) | v110(constB125))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4513,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB125) | (~v109(constB125)) | v172(constB125))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB125)) | v172(constB125) | v110(constB125)))),
% 134.82/85.47 inference(monotonicity,[status(thm)],[4512])).
% 134.82/85.47 tff(4514,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB125) | (~v109(constB125)) | v172(constB125))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB125)) | v172(constB125) | v110(constB125))),
% 134.82/85.47 inference(transitivity,[status(thm)],[4513, 4511])).
% 134.82/85.47 tff(4515,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB125) | (~v109(constB125)) | v172(constB125))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4516,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB125)) | v172(constB125) | v110(constB125)),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 134.82/85.47 tff(4517,plain,
% 134.82/85.47 ((~v109(constB125)) | v172(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4516, 2871, 4510])).
% 134.82/85.47 tff(4518,plain,
% 134.82/85.47 (~v109(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4517, 4509])).
% 134.82/85.47 tff(4519,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v118(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v118(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4520,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v118(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4521,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB125, bitIndex1)) | (~v118(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 134.82/85.47 tff(4522,plain,
% 134.82/85.47 (~v118(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4521, 2842, 4505])).
% 134.82/85.47 tff(4523,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB125) | v118(constB125) | (~v108(constB125)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB125) | v118(constB125) | (~v108(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4524,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB125) | v118(constB125) | (~v108(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4525,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB125) | v118(constB125) | (~v108(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 134.82/85.47 tff(4526,plain,
% 134.82/85.47 ($false),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4525, 2856, 4522, 4518, 4497])).
% 134.82/85.47 tff(4527,plain,(v94(constB124) | (~v107(constB125)) | v110(constB125) | (~v84(constB124, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.47 tff(4528,plain,
% 134.82/85.47 (v110(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4527, 4421, 4452, 3906])).
% 134.82/85.47 tff(4529,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v116(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB125, bitIndex2)) | (~v116(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4530,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v116(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4531,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB125, bitIndex2)) | (~v116(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 134.82/85.47 tff(4532,plain,
% 134.82/85.47 (~v116(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4531, 1130, 4447])).
% 134.82/85.47 tff(4533,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB125) | v116(constB125) | (~v110(constB125)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB125) | v116(constB125) | (~v110(constB125)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4534,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB125) | v116(constB125) | (~v110(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4535,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB125) | v116(constB125) | (~v110(constB125))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4534, 4533])).
% 134.82/85.47 tff(4536,plain,
% 134.82/85.47 (v111(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4535, 2932, 4532, 4528])).
% 134.82/85.47 tff(4537,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB125)) | (~v84(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB125)) | (~v84(constB125, bitIndex1)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4538,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB125)) | (~v84(constB125, bitIndex1)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4539,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB125)) | (~v84(constB125, bitIndex1))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4538, 4537])).
% 134.82/85.47 tff(4540,plain,
% 134.82/85.47 (~v113(constB125)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4539, 1465, 4505])).
% 134.82/85.47 tff(4541,assumption,(v145(constB125)), introduced(assumption)).
% 134.82/85.47 tff(4542,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB125)) | (~v84(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB125)) | (~v84(constB125, bitIndex2)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4543,plain,
% 134.82/85.47 (((~v84(constB125, bitIndex2)) | (~v145(constB125))) <=> ((~v145(constB125)) | (~v84(constB125, bitIndex2)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4544,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB125)) | (~v84(constB125, bitIndex2))))),
% 134.82/85.47 inference(monotonicity,[status(thm)],[4543])).
% 134.82/85.47 tff(4545,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB125)) | (~v84(constB125, bitIndex2)))),
% 134.82/85.47 inference(transitivity,[status(thm)],[4544, 4542])).
% 134.82/85.47 tff(4546,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex2)) | (~v145(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4547,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB125)) | (~v84(constB125, bitIndex2))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 134.82/85.47 tff(4548,plain,
% 134.82/85.47 (~v84(constB125, bitIndex2)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4547, 725, 4541])).
% 134.82/85.47 tff(4549,plain,
% 134.82/85.47 (~v84(constB124, bitIndex2)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4444, 777, 767, 4429, 4441, 4548])).
% 134.82/85.47 tff(4550,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB125)) | v84(constB125, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB125)) | v84(constB125, bitIndex0))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4551,plain,
% 134.82/85.47 ((v84(constB125, bitIndex0) | (~v145(constB125))) <=> ((~v145(constB125)) | v84(constB125, bitIndex0))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4552,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB125, bitIndex0) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB125)) | v84(constB125, bitIndex0)))),
% 134.82/85.47 inference(monotonicity,[status(thm)],[4551])).
% 134.82/85.47 tff(4553,plain,
% 134.82/85.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB125, bitIndex0) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB125)) | v84(constB125, bitIndex0))),
% 134.82/85.47 inference(transitivity,[status(thm)],[4552, 4550])).
% 134.82/85.47 tff(4554,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB125, bitIndex0) | (~v145(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4555,plain,
% 134.82/85.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB125)) | v84(constB125, bitIndex0)),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4554, 4553])).
% 134.82/85.47 tff(4556,plain,
% 134.82/85.47 (v84(constB125, bitIndex0)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4555, 788, 4541])).
% 134.82/85.47 tff(4557,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB124, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB124, bitIndex0))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4558,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB124, bitIndex0))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4559,plain,
% 134.82/85.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB124, bitIndex0)),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4558, 4557])).
% 134.82/85.47 tff(4560,plain,
% 134.82/85.47 (v84(constB124, bitIndex0)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4559, 805, 795, 4429, 4441, 4556])).
% 134.82/85.47 tff(4561,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB125)) | (~v84(constB125, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB125)) | (~v84(constB125, bitIndex1)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4562,plain,
% 134.82/85.47 (((~v84(constB125, bitIndex1)) | (~v145(constB125))) <=> ((~v145(constB125)) | (~v84(constB125, bitIndex1)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4563,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB125)) | (~v84(constB125, bitIndex1))))),
% 134.82/85.47 inference(monotonicity,[status(thm)],[4562])).
% 134.82/85.47 tff(4564,plain,
% 134.82/85.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB125)) | (~v84(constB125, bitIndex1)))),
% 134.82/85.47 inference(transitivity,[status(thm)],[4563, 4561])).
% 134.82/85.47 tff(4565,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB125, bitIndex1)) | (~v145(constB125)))),
% 134.82/85.47 inference(quant_inst,[status(thm)],[])).
% 134.82/85.47 tff(4566,plain,
% 134.82/85.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB125)) | (~v84(constB125, bitIndex1))),
% 134.82/85.47 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 134.82/85.47 tff(4567,plain,
% 134.82/85.47 (~v84(constB125, bitIndex1)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4566, 816, 4541])).
% 134.82/85.47 tff(4568,plain,
% 134.82/85.47 (~v84(constB124, bitIndex1)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4502, 777, 823, 4429, 4441, 4567])).
% 134.82/85.47 tff(4569,plain,
% 134.82/85.47 (v94(constB124) | (~v84(constB123, bitIndex1))),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4003, 777, 823, 3912, 3996])).
% 134.82/85.47 tff(4570,plain,
% 134.82/85.47 (~v84(constB123, bitIndex1)),
% 134.82/85.47 inference(unit_resolution,[status(thm)],[4569, 3906])).
% 134.82/85.47 tff(4571,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB124, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB124, bitIndex0)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4572,plain,
% 134.82/85.47 (((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB124, bitIndex0)) | v84(constB123, bitIndex0)) <=> ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB124, bitIndex0)))),
% 134.82/85.47 inference(rewrite,[status(thm)],[])).
% 134.82/85.47 tff(4573,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB124, bitIndex0)) | v84(constB123, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB124, bitIndex0))))),
% 134.82/85.47 inference(monotonicity,[status(thm)],[4572])).
% 134.82/85.47 tff(4574,plain,
% 134.82/85.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB124, bitIndex0)) | v84(constB123, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB124, bitIndex0)))),
% 134.82/85.48 inference(transitivity,[status(thm)],[4573, 4571])).
% 134.82/85.48 tff(4575,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | (~v84(constB124, bitIndex0)) | v84(constB123, bitIndex0))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4576,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB123, constB124)) | v94(constB124) | (~less_3(bitIndex0)) | v84(constB123, bitIndex0) | (~v84(constB124, bitIndex0))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4575, 4574])).
% 134.82/85.48 tff(4577,plain,
% 134.82/85.48 (v94(constB124) | v84(constB123, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4576, 805, 795, 3912, 4482])).
% 134.82/85.48 tff(4578,plain,
% 134.82/85.48 (v84(constB123, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4577, 3906])).
% 134.82/85.48 tff(4579,plain,
% 134.82/85.48 (v94(constB124) | (~v84(constB123, bitIndex2))),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[3980, 777, 767, 3912, 3973])).
% 134.82/85.48 tff(4580,plain,
% 134.82/85.48 (~v84(constB123, bitIndex2)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4579, 3906])).
% 134.82/85.48 tff(4581,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4020, 4580, 4578, 4570])).
% 134.82/85.48 tff(4582,plain,(v94(constB124) | v145(constB123) | v84(constB124, bitIndex1) | v84(constB124, bitIndex2) | (~v84(constB124, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4583,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4582, 4568, 4560, 3906, 4549, 4010])).
% 134.82/85.48 tff(4584,plain,((~v145(constB125)) | v94(constB124)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4585,plain,
% 134.82/85.48 (~v145(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4584, 3906])).
% 134.82/85.48 tff(4586,plain,
% 134.82/85.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB125) | v113(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB125) | v113(constB125) | (~v112(constB125)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4587,plain,
% 134.82/85.48 ((v113(constB125) | (~v112(constB125)) | v145(constB125)) <=> (v145(constB125) | v113(constB125) | (~v112(constB125)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4588,plain,
% 134.82/85.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB125) | (~v112(constB125)) | v145(constB125))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB125) | v113(constB125) | (~v112(constB125))))),
% 134.82/85.48 inference(monotonicity,[status(thm)],[4587])).
% 134.82/85.48 tff(4589,plain,
% 134.82/85.48 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB125) | (~v112(constB125)) | v145(constB125))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB125) | v113(constB125) | (~v112(constB125)))),
% 134.82/85.48 inference(transitivity,[status(thm)],[4588, 4586])).
% 134.82/85.48 tff(4590,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB125) | (~v112(constB125)) | v145(constB125))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4591,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB125) | v113(constB125) | (~v112(constB125))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 134.82/85.48 tff(4592,plain,
% 134.82/85.48 (v113(constB125) | (~v112(constB125))),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4591, 2894, 4585])).
% 134.82/85.48 tff(4593,plain,
% 134.82/85.48 (~v112(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4592, 4540])).
% 134.82/85.48 tff(4594,plain,
% 134.82/85.48 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB125) | v115(constB125) | (~v111(constB125)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB125) | v115(constB125) | (~v111(constB125)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4595,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB125) | v115(constB125) | (~v111(constB125)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4596,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB125) | v115(constB125) | (~v111(constB125))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 134.82/85.48 tff(4597,plain,
% 134.82/85.48 (v115(constB125) | (~v111(constB125))),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4596, 2911, 4593])).
% 134.82/85.48 tff(4598,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4597, 4536, 4451])).
% 134.82/85.48 tff(4599,plain,(v94(constB124) | (~v107(constB125))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4600,plain,
% 134.82/85.48 (~v107(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4599, 3906])).
% 134.82/85.48 tff(4601,assumption,(~v84(constB126, bitIndex1)), introduced(assumption)).
% 134.82/85.48 tff(4602,assumption,(v84(constB125, bitIndex1)), introduced(assumption)).
% 134.82/85.48 tff(4603,assumption,(~v94(constB126)), introduced(assumption)).
% 134.82/85.48 tff(4604,plain,
% 134.82/85.48 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4605,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_125_1')).
% 134.82/85.48 tff(4606,plain,
% 134.82/85.48 (nextState(constB125, constB126)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4605, 4604])).
% 134.82/85.48 tff(4607,plain,
% 134.82/85.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB126, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB126, bitIndex1))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4608,plain,
% 134.82/85.48 (((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v84(constB125, bitIndex1))) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB126, bitIndex1))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4609,plain,
% 134.82/85.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v84(constB125, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB126, bitIndex1)))),
% 134.82/85.48 inference(monotonicity,[status(thm)],[4608])).
% 134.82/85.48 tff(4610,plain,
% 134.82/85.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v84(constB125, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB126, bitIndex1))),
% 134.82/85.48 inference(transitivity,[status(thm)],[4609, 4607])).
% 134.82/85.48 tff(4611,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v84(constB125, bitIndex1)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4612,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB126, bitIndex1)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 134.82/85.48 tff(4613,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4612, 777, 823, 4606, 4603, 4601, 4602])).
% 134.82/85.48 tff(4614,plain,(v84(constB126, bitIndex1) | v94(constB126) | (~v84(constB125, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4615,plain,
% 134.82/85.48 (v94(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4614, 4505, 4601])).
% 134.82/85.48 tff(4616,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v94(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v94(constB126)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4617,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v94(constB126)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4618,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v94(constB126))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4617, 4616])).
% 134.82/85.48 tff(4619,plain,
% 134.82/85.48 (v104(constB126) | (~v94(constB126))),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4618, 3113, 4606])).
% 134.82/85.48 tff(4620,plain,
% 134.82/85.48 (v104(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4619, 4615])).
% 134.82/85.48 tff(4621,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB125, constB126)) | (~v104(constB126)) | v102(constB125))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB125, constB126)) | (~v104(constB126)) | v102(constB125))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4622,plain,
% 134.82/85.48 (((~nextState(constB125, constB126)) | v102(constB125) | (~v104(constB126))) <=> ((~nextState(constB125, constB126)) | (~v104(constB126)) | v102(constB125))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4623,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB125, constB126)) | v102(constB125) | (~v104(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB125, constB126)) | (~v104(constB126)) | v102(constB125)))),
% 134.82/85.48 inference(monotonicity,[status(thm)],[4622])).
% 134.82/85.48 tff(4624,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB125, constB126)) | v102(constB125) | (~v104(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB125, constB126)) | (~v104(constB126)) | v102(constB125))),
% 134.82/85.48 inference(transitivity,[status(thm)],[4623, 4621])).
% 134.82/85.48 tff(4625,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB125, constB126)) | v102(constB125) | (~v104(constB126)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4626,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB125, constB126)) | (~v104(constB126)) | v102(constB125)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 134.82/85.48 tff(4627,plain,
% 134.82/85.48 ((~v104(constB126)) | v102(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4626, 3128, 4606])).
% 134.82/85.48 tff(4628,plain,
% 134.82/85.48 (v102(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4627, 4620])).
% 134.82/85.48 tff(4629,assumption,(v26(constB125)), introduced(assumption)).
% 134.82/85.48 tff(4630,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4631,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4630, 1172, 4629])).
% 134.82/85.48 tff(4632,plain,(~v26(constB125)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4633,plain,
% 134.82/85.48 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB125)) | v26(constB125) | v106(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB125)) | v26(constB125) | v106(constB125))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4634,plain,
% 134.82/85.48 ((v26(constB125) | v106(constB125) | (~v102(constB125))) <=> ((~v102(constB125)) | v26(constB125) | v106(constB125))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4635,plain,
% 134.82/85.48 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB125) | v106(constB125) | (~v102(constB125)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB125)) | v26(constB125) | v106(constB125)))),
% 134.82/85.48 inference(monotonicity,[status(thm)],[4634])).
% 134.82/85.48 tff(4636,plain,
% 134.82/85.48 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB125) | v106(constB125) | (~v102(constB125)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB125)) | v26(constB125) | v106(constB125))),
% 134.82/85.48 inference(transitivity,[status(thm)],[4635, 4633])).
% 134.82/85.48 tff(4637,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB125) | v106(constB125) | (~v102(constB125)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4638,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB125)) | v26(constB125) | v106(constB125)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4637, 4636])).
% 134.82/85.48 tff(4639,plain,
% 134.82/85.48 ((~v102(constB125)) | v106(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4638, 3146, 4632])).
% 134.82/85.48 tff(4640,plain,
% 134.82/85.48 (v106(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4639, 4628])).
% 134.82/85.48 tff(4641,plain,
% 134.82/85.48 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB125) | (~v106(constB125)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB125) | (~v106(constB125)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4642,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB125) | (~v106(constB125)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4643,plain,
% 134.82/85.48 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB125) | (~v106(constB125))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4642, 4641])).
% 134.82/85.48 tff(4644,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4643, 3161, 4640, 4600])).
% 134.82/85.48 tff(4645,plain,(v94(constB124) | v84(constB126, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4646,plain,
% 134.82/85.48 (v84(constB126, bitIndex1)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4645, 3906])).
% 134.82/85.48 tff(4647,assumption,(~v84(constB127, bitIndex0)), introduced(assumption)).
% 134.82/85.48 tff(4648,plain,
% 134.82/85.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB123, bitIndex1)) | (~v172(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB123, bitIndex1)) | (~v172(constB123)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4649,plain,
% 134.82/85.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB123, bitIndex1)) | (~v172(constB123)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4650,plain,
% 134.82/85.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB123, bitIndex1)) | (~v172(constB123))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4649, 4648])).
% 134.82/85.48 tff(4651,plain,
% 134.82/85.48 (~v172(constB123)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4650, 2289, 4073])).
% 134.82/85.48 tff(4652,plain,
% 134.82/85.48 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB123)) | (~v84(constB123, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB123)) | (~v84(constB123, bitIndex1)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4653,plain,
% 134.82/85.48 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB123)) | (~v84(constB123, bitIndex1)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4654,plain,
% 134.82/85.48 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB123)) | (~v84(constB123, bitIndex1))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4653, 4652])).
% 134.82/85.48 tff(4655,plain,
% 134.82/85.48 (~v113(constB123)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4654, 1465, 4073])).
% 134.82/85.48 tff(4656,plain,
% 134.82/85.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB123)) | (~v84(constB123, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB123)) | (~v84(constB123, bitIndex1)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4657,plain,
% 134.82/85.48 (((~v84(constB123, bitIndex1)) | (~v145(constB123))) <=> ((~v145(constB123)) | (~v84(constB123, bitIndex1)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4658,plain,
% 134.82/85.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB123, bitIndex1)) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB123)) | (~v84(constB123, bitIndex1))))),
% 134.82/85.48 inference(monotonicity,[status(thm)],[4657])).
% 134.82/85.48 tff(4659,plain,
% 134.82/85.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB123, bitIndex1)) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB123)) | (~v84(constB123, bitIndex1)))),
% 134.82/85.48 inference(transitivity,[status(thm)],[4658, 4656])).
% 134.82/85.48 tff(4660,plain,
% 134.82/85.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB123, bitIndex1)) | (~v145(constB123)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4661,plain,
% 134.82/85.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB123)) | (~v84(constB123, bitIndex1))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4660, 4659])).
% 134.82/85.48 tff(4662,plain,
% 134.82/85.48 (~v145(constB123)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4661, 816, 4073])).
% 134.82/85.48 tff(4663,plain,
% 134.82/85.48 (~v115(constB123)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4416, 945, 3987])).
% 134.82/85.48 tff(4664,plain,
% 134.82/85.48 (v84(constB123, bitIndex1)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4028, 4011, 4022, 4013])).
% 134.82/85.48 tff(4665,plain,
% 134.82/85.48 (~v84(constB123, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4081, 4664, 4011])).
% 134.82/85.48 tff(4666,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4316, 4665, 4664, 4011])).
% 134.82/85.48 tff(4667,plain,(v84(constB123, bitIndex2) | v115(constB123) | v116(constB123) | v113(constB123) | v145(constB123)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4668,plain,
% 134.82/85.48 (v84(constB123, bitIndex2)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4667, 4663, 4662, 4655, 3972])).
% 134.82/85.48 tff(4669,plain,
% 134.82/85.48 (v84(constB123, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4054, 4668, 4037, 4651])).
% 134.82/85.48 tff(4670,plain,
% 134.82/85.48 (v84(constB124, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4479, 4669, 3906])).
% 134.82/85.48 tff(4671,plain,
% 134.82/85.48 (v84(constB125, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4487, 4670])).
% 134.82/85.48 tff(4672,assumption,(v84(constB125, bitIndex0)), introduced(assumption)).
% 134.82/85.48 tff(4673,plain,
% 134.82/85.48 ((~v1(constB127)) <=> (~v1(constB127))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4674,axiom,(~v1(constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_127_1_1')).
% 134.82/85.48 tff(4675,plain,
% 134.82/85.48 (~v1(constB127)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4674, 4673])).
% 134.82/85.48 tff(4676,plain,
% 134.82/85.48 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4677,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_126_1')).
% 134.82/85.48 tff(4678,plain,
% 134.82/85.48 (nextState(constB126, constB127)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4677, 4676])).
% 134.82/85.48 tff(4679,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4680,plain,
% 134.82/85.48 (((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127)) <=> (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4681,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))))),
% 134.82/85.48 inference(monotonicity,[status(thm)],[4680])).
% 134.82/85.48 tff(4682,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127)))),
% 134.82/85.48 inference(transitivity,[status(thm)],[4681, 4679])).
% 134.82/85.48 tff(4683,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB126, constB127)) | (~v95(constB127)) | v1(constB127))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4684,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB127) | (~nextState(constB126, constB127)) | (~v95(constB127))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 134.82/85.48 tff(4685,plain,
% 134.82/85.48 (~v95(constB127)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4684, 742, 4678, 4675])).
% 134.82/85.48 tff(4686,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4687,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4688,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB126, constB127)) | v95(constB127) | (~v94(constB127))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4687, 4686])).
% 134.82/85.48 tff(4689,plain,
% 134.82/85.48 (v95(constB127) | (~v94(constB127))),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4688, 759, 4678])).
% 134.82/85.48 tff(4690,plain,
% 134.82/85.48 (~v94(constB127)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4689, 4685])).
% 134.82/85.48 tff(4691,plain,
% 134.82/85.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex0)) | v84(constB127, bitIndex0) | (~v84(constB126, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex0)) | v84(constB127, bitIndex0) | (~v84(constB126, bitIndex0)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4692,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex0)) | v84(constB127, bitIndex0) | (~v84(constB126, bitIndex0)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4693,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex0)) | v84(constB127, bitIndex0) | (~v84(constB126, bitIndex0))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 134.82/85.48 tff(4694,plain,
% 134.82/85.48 (~v84(constB126, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4693, 777, 795, 4678, 4690, 4647])).
% 134.82/85.48 tff(4695,plain,
% 134.82/85.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB126, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB126, bitIndex0))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4696,plain,
% 134.82/85.48 (((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v84(constB125, bitIndex0))) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB126, bitIndex0))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4697,plain,
% 134.82/85.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v84(constB125, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB126, bitIndex0)))),
% 134.82/85.48 inference(monotonicity,[status(thm)],[4696])).
% 134.82/85.48 tff(4698,plain,
% 134.82/85.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v84(constB125, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB126, bitIndex0))),
% 134.82/85.48 inference(transitivity,[status(thm)],[4697, 4695])).
% 134.82/85.48 tff(4699,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v84(constB125, bitIndex0)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4700,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB125, bitIndex0)) | v84(constB126, bitIndex0)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4699, 4698])).
% 134.82/85.48 tff(4701,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4700, 777, 795, 4606, 4603, 4694, 4672])).
% 134.82/85.48 tff(4702,plain,(v94(constB126) | (~v84(constB125, bitIndex0)) | v84(constB127, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4703,plain,
% 134.82/85.48 (v94(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4702, 4671, 4647])).
% 134.82/85.48 tff(4704,plain,
% 134.82/85.48 (v104(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4619, 4703])).
% 134.82/85.48 tff(4705,plain,
% 134.82/85.48 (v102(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4627, 4704])).
% 134.82/85.48 tff(4706,plain,
% 134.82/85.48 (v106(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4639, 4705])).
% 134.82/85.48 tff(4707,plain,
% 134.82/85.48 (v107(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4643, 3161, 4706])).
% 134.82/85.48 tff(4708,plain,
% 134.82/85.48 (~v119(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4491, 3173, 4671])).
% 134.82/85.48 tff(4709,plain,
% 134.82/85.48 (v108(constB125) | (~v107(constB125))),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4495, 3195, 4708])).
% 134.82/85.48 tff(4710,plain,
% 134.82/85.48 (v108(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4709, 4707])).
% 134.82/85.48 tff(4711,plain,
% 134.82/85.48 (v109(constB125) | (~v108(constB125))),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4525, 2856, 4522])).
% 134.82/85.48 tff(4712,plain,
% 134.82/85.48 (v109(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4711, 4710])).
% 134.82/85.48 tff(4713,plain,
% 134.82/85.48 ((~v109(constB125)) | v110(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4516, 2871, 4509])).
% 134.82/85.48 tff(4714,plain,
% 134.82/85.48 (v110(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4713, 4712])).
% 134.82/85.48 tff(4715,plain,
% 134.82/85.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB125, bitIndex0)) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB125, bitIndex0)) | (~v115(constB125)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4716,plain,
% 134.82/85.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB125, bitIndex0)) | (~v115(constB125)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4717,plain,
% 134.82/85.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB125, bitIndex0)) | (~v115(constB125))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4716, 4715])).
% 134.82/85.48 tff(4718,plain,
% 134.82/85.48 (~v115(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4717, 3011, 4671])).
% 134.82/85.48 tff(4719,plain,
% 134.82/85.48 (~v111(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4597, 4718])).
% 134.82/85.48 tff(4720,plain,
% 134.82/85.48 (v116(constB125) | (~v110(constB125))),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4535, 2932, 4719])).
% 134.82/85.48 tff(4721,plain,
% 134.82/85.48 (v116(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4720, 4714])).
% 134.82/85.48 tff(4722,plain,
% 134.82/85.48 (~v84(constB125, bitIndex2)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4531, 1130, 4721])).
% 134.82/85.48 tff(4723,plain,
% 134.82/85.48 (v84(constB124, bitIndex2)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[3982, 4668, 3906])).
% 134.82/85.48 tff(4724,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4444, 777, 767, 4429, 4441, 4723, 4722])).
% 134.82/85.48 tff(4725,plain,(v94(constB124) | v84(constB127, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4726,plain,
% 134.82/85.48 (v84(constB127, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4725, 3906])).
% 134.82/85.48 tff(4727,assumption,(v84(constB127, bitIndex0)), introduced(assumption)).
% 134.82/85.48 tff(4728,assumption,(~v84(constB126, bitIndex0)), introduced(assumption)).
% 134.82/85.48 tff(4729,plain,
% 134.82/85.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB126, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB126, bitIndex0))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4730,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB126, bitIndex0))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4731,plain,
% 134.82/85.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB126, bitIndex0)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 134.82/85.48 tff(4732,plain,
% 134.82/85.48 ($false),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4731, 805, 795, 4678, 4690, 4728, 4727])).
% 134.82/85.48 tff(4733,plain,((~v84(constB127, bitIndex0)) | v84(constB126, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.48 tff(4734,plain,
% 134.82/85.48 (v84(constB126, bitIndex0)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4733, 4726])).
% 134.82/85.48 tff(4735,plain,
% 134.82/85.48 (~v106(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4643, 3161, 4600])).
% 134.82/85.48 tff(4736,plain,
% 134.82/85.48 (~v102(constB125)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4639, 4735])).
% 134.82/85.48 tff(4737,plain,
% 134.82/85.48 (~v104(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4627, 4736])).
% 134.82/85.48 tff(4738,plain,
% 134.82/85.48 (~v94(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4619, 4737])).
% 134.82/85.48 tff(4739,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4740,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126)))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4741,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB125) | (~nextState(constB125, constB126)) | (~v98(constB126))),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4740, 4739])).
% 134.82/85.48 tff(4742,plain,
% 134.82/85.48 (~v98(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4741, 541, 4606, 4426])).
% 134.82/85.48 tff(4743,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4744,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB125, constB126)) | v96(constB126) | v98(constB126))),
% 134.82/85.48 inference(quant_inst,[status(thm)],[])).
% 134.82/85.48 tff(4745,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB125, constB126)) | v96(constB126) | v98(constB126)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 134.82/85.48 tff(4746,plain,
% 134.82/85.48 (v96(constB126) | v98(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4745, 555, 4606])).
% 134.82/85.48 tff(4747,plain,
% 134.82/85.48 (v96(constB126)),
% 134.82/85.48 inference(unit_resolution,[status(thm)],[4746, 4742])).
% 134.82/85.48 tff(4748,plain,
% 134.82/85.48 (v1(constB126) <=> v1(constB126)),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4749,axiom,(v1(constB126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_126_1')).
% 134.82/85.48 tff(4750,plain,
% 134.82/85.48 (v1(constB126)),
% 134.82/85.48 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 134.82/85.48 tff(4751,plain,
% 134.82/85.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 134.82/85.48 inference(rewrite,[status(thm)],[])).
% 134.82/85.48 tff(4752,plain,
% 134.82/85.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4753,plain,
% 134.82/85.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB125, constB126)) | v95(constB126) | (~v96(constB126)) | (~v1(constB126))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4752, 4751])).
% 134.82/85.49 tff(4754,plain,
% 134.82/85.49 (v95(constB126) | (~v96(constB126))),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4753, 573, 4606, 4750])).
% 134.82/85.49 tff(4755,plain,
% 134.82/85.49 (v95(constB126)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4754, 4747])).
% 134.82/85.49 tff(4756,plain,
% 134.82/85.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4757,plain,
% 134.82/85.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4758,plain,
% 134.82/85.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB125, constB126)) | (~v95(constB126)) | (~v104(constB126)) | v94(constB126)),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4757, 4756])).
% 134.82/85.49 tff(4759,plain,
% 134.82/85.49 ((~v95(constB126)) | (~v104(constB126)) | v94(constB126)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4758, 588, 4606])).
% 134.82/85.49 tff(4760,plain,
% 134.82/85.49 ((~v104(constB126)) | v94(constB126)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4759, 4755])).
% 134.82/85.49 tff(4761,plain,
% 134.82/85.49 (~v104(constB126)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4760, 4603])).
% 134.82/85.49 tff(4762,plain,
% 134.82/85.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4763,plain,
% 134.82/85.49 (((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126)) <=> ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4764,plain,
% 134.82/85.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4763])).
% 134.82/85.49 tff(4765,plain,
% 134.82/85.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125)))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4764, 4762])).
% 134.82/85.49 tff(4766,plain,
% 134.82/85.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB125, constB126)) | (~v102(constB125)) | v104(constB126))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4767,plain,
% 134.82/85.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB125, constB126)) | v104(constB126) | (~v102(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4766, 4765])).
% 134.82/85.49 tff(4768,plain,
% 134.82/85.49 (v104(constB126) | (~v102(constB125))),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4767, 604, 4606])).
% 134.82/85.49 tff(4769,plain,
% 134.82/85.49 (~v102(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4768, 4761])).
% 134.82/85.49 tff(4770,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB125) | (~v106(constB125)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB125) | (~v106(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4771,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB125) | (~v106(constB125)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4772,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB125) | (~v106(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4771, 4770])).
% 134.82/85.49 tff(4773,plain,
% 134.82/85.49 (~v106(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4772, 619, 4769])).
% 134.82/85.49 tff(4774,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | v106(constB125) | (~v107(constB125)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4775,plain,
% 134.82/85.49 ((v26(constB125) | (~v107(constB125)) | v106(constB125)) <=> (v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4776,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | v106(constB125) | (~v107(constB125))))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4775])).
% 134.82/85.49 tff(4777,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125)))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4776, 4774])).
% 134.82/85.49 tff(4778,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB125) | (~v107(constB125)) | v106(constB125))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4779,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB125) | v106(constB125) | (~v107(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 134.82/85.49 tff(4780,plain,
% 134.82/85.49 (v106(constB125) | (~v107(constB125))),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4779, 644, 4632])).
% 134.82/85.49 tff(4781,plain,
% 134.82/85.49 (~v107(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4780, 4773])).
% 134.82/85.49 tff(4782,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB125) | (~v108(constB125)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB125) | (~v108(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4783,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB125) | (~v108(constB125)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4784,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB125) | (~v108(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 134.82/85.49 tff(4785,plain,
% 134.82/85.49 (~v108(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4784, 658, 4781])).
% 134.82/85.49 tff(4786,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB125) | (~v109(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB125) | (~v109(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4787,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB125) | (~v109(constB125)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4788,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB125) | (~v109(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4787, 4786])).
% 134.82/85.49 tff(4789,plain,
% 134.82/85.49 (~v109(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4788, 669, 4785])).
% 134.82/85.49 tff(4790,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB125) | (~v110(constB125)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB125) | (~v110(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4791,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB125) | (~v110(constB125)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4792,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB125) | (~v110(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4791, 4790])).
% 134.82/85.49 tff(4793,plain,
% 134.82/85.49 (~v110(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4792, 680, 4789])).
% 134.82/85.49 tff(4794,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB125) | (~v111(constB125)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB125) | (~v111(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4795,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB125) | (~v111(constB125)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4796,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB125) | (~v111(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 134.82/85.49 tff(4797,plain,
% 134.82/85.49 (~v111(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4796, 691, 4793])).
% 134.82/85.49 tff(4798,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB125) | (~v112(constB125)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB125) | (~v112(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4799,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB125) | (~v112(constB125)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4800,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB125) | (~v112(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4799, 4798])).
% 134.82/85.49 tff(4801,plain,
% 134.82/85.49 (~v112(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4800, 702, 4797])).
% 134.82/85.49 tff(4802,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB125) | (~v116(constB125)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB125) | (~v116(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4803,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB125) | (~v116(constB125)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4804,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB125) | (~v116(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4803, 4802])).
% 134.82/85.49 tff(4805,plain,
% 134.82/85.49 (~v116(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4804, 934, 4793])).
% 134.82/85.49 tff(4806,assumption,(~v84(constB126, bitIndex2)), introduced(assumption)).
% 134.82/85.49 tff(4807,assumption,(v84(constB125, bitIndex2)), introduced(assumption)).
% 134.82/85.49 tff(4808,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB126, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB126, bitIndex2))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4809,plain,
% 134.82/85.49 (((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v84(constB125, bitIndex2))) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB126, bitIndex2))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4810,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v84(constB125, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB126, bitIndex2)))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4809])).
% 134.82/85.49 tff(4811,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v84(constB125, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB126, bitIndex2))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4810, 4808])).
% 134.82/85.49 tff(4812,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v84(constB125, bitIndex2)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4813,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB126, bitIndex2)),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4812, 4811])).
% 134.82/85.49 tff(4814,plain,
% 134.82/85.49 ($false),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4813, 777, 767, 4606, 4603, 4806, 4807])).
% 134.82/85.49 tff(4815,plain,(v84(constB126, bitIndex2) | v94(constB126) | (~v84(constB125, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.49 tff(4816,plain,
% 134.82/85.49 (~v84(constB125, bitIndex2)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4815, 4603, 4806])).
% 134.82/85.49 tff(4817,plain,
% 134.82/85.49 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB125) | (~v115(constB125)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB125) | (~v115(constB125)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4818,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB125) | (~v115(constB125)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4819,plain,
% 134.82/85.49 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB125) | (~v115(constB125))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4818, 4817])).
% 134.82/85.49 tff(4820,plain,
% 134.82/85.49 (~v115(constB125)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4819, 945, 4797])).
% 134.82/85.49 tff(4821,assumption,(~v145(constB125)), introduced(assumption)).
% 134.82/85.49 tff(4822,assumption,(v116(constB123)), introduced(assumption)).
% 134.82/85.49 tff(4823,plain,
% 134.82/85.49 (v110(constB123)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[3971, 934, 4822])).
% 134.82/85.49 tff(4824,plain,
% 134.82/85.49 (v109(constB123)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[3967, 680, 4823])).
% 134.82/85.49 tff(4825,plain,
% 134.82/85.49 (v108(constB123)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[3963, 669, 4824])).
% 134.82/85.49 tff(4826,plain,
% 134.82/85.49 (v107(constB123)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[3959, 658, 4825])).
% 134.82/85.49 tff(4827,plain,
% 134.82/85.49 (v106(constB123)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[3955, 4826])).
% 134.82/85.49 tff(4828,plain,
% 134.82/85.49 (v102(constB123)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[3946, 619, 4827])).
% 134.82/85.49 tff(4829,plain,
% 134.82/85.49 (v104(constB124)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[3942, 4828])).
% 134.82/85.49 tff(4830,plain,
% 134.82/85.49 (v94(constB124)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[3934, 4829])).
% 134.82/85.49 tff(4831,plain,
% 134.82/85.49 (~v84(constB124, bitIndex1)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4504, 4498])).
% 134.82/85.49 tff(4832,assumption,(v94(constB124)), introduced(assumption)).
% 134.82/85.49 tff(4833,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v84(constB124, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v84(constB124, bitIndex1))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4834,plain,
% 134.82/85.49 (((~less_3(bitIndex1)) | (~v94(constB124)) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1))) <=> ((~v94(constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v84(constB124, bitIndex1))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4835,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB124)) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v84(constB124, bitIndex1)))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4834])).
% 134.82/85.49 tff(4836,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB124)) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v84(constB124, bitIndex1))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4835, 4833])).
% 134.82/85.49 tff(4837,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB124)) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4838,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v84(constB124, bitIndex1)),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4837, 4836])).
% 134.82/85.49 tff(4839,plain,
% 134.82/85.49 (~v123(constB124, bitIndex1)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4838, 1674, 823, 4832, 4831])).
% 134.82/85.49 tff(4840,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex1)) | v123(constB124, bitIndex1) | (~v121(constB123, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex1)) | v123(constB124, bitIndex1) | (~v121(constB123, bitIndex1)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4841,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex1)) | v123(constB124, bitIndex1) | (~v121(constB123, bitIndex1)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4842,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex1)) | v123(constB124, bitIndex1) | (~v121(constB123, bitIndex1))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 134.82/85.49 tff(4843,plain,
% 134.82/85.49 (~v121(constB123, bitIndex1)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4842, 1708, 823, 3912, 4839])).
% 134.82/85.49 tff(4844,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex1)) | v121(constB123, bitIndex1) | (~v124(constB123, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex1)) | v121(constB123, bitIndex1) | (~v124(constB123, bitIndex1)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4845,plain,
% 134.82/85.49 ((v26(constB123) | v121(constB123, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1))) <=> (v26(constB123) | (~less_3(bitIndex1)) | v121(constB123, bitIndex1) | (~v124(constB123, bitIndex1)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4846,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex1)) | v121(constB123, bitIndex1) | (~v124(constB123, bitIndex1))))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4845])).
% 134.82/85.49 tff(4847,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex1)) | v121(constB123, bitIndex1) | (~v124(constB123, bitIndex1)))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4846, 4844])).
% 134.82/85.49 tff(4848,plain,
% 134.82/85.49 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4849,plain,
% 134.82/85.49 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex1)) | v121(constB123, bitIndex1) | (~v124(constB123, bitIndex1))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 134.82/85.49 tff(4850,plain,
% 134.82/85.49 (~v124(constB123, bitIndex1)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4849, 1728, 823, 3951, 4843])).
% 134.82/85.49 tff(4851,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB123)) | v124(constB123, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB123)) | v124(constB123, bitIndex1))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4852,plain,
% 134.82/85.49 (((~v118(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB123)) | v124(constB123, bitIndex1))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4853,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB123)) | v124(constB123, bitIndex1)))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4852])).
% 134.82/85.49 tff(4854,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB123)) | v124(constB123, bitIndex1))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4853, 4851])).
% 134.82/85.49 tff(4855,plain,
% 134.82/85.49 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b011(bitIndex1)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4856,plain,
% 134.82/85.49 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB123)) | v124(constB123, bitIndex1)),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4855, 4854])).
% 134.82/85.49 tff(4857,plain,
% 134.82/85.49 (~v118(constB123)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4856, 3033, 1145, 823, 4850])).
% 134.82/85.49 tff(4858,plain,
% 134.82/85.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB125) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB125) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4859,plain,
% 134.82/85.49 (((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2) | v145(constB125)) <=> (v145(constB125) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4860,plain,
% 134.82/85.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2) | v145(constB125))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB125) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2)))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4859])).
% 134.82/85.49 tff(4861,plain,
% 134.82/85.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2) | v145(constB125))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB125) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4860, 4858])).
% 134.82/85.49 tff(4862,plain,
% 134.82/85.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2) | v145(constB125))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4863,plain,
% 134.82/85.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB125) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2)),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 134.82/85.49 tff(4864,plain,
% 134.82/85.49 ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | v84(constB125, bitIndex2)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4863, 865, 4821])).
% 134.82/85.49 tff(4865,plain,
% 134.82/85.49 (~v84(constB125, bitIndex0)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4864, 4498, 4422])).
% 134.82/85.49 tff(4866,plain,
% 134.82/85.49 (~v84(constB124, bitIndex0)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4487, 4865])).
% 134.82/85.49 tff(4867,assumption,(v123(constB124, bitIndex0)), introduced(assumption)).
% 134.82/85.49 tff(4868,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB124)) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4869,plain,
% 134.82/85.49 (((~less_3(bitIndex0)) | (~v94(constB124)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0))) <=> ((~v94(constB124)) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4870,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB124)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB124)) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0))))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4869])).
% 134.82/85.49 tff(4871,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB124)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4870, 4868])).
% 134.82/85.49 tff(4872,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB124)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4873,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex0)) | v84(constB124, bitIndex0) | (~v123(constB124, bitIndex0))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 134.82/85.49 tff(4874,plain,
% 134.82/85.49 ($false),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4873, 1674, 795, 4832, 4471, 4867])).
% 134.82/85.49 tff(4875,plain,(v84(constB124, bitIndex0) | (~v94(constB124)) | (~v123(constB124, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.49 tff(4876,plain,
% 134.82/85.49 (~v123(constB124, bitIndex0)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4875, 4866, 4832])).
% 134.82/85.49 tff(4877,assumption,(~v123(constB124, bitIndex0)), introduced(assumption)).
% 134.82/85.49 tff(4878,assumption,(v121(constB123, bitIndex0)), introduced(assumption)).
% 134.82/85.49 tff(4879,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex0)) | v123(constB124, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex0)) | v123(constB124, bitIndex0) | (~v121(constB123, bitIndex0)))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4880,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex0)) | v123(constB124, bitIndex0) | (~v121(constB123, bitIndex0)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4881,plain,
% 134.82/85.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex0)) | v123(constB124, bitIndex0) | (~v121(constB123, bitIndex0))),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4880, 4879])).
% 134.82/85.49 tff(4882,plain,
% 134.82/85.49 ($false),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4881, 1708, 795, 3912, 4878, 4877])).
% 134.82/85.49 tff(4883,plain,(v123(constB124, bitIndex0) | (~v121(constB123, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.49 tff(4884,plain,
% 134.82/85.49 (~v121(constB123, bitIndex0)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4883, 4876])).
% 134.82/85.49 tff(4885,assumption,(~v121(constB123, bitIndex0)), introduced(assumption)).
% 134.82/85.49 tff(4886,assumption,(v124(constB123, bitIndex0)), introduced(assumption)).
% 134.82/85.49 tff(4887,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | v121(constB123, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | v121(constB123, bitIndex0))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4888,plain,
% 134.82/85.49 ((v26(constB123) | v121(constB123, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0))) <=> (v26(constB123) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | v121(constB123, bitIndex0))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4889,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | v121(constB123, bitIndex0)))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4888])).
% 134.82/85.49 tff(4890,plain,
% 134.82/85.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | v121(constB123, bitIndex0))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4889, 4887])).
% 134.82/85.49 tff(4891,plain,
% 134.82/85.49 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.49 inference(quant_inst,[status(thm)],[])).
% 134.82/85.49 tff(4892,plain,
% 134.82/85.49 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | v121(constB123, bitIndex0)),
% 134.82/85.49 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 134.82/85.49 tff(4893,plain,
% 134.82/85.49 ($false),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4892, 1728, 795, 3951, 4886, 4885])).
% 134.82/85.49 tff(4894,plain,(v121(constB123, bitIndex0) | (~v124(constB123, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.49 tff(4895,plain,
% 134.82/85.49 (~v124(constB123, bitIndex0)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4894, 4884])).
% 134.82/85.49 tff(4896,plain,
% 134.82/85.49 (~v84(constB124, bitIndex2)),
% 134.82/85.49 inference(unit_resolution,[status(thm)],[4444, 777, 767, 4429, 4441, 4422])).
% 134.82/85.49 tff(4897,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v84(constB124, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v84(constB124, bitIndex2))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4898,plain,
% 134.82/85.49 (((~less_3(bitIndex2)) | (~v94(constB124)) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2))) <=> ((~v94(constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v84(constB124, bitIndex2))),
% 134.82/85.49 inference(rewrite,[status(thm)],[])).
% 134.82/85.49 tff(4899,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB124)) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v84(constB124, bitIndex2)))),
% 134.82/85.49 inference(monotonicity,[status(thm)],[4898])).
% 134.82/85.49 tff(4900,plain,
% 134.82/85.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB124)) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v84(constB124, bitIndex2))),
% 134.82/85.49 inference(transitivity,[status(thm)],[4899, 4897])).
% 134.82/85.49 tff(4901,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB124)) | v84(constB124, bitIndex2) | (~v123(constB124, bitIndex2)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4902,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v84(constB124, bitIndex2)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 134.82/85.50 tff(4903,plain,
% 134.82/85.50 (~v123(constB124, bitIndex2)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4902, 1674, 767, 4832, 4896])).
% 134.82/85.50 tff(4904,assumption,(~v123(constB124, bitIndex2)), introduced(assumption)).
% 134.82/85.50 tff(4905,assumption,(v121(constB123, bitIndex2)), introduced(assumption)).
% 134.82/85.50 tff(4906,plain,
% 134.82/85.50 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex2)) | v123(constB124, bitIndex2) | (~v121(constB123, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex2)) | v123(constB124, bitIndex2) | (~v121(constB123, bitIndex2)))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4907,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex2)) | v123(constB124, bitIndex2) | (~v121(constB123, bitIndex2)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4908,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex2)) | v123(constB124, bitIndex2) | (~v121(constB123, bitIndex2))),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 134.82/85.50 tff(4909,plain,
% 134.82/85.50 ($false),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4908, 1708, 767, 3912, 4905, 4904])).
% 134.82/85.50 tff(4910,plain,(v123(constB124, bitIndex2) | (~v121(constB123, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.50 tff(4911,plain,
% 134.82/85.50 (~v121(constB123, bitIndex2)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4910, 4903])).
% 134.82/85.50 tff(4912,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex2)) | v121(constB123, bitIndex2) | (~v124(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex2)) | v121(constB123, bitIndex2) | (~v124(constB123, bitIndex2)))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4913,plain,
% 134.82/85.50 ((v26(constB123) | v121(constB123, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2))) <=> (v26(constB123) | (~less_3(bitIndex2)) | v121(constB123, bitIndex2) | (~v124(constB123, bitIndex2)))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4914,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex2)) | v121(constB123, bitIndex2) | (~v124(constB123, bitIndex2))))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4913])).
% 134.82/85.50 tff(4915,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex2)) | v121(constB123, bitIndex2) | (~v124(constB123, bitIndex2)))),
% 134.82/85.50 inference(transitivity,[status(thm)],[4914, 4912])).
% 134.82/85.50 tff(4916,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB123) | v121(constB123, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4917,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex2)) | v121(constB123, bitIndex2) | (~v124(constB123, bitIndex2))),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4916, 4915])).
% 134.82/85.50 tff(4918,plain,
% 134.82/85.50 (~v124(constB123, bitIndex2)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4917, 1728, 767, 3951, 4911])).
% 134.82/85.50 tff(4919,assumption,(~v124(constB123, bitIndex2)), introduced(assumption)).
% 134.82/85.50 tff(4920,assumption,(v172(constB123)), introduced(assumption)).
% 134.82/85.50 tff(4921,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB123)) | v124(constB123, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4922,plain,
% 134.82/85.50 (((~v172(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4923,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB123)) | v124(constB123, bitIndex2)))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4922])).
% 134.82/85.50 tff(4924,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(transitivity,[status(thm)],[4923, 4921])).
% 134.82/85.50 tff(4925,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b110(bitIndex2)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4926,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB123)) | v124(constB123, bitIndex2)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 134.82/85.50 tff(4927,plain,
% 134.82/85.50 ($false),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4926, 2066, 1798, 767, 4920, 4919])).
% 134.82/85.50 tff(4928,plain,(v124(constB123, bitIndex2) | (~v172(constB123))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.50 tff(4929,plain,
% 134.82/85.50 (~v172(constB123)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4928, 4918])).
% 134.82/85.50 tff(4930,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB123)) | v124(constB123, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4931,plain,
% 134.82/85.50 (((~v116(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4932,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB123)) | v124(constB123, bitIndex2)))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4931])).
% 134.82/85.50 tff(4933,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(transitivity,[status(thm)],[4932, 4930])).
% 134.82/85.50 tff(4934,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b100(bitIndex2)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4935,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB123)) | v124(constB123, bitIndex2)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 134.82/85.50 tff(4936,plain,
% 134.82/85.50 (~v116(constB123)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4935, 1772, 1769, 767, 4918])).
% 134.82/85.50 tff(4937,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB123)) | v124(constB123, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB123)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4938,plain,
% 134.82/85.50 (((~v115(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB123)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4939,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB123)) | v124(constB123, bitIndex1)))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4938])).
% 134.82/85.50 tff(4940,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB123)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(transitivity,[status(thm)],[4939, 4937])).
% 134.82/85.50 tff(4941,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b011(bitIndex1)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4942,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB123)) | v124(constB123, bitIndex1)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4941, 4940])).
% 134.82/85.50 tff(4943,plain,
% 134.82/85.50 (~v115(constB123)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4942, 3033, 1193, 823, 4850])).
% 134.82/85.50 tff(4944,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB123)) | v124(constB123, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4945,plain,
% 134.82/85.50 (((~v113(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4946,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB123)) | v124(constB123, bitIndex2)))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4945])).
% 134.82/85.50 tff(4947,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB123)) | v124(constB123, bitIndex2))),
% 134.82/85.50 inference(transitivity,[status(thm)],[4946, 4944])).
% 134.82/85.50 tff(4948,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB123)) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~b100(bitIndex2)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4949,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB123)) | v124(constB123, bitIndex2)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 134.82/85.50 tff(4950,plain,
% 134.82/85.50 (~v113(constB123)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4949, 1772, 1838, 767, 4918])).
% 134.82/85.50 tff(4951,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB123)) | (~b010(bitIndex1)) | v124(constB123, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB123)) | (~b010(bitIndex1)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4952,plain,
% 134.82/85.50 (((~v145(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB123)) | (~b010(bitIndex1)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4953,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB123)) | (~b010(bitIndex1)) | v124(constB123, bitIndex1)))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4952])).
% 134.82/85.50 tff(4954,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB123)) | (~b010(bitIndex1)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(transitivity,[status(thm)],[4953, 4951])).
% 134.82/85.50 tff(4955,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b010(bitIndex1)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4956,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB123)) | (~b010(bitIndex1)) | v124(constB123, bitIndex1)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4955, 4954])).
% 134.82/85.50 tff(4957,plain,
% 134.82/85.50 (~v145(constB123)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4956, 1821, 1818, 823, 4850])).
% 134.82/85.50 tff(4958,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB123) | v113(constB123) | (~b001(bitIndex0)) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | v124(constB123, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB123) | v113(constB123) | (~b001(bitIndex0)) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | v124(constB123, bitIndex0))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4959,plain,
% 134.82/85.50 ((v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB123) | v113(constB123) | (~b001(bitIndex0)) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | v124(constB123, bitIndex0))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4960,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB123) | v113(constB123) | (~b001(bitIndex0)) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | v124(constB123, bitIndex0)))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4959])).
% 134.82/85.50 tff(4961,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB123) | v113(constB123) | (~b001(bitIndex0)) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | v124(constB123, bitIndex0))),
% 134.82/85.50 inference(transitivity,[status(thm)],[4960, 4958])).
% 134.82/85.50 tff(4962,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~b001(bitIndex0)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4963,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB123) | v113(constB123) | (~b001(bitIndex0)) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | v124(constB123, bitIndex0)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 134.82/85.50 tff(4964,plain,
% 134.82/85.50 ($false),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4963, 1213, 1210, 795, 4957, 4950, 4943, 4936, 4929, 4895, 4857])).
% 134.82/85.50 tff(4965,plain,(v84(constB125, bitIndex1) | (~v94(constB124)) | v84(constB125, bitIndex2) | v145(constB125)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.50 tff(4966,plain,
% 134.82/85.50 (v84(constB125, bitIndex1)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4965, 4830, 4422, 4821])).
% 134.82/85.50 tff(4967,plain,
% 134.82/85.50 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB124, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB124, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4968,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB124, bitIndex1))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4969,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex1)) | (~v84(constB125, bitIndex1)) | v84(constB124, bitIndex1)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4968, 4967])).
% 134.82/85.50 tff(4970,plain,
% 134.82/85.50 (v84(constB124, bitIndex1)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4969, 805, 823, 4429, 4441, 4966])).
% 134.82/85.50 tff(4971,plain,
% 134.82/85.50 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB124)) | (~v84(constB124, bitIndex1)) | v123(constB124, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB124)) | (~v84(constB124, bitIndex1)) | v123(constB124, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4972,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB124)) | (~v84(constB124, bitIndex1)) | v123(constB124, bitIndex1))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4973,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB124)) | (~v84(constB124, bitIndex1)) | v123(constB124, bitIndex1)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4972, 4971])).
% 134.82/85.50 tff(4974,plain,
% 134.82/85.50 (v123(constB124, bitIndex1)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4973, 1344, 823, 4830, 4970])).
% 134.82/85.50 tff(4975,plain,
% 134.82/85.50 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v121(constB123, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v121(constB123, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4976,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v121(constB123, bitIndex1))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4977,plain,
% 134.82/85.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex1)) | (~v123(constB124, bitIndex1)) | v121(constB123, bitIndex1)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4976, 4975])).
% 134.82/85.50 tff(4978,plain,
% 134.82/85.50 (v121(constB123, bitIndex1)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4977, 1362, 823, 3912, 4974])).
% 134.82/85.50 tff(4979,assumption,(v121(constB123, bitIndex1)), introduced(assumption)).
% 134.82/85.50 tff(4980,assumption,(~v124(constB123, bitIndex1)), introduced(assumption)).
% 134.82/85.50 tff(4981,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex1)) | (~v121(constB123, bitIndex1)) | v124(constB123, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex1)) | (~v121(constB123, bitIndex1)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4982,plain,
% 134.82/85.50 ((v26(constB123) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~v121(constB123, bitIndex1))) <=> (v26(constB123) | (~less_3(bitIndex1)) | (~v121(constB123, bitIndex1)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4983,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~v121(constB123, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex1)) | (~v121(constB123, bitIndex1)) | v124(constB123, bitIndex1)))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4982])).
% 134.82/85.50 tff(4984,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~v121(constB123, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex1)) | (~v121(constB123, bitIndex1)) | v124(constB123, bitIndex1))),
% 134.82/85.50 inference(transitivity,[status(thm)],[4983, 4981])).
% 134.82/85.50 tff(4985,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~v121(constB123, bitIndex1)))),
% 134.82/85.50 inference(quant_inst,[status(thm)],[])).
% 134.82/85.50 tff(4986,plain,
% 134.82/85.50 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex1)) | (~v121(constB123, bitIndex1)) | v124(constB123, bitIndex1)),
% 134.82/85.50 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 134.82/85.50 tff(4987,plain,
% 134.82/85.50 ($false),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4986, 1380, 823, 3951, 4980, 4979])).
% 134.82/85.50 tff(4988,plain,((~v121(constB123, bitIndex1)) | v124(constB123, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.50 tff(4989,plain,
% 134.82/85.50 (v124(constB123, bitIndex1)),
% 134.82/85.50 inference(unit_resolution,[status(thm)],[4988, 4978])).
% 134.82/85.50 tff(4990,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB123)) | (~v124(constB123, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB123)) | (~v124(constB123, bitIndex1)))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4991,plain,
% 134.82/85.50 (((~v116(constB123)) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB123)) | (~v124(constB123, bitIndex1)))),
% 134.82/85.50 inference(rewrite,[status(thm)],[])).
% 134.82/85.50 tff(4992,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB123)) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB123)) | (~v124(constB123, bitIndex1))))),
% 134.82/85.50 inference(monotonicity,[status(thm)],[4991])).
% 134.82/85.50 tff(4993,plain,
% 134.82/85.50 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB123)) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB123)) | (~v124(constB123, bitIndex1)))),
% 134.82/85.51 inference(transitivity,[status(thm)],[4992, 4990])).
% 134.82/85.51 tff(4994,plain,
% 134.82/85.51 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB123)) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b100(bitIndex1))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(4995,plain,
% 134.82/85.51 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB123)) | (~v124(constB123, bitIndex1))),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[4994, 4993])).
% 134.82/85.51 tff(4996,plain,
% 134.82/85.51 ($false),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4995, 2167, 2164, 823, 4822, 4989])).
% 134.82/85.51 tff(4997,plain,((~v116(constB123)) | v84(constB125, bitIndex2) | v145(constB125)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.51 tff(4998,plain,
% 134.82/85.51 (~v116(constB123)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4997, 4422, 4821])).
% 134.82/85.51 tff(4999,plain,
% 134.82/85.51 (~v84(constB124, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4446, 4422])).
% 134.82/85.51 tff(5000,plain,
% 134.82/85.51 (v94(constB124)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4420, 4999, 4998])).
% 134.82/85.51 tff(5001,plain,
% 134.82/85.51 (v84(constB125, bitIndex1)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4965, 5000, 4422, 4821])).
% 134.82/85.51 tff(5002,assumption,(~v116(constB125)), introduced(assumption)).
% 134.82/85.51 tff(5003,plain,
% 134.82/85.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v116(constB125))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v116(constB125))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5004,plain,
% 134.82/85.51 (((~v84(constB125, bitIndex0)) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v116(constB125)) <=> ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v116(constB125))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5005,plain,
% 134.82/85.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB125, bitIndex0)) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v116(constB125))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v116(constB125)))),
% 134.82/85.51 inference(monotonicity,[status(thm)],[5004])).
% 134.82/85.51 tff(5006,plain,
% 134.82/85.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB125, bitIndex0)) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v116(constB125))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v116(constB125))),
% 134.82/85.51 inference(transitivity,[status(thm)],[5005, 5003])).
% 134.82/85.51 tff(5007,plain,
% 134.82/85.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB125, bitIndex0)) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v116(constB125))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5008,plain,
% 134.82/85.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v116(constB125)),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5007, 5006])).
% 134.82/85.51 tff(5009,plain,
% 134.82/85.51 ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1))),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5008, 1076, 5002])).
% 134.82/85.51 tff(5010,plain,
% 134.82/85.51 (~v84(constB125, bitIndex0)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5009, 5001, 4422])).
% 134.82/85.51 tff(5011,assumption,(~v115(constB125)), introduced(assumption)).
% 134.82/85.51 tff(5012,plain,
% 134.82/85.51 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v115(constB125))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v115(constB125))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5013,plain,
% 134.82/85.51 ((v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125)) <=> (v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v115(constB125))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5014,plain,
% 134.82/85.51 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v115(constB125)))),
% 134.82/85.51 inference(monotonicity,[status(thm)],[5013])).
% 134.82/85.51 tff(5015,plain,
% 134.82/85.51 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v115(constB125))),
% 134.82/85.51 inference(transitivity,[status(thm)],[5014, 5012])).
% 134.82/85.51 tff(5016,plain,
% 134.82/85.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex2) | v115(constB125))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5017,plain,
% 134.82/85.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v115(constB125)),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 134.82/85.51 tff(5018,plain,
% 134.82/85.51 (v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1))),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5017, 1095, 5011])).
% 134.82/85.51 tff(5019,plain,
% 134.82/85.51 ($false),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5018, 5010, 5001, 4422])).
% 134.82/85.51 tff(5020,plain,(v84(constB125, bitIndex2) | v115(constB125) | v116(constB125) | v145(constB125)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.51 tff(5021,plain,
% 134.82/85.51 (v145(constB125)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5020, 4820, 4816, 4805])).
% 134.82/85.51 tff(5022,plain,
% 134.82/85.51 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB125) | (~v145(constB125)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB125) | (~v145(constB125)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5023,plain,
% 134.82/85.51 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB125) | (~v145(constB125)))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5024,plain,
% 134.82/85.51 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB125) | (~v145(constB125))),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5023, 5022])).
% 134.82/85.51 tff(5025,plain,
% 134.82/85.51 ($false),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5024, 713, 5021, 4801])).
% 134.82/85.51 tff(5026,plain,(v94(constB126) | v84(constB126, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.51 tff(5027,plain,
% 134.82/85.51 (v84(constB126, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5026, 4738])).
% 134.82/85.51 tff(5028,assumption,(v84(constB126, bitIndex2)), introduced(assumption)).
% 134.82/85.51 tff(5029,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB126, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB126, bitIndex2)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5030,plain,
% 134.82/85.51 (((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB126, bitIndex2)) | v84(constB125, bitIndex2)) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB126, bitIndex2)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5031,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB126, bitIndex2)) | v84(constB125, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB126, bitIndex2))))),
% 134.82/85.51 inference(monotonicity,[status(thm)],[5030])).
% 134.82/85.51 tff(5032,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB126, bitIndex2)) | v84(constB125, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB126, bitIndex2)))),
% 134.82/85.51 inference(transitivity,[status(thm)],[5031, 5029])).
% 134.82/85.51 tff(5033,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | (~v84(constB126, bitIndex2)) | v84(constB125, bitIndex2))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5034,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex2)) | v84(constB125, bitIndex2) | (~v84(constB126, bitIndex2))),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 134.82/85.51 tff(5035,plain,
% 134.82/85.51 (v94(constB126) | v84(constB125, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5034, 805, 767, 4606, 5028])).
% 134.82/85.51 tff(5036,plain,
% 134.82/85.51 (v84(constB125, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5035, 4603])).
% 134.82/85.51 tff(5037,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB124, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB124, bitIndex2))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5038,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB124, bitIndex2))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5039,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB124, constB125)) | v94(constB125) | (~less_3(bitIndex2)) | (~v84(constB125, bitIndex2)) | v84(constB124, bitIndex2)),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5038, 5037])).
% 134.82/85.51 tff(5040,plain,
% 134.82/85.51 ($false),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5039, 805, 767, 4429, 4441, 3973, 4807])).
% 134.82/85.51 tff(5041,plain,((~v84(constB125, bitIndex2)) | v84(constB124, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.51 tff(5042,plain,
% 134.82/85.51 (v84(constB124, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5041, 5036])).
% 134.82/85.51 tff(5043,assumption,(v84(constB126, bitIndex0)), introduced(assumption)).
% 134.82/85.51 tff(5044,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB126, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB126, bitIndex0)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5045,plain,
% 134.82/85.51 (((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB126, bitIndex0)) | v84(constB125, bitIndex0)) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB126, bitIndex0)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5046,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB126, bitIndex0)) | v84(constB125, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB126, bitIndex0))))),
% 134.82/85.51 inference(monotonicity,[status(thm)],[5045])).
% 134.82/85.51 tff(5047,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB126, bitIndex0)) | v84(constB125, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB126, bitIndex0)))),
% 134.82/85.51 inference(transitivity,[status(thm)],[5046, 5044])).
% 134.82/85.51 tff(5048,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | (~v84(constB126, bitIndex0)) | v84(constB125, bitIndex0))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5049,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex0)) | v84(constB125, bitIndex0) | (~v84(constB126, bitIndex0))),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5048, 5047])).
% 134.82/85.51 tff(5050,plain,
% 134.82/85.51 (v94(constB126) | v84(constB125, bitIndex0)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5049, 805, 795, 4606, 5043])).
% 134.82/85.51 tff(5051,plain,
% 134.82/85.51 (v84(constB125, bitIndex0)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5050, 4603])).
% 134.82/85.51 tff(5052,plain,
% 134.82/85.51 ($false),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4559, 805, 795, 4429, 4441, 4471, 4672])).
% 134.82/85.51 tff(5053,plain,((~v84(constB125, bitIndex0)) | v84(constB124, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.51 tff(5054,plain,
% 134.82/85.51 (v84(constB124, bitIndex0)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5053, 5051])).
% 134.82/85.51 tff(5055,assumption,(v84(constB126, bitIndex1)), introduced(assumption)).
% 134.82/85.51 tff(5056,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB126, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB126, bitIndex1)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5057,plain,
% 134.82/85.51 (((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB126, bitIndex1)) | v84(constB125, bitIndex1)) <=> ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB126, bitIndex1)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5058,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB126, bitIndex1)) | v84(constB125, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB126, bitIndex1))))),
% 134.82/85.51 inference(monotonicity,[status(thm)],[5057])).
% 134.82/85.51 tff(5059,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB126, bitIndex1)) | v84(constB125, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB126, bitIndex1)))),
% 134.82/85.51 inference(transitivity,[status(thm)],[5058, 5056])).
% 134.82/85.51 tff(5060,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | (~v84(constB126, bitIndex1)) | v84(constB125, bitIndex1))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5061,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB125, constB126)) | v94(constB126) | (~less_3(bitIndex1)) | v84(constB125, bitIndex1) | (~v84(constB126, bitIndex1))),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5060, 5059])).
% 134.82/85.51 tff(5062,plain,
% 134.82/85.51 (v94(constB126) | v84(constB125, bitIndex1)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5061, 805, 823, 4606, 5055])).
% 134.82/85.51 tff(5063,plain,
% 134.82/85.51 (v84(constB125, bitIndex1)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5062, 4603])).
% 134.82/85.51 tff(5064,plain,
% 134.82/85.51 (v84(constB124, bitIndex1)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4969, 805, 823, 4429, 4441, 5063])).
% 134.82/85.51 tff(5065,plain,
% 134.82/85.51 ((~v94(constB124)) | v123(constB124, bitIndex1)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4973, 1344, 823, 4499])).
% 134.82/85.51 tff(5066,plain,
% 134.82/85.51 (v123(constB124, bitIndex1)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5065, 4832])).
% 134.82/85.51 tff(5067,plain,
% 134.82/85.51 (v121(constB123, bitIndex1)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4977, 1362, 823, 3912, 5066])).
% 134.82/85.51 tff(5068,plain,
% 134.82/85.51 (v124(constB123, bitIndex1)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[4988, 5067])).
% 134.82/85.51 tff(5069,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB124)) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB124)) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5070,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB124)) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5071,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB124)) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2)),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 134.82/85.51 tff(5072,plain,
% 134.82/85.51 ((~v94(constB124)) | v123(constB124, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5071, 1344, 767, 4423])).
% 134.82/85.51 tff(5073,plain,
% 134.82/85.51 (v123(constB124, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5072, 4832])).
% 134.82/85.51 tff(5074,assumption,(~v121(constB123, bitIndex2)), introduced(assumption)).
% 134.82/85.51 tff(5075,assumption,(v123(constB124, bitIndex2)), introduced(assumption)).
% 134.82/85.51 tff(5076,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v121(constB123, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v121(constB123, bitIndex2))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5077,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v121(constB123, bitIndex2))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5078,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex2)) | (~v123(constB124, bitIndex2)) | v121(constB123, bitIndex2)),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5077, 5076])).
% 134.82/85.51 tff(5079,plain,
% 134.82/85.51 ($false),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5078, 1362, 767, 3912, 5075, 5074])).
% 134.82/85.51 tff(5080,plain,((~v123(constB124, bitIndex2)) | v121(constB123, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.82/85.51 tff(5081,plain,
% 134.82/85.51 (v121(constB123, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5080, 5073])).
% 134.82/85.51 tff(5082,plain,
% 134.82/85.51 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex2)) | (~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex2)) | (~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5083,plain,
% 134.82/85.51 ((v26(constB123) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2))) <=> (v26(constB123) | (~less_3(bitIndex2)) | (~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5084,plain,
% 134.82/85.51 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex2)) | (~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2)))),
% 134.82/85.51 inference(monotonicity,[status(thm)],[5083])).
% 134.82/85.51 tff(5085,plain,
% 134.82/85.51 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex2)) | (~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2))),
% 134.82/85.51 inference(transitivity,[status(thm)],[5084, 5082])).
% 134.82/85.51 tff(5086,plain,
% 134.82/85.51 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex2)) | v124(constB123, bitIndex2) | (~v121(constB123, bitIndex2)))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5087,plain,
% 134.82/85.51 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex2)) | (~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2)),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 134.82/85.51 tff(5088,plain,
% 134.82/85.51 (v124(constB123, bitIndex2)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5087, 1380, 767, 3951, 5081])).
% 134.82/85.51 tff(5089,plain,
% 134.82/85.51 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB123)) | (~v124(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5090,plain,
% 134.82/85.51 (((~v118(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5091,plain,
% 134.82/85.51 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB123)) | (~v124(constB123, bitIndex2))))),
% 134.82/85.51 inference(monotonicity,[status(thm)],[5090])).
% 134.82/85.51 tff(5092,plain,
% 134.82/85.51 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.51 inference(transitivity,[status(thm)],[5091, 5089])).
% 134.82/85.51 tff(5093,plain,
% 134.82/85.51 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b011(bitIndex2))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5094,plain,
% 134.82/85.51 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB123)) | (~v124(constB123, bitIndex2))),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 134.82/85.51 tff(5095,plain,
% 134.82/85.51 (~v118(constB123)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5094, 2030, 2027, 767, 5088])).
% 134.82/85.51 tff(5096,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB124)) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB124)) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5097,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB124)) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5098,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB124)) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0)),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5097, 5096])).
% 134.82/85.51 tff(5099,plain,
% 134.82/85.51 ((~v94(constB124)) | v123(constB124, bitIndex0)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5098, 1344, 795, 4482])).
% 134.82/85.51 tff(5100,plain,
% 134.82/85.51 (v123(constB124, bitIndex0)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5099, 4832])).
% 134.82/85.51 tff(5101,plain,
% 134.82/85.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex0)) | (~v123(constB124, bitIndex0)) | v121(constB123, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex0)) | (~v123(constB124, bitIndex0)) | v121(constB123, bitIndex0))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5102,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB123, constB124)) | (~less_3(bitIndex0)) | (~v123(constB124, bitIndex0)) | v121(constB123, bitIndex0))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5103,plain,
% 134.82/85.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB123, constB124)) | (~less_3(bitIndex0)) | (~v123(constB124, bitIndex0)) | v121(constB123, bitIndex0)),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5102, 5101])).
% 134.82/85.51 tff(5104,plain,
% 134.82/85.51 (v121(constB123, bitIndex0)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5103, 1362, 795, 3912, 5100])).
% 134.82/85.51 tff(5105,plain,
% 134.82/85.51 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5106,plain,
% 134.82/85.51 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB123) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0)))),
% 134.82/85.51 inference(quant_inst,[status(thm)],[])).
% 134.82/85.51 tff(5107,plain,
% 134.82/85.51 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB123) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~v121(constB123, bitIndex0))),
% 134.82/85.51 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 134.82/85.51 tff(5108,plain,
% 134.82/85.51 (v124(constB123, bitIndex0)),
% 134.82/85.51 inference(unit_resolution,[status(thm)],[5107, 1380, 795, 3951, 5104])).
% 134.82/85.51 tff(5109,plain,
% 134.82/85.51 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB123)) | (~v124(constB123, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.51 inference(rewrite,[status(thm)],[])).
% 134.82/85.51 tff(5110,plain,
% 134.82/85.51 (((~v172(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5111,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB123)) | (~v124(constB123, bitIndex0))))),
% 134.82/85.52 inference(monotonicity,[status(thm)],[5110])).
% 134.82/85.52 tff(5112,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.52 inference(transitivity,[status(thm)],[5111, 5109])).
% 134.82/85.52 tff(5113,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b110(bitIndex0))),
% 134.82/85.52 inference(quant_inst,[status(thm)],[])).
% 134.82/85.52 tff(5114,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB123)) | (~v124(constB123, bitIndex0))),
% 134.82/85.52 inference(modus_ponens,[status(thm)],[5113, 5112])).
% 134.82/85.52 tff(5115,plain,
% 134.82/85.52 (~v172(constB123)),
% 134.82/85.52 inference(unit_resolution,[status(thm)],[5114, 1997, 1994, 795, 5108])).
% 134.82/85.52 tff(5116,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB123)) | (~v124(constB123, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5117,plain,
% 134.82/85.52 (((~v116(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5118,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB123)) | (~v124(constB123, bitIndex0))))),
% 134.82/85.52 inference(monotonicity,[status(thm)],[5117])).
% 134.82/85.52 tff(5119,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.52 inference(transitivity,[status(thm)],[5118, 5116])).
% 134.82/85.52 tff(5120,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b100(bitIndex0))),
% 134.82/85.52 inference(quant_inst,[status(thm)],[])).
% 134.82/85.52 tff(5121,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB123)) | (~v124(constB123, bitIndex0))),
% 134.82/85.52 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 134.82/85.52 tff(5122,plain,
% 134.82/85.52 (~v116(constB123)),
% 134.82/85.52 inference(unit_resolution,[status(thm)],[5121, 2386, 2164, 795, 5108])).
% 134.82/85.52 tff(5123,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB123)) | (~v124(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5124,plain,
% 134.82/85.52 (((~v115(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5125,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB123)) | (~v124(constB123, bitIndex2))))),
% 134.82/85.52 inference(monotonicity,[status(thm)],[5124])).
% 134.82/85.52 tff(5126,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.52 inference(transitivity,[status(thm)],[5125, 5123])).
% 134.82/85.52 tff(5127,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b011(bitIndex2))),
% 134.82/85.52 inference(quant_inst,[status(thm)],[])).
% 134.82/85.52 tff(5128,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB123)) | (~v124(constB123, bitIndex2))),
% 134.82/85.52 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 134.82/85.52 tff(5129,plain,
% 134.82/85.52 (~v115(constB123)),
% 134.82/85.52 inference(unit_resolution,[status(thm)],[5128, 2030, 2257, 767, 5088])).
% 134.82/85.52 tff(5130,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB123)) | (~v124(constB123, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5131,plain,
% 134.82/85.52 (((~v113(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5132,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB123)) | (~v124(constB123, bitIndex0))))),
% 134.82/85.52 inference(monotonicity,[status(thm)],[5131])).
% 134.82/85.52 tff(5133,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB123)) | (~v124(constB123, bitIndex0)))),
% 134.82/85.52 inference(transitivity,[status(thm)],[5132, 5130])).
% 134.82/85.52 tff(5134,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b100(bitIndex0))),
% 134.82/85.52 inference(quant_inst,[status(thm)],[])).
% 134.82/85.52 tff(5135,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB123)) | (~v124(constB123, bitIndex0))),
% 134.82/85.52 inference(modus_ponens,[status(thm)],[5134, 5133])).
% 134.82/85.52 tff(5136,plain,
% 134.82/85.52 (~v113(constB123)),
% 134.82/85.52 inference(unit_resolution,[status(thm)],[5135, 2386, 2186, 795, 5108])).
% 134.82/85.52 tff(5137,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB123)) | (~v124(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5138,plain,
% 134.82/85.52 (((~v145(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5139,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB123)) | (~v124(constB123, bitIndex2))))),
% 134.82/85.52 inference(monotonicity,[status(thm)],[5138])).
% 134.82/85.52 tff(5140,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB123)) | (~v124(constB123, bitIndex2)))),
% 134.82/85.52 inference(transitivity,[status(thm)],[5139, 5137])).
% 134.82/85.52 tff(5141,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB123)) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b010(bitIndex2))),
% 134.82/85.52 inference(quant_inst,[status(thm)],[])).
% 134.82/85.52 tff(5142,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB123)) | (~v124(constB123, bitIndex2))),
% 134.82/85.52 inference(modus_ponens,[status(thm)],[5141, 5140])).
% 134.82/85.52 tff(5143,plain,
% 134.82/85.52 (~v145(constB123)),
% 134.82/85.52 inference(unit_resolution,[status(thm)],[5142, 1419, 1416, 767, 5088])).
% 134.82/85.52 tff(5144,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex1)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5145,plain,
% 134.82/85.52 ((v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex1)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5146,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex1))))),
% 134.82/85.52 inference(monotonicity,[status(thm)],[5145])).
% 134.82/85.52 tff(5147,plain,
% 134.82/85.52 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex1)))),
% 134.82/85.52 inference(transitivity,[status(thm)],[5146, 5144])).
% 134.82/85.52 tff(5148,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b001(bitIndex1))),
% 134.82/85.52 inference(quant_inst,[status(thm)],[])).
% 134.82/85.52 tff(5149,plain,
% 134.82/85.52 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex1))),
% 134.82/85.52 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 134.82/85.52 tff(5150,plain,
% 134.82/85.52 ($false),
% 134.82/85.52 inference(unit_resolution,[status(thm)],[5149, 2601, 2424, 823, 5143, 5136, 5129, 5122, 5115, 5095, 5068])).
% 134.82/85.52 tff(5151,plain,((~v94(constB124)) | (~v84(constB124, bitIndex1)) | (~v84(constB124, bitIndex0)) | (~v84(constB124, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.82/85.52 tff(5152,plain,
% 134.82/85.52 (~v94(constB124)),
% 134.82/85.52 inference(unit_resolution,[status(thm)],[5151, 5064, 5054, 5042])).
% 134.82/85.52 tff(5153,plain,
% 134.82/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB123, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB123, bitIndex2)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5154,plain,
% 134.82/85.52 (((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB122, bitIndex2)) <=> ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB123, bitIndex2)))),
% 134.82/85.52 inference(rewrite,[status(thm)],[])).
% 134.82/85.52 tff(5155,plain,
% 134.82/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB122, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB123, bitIndex2))))),
% 134.88/85.52 inference(monotonicity,[status(thm)],[5154])).
% 134.88/85.52 tff(5156,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB122, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB123, bitIndex2)))),
% 134.88/85.52 inference(transitivity,[status(thm)],[5155, 5153])).
% 134.88/85.52 tff(5157,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | (~v84(constB123, bitIndex2)) | v84(constB122, bitIndex2))),
% 134.88/85.52 inference(quant_inst,[status(thm)],[])).
% 134.88/85.52 tff(5158,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex2)) | v84(constB122, bitIndex2) | (~v84(constB123, bitIndex2))),
% 134.88/85.52 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 134.88/85.52 tff(5159,plain,
% 134.88/85.52 ($false),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5158, 805, 767, 4086, 4098, 4277, 3974])).
% 134.88/85.52 tff(5160,plain,((~v84(constB123, bitIndex2)) | v84(constB122, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.52 tff(5161,plain,
% 134.88/85.52 (v84(constB122, bitIndex2)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5160, 4460])).
% 134.88/85.52 tff(5162,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB122, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB122, bitIndex0))),
% 134.88/85.52 inference(rewrite,[status(thm)],[])).
% 134.88/85.52 tff(5163,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB122, bitIndex0))),
% 134.88/85.52 inference(quant_inst,[status(thm)],[])).
% 134.88/85.52 tff(5164,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex0)) | (~v84(constB123, bitIndex0)) | v84(constB122, bitIndex0)),
% 134.88/85.52 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 134.88/85.52 tff(5165,plain,
% 134.88/85.52 (v84(constB122, bitIndex0)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5164, 805, 795, 4086, 4098, 4578])).
% 134.88/85.52 tff(5166,plain,
% 134.88/85.52 (v94(constB124) | v84(constB123, bitIndex1)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[4072, 805, 823, 3912, 4499])).
% 134.88/85.52 tff(5167,plain,
% 134.88/85.52 (v84(constB123, bitIndex1)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5166, 3906])).
% 134.88/85.52 tff(5168,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1)))),
% 134.88/85.52 inference(rewrite,[status(thm)],[])).
% 134.88/85.52 tff(5169,plain,
% 134.88/85.52 (((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB122, bitIndex1)) <=> ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1)))),
% 134.88/85.52 inference(rewrite,[status(thm)],[])).
% 134.88/85.52 tff(5170,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB122, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1))))),
% 134.88/85.52 inference(monotonicity,[status(thm)],[5169])).
% 134.88/85.52 tff(5171,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB122, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1)))),
% 134.88/85.52 inference(transitivity,[status(thm)],[5170, 5168])).
% 134.88/85.52 tff(5172,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | (~v84(constB123, bitIndex1)) | v84(constB122, bitIndex1))),
% 134.88/85.52 inference(quant_inst,[status(thm)],[])).
% 134.88/85.52 tff(5173,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB122, constB123)) | v94(constB123) | (~less_3(bitIndex1)) | v84(constB122, bitIndex1) | (~v84(constB123, bitIndex1))),
% 134.88/85.52 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 134.88/85.52 tff(5174,plain,
% 134.88/85.52 (v84(constB122, bitIndex1)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5173, 805, 823, 4086, 4098, 5167])).
% 134.88/85.52 tff(5175,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex2)) | (~v84(constB122, bitIndex2)) | v84(constB121, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex2)) | (~v84(constB122, bitIndex2)) | v84(constB121, bitIndex2))),
% 134.88/85.52 inference(rewrite,[status(thm)],[])).
% 134.88/85.52 tff(5176,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex2)) | (~v84(constB122, bitIndex2)) | v84(constB121, bitIndex2))),
% 134.88/85.52 inference(quant_inst,[status(thm)],[])).
% 134.88/85.52 tff(5177,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex2)) | (~v84(constB122, bitIndex2)) | v84(constB121, bitIndex2)),
% 134.88/85.52 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 134.88/85.52 tff(5178,plain,
% 134.88/85.52 (v94(constB122) | v84(constB121, bitIndex2)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5177, 805, 767, 4110, 4083])).
% 134.88/85.52 tff(5179,plain,
% 134.88/85.52 (v94(constB122)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5178, 4107])).
% 134.88/85.52 tff(5180,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB122)) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB122)) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1))),
% 134.88/85.52 inference(rewrite,[status(thm)],[])).
% 134.88/85.52 tff(5181,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB122)) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1))),
% 134.88/85.52 inference(quant_inst,[status(thm)],[])).
% 134.88/85.52 tff(5182,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB122)) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1)),
% 134.88/85.52 inference(modus_ponens,[status(thm)],[5181, 5180])).
% 134.88/85.52 tff(5183,plain,
% 134.88/85.52 ((~v94(constB122)) | v123(constB122, bitIndex1)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5182, 1344, 823, 4318])).
% 134.88/85.52 tff(5184,plain,
% 134.88/85.52 (v123(constB122, bitIndex1)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5183, 5179])).
% 134.88/85.52 tff(5185,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex1)) | (~v123(constB122, bitIndex1)) | v121(constB121, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex1)) | (~v123(constB122, bitIndex1)) | v121(constB121, bitIndex1))),
% 134.88/85.52 inference(rewrite,[status(thm)],[])).
% 134.88/85.52 tff(5186,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex1)) | (~v123(constB122, bitIndex1)) | v121(constB121, bitIndex1))),
% 134.88/85.52 inference(quant_inst,[status(thm)],[])).
% 134.88/85.52 tff(5187,plain,
% 134.88/85.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex1)) | (~v123(constB122, bitIndex1)) | v121(constB121, bitIndex1)),
% 134.88/85.52 inference(modus_ponens,[status(thm)],[5186, 5185])).
% 134.88/85.52 tff(5188,plain,
% 134.88/85.52 (v121(constB121, bitIndex1)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5187, 1362, 823, 4110, 5184])).
% 134.88/85.52 tff(5189,plain,
% 134.88/85.52 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))),
% 134.88/85.52 inference(rewrite,[status(thm)],[])).
% 134.88/85.52 tff(5190,plain,
% 134.88/85.52 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1)))),
% 134.88/85.52 inference(quant_inst,[status(thm)],[])).
% 134.88/85.52 tff(5191,plain,
% 134.88/85.52 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex1)) | v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1))),
% 134.88/85.52 inference(modus_ponens,[status(thm)],[5190, 5189])).
% 134.88/85.52 tff(5192,plain,
% 134.88/85.52 (v124(constB121, bitIndex1)),
% 134.88/85.52 inference(unit_resolution,[status(thm)],[5191, 1380, 823, 4156, 5188])).
% 134.88/85.52 tff(5193,plain,
% 134.88/85.52 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB122)) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB122)) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5194,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB122)) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5195,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB122)) | (~v84(constB122, bitIndex0)) | v123(constB122, bitIndex0)),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5194, 5193])).
% 134.88/85.53 tff(5196,plain,
% 134.88/85.53 ((~v94(constB122)) | v123(constB122, bitIndex0)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5195, 1344, 795, 4350])).
% 134.88/85.53 tff(5197,plain,
% 134.88/85.53 (v123(constB122, bitIndex0)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5196, 5179])).
% 134.88/85.53 tff(5198,plain,
% 134.88/85.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex0)) | (~v123(constB122, bitIndex0)) | v121(constB121, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex0)) | (~v123(constB122, bitIndex0)) | v121(constB121, bitIndex0))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5199,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex0)) | (~v123(constB122, bitIndex0)) | v121(constB121, bitIndex0))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5200,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex0)) | (~v123(constB122, bitIndex0)) | v121(constB121, bitIndex0)),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5199, 5198])).
% 134.88/85.53 tff(5201,plain,
% 134.88/85.53 (v121(constB121, bitIndex0)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5200, 1362, 795, 4110, 5197])).
% 134.88/85.53 tff(5202,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5203,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0)))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5204,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex0)) | v124(constB121, bitIndex0) | (~v121(constB121, bitIndex0))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 134.88/85.53 tff(5205,plain,
% 134.88/85.53 (v124(constB121, bitIndex0)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5204, 1380, 795, 4156, 5201])).
% 134.88/85.53 tff(5206,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB121)) | (~v124(constB121, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5207,plain,
% 134.88/85.53 (((~v113(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5208,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB121)) | (~v124(constB121, bitIndex0))))),
% 134.88/85.53 inference(monotonicity,[status(thm)],[5207])).
% 134.88/85.53 tff(5209,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.88/85.53 inference(transitivity,[status(thm)],[5208, 5206])).
% 134.88/85.53 tff(5210,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b100(bitIndex0))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5211,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB121)) | (~v124(constB121, bitIndex0))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5210, 5209])).
% 134.88/85.53 tff(5212,plain,
% 134.88/85.53 (~v113(constB121)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5211, 2386, 2186, 795, 5205])).
% 134.88/85.53 tff(5213,plain,
% 134.88/85.53 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB122)) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB122)) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5214,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB122)) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5215,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB122)) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2)),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5214, 5213])).
% 134.88/85.53 tff(5216,plain,
% 134.88/85.53 ((~v94(constB122)) | v123(constB122, bitIndex2)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5215, 1344, 767, 4083])).
% 134.88/85.53 tff(5217,plain,
% 134.88/85.53 (v123(constB122, bitIndex2)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5216, 5179])).
% 134.88/85.53 tff(5218,plain,
% 134.88/85.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5219,plain,
% 134.88/85.53 (((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | (~v123(constB122, bitIndex2)) | v121(constB121, bitIndex2)) <=> ((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5220,plain,
% 134.88/85.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | (~v123(constB122, bitIndex2)) | v121(constB121, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2))))),
% 134.88/85.53 inference(monotonicity,[status(thm)],[5219])).
% 134.88/85.53 tff(5221,plain,
% 134.88/85.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | (~v123(constB122, bitIndex2)) | v121(constB121, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2)))),
% 134.88/85.53 inference(transitivity,[status(thm)],[5220, 5218])).
% 134.88/85.53 tff(5222,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | (~v123(constB122, bitIndex2)) | v121(constB121, bitIndex2))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5223,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB121, constB122)) | (~less_3(bitIndex2)) | v121(constB121, bitIndex2) | (~v123(constB122, bitIndex2))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5222, 5221])).
% 134.88/85.53 tff(5224,plain,
% 134.88/85.53 (v121(constB121, bitIndex2)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5223, 1362, 767, 4110, 5217])).
% 134.88/85.53 tff(5225,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex2)) | (~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex2)) | (~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5226,plain,
% 134.88/85.53 ((v26(constB121) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2))) <=> (v26(constB121) | (~less_3(bitIndex2)) | (~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5227,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex2)) | (~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2)))),
% 134.88/85.53 inference(monotonicity,[status(thm)],[5226])).
% 134.88/85.53 tff(5228,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex2)) | (~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2))),
% 134.88/85.53 inference(transitivity,[status(thm)],[5227, 5225])).
% 134.88/85.53 tff(5229,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB121) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2)))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5230,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB121) | (~less_3(bitIndex2)) | (~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2)),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5229, 5228])).
% 134.88/85.53 tff(5231,plain,
% 134.88/85.53 (v124(constB121, bitIndex2)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5230, 1380, 767, 4156, 5224])).
% 134.88/85.53 tff(5232,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB121)) | (~v124(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5233,plain,
% 134.88/85.53 (((~v115(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5234,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB121)) | (~v124(constB121, bitIndex2))))),
% 134.88/85.53 inference(monotonicity,[status(thm)],[5233])).
% 134.88/85.53 tff(5235,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.88/85.53 inference(transitivity,[status(thm)],[5234, 5232])).
% 134.88/85.53 tff(5236,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b011(bitIndex2))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5237,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB121)) | (~v124(constB121, bitIndex2))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 134.88/85.53 tff(5238,plain,
% 134.88/85.53 (~v115(constB121)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5237, 2030, 2257, 767, 5231])).
% 134.88/85.53 tff(5239,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB121)) | (~v124(constB121, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5240,plain,
% 134.88/85.53 (((~v116(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5241,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB121)) | (~v124(constB121, bitIndex0))))),
% 134.88/85.53 inference(monotonicity,[status(thm)],[5240])).
% 134.88/85.53 tff(5242,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.88/85.53 inference(transitivity,[status(thm)],[5241, 5239])).
% 134.88/85.53 tff(5243,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b100(bitIndex0))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5244,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB121)) | (~v124(constB121, bitIndex0))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5243, 5242])).
% 134.88/85.53 tff(5245,plain,
% 134.88/85.53 (~v116(constB121)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5244, 2386, 2164, 795, 5205])).
% 134.88/85.53 tff(5246,plain,
% 134.88/85.53 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> (v84(VarCurr, bitIndex2) | (~v118(VarCurr))))),
% 134.88/85.53 inference(bind,[status(th)],[])).
% 134.88/85.53 tff(5247,plain,
% 134.88/85.53 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 134.88/85.53 inference(quant_intro,[status(thm)],[5246])).
% 134.88/85.53 tff(5248,plain,
% 134.88/85.53 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5249,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7_1_1_2')).
% 134.88/85.53 tff(5250,plain,
% 134.88/85.53 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5249, 5248])).
% 134.88/85.53 tff(5251,plain,(
% 134.88/85.53 ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 134.88/85.53 inference(skolemize,[status(sab)],[5250])).
% 134.88/85.53 tff(5252,plain,
% 134.88/85.53 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5251, 5247])).
% 134.88/85.53 tff(5253,plain,
% 134.88/85.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB121, bitIndex2) | (~v118(constB121)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB121, bitIndex2) | (~v118(constB121)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5254,plain,
% 134.88/85.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB121, bitIndex2) | (~v118(constB121)))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5255,plain,
% 134.88/85.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB121, bitIndex2) | (~v118(constB121))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5254, 5253])).
% 134.88/85.53 tff(5256,plain,
% 134.88/85.53 (~v118(constB121)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5255, 5252, 4107])).
% 134.88/85.53 tff(5257,plain,
% 134.88/85.53 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> (v84(VarCurr, bitIndex2) | (~v172(VarCurr))))),
% 134.88/85.53 inference(bind,[status(th)],[])).
% 134.88/85.53 tff(5258,plain,
% 134.88/85.53 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 134.88/85.53 inference(quant_intro,[status(thm)],[5257])).
% 134.88/85.53 tff(5259,plain,
% 134.88/85.53 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5260,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_2')).
% 134.88/85.53 tff(5261,plain,
% 134.88/85.53 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 134.88/85.53 tff(5262,plain,(
% 134.88/85.53 ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 134.88/85.53 inference(skolemize,[status(sab)],[5261])).
% 134.88/85.53 tff(5263,plain,
% 134.88/85.53 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5262, 5258])).
% 134.88/85.53 tff(5264,plain,
% 134.88/85.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB121, bitIndex2) | (~v172(constB121)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB121, bitIndex2) | (~v172(constB121)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5265,plain,
% 134.88/85.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB121, bitIndex2) | (~v172(constB121)))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5266,plain,
% 134.88/85.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB121, bitIndex2) | (~v172(constB121))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 134.88/85.53 tff(5267,plain,
% 134.88/85.53 (~v172(constB121)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5266, 5263, 4107])).
% 134.88/85.53 tff(5268,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB121)) | (~v124(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5269,plain,
% 134.88/85.53 (((~v145(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5270,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB121)) | (~v124(constB121, bitIndex2))))),
% 134.88/85.53 inference(monotonicity,[status(thm)],[5269])).
% 134.88/85.53 tff(5271,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.88/85.53 inference(transitivity,[status(thm)],[5270, 5268])).
% 134.88/85.53 tff(5272,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b010(bitIndex2))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5273,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB121)) | (~v124(constB121, bitIndex2))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 134.88/85.53 tff(5274,plain,
% 134.88/85.53 (~v145(constB121)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5273, 1419, 1416, 767, 5231])).
% 134.88/85.53 tff(5275,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex1)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5276,plain,
% 134.88/85.53 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex1)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5277,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex1))))),
% 134.88/85.53 inference(monotonicity,[status(thm)],[5276])).
% 134.88/85.53 tff(5278,plain,
% 134.88/85.53 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex1)))),
% 134.88/85.53 inference(transitivity,[status(thm)],[5277, 5275])).
% 134.88/85.53 tff(5279,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | b001(bitIndex1))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5280,plain,
% 134.88/85.53 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex1))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5279, 5278])).
% 134.88/85.53 tff(5281,plain,
% 134.88/85.53 ($false),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5280, 2601, 2424, 823, 5274, 5267, 5256, 5245, 5238, 5212, 5192])).
% 134.88/85.53 tff(5282,plain,(v84(constB121, bitIndex2) | (~v84(constB122, bitIndex1)) | (~v84(constB122, bitIndex0)) | (~v84(constB122, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.53 tff(5283,plain,
% 134.88/85.53 ($false),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5282, 5174, 5165, 4107, 5161])).
% 134.88/85.53 tff(5284,plain,(v94(constB124) | v84(constB121, bitIndex2) | (~v84(constB124, bitIndex1)) | (~v84(constB124, bitIndex0)) | (~v84(constB124, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.53 tff(5285,plain,
% 134.88/85.53 ($false),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5284, 5152, 5064, 4107, 5054, 5042])).
% 134.88/85.53 tff(5286,plain,(v94(constB126) | v84(constB121, bitIndex2) | (~v84(constB126, bitIndex2)) | (~v84(constB126, bitIndex0)) | (~v84(constB126, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.53 tff(5287,plain,
% 134.88/85.53 ($false),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5286, 5027, 4738, 4107, 4734, 4646])).
% 134.88/85.53 tff(5288,plain,(v94(constB124) | v84(constB121, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.53 tff(5289,plain,
% 134.88/85.53 (v84(constB121, bitIndex2)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5288, 3906])).
% 134.88/85.53 tff(5290,assumption,(~v84(constB120, bitIndex2)), introduced(assumption)).
% 134.88/85.53 tff(5291,assumption,(v84(constB121, bitIndex2)), introduced(assumption)).
% 134.88/85.53 tff(5292,plain,
% 134.88/85.53 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5293,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_120_1')).
% 134.88/85.53 tff(5294,plain,
% 134.88/85.53 (nextState(constB120, constB121)),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5293, 5292])).
% 134.88/85.53 tff(5295,plain,
% 134.88/85.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5296,plain,
% 134.88/85.53 (((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121)) <=> (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5297,plain,
% 134.88/85.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))))),
% 134.88/85.53 inference(monotonicity,[status(thm)],[5296])).
% 134.88/85.53 tff(5298,plain,
% 134.88/85.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121)))),
% 134.88/85.53 inference(transitivity,[status(thm)],[5297, 5295])).
% 134.88/85.53 tff(5299,plain,
% 134.88/85.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB120, constB121)) | (~v95(constB121)) | v1(constB121))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5300,plain,
% 134.88/85.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB121) | (~nextState(constB120, constB121)) | (~v95(constB121))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 134.88/85.53 tff(5301,plain,
% 134.88/85.53 (~v95(constB121)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5300, 742, 5294, 4117])).
% 134.88/85.53 tff(5302,plain,
% 134.88/85.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5303,plain,
% 134.88/85.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121)))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5304,plain,
% 134.88/85.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB120, constB121)) | v95(constB121) | (~v94(constB121))),
% 134.88/85.53 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 134.88/85.53 tff(5305,plain,
% 134.88/85.53 (v95(constB121) | (~v94(constB121))),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5304, 759, 5294])).
% 134.88/85.53 tff(5306,plain,
% 134.88/85.53 (~v94(constB121)),
% 134.88/85.53 inference(unit_resolution,[status(thm)],[5305, 5301])).
% 134.88/85.53 tff(5307,plain,
% 134.88/85.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex2)) | (~v84(constB121, bitIndex2)) | v84(constB120, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex2)) | (~v84(constB121, bitIndex2)) | v84(constB120, bitIndex2))),
% 134.88/85.53 inference(rewrite,[status(thm)],[])).
% 134.88/85.53 tff(5308,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex2)) | (~v84(constB121, bitIndex2)) | v84(constB120, bitIndex2))),
% 134.88/85.53 inference(quant_inst,[status(thm)],[])).
% 134.88/85.53 tff(5309,plain,
% 134.88/85.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex2)) | (~v84(constB121, bitIndex2)) | v84(constB120, bitIndex2)),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5308, 5307])).
% 134.88/85.54 tff(5310,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5309, 805, 767, 5294, 5306, 5291, 5290])).
% 134.88/85.54 tff(5311,plain,((~v84(constB121, bitIndex2)) | v84(constB120, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5312,plain,
% 134.88/85.54 (v84(constB120, bitIndex2)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5311, 5289])).
% 134.88/85.54 tff(5313,assumption,(v94(constB120)), introduced(assumption)).
% 134.88/85.54 tff(5314,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5173, 805, 823, 4086, 4098, 4106, 3997])).
% 134.88/85.54 tff(5315,plain,((~v84(constB123, bitIndex1)) | v84(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5316,plain,
% 134.88/85.54 (v84(constB122, bitIndex1)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5315, 4463])).
% 134.88/85.54 tff(5317,assumption,(v116(constB121)), introduced(assumption)).
% 134.88/85.54 tff(5318,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v116(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB121, bitIndex2)) | (~v116(constB121)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5319,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v116(constB121)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5320,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB121, bitIndex2)) | (~v116(constB121))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 134.88/85.54 tff(5321,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5320, 1130, 5291, 5317])).
% 134.88/85.54 tff(5322,plain,((~v116(constB121)) | (~v84(constB121, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5323,plain,
% 134.88/85.54 (~v116(constB121)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5322, 5289])).
% 134.88/85.54 tff(5324,assumption,(v145(constB121)), introduced(assumption)).
% 134.88/85.54 tff(5325,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB121)) | (~v84(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB121)) | (~v84(constB121, bitIndex2)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5326,plain,
% 134.88/85.54 (((~v84(constB121, bitIndex2)) | (~v145(constB121))) <=> ((~v145(constB121)) | (~v84(constB121, bitIndex2)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5327,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v145(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB121)) | (~v84(constB121, bitIndex2))))),
% 134.88/85.54 inference(monotonicity,[status(thm)],[5326])).
% 134.88/85.54 tff(5328,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v145(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB121)) | (~v84(constB121, bitIndex2)))),
% 134.88/85.54 inference(transitivity,[status(thm)],[5327, 5325])).
% 134.88/85.54 tff(5329,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v145(constB121)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5330,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB121)) | (~v84(constB121, bitIndex2))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5329, 5328])).
% 134.88/85.54 tff(5331,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5330, 725, 5324, 5291])).
% 134.88/85.54 tff(5332,plain,((~v145(constB121)) | (~v84(constB121, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5333,plain,
% 134.88/85.54 (~v145(constB121)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5332, 5289])).
% 134.88/85.54 tff(5334,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB121)) | (~v84(constB121, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB121)) | (~v84(constB121, bitIndex2)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5335,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB121)) | (~v84(constB121, bitIndex2)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5336,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB121)) | (~v84(constB121, bitIndex2))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 134.88/85.54 tff(5337,plain,
% 134.88/85.54 (~v113(constB121)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5336, 1119, 5289])).
% 134.88/85.54 tff(5338,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v115(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB121, bitIndex2)) | (~v115(constB121)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5339,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB121, bitIndex2)) | (~v115(constB121)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5340,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB121, bitIndex2)) | (~v115(constB121))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5339, 5338])).
% 134.88/85.54 tff(5341,plain,
% 134.88/85.54 (~v115(constB121)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5340, 2665, 5289])).
% 134.88/85.54 tff(5342,assumption,(v145(constB117)), introduced(assumption)).
% 134.88/85.54 tff(5343,assumption,(v84(constB117, bitIndex1)), introduced(assumption)).
% 134.88/85.54 tff(5344,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB117)) | (~v84(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB117)) | (~v84(constB117, bitIndex1)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5345,plain,
% 134.88/85.54 (((~v84(constB117, bitIndex1)) | (~v145(constB117))) <=> ((~v145(constB117)) | (~v84(constB117, bitIndex1)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5346,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB117, bitIndex1)) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB117)) | (~v84(constB117, bitIndex1))))),
% 134.88/85.54 inference(monotonicity,[status(thm)],[5345])).
% 134.88/85.54 tff(5347,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB117, bitIndex1)) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB117)) | (~v84(constB117, bitIndex1)))),
% 134.88/85.54 inference(transitivity,[status(thm)],[5346, 5344])).
% 134.88/85.54 tff(5348,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB117, bitIndex1)) | (~v145(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5349,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB117)) | (~v84(constB117, bitIndex1))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 134.88/85.54 tff(5350,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5349, 816, 5342, 5343])).
% 134.88/85.54 tff(5351,plain,((~v145(constB117)) | (~v84(constB117, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5352,plain,
% 134.88/85.54 (~v84(constB117, bitIndex1)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5351, 5342])).
% 134.88/85.54 tff(5353,assumption,(~v84(constB117, bitIndex1)), introduced(assumption)).
% 134.88/85.54 tff(5354,assumption,(~v107(constB117)), introduced(assumption)).
% 134.88/85.54 tff(5355,assumption,(v84(constB117, bitIndex2)), introduced(assumption)).
% 134.88/85.54 tff(5356,assumption,(~v84(constB117, bitIndex0)), introduced(assumption)).
% 134.88/85.54 tff(5357,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB117) | (~v119(constB117)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB117) | (~v119(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5358,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB117) | (~v119(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5359,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB117) | (~v119(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5358, 5357])).
% 134.88/85.54 tff(5360,plain,
% 134.88/85.54 (~v119(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5359, 1927, 5354])).
% 134.88/85.54 tff(5361,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB117, bitIndex0) | v119(constB117) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB117, bitIndex0) | v119(constB117) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5362,plain,
% 134.88/85.54 ((v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2)) | v119(constB117)) <=> (v84(constB117, bitIndex0) | v119(constB117) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5363,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2)) | v119(constB117))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB117, bitIndex0) | v119(constB117) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2))))),
% 134.88/85.54 inference(monotonicity,[status(thm)],[5362])).
% 134.88/85.54 tff(5364,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2)) | v119(constB117))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB117, bitIndex0) | v119(constB117) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2)))),
% 134.88/85.54 inference(transitivity,[status(thm)],[5363, 5361])).
% 134.88/85.54 tff(5365,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2)) | v119(constB117))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5366,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB117, bitIndex0) | v119(constB117) | (~v84(constB117, bitIndex1)) | (~v84(constB117, bitIndex2))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5365, 5364])).
% 134.88/85.54 tff(5367,plain,
% 134.88/85.54 (v84(constB117, bitIndex0) | v119(constB117) | (~v84(constB117, bitIndex1))),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5366, 1910, 5355])).
% 134.88/85.54 tff(5368,plain,
% 134.88/85.54 (~v84(constB117, bitIndex1)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5367, 5360, 5356])).
% 134.88/85.54 tff(5369,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5370,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5371,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v172(constB117)),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5370, 5369])).
% 134.88/85.54 tff(5372,plain,
% 134.88/85.54 (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v172(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5371, 1047, 5355])).
% 134.88/85.54 tff(5373,plain,
% 134.88/85.54 (v172(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5372, 5368, 5356])).
% 134.88/85.54 tff(5374,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB117) | (~v108(constB117)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB117) | (~v108(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5375,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB117) | (~v108(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5376,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB117) | (~v108(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 134.88/85.54 tff(5377,plain,
% 134.88/85.54 (~v108(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5376, 658, 5354])).
% 134.88/85.54 tff(5378,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB117) | (~v109(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB117) | (~v109(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5379,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB117) | (~v109(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5380,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB117) | (~v109(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 134.88/85.54 tff(5381,plain,
% 134.88/85.54 (~v109(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5380, 669, 5377])).
% 134.88/85.54 tff(5382,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB117) | (~v172(constB117)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB117) | (~v172(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5383,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB117) | (~v172(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5384,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB117) | (~v172(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5383, 5382])).
% 134.88/85.54 tff(5385,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5384, 1033, 5381, 5373])).
% 134.88/85.54 tff(5386,plain,(v107(constB117) | v84(constB117, bitIndex0) | (~v84(constB117, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5387,plain,
% 134.88/85.54 (v84(constB117, bitIndex0)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5386, 5355, 5354])).
% 134.88/85.54 tff(5388,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB117) | (~v118(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB117) | (~v118(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5389,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB117) | (~v118(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5390,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB117) | (~v118(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5389, 5388])).
% 134.88/85.54 tff(5391,plain,
% 134.88/85.54 (~v118(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5390, 1004, 5377])).
% 134.88/85.54 tff(5392,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex2)) | v118(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex2)) | v118(constB117))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5393,plain,
% 134.88/85.54 (((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v118(constB117)) <=> (v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex2)) | v118(constB117))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5394,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v118(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex2)) | v118(constB117)))),
% 134.88/85.54 inference(monotonicity,[status(thm)],[5393])).
% 134.88/85.54 tff(5395,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v118(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex2)) | v118(constB117))),
% 134.88/85.54 inference(transitivity,[status(thm)],[5394, 5392])).
% 134.88/85.54 tff(5396,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v118(constB117))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5397,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex2)) | v118(constB117)),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5396, 5395])).
% 134.88/85.54 tff(5398,plain,
% 134.88/85.54 ((~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex2))),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5397, 1018, 5353, 5391])).
% 134.88/85.54 tff(5399,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5398, 5387, 5355])).
% 134.88/85.54 tff(5400,plain,((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v107(constB117)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5401,plain,
% 134.88/85.54 (~v84(constB117, bitIndex2)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5400, 5353, 5354])).
% 134.88/85.54 tff(5402,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB117) | (~v110(constB117)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB117) | (~v110(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5403,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB117) | (~v110(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5404,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB117) | (~v110(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5403, 5402])).
% 134.88/85.54 tff(5405,plain,
% 134.88/85.54 (~v110(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5404, 680, 5381])).
% 134.88/85.54 tff(5406,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB117) | (~v111(constB117)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB117) | (~v111(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5407,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB117) | (~v111(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5408,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB117) | (~v111(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5407, 5406])).
% 134.88/85.54 tff(5409,plain,
% 134.88/85.54 (~v111(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5408, 691, 5405])).
% 134.88/85.54 tff(5410,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB117) | (~v112(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5411,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB117) | (~v112(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5412,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB117) | (~v112(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5411, 5410])).
% 134.88/85.54 tff(5413,plain,
% 134.88/85.54 (~v112(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5412, 702, 5409])).
% 134.88/85.54 tff(5414,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB117) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB117) | (~v145(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5415,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB117) | (~v145(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5416,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB117) | (~v145(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 134.88/85.54 tff(5417,plain,
% 134.88/85.54 (~v145(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5416, 713, 5413])).
% 134.88/85.54 tff(5418,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB117) | v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB117) | v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5419,plain,
% 134.88/85.54 (((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117)) <=> (v145(constB117) | v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5420,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB117) | v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))))),
% 134.88/85.54 inference(monotonicity,[status(thm)],[5419])).
% 134.88/85.54 tff(5421,plain,
% 134.88/85.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB117) | v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)))),
% 134.88/85.54 inference(transitivity,[status(thm)],[5420, 5418])).
% 134.88/85.54 tff(5422,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB117, bitIndex0)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | v145(constB117))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5423,plain,
% 134.88/85.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB117) | v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5422, 5421])).
% 134.88/85.54 tff(5424,plain,
% 134.88/85.54 (v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5423, 865, 5417])).
% 134.88/85.54 tff(5425,plain,
% 134.88/85.54 (~v84(constB117, bitIndex0)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5424, 5401, 5353])).
% 134.88/85.54 tff(5426,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB117) | (~v113(constB117)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB117) | (~v113(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5427,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB117) | (~v113(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5428,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB117) | (~v113(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 134.88/85.54 tff(5429,plain,
% 134.88/85.54 (~v113(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5428, 969, 5413])).
% 134.88/85.54 tff(5430,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5431,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5432,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2)),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 134.88/85.54 tff(5433,plain,
% 134.88/85.54 (v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | v84(constB117, bitIndex2)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5432, 983, 5429])).
% 134.88/85.54 tff(5434,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5433, 5425, 5401, 5353])).
% 134.88/85.54 tff(5435,plain,(v84(constB117, bitIndex1) | v107(constB117)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5436,plain,
% 134.88/85.54 (v107(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5435, 5352])).
% 134.88/85.54 tff(5437,assumption,(v26(constB117)), introduced(assumption)).
% 134.88/85.54 tff(5438,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5439,plain,
% 134.88/85.54 ($false),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5438, 1172, 5437])).
% 134.88/85.54 tff(5440,plain,(~v26(constB117)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.54 tff(5441,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | v106(constB117) | (~v107(constB117)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | v106(constB117) | (~v107(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5442,plain,
% 134.88/85.54 ((v26(constB117) | (~v107(constB117)) | v106(constB117)) <=> (v26(constB117) | v106(constB117) | (~v107(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5443,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | v106(constB117) | (~v107(constB117))))),
% 134.88/85.54 inference(monotonicity,[status(thm)],[5442])).
% 134.88/85.54 tff(5444,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | v106(constB117) | (~v107(constB117)))),
% 134.88/85.54 inference(transitivity,[status(thm)],[5443, 5441])).
% 134.88/85.54 tff(5445,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB117) | (~v107(constB117)) | v106(constB117))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5446,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB117) | v106(constB117) | (~v107(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 134.88/85.54 tff(5447,plain,
% 134.88/85.54 (v106(constB117) | (~v107(constB117))),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5446, 644, 5440])).
% 134.88/85.54 tff(5448,plain,
% 134.88/85.54 (v106(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5447, 5436])).
% 134.88/85.54 tff(5449,plain,
% 134.88/85.54 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB117) | (~v106(constB117)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB117) | (~v106(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5450,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB117) | (~v106(constB117)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5451,plain,
% 134.88/85.54 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB117) | (~v106(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5450, 5449])).
% 134.88/85.54 tff(5452,plain,
% 134.88/85.54 (v102(constB117)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5451, 619, 5448])).
% 134.88/85.54 tff(5453,plain,
% 134.88/85.54 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5454,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_117_1')).
% 134.88/85.54 tff(5455,plain,
% 134.88/85.54 (nextState(constB117, constB118)),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 134.88/85.54 tff(5456,plain,
% 134.88/85.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5457,plain,
% 134.88/85.54 (((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118)) <=> ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5458,plain,
% 134.88/85.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))))),
% 134.88/85.54 inference(monotonicity,[status(thm)],[5457])).
% 134.88/85.54 tff(5459,plain,
% 134.88/85.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117)))),
% 134.88/85.54 inference(transitivity,[status(thm)],[5458, 5456])).
% 134.88/85.54 tff(5460,plain,
% 134.88/85.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB117, constB118)) | (~v102(constB117)) | v104(constB118))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5461,plain,
% 134.88/85.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v102(constB117))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 134.88/85.54 tff(5462,plain,
% 134.88/85.54 (v104(constB118) | (~v102(constB117))),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5461, 604, 5455])).
% 134.88/85.54 tff(5463,plain,
% 134.88/85.54 (v104(constB118)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5462, 5452])).
% 134.88/85.54 tff(5464,plain,
% 134.88/85.54 ((~v1(constB117)) <=> (~v1(constB117))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5465,axiom,(~v1(constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_117_1_1')).
% 134.88/85.54 tff(5466,plain,
% 134.88/85.54 (~v1(constB117)),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5465, 5464])).
% 134.88/85.54 tff(5467,plain,
% 134.88/85.54 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5468,plain,
% 134.88/85.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5469,plain,
% 134.88/85.54 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB117) | (~nextState(constB117, constB118)) | (~v98(constB118))),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 134.88/85.54 tff(5470,plain,
% 134.88/85.54 (~v98(constB118)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5469, 541, 5455, 5466])).
% 134.88/85.54 tff(5471,plain,
% 134.88/85.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5472,plain,
% 134.88/85.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB117, constB118)) | v96(constB118) | v98(constB118))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5473,plain,
% 134.88/85.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB117, constB118)) | v96(constB118) | v98(constB118)),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5472, 5471])).
% 134.88/85.54 tff(5474,plain,
% 134.88/85.54 (v96(constB118) | v98(constB118)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5473, 555, 5455])).
% 134.88/85.54 tff(5475,plain,
% 134.88/85.54 (v96(constB118)),
% 134.88/85.54 inference(unit_resolution,[status(thm)],[5474, 5470])).
% 134.88/85.54 tff(5476,plain,
% 134.88/85.54 (v1(constB118) <=> v1(constB118)),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5477,axiom,(v1(constB118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_118_1')).
% 134.88/85.54 tff(5478,plain,
% 134.88/85.54 (v1(constB118)),
% 134.88/85.54 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 134.88/85.54 tff(5479,plain,
% 134.88/85.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 134.88/85.54 inference(rewrite,[status(thm)],[])).
% 134.88/85.54 tff(5480,plain,
% 134.88/85.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118)))),
% 134.88/85.54 inference(quant_inst,[status(thm)],[])).
% 134.88/85.54 tff(5481,plain,
% 134.88/85.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB117, constB118)) | v95(constB118) | (~v96(constB118)) | (~v1(constB118))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5480, 5479])).
% 134.88/85.55 tff(5482,plain,
% 134.88/85.55 (v95(constB118) | (~v96(constB118))),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5481, 573, 5455, 5478])).
% 134.88/85.55 tff(5483,plain,
% 134.88/85.55 (v95(constB118)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5482, 5475])).
% 134.88/85.55 tff(5484,plain,
% 134.88/85.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5485,plain,
% 134.88/85.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5486,plain,
% 134.88/85.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB117, constB118)) | (~v95(constB118)) | (~v104(constB118)) | v94(constB118)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5485, 5484])).
% 134.88/85.55 tff(5487,plain,
% 134.88/85.55 ((~v95(constB118)) | (~v104(constB118)) | v94(constB118)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5486, 588, 5455])).
% 134.88/85.55 tff(5488,plain,
% 134.88/85.55 ((~v104(constB118)) | v94(constB118)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5487, 5483])).
% 134.88/85.55 tff(5489,plain,
% 134.88/85.55 (v94(constB118)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5488, 5463])).
% 134.88/85.55 tff(5490,assumption,(v124(constB117, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5491,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB117)) | (~v124(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5492,plain,
% 134.88/85.55 (((~v145(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5493,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB117)) | (~v124(constB117, bitIndex0))))),
% 134.88/85.55 inference(monotonicity,[status(thm)],[5492])).
% 134.88/85.55 tff(5494,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.88/85.55 inference(transitivity,[status(thm)],[5493, 5491])).
% 134.88/85.55 tff(5495,plain,
% 134.88/85.55 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b010(bitIndex0))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5496,plain,
% 134.88/85.55 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB117)) | (~v124(constB117, bitIndex0))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5495, 5494])).
% 134.88/85.55 tff(5497,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5496, 2299, 1416, 795, 5342, 5490])).
% 134.88/85.55 tff(5498,plain,((~v124(constB117, bitIndex0)) | (~v145(constB117))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5499,plain,
% 134.88/85.55 (~v124(constB117, bitIndex0)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5498, 5342])).
% 134.88/85.55 tff(5500,assumption,(~v124(constB117, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5501,assumption,(v121(constB117, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5502,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex0)) | (~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex0)) | (~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5503,plain,
% 134.88/85.55 ((v26(constB117) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0))) <=> (v26(constB117) | (~less_3(bitIndex0)) | (~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5504,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex0)) | (~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0)))),
% 134.88/85.55 inference(monotonicity,[status(thm)],[5503])).
% 134.88/85.55 tff(5505,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex0)) | (~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0))),
% 134.88/85.55 inference(transitivity,[status(thm)],[5504, 5502])).
% 134.88/85.55 tff(5506,plain,
% 134.88/85.55 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~v121(constB117, bitIndex0)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5507,plain,
% 134.88/85.55 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex0)) | (~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 134.88/85.55 tff(5508,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5507, 1380, 795, 5440, 5501, 5500])).
% 134.88/85.55 tff(5509,plain,((~v121(constB117, bitIndex0)) | v124(constB117, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5510,plain,
% 134.88/85.55 (~v121(constB117, bitIndex0)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5509, 5499])).
% 134.88/85.55 tff(5511,assumption,(v123(constB118, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5512,assumption,(~v121(constB117, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5513,plain,
% 134.88/85.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v121(constB117, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v121(constB117, bitIndex0))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5514,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v121(constB117, bitIndex0))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5515,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v121(constB117, bitIndex0)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 134.88/85.55 tff(5516,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5515, 1362, 795, 5455, 5512, 5511])).
% 134.88/85.55 tff(5517,plain,((~v123(constB118, bitIndex0)) | v121(constB117, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5518,plain,
% 134.88/85.55 (~v123(constB118, bitIndex0)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5517, 5510])).
% 134.88/85.55 tff(5519,assumption,(~v123(constB118, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5520,assumption,(v84(constB118, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5521,assumption,(v94(constB118)), introduced(assumption)).
% 134.88/85.55 tff(5522,plain,
% 134.88/85.55 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB118)) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB118)) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5523,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB118)) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5524,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB118)) | (~v84(constB118, bitIndex0)) | v123(constB118, bitIndex0)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 134.88/85.55 tff(5525,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5524, 1344, 795, 5521, 5520, 5519])).
% 134.88/85.55 tff(5526,plain,((~v84(constB118, bitIndex0)) | (~v94(constB118)) | v123(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5527,plain,
% 134.88/85.55 (~v84(constB118, bitIndex0)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5526, 5489, 5518])).
% 134.88/85.55 tff(5528,assumption,(~v124(constB117, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5529,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB117)) | (~b010(bitIndex1)) | v124(constB117, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB117)) | (~b010(bitIndex1)) | v124(constB117, bitIndex1))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5530,plain,
% 134.88/85.55 (((~v145(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB117)) | (~b010(bitIndex1)) | v124(constB117, bitIndex1))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5531,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB117)) | (~b010(bitIndex1)) | v124(constB117, bitIndex1)))),
% 134.88/85.55 inference(monotonicity,[status(thm)],[5530])).
% 134.88/85.55 tff(5532,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB117)) | (~b010(bitIndex1)) | v124(constB117, bitIndex1))),
% 134.88/85.55 inference(transitivity,[status(thm)],[5531, 5529])).
% 134.88/85.55 tff(5533,plain,
% 134.88/85.55 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b010(bitIndex1)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5534,plain,
% 134.88/85.55 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB117)) | (~b010(bitIndex1)) | v124(constB117, bitIndex1)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5533, 5532])).
% 134.88/85.55 tff(5535,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5534, 1821, 1818, 823, 5342, 5528])).
% 134.88/85.55 tff(5536,plain,(v124(constB117, bitIndex1) | (~v145(constB117))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5537,plain,
% 134.88/85.55 (v124(constB117, bitIndex1)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5536, 5342])).
% 134.88/85.55 tff(5538,assumption,(~v121(constB117, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5539,assumption,(v124(constB117, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5540,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5541,plain,
% 134.88/85.55 ((v26(constB117) | v121(constB117, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1))) <=> (v26(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5542,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1)))),
% 134.88/85.55 inference(monotonicity,[status(thm)],[5541])).
% 134.88/85.55 tff(5543,plain,
% 134.88/85.55 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1))),
% 134.88/85.55 inference(transitivity,[status(thm)],[5542, 5540])).
% 134.88/85.55 tff(5544,plain,
% 134.88/85.55 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5545,plain,
% 134.88/85.55 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | v121(constB117, bitIndex1)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5544, 5543])).
% 134.88/85.55 tff(5546,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5545, 1728, 823, 5440, 5539, 5538])).
% 134.88/85.55 tff(5547,plain,(v121(constB117, bitIndex1) | (~v124(constB117, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5548,plain,
% 134.88/85.55 (v121(constB117, bitIndex1)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5547, 5537])).
% 134.88/85.55 tff(5549,assumption,(~v123(constB118, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5550,assumption,(v121(constB117, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5551,plain,
% 134.88/85.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex1)) | v123(constB118, bitIndex1) | (~v121(constB117, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex1)) | v123(constB118, bitIndex1) | (~v121(constB117, bitIndex1)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5552,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex1)) | v123(constB118, bitIndex1) | (~v121(constB117, bitIndex1)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5553,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex1)) | v123(constB118, bitIndex1) | (~v121(constB117, bitIndex1))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5552, 5551])).
% 134.88/85.55 tff(5554,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5553, 1708, 823, 5455, 5550, 5549])).
% 134.88/85.55 tff(5555,plain,(v123(constB118, bitIndex1) | (~v121(constB117, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5556,plain,
% 134.88/85.55 (v123(constB118, bitIndex1)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5555, 5548])).
% 134.88/85.55 tff(5557,assumption,(v123(constB118, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5558,assumption,(~v84(constB118, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5559,plain,
% 134.88/85.55 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB118)) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5560,plain,
% 134.88/85.55 (((~less_3(bitIndex1)) | (~v94(constB118)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1))) <=> ((~v94(constB118)) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5561,plain,
% 134.88/85.55 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB118)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB118)) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1))))),
% 134.88/85.55 inference(monotonicity,[status(thm)],[5560])).
% 134.88/85.55 tff(5562,plain,
% 134.88/85.55 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB118)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)))),
% 134.88/85.55 inference(transitivity,[status(thm)],[5561, 5559])).
% 134.88/85.55 tff(5563,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB118)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5564,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v123(constB118, bitIndex1))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 134.88/85.55 tff(5565,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5564, 1674, 823, 5521, 5558, 5557])).
% 134.88/85.55 tff(5566,plain,(v84(constB118, bitIndex1) | (~v94(constB118)) | (~v123(constB118, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5567,plain,
% 134.88/85.55 (v84(constB118, bitIndex1)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5566, 5489, 5556])).
% 134.88/85.55 tff(5568,assumption,(v84(constB118, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5569,assumption,(~v84(constB119, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5570,plain,
% 134.88/85.55 ((~v1(constB119)) <=> (~v1(constB119))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5571,axiom,(~v1(constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_119_1_1')).
% 134.88/85.55 tff(5572,plain,
% 134.88/85.55 (~v1(constB119)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 134.88/85.55 tff(5573,plain,
% 134.88/85.55 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5574,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_118_1')).
% 134.88/85.55 tff(5575,plain,
% 134.88/85.55 (nextState(constB118, constB119)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 134.88/85.55 tff(5576,plain,
% 134.88/85.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5577,plain,
% 134.88/85.55 (((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119)) <=> (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5578,plain,
% 134.88/85.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))))),
% 134.88/85.55 inference(monotonicity,[status(thm)],[5577])).
% 134.88/85.55 tff(5579,plain,
% 134.88/85.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119)))),
% 134.88/85.55 inference(transitivity,[status(thm)],[5578, 5576])).
% 134.88/85.55 tff(5580,plain,
% 134.88/85.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB118, constB119)) | (~v95(constB119)) | v1(constB119))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5581,plain,
% 134.88/85.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB119) | (~nextState(constB118, constB119)) | (~v95(constB119))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5580, 5579])).
% 134.88/85.55 tff(5582,plain,
% 134.88/85.55 (~v95(constB119)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5581, 742, 5575, 5572])).
% 134.88/85.55 tff(5583,plain,
% 134.88/85.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5584,plain,
% 134.88/85.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5585,plain,
% 134.88/85.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB118, constB119)) | v95(constB119) | (~v94(constB119))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5584, 5583])).
% 134.88/85.55 tff(5586,plain,
% 134.88/85.55 (v95(constB119) | (~v94(constB119))),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5585, 759, 5575])).
% 134.88/85.55 tff(5587,plain,
% 134.88/85.55 (~v94(constB119)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5586, 5582])).
% 134.88/85.55 tff(5588,plain,
% 134.88/85.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB118, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB118, bitIndex1)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5589,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB118, bitIndex1)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5590,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB118, bitIndex1))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5589, 5588])).
% 134.88/85.55 tff(5591,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5590, 777, 823, 5575, 5587, 5569, 5568])).
% 134.88/85.55 tff(5592,plain,(v84(constB119, bitIndex1) | (~v84(constB118, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5593,plain,
% 134.88/85.55 (v84(constB119, bitIndex1)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5592, 5567])).
% 134.88/85.55 tff(5594,assumption,(v84(constB120, bitIndex2)), introduced(assumption)).
% 134.88/85.55 tff(5595,assumption,(~v84(constB118, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5596,assumption,(v84(constB119, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5597,plain,
% 134.88/85.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB118, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB118, bitIndex0))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5598,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB118, bitIndex0))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5599,plain,
% 134.88/85.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB118, bitIndex0)),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5598, 5597])).
% 134.88/85.55 tff(5600,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5599, 805, 795, 5575, 5587, 5596, 5595])).
% 134.88/85.55 tff(5601,plain,((~v84(constB119, bitIndex0)) | v84(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5602,plain,
% 134.88/85.55 (~v84(constB119, bitIndex0)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5601, 5527])).
% 134.88/85.55 tff(5603,assumption,(~v84(constB119, bitIndex0)), introduced(assumption)).
% 134.88/85.55 tff(5604,assumption,(v145(constB119)), introduced(assumption)).
% 134.88/85.55 tff(5605,plain,
% 134.88/85.55 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB119, bitIndex0) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB119, bitIndex0) | (~v145(constB119)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5606,plain,
% 134.88/85.55 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB119, bitIndex0) | (~v145(constB119)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5607,plain,
% 134.88/85.55 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB119, bitIndex0) | (~v145(constB119))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5606, 5605])).
% 134.88/85.55 tff(5608,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5607, 788, 5604, 5603])).
% 134.88/85.55 tff(5609,plain,((~v145(constB119)) | v84(constB119, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5610,plain,
% 134.88/85.55 (~v145(constB119)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5609, 5603])).
% 134.88/85.55 tff(5611,assumption,(v84(constB119, bitIndex2)), introduced(assumption)).
% 134.88/85.55 tff(5612,assumption,(v116(constB119)), introduced(assumption)).
% 134.88/85.55 tff(5613,plain,
% 134.88/85.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB119, bitIndex2)) | (~v116(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB119, bitIndex2)) | (~v116(constB119)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5614,plain,
% 134.88/85.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB119, bitIndex2)) | (~v116(constB119)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5615,plain,
% 134.88/85.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB119, bitIndex2)) | (~v116(constB119))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5614, 5613])).
% 134.88/85.55 tff(5616,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5615, 1130, 5611, 5612])).
% 134.88/85.55 tff(5617,plain,((~v116(constB119)) | (~v84(constB119, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5618,plain,
% 134.88/85.55 (~v116(constB119)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5617, 5611])).
% 134.88/85.55 tff(5619,assumption,(v84(constB119, bitIndex1)), introduced(assumption)).
% 134.88/85.55 tff(5620,assumption,(v172(constB119)), introduced(assumption)).
% 134.88/85.55 tff(5621,plain,
% 134.88/85.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB119, bitIndex1)) | (~v172(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB119, bitIndex1)) | (~v172(constB119)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5622,plain,
% 134.88/85.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB119, bitIndex1)) | (~v172(constB119)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5623,plain,
% 134.88/85.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB119, bitIndex1)) | (~v172(constB119))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5622, 5621])).
% 134.88/85.55 tff(5624,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5623, 2289, 5619, 5620])).
% 134.88/85.55 tff(5625,plain,((~v172(constB119)) | (~v84(constB119, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5626,plain,
% 134.88/85.55 (~v172(constB119)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5625, 5619])).
% 134.88/85.55 tff(5627,assumption,(v118(constB119)), introduced(assumption)).
% 134.88/85.55 tff(5628,plain,
% 134.88/85.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB119, bitIndex1)) | (~v118(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB119, bitIndex1)) | (~v118(constB119)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5629,plain,
% 134.88/85.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB119, bitIndex1)) | (~v118(constB119)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5630,plain,
% 134.88/85.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB119, bitIndex1)) | (~v118(constB119))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5629, 5628])).
% 134.88/85.55 tff(5631,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5630, 2842, 5619, 5627])).
% 134.88/85.55 tff(5632,plain,((~v118(constB119)) | (~v84(constB119, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5633,plain,
% 134.88/85.55 (~v118(constB119)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5632, 5619])).
% 134.88/85.55 tff(5634,assumption,(v113(constB119)), introduced(assumption)).
% 134.88/85.55 tff(5635,plain,
% 134.88/85.55 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB119)) | (~v84(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB119)) | (~v84(constB119, bitIndex2)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.55 tff(5636,plain,
% 134.88/85.55 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB119)) | (~v84(constB119, bitIndex2)))),
% 134.88/85.55 inference(quant_inst,[status(thm)],[])).
% 134.88/85.55 tff(5637,plain,
% 134.88/85.55 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB119)) | (~v84(constB119, bitIndex2))),
% 134.88/85.55 inference(modus_ponens,[status(thm)],[5636, 5635])).
% 134.88/85.55 tff(5638,plain,
% 134.88/85.55 ($false),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5637, 1119, 5611, 5634])).
% 134.88/85.55 tff(5639,plain,((~v113(constB119)) | (~v84(constB119, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.88/85.55 tff(5640,plain,
% 134.88/85.55 (~v113(constB119)),
% 134.88/85.55 inference(unit_resolution,[status(thm)],[5639, 5611])).
% 134.88/85.55 tff(5641,plain,
% 134.88/85.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB119, bitIndex2)) | (~v115(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB119, bitIndex2)) | (~v115(constB119)))),
% 134.88/85.55 inference(rewrite,[status(thm)],[])).
% 134.88/85.56 tff(5642,plain,
% 134.88/85.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB119, bitIndex2)) | (~v115(constB119)))),
% 134.88/85.56 inference(quant_inst,[status(thm)],[])).
% 134.88/85.56 tff(5643,plain,
% 134.88/85.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB119, bitIndex2)) | (~v115(constB119))),
% 134.88/85.56 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 134.88/85.56 tff(5644,plain,
% 134.88/85.56 (~v115(constB119)),
% 134.88/85.56 inference(unit_resolution,[status(thm)],[5643, 2665, 5611])).
% 134.88/85.56 tff(5645,assumption,(v124(constB119, bitIndex2)), introduced(assumption)).
% 134.88/85.56 tff(5646,assumption,(~v116(constB119)), introduced(assumption)).
% 134.88/85.56 tff(5647,assumption,(~v115(constB119)), introduced(assumption)).
% 134.88/85.56 tff(5648,assumption,(~v118(constB119)), introduced(assumption)).
% 134.88/85.56 tff(5649,assumption,(~v172(constB119)), introduced(assumption)).
% 134.88/85.56 tff(5650,assumption,(~v113(constB119)), introduced(assumption)).
% 134.88/85.56 tff(5651,assumption,(~v145(constB119)), introduced(assumption)).
% 134.88/85.56 tff(5652,plain,
% 134.88/85.56 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB119) | v172(constB119) | v116(constB119) | v115(constB119) | v145(constB119) | v113(constB119) | (~v124(constB119, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB119) | v172(constB119) | v116(constB119) | v115(constB119) | v145(constB119) | v113(constB119) | (~v124(constB119, bitIndex2)))),
% 134.88/85.56 inference(rewrite,[status(thm)],[])).
% 134.88/85.56 tff(5653,plain,
% 134.88/85.56 ((v113(constB119) | v145(constB119) | v115(constB119) | v116(constB119) | v172(constB119) | v118(constB119) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB119) | v172(constB119) | v116(constB119) | v115(constB119) | v145(constB119) | v113(constB119) | (~v124(constB119, bitIndex2)))),
% 134.88/85.56 inference(rewrite,[status(thm)],[])).
% 134.88/85.56 tff(5654,plain,
% 134.88/85.56 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB119) | v145(constB119) | v115(constB119) | v116(constB119) | v172(constB119) | v118(constB119) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB119) | v172(constB119) | v116(constB119) | v115(constB119) | v145(constB119) | v113(constB119) | (~v124(constB119, bitIndex2))))),
% 134.88/85.56 inference(monotonicity,[status(thm)],[5653])).
% 134.88/85.56 tff(5655,plain,
% 134.88/85.56 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB119) | v145(constB119) | v115(constB119) | v116(constB119) | v172(constB119) | v118(constB119) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB119) | v172(constB119) | v116(constB119) | v115(constB119) | v145(constB119) | v113(constB119) | (~v124(constB119, bitIndex2)))),
% 134.88/85.56 inference(transitivity,[status(thm)],[5654, 5652])).
% 134.88/85.56 tff(5656,plain,
% 134.88/85.56 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB119) | v145(constB119) | v115(constB119) | v116(constB119) | v172(constB119) | v118(constB119) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b001(bitIndex2))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5657,plain,
% 134.92/85.56 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB119) | v172(constB119) | v116(constB119) | v115(constB119) | v145(constB119) | v113(constB119) | (~v124(constB119, bitIndex2))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5656, 5655])).
% 134.92/85.56 tff(5658,plain,
% 134.92/85.56 ($false),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5657, 2427, 2424, 767, 5651, 5650, 5649, 5648, 5647, 5646, 5645])).
% 134.92/85.56 tff(5659,plain,(v172(constB119) | v145(constB119) | v113(constB119) | v118(constB119) | v115(constB119) | v116(constB119) | (~v124(constB119, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.56 tff(5660,plain,
% 134.92/85.56 (~v124(constB119, bitIndex2)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5659, 5644, 5640, 5633, 5626, 5618, 5610])).
% 134.92/85.56 tff(5661,assumption,(v121(constB119, bitIndex2)), introduced(assumption)).
% 134.92/85.56 tff(5662,assumption,(~v124(constB119, bitIndex2)), introduced(assumption)).
% 134.92/85.56 tff(5663,assumption,(v26(constB119)), introduced(assumption)).
% 134.92/85.56 tff(5664,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5665,plain,
% 134.92/85.56 ($false),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5664, 1172, 5663])).
% 134.92/85.56 tff(5666,plain,(~v26(constB119)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.56 tff(5667,plain,
% 134.92/85.56 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex2)) | (~v121(constB119, bitIndex2)) | v124(constB119, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex2)) | (~v121(constB119, bitIndex2)) | v124(constB119, bitIndex2))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5668,plain,
% 134.92/85.56 ((v26(constB119) | (~less_3(bitIndex2)) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2))) <=> (v26(constB119) | (~less_3(bitIndex2)) | (~v121(constB119, bitIndex2)) | v124(constB119, bitIndex2))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5669,plain,
% 134.92/85.56 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex2)) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex2)) | (~v121(constB119, bitIndex2)) | v124(constB119, bitIndex2)))),
% 134.92/85.56 inference(monotonicity,[status(thm)],[5668])).
% 134.92/85.56 tff(5670,plain,
% 134.92/85.56 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex2)) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex2)) | (~v121(constB119, bitIndex2)) | v124(constB119, bitIndex2))),
% 134.92/85.56 inference(transitivity,[status(thm)],[5669, 5667])).
% 134.92/85.56 tff(5671,plain,
% 134.92/85.56 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex2)) | v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2)))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5672,plain,
% 134.92/85.56 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex2)) | (~v121(constB119, bitIndex2)) | v124(constB119, bitIndex2)),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 134.92/85.56 tff(5673,plain,
% 134.92/85.56 ($false),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5672, 1380, 767, 5666, 5662, 5661])).
% 134.92/85.56 tff(5674,plain,(v124(constB119, bitIndex2) | (~v121(constB119, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.56 tff(5675,plain,
% 134.92/85.56 (~v121(constB119, bitIndex2)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5674, 5660])).
% 134.92/85.56 tff(5676,assumption,(v123(constB120, bitIndex2)), introduced(assumption)).
% 134.92/85.56 tff(5677,assumption,(~v121(constB119, bitIndex2)), introduced(assumption)).
% 134.92/85.56 tff(5678,plain,
% 134.92/85.56 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5679,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_119_1')).
% 134.92/85.56 tff(5680,plain,
% 134.92/85.56 (nextState(constB119, constB120)),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 134.92/85.56 tff(5681,plain,
% 134.92/85.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB119, constB120)) | (~less_3(bitIndex2)) | (~v123(constB120, bitIndex2)) | v121(constB119, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB119, constB120)) | (~less_3(bitIndex2)) | (~v123(constB120, bitIndex2)) | v121(constB119, bitIndex2))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5682,plain,
% 134.92/85.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB119, constB120)) | (~less_3(bitIndex2)) | (~v123(constB120, bitIndex2)) | v121(constB119, bitIndex2))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5683,plain,
% 134.92/85.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB119, constB120)) | (~less_3(bitIndex2)) | (~v123(constB120, bitIndex2)) | v121(constB119, bitIndex2)),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5682, 5681])).
% 134.92/85.56 tff(5684,plain,
% 134.92/85.56 ($false),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5683, 1362, 767, 5680, 5677, 5676])).
% 134.92/85.56 tff(5685,plain,((~v123(constB120, bitIndex2)) | v121(constB119, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.56 tff(5686,plain,
% 134.92/85.56 (~v123(constB120, bitIndex2)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5685, 5675])).
% 134.92/85.56 tff(5687,plain,
% 134.92/85.56 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB120)) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB120)) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5688,plain,
% 134.92/85.56 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB120)) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5689,plain,
% 134.92/85.56 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB120)) | (~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2)),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 134.92/85.56 tff(5690,plain,
% 134.92/85.56 ((~v94(constB120)) | v123(constB120, bitIndex2)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5689, 1344, 767, 5594])).
% 134.92/85.56 tff(5691,plain,
% 134.92/85.56 (~v94(constB120)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5690, 5686])).
% 134.92/85.56 tff(5692,plain,
% 134.92/85.56 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5693,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120)))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5694,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB119) | (~nextState(constB119, constB120)) | (~v98(constB120))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 134.92/85.56 tff(5695,plain,
% 134.92/85.56 (~v98(constB120)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5694, 541, 5680, 5572])).
% 134.92/85.56 tff(5696,plain,
% 134.92/85.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5697,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB119, constB120)) | v96(constB120) | v98(constB120))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5698,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB119, constB120)) | v96(constB120) | v98(constB120)),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5697, 5696])).
% 134.92/85.56 tff(5699,plain,
% 134.92/85.56 (v96(constB120) | v98(constB120)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5698, 555, 5680])).
% 134.92/85.56 tff(5700,plain,
% 134.92/85.56 (v96(constB120)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5699, 5695])).
% 134.92/85.56 tff(5701,plain,
% 134.92/85.56 (v1(constB120) <=> v1(constB120)),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5702,axiom,(v1(constB120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_120_1')).
% 134.92/85.56 tff(5703,plain,
% 134.92/85.56 (v1(constB120)),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5702, 5701])).
% 134.92/85.56 tff(5704,plain,
% 134.92/85.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5705,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120)))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5706,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB119, constB120)) | v95(constB120) | (~v96(constB120)) | (~v1(constB120))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5705, 5704])).
% 134.92/85.56 tff(5707,plain,
% 134.92/85.56 (v95(constB120) | (~v96(constB120))),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5706, 573, 5680, 5703])).
% 134.92/85.56 tff(5708,plain,
% 134.92/85.56 (v95(constB120)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5707, 5700])).
% 134.92/85.56 tff(5709,plain,
% 134.92/85.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5710,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5711,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB119, constB120)) | (~v95(constB120)) | (~v104(constB120)) | v94(constB120)),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 134.92/85.56 tff(5712,plain,
% 134.92/85.56 ((~v95(constB120)) | (~v104(constB120)) | v94(constB120)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5711, 588, 5680])).
% 134.92/85.56 tff(5713,plain,
% 134.92/85.56 ((~v104(constB120)) | v94(constB120)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5712, 5708])).
% 134.92/85.56 tff(5714,plain,
% 134.92/85.56 (~v104(constB120)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5713, 5691])).
% 134.92/85.56 tff(5715,plain,
% 134.92/85.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5716,plain,
% 134.92/85.56 (((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120)) <=> ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5717,plain,
% 134.92/85.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))))),
% 134.92/85.56 inference(monotonicity,[status(thm)],[5716])).
% 134.92/85.56 tff(5718,plain,
% 134.92/85.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119)))),
% 134.92/85.56 inference(transitivity,[status(thm)],[5717, 5715])).
% 134.92/85.56 tff(5719,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB119, constB120)) | (~v102(constB119)) | v104(constB120))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5720,plain,
% 134.92/85.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v102(constB119))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5719, 5718])).
% 134.92/85.56 tff(5721,plain,
% 134.92/85.56 (v104(constB120) | (~v102(constB119))),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5720, 604, 5680])).
% 134.92/85.56 tff(5722,plain,
% 134.92/85.56 (~v102(constB119)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5721, 5714])).
% 134.92/85.56 tff(5723,assumption,(~v102(constB119)), introduced(assumption)).
% 134.92/85.56 tff(5724,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB119) | (~v106(constB119)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB119) | (~v106(constB119)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5725,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB119) | (~v106(constB119)))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5726,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB119) | (~v106(constB119))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5725, 5724])).
% 134.92/85.56 tff(5727,plain,
% 134.92/85.56 (~v106(constB119)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5726, 619, 5723])).
% 134.92/85.56 tff(5728,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB119) | (~v26(constB119)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB119) | (~v26(constB119)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5729,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB119) | (~v26(constB119)))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5730,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB119) | (~v26(constB119))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5729, 5728])).
% 134.92/85.56 tff(5731,plain,
% 134.92/85.56 (~v26(constB119)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5730, 630, 5723])).
% 134.92/85.56 tff(5732,assumption,(v107(constB119)), introduced(assumption)).
% 134.92/85.56 tff(5733,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | v106(constB119) | (~v107(constB119)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5734,plain,
% 134.92/85.56 ((v26(constB119) | (~v107(constB119)) | v106(constB119)) <=> (v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5735,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | v106(constB119) | (~v107(constB119))))),
% 134.92/85.56 inference(monotonicity,[status(thm)],[5734])).
% 134.92/85.56 tff(5736,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119)))),
% 134.92/85.56 inference(transitivity,[status(thm)],[5735, 5733])).
% 134.92/85.56 tff(5737,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB119) | (~v107(constB119)) | v106(constB119))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5738,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB119) | v106(constB119) | (~v107(constB119))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5737, 5736])).
% 134.92/85.56 tff(5739,plain,
% 134.92/85.56 (v26(constB119) | v106(constB119)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5738, 644, 5732])).
% 134.92/85.56 tff(5740,plain,
% 134.92/85.56 ($false),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5739, 5731, 5727])).
% 134.92/85.56 tff(5741,plain,(v102(constB119) | (~v107(constB119))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.56 tff(5742,plain,
% 134.92/85.56 (~v107(constB119)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5741, 5722])).
% 134.92/85.56 tff(5743,assumption,(~v119(constB119)), introduced(assumption)).
% 134.92/85.56 tff(5744,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB119) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB119) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5745,plain,
% 134.92/85.56 ((v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2)) | v119(constB119)) <=> (v119(constB119) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5746,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2)) | v119(constB119))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB119) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2))))),
% 134.92/85.56 inference(monotonicity,[status(thm)],[5745])).
% 134.92/85.56 tff(5747,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2)) | v119(constB119))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB119) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2)))),
% 134.92/85.56 inference(transitivity,[status(thm)],[5746, 5744])).
% 134.92/85.56 tff(5748,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2)) | v119(constB119))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5749,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB119) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 134.92/85.56 tff(5750,plain,
% 134.92/85.56 (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2))),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5749, 1910, 5743])).
% 134.92/85.56 tff(5751,plain,
% 134.92/85.56 (~v84(constB119, bitIndex2)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5750, 5603, 5619])).
% 134.92/85.56 tff(5752,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5753,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5754,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v115(constB119)),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5753, 5752])).
% 134.92/85.56 tff(5755,plain,
% 134.92/85.56 (v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5754, 1095, 5647])).
% 134.92/85.56 tff(5756,plain,
% 134.92/85.56 ($false),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5755, 5751, 5603, 5619])).
% 134.92/85.56 tff(5757,plain,(v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | v115(constB119) | v119(constB119)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.56 tff(5758,plain,
% 134.92/85.56 (v119(constB119)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5757, 5644, 5603, 5619])).
% 134.92/85.56 tff(5759,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB119) | (~v119(constB119)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB119) | (~v119(constB119)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5760,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB119) | (~v119(constB119)))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5761,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB119) | (~v119(constB119))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5760, 5759])).
% 134.92/85.56 tff(5762,plain,
% 134.92/85.56 ($false),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5761, 1927, 5758, 5742])).
% 134.92/85.56 tff(5763,plain,((~v84(constB120, bitIndex2)) | v84(constB119, bitIndex0) | (~v84(constB119, bitIndex1)) | (~v84(constB119, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.56 tff(5764,plain,
% 134.92/85.56 (~v84(constB119, bitIndex2)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5763, 5602, 5594, 5593])).
% 134.92/85.56 tff(5765,plain,
% 134.92/85.56 (~v84(constB119, bitIndex0)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5601, 5595])).
% 134.92/85.56 tff(5766,assumption,(~v84(constB119, bitIndex2)), introduced(assumption)).
% 134.92/85.56 tff(5767,plain,
% 134.92/85.56 (~v84(constB119, bitIndex1)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5755, 5766, 5765])).
% 134.92/85.56 tff(5768,plain,
% 134.92/85.56 (~v84(constB118, bitIndex1)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5592, 5767])).
% 134.92/85.56 tff(5769,plain,
% 134.92/85.56 (~v123(constB118, bitIndex1)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5566, 5768, 5521])).
% 134.92/85.56 tff(5770,assumption,(v84(constB118, bitIndex2)), introduced(assumption)).
% 134.92/85.56 tff(5771,plain,
% 134.92/85.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB118, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB118, bitIndex2)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5772,plain,
% 134.92/85.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB118, bitIndex2)))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5773,plain,
% 134.92/85.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB118, bitIndex2))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 134.92/85.56 tff(5774,plain,
% 134.92/85.56 ($false),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5773, 777, 767, 5575, 5587, 5766, 5770])).
% 134.92/85.56 tff(5775,plain,(v84(constB119, bitIndex2) | (~v84(constB118, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.56 tff(5776,plain,
% 134.92/85.56 (~v84(constB118, bitIndex2)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5775, 5766])).
% 134.92/85.56 tff(5777,assumption,(~v84(constB118, bitIndex2)), introduced(assumption)).
% 134.92/85.56 tff(5778,assumption,(~v94(constB118)), introduced(assumption)).
% 134.92/85.56 tff(5779,plain,
% 134.92/85.56 (~v104(constB118)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5488, 5778])).
% 134.92/85.56 tff(5780,plain,
% 134.92/85.56 (~v102(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5462, 5779])).
% 134.92/85.56 tff(5781,plain,
% 134.92/85.56 (~v106(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5451, 619, 5780])).
% 134.92/85.56 tff(5782,plain,
% 134.92/85.56 (~v107(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5447, 5781])).
% 134.92/85.56 tff(5783,plain,
% 134.92/85.56 (~v108(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5376, 658, 5782])).
% 134.92/85.56 tff(5784,plain,
% 134.92/85.56 (~v109(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5380, 669, 5783])).
% 134.92/85.56 tff(5785,plain,
% 134.92/85.56 (~v110(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5404, 680, 5784])).
% 134.92/85.56 tff(5786,plain,
% 134.92/85.56 (~v111(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5408, 691, 5785])).
% 134.92/85.56 tff(5787,plain,
% 134.92/85.56 (~v112(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5412, 702, 5786])).
% 134.92/85.56 tff(5788,plain,
% 134.92/85.56 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB117) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB117) | (~v115(constB117)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5789,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB117) | (~v115(constB117)))),
% 134.92/85.56 inference(quant_inst,[status(thm)],[])).
% 134.92/85.56 tff(5790,plain,
% 134.92/85.56 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB117) | (~v115(constB117))),
% 134.92/85.56 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 134.92/85.56 tff(5791,plain,
% 134.92/85.56 (~v115(constB117)),
% 134.92/85.56 inference(unit_resolution,[status(thm)],[5790, 945, 5786])).
% 134.92/85.56 tff(5792,plain,
% 134.92/85.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v84(constB117, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v84(constB117, bitIndex2)))),
% 134.92/85.56 inference(rewrite,[status(thm)],[])).
% 134.92/85.56 tff(5793,plain,
% 134.92/85.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v84(constB117, bitIndex2)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5794,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v84(constB117, bitIndex2))),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5793, 5792])).
% 134.92/85.57 tff(5795,plain,
% 134.92/85.57 (v94(constB118) | (~v84(constB117, bitIndex2))),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5794, 777, 767, 5455, 5777])).
% 134.92/85.57 tff(5796,plain,
% 134.92/85.57 (~v84(constB117, bitIndex2)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5795, 5778])).
% 134.92/85.57 tff(5797,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB118, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB118, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5798,plain,
% 134.92/85.57 (((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB118, bitIndex0) | (~v84(constB117, bitIndex0))) <=> ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB118, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5799,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB118, bitIndex0) | (~v84(constB117, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB118, bitIndex0)))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5798])).
% 134.92/85.57 tff(5800,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB118, bitIndex0) | (~v84(constB117, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB118, bitIndex0))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5799, 5797])).
% 134.92/85.57 tff(5801,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB118, bitIndex0) | (~v84(constB117, bitIndex0)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5802,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB118, bitIndex0)),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5801, 5800])).
% 134.92/85.57 tff(5803,plain,
% 134.92/85.57 (v94(constB118) | (~v84(constB117, bitIndex0))),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5802, 777, 795, 5455, 5595])).
% 134.92/85.57 tff(5804,plain,
% 134.92/85.57 (~v84(constB117, bitIndex0)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5803, 5778])).
% 134.92/85.57 tff(5805,plain,
% 134.92/85.57 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex1)) | v115(constB117))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex1)) | v115(constB117))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5806,plain,
% 134.92/85.57 ((v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v115(constB117)) <=> (v84(constB117, bitIndex0) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex1)) | v115(constB117))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5807,plain,
% 134.92/85.57 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v115(constB117))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB117, bitIndex0) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex1)) | v115(constB117)))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5806])).
% 134.92/85.57 tff(5808,plain,
% 134.92/85.57 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v115(constB117))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex1)) | v115(constB117))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5807, 5805])).
% 134.92/85.57 tff(5809,plain,
% 134.92/85.57 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB117, bitIndex0) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v115(constB117))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5810,plain,
% 134.92/85.57 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB117, bitIndex0) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex1)) | v115(constB117)),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5809, 5808])).
% 134.92/85.57 tff(5811,plain,
% 134.92/85.57 ((~v84(constB117, bitIndex1)) | v115(constB117)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5810, 1095, 5804, 5796])).
% 134.92/85.57 tff(5812,plain,
% 134.92/85.57 (~v84(constB117, bitIndex1)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5811, 5791])).
% 134.92/85.57 tff(5813,plain,
% 134.92/85.57 (v113(constB117) | v84(constB117, bitIndex1)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5432, 983, 5804, 5796])).
% 134.92/85.57 tff(5814,plain,
% 134.92/85.57 (v113(constB117)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5813, 5812])).
% 134.92/85.57 tff(5815,plain,
% 134.92/85.57 ($false),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5428, 969, 5814, 5787])).
% 134.92/85.57 tff(5816,plain,(v94(constB118) | v84(constB118, bitIndex2) | v84(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.57 tff(5817,plain,
% 134.92/85.57 (v94(constB118)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5816, 5777, 5595])).
% 134.92/85.57 tff(5818,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v84(constB118, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v84(constB118, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5819,plain,
% 134.92/85.57 (((~less_3(bitIndex0)) | (~v94(constB118)) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0))) <=> ((~v94(constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v84(constB118, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5820,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB118)) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v84(constB118, bitIndex0)))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5819])).
% 134.92/85.57 tff(5821,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB118)) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v84(constB118, bitIndex0))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5820, 5818])).
% 134.92/85.57 tff(5822,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB118)) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5823,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex0)) | (~v123(constB118, bitIndex0)) | v84(constB118, bitIndex0)),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5822, 5821])).
% 134.92/85.57 tff(5824,plain,
% 134.92/85.57 ((~v94(constB118)) | (~v123(constB118, bitIndex0))),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5823, 1674, 795, 5595])).
% 134.92/85.57 tff(5825,plain,
% 134.92/85.57 (~v123(constB118, bitIndex0)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5824, 5521])).
% 134.92/85.57 tff(5826,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex0)) | v123(constB118, bitIndex0) | (~v121(constB117, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex0)) | v123(constB118, bitIndex0) | (~v121(constB117, bitIndex0)))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5827,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex0)) | v123(constB118, bitIndex0) | (~v121(constB117, bitIndex0)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5828,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex0)) | v123(constB118, bitIndex0) | (~v121(constB117, bitIndex0))),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5827, 5826])).
% 134.92/85.57 tff(5829,plain,
% 134.92/85.57 (~v121(constB117, bitIndex0)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5828, 1708, 795, 5455, 5825])).
% 134.92/85.57 tff(5830,assumption,(~v26(constB117)), introduced(assumption)).
% 134.92/85.57 tff(5831,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex0)) | v121(constB117, bitIndex0) | (~v124(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex0)) | v121(constB117, bitIndex0) | (~v124(constB117, bitIndex0)))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5832,plain,
% 134.92/85.57 ((v26(constB117) | v121(constB117, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0))) <=> (v26(constB117) | (~less_3(bitIndex0)) | v121(constB117, bitIndex0) | (~v124(constB117, bitIndex0)))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5833,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex0)) | v121(constB117, bitIndex0) | (~v124(constB117, bitIndex0))))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5832])).
% 134.92/85.57 tff(5834,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex0)) | v121(constB117, bitIndex0) | (~v124(constB117, bitIndex0)))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5833, 5831])).
% 134.92/85.57 tff(5835,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5836,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex0)) | v121(constB117, bitIndex0) | (~v124(constB117, bitIndex0))),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5835, 5834])).
% 134.92/85.57 tff(5837,plain,
% 134.92/85.57 (~v124(constB117, bitIndex0)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5836, 1728, 795, 5830, 5829])).
% 134.92/85.57 tff(5838,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB117)) | v124(constB117, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB117)) | v124(constB117, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5839,plain,
% 134.92/85.57 (((~v115(constB117)) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB117)) | v124(constB117, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5840,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB117)) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB117)) | v124(constB117, bitIndex0)))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5839])).
% 134.92/85.57 tff(5841,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB117)) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB117)) | v124(constB117, bitIndex0))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5840, 5838])).
% 134.92/85.57 tff(5842,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB117)) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b011(bitIndex0)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5843,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB117)) | v124(constB117, bitIndex0)),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5842, 5841])).
% 134.92/85.57 tff(5844,plain,
% 134.92/85.57 (~v115(constB117)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5843, 1148, 1193, 795, 5837])).
% 134.92/85.57 tff(5845,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB118)) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5846,plain,
% 134.92/85.57 (((~less_3(bitIndex2)) | (~v94(constB118)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2))) <=> ((~v94(constB118)) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5847,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB118)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB118)) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2))))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5846])).
% 134.92/85.57 tff(5848,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB118)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5847, 5845])).
% 134.92/85.57 tff(5849,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB118)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5850,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB118)) | (~less_3(bitIndex2)) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2))),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5849, 5848])).
% 134.92/85.57 tff(5851,plain,
% 134.92/85.57 ((~v94(constB118)) | (~v123(constB118, bitIndex2))),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5850, 1674, 767, 5777])).
% 134.92/85.57 tff(5852,plain,
% 134.92/85.57 (~v123(constB118, bitIndex2)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5851, 5521])).
% 134.92/85.57 tff(5853,plain,
% 134.92/85.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex2)) | v123(constB118, bitIndex2) | (~v121(constB117, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex2)) | v123(constB118, bitIndex2) | (~v121(constB117, bitIndex2)))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5854,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex2)) | v123(constB118, bitIndex2) | (~v121(constB117, bitIndex2)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5855,plain,
% 134.92/85.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex2)) | v123(constB118, bitIndex2) | (~v121(constB117, bitIndex2))),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5854, 5853])).
% 134.92/85.57 tff(5856,plain,
% 134.92/85.57 (~v121(constB117, bitIndex2)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5855, 1708, 767, 5455, 5852])).
% 134.92/85.57 tff(5857,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex2)) | v121(constB117, bitIndex2) | (~v124(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex2)) | v121(constB117, bitIndex2) | (~v124(constB117, bitIndex2)))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5858,plain,
% 134.92/85.57 ((v26(constB117) | v121(constB117, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2))) <=> (v26(constB117) | (~less_3(bitIndex2)) | v121(constB117, bitIndex2) | (~v124(constB117, bitIndex2)))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5859,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex2)) | v121(constB117, bitIndex2) | (~v124(constB117, bitIndex2))))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5858])).
% 134.92/85.57 tff(5860,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex2)) | v121(constB117, bitIndex2) | (~v124(constB117, bitIndex2)))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5859, 5857])).
% 134.92/85.57 tff(5861,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB117) | v121(constB117, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5862,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex2)) | v121(constB117, bitIndex2) | (~v124(constB117, bitIndex2))),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5861, 5860])).
% 134.92/85.57 tff(5863,plain,
% 134.92/85.57 (~v124(constB117, bitIndex2)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5862, 1728, 767, 5830, 5856])).
% 134.92/85.57 tff(5864,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB117)) | v124(constB117, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5865,plain,
% 134.92/85.57 (((~v116(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5866,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB117)) | v124(constB117, bitIndex2)))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5865])).
% 134.92/85.57 tff(5867,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5866, 5864])).
% 134.92/85.57 tff(5868,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b100(bitIndex2)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5869,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB117)) | v124(constB117, bitIndex2)),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 134.92/85.57 tff(5870,plain,
% 134.92/85.57 (~v116(constB117)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5869, 1772, 1769, 767, 5863])).
% 134.92/85.57 tff(5871,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB117)) | v124(constB117, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5872,plain,
% 134.92/85.57 (((~v172(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5873,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB117)) | v124(constB117, bitIndex2)))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5872])).
% 134.92/85.57 tff(5874,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5873, 5871])).
% 134.92/85.57 tff(5875,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b110(bitIndex2)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5876,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB117)) | v124(constB117, bitIndex2)),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5875, 5874])).
% 134.92/85.57 tff(5877,plain,
% 134.92/85.57 (~v172(constB117)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5876, 2066, 1798, 767, 5863])).
% 134.92/85.57 tff(5878,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB117)) | v124(constB117, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB117)) | v124(constB117, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5879,plain,
% 134.92/85.57 (((~v118(constB117)) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB117)) | v124(constB117, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5880,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB117)) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB117)) | v124(constB117, bitIndex0)))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5879])).
% 134.92/85.57 tff(5881,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB117)) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB117)) | v124(constB117, bitIndex0))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5880, 5878])).
% 134.92/85.57 tff(5882,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB117)) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b011(bitIndex0)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5883,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB117)) | v124(constB117, bitIndex0)),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5882, 5881])).
% 134.92/85.57 tff(5884,plain,
% 134.92/85.57 (~v118(constB117)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5883, 1148, 1145, 795, 5837])).
% 134.92/85.57 tff(5885,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB117)) | v124(constB117, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5886,plain,
% 134.92/85.57 (((~v113(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5887,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB117)) | v124(constB117, bitIndex2)))),
% 134.92/85.57 inference(monotonicity,[status(thm)],[5886])).
% 134.92/85.57 tff(5888,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB117)) | v124(constB117, bitIndex2))),
% 134.92/85.57 inference(transitivity,[status(thm)],[5887, 5885])).
% 134.92/85.57 tff(5889,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB117)) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~b100(bitIndex2)))),
% 134.92/85.57 inference(quant_inst,[status(thm)],[])).
% 134.92/85.57 tff(5890,plain,
% 134.92/85.57 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB117)) | v124(constB117, bitIndex2)),
% 134.92/85.57 inference(modus_ponens,[status(thm)],[5889, 5888])).
% 134.92/85.57 tff(5891,plain,
% 134.92/85.57 (~v113(constB117)),
% 134.92/85.57 inference(unit_resolution,[status(thm)],[5890, 1772, 1838, 767, 5863])).
% 134.92/85.57 tff(5892,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB117) | (~b001(bitIndex0)) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | v124(constB117, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB117) | (~b001(bitIndex0)) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | v124(constB117, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5893,plain,
% 134.92/85.57 ((v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB117) | (~b001(bitIndex0)) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | v124(constB117, bitIndex0))),
% 134.92/85.57 inference(rewrite,[status(thm)],[])).
% 134.92/85.57 tff(5894,plain,
% 134.92/85.57 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB117) | (~b001(bitIndex0)) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | v124(constB117, bitIndex0)))),
% 134.92/85.58 inference(monotonicity,[status(thm)],[5893])).
% 134.92/85.58 tff(5895,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB117) | (~b001(bitIndex0)) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | v124(constB117, bitIndex0))),
% 134.92/85.58 inference(transitivity,[status(thm)],[5894, 5892])).
% 134.92/85.58 tff(5896,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex0)) | v124(constB117, bitIndex0) | (~b001(bitIndex0)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(5897,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB117) | (~b001(bitIndex0)) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | v124(constB117, bitIndex0)),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 134.92/85.58 tff(5898,plain,
% 134.92/85.58 (v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5897, 1213, 1210, 795, 2, 5837])).
% 134.92/85.58 tff(5899,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5898, 5891, 5884, 5877, 5870, 5844])).
% 134.92/85.58 tff(5900,plain,((~v94(constB118)) | v145(constB117) | v26(constB117) | v84(constB118, bitIndex2) | v84(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5901,plain,
% 134.92/85.58 ((~v94(constB118)) | v145(constB117) | v84(constB118, bitIndex2) | v84(constB118, bitIndex0)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5900, 5440])).
% 134.92/85.58 tff(5902,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5901, 5817, 5777, 2, 5595])).
% 134.92/85.58 tff(5903,plain,(v84(constB118, bitIndex2) | v145(constB117) | v84(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5904,plain,
% 134.92/85.58 (v145(constB117)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5903, 5776, 5595])).
% 134.92/85.58 tff(5905,plain,
% 134.92/85.58 (v124(constB117, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5536, 5904])).
% 134.92/85.58 tff(5906,plain,
% 134.92/85.58 (v121(constB117, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5547, 5905])).
% 134.92/85.58 tff(5907,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5555, 5906, 5769])).
% 134.92/85.58 tff(5908,plain,(v84(constB119, bitIndex2) | (~v94(constB118)) | v84(constB118, bitIndex0) | v115(constB119)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5909,plain,
% 134.92/85.58 (v115(constB119)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5908, 5764, 5527, 5489])).
% 134.92/85.58 tff(5910,assumption,(v115(constB119)), introduced(assumption)).
% 134.92/85.58 tff(5911,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB119)) | (~v124(constB119, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB119)) | (~v124(constB119, bitIndex2)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5912,plain,
% 134.92/85.58 (((~v115(constB119)) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB119)) | (~v124(constB119, bitIndex2)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5913,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB119)) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB119)) | (~v124(constB119, bitIndex2))))),
% 134.92/85.58 inference(monotonicity,[status(thm)],[5912])).
% 134.92/85.58 tff(5914,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB119)) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB119)) | (~v124(constB119, bitIndex2)))),
% 134.92/85.58 inference(transitivity,[status(thm)],[5913, 5911])).
% 134.92/85.58 tff(5915,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB119)) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b011(bitIndex2))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(5916,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB119)) | (~v124(constB119, bitIndex2))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 134.92/85.58 tff(5917,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5916, 2030, 2257, 767, 5910, 5645])).
% 134.92/85.58 tff(5918,plain,((~v115(constB119)) | (~v124(constB119, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5919,plain,
% 134.92/85.58 (~v124(constB119, bitIndex2)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5918, 5909])).
% 134.92/85.58 tff(5920,assumption,(~v94(constB120)), introduced(assumption)).
% 134.92/85.58 tff(5921,plain,
% 134.92/85.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB120, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB120, bitIndex2)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5922,plain,
% 134.92/85.58 (((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB120, bitIndex2)) | v84(constB119, bitIndex2)) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB120, bitIndex2)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5923,plain,
% 134.92/85.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB120, bitIndex2)) | v84(constB119, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB120, bitIndex2))))),
% 134.92/85.58 inference(monotonicity,[status(thm)],[5922])).
% 134.92/85.58 tff(5924,plain,
% 134.92/85.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB120, bitIndex2)) | v84(constB119, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB120, bitIndex2)))),
% 134.92/85.58 inference(transitivity,[status(thm)],[5923, 5921])).
% 134.92/85.58 tff(5925,plain,
% 134.92/85.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB120, bitIndex2)) | v84(constB119, bitIndex2))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(5926,plain,
% 134.92/85.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB119, bitIndex2) | (~v84(constB120, bitIndex2))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 134.92/85.58 tff(5927,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5926, 805, 767, 5680, 5920, 5766, 5594])).
% 134.92/85.58 tff(5928,plain,((~v84(constB120, bitIndex2)) | v94(constB120) | v84(constB119, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5929,plain,
% 134.92/85.58 (v94(constB120)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5928, 5594, 5766])).
% 134.92/85.58 tff(5930,assumption,(~v123(constB120, bitIndex2)), introduced(assumption)).
% 134.92/85.58 tff(5931,plain,
% 134.92/85.58 ((~v94(constB120)) | (~v84(constB120, bitIndex2))),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5689, 1344, 767, 5930])).
% 134.92/85.58 tff(5932,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5931, 5929, 5594])).
% 134.92/85.58 tff(5933,plain,((~v84(constB120, bitIndex2)) | v123(constB120, bitIndex2) | v84(constB119, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5934,plain,
% 134.92/85.58 (v123(constB120, bitIndex2)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5933, 5764, 5594])).
% 134.92/85.58 tff(5935,plain,
% 134.92/85.58 (v121(constB119, bitIndex2)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5685, 5934])).
% 134.92/85.58 tff(5936,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5674, 5935, 5919])).
% 134.92/85.58 tff(5937,plain,((~v145(constB117)) | (~v84(constB120, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5938,plain,
% 134.92/85.58 (~v145(constB117)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5937, 5312])).
% 134.92/85.58 tff(5939,assumption,(~v116(constB121)), introduced(assumption)).
% 134.92/85.58 tff(5940,assumption,(~v113(constB121)), introduced(assumption)).
% 134.92/85.58 tff(5941,assumption,(~v145(constB121)), introduced(assumption)).
% 134.92/85.58 tff(5942,assumption,(~v118(constB121)), introduced(assumption)).
% 134.92/85.58 tff(5943,plain,
% 134.92/85.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB123, bitIndex2)) | (~v116(constB123)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5944,plain,
% 134.92/85.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v116(constB123)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(5945,plain,
% 134.92/85.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB123, bitIndex2)) | (~v116(constB123))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 134.92/85.58 tff(5946,plain,
% 134.92/85.58 (~v84(constB123, bitIndex2)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5945, 1130, 4822])).
% 134.92/85.58 tff(5947,plain,
% 134.92/85.58 (~v84(constB122, bitIndex2)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[4103, 5946])).
% 134.92/85.58 tff(5948,plain,
% 134.92/85.58 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB123, bitIndex1) | (~v116(constB123)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB123, bitIndex1) | (~v116(constB123)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5949,plain,
% 134.92/85.58 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB123, bitIndex1) | (~v116(constB123)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(5950,plain,
% 134.92/85.58 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB123, bitIndex1) | (~v116(constB123))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 134.92/85.58 tff(5951,plain,
% 134.92/85.58 (v84(constB123, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5950, 1268, 4822])).
% 134.92/85.58 tff(5952,plain,
% 134.92/85.58 (v84(constB122, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5315, 5951])).
% 134.92/85.58 tff(5953,assumption,(~v123(constB122, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(5954,plain,
% 134.92/85.58 ((~v94(constB122)) | (~v84(constB122, bitIndex1))),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5182, 1344, 823, 5953])).
% 134.92/85.58 tff(5955,plain,
% 134.92/85.58 (~v94(constB122)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5954, 5952])).
% 134.92/85.58 tff(5956,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[4282, 5955, 5947])).
% 134.92/85.58 tff(5957,plain,((~v116(constB123)) | v123(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5958,plain,
% 134.92/85.58 (v123(constB122, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5957, 4822])).
% 134.92/85.58 tff(5959,assumption,(v123(constB122, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(5960,assumption,(~v121(constB121, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(5961,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5187, 1362, 823, 4110, 5960, 5959])).
% 134.92/85.58 tff(5962,plain,((~v123(constB122, bitIndex1)) | v121(constB121, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5963,plain,
% 134.92/85.58 (v121(constB121, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5962, 5958])).
% 134.92/85.58 tff(5964,assumption,(v121(constB121, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(5965,assumption,(~v124(constB121, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(5966,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5191, 1380, 823, 4156, 5965, 5964])).
% 134.92/85.58 tff(5967,plain,(v124(constB121, bitIndex1) | (~v121(constB121, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5968,plain,
% 134.92/85.58 (v124(constB121, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5967, 5963])).
% 134.92/85.58 tff(5969,assumption,(v124(constB121, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(5970,assumption,(~v172(constB121)), introduced(assumption)).
% 134.92/85.58 tff(5971,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5280, 2601, 2424, 823, 5941, 4254, 5940, 5939, 5970, 5942, 5969])).
% 134.92/85.58 tff(5972,plain,((~v124(constB121, bitIndex1)) | v145(constB121) | v115(constB121) | v113(constB121) | v116(constB121) | v172(constB121) | v118(constB121)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5973,plain,
% 134.92/85.58 (v172(constB121)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5972, 5968, 5941, 4254, 5939, 5940, 5942])).
% 134.92/85.58 tff(5974,assumption,(~v124(constB121, bitIndex2)), introduced(assumption)).
% 134.92/85.58 tff(5975,assumption,(v172(constB121)), introduced(assumption)).
% 134.92/85.58 tff(5976,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB121)) | v124(constB121, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB121)) | v124(constB121, bitIndex2))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5977,plain,
% 134.92/85.58 (((~v172(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB121)) | v124(constB121, bitIndex2))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5978,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB121)) | v124(constB121, bitIndex2)))),
% 134.92/85.58 inference(monotonicity,[status(thm)],[5977])).
% 134.92/85.58 tff(5979,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB121)) | v124(constB121, bitIndex2))),
% 134.92/85.58 inference(transitivity,[status(thm)],[5978, 5976])).
% 134.92/85.58 tff(5980,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB121)) | (~less_3(bitIndex2)) | v124(constB121, bitIndex2) | (~b110(bitIndex2)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(5981,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB121)) | v124(constB121, bitIndex2)),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[5980, 5979])).
% 134.92/85.58 tff(5982,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5981, 2066, 1798, 767, 5975, 5974])).
% 134.92/85.58 tff(5983,plain,(v124(constB121, bitIndex2) | (~v172(constB121))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5984,plain,
% 134.92/85.58 (v124(constB121, bitIndex2)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5983, 5973])).
% 134.92/85.58 tff(5985,assumption,(~v121(constB121, bitIndex2)), introduced(assumption)).
% 134.92/85.58 tff(5986,assumption,(v124(constB121, bitIndex2)), introduced(assumption)).
% 134.92/85.58 tff(5987,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[4300, 1728, 767, 4156, 5986, 5985])).
% 134.92/85.58 tff(5988,plain,((~v124(constB121, bitIndex2)) | v121(constB121, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5989,plain,
% 134.92/85.58 (v121(constB121, bitIndex2)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5988, 5984])).
% 134.92/85.58 tff(5990,plain,
% 134.92/85.58 (v94(constB122)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[4282, 5947])).
% 134.92/85.58 tff(5991,plain,
% 134.92/85.58 (~v123(constB122, bitIndex2)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[4289, 1674, 767, 5990, 5947])).
% 134.92/85.58 tff(5992,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[4293, 1708, 767, 4110, 5991, 5989])).
% 134.92/85.58 tff(5993,plain,((~v116(constB123)) | v145(constB121) | v115(constB121) | v116(constB121) | v113(constB121) | v118(constB121)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(5994,plain,
% 134.92/85.58 (v118(constB121)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5993, 4822, 5941, 4254, 5940, 5939])).
% 134.92/85.58 tff(5995,plain,
% 134.92/85.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v172(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v172(constB121)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(5996,plain,
% 134.92/85.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v172(constB121)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(5997,plain,
% 134.92/85.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v172(constB121))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[5996, 5995])).
% 134.92/85.58 tff(5998,plain,
% 134.92/85.58 (~v172(constB121)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5997, 2289, 4243])).
% 134.92/85.58 tff(5999,plain,
% 134.92/85.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v118(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v118(constB121)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6000,plain,
% 134.92/85.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v118(constB121)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(6001,plain,
% 134.92/85.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB121, bitIndex1)) | (~v118(constB121))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[6000, 5999])).
% 134.92/85.58 tff(6002,plain,
% 134.92/85.58 (~v118(constB121)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6001, 2842, 4243])).
% 134.92/85.58 tff(6003,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5972, 6002, 5998, 5939, 4254, 5969, 5940, 5941])).
% 134.92/85.58 tff(6004,plain,(v145(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex1)) | v113(constB121) | (~v84(constB121, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(6005,plain,
% 134.92/85.58 (~v84(constB121, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6004, 5968, 5941, 4254, 5940, 5939])).
% 134.92/85.58 tff(6006,assumption,(~v84(constB121, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6007,assumption,(v84(constB120, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6008,plain,
% 134.92/85.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex1)) | v84(constB121, bitIndex1) | (~v84(constB120, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex1)) | v84(constB121, bitIndex1) | (~v84(constB120, bitIndex1)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6009,plain,
% 134.92/85.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex1)) | v84(constB121, bitIndex1) | (~v84(constB120, bitIndex1)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(6010,plain,
% 134.92/85.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex1)) | v84(constB121, bitIndex1) | (~v84(constB120, bitIndex1))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[6009, 6008])).
% 134.92/85.58 tff(6011,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6010, 777, 823, 5294, 5306, 6007, 6006])).
% 134.92/85.58 tff(6012,plain,(v84(constB121, bitIndex1) | (~v84(constB120, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(6013,plain,
% 134.92/85.58 (~v84(constB120, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6012, 6005])).
% 134.92/85.58 tff(6014,assumption,(v123(constB120, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6015,assumption,(~v84(constB120, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6016,plain,
% 134.92/85.58 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB120)) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB120)) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6017,plain,
% 134.92/85.58 (((~less_3(bitIndex1)) | (~v94(constB120)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1))) <=> ((~v94(constB120)) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6018,plain,
% 134.92/85.58 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB120)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB120)) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1))))),
% 134.92/85.58 inference(monotonicity,[status(thm)],[6017])).
% 134.92/85.58 tff(6019,plain,
% 134.92/85.58 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB120)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB120)) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)))),
% 134.92/85.58 inference(transitivity,[status(thm)],[6018, 6016])).
% 134.92/85.58 tff(6020,plain,
% 134.92/85.58 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB120)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(6021,plain,
% 134.92/85.58 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB120)) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[6020, 6019])).
% 134.92/85.58 tff(6022,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6021, 1674, 823, 5313, 6015, 6014])).
% 134.92/85.58 tff(6023,plain,(v84(constB120, bitIndex1) | (~v94(constB120)) | (~v123(constB120, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(6024,plain,
% 134.92/85.58 (~v123(constB120, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6023, 6013, 5313])).
% 134.92/85.58 tff(6025,assumption,(~v123(constB120, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6026,assumption,(v121(constB119, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6027,plain,
% 134.92/85.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB119, constB120)) | (~less_3(bitIndex1)) | v123(constB120, bitIndex1) | (~v121(constB119, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB119, constB120)) | (~less_3(bitIndex1)) | v123(constB120, bitIndex1) | (~v121(constB119, bitIndex1)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6028,plain,
% 134.92/85.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB119, constB120)) | (~less_3(bitIndex1)) | v123(constB120, bitIndex1) | (~v121(constB119, bitIndex1)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(6029,plain,
% 134.92/85.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB119, constB120)) | (~less_3(bitIndex1)) | v123(constB120, bitIndex1) | (~v121(constB119, bitIndex1))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 134.92/85.58 tff(6030,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6029, 1708, 823, 5680, 6026, 6025])).
% 134.92/85.58 tff(6031,plain,((~v121(constB119, bitIndex1)) | v123(constB120, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(6032,plain,
% 134.92/85.58 (~v121(constB119, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6031, 6024])).
% 134.92/85.58 tff(6033,assumption,(~v121(constB119, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6034,assumption,(v124(constB119, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6035,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex1)) | v121(constB119, bitIndex1) | (~v124(constB119, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex1)) | v121(constB119, bitIndex1) | (~v124(constB119, bitIndex1)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6036,plain,
% 134.92/85.58 ((v26(constB119) | v121(constB119, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB119, bitIndex1))) <=> (v26(constB119) | (~less_3(bitIndex1)) | v121(constB119, bitIndex1) | (~v124(constB119, bitIndex1)))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6037,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB119) | v121(constB119, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB119, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex1)) | v121(constB119, bitIndex1) | (~v124(constB119, bitIndex1))))),
% 134.92/85.58 inference(monotonicity,[status(thm)],[6036])).
% 134.92/85.58 tff(6038,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB119) | v121(constB119, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB119, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex1)) | v121(constB119, bitIndex1) | (~v124(constB119, bitIndex1)))),
% 134.92/85.58 inference(transitivity,[status(thm)],[6037, 6035])).
% 134.92/85.58 tff(6039,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB119) | v121(constB119, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB119, bitIndex1)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(6040,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex1)) | v121(constB119, bitIndex1) | (~v124(constB119, bitIndex1))),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 134.92/85.58 tff(6041,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6040, 1728, 823, 5666, 6034, 6033])).
% 134.92/85.58 tff(6042,plain,(v121(constB119, bitIndex1) | (~v124(constB119, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(6043,plain,
% 134.92/85.58 (~v124(constB119, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6042, 6032])).
% 134.92/85.58 tff(6044,assumption,(~v124(constB119, bitIndex1)), introduced(assumption)).
% 134.92/85.58 tff(6045,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB119)) | v124(constB119, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB119)) | v124(constB119, bitIndex1))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6046,plain,
% 134.92/85.58 (((~v172(constB119)) | (~less_3(bitIndex1)) | v124(constB119, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB119)) | v124(constB119, bitIndex1))),
% 134.92/85.58 inference(rewrite,[status(thm)],[])).
% 134.92/85.58 tff(6047,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB119)) | (~less_3(bitIndex1)) | v124(constB119, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB119)) | v124(constB119, bitIndex1)))),
% 134.92/85.58 inference(monotonicity,[status(thm)],[6046])).
% 134.92/85.58 tff(6048,plain,
% 134.92/85.58 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB119)) | (~less_3(bitIndex1)) | v124(constB119, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB119)) | v124(constB119, bitIndex1))),
% 134.92/85.58 inference(transitivity,[status(thm)],[6047, 6045])).
% 134.92/85.58 tff(6049,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB119)) | (~less_3(bitIndex1)) | v124(constB119, bitIndex1) | (~b110(bitIndex1)))),
% 134.92/85.58 inference(quant_inst,[status(thm)],[])).
% 134.92/85.58 tff(6050,plain,
% 134.92/85.58 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB119)) | v124(constB119, bitIndex1)),
% 134.92/85.58 inference(modus_ponens,[status(thm)],[6049, 6048])).
% 134.92/85.58 tff(6051,plain,
% 134.92/85.58 ($false),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6050, 1801, 1798, 823, 5620, 6044])).
% 134.92/85.58 tff(6052,plain,(v124(constB119, bitIndex1) | (~v172(constB119))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.58 tff(6053,plain,
% 134.92/85.58 (~v172(constB119)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[6052, 6043])).
% 134.92/85.58 tff(6054,plain,
% 134.92/85.58 (~v84(constB118, bitIndex1)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5592, 5569])).
% 134.92/85.58 tff(6055,plain,
% 134.92/85.58 (~v113(constB117)),
% 134.92/85.58 inference(unit_resolution,[status(thm)],[5428, 969, 5787])).
% 134.92/85.59 tff(6056,plain,
% 134.92/85.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v84(constB117, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v84(constB117, bitIndex1)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6057,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v84(constB117, bitIndex1)))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6058,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB118, bitIndex1) | (~v84(constB117, bitIndex1))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6057, 6056])).
% 134.92/85.59 tff(6059,plain,
% 134.92/85.59 ($false),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6058, 777, 823, 5455, 5778, 5343, 5558])).
% 134.92/85.59 tff(6060,plain,(v84(constB118, bitIndex1) | v94(constB118) | (~v84(constB117, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.59 tff(6061,plain,
% 134.92/85.59 (~v84(constB117, bitIndex1)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6060, 5778, 5558])).
% 134.92/85.59 tff(6062,plain,
% 134.92/85.59 (~v84(constB117, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5400, 6061, 5782])).
% 134.92/85.59 tff(6063,plain,
% 134.92/85.59 (~v145(constB117)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5416, 713, 5787])).
% 134.92/85.59 tff(6064,plain,
% 134.92/85.59 (v145(constB117) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0))),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5423, 865, 6061])).
% 134.92/85.59 tff(6065,plain,
% 134.92/85.59 (~v84(constB117, bitIndex0)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6064, 6062, 6063])).
% 134.92/85.59 tff(6066,plain,
% 134.92/85.59 (v113(constB117) | v84(constB117, bitIndex0) | v84(constB117, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5432, 983, 6061])).
% 134.92/85.59 tff(6067,plain,
% 134.92/85.59 ($false),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6066, 6065, 6062, 6055])).
% 134.92/85.59 tff(6068,plain,(v94(constB118) | v84(constB118, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.59 tff(6069,plain,
% 134.92/85.59 (v94(constB118)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6068, 6054])).
% 134.92/85.59 tff(6070,plain,
% 134.92/85.59 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v172(constB119))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v172(constB119))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6071,plain,
% 134.92/85.59 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v172(constB119))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6072,plain,
% 134.92/85.59 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v172(constB119)),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6071, 6070])).
% 134.92/85.59 tff(6073,plain,
% 134.92/85.59 (v84(constB119, bitIndex0)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6072, 1047, 5569, 5611, 5649])).
% 134.92/85.59 tff(6074,plain,
% 134.92/85.59 (v84(constB118, bitIndex0)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5601, 6073])).
% 134.92/85.59 tff(6075,plain,
% 134.92/85.59 (v123(constB118, bitIndex0)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5526, 6074, 6069])).
% 134.92/85.59 tff(6076,plain,
% 134.92/85.59 (v121(constB117, bitIndex0)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5517, 6075])).
% 134.92/85.59 tff(6077,plain,
% 134.92/85.59 (v124(constB117, bitIndex0)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5509, 6076])).
% 134.92/85.59 tff(6078,plain,
% 134.92/85.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB118, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB118, bitIndex2))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6079,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB118, bitIndex2))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6080,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB118, bitIndex2)),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6079, 6078])).
% 134.92/85.59 tff(6081,plain,
% 134.92/85.59 (v84(constB118, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6080, 805, 767, 5575, 5587, 5611])).
% 134.92/85.59 tff(6082,plain,
% 134.92/85.59 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB118)) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB118)) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6083,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB118)) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6084,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB118)) | (~v84(constB118, bitIndex2)) | v123(constB118, bitIndex2)),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6083, 6082])).
% 134.92/85.59 tff(6085,plain,
% 134.92/85.59 (v123(constB118, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6084, 1344, 767, 6069, 6081])).
% 134.92/85.59 tff(6086,assumption,(v123(constB118, bitIndex2)), introduced(assumption)).
% 134.92/85.59 tff(6087,assumption,(~v121(constB117, bitIndex2)), introduced(assumption)).
% 134.92/85.59 tff(6088,plain,
% 134.92/85.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex2)) | (~v123(constB118, bitIndex2)) | v121(constB117, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex2)) | (~v123(constB118, bitIndex2)) | v121(constB117, bitIndex2))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6089,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex2)) | (~v123(constB118, bitIndex2)) | v121(constB117, bitIndex2))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6090,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex2)) | (~v123(constB118, bitIndex2)) | v121(constB117, bitIndex2)),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6089, 6088])).
% 134.92/85.59 tff(6091,plain,
% 134.92/85.59 ($false),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6090, 1362, 767, 5455, 6087, 6086])).
% 134.92/85.59 tff(6092,plain,((~v123(constB118, bitIndex2)) | v121(constB117, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.59 tff(6093,plain,
% 134.92/85.59 (v121(constB117, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6092, 6085])).
% 134.92/85.59 tff(6094,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex2)) | (~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex2)) | (~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6095,plain,
% 134.92/85.59 ((v26(constB117) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2))) <=> (v26(constB117) | (~less_3(bitIndex2)) | (~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6096,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex2)) | (~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(monotonicity,[status(thm)],[6095])).
% 134.92/85.59 tff(6097,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex2)) | (~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2))),
% 134.92/85.59 inference(transitivity,[status(thm)],[6096, 6094])).
% 134.92/85.59 tff(6098,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex2)) | v124(constB117, bitIndex2) | (~v121(constB117, bitIndex2)))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6099,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex2)) | (~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2)),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6098, 6097])).
% 134.92/85.59 tff(6100,plain,
% 134.92/85.59 (v124(constB117, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6099, 1380, 767, 5440, 6093])).
% 134.92/85.59 tff(6101,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB117)) | (~v124(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6102,plain,
% 134.92/85.59 (((~v145(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6103,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB117)) | (~v124(constB117, bitIndex2))))),
% 134.92/85.59 inference(monotonicity,[status(thm)],[6102])).
% 134.92/85.59 tff(6104,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(transitivity,[status(thm)],[6103, 6101])).
% 134.92/85.59 tff(6105,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b010(bitIndex2))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6106,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB117)) | (~v124(constB117, bitIndex2))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 134.92/85.59 tff(6107,plain,
% 134.92/85.59 (~v145(constB117)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6106, 1419, 1416, 767, 6100])).
% 134.92/85.59 tff(6108,assumption,(v116(constB117)), introduced(assumption)).
% 134.92/85.59 tff(6109,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB117)) | (~v124(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6110,plain,
% 134.92/85.59 (((~v116(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6111,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB117)) | (~v124(constB117, bitIndex0))))),
% 134.92/85.59 inference(monotonicity,[status(thm)],[6110])).
% 134.92/85.59 tff(6112,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(transitivity,[status(thm)],[6111, 6109])).
% 134.92/85.59 tff(6113,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b100(bitIndex0))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6114,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB117)) | (~v124(constB117, bitIndex0))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6113, 6112])).
% 134.92/85.59 tff(6115,plain,
% 134.92/85.59 ($false),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6114, 2386, 2164, 795, 6108, 5490])).
% 134.92/85.59 tff(6116,plain,((~v124(constB117, bitIndex0)) | (~v116(constB117))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.59 tff(6117,plain,
% 134.92/85.59 (~v116(constB117)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6116, 6077])).
% 134.92/85.59 tff(6118,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB117)) | (~v124(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6119,plain,
% 134.92/85.59 (((~v118(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6120,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB117)) | (~v124(constB117, bitIndex2))))),
% 134.92/85.59 inference(monotonicity,[status(thm)],[6119])).
% 134.92/85.59 tff(6121,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(transitivity,[status(thm)],[6120, 6118])).
% 134.92/85.59 tff(6122,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b011(bitIndex2))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6123,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB117)) | (~v124(constB117, bitIndex2))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 134.92/85.59 tff(6124,plain,
% 134.92/85.59 (~v118(constB117)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6123, 2030, 2027, 767, 6100])).
% 134.92/85.59 tff(6125,assumption,(v172(constB117)), introduced(assumption)).
% 134.92/85.59 tff(6126,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB117)) | (~v124(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6127,plain,
% 134.92/85.59 (((~v172(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6128,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB117)) | (~v124(constB117, bitIndex0))))),
% 134.92/85.59 inference(monotonicity,[status(thm)],[6127])).
% 134.92/85.59 tff(6129,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(transitivity,[status(thm)],[6128, 6126])).
% 134.92/85.59 tff(6130,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b110(bitIndex0))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6131,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB117)) | (~v124(constB117, bitIndex0))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 134.92/85.59 tff(6132,plain,
% 134.92/85.59 ($false),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6131, 1997, 1994, 795, 6125, 5490])).
% 134.92/85.59 tff(6133,plain,((~v124(constB117, bitIndex0)) | (~v172(constB117))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.59 tff(6134,plain,
% 134.92/85.59 (~v172(constB117)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6133, 6077])).
% 134.92/85.59 tff(6135,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB117)) | (~v124(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6136,plain,
% 134.92/85.59 (((~v115(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6137,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB117)) | (~v124(constB117, bitIndex2))))),
% 134.92/85.59 inference(monotonicity,[status(thm)],[6136])).
% 134.92/85.59 tff(6138,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB117)) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(transitivity,[status(thm)],[6137, 6135])).
% 134.92/85.59 tff(6139,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB117)) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b011(bitIndex2))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6140,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB117)) | (~v124(constB117, bitIndex2))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6139, 6138])).
% 134.92/85.59 tff(6141,plain,
% 134.92/85.59 (~v115(constB117)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6140, 2030, 2257, 767, 6100])).
% 134.92/85.59 tff(6142,assumption,(v124(constB117, bitIndex2)), introduced(assumption)).
% 134.92/85.59 tff(6143,assumption,(~v115(constB117)), introduced(assumption)).
% 134.92/85.59 tff(6144,assumption,(~v116(constB117)), introduced(assumption)).
% 134.92/85.59 tff(6145,assumption,(~v118(constB117)), introduced(assumption)).
% 134.92/85.59 tff(6146,assumption,(~v172(constB117)), introduced(assumption)).
% 134.92/85.59 tff(6147,assumption,(~v113(constB117)), introduced(assumption)).
% 134.92/85.59 tff(6148,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6149,plain,
% 134.92/85.59 ((v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6150,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex2))))),
% 134.92/85.59 inference(monotonicity,[status(thm)],[6149])).
% 134.92/85.59 tff(6151,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex2)))),
% 134.92/85.59 inference(transitivity,[status(thm)],[6150, 6148])).
% 134.92/85.59 tff(6152,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex2)) | (~v124(constB117, bitIndex2)) | b001(bitIndex2))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6153,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex2))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 134.92/85.59 tff(6154,plain,
% 134.92/85.59 ($false),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6153, 2427, 2424, 767, 2, 6147, 6146, 6145, 6144, 6143, 6142])).
% 134.92/85.59 tff(6155,plain,((~v124(constB117, bitIndex2)) | v145(constB117) | v113(constB117) | v172(constB117) | v118(constB117) | v116(constB117) | v115(constB117)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.59 tff(6156,plain,
% 134.92/85.59 (v113(constB117)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6155, 6141, 6134, 6100, 6124, 6117, 6107])).
% 134.92/85.59 tff(6157,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB117)) | (~v124(constB117, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6158,plain,
% 134.92/85.59 (((~v113(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6159,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB117)) | (~v124(constB117, bitIndex0))))),
% 134.92/85.59 inference(monotonicity,[status(thm)],[6158])).
% 134.92/85.59 tff(6160,plain,
% 134.92/85.59 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB117)) | (~v124(constB117, bitIndex0)))),
% 134.92/85.59 inference(transitivity,[status(thm)],[6159, 6157])).
% 134.92/85.59 tff(6161,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB117)) | (~less_3(bitIndex0)) | (~v124(constB117, bitIndex0)) | b100(bitIndex0))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6162,plain,
% 134.92/85.59 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB117)) | (~v124(constB117, bitIndex0))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6161, 6160])).
% 134.92/85.59 tff(6163,plain,
% 134.92/85.59 ($false),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6162, 2386, 2186, 795, 6156, 6077])).
% 134.92/85.59 tff(6164,plain,((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | v172(constB119)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.59 tff(6165,plain,
% 134.92/85.59 (~v84(constB119, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6164, 5569, 5649])).
% 134.92/85.59 tff(6166,plain,
% 134.92/85.59 (v123(constB120, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5933, 6165, 5594])).
% 134.92/85.59 tff(6167,plain,
% 134.92/85.59 (v121(constB119, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5685, 6166])).
% 134.92/85.59 tff(6168,plain,
% 134.92/85.59 (v124(constB119, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5674, 6167])).
% 134.92/85.59 tff(6169,plain,
% 134.92/85.59 (~v84(constB118, bitIndex2)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5775, 6165])).
% 134.92/85.59 tff(6170,plain,
% 134.92/85.59 (v84(constB118, bitIndex0)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[5903, 6169, 2])).
% 134.92/85.59 tff(6171,plain,
% 134.92/85.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex0)) | v84(constB119, bitIndex0) | (~v84(constB118, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex0)) | v84(constB119, bitIndex0) | (~v84(constB118, bitIndex0)))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.59 tff(6172,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex0)) | v84(constB119, bitIndex0) | (~v84(constB118, bitIndex0)))),
% 134.92/85.59 inference(quant_inst,[status(thm)],[])).
% 134.92/85.59 tff(6173,plain,
% 134.92/85.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex0)) | v84(constB119, bitIndex0) | (~v84(constB118, bitIndex0))),
% 134.92/85.59 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 134.92/85.59 tff(6174,plain,
% 134.92/85.59 ($false),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6173, 777, 795, 5575, 5587, 5603, 5520])).
% 134.92/85.59 tff(6175,plain,(v84(constB119, bitIndex0) | (~v84(constB118, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.59 tff(6176,plain,
% 134.92/85.59 (v84(constB119, bitIndex0)),
% 134.92/85.59 inference(unit_resolution,[status(thm)],[6175, 6170])).
% 134.92/85.59 tff(6177,plain,
% 134.92/85.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v145(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v145(constB119))),
% 134.92/85.59 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6178,plain,
% 134.92/85.60 (((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119)) <=> (v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v145(constB119))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6179,plain,
% 134.92/85.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v145(constB119)))),
% 134.92/85.60 inference(monotonicity,[status(thm)],[6178])).
% 134.92/85.60 tff(6180,plain,
% 134.92/85.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v145(constB119))),
% 134.92/85.60 inference(transitivity,[status(thm)],[6179, 6177])).
% 134.92/85.60 tff(6181,plain,
% 134.92/85.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v145(constB119))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6182,plain,
% 134.92/85.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v145(constB119)),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 134.92/85.60 tff(6183,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6182, 865, 5651, 5569, 5766, 5596])).
% 134.92/85.60 tff(6184,plain,(v145(constB119) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6185,plain,
% 134.92/85.60 (v145(constB119)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6184, 6176, 5569, 6165])).
% 134.92/85.60 tff(6186,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB119)) | (~v124(constB119, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB119)) | (~v124(constB119, bitIndex2)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6187,plain,
% 134.92/85.60 (((~v145(constB119)) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB119)) | (~v124(constB119, bitIndex2)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6188,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB119)) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB119)) | (~v124(constB119, bitIndex2))))),
% 134.92/85.60 inference(monotonicity,[status(thm)],[6187])).
% 134.92/85.60 tff(6189,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB119)) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB119)) | (~v124(constB119, bitIndex2)))),
% 134.92/85.60 inference(transitivity,[status(thm)],[6188, 6186])).
% 134.92/85.60 tff(6190,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB119)) | (~less_3(bitIndex2)) | (~v124(constB119, bitIndex2)) | b010(bitIndex2))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6191,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB119)) | (~v124(constB119, bitIndex2))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 134.92/85.60 tff(6192,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6191, 1419, 1416, 767, 6185, 6168])).
% 134.92/85.60 tff(6193,plain,(v84(constB119, bitIndex1) | v145(constB117) | (~v84(constB120, bitIndex2)) | v172(constB119)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6194,plain,
% 134.92/85.60 (v84(constB119, bitIndex1)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6193, 6053, 5594, 2])).
% 134.92/85.60 tff(6195,plain,
% 134.92/85.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB119, bitIndex1)) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB119, bitIndex1)) | (~v145(constB119)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6196,plain,
% 134.92/85.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB119, bitIndex1)) | (~v145(constB119)))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6197,plain,
% 134.92/85.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB119, bitIndex1)) | (~v145(constB119))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6196, 6195])).
% 134.92/85.60 tff(6198,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6197, 816, 5604, 5619])).
% 134.92/85.60 tff(6199,plain,((~v145(constB119)) | (~v84(constB119, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6200,plain,
% 134.92/85.60 (~v145(constB119)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6199, 6194])).
% 134.92/85.60 tff(6201,plain,
% 134.92/85.60 (~v118(constB119)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5632, 6194])).
% 134.92/85.60 tff(6202,plain,
% 134.92/85.60 (v123(constB120, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5689, 1344, 767, 5313, 5594])).
% 134.92/85.60 tff(6203,plain,
% 134.92/85.60 (v121(constB119, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5685, 6202])).
% 134.92/85.60 tff(6204,plain,
% 134.92/85.60 (v124(constB119, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5674, 6203])).
% 134.92/85.60 tff(6205,plain,
% 134.92/85.60 (~v115(constB119)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5918, 6204])).
% 134.92/85.60 tff(6206,plain,
% 134.92/85.60 (~v84(constB119, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5763, 5603, 5594, 5619])).
% 134.92/85.60 tff(6207,plain,
% 134.92/85.60 (~v145(constB117)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5937, 5594])).
% 134.92/85.60 tff(6208,plain,
% 134.92/85.60 (~v84(constB118, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6175, 5603])).
% 134.92/85.60 tff(6209,plain,
% 134.92/85.60 (v84(constB118, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5903, 6208, 6207])).
% 134.92/85.60 tff(6210,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5775, 6209, 6206])).
% 134.92/85.60 tff(6211,plain,(v84(constB119, bitIndex0) | (~v84(constB120, bitIndex2)) | (~v84(constB119, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6212,plain,
% 134.92/85.60 (v84(constB119, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6211, 6194, 5594])).
% 134.92/85.60 tff(6213,plain,
% 134.92/85.60 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v113(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB119, bitIndex0)) | (~v113(constB119)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6214,plain,
% 134.92/85.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v113(constB119)))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6215,plain,
% 134.92/85.60 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB119, bitIndex0)) | (~v113(constB119))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 134.92/85.60 tff(6216,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6215, 2764, 5634, 5596])).
% 134.92/85.60 tff(6217,plain,((~v113(constB119)) | (~v84(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6218,plain,
% 134.92/85.60 (~v113(constB119)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6217, 6212])).
% 134.92/85.60 tff(6219,plain,
% 134.92/85.60 (v116(constB119)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5659, 6218, 6204, 6053, 6205, 6201, 6200])).
% 134.92/85.60 tff(6220,assumption,(v124(constB119, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6221,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB119)) | (~v124(constB119, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB119)) | (~v124(constB119, bitIndex0)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6222,plain,
% 134.92/85.60 (((~v116(constB119)) | (~less_3(bitIndex0)) | (~v124(constB119, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB119)) | (~v124(constB119, bitIndex0)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6223,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB119)) | (~less_3(bitIndex0)) | (~v124(constB119, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB119)) | (~v124(constB119, bitIndex0))))),
% 134.92/85.60 inference(monotonicity,[status(thm)],[6222])).
% 134.92/85.60 tff(6224,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB119)) | (~less_3(bitIndex0)) | (~v124(constB119, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB119)) | (~v124(constB119, bitIndex0)))),
% 134.92/85.60 inference(transitivity,[status(thm)],[6223, 6221])).
% 134.92/85.60 tff(6225,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB119)) | (~less_3(bitIndex0)) | (~v124(constB119, bitIndex0)) | b100(bitIndex0))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6226,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB119)) | (~v124(constB119, bitIndex0))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 134.92/85.60 tff(6227,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6226, 2386, 2164, 795, 5612, 6220])).
% 134.92/85.60 tff(6228,plain,((~v116(constB119)) | (~v124(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6229,plain,
% 134.92/85.60 (~v124(constB119, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6228, 6219])).
% 134.92/85.60 tff(6230,assumption,(v121(constB119, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6231,assumption,(~v124(constB119, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6232,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex0)) | (~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex0)) | (~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6233,plain,
% 134.92/85.60 ((v26(constB119) | (~less_3(bitIndex0)) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0))) <=> (v26(constB119) | (~less_3(bitIndex0)) | (~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6234,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex0)) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex0)) | (~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0)))),
% 134.92/85.60 inference(monotonicity,[status(thm)],[6233])).
% 134.92/85.60 tff(6235,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex0)) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex0)) | (~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0))),
% 134.92/85.60 inference(transitivity,[status(thm)],[6234, 6232])).
% 134.92/85.60 tff(6236,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB119) | (~less_3(bitIndex0)) | v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0)))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6237,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB119) | (~less_3(bitIndex0)) | (~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0)),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 134.92/85.60 tff(6238,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6237, 1380, 795, 5666, 6231, 6230])).
% 134.92/85.60 tff(6239,plain,(v124(constB119, bitIndex0) | (~v121(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6240,plain,
% 134.92/85.60 (~v121(constB119, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6239, 6229])).
% 134.92/85.60 tff(6241,assumption,(v123(constB120, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6242,assumption,(~v121(constB119, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6243,plain,
% 134.92/85.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB119, constB120)) | (~less_3(bitIndex0)) | (~v123(constB120, bitIndex0)) | v121(constB119, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB119, constB120)) | (~less_3(bitIndex0)) | (~v123(constB120, bitIndex0)) | v121(constB119, bitIndex0))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6244,plain,
% 134.92/85.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB119, constB120)) | (~less_3(bitIndex0)) | (~v123(constB120, bitIndex0)) | v121(constB119, bitIndex0))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6245,plain,
% 134.92/85.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB119, constB120)) | (~less_3(bitIndex0)) | (~v123(constB120, bitIndex0)) | v121(constB119, bitIndex0)),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6244, 6243])).
% 134.92/85.60 tff(6246,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6245, 1362, 795, 5680, 6242, 6241])).
% 134.92/85.60 tff(6247,plain,((~v123(constB120, bitIndex0)) | v121(constB119, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6248,plain,
% 134.92/85.60 (~v123(constB120, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6247, 6240])).
% 134.92/85.60 tff(6249,assumption,(~v123(constB120, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6250,assumption,(v84(constB120, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6251,plain,
% 134.92/85.60 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB120)) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB120)) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6252,plain,
% 134.92/85.60 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB120)) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6253,plain,
% 134.92/85.60 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB120)) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0)),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6252, 6251])).
% 134.92/85.60 tff(6254,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6253, 1344, 795, 5313, 6250, 6249])).
% 134.92/85.60 tff(6255,plain,((~v84(constB120, bitIndex0)) | (~v94(constB120)) | v123(constB120, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6256,plain,
% 134.92/85.60 (~v84(constB120, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6255, 6248, 5313])).
% 134.92/85.60 tff(6257,assumption,(v84(constB121, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6258,assumption,(~v84(constB120, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6259,plain,
% 134.92/85.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex0)) | (~v84(constB121, bitIndex0)) | v84(constB120, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex0)) | (~v84(constB121, bitIndex0)) | v84(constB120, bitIndex0))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6260,plain,
% 134.92/85.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex0)) | (~v84(constB121, bitIndex0)) | v84(constB120, bitIndex0))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6261,plain,
% 134.92/85.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex0)) | (~v84(constB121, bitIndex0)) | v84(constB120, bitIndex0)),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6260, 6259])).
% 134.92/85.60 tff(6262,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6261, 805, 795, 5294, 5306, 6258, 6257])).
% 134.92/85.60 tff(6263,plain,((~v84(constB121, bitIndex0)) | v84(constB120, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6264,plain,
% 134.92/85.60 (~v84(constB121, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6263, 6256])).
% 134.92/85.60 tff(6265,plain,
% 134.92/85.60 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB121, bitIndex0) | (~v118(constB121)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB121, bitIndex0) | (~v118(constB121)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6266,plain,
% 134.92/85.60 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB121, bitIndex0) | (~v118(constB121)))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6267,plain,
% 134.92/85.60 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB121, bitIndex0) | (~v118(constB121))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 134.92/85.60 tff(6268,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6267, 2642, 6264, 5994])).
% 134.92/85.60 tff(6269,plain,((~v116(constB123)) | (~v94(constB120)) | (~v84(constB120, bitIndex2)) | v145(constB117) | v145(constB121) | v115(constB121) | v113(constB121) | v116(constB121)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6270,plain,
% 134.92/85.60 (~v116(constB123)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6269, 5341, 5313, 5938, 5333, 5312, 5337, 5323])).
% 134.92/85.60 tff(6271,plain,
% 134.92/85.60 (v84(constB124, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4420, 6270, 3906])).
% 134.92/85.60 tff(6272,plain,
% 134.92/85.60 (v84(constB125, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4446, 6271])).
% 134.92/85.60 tff(6273,plain,
% 134.92/85.60 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB125) | (~v119(constB125)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB125) | (~v119(constB125)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6274,plain,
% 134.92/85.60 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB125) | (~v119(constB125)))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6275,plain,
% 134.92/85.60 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB125) | (~v119(constB125))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 134.92/85.60 tff(6276,plain,
% 134.92/85.60 (~v119(constB125)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6275, 1927, 4600])).
% 134.92/85.60 tff(6277,plain,
% 134.92/85.60 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | v119(constB125) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB125, bitIndex0) | v119(constB125) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6278,plain,
% 134.92/85.60 ((v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125)) <=> (v84(constB125, bitIndex0) | v119(constB125) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6279,plain,
% 134.92/85.60 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | v119(constB125) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2))))),
% 134.92/85.60 inference(monotonicity,[status(thm)],[6278])).
% 134.92/85.60 tff(6280,plain,
% 134.92/85.60 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB125, bitIndex0) | v119(constB125) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)))),
% 134.92/85.60 inference(transitivity,[status(thm)],[6279, 6277])).
% 134.92/85.60 tff(6281,plain,
% 134.92/85.60 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2)) | v119(constB125))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6282,plain,
% 134.92/85.60 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB125, bitIndex0) | v119(constB125) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6281, 6280])).
% 134.92/85.60 tff(6283,plain,
% 134.92/85.60 (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex2))),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6282, 1910, 4505, 6276])).
% 134.92/85.60 tff(6284,plain,
% 134.92/85.60 (v84(constB125, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6283, 6272])).
% 134.92/85.60 tff(6285,plain,
% 134.92/85.60 (~v115(constB125)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4717, 3011, 6284])).
% 134.92/85.60 tff(6286,plain,
% 134.92/85.60 (~v108(constB125)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4784, 658, 4600])).
% 134.92/85.60 tff(6287,plain,
% 134.92/85.60 (~v109(constB125)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4788, 669, 6286])).
% 134.92/85.60 tff(6288,plain,
% 134.92/85.60 (~v110(constB125)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4792, 680, 6287])).
% 134.92/85.60 tff(6289,plain,
% 134.92/85.60 (~v116(constB125)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4804, 934, 6288])).
% 134.92/85.60 tff(6290,plain,
% 134.92/85.60 (v84(constB125, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5020, 6289, 5011, 4585])).
% 134.92/85.60 tff(6291,plain,
% 134.92/85.60 (v84(constB124, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5041, 6290])).
% 134.92/85.60 tff(6292,plain,
% 134.92/85.60 (v84(constB125, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6283, 6290])).
% 134.92/85.60 tff(6293,plain,
% 134.92/85.60 (v84(constB124, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5053, 6292])).
% 134.92/85.60 tff(6294,plain,
% 134.92/85.60 (v84(constB121, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5284, 6293, 3906, 4066, 6291])).
% 134.92/85.60 tff(6295,plain,
% 134.92/85.60 (~v115(constB121)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5340, 2665, 6294])).
% 134.92/85.60 tff(6296,plain,
% 134.92/85.60 (~v116(constB121)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5322, 6294])).
% 134.92/85.60 tff(6297,plain,
% 134.92/85.60 (v94(constB122)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4233, 805, 823, 4110, 5316, 6006])).
% 134.92/85.60 tff(6298,plain,
% 134.92/85.60 (~v113(constB121)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5336, 1119, 6294])).
% 134.92/85.60 tff(6299,plain,
% 134.92/85.60 (v84(constB123, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4576, 805, 795, 3912, 3906, 6293])).
% 134.92/85.60 tff(6300,assumption,(~v84(constB122, bitIndex0)), introduced(assumption)).
% 134.92/85.60 tff(6301,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5164, 805, 795, 4086, 4098, 6300, 4470])).
% 134.92/85.60 tff(6302,plain,((~v84(constB123, bitIndex0)) | v84(constB122, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6303,plain,
% 134.92/85.60 (v84(constB122, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6302, 6299])).
% 134.92/85.60 tff(6304,plain,
% 134.92/85.60 (v84(constB123, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[4458, 805, 767, 3912, 3906, 6291])).
% 134.92/85.60 tff(6305,plain,
% 134.92/85.60 (v84(constB122, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5160, 6304])).
% 134.92/85.60 tff(6306,assumption,(v94(constB122)), introduced(assumption)).
% 134.92/85.60 tff(6307,plain,
% 134.92/85.60 (v123(constB122, bitIndex1)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5183, 6306])).
% 134.92/85.60 tff(6308,plain,
% 134.92/85.60 (v121(constB121, bitIndex1)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5187, 1362, 823, 4110, 6307])).
% 134.92/85.60 tff(6309,plain,
% 134.92/85.60 (v124(constB121, bitIndex1)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5191, 1380, 823, 4156, 6308])).
% 134.92/85.60 tff(6310,plain,
% 134.92/85.60 (v123(constB122, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5216, 6306])).
% 134.92/85.60 tff(6311,plain,
% 134.92/85.60 (v121(constB121, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5223, 1362, 767, 4110, 6310])).
% 134.92/85.60 tff(6312,plain,
% 134.92/85.60 (v124(constB121, bitIndex2)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5230, 1380, 767, 4156, 6311])).
% 134.92/85.60 tff(6313,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB121)) | (~v124(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6314,plain,
% 134.92/85.60 (((~v118(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6315,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB121)) | (~v124(constB121, bitIndex2))))),
% 134.92/85.60 inference(monotonicity,[status(thm)],[6314])).
% 134.92/85.60 tff(6316,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB121)) | (~v124(constB121, bitIndex2)))),
% 134.92/85.60 inference(transitivity,[status(thm)],[6315, 6313])).
% 134.92/85.60 tff(6317,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB121)) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b011(bitIndex2))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6318,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB121)) | (~v124(constB121, bitIndex2))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 134.92/85.60 tff(6319,plain,
% 134.92/85.60 (~v118(constB121)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6318, 2030, 2027, 767, 6312])).
% 134.92/85.60 tff(6320,plain,
% 134.92/85.60 (v123(constB122, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5196, 6306])).
% 134.92/85.60 tff(6321,plain,
% 134.92/85.60 (v121(constB121, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5200, 1362, 795, 4110, 6320])).
% 134.92/85.60 tff(6322,plain,
% 134.92/85.60 (v124(constB121, bitIndex0)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5204, 1380, 795, 4156, 6321])).
% 134.92/85.60 tff(6323,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB121)) | (~v124(constB121, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6324,plain,
% 134.92/85.60 (((~v172(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.92/85.60 inference(rewrite,[status(thm)],[])).
% 134.92/85.60 tff(6325,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB121)) | (~v124(constB121, bitIndex0))))),
% 134.92/85.60 inference(monotonicity,[status(thm)],[6324])).
% 134.92/85.60 tff(6326,plain,
% 134.92/85.60 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB121)) | (~v124(constB121, bitIndex0)))),
% 134.92/85.60 inference(transitivity,[status(thm)],[6325, 6323])).
% 134.92/85.60 tff(6327,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b110(bitIndex0))),
% 134.92/85.60 inference(quant_inst,[status(thm)],[])).
% 134.92/85.60 tff(6328,plain,
% 134.92/85.60 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB121)) | (~v124(constB121, bitIndex0))),
% 134.92/85.60 inference(modus_ponens,[status(thm)],[6327, 6326])).
% 134.92/85.60 tff(6329,plain,
% 134.92/85.60 (~v172(constB121)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6328, 1997, 1994, 795, 6322])).
% 134.92/85.60 tff(6330,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5280, 2601, 2424, 823, 5941, 4254, 5940, 6329, 6319, 5939, 6309])).
% 134.92/85.60 tff(6331,plain,((~v94(constB122)) | v145(constB121) | v115(constB121) | v113(constB121) | v116(constB121) | (~v84(constB122, bitIndex1)) | (~v84(constB122, bitIndex0)) | (~v84(constB122, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6332,plain,
% 134.92/85.60 ($false),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6331, 6305, 6303, 6298, 5316, 6297, 6296, 6295, 5941])).
% 134.92/85.60 tff(6333,plain,(v94(constB124) | v145(constB121) | v84(constB121, bitIndex1) | v115(constB125)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.60 tff(6334,plain,
% 134.92/85.60 (v84(constB121, bitIndex1)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6333, 6285, 3906, 5333])).
% 134.92/85.60 tff(6335,plain,
% 134.92/85.60 (~v124(constB121, bitIndex1)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[6004, 6334, 5341, 5337, 5333, 5323])).
% 134.92/85.60 tff(6336,plain,
% 134.92/85.60 (~v121(constB121, bitIndex1)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5967, 6335])).
% 134.92/85.60 tff(6337,plain,
% 134.92/85.60 (~v123(constB122, bitIndex1)),
% 134.92/85.60 inference(unit_resolution,[status(thm)],[5962, 6336])).
% 134.92/85.61 tff(6338,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5182, 1344, 823, 6306, 4318, 5953])).
% 134.92/85.61 tff(6339,plain,((~v84(constB122, bitIndex1)) | (~v94(constB122)) | v123(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6340,plain,
% 134.92/85.61 (~v94(constB122)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6339, 6337, 5316])).
% 134.92/85.61 tff(6341,plain,
% 134.92/85.61 (v84(constB122, bitIndex2)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[4282, 4105])).
% 134.92/85.61 tff(6342,assumption,(~v106(constB121)), introduced(assumption)).
% 134.92/85.61 tff(6343,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB121)) | v26(constB121) | v106(constB121))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB121)) | v26(constB121) | v106(constB121))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6344,plain,
% 134.92/85.61 ((v26(constB121) | v106(constB121) | (~v102(constB121))) <=> ((~v102(constB121)) | v26(constB121) | v106(constB121))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6345,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB121) | v106(constB121) | (~v102(constB121)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB121)) | v26(constB121) | v106(constB121)))),
% 134.92/85.61 inference(monotonicity,[status(thm)],[6344])).
% 134.92/85.61 tff(6346,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB121) | v106(constB121) | (~v102(constB121)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB121)) | v26(constB121) | v106(constB121))),
% 134.92/85.61 inference(transitivity,[status(thm)],[6345, 6343])).
% 134.92/85.61 tff(6347,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB121) | v106(constB121) | (~v102(constB121)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6348,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB121)) | v26(constB121) | v106(constB121)),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6347, 6346])).
% 134.92/85.61 tff(6349,plain,
% 134.92/85.61 ((~v102(constB121)) | v106(constB121)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6348, 3146, 4156])).
% 134.92/85.61 tff(6350,plain,
% 134.92/85.61 (~v102(constB121)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6349, 6342])).
% 134.92/85.61 tff(6351,plain,
% 134.92/85.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB121, constB122)) | (~v104(constB122)) | v102(constB121))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB121, constB122)) | (~v104(constB122)) | v102(constB121))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6352,plain,
% 134.92/85.61 (((~nextState(constB121, constB122)) | v102(constB121) | (~v104(constB122))) <=> ((~nextState(constB121, constB122)) | (~v104(constB122)) | v102(constB121))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6353,plain,
% 134.92/85.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB121, constB122)) | v102(constB121) | (~v104(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB121, constB122)) | (~v104(constB122)) | v102(constB121)))),
% 134.92/85.61 inference(monotonicity,[status(thm)],[6352])).
% 134.92/85.61 tff(6354,plain,
% 134.92/85.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB121, constB122)) | v102(constB121) | (~v104(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB121, constB122)) | (~v104(constB122)) | v102(constB121))),
% 134.92/85.61 inference(transitivity,[status(thm)],[6353, 6351])).
% 134.92/85.61 tff(6355,plain,
% 134.92/85.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB121, constB122)) | v102(constB121) | (~v104(constB122)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6356,plain,
% 134.92/85.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB121, constB122)) | (~v104(constB122)) | v102(constB121)),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 134.92/85.61 tff(6357,plain,
% 134.92/85.61 ((~v104(constB122)) | v102(constB121)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6356, 3128, 4110])).
% 134.92/85.61 tff(6358,plain,
% 134.92/85.61 (~v104(constB122)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6357, 6350])).
% 134.92/85.61 tff(6359,plain,
% 134.92/85.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v94(constB122)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v94(constB122)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6360,plain,
% 134.92/85.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB121, constB122)) | v104(constB122) | (~v94(constB122)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6361,plain,
% 134.92/85.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB121, constB122)) | v104(constB122) | (~v94(constB122))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 134.92/85.61 tff(6362,plain,
% 134.92/85.61 (v104(constB122) | (~v94(constB122))),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6361, 3113, 4110])).
% 134.92/85.61 tff(6363,plain,
% 134.92/85.61 (~v94(constB122)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6362, 6358])).
% 134.92/85.61 tff(6364,plain,
% 134.92/85.61 (v94(constB122) | v84(constB121, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[4233, 805, 823, 4110, 4318])).
% 134.92/85.61 tff(6365,plain,
% 134.92/85.61 (v84(constB121, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6364, 6363])).
% 134.92/85.61 tff(6366,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v84(constB121, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v84(constB121, bitIndex0)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6367,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v84(constB121, bitIndex0)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6368,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex0)) | v84(constB122, bitIndex0) | (~v84(constB121, bitIndex0))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 134.92/85.61 tff(6369,plain,
% 134.92/85.61 (v94(constB122) | (~v84(constB121, bitIndex0))),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6368, 777, 795, 4110, 6300])).
% 134.92/85.61 tff(6370,plain,
% 134.92/85.61 (~v84(constB121, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6369, 6363])).
% 134.92/85.61 tff(6371,plain,
% 134.92/85.61 (v84(constB121, bitIndex2)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5178, 6363])).
% 134.92/85.61 tff(6372,plain,
% 134.92/85.61 (v119(constB121)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[4251, 1910, 6371, 6370, 6365])).
% 134.92/85.61 tff(6373,plain,
% 134.92/85.61 (~v107(constB121)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[4163, 6342])).
% 134.92/85.61 tff(6374,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[4237, 1927, 6373, 6372])).
% 134.92/85.61 tff(6375,plain,(v106(constB121) | (~v84(constB122, bitIndex1)) | v84(constB122, bitIndex0) | (~v84(constB122, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6376,plain,
% 134.92/85.61 (v84(constB122, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6375, 4152, 4230, 6341])).
% 134.92/85.61 tff(6377,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex0)) | (~v84(constB122, bitIndex0)) | v84(constB121, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex0)) | (~v84(constB122, bitIndex0)) | v84(constB121, bitIndex0))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6378,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex0)) | (~v84(constB122, bitIndex0)) | v84(constB121, bitIndex0))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6379,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB121, constB122)) | v94(constB122) | (~less_3(bitIndex0)) | (~v84(constB122, bitIndex0)) | v84(constB121, bitIndex0)),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6378, 6377])).
% 134.92/85.61 tff(6380,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6379, 805, 795, 4110, 4105, 6376, 4244])).
% 134.92/85.61 tff(6381,plain,(v94(constB122) | v84(constB121, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6382,plain,
% 134.92/85.61 (v84(constB121, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6381, 6340])).
% 134.92/85.61 tff(6383,plain,
% 134.92/85.61 (v84(constB120, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6263, 6382])).
% 134.92/85.61 tff(6384,plain,
% 134.92/85.61 (v123(constB120, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6255, 6383, 5313])).
% 134.92/85.61 tff(6385,plain,
% 134.92/85.61 (v121(constB119, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6247, 6384])).
% 134.92/85.61 tff(6386,plain,
% 134.92/85.61 (v124(constB119, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6239, 6385])).
% 134.92/85.61 tff(6387,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex1)) | (~v84(constB121, bitIndex1)) | v84(constB120, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex1)) | (~v84(constB121, bitIndex1)) | v84(constB120, bitIndex1))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6388,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex1)) | (~v84(constB121, bitIndex1)) | v84(constB120, bitIndex1))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6389,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex1)) | (~v84(constB121, bitIndex1)) | v84(constB120, bitIndex1)),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6388, 6387])).
% 134.92/85.61 tff(6390,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6389, 805, 823, 5294, 5306, 6015, 4243])).
% 134.92/85.61 tff(6391,plain,((~v84(constB121, bitIndex1)) | v84(constB120, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6392,plain,
% 134.92/85.61 (v84(constB120, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6391, 6334])).
% 134.92/85.61 tff(6393,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB120, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB120, bitIndex1)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6394,plain,
% 134.92/85.61 (((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB120, bitIndex1)) | v84(constB119, bitIndex1)) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB120, bitIndex1)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6395,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB120, bitIndex1)) | v84(constB119, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB120, bitIndex1))))),
% 134.92/85.61 inference(monotonicity,[status(thm)],[6394])).
% 134.92/85.61 tff(6396,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB120, bitIndex1)) | v84(constB119, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB120, bitIndex1)))),
% 134.92/85.61 inference(transitivity,[status(thm)],[6395, 6393])).
% 134.92/85.61 tff(6397,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB120, bitIndex1)) | v84(constB119, bitIndex1))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6398,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB119, bitIndex1) | (~v84(constB120, bitIndex1))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6397, 6396])).
% 134.92/85.61 tff(6399,plain,
% 134.92/85.61 (v94(constB120) | v84(constB119, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6398, 805, 823, 5680, 6007])).
% 134.92/85.61 tff(6400,plain,
% 134.92/85.61 (v94(constB120)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6399, 5569])).
% 134.92/85.61 tff(6401,plain,
% 134.92/85.61 ((~v94(constB120)) | v123(constB120, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6253, 1344, 795, 6250])).
% 134.92/85.61 tff(6402,plain,
% 134.92/85.61 (v123(constB120, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6401, 6400])).
% 134.92/85.61 tff(6403,plain,
% 134.92/85.61 (v121(constB119, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6245, 1362, 795, 5680, 6402])).
% 134.92/85.61 tff(6404,plain,
% 134.92/85.61 (v124(constB119, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6239, 6403])).
% 134.92/85.61 tff(6405,plain,
% 134.92/85.61 (v172(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6193, 5569, 5594, 2])).
% 134.92/85.61 tff(6406,plain,
% 134.92/85.61 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB119)) | (~v124(constB119, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB119)) | (~v124(constB119, bitIndex0)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6407,plain,
% 134.92/85.61 (((~v172(constB119)) | (~less_3(bitIndex0)) | (~v124(constB119, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB119)) | (~v124(constB119, bitIndex0)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6408,plain,
% 134.92/85.61 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB119)) | (~less_3(bitIndex0)) | (~v124(constB119, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB119)) | (~v124(constB119, bitIndex0))))),
% 134.92/85.61 inference(monotonicity,[status(thm)],[6407])).
% 134.92/85.61 tff(6409,plain,
% 134.92/85.61 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB119)) | (~less_3(bitIndex0)) | (~v124(constB119, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB119)) | (~v124(constB119, bitIndex0)))),
% 134.92/85.61 inference(transitivity,[status(thm)],[6408, 6406])).
% 134.92/85.61 tff(6410,plain,
% 134.92/85.61 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB119)) | (~less_3(bitIndex0)) | (~v124(constB119, bitIndex0)) | b110(bitIndex0))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6411,plain,
% 134.92/85.61 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB119)) | (~v124(constB119, bitIndex0))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 134.92/85.61 tff(6412,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6411, 1997, 1994, 795, 6405, 6404])).
% 134.92/85.61 tff(6413,plain,(v84(constB119, bitIndex1) | (~v84(constB120, bitIndex0)) | (~v84(constB120, bitIndex1)) | (~v84(constB120, bitIndex2)) | v145(constB117)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6414,plain,
% 134.92/85.61 (v145(constB117)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6413, 5569, 6007, 5594, 6250])).
% 134.92/85.61 tff(6415,plain,
% 134.92/85.61 (v124(constB117, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5536, 6414])).
% 134.92/85.61 tff(6416,plain,
% 134.92/85.61 (~v123(constB118, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5566, 6054, 6069])).
% 134.92/85.61 tff(6417,plain,
% 134.92/85.61 (~v121(constB117, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5555, 6416])).
% 134.92/85.61 tff(6418,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5547, 6417, 6415])).
% 134.92/85.61 tff(6419,plain,(v84(constB119, bitIndex1) | (~v84(constB120, bitIndex1)) | (~v84(constB120, bitIndex2)) | (~v84(constB120, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6420,plain,
% 134.92/85.61 (v84(constB119, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6419, 6383, 5312, 6392])).
% 134.92/85.61 tff(6421,plain,
% 134.92/85.61 (~v145(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6199, 6420])).
% 134.92/85.61 tff(6422,plain,
% 134.92/85.61 (~v118(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5632, 6420])).
% 134.92/85.61 tff(6423,plain,
% 134.92/85.61 (v123(constB120, bitIndex2)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5689, 1344, 767, 5313, 5312])).
% 134.92/85.61 tff(6424,plain,
% 134.92/85.61 (v121(constB119, bitIndex2)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5685, 6423])).
% 134.92/85.61 tff(6425,plain,
% 134.92/85.61 (v124(constB119, bitIndex2)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5674, 6424])).
% 134.92/85.61 tff(6426,plain,
% 134.92/85.61 (~v115(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5918, 6425])).
% 134.92/85.61 tff(6427,plain,
% 134.92/85.61 (~v172(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5625, 6420])).
% 134.92/85.61 tff(6428,plain,
% 134.92/85.61 (v84(constB119, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6211, 6420, 5312])).
% 134.92/85.61 tff(6429,plain,
% 134.92/85.61 (~v113(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6217, 6428])).
% 134.92/85.61 tff(6430,plain,
% 134.92/85.61 (v116(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5659, 6429, 6425, 6427, 6426, 6422, 6421])).
% 134.92/85.61 tff(6431,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6228, 6430, 6386])).
% 134.92/85.61 tff(6432,plain,(v94(constB124) | (~v94(constB120))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6433,plain,
% 134.92/85.61 (~v94(constB120)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6432, 3906])).
% 134.92/85.61 tff(6434,plain,
% 134.92/85.61 (~v104(constB120)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5713, 5920])).
% 134.92/85.61 tff(6435,plain,
% 134.92/85.61 (~v102(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5721, 6434])).
% 134.92/85.61 tff(6436,plain,
% 134.92/85.61 (~v107(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[5741, 6435])).
% 134.92/85.61 tff(6437,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB119) | (~v108(constB119)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB119) | (~v108(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6438,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB119) | (~v108(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6439,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB119) | (~v108(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6438, 6437])).
% 134.92/85.61 tff(6440,plain,
% 134.92/85.61 (~v108(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6439, 658, 6436])).
% 134.92/85.61 tff(6441,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB119) | (~v109(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB119) | (~v109(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6442,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB119) | (~v109(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6443,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB119) | (~v109(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6442, 6441])).
% 134.92/85.61 tff(6444,plain,
% 134.92/85.61 (~v109(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6443, 669, 6440])).
% 134.92/85.61 tff(6445,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB119) | (~v172(constB119)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB119) | (~v172(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6446,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB119) | (~v172(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6447,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB119) | (~v172(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6446, 6445])).
% 134.92/85.61 tff(6448,plain,
% 134.92/85.61 (~v172(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6447, 1033, 6444])).
% 134.92/85.61 tff(6449,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB119) | (~v118(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB119) | (~v118(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6450,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB119) | (~v118(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6451,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB119) | (~v118(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6450, 6449])).
% 134.92/85.61 tff(6452,plain,
% 134.92/85.61 (~v118(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6451, 1004, 6440])).
% 134.92/85.61 tff(6453,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB120, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB120, bitIndex1))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6454,plain,
% 134.92/85.61 (((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v84(constB119, bitIndex1))) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB120, bitIndex1))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6455,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v84(constB119, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB120, bitIndex1)))),
% 134.92/85.61 inference(monotonicity,[status(thm)],[6454])).
% 134.92/85.61 tff(6456,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v84(constB119, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB120, bitIndex1))),
% 134.92/85.61 inference(transitivity,[status(thm)],[6455, 6453])).
% 134.92/85.61 tff(6457,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | v84(constB120, bitIndex1) | (~v84(constB119, bitIndex1)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6458,plain,
% 134.92/85.61 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB120, bitIndex1)),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6457, 6456])).
% 134.92/85.61 tff(6459,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6458, 777, 823, 5680, 5920, 6015, 5619])).
% 134.92/85.61 tff(6460,plain,(v84(constB120, bitIndex1) | v94(constB120) | (~v84(constB119, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6461,plain,
% 134.92/85.61 (~v84(constB119, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6460, 5920, 6015])).
% 134.92/85.61 tff(6462,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB119) | (~v110(constB119)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB119) | (~v110(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6463,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB119) | (~v110(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6464,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB119) | (~v110(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 134.92/85.61 tff(6465,plain,
% 134.92/85.61 (~v110(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6464, 680, 6444])).
% 134.92/85.61 tff(6466,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB119) | (~v111(constB119)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB119) | (~v111(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6467,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB119) | (~v111(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6468,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB119) | (~v111(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6467, 6466])).
% 134.92/85.61 tff(6469,plain,
% 134.92/85.61 (~v111(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6468, 691, 6465])).
% 134.92/85.61 tff(6470,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB119) | (~v112(constB119)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB119) | (~v112(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6471,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB119) | (~v112(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6472,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB119) | (~v112(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 134.92/85.61 tff(6473,plain,
% 134.92/85.61 (~v112(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6472, 702, 6469])).
% 134.92/85.61 tff(6474,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB119) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB119) | (~v145(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6475,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB119) | (~v145(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6476,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB119) | (~v145(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6475, 6474])).
% 134.92/85.61 tff(6477,plain,
% 134.92/85.61 (~v145(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6476, 713, 6473])).
% 134.92/85.61 tff(6478,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB119) | (~v113(constB119)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB119) | (~v113(constB119)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6479,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB119) | (~v113(constB119)))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6480,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB119) | (~v113(constB119))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 134.92/85.61 tff(6481,plain,
% 134.92/85.61 (~v113(constB119)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6480, 969, 6473])).
% 134.92/85.61 tff(6482,plain,
% 134.92/85.61 (v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0))),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6182, 865, 5651])).
% 134.92/85.61 tff(6483,plain,
% 134.92/85.61 (~v84(constB119, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6482, 5569, 5766])).
% 134.92/85.61 tff(6484,plain,
% 134.92/85.61 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB119) | v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB119) | v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6485,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB119) | v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6486,plain,
% 134.92/85.61 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB119) | v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2)),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6485, 6484])).
% 134.92/85.61 tff(6487,plain,
% 134.92/85.61 (v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6486, 983, 5650])).
% 134.92/85.61 tff(6488,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6487, 6483, 5569, 5766])).
% 134.92/85.61 tff(6489,plain,(v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | v113(constB119) | v145(constB119)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6490,plain,
% 134.92/85.61 (v84(constB119, bitIndex2)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6489, 5569, 5651, 5650])).
% 134.92/85.61 tff(6491,plain,
% 134.92/85.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119) | (~v84(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119) | (~v84(constB119, bitIndex0)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6492,plain,
% 134.92/85.61 (((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119)) <=> (v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119) | (~v84(constB119, bitIndex0)))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6493,plain,
% 134.92/85.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119) | (~v84(constB119, bitIndex0))))),
% 134.92/85.61 inference(monotonicity,[status(thm)],[6492])).
% 134.92/85.61 tff(6494,plain,
% 134.92/85.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119) | (~v84(constB119, bitIndex0)))),
% 134.92/85.61 inference(transitivity,[status(thm)],[6493, 6491])).
% 134.92/85.61 tff(6495,plain,
% 134.92/85.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB119, bitIndex0)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119))),
% 134.92/85.61 inference(quant_inst,[status(thm)],[])).
% 134.92/85.61 tff(6496,plain,
% 134.92/85.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | v118(constB119) | (~v84(constB119, bitIndex0))),
% 134.92/85.61 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 134.92/85.61 tff(6497,plain,
% 134.92/85.61 (v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2)) | (~v84(constB119, bitIndex0))),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6496, 1018, 5648])).
% 134.92/85.61 tff(6498,plain,
% 134.92/85.61 (~v84(constB119, bitIndex0)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6497, 6490, 5569])).
% 134.92/85.61 tff(6499,plain,
% 134.92/85.61 (v84(constB119, bitIndex0) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex2))),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6072, 1047, 5649])).
% 134.92/85.61 tff(6500,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6499, 6498, 6490, 5569])).
% 134.92/85.61 tff(6501,plain,(v84(constB119, bitIndex1) | v172(constB119) | v118(constB119) | v145(constB119) | v113(constB119)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6502,plain,
% 134.92/85.61 ($false),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6501, 6481, 6477, 6461, 6452, 6448])).
% 134.92/85.61 tff(6503,plain,(v94(constB120) | v84(constB120, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.61 tff(6504,plain,
% 134.92/85.61 (v84(constB120, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6503, 6433])).
% 134.92/85.61 tff(6505,assumption,(v94(constB108)), introduced(assumption)).
% 134.92/85.61 tff(6506,plain,
% 134.92/85.61 (v84(constB119, bitIndex1)),
% 134.92/85.61 inference(unit_resolution,[status(thm)],[6399, 5920])).
% 134.92/85.61 tff(6507,plain,
% 134.92/85.61 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB118, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB118, bitIndex1))),
% 134.92/85.61 inference(rewrite,[status(thm)],[])).
% 134.92/85.61 tff(6508,plain,
% 134.92/85.62 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB118, bitIndex1))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6509,plain,
% 134.92/85.62 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB118, constB119)) | v94(constB119) | (~less_3(bitIndex1)) | (~v84(constB119, bitIndex1)) | v84(constB118, bitIndex1)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 134.92/85.62 tff(6510,plain,
% 134.92/85.62 ($false),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6509, 805, 823, 5575, 5587, 5619, 5558])).
% 134.92/85.62 tff(6511,plain,(v84(constB118, bitIndex1) | (~v84(constB119, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.62 tff(6512,plain,
% 134.92/85.62 (v84(constB118, bitIndex1)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6511, 6506])).
% 134.92/85.62 tff(6513,plain,
% 134.92/85.62 (v84(constB119, bitIndex2)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[5928, 5920, 5594])).
% 134.92/85.62 tff(6514,plain,
% 134.92/85.62 ($false),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6080, 805, 767, 5575, 5587, 5611, 5777])).
% 134.92/85.62 tff(6515,plain,((~v84(constB119, bitIndex2)) | v84(constB118, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.62 tff(6516,plain,
% 134.92/85.62 (v84(constB118, bitIndex2)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6515, 6513])).
% 134.92/85.62 tff(6517,plain,
% 134.92/85.62 (v84(constB119, bitIndex0)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6211, 6506, 5594])).
% 134.92/85.62 tff(6518,plain,
% 134.92/85.62 (v84(constB118, bitIndex0)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[5601, 6517])).
% 134.92/85.62 tff(6519,assumption,(~v145(constB105)), introduced(assumption)).
% 134.92/85.62 tff(6520,assumption,(v113(constB117)), introduced(assumption)).
% 134.92/85.62 tff(6521,plain,
% 134.92/85.62 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB117)) | (~v84(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB117)) | (~v84(constB117, bitIndex2)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6522,plain,
% 134.92/85.62 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB117)) | (~v84(constB117, bitIndex2)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6523,plain,
% 134.92/85.62 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB117)) | (~v84(constB117, bitIndex2))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6522, 6521])).
% 134.92/85.62 tff(6524,plain,
% 134.92/85.62 (~v84(constB117, bitIndex2)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6523, 1119, 6520])).
% 134.92/85.62 tff(6525,assumption,(~v84(constB117, bitIndex2)), introduced(assumption)).
% 134.92/85.62 tff(6526,assumption,(v84(constB116, bitIndex2)), introduced(assumption)).
% 134.92/85.62 tff(6527,plain,
% 134.92/85.62 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6528,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_116_1')).
% 134.92/85.62 tff(6529,plain,
% 134.92/85.62 (nextState(constB116, constB117)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 134.92/85.62 tff(6530,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6531,plain,
% 134.92/85.62 (((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117)) <=> (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6532,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))))),
% 134.92/85.62 inference(monotonicity,[status(thm)],[6531])).
% 134.92/85.62 tff(6533,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117)))),
% 134.92/85.62 inference(transitivity,[status(thm)],[6532, 6530])).
% 134.92/85.62 tff(6534,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB116, constB117)) | (~v95(constB117)) | v1(constB117))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6535,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB117) | (~nextState(constB116, constB117)) | (~v95(constB117))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6534, 6533])).
% 134.92/85.62 tff(6536,plain,
% 134.92/85.62 (~v95(constB117)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6535, 742, 6529, 5466])).
% 134.92/85.62 tff(6537,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6538,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6539,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB116, constB117)) | v95(constB117) | (~v94(constB117))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 134.92/85.62 tff(6540,plain,
% 134.92/85.62 (v95(constB117) | (~v94(constB117))),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6539, 759, 6529])).
% 134.92/85.62 tff(6541,plain,
% 134.92/85.62 (~v94(constB117)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6540, 6536])).
% 134.92/85.62 tff(6542,plain,
% 134.92/85.62 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB116, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB116, bitIndex2)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6543,plain,
% 134.92/85.62 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB116, bitIndex2)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6544,plain,
% 134.92/85.62 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB116, bitIndex2))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 134.92/85.62 tff(6545,plain,
% 134.92/85.62 ($false),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6544, 777, 767, 6529, 6541, 6526, 6525])).
% 134.92/85.62 tff(6546,plain,(v84(constB117, bitIndex2) | (~v84(constB116, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.62 tff(6547,plain,
% 134.92/85.62 (~v84(constB116, bitIndex2)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6546, 6524])).
% 134.92/85.62 tff(6548,plain,
% 134.92/85.62 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB117, bitIndex0)) | (~v113(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB117, bitIndex0)) | (~v113(constB117)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6549,plain,
% 134.92/85.62 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB117, bitIndex0)) | (~v113(constB117)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6550,plain,
% 134.92/85.62 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB117, bitIndex0)) | (~v113(constB117))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6549, 6548])).
% 134.92/85.62 tff(6551,plain,
% 134.92/85.62 (~v84(constB117, bitIndex0)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6550, 2764, 6520])).
% 134.92/85.62 tff(6552,assumption,(v84(constB116, bitIndex0)), introduced(assumption)).
% 134.92/85.62 tff(6553,plain,
% 134.92/85.62 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB116, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB116, bitIndex0)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6554,plain,
% 134.92/85.62 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB116, bitIndex0)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6555,plain,
% 134.92/85.62 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB116, bitIndex0))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6554, 6553])).
% 134.92/85.62 tff(6556,plain,
% 134.92/85.62 ($false),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6555, 777, 795, 6529, 6541, 6552, 5356])).
% 134.92/85.62 tff(6557,plain,(v84(constB117, bitIndex0) | (~v84(constB116, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.62 tff(6558,plain,
% 134.92/85.62 (~v84(constB116, bitIndex0)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6557, 6551])).
% 134.92/85.62 tff(6559,assumption,(~v84(constB116, bitIndex0)), introduced(assumption)).
% 134.92/85.62 tff(6560,assumption,(~v94(constB108)), introduced(assumption)).
% 134.92/85.62 tff(6561,assumption,(~v84(constB110, bitIndex2)), introduced(assumption)).
% 134.92/85.62 tff(6562,plain,
% 134.92/85.62 ((~v1(constB107)) <=> (~v1(constB107))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6563,axiom,(~v1(constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_107_1_1')).
% 134.92/85.62 tff(6564,plain,
% 134.92/85.62 (~v1(constB107)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6563, 6562])).
% 134.92/85.62 tff(6565,plain,
% 134.92/85.62 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6566,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_107_1')).
% 134.92/85.62 tff(6567,plain,
% 134.92/85.62 (nextState(constB107, constB108)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6566, 6565])).
% 134.92/85.62 tff(6568,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6569,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6570,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB107) | (~nextState(constB107, constB108)) | (~v98(constB108))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6569, 6568])).
% 134.92/85.62 tff(6571,plain,
% 134.92/85.62 (~v98(constB108)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6570, 541, 6567, 6564])).
% 134.92/85.62 tff(6572,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6573,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB107, constB108)) | v96(constB108) | v98(constB108))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6574,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB107, constB108)) | v96(constB108) | v98(constB108)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6573, 6572])).
% 134.92/85.62 tff(6575,plain,
% 134.92/85.62 (v96(constB108) | v98(constB108)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6574, 555, 6567])).
% 134.92/85.62 tff(6576,plain,
% 134.92/85.62 (v96(constB108)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6575, 6571])).
% 134.92/85.62 tff(6577,plain,
% 134.92/85.62 (v1(constB108) <=> v1(constB108)),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6578,axiom,(v1(constB108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_108_1')).
% 134.92/85.62 tff(6579,plain,
% 134.92/85.62 (v1(constB108)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 134.92/85.62 tff(6580,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6581,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6582,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB107, constB108)) | v95(constB108) | (~v96(constB108)) | (~v1(constB108))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6581, 6580])).
% 134.92/85.62 tff(6583,plain,
% 134.92/85.62 (v95(constB108) | (~v96(constB108))),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6582, 573, 6567, 6579])).
% 134.92/85.62 tff(6584,plain,
% 134.92/85.62 (v95(constB108)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6583, 6576])).
% 134.92/85.62 tff(6585,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6586,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6587,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB107, constB108)) | (~v95(constB108)) | (~v104(constB108)) | v94(constB108)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 134.92/85.62 tff(6588,plain,
% 134.92/85.62 ((~v95(constB108)) | (~v104(constB108)) | v94(constB108)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6587, 588, 6567])).
% 134.92/85.62 tff(6589,plain,
% 134.92/85.62 ((~v104(constB108)) | v94(constB108)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6588, 6584])).
% 134.92/85.62 tff(6590,plain,
% 134.92/85.62 (~v104(constB108)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6589, 6560])).
% 134.92/85.62 tff(6591,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6592,plain,
% 134.92/85.62 (((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108)) <=> ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6593,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))))),
% 134.92/85.62 inference(monotonicity,[status(thm)],[6592])).
% 134.92/85.62 tff(6594,plain,
% 134.92/85.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107)))),
% 134.92/85.62 inference(transitivity,[status(thm)],[6593, 6591])).
% 134.92/85.62 tff(6595,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB107, constB108)) | (~v102(constB107)) | v104(constB108))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6596,plain,
% 134.92/85.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v102(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 134.92/85.62 tff(6597,plain,
% 134.92/85.62 (v104(constB108) | (~v102(constB107))),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6596, 604, 6567])).
% 134.92/85.62 tff(6598,plain,
% 134.92/85.62 (~v102(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6597, 6590])).
% 134.92/85.62 tff(6599,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB107) | (~v106(constB107)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB107) | (~v106(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6600,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB107) | (~v106(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6601,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB107) | (~v106(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6600, 6599])).
% 134.92/85.62 tff(6602,plain,
% 134.92/85.62 (~v106(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6601, 619, 6598])).
% 134.92/85.62 tff(6603,assumption,(v26(constB107)), introduced(assumption)).
% 134.92/85.62 tff(6604,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6605,plain,
% 134.92/85.62 ($false),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6604, 1172, 6603])).
% 134.92/85.62 tff(6606,plain,(~v26(constB107)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.62 tff(6607,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | v106(constB107) | (~v107(constB107)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | v106(constB107) | (~v107(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6608,plain,
% 134.92/85.62 ((v26(constB107) | (~v107(constB107)) | v106(constB107)) <=> (v26(constB107) | v106(constB107) | (~v107(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6609,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | v106(constB107) | (~v107(constB107))))),
% 134.92/85.62 inference(monotonicity,[status(thm)],[6608])).
% 134.92/85.62 tff(6610,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | v106(constB107) | (~v107(constB107)))),
% 134.92/85.62 inference(transitivity,[status(thm)],[6609, 6607])).
% 134.92/85.62 tff(6611,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB107) | (~v107(constB107)) | v106(constB107))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6612,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB107) | v106(constB107) | (~v107(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 134.92/85.62 tff(6613,plain,
% 134.92/85.62 (v106(constB107) | (~v107(constB107))),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6612, 644, 6606])).
% 134.92/85.62 tff(6614,plain,
% 134.92/85.62 (~v107(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6613, 6602])).
% 134.92/85.62 tff(6615,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB107) | (~v108(constB107)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB107) | (~v108(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6616,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB107) | (~v108(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6617,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB107) | (~v108(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 134.92/85.62 tff(6618,plain,
% 134.92/85.62 (~v108(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6617, 658, 6614])).
% 134.92/85.62 tff(6619,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB107) | (~v109(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB107) | (~v109(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6620,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB107) | (~v109(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6621,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB107) | (~v109(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6620, 6619])).
% 134.92/85.62 tff(6622,plain,
% 134.92/85.62 (~v109(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6621, 669, 6618])).
% 134.92/85.62 tff(6623,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB107) | (~v110(constB107)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB107) | (~v110(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6624,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB107) | (~v110(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6625,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB107) | (~v110(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6624, 6623])).
% 134.92/85.62 tff(6626,plain,
% 134.92/85.62 (~v110(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6625, 680, 6622])).
% 134.92/85.62 tff(6627,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB107) | (~v111(constB107)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB107) | (~v111(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6628,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB107) | (~v111(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6629,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB107) | (~v111(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6628, 6627])).
% 134.92/85.62 tff(6630,plain,
% 134.92/85.62 (~v111(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6629, 691, 6626])).
% 134.92/85.62 tff(6631,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB107) | (~v112(constB107)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB107) | (~v112(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6632,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB107) | (~v112(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6633,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB107) | (~v112(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6632, 6631])).
% 134.92/85.62 tff(6634,plain,
% 134.92/85.62 (~v112(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6633, 702, 6630])).
% 134.92/85.62 tff(6635,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB107) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB107) | (~v145(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6636,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB107) | (~v145(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6637,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB107) | (~v145(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6636, 6635])).
% 134.92/85.62 tff(6638,plain,
% 134.92/85.62 (~v145(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6637, 713, 6634])).
% 134.92/85.62 tff(6639,assumption,(~v84(constB108, bitIndex2)), introduced(assumption)).
% 134.92/85.62 tff(6640,plain,
% 134.92/85.62 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB108, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB108, bitIndex2))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6641,plain,
% 134.92/85.62 (((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v84(constB107, bitIndex2))) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB108, bitIndex2))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6642,plain,
% 134.92/85.62 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v84(constB107, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB108, bitIndex2)))),
% 134.92/85.62 inference(monotonicity,[status(thm)],[6641])).
% 134.92/85.62 tff(6643,plain,
% 134.92/85.62 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v84(constB107, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB108, bitIndex2))),
% 134.92/85.62 inference(transitivity,[status(thm)],[6642, 6640])).
% 134.92/85.62 tff(6644,plain,
% 134.92/85.62 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v84(constB107, bitIndex2)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6645,plain,
% 134.92/85.62 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB108, bitIndex2)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6644, 6643])).
% 134.92/85.62 tff(6646,plain,
% 134.92/85.62 (~v84(constB107, bitIndex2)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6645, 777, 767, 6567, 6560, 6639])).
% 134.92/85.62 tff(6647,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB107) | (~v116(constB107)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB107) | (~v116(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6648,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB107) | (~v116(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6649,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB107) | (~v116(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6648, 6647])).
% 134.92/85.62 tff(6650,plain,
% 134.92/85.62 (~v116(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6649, 934, 6626])).
% 134.92/85.62 tff(6651,assumption,(~v107(constB107)), introduced(assumption)).
% 134.92/85.62 tff(6652,plain,
% 134.92/85.62 (~v108(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6617, 658, 6651])).
% 134.92/85.62 tff(6653,plain,
% 134.92/85.62 (~v109(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6621, 669, 6652])).
% 134.92/85.62 tff(6654,plain,
% 134.92/85.62 (~v110(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6625, 680, 6653])).
% 134.92/85.62 tff(6655,plain,
% 134.92/85.62 (~v111(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6629, 691, 6654])).
% 134.92/85.62 tff(6656,plain,
% 134.92/85.62 (~v112(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6633, 702, 6655])).
% 134.92/85.62 tff(6657,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB107) | (~v113(constB107)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB107) | (~v113(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6658,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB107) | (~v113(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6659,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB107) | (~v113(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 134.92/85.62 tff(6660,plain,
% 134.92/85.62 (~v113(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6659, 969, 6656])).
% 134.92/85.62 tff(6661,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB107) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB107) | (~v119(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6662,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB107) | (~v119(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6663,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB107) | (~v119(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 134.92/85.62 tff(6664,plain,
% 134.92/85.62 (~v119(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6663, 1927, 6651])).
% 134.92/85.62 tff(6665,assumption,(~v84(constB107, bitIndex0)), introduced(assumption)).
% 134.92/85.62 tff(6666,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB107) | (~v115(constB107)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB107) | (~v115(constB107)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6667,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB107) | (~v115(constB107)))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6668,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB107) | (~v115(constB107))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6667, 6666])).
% 134.92/85.62 tff(6669,plain,
% 134.92/85.62 (~v115(constB107)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6668, 945, 6655])).
% 134.92/85.62 tff(6670,assumption,(~v115(constB107)), introduced(assumption)).
% 134.92/85.62 tff(6671,assumption,(v84(constB107, bitIndex1)), introduced(assumption)).
% 134.92/85.62 tff(6672,assumption,(~v119(constB107)), introduced(assumption)).
% 134.92/85.62 tff(6673,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB107) | v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB107) | v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6674,plain,
% 134.92/85.62 ((v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2)) | v119(constB107)) <=> (v119(constB107) | v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2)))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6675,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2)) | v119(constB107))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB107) | v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2))))),
% 134.92/85.62 inference(monotonicity,[status(thm)],[6674])).
% 134.92/85.62 tff(6676,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2)) | v119(constB107))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB107) | v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2)))),
% 134.92/85.62 inference(transitivity,[status(thm)],[6675, 6673])).
% 134.92/85.62 tff(6677,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2)) | v119(constB107))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6678,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB107) | v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2))),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6677, 6676])).
% 134.92/85.62 tff(6679,plain,
% 134.92/85.62 ((~v84(constB107, bitIndex1)) | (~v84(constB107, bitIndex2))),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6678, 1910, 6665, 6672])).
% 134.92/85.62 tff(6680,plain,
% 134.92/85.62 (~v84(constB107, bitIndex2)),
% 134.92/85.62 inference(unit_resolution,[status(thm)],[6679, 6671])).
% 134.92/85.62 tff(6681,plain,
% 134.92/85.62 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v115(constB107))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v115(constB107))),
% 134.92/85.62 inference(rewrite,[status(thm)],[])).
% 134.92/85.62 tff(6682,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v115(constB107))),
% 134.92/85.62 inference(quant_inst,[status(thm)],[])).
% 134.92/85.62 tff(6683,plain,
% 134.92/85.62 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB107, bitIndex0) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v115(constB107)),
% 134.92/85.62 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 134.92/85.63 tff(6684,plain,
% 134.92/85.63 ((~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v115(constB107)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6683, 1095, 6665])).
% 134.92/85.63 tff(6685,plain,
% 134.92/85.63 ($false),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6684, 6680, 6671, 6670])).
% 134.92/85.63 tff(6686,plain,((~v84(constB107, bitIndex1)) | v115(constB107) | v84(constB107, bitIndex0) | v119(constB107)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.63 tff(6687,plain,
% 134.92/85.63 (~v84(constB107, bitIndex1)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6686, 6669, 6665, 6664])).
% 134.92/85.63 tff(6688,plain,
% 134.92/85.63 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB107) | (~v172(constB107)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB107) | (~v172(constB107)))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6689,plain,
% 134.92/85.63 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB107) | (~v172(constB107)))),
% 134.92/85.63 inference(quant_inst,[status(thm)],[])).
% 134.92/85.63 tff(6690,plain,
% 134.92/85.63 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB107) | (~v172(constB107))),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6689, 6688])).
% 134.92/85.63 tff(6691,plain,
% 134.92/85.63 (~v172(constB107)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6690, 1033, 6653])).
% 134.92/85.63 tff(6692,plain,
% 134.92/85.63 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v172(constB107))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v172(constB107))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6693,plain,
% 134.92/85.63 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v172(constB107))),
% 134.92/85.63 inference(quant_inst,[status(thm)],[])).
% 134.92/85.63 tff(6694,plain,
% 134.92/85.63 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v172(constB107)),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 134.92/85.63 tff(6695,plain,
% 134.92/85.63 (v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2))),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6694, 1047, 6665, 6691])).
% 134.92/85.63 tff(6696,plain,
% 134.92/85.63 (~v84(constB107, bitIndex2)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6695, 6687])).
% 134.92/85.63 tff(6697,plain,
% 134.92/85.63 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB107) | v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB107) | v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6698,plain,
% 134.92/85.63 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB107) | v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2))),
% 134.92/85.63 inference(quant_inst,[status(thm)],[])).
% 134.92/85.63 tff(6699,plain,
% 134.92/85.63 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB107) | v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2)),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6698, 6697])).
% 134.92/85.63 tff(6700,plain,
% 134.92/85.63 (v113(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6699, 983, 6665])).
% 134.92/85.63 tff(6701,plain,
% 134.92/85.63 ($false),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6700, 6696, 6687, 6660])).
% 134.92/85.63 tff(6702,plain,(v107(constB107) | v84(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.63 tff(6703,plain,
% 134.92/85.63 (v84(constB107, bitIndex0)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6702, 6614])).
% 134.92/85.63 tff(6704,plain,
% 134.92/85.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)) | v116(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)) | v116(constB107))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6705,plain,
% 134.92/85.63 (((~v84(constB107, bitIndex0)) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v116(constB107)) <=> ((~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)) | v116(constB107))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6706,plain,
% 134.92/85.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB107, bitIndex0)) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v116(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)) | v116(constB107)))),
% 134.92/85.63 inference(monotonicity,[status(thm)],[6705])).
% 134.92/85.63 tff(6707,plain,
% 134.92/85.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB107, bitIndex0)) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v116(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)) | v116(constB107))),
% 134.92/85.63 inference(transitivity,[status(thm)],[6706, 6704])).
% 134.92/85.63 tff(6708,plain,
% 134.92/85.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB107, bitIndex0)) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v116(constB107))),
% 134.92/85.63 inference(quant_inst,[status(thm)],[])).
% 134.92/85.63 tff(6709,plain,
% 134.92/85.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)) | v116(constB107)),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6708, 6707])).
% 134.92/85.63 tff(6710,plain,
% 134.92/85.63 ((~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v116(constB107)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6709, 1076, 6703])).
% 134.92/85.63 tff(6711,plain,
% 134.92/85.63 (~v84(constB107, bitIndex1)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6710, 6646, 6650])).
% 134.92/85.63 tff(6712,plain,
% 134.92/85.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6713,plain,
% 134.92/85.63 (((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107)) <=> (v145(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6714,plain,
% 134.92/85.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0))))),
% 134.92/85.63 inference(monotonicity,[status(thm)],[6713])).
% 134.92/85.63 tff(6715,plain,
% 134.92/85.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0)))),
% 134.92/85.63 inference(transitivity,[status(thm)],[6714, 6712])).
% 134.92/85.63 tff(6716,plain,
% 134.92/85.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | v145(constB107))),
% 134.92/85.63 inference(quant_inst,[status(thm)],[])).
% 134.92/85.63 tff(6717,plain,
% 134.92/85.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0))),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6716, 6715])).
% 134.92/85.63 tff(6718,plain,
% 134.92/85.63 (v145(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6717, 865, 6703])).
% 134.92/85.63 tff(6719,plain,
% 134.92/85.63 ($false),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6718, 6711, 6646, 6638])).
% 134.92/85.63 tff(6720,plain,(v94(constB108) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.92/85.63 tff(6721,plain,
% 134.92/85.63 (v84(constB108, bitIndex2)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6720, 6560])).
% 134.92/85.63 tff(6722,assumption,(v84(constB108, bitIndex2)), introduced(assumption)).
% 134.92/85.63 tff(6723,assumption,(~v84(constB109, bitIndex2)), introduced(assumption)).
% 134.92/85.63 tff(6724,plain,
% 134.92/85.63 ((~v1(constB109)) <=> (~v1(constB109))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6725,axiom,(~v1(constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_109_1_1')).
% 134.92/85.63 tff(6726,plain,
% 134.92/85.63 (~v1(constB109)),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6725, 6724])).
% 134.92/85.63 tff(6727,plain,
% 134.92/85.63 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6728,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_108_1')).
% 134.92/85.63 tff(6729,plain,
% 134.92/85.63 (nextState(constB108, constB109)),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6728, 6727])).
% 134.92/85.63 tff(6730,plain,
% 134.92/85.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6731,plain,
% 134.92/85.63 (((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109)) <=> (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6732,plain,
% 134.92/85.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))))),
% 134.92/85.63 inference(monotonicity,[status(thm)],[6731])).
% 134.92/85.63 tff(6733,plain,
% 134.92/85.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109)))),
% 134.92/85.63 inference(transitivity,[status(thm)],[6732, 6730])).
% 134.92/85.63 tff(6734,plain,
% 134.92/85.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB108, constB109)) | (~v95(constB109)) | v1(constB109))),
% 134.92/85.63 inference(quant_inst,[status(thm)],[])).
% 134.92/85.63 tff(6735,plain,
% 134.92/85.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB109) | (~nextState(constB108, constB109)) | (~v95(constB109))),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 134.92/85.63 tff(6736,plain,
% 134.92/85.63 (~v95(constB109)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6735, 742, 6729, 6726])).
% 134.92/85.63 tff(6737,plain,
% 134.92/85.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6738,plain,
% 134.92/85.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109)))),
% 134.92/85.63 inference(quant_inst,[status(thm)],[])).
% 134.92/85.63 tff(6739,plain,
% 134.92/85.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB108, constB109)) | v95(constB109) | (~v94(constB109))),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6738, 6737])).
% 134.92/85.63 tff(6740,plain,
% 134.92/85.63 (v95(constB109) | (~v94(constB109))),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6739, 759, 6729])).
% 134.92/85.63 tff(6741,plain,
% 134.92/85.63 (~v94(constB109)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6740, 6736])).
% 134.92/85.63 tff(6742,plain,
% 134.92/85.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB108, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB108, bitIndex2)))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6743,plain,
% 134.92/85.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB108, bitIndex2)))),
% 134.92/85.63 inference(quant_inst,[status(thm)],[])).
% 134.92/85.63 tff(6744,plain,
% 134.92/85.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB108, bitIndex2))),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 134.92/85.63 tff(6745,plain,
% 134.92/85.63 ($false),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6744, 777, 767, 6729, 6741, 6723, 6722])).
% 134.92/85.63 tff(6746,plain,(v84(constB109, bitIndex2) | (~v84(constB108, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.92/85.63 tff(6747,plain,
% 134.92/85.63 (v84(constB109, bitIndex2)),
% 134.92/85.63 inference(unit_resolution,[status(thm)],[6746, 6721])).
% 134.92/85.63 tff(6748,assumption,(v84(constB109, bitIndex2)), introduced(assumption)).
% 134.92/85.63 tff(6749,assumption,(~v94(constB110)), introduced(assumption)).
% 134.92/85.63 tff(6750,plain,
% 134.92/85.63 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6751,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_109_1')).
% 134.92/85.63 tff(6752,plain,
% 134.92/85.63 (nextState(constB109, constB110)),
% 134.92/85.63 inference(modus_ponens,[status(thm)],[6751, 6750])).
% 134.92/85.63 tff(6753,plain,
% 134.92/85.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB110, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB110, bitIndex2))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6754,plain,
% 134.92/85.63 (((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB110, bitIndex2) | (~v84(constB109, bitIndex2))) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB110, bitIndex2))),
% 134.92/85.63 inference(rewrite,[status(thm)],[])).
% 134.92/85.63 tff(6755,plain,
% 134.92/85.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB110, bitIndex2) | (~v84(constB109, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB110, bitIndex2)))),
% 134.99/85.63 inference(monotonicity,[status(thm)],[6754])).
% 134.99/85.63 tff(6756,plain,
% 134.99/85.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB110, bitIndex2) | (~v84(constB109, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB110, bitIndex2))),
% 134.99/85.63 inference(transitivity,[status(thm)],[6755, 6753])).
% 134.99/85.63 tff(6757,plain,
% 134.99/85.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB110, bitIndex2) | (~v84(constB109, bitIndex2)))),
% 134.99/85.63 inference(quant_inst,[status(thm)],[])).
% 134.99/85.63 tff(6758,plain,
% 134.99/85.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB110, bitIndex2)),
% 134.99/85.63 inference(modus_ponens,[status(thm)],[6757, 6756])).
% 134.99/85.63 tff(6759,plain,
% 134.99/85.63 ($false),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6758, 777, 767, 6752, 6749, 6748, 6561])).
% 134.99/85.63 tff(6760,plain,(v84(constB110, bitIndex2) | v94(constB110) | (~v84(constB109, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.63 tff(6761,plain,
% 134.99/85.63 (v94(constB110)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6760, 6747, 6561])).
% 134.99/85.63 tff(6762,plain,
% 134.99/85.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v94(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v94(constB110)))),
% 134.99/85.63 inference(rewrite,[status(thm)],[])).
% 134.99/85.63 tff(6763,plain,
% 134.99/85.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v94(constB110)))),
% 134.99/85.63 inference(quant_inst,[status(thm)],[])).
% 134.99/85.63 tff(6764,plain,
% 134.99/85.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v94(constB110))),
% 134.99/85.63 inference(modus_ponens,[status(thm)],[6763, 6762])).
% 134.99/85.63 tff(6765,plain,
% 134.99/85.63 (v104(constB110) | (~v94(constB110))),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6764, 3113, 6752])).
% 134.99/85.63 tff(6766,plain,
% 134.99/85.63 (v104(constB110)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6765, 6761])).
% 134.99/85.63 tff(6767,assumption,(~v84(constB108, bitIndex0)), introduced(assumption)).
% 134.99/85.63 tff(6768,plain,
% 134.99/85.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB108, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB108, bitIndex0))),
% 134.99/85.63 inference(rewrite,[status(thm)],[])).
% 134.99/85.63 tff(6769,plain,
% 134.99/85.63 (((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB108, bitIndex0) | (~v84(constB107, bitIndex0))) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB108, bitIndex0))),
% 134.99/85.63 inference(rewrite,[status(thm)],[])).
% 134.99/85.63 tff(6770,plain,
% 134.99/85.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB108, bitIndex0) | (~v84(constB107, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB108, bitIndex0)))),
% 134.99/85.63 inference(monotonicity,[status(thm)],[6769])).
% 134.99/85.63 tff(6771,plain,
% 134.99/85.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB108, bitIndex0) | (~v84(constB107, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB108, bitIndex0))),
% 134.99/85.63 inference(transitivity,[status(thm)],[6770, 6768])).
% 134.99/85.63 tff(6772,plain,
% 134.99/85.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB108, bitIndex0) | (~v84(constB107, bitIndex0)))),
% 134.99/85.63 inference(quant_inst,[status(thm)],[])).
% 134.99/85.63 tff(6773,plain,
% 134.99/85.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB108, bitIndex0)),
% 134.99/85.63 inference(modus_ponens,[status(thm)],[6772, 6771])).
% 134.99/85.63 tff(6774,plain,
% 134.99/85.63 ($false),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6773, 777, 795, 6567, 6560, 6703, 6767])).
% 134.99/85.63 tff(6775,plain,(v84(constB108, bitIndex0) | v94(constB108)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.63 tff(6776,plain,
% 134.99/85.63 (v84(constB108, bitIndex0)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6775, 6560])).
% 134.99/85.63 tff(6777,assumption,(v84(constB108, bitIndex0)), introduced(assumption)).
% 134.99/85.63 tff(6778,assumption,(~v84(constB109, bitIndex0)), introduced(assumption)).
% 134.99/85.63 tff(6779,plain,
% 134.99/85.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB108, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB108, bitIndex0)))),
% 134.99/85.63 inference(rewrite,[status(thm)],[])).
% 134.99/85.63 tff(6780,plain,
% 134.99/85.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB108, bitIndex0)))),
% 134.99/85.63 inference(quant_inst,[status(thm)],[])).
% 134.99/85.63 tff(6781,plain,
% 134.99/85.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB108, bitIndex0))),
% 134.99/85.63 inference(modus_ponens,[status(thm)],[6780, 6779])).
% 134.99/85.63 tff(6782,plain,
% 134.99/85.63 ($false),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6781, 777, 795, 6729, 6741, 6778, 6777])).
% 134.99/85.63 tff(6783,plain,(v84(constB109, bitIndex0) | (~v84(constB108, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.63 tff(6784,plain,
% 134.99/85.63 (v84(constB109, bitIndex0)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6783, 6776])).
% 134.99/85.63 tff(6785,assumption,(~v145(constB107)), introduced(assumption)).
% 134.99/85.63 tff(6786,assumption,(~v84(constB107, bitIndex2)), introduced(assumption)).
% 134.99/85.63 tff(6787,assumption,(~v116(constB107)), introduced(assumption)).
% 134.99/85.63 tff(6788,assumption,(v84(constB107, bitIndex0)), introduced(assumption)).
% 134.99/85.63 tff(6789,plain,
% 134.99/85.63 ((~v84(constB107, bitIndex1)) | v84(constB107, bitIndex2) | v116(constB107)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6709, 1076, 6788])).
% 134.99/85.63 tff(6790,plain,
% 134.99/85.63 (~v84(constB107, bitIndex1)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6789, 6786, 6787])).
% 134.99/85.63 tff(6791,plain,
% 134.99/85.63 (v145(constB107) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6717, 865, 6788])).
% 134.99/85.63 tff(6792,plain,
% 134.99/85.63 ($false),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6791, 6790, 6786, 6785])).
% 134.99/85.63 tff(6793,plain,(v84(constB107, bitIndex2) | v145(constB107) | (~v84(constB107, bitIndex0)) | v116(constB107)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.63 tff(6794,plain,
% 134.99/85.63 (v84(constB107, bitIndex2)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6793, 6638, 6703, 6650])).
% 134.99/85.63 tff(6795,plain,
% 134.99/85.63 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB107) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB107) | (~v118(constB107)))),
% 134.99/85.63 inference(rewrite,[status(thm)],[])).
% 134.99/85.63 tff(6796,plain,
% 134.99/85.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB107) | (~v118(constB107)))),
% 134.99/85.63 inference(quant_inst,[status(thm)],[])).
% 134.99/85.63 tff(6797,plain,
% 134.99/85.63 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB107) | (~v118(constB107))),
% 134.99/85.63 inference(modus_ponens,[status(thm)],[6796, 6795])).
% 134.99/85.63 tff(6798,plain,
% 134.99/85.63 (~v118(constB107)),
% 134.99/85.63 inference(unit_resolution,[status(thm)],[6797, 1004, 6618])).
% 134.99/85.63 tff(6799,plain,
% 134.99/85.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107) | (~v84(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107) | (~v84(constB107, bitIndex0)))),
% 134.99/85.63 inference(rewrite,[status(thm)],[])).
% 134.99/85.63 tff(6800,plain,
% 134.99/85.63 (((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107)) <=> (v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107) | (~v84(constB107, bitIndex0)))),
% 134.99/85.63 inference(rewrite,[status(thm)],[])).
% 134.99/85.63 tff(6801,plain,
% 134.99/85.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107) | (~v84(constB107, bitIndex0))))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6800])).
% 134.99/85.64 tff(6802,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107) | (~v84(constB107, bitIndex0)))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6801, 6799])).
% 134.99/85.64 tff(6803,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB107, bitIndex0)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6804,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2)) | v118(constB107) | (~v84(constB107, bitIndex0))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6803, 6802])).
% 134.99/85.64 tff(6805,plain,
% 134.99/85.64 (v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2))),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6804, 1018, 6703, 6798])).
% 134.99/85.64 tff(6806,plain,
% 134.99/85.64 (v84(constB107, bitIndex1)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6805, 6794])).
% 134.99/85.64 tff(6807,assumption,(~v84(constB108, bitIndex1)), introduced(assumption)).
% 134.99/85.64 tff(6808,plain,
% 134.99/85.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB108, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB108, bitIndex1))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6809,plain,
% 134.99/85.64 (((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB108, bitIndex1) | (~v84(constB107, bitIndex1))) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB108, bitIndex1))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6810,plain,
% 134.99/85.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB108, bitIndex1) | (~v84(constB107, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB108, bitIndex1)))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6809])).
% 134.99/85.64 tff(6811,plain,
% 134.99/85.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB108, bitIndex1) | (~v84(constB107, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB108, bitIndex1))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6810, 6808])).
% 134.99/85.64 tff(6812,plain,
% 134.99/85.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB108, bitIndex1) | (~v84(constB107, bitIndex1)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6813,plain,
% 134.99/85.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB108, bitIndex1)),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6812, 6811])).
% 134.99/85.64 tff(6814,plain,
% 134.99/85.64 ($false),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6813, 777, 823, 6567, 6560, 6807, 6806])).
% 134.99/85.64 tff(6815,plain,(v84(constB108, bitIndex1) | v94(constB108)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.64 tff(6816,plain,
% 134.99/85.64 (v84(constB108, bitIndex1)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6815, 6560])).
% 134.99/85.64 tff(6817,assumption,(v84(constB108, bitIndex1)), introduced(assumption)).
% 134.99/85.64 tff(6818,assumption,(~v84(constB109, bitIndex1)), introduced(assumption)).
% 134.99/85.64 tff(6819,plain,
% 134.99/85.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB108, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB108, bitIndex1)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6820,plain,
% 134.99/85.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB108, bitIndex1)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6821,plain,
% 134.99/85.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB108, bitIndex1))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6820, 6819])).
% 134.99/85.64 tff(6822,plain,
% 134.99/85.64 ($false),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6821, 777, 823, 6729, 6741, 6818, 6817])).
% 134.99/85.64 tff(6823,plain,(v84(constB109, bitIndex1) | (~v84(constB108, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.64 tff(6824,plain,
% 134.99/85.64 (v84(constB109, bitIndex1)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6823, 6816])).
% 134.99/85.64 tff(6825,assumption,(v84(constB109, bitIndex1)), introduced(assumption)).
% 134.99/85.64 tff(6826,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB109)) | (~v84(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB109)) | (~v84(constB109, bitIndex1)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6827,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB109)) | (~v84(constB109, bitIndex1)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6828,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB109)) | (~v84(constB109, bitIndex1))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6827, 6826])).
% 134.99/85.64 tff(6829,plain,
% 134.99/85.64 (~v113(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6828, 1465, 6825])).
% 134.99/85.64 tff(6830,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB109)) | (~v84(constB109, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB109)) | (~v84(constB109, bitIndex1)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6831,plain,
% 134.99/85.64 (((~v84(constB109, bitIndex1)) | (~v145(constB109))) <=> ((~v145(constB109)) | (~v84(constB109, bitIndex1)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6832,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB109)) | (~v84(constB109, bitIndex1))))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6831])).
% 134.99/85.64 tff(6833,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB109)) | (~v84(constB109, bitIndex1)))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6832, 6830])).
% 134.99/85.64 tff(6834,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v145(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6835,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB109)) | (~v84(constB109, bitIndex1))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 134.99/85.64 tff(6836,plain,
% 134.99/85.64 (~v145(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6835, 816, 6825])).
% 134.99/85.64 tff(6837,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB109) | (~v112(constB109)) | v113(constB109))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB109) | (~v112(constB109)) | v113(constB109))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6838,plain,
% 134.99/85.64 ((v113(constB109) | (~v112(constB109)) | v145(constB109)) <=> (v145(constB109) | (~v112(constB109)) | v113(constB109))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6839,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB109) | (~v112(constB109)) | v145(constB109))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB109) | (~v112(constB109)) | v113(constB109)))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6838])).
% 134.99/85.64 tff(6840,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB109) | (~v112(constB109)) | v145(constB109))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB109) | (~v112(constB109)) | v113(constB109))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6839, 6837])).
% 134.99/85.64 tff(6841,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB109) | (~v112(constB109)) | v145(constB109))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6842,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB109) | (~v112(constB109)) | v113(constB109)),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6841, 6840])).
% 134.99/85.64 tff(6843,plain,
% 134.99/85.64 (~v112(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6842, 2894, 6836, 6829])).
% 134.99/85.64 tff(6844,assumption,(v84(constB109, bitIndex0)), introduced(assumption)).
% 134.99/85.64 tff(6845,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB109, bitIndex0)) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB109, bitIndex0)) | (~v115(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6846,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB109, bitIndex0)) | (~v115(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6847,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB109, bitIndex0)) | (~v115(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 134.99/85.64 tff(6848,plain,
% 134.99/85.64 (~v115(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6847, 3011, 6844])).
% 134.99/85.64 tff(6849,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB109) | v115(constB109) | (~v111(constB109)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB109) | v115(constB109) | (~v111(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6850,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB109) | v115(constB109) | (~v111(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6851,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB109) | v115(constB109) | (~v111(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 134.99/85.64 tff(6852,plain,
% 134.99/85.64 (~v111(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6851, 2911, 6848, 6843])).
% 134.99/85.64 tff(6853,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB109)) | (~v84(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB109)) | (~v84(constB109, bitIndex0)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6854,plain,
% 134.99/85.64 (((~v84(constB109, bitIndex0)) | (~v119(constB109))) <=> ((~v119(constB109)) | (~v84(constB109, bitIndex0)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6855,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB109, bitIndex0)) | (~v119(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB109)) | (~v84(constB109, bitIndex0))))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6854])).
% 134.99/85.64 tff(6856,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB109, bitIndex0)) | (~v119(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB109)) | (~v84(constB109, bitIndex0)))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6855, 6853])).
% 134.99/85.64 tff(6857,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB109, bitIndex0)) | (~v119(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6858,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB109)) | (~v84(constB109, bitIndex0))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 134.99/85.64 tff(6859,plain,
% 134.99/85.64 (~v119(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6858, 3173, 6844])).
% 134.99/85.64 tff(6860,assumption,(v106(constB109)), introduced(assumption)).
% 134.99/85.64 tff(6861,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB109) | (~v106(constB109)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB109) | (~v106(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6862,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB109) | (~v106(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6863,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB109) | (~v106(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6862, 6861])).
% 134.99/85.64 tff(6864,plain,
% 134.99/85.64 (v107(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6863, 3161, 6860])).
% 134.99/85.64 tff(6865,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB109) | v119(constB109) | (~v107(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB109) | v119(constB109) | (~v107(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6866,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB109) | v119(constB109) | (~v107(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6867,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB109) | v119(constB109) | (~v107(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6866, 6865])).
% 134.99/85.64 tff(6868,plain,
% 134.99/85.64 (v108(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6867, 3195, 6864, 6859])).
% 134.99/85.64 tff(6869,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v118(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v118(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6870,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v118(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6871,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v118(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6870, 6869])).
% 134.99/85.64 tff(6872,plain,
% 134.99/85.64 (~v118(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6871, 2842, 6825])).
% 134.99/85.64 tff(6873,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB109) | v118(constB109) | (~v108(constB109)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB109) | v118(constB109) | (~v108(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6874,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB109) | v118(constB109) | (~v108(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6875,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB109) | v118(constB109) | (~v108(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6874, 6873])).
% 134.99/85.64 tff(6876,plain,
% 134.99/85.64 (v109(constB109) | (~v108(constB109))),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6875, 2856, 6872])).
% 134.99/85.64 tff(6877,plain,
% 134.99/85.64 (v109(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6876, 6868])).
% 134.99/85.64 tff(6878,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v172(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v172(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6879,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB109, bitIndex1)) | (~v172(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6880,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB109, bitIndex1)) | (~v172(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6879, 6878])).
% 134.99/85.64 tff(6881,plain,
% 134.99/85.64 (~v172(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6880, 2289, 6825])).
% 134.99/85.64 tff(6882,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB109)) | v172(constB109) | v110(constB109))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB109)) | v172(constB109) | v110(constB109))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6883,plain,
% 134.99/85.64 ((v110(constB109) | (~v109(constB109)) | v172(constB109)) <=> ((~v109(constB109)) | v172(constB109) | v110(constB109))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6884,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB109) | (~v109(constB109)) | v172(constB109))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB109)) | v172(constB109) | v110(constB109)))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6883])).
% 134.99/85.64 tff(6885,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB109) | (~v109(constB109)) | v172(constB109))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB109)) | v172(constB109) | v110(constB109))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6884, 6882])).
% 134.99/85.64 tff(6886,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB109) | (~v109(constB109)) | v172(constB109))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6887,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB109)) | v172(constB109) | v110(constB109)),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 134.99/85.64 tff(6888,plain,
% 134.99/85.64 ((~v109(constB109)) | v110(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6887, 2871, 6881])).
% 134.99/85.64 tff(6889,plain,
% 134.99/85.64 (v110(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6888, 6877])).
% 134.99/85.64 tff(6890,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v116(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB109, bitIndex2)) | (~v116(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6891,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v116(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6892,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB109, bitIndex2)) | (~v116(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6891, 6890])).
% 134.99/85.64 tff(6893,plain,
% 134.99/85.64 (~v116(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6892, 1130, 6748])).
% 134.99/85.64 tff(6894,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB109) | v116(constB109) | (~v110(constB109)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB109) | v116(constB109) | (~v110(constB109)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6895,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB109) | v116(constB109) | (~v110(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6896,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB109) | v116(constB109) | (~v110(constB109))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6895, 6894])).
% 134.99/85.64 tff(6897,plain,
% 134.99/85.64 ($false),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6896, 2932, 6893, 6889, 6852])).
% 134.99/85.64 tff(6898,plain,((~v106(constB109)) | (~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.64 tff(6899,plain,
% 134.99/85.64 (~v106(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6898, 6824, 6747, 6784])).
% 134.99/85.64 tff(6900,assumption,(v26(constB109)), introduced(assumption)).
% 134.99/85.64 tff(6901,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6902,plain,
% 134.99/85.64 ($false),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6901, 1172, 6900])).
% 134.99/85.64 tff(6903,plain,(~v26(constB109)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.64 tff(6904,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB109)) | v26(constB109) | v106(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB109)) | v26(constB109) | v106(constB109))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6905,plain,
% 134.99/85.64 ((v26(constB109) | v106(constB109) | (~v102(constB109))) <=> ((~v102(constB109)) | v26(constB109) | v106(constB109))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6906,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB109) | v106(constB109) | (~v102(constB109)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB109)) | v26(constB109) | v106(constB109)))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6905])).
% 134.99/85.64 tff(6907,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB109) | v106(constB109) | (~v102(constB109)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB109)) | v26(constB109) | v106(constB109))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6906, 6904])).
% 134.99/85.64 tff(6908,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB109) | v106(constB109) | (~v102(constB109)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6909,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB109)) | v26(constB109) | v106(constB109)),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6908, 6907])).
% 134.99/85.64 tff(6910,plain,
% 134.99/85.64 ((~v102(constB109)) | v106(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6909, 3146, 6903])).
% 134.99/85.64 tff(6911,plain,
% 134.99/85.64 (~v102(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6910, 6899])).
% 134.99/85.64 tff(6912,plain,
% 134.99/85.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB109, constB110)) | (~v104(constB110)) | v102(constB109))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB109, constB110)) | (~v104(constB110)) | v102(constB109))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6913,plain,
% 134.99/85.64 (((~nextState(constB109, constB110)) | v102(constB109) | (~v104(constB110))) <=> ((~nextState(constB109, constB110)) | (~v104(constB110)) | v102(constB109))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6914,plain,
% 134.99/85.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB109, constB110)) | v102(constB109) | (~v104(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB109, constB110)) | (~v104(constB110)) | v102(constB109)))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6913])).
% 134.99/85.64 tff(6915,plain,
% 134.99/85.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB109, constB110)) | v102(constB109) | (~v104(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB109, constB110)) | (~v104(constB110)) | v102(constB109))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6914, 6912])).
% 134.99/85.64 tff(6916,plain,
% 134.99/85.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB109, constB110)) | v102(constB109) | (~v104(constB110)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6917,plain,
% 134.99/85.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB109, constB110)) | (~v104(constB110)) | v102(constB109)),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6916, 6915])).
% 134.99/85.64 tff(6918,plain,
% 134.99/85.64 ((~v104(constB110)) | v102(constB109)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6917, 3128, 6752])).
% 134.99/85.64 tff(6919,plain,
% 134.99/85.64 ($false),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6918, 6911, 6766])).
% 134.99/85.64 tff(6920,plain,(v94(constB108) | v84(constB110, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.64 tff(6921,plain,
% 134.99/85.64 (v84(constB110, bitIndex2)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6920, 6560])).
% 134.99/85.64 tff(6922,assumption,(v84(constB110, bitIndex2)), introduced(assumption)).
% 134.99/85.64 tff(6923,assumption,(~v84(constB111, bitIndex2)), introduced(assumption)).
% 134.99/85.64 tff(6924,plain,
% 134.99/85.64 ((~v1(constB111)) <=> (~v1(constB111))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6925,axiom,(~v1(constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_111_1_1')).
% 134.99/85.64 tff(6926,plain,
% 134.99/85.64 (~v1(constB111)),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 134.99/85.64 tff(6927,plain,
% 134.99/85.64 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6928,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_110_1')).
% 134.99/85.64 tff(6929,plain,
% 134.99/85.64 (nextState(constB110, constB111)),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6928, 6927])).
% 134.99/85.64 tff(6930,plain,
% 134.99/85.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6931,plain,
% 134.99/85.64 (((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111)) <=> (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6932,plain,
% 134.99/85.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6931])).
% 134.99/85.64 tff(6933,plain,
% 134.99/85.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111)))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6932, 6930])).
% 134.99/85.64 tff(6934,plain,
% 134.99/85.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB110, constB111)) | (~v95(constB111)) | v1(constB111))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6935,plain,
% 134.99/85.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB111) | (~nextState(constB110, constB111)) | (~v95(constB111))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 134.99/85.64 tff(6936,plain,
% 134.99/85.64 (~v95(constB111)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6935, 742, 6929, 6926])).
% 134.99/85.64 tff(6937,plain,
% 134.99/85.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6938,plain,
% 134.99/85.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6939,plain,
% 134.99/85.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB110, constB111)) | v95(constB111) | (~v94(constB111))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6938, 6937])).
% 134.99/85.64 tff(6940,plain,
% 134.99/85.64 (v95(constB111) | (~v94(constB111))),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6939, 759, 6929])).
% 134.99/85.64 tff(6941,plain,
% 134.99/85.64 (~v94(constB111)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6940, 6936])).
% 134.99/85.64 tff(6942,plain,
% 134.99/85.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex2)) | v84(constB111, bitIndex2) | (~v84(constB110, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex2)) | v84(constB111, bitIndex2) | (~v84(constB110, bitIndex2)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6943,plain,
% 134.99/85.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex2)) | v84(constB111, bitIndex2) | (~v84(constB110, bitIndex2)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6944,plain,
% 134.99/85.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex2)) | v84(constB111, bitIndex2) | (~v84(constB110, bitIndex2))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6943, 6942])).
% 134.99/85.64 tff(6945,plain,
% 134.99/85.64 ($false),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6944, 777, 767, 6929, 6941, 6923, 6922])).
% 134.99/85.64 tff(6946,plain,(v84(constB111, bitIndex2) | (~v84(constB110, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.64 tff(6947,plain,
% 134.99/85.64 (v84(constB111, bitIndex2)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6946, 6921])).
% 134.99/85.64 tff(6948,assumption,(v84(constB111, bitIndex2)), introduced(assumption)).
% 134.99/85.64 tff(6949,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB111)) | (~v84(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB111)) | (~v84(constB111, bitIndex2)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6950,plain,
% 134.99/85.64 (((~v84(constB111, bitIndex2)) | (~v145(constB111))) <=> ((~v145(constB111)) | (~v84(constB111, bitIndex2)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6951,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB111, bitIndex2)) | (~v145(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB111)) | (~v84(constB111, bitIndex2))))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6950])).
% 134.99/85.64 tff(6952,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB111, bitIndex2)) | (~v145(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB111)) | (~v84(constB111, bitIndex2)))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6951, 6949])).
% 134.99/85.64 tff(6953,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB111, bitIndex2)) | (~v145(constB111)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6954,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB111)) | (~v84(constB111, bitIndex2))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6953, 6952])).
% 134.99/85.64 tff(6955,plain,
% 134.99/85.64 (~v145(constB111)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6954, 725, 6948])).
% 134.99/85.64 tff(6956,plain,
% 134.99/85.64 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB111)) | (~v84(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB111)) | (~v84(constB111, bitIndex2)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6957,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB111)) | (~v84(constB111, bitIndex2)))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.64 tff(6958,plain,
% 134.99/85.64 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB111)) | (~v84(constB111, bitIndex2))),
% 134.99/85.64 inference(modus_ponens,[status(thm)],[6957, 6956])).
% 134.99/85.64 tff(6959,plain,
% 134.99/85.64 (~v113(constB111)),
% 134.99/85.64 inference(unit_resolution,[status(thm)],[6958, 1119, 6948])).
% 134.99/85.64 tff(6960,assumption,(v112(constB111)), introduced(assumption)).
% 134.99/85.64 tff(6961,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB111) | v113(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB111) | v113(constB111) | (~v112(constB111)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6962,plain,
% 134.99/85.64 ((v113(constB111) | (~v112(constB111)) | v145(constB111)) <=> (v145(constB111) | v113(constB111) | (~v112(constB111)))),
% 134.99/85.64 inference(rewrite,[status(thm)],[])).
% 134.99/85.64 tff(6963,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB111) | (~v112(constB111)) | v145(constB111))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB111) | v113(constB111) | (~v112(constB111))))),
% 134.99/85.64 inference(monotonicity,[status(thm)],[6962])).
% 134.99/85.64 tff(6964,plain,
% 134.99/85.64 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB111) | (~v112(constB111)) | v145(constB111))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB111) | v113(constB111) | (~v112(constB111)))),
% 134.99/85.64 inference(transitivity,[status(thm)],[6963, 6961])).
% 134.99/85.64 tff(6965,plain,
% 134.99/85.64 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB111) | (~v112(constB111)) | v145(constB111))),
% 134.99/85.64 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(6966,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB111) | v113(constB111) | (~v112(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[6965, 6964])).
% 134.99/85.65 tff(6967,plain,
% 134.99/85.65 (v145(constB111) | v113(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6966, 2894, 6960])).
% 134.99/85.65 tff(6968,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6967, 6959, 6955])).
% 134.99/85.65 tff(6969,plain,((~v112(constB111)) | (~v84(constB111, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(6970,plain,
% 134.99/85.65 (~v112(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6969, 6947])).
% 134.99/85.65 tff(6971,plain,
% 134.99/85.65 (~v106(constB109)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6898, 6824, 6784, 6747])).
% 134.99/85.65 tff(6972,plain,
% 134.99/85.65 (~v102(constB109)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6910, 6971])).
% 134.99/85.65 tff(6973,assumption,(~v84(constB110, bitIndex1)), introduced(assumption)).
% 134.99/85.65 tff(6974,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB110, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB110, bitIndex1))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(6975,plain,
% 134.99/85.65 (((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB110, bitIndex1) | (~v84(constB109, bitIndex1))) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB110, bitIndex1))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(6976,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB110, bitIndex1) | (~v84(constB109, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB110, bitIndex1)))),
% 134.99/85.65 inference(monotonicity,[status(thm)],[6975])).
% 134.99/85.65 tff(6977,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB110, bitIndex1) | (~v84(constB109, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB110, bitIndex1))),
% 134.99/85.65 inference(transitivity,[status(thm)],[6976, 6974])).
% 134.99/85.65 tff(6978,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB110, bitIndex1) | (~v84(constB109, bitIndex1)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(6979,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB110, bitIndex1)),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[6978, 6977])).
% 134.99/85.65 tff(6980,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6979, 777, 823, 6752, 6749, 6825, 6973])).
% 134.99/85.65 tff(6981,plain,(v94(constB110) | (~v84(constB109, bitIndex1)) | v84(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(6982,plain,
% 134.99/85.65 (v94(constB110)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6981, 6824, 6973])).
% 134.99/85.65 tff(6983,plain,
% 134.99/85.65 (v104(constB110)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6765, 6982])).
% 134.99/85.65 tff(6984,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6918, 6983, 6972])).
% 134.99/85.65 tff(6985,plain,(v94(constB108) | v84(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(6986,plain,
% 134.99/85.65 (v84(constB110, bitIndex1)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6985, 6560])).
% 134.99/85.65 tff(6987,assumption,(v84(constB110, bitIndex1)), introduced(assumption)).
% 134.99/85.65 tff(6988,assumption,(~v84(constB111, bitIndex1)), introduced(assumption)).
% 134.99/85.65 tff(6989,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex1)) | v84(constB111, bitIndex1) | (~v84(constB110, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex1)) | v84(constB111, bitIndex1) | (~v84(constB110, bitIndex1)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(6990,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex1)) | v84(constB111, bitIndex1) | (~v84(constB110, bitIndex1)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(6991,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex1)) | v84(constB111, bitIndex1) | (~v84(constB110, bitIndex1))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[6990, 6989])).
% 134.99/85.65 tff(6992,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6991, 777, 823, 6929, 6941, 6988, 6987])).
% 134.99/85.65 tff(6993,plain,(v84(constB111, bitIndex1) | (~v84(constB110, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(6994,plain,
% 134.99/85.65 (v84(constB111, bitIndex1)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6993, 6986])).
% 134.99/85.65 tff(6995,assumption,(v172(constB111)), introduced(assumption)).
% 134.99/85.65 tff(6996,assumption,(v84(constB111, bitIndex1)), introduced(assumption)).
% 134.99/85.65 tff(6997,plain,
% 134.99/85.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v172(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB111, bitIndex1)) | (~v172(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(6998,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v172(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(6999,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB111, bitIndex1)) | (~v172(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[6998, 6997])).
% 134.99/85.65 tff(7000,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6999, 2289, 6996, 6995])).
% 134.99/85.65 tff(7001,plain,((~v172(constB111)) | (~v84(constB111, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(7002,plain,
% 134.99/85.65 (~v172(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7001, 6994])).
% 134.99/85.65 tff(7003,assumption,(~v84(constB110, bitIndex0)), introduced(assumption)).
% 134.99/85.65 tff(7004,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB110, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB110, bitIndex0))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7005,plain,
% 134.99/85.65 (((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v84(constB109, bitIndex0))) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB110, bitIndex0))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7006,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v84(constB109, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB110, bitIndex0)))),
% 134.99/85.65 inference(monotonicity,[status(thm)],[7005])).
% 134.99/85.65 tff(7007,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v84(constB109, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB110, bitIndex0))),
% 134.99/85.65 inference(transitivity,[status(thm)],[7006, 7004])).
% 134.99/85.65 tff(7008,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v84(constB109, bitIndex0)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7009,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB110, bitIndex0)),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7008, 7007])).
% 134.99/85.65 tff(7010,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7009, 777, 795, 6752, 6749, 7003, 6844])).
% 134.99/85.65 tff(7011,plain,(v84(constB110, bitIndex0) | v94(constB110) | (~v84(constB109, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(7012,plain,
% 134.99/85.65 (v94(constB110)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7011, 6784, 7003])).
% 134.99/85.65 tff(7013,plain,
% 134.99/85.65 (v104(constB110)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6765, 7012])).
% 134.99/85.65 tff(7014,plain,
% 134.99/85.65 (~v106(constB109)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6898, 6784, 6748, 6824])).
% 134.99/85.65 tff(7015,plain,
% 134.99/85.65 (~v102(constB109)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6910, 7014])).
% 134.99/85.65 tff(7016,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[6918, 7015, 7013])).
% 134.99/85.65 tff(7017,plain,(v94(constB108) | (~v84(constB109, bitIndex2)) | v84(constB110, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(7018,plain,
% 134.99/85.65 (v84(constB110, bitIndex0)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7017, 6747, 6560])).
% 134.99/85.65 tff(7019,assumption,(v84(constB110, bitIndex0)), introduced(assumption)).
% 134.99/85.65 tff(7020,assumption,(~v84(constB111, bitIndex0)), introduced(assumption)).
% 134.99/85.65 tff(7021,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex0)) | v84(constB111, bitIndex0) | (~v84(constB110, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex0)) | v84(constB111, bitIndex0) | (~v84(constB110, bitIndex0)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7022,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex0)) | v84(constB111, bitIndex0) | (~v84(constB110, bitIndex0)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7023,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex0)) | v84(constB111, bitIndex0) | (~v84(constB110, bitIndex0))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 134.99/85.65 tff(7024,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7023, 777, 795, 6929, 6941, 7020, 7019])).
% 134.99/85.65 tff(7025,plain,(v84(constB111, bitIndex0) | (~v84(constB110, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(7026,plain,
% 134.99/85.65 (v84(constB111, bitIndex0)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7025, 7018])).
% 134.99/85.65 tff(7027,assumption,(v84(constB111, bitIndex0)), introduced(assumption)).
% 134.99/85.65 tff(7028,plain,
% 134.99/85.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB111, bitIndex0)) | (~v119(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB111, bitIndex0)) | (~v119(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7029,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB111, bitIndex0)) | (~v119(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7030,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB111, bitIndex0)) | (~v119(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7029, 7028])).
% 134.99/85.65 tff(7031,plain,
% 134.99/85.65 (~v119(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7030, 3173, 7027])).
% 134.99/85.65 tff(7032,assumption,(v107(constB111)), introduced(assumption)).
% 134.99/85.65 tff(7033,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB111) | v119(constB111) | (~v107(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB111) | v119(constB111) | (~v107(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7034,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB111) | v119(constB111) | (~v107(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7035,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB111) | v119(constB111) | (~v107(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 134.99/85.65 tff(7036,plain,
% 134.99/85.65 (v108(constB111) | v119(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7035, 3195, 7032])).
% 134.99/85.65 tff(7037,plain,
% 134.99/85.65 (v108(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7036, 7031])).
% 134.99/85.65 tff(7038,plain,
% 134.99/85.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v118(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB111, bitIndex1)) | (~v118(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7039,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v118(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7040,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB111, bitIndex1)) | (~v118(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7039, 7038])).
% 134.99/85.65 tff(7041,plain,
% 134.99/85.65 (~v118(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7040, 2842, 6996])).
% 134.99/85.65 tff(7042,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB111) | v118(constB111) | (~v108(constB111)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB111) | v118(constB111) | (~v108(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7043,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB111) | v118(constB111) | (~v108(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7044,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB111) | v118(constB111) | (~v108(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 134.99/85.65 tff(7045,plain,
% 134.99/85.65 (v109(constB111) | (~v108(constB111))),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7044, 2856, 7041])).
% 134.99/85.65 tff(7046,plain,
% 134.99/85.65 (v109(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7045, 7037])).
% 134.99/85.65 tff(7047,assumption,(~v172(constB111)), introduced(assumption)).
% 134.99/85.65 tff(7048,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB111)) | v172(constB111) | v110(constB111))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB111)) | v172(constB111) | v110(constB111))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7049,plain,
% 134.99/85.65 ((v110(constB111) | (~v109(constB111)) | v172(constB111)) <=> ((~v109(constB111)) | v172(constB111) | v110(constB111))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7050,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB111) | (~v109(constB111)) | v172(constB111))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB111)) | v172(constB111) | v110(constB111)))),
% 134.99/85.65 inference(monotonicity,[status(thm)],[7049])).
% 134.99/85.65 tff(7051,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB111) | (~v109(constB111)) | v172(constB111))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB111)) | v172(constB111) | v110(constB111))),
% 134.99/85.65 inference(transitivity,[status(thm)],[7050, 7048])).
% 134.99/85.65 tff(7052,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB111) | (~v109(constB111)) | v172(constB111))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7053,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB111)) | v172(constB111) | v110(constB111)),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 134.99/85.65 tff(7054,plain,
% 134.99/85.65 ((~v109(constB111)) | v110(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7053, 2871, 7047])).
% 134.99/85.65 tff(7055,plain,
% 134.99/85.65 (v110(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7054, 7046])).
% 134.99/85.65 tff(7056,plain,
% 134.99/85.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB111, bitIndex0)) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB111, bitIndex0)) | (~v115(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7057,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB111, bitIndex0)) | (~v115(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7058,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB111, bitIndex0)) | (~v115(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7057, 7056])).
% 134.99/85.65 tff(7059,plain,
% 134.99/85.65 (~v115(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7058, 3011, 7027])).
% 134.99/85.65 tff(7060,assumption,(~v112(constB111)), introduced(assumption)).
% 134.99/85.65 tff(7061,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB111) | v115(constB111) | (~v111(constB111)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB111) | v115(constB111) | (~v111(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7062,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB111) | v115(constB111) | (~v111(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7063,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB111) | v115(constB111) | (~v111(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7062, 7061])).
% 134.99/85.65 tff(7064,plain,
% 134.99/85.65 (v115(constB111) | (~v111(constB111))),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7063, 2911, 7060])).
% 134.99/85.65 tff(7065,plain,
% 134.99/85.65 (~v111(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7064, 7059])).
% 134.99/85.65 tff(7066,plain,
% 134.99/85.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB111, bitIndex2)) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB111, bitIndex2)) | (~v116(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7067,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB111, bitIndex2)) | (~v116(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7068,plain,
% 134.99/85.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB111, bitIndex2)) | (~v116(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7067, 7066])).
% 134.99/85.65 tff(7069,plain,
% 134.99/85.65 (~v116(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7068, 1130, 6948])).
% 134.99/85.65 tff(7070,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB111) | v116(constB111) | (~v110(constB111)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB111) | v116(constB111) | (~v110(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7071,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB111) | v116(constB111) | (~v110(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7072,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB111) | v116(constB111) | (~v110(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7071, 7070])).
% 134.99/85.65 tff(7073,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7072, 2932, 7069, 7065, 7055])).
% 134.99/85.65 tff(7074,plain,(v112(constB111) | v172(constB111) | (~v107(constB111)) | (~v84(constB111, bitIndex2)) | (~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(7075,plain,
% 134.99/85.65 (~v107(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7074, 7026, 6947, 7002, 6994, 6970])).
% 134.99/85.65 tff(7076,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB111) | (~v106(constB111)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB111) | (~v106(constB111)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7077,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB111) | (~v106(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7078,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB111) | (~v106(constB111))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7077, 7076])).
% 134.99/85.65 tff(7079,plain,
% 134.99/85.65 (~v106(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7078, 3161, 7075])).
% 134.99/85.65 tff(7080,assumption,(v26(constB111)), introduced(assumption)).
% 134.99/85.65 tff(7081,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7082,plain,
% 134.99/85.65 ($false),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7081, 1172, 7080])).
% 134.99/85.65 tff(7083,plain,(~v26(constB111)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.65 tff(7084,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB111)) | v26(constB111) | v106(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB111)) | v26(constB111) | v106(constB111))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7085,plain,
% 134.99/85.65 ((v26(constB111) | v106(constB111) | (~v102(constB111))) <=> ((~v102(constB111)) | v26(constB111) | v106(constB111))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7086,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB111) | v106(constB111) | (~v102(constB111)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB111)) | v26(constB111) | v106(constB111)))),
% 134.99/85.65 inference(monotonicity,[status(thm)],[7085])).
% 134.99/85.65 tff(7087,plain,
% 134.99/85.65 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB111) | v106(constB111) | (~v102(constB111)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB111)) | v26(constB111) | v106(constB111))),
% 134.99/85.65 inference(transitivity,[status(thm)],[7086, 7084])).
% 134.99/85.65 tff(7088,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB111) | v106(constB111) | (~v102(constB111)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7089,plain,
% 134.99/85.65 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB111)) | v26(constB111) | v106(constB111)),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7088, 7087])).
% 134.99/85.65 tff(7090,plain,
% 134.99/85.65 ((~v102(constB111)) | v106(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7089, 3146, 7083])).
% 134.99/85.65 tff(7091,plain,
% 134.99/85.65 (~v102(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7090, 7079])).
% 134.99/85.65 tff(7092,plain,
% 134.99/85.65 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7093,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_111_1')).
% 134.99/85.65 tff(7094,plain,
% 134.99/85.65 (nextState(constB111, constB112)),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7093, 7092])).
% 134.99/85.65 tff(7095,plain,
% 134.99/85.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB111, constB112)) | (~v104(constB112)) | v102(constB111))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB111, constB112)) | (~v104(constB112)) | v102(constB111))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7096,plain,
% 134.99/85.65 (((~nextState(constB111, constB112)) | v102(constB111) | (~v104(constB112))) <=> ((~nextState(constB111, constB112)) | (~v104(constB112)) | v102(constB111))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7097,plain,
% 134.99/85.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB111, constB112)) | v102(constB111) | (~v104(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB111, constB112)) | (~v104(constB112)) | v102(constB111)))),
% 134.99/85.65 inference(monotonicity,[status(thm)],[7096])).
% 134.99/85.65 tff(7098,plain,
% 134.99/85.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB111, constB112)) | v102(constB111) | (~v104(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB111, constB112)) | (~v104(constB112)) | v102(constB111))),
% 134.99/85.65 inference(transitivity,[status(thm)],[7097, 7095])).
% 134.99/85.65 tff(7099,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB111, constB112)) | v102(constB111) | (~v104(constB112)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7100,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB111, constB112)) | (~v104(constB112)) | v102(constB111)),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 134.99/85.65 tff(7101,plain,
% 134.99/85.65 ((~v104(constB112)) | v102(constB111)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7100, 3128, 7094])).
% 134.99/85.65 tff(7102,plain,
% 134.99/85.65 (~v104(constB112)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7101, 7091])).
% 134.99/85.65 tff(7103,plain,
% 134.99/85.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v94(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v94(constB112)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7104,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v94(constB112)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7105,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v94(constB112))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 134.99/85.65 tff(7106,plain,
% 134.99/85.65 (v104(constB112) | (~v94(constB112))),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7105, 3113, 7094])).
% 134.99/85.65 tff(7107,plain,
% 134.99/85.65 (~v94(constB112)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7106, 7102])).
% 134.99/85.65 tff(7108,assumption,(~v94(constB112)), introduced(assumption)).
% 134.99/85.65 tff(7109,assumption,(~v84(constB112, bitIndex0)), introduced(assumption)).
% 134.99/85.65 tff(7110,assumption,(~v84(constB112, bitIndex2)), introduced(assumption)).
% 134.99/85.65 tff(7111,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB111, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB111, bitIndex2)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7112,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB111, bitIndex2)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7113,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB111, bitIndex2))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7112, 7111])).
% 134.99/85.65 tff(7114,plain,
% 134.99/85.65 (~v84(constB111, bitIndex2)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7113, 777, 767, 7094, 7108, 7110])).
% 134.99/85.65 tff(7115,plain,
% 134.99/85.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB111, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB111, bitIndex0)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7116,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB111, bitIndex0)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7117,plain,
% 134.99/85.65 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB111, bitIndex0))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7116, 7115])).
% 134.99/85.65 tff(7118,plain,
% 134.99/85.65 (~v84(constB111, bitIndex0)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7117, 777, 795, 7094, 7108, 7109])).
% 134.99/85.65 tff(7119,plain,
% 134.99/85.65 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7120,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7121,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB111) | (~nextState(constB111, constB112)) | (~v98(constB112))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7120, 7119])).
% 134.99/85.65 tff(7122,plain,
% 134.99/85.65 (~v98(constB112)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7121, 541, 7094, 6926])).
% 134.99/85.65 tff(7123,plain,
% 134.99/85.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7124,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB111, constB112)) | v96(constB112) | v98(constB112))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7125,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB111, constB112)) | v96(constB112) | v98(constB112)),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 134.99/85.65 tff(7126,plain,
% 134.99/85.65 (v96(constB112) | v98(constB112)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7125, 555, 7094])).
% 134.99/85.65 tff(7127,plain,
% 134.99/85.65 (v96(constB112)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7126, 7122])).
% 134.99/85.65 tff(7128,plain,
% 134.99/85.65 (v1(constB112) <=> v1(constB112)),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7129,axiom,(v1(constB112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_112_1')).
% 134.99/85.65 tff(7130,plain,
% 134.99/85.65 (v1(constB112)),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7129, 7128])).
% 134.99/85.65 tff(7131,plain,
% 134.99/85.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 134.99/85.65 inference(rewrite,[status(thm)],[])).
% 134.99/85.65 tff(7132,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112)))),
% 134.99/85.65 inference(quant_inst,[status(thm)],[])).
% 134.99/85.65 tff(7133,plain,
% 134.99/85.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB111, constB112)) | v95(constB112) | (~v96(constB112)) | (~v1(constB112))),
% 134.99/85.65 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 134.99/85.65 tff(7134,plain,
% 134.99/85.65 (v95(constB112) | (~v96(constB112))),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7133, 573, 7094, 7130])).
% 134.99/85.65 tff(7135,plain,
% 134.99/85.65 (v95(constB112)),
% 134.99/85.65 inference(unit_resolution,[status(thm)],[7134, 7127])).
% 134.99/85.65 tff(7136,plain,
% 134.99/85.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7137,plain,
% 134.99/85.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7138,plain,
% 134.99/85.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB111, constB112)) | (~v95(constB112)) | (~v104(constB112)) | v94(constB112)),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7137, 7136])).
% 134.99/85.66 tff(7139,plain,
% 134.99/85.66 ((~v95(constB112)) | (~v104(constB112)) | v94(constB112)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7138, 588, 7094])).
% 134.99/85.66 tff(7140,plain,
% 134.99/85.66 ((~v104(constB112)) | v94(constB112)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7139, 7135])).
% 134.99/85.66 tff(7141,plain,
% 134.99/85.66 (~v104(constB112)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7140, 7108])).
% 134.99/85.66 tff(7142,plain,
% 134.99/85.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7143,plain,
% 134.99/85.66 (((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112)) <=> ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7144,plain,
% 134.99/85.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))))),
% 134.99/85.66 inference(monotonicity,[status(thm)],[7143])).
% 134.99/85.66 tff(7145,plain,
% 134.99/85.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111)))),
% 134.99/85.66 inference(transitivity,[status(thm)],[7144, 7142])).
% 134.99/85.66 tff(7146,plain,
% 134.99/85.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB111, constB112)) | (~v102(constB111)) | v104(constB112))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7147,plain,
% 134.99/85.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB111, constB112)) | v104(constB112) | (~v102(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7146, 7145])).
% 134.99/85.66 tff(7148,plain,
% 134.99/85.66 (v104(constB112) | (~v102(constB111))),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7147, 604, 7094])).
% 134.99/85.66 tff(7149,plain,
% 134.99/85.66 (~v102(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7148, 7141])).
% 134.99/85.66 tff(7150,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB111) | (~v106(constB111)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB111) | (~v106(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7151,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB111) | (~v106(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7152,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB111) | (~v106(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 134.99/85.66 tff(7153,plain,
% 134.99/85.66 (~v106(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7152, 619, 7149])).
% 134.99/85.66 tff(7154,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB111) | (~v26(constB111)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB111) | (~v26(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7155,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB111) | (~v26(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7156,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB111) | (~v26(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7155, 7154])).
% 134.99/85.66 tff(7157,plain,
% 134.99/85.66 (~v26(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7156, 630, 7149])).
% 134.99/85.66 tff(7158,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | v106(constB111) | (~v107(constB111)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7159,plain,
% 134.99/85.66 ((v26(constB111) | (~v107(constB111)) | v106(constB111)) <=> (v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7160,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | v106(constB111) | (~v107(constB111))))),
% 134.99/85.66 inference(monotonicity,[status(thm)],[7159])).
% 134.99/85.66 tff(7161,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111)))),
% 134.99/85.66 inference(transitivity,[status(thm)],[7160, 7158])).
% 134.99/85.66 tff(7162,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB111) | (~v107(constB111)) | v106(constB111))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7163,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB111) | v106(constB111) | (~v107(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7162, 7161])).
% 134.99/85.66 tff(7164,plain,
% 134.99/85.66 (~v107(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7163, 644, 7157, 7153])).
% 134.99/85.66 tff(7165,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB111) | (~v108(constB111)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB111) | (~v108(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7166,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB111) | (~v108(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7167,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB111) | (~v108(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7166, 7165])).
% 134.99/85.66 tff(7168,plain,
% 134.99/85.66 (~v108(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7167, 658, 7164])).
% 134.99/85.66 tff(7169,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB111) | (~v109(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB111) | (~v109(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7170,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB111) | (~v109(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7171,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB111) | (~v109(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7170, 7169])).
% 134.99/85.66 tff(7172,plain,
% 134.99/85.66 (~v109(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7171, 669, 7168])).
% 134.99/85.66 tff(7173,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB111) | (~v110(constB111)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB111) | (~v110(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7174,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB111) | (~v110(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7175,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB111) | (~v110(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 134.99/85.66 tff(7176,plain,
% 134.99/85.66 (~v110(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7175, 680, 7172])).
% 134.99/85.66 tff(7177,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB111) | (~v111(constB111)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB111) | (~v111(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7178,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB111) | (~v111(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7179,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB111) | (~v111(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7178, 7177])).
% 134.99/85.66 tff(7180,plain,
% 134.99/85.66 (~v111(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7179, 691, 7176])).
% 134.99/85.66 tff(7181,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB111) | (~v112(constB111)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB111) | (~v112(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7182,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB111) | (~v112(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7183,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB111) | (~v112(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7182, 7181])).
% 134.99/85.66 tff(7184,plain,
% 134.99/85.66 (~v112(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7183, 702, 7180])).
% 134.99/85.66 tff(7185,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB111) | (~v113(constB111)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB111) | (~v113(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7186,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB111) | (~v113(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7187,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB111) | (~v113(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 134.99/85.66 tff(7188,plain,
% 134.99/85.66 (~v113(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7187, 969, 7184])).
% 134.99/85.66 tff(7189,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7190,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7191,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB111) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2)),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7190, 7189])).
% 134.99/85.66 tff(7192,plain,
% 134.99/85.66 (v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7191, 983, 7188])).
% 134.99/85.66 tff(7193,plain,
% 134.99/85.66 ($false),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7192, 7118, 7114, 6988])).
% 134.99/85.66 tff(7194,plain,(v84(constB111, bitIndex1) | v94(constB112) | v84(constB112, bitIndex0) | v84(constB112, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.66 tff(7195,plain,
% 134.99/85.66 (v84(constB111, bitIndex1)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7194, 7110, 7109, 7108])).
% 134.99/85.66 tff(7196,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB111) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB111) | (~v115(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7197,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB111) | (~v115(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7198,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB111) | (~v115(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7197, 7196])).
% 134.99/85.66 tff(7199,plain,
% 134.99/85.66 (~v115(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7198, 945, 7180])).
% 134.99/85.66 tff(7200,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v115(constB111))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v115(constB111))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7201,plain,
% 134.99/85.66 ((v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v115(constB111)) <=> (v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v115(constB111))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7202,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v115(constB111))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v115(constB111)))),
% 134.99/85.66 inference(monotonicity,[status(thm)],[7201])).
% 134.99/85.66 tff(7203,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v115(constB111))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v115(constB111))),
% 134.99/85.66 inference(transitivity,[status(thm)],[7202, 7200])).
% 134.99/85.66 tff(7204,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v115(constB111))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7205,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v115(constB111)),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 134.99/85.66 tff(7206,plain,
% 134.99/85.66 (v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1))),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7205, 1095, 7199])).
% 134.99/85.66 tff(7207,plain,
% 134.99/85.66 ($false),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7206, 7114, 7118, 7195])).
% 134.99/85.66 tff(7208,plain,(v84(constB112, bitIndex2) | v94(constB112) | v84(constB112, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.66 tff(7209,plain,
% 134.99/85.66 (v84(constB112, bitIndex2)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7208, 7109, 7108])).
% 134.99/85.66 tff(7210,plain,
% 134.99/85.66 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB111, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB111, bitIndex2))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7211,plain,
% 134.99/85.66 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB111, bitIndex2))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7212,plain,
% 134.99/85.66 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB111, bitIndex2)),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 134.99/85.66 tff(7213,plain,
% 134.99/85.66 (v84(constB111, bitIndex2)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7212, 805, 767, 7094, 7108, 7209])).
% 134.99/85.66 tff(7214,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB111) | (~v119(constB111)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB111) | (~v119(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7215,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB111) | (~v119(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7216,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB111) | (~v119(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7215, 7214])).
% 134.99/85.66 tff(7217,plain,
% 134.99/85.66 (~v119(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7216, 1927, 7164])).
% 134.99/85.66 tff(7218,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB111, bitIndex0) | v119(constB111) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB111, bitIndex0) | v119(constB111) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7219,plain,
% 134.99/85.66 ((v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2)) | v119(constB111)) <=> (v84(constB111, bitIndex0) | v119(constB111) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7220,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2)) | v119(constB111))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB111, bitIndex0) | v119(constB111) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2))))),
% 134.99/85.66 inference(monotonicity,[status(thm)],[7219])).
% 134.99/85.66 tff(7221,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2)) | v119(constB111))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB111, bitIndex0) | v119(constB111) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2)))),
% 134.99/85.66 inference(transitivity,[status(thm)],[7220, 7218])).
% 134.99/85.66 tff(7222,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2)) | v119(constB111))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7223,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB111, bitIndex0) | v119(constB111) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7222, 7221])).
% 134.99/85.66 tff(7224,plain,
% 134.99/85.66 (v84(constB111, bitIndex0) | (~v84(constB111, bitIndex1)) | (~v84(constB111, bitIndex2))),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7223, 1910, 7217])).
% 134.99/85.66 tff(7225,plain,
% 134.99/85.66 (~v84(constB111, bitIndex1)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7224, 7118, 7213])).
% 134.99/85.66 tff(7226,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB111) | (~v172(constB111)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB111) | (~v172(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7227,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB111) | (~v172(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7228,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB111) | (~v172(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 134.99/85.66 tff(7229,plain,
% 134.99/85.66 (~v172(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7228, 1033, 7172])).
% 134.99/85.66 tff(7230,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2)) | v172(constB111))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2)) | v172(constB111))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7231,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2)) | v172(constB111))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7232,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2)) | v172(constB111)),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 134.99/85.66 tff(7233,plain,
% 134.99/85.66 (v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2))),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7232, 1047, 7229])).
% 134.99/85.66 tff(7234,plain,
% 134.99/85.66 ($false),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7233, 7225, 7118, 7213])).
% 134.99/85.66 tff(7235,plain,(v84(constB112, bitIndex0) | v94(constB112)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.66 tff(7236,plain,
% 134.99/85.66 (v84(constB112, bitIndex0)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7235, 7108])).
% 134.99/85.66 tff(7237,assumption,(v107(constB113)), introduced(assumption)).
% 134.99/85.66 tff(7238,plain,
% 134.99/85.66 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB111, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB111, bitIndex0))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7239,plain,
% 134.99/85.66 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB111, bitIndex0))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7240,plain,
% 134.99/85.66 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB111, bitIndex0)),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 134.99/85.66 tff(7241,plain,
% 134.99/85.66 (v84(constB111, bitIndex0)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7240, 805, 795, 7094, 7108, 7236])).
% 134.99/85.66 tff(7242,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB111) | (~v145(constB111)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB111) | (~v145(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7243,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB111) | (~v145(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7244,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB111) | (~v145(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 134.99/85.66 tff(7245,plain,
% 134.99/85.66 (~v145(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7244, 713, 7184])).
% 134.99/85.66 tff(7246,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB111) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB111) | (~v116(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7247,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB111) | (~v116(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7248,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB111) | (~v116(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 134.99/85.66 tff(7249,plain,
% 134.99/85.66 (~v116(constB111)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7248, 934, 7176])).
% 134.99/85.66 tff(7250,assumption,(~v145(constB111)), introduced(assumption)).
% 134.99/85.66 tff(7251,plain,
% 134.99/85.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB111) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB111) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7252,plain,
% 134.99/85.66 (((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111)) <=> (v145(constB111) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7253,plain,
% 134.99/85.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB111) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2)))),
% 134.99/85.66 inference(monotonicity,[status(thm)],[7252])).
% 134.99/85.66 tff(7254,plain,
% 134.99/85.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB111) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2))),
% 134.99/85.66 inference(transitivity,[status(thm)],[7253, 7251])).
% 134.99/85.66 tff(7255,plain,
% 134.99/85.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v145(constB111))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7256,plain,
% 134.99/85.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB111) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2)),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7255, 7254])).
% 134.99/85.66 tff(7257,plain,
% 134.99/85.66 ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7256, 865, 7250])).
% 134.99/85.66 tff(7258,plain,
% 134.99/85.66 (v84(constB111, bitIndex1)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7257, 6923, 7027])).
% 134.99/85.66 tff(7259,assumption,(~v116(constB111)), introduced(assumption)).
% 134.99/85.66 tff(7260,plain,
% 134.99/85.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v116(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v116(constB111))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7261,plain,
% 134.99/85.66 (((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111)) <=> ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v116(constB111))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7262,plain,
% 134.99/85.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v116(constB111)))),
% 134.99/85.66 inference(monotonicity,[status(thm)],[7261])).
% 134.99/85.66 tff(7263,plain,
% 134.99/85.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v116(constB111))),
% 134.99/85.66 inference(transitivity,[status(thm)],[7262, 7260])).
% 134.99/85.66 tff(7264,plain,
% 134.99/85.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1)) | v84(constB111, bitIndex2) | v116(constB111))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7265,plain,
% 134.99/85.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v116(constB111)),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 134.99/85.66 tff(7266,plain,
% 134.99/85.66 ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1))),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7265, 1076, 7259])).
% 134.99/85.66 tff(7267,plain,
% 134.99/85.66 ($false),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7266, 7258, 6923, 7027])).
% 134.99/85.66 tff(7268,plain,(v84(constB111, bitIndex2) | (~v84(constB111, bitIndex0)) | v116(constB111) | v145(constB111)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.66 tff(7269,plain,
% 134.99/85.66 (v84(constB111, bitIndex2)),
% 134.99/85.66 inference(unit_resolution,[status(thm)],[7268, 7241, 7249, 7245])).
% 134.99/85.66 tff(7270,plain,
% 134.99/85.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB111) | (~v118(constB111)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB111) | (~v118(constB111)))),
% 134.99/85.66 inference(rewrite,[status(thm)],[])).
% 134.99/85.66 tff(7271,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB111) | (~v118(constB111)))),
% 134.99/85.66 inference(quant_inst,[status(thm)],[])).
% 134.99/85.66 tff(7272,plain,
% 134.99/85.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB111) | (~v118(constB111))),
% 134.99/85.66 inference(modus_ponens,[status(thm)],[7271, 7270])).
% 134.99/85.66 tff(7273,plain,
% 134.99/85.66 (~v118(constB111)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7272, 1004, 7168])).
% 134.99/85.67 tff(7274,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2)) | v118(constB111))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2)) | v118(constB111))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7275,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2)) | v118(constB111))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7276,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2)) | v118(constB111)),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7275, 7274])).
% 134.99/85.67 tff(7277,plain,
% 134.99/85.67 ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2))),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7276, 1018, 7273])).
% 134.99/85.67 tff(7278,plain,
% 134.99/85.67 (v84(constB111, bitIndex1)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7277, 7269, 7241])).
% 134.99/85.67 tff(7279,assumption,(~v84(constB112, bitIndex1)), introduced(assumption)).
% 134.99/85.67 tff(7280,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB111, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB111, bitIndex1)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7281,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB111, bitIndex1)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7282,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB111, bitIndex1))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7281, 7280])).
% 134.99/85.67 tff(7283,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7282, 777, 823, 7094, 7108, 7279, 7278])).
% 134.99/85.67 tff(7284,plain,(v84(constB112, bitIndex1) | v94(constB112)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7285,plain,
% 134.99/85.67 (v84(constB112, bitIndex1)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7284, 7108])).
% 134.99/85.67 tff(7286,assumption,(~v84(constB113, bitIndex1)), introduced(assumption)).
% 134.99/85.67 tff(7287,assumption,(v84(constB112, bitIndex1)), introduced(assumption)).
% 134.99/85.67 tff(7288,plain,
% 134.99/85.67 ((~v1(constB113)) <=> (~v1(constB113))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7289,axiom,(~v1(constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_113_1_1')).
% 134.99/85.67 tff(7290,plain,
% 134.99/85.67 (~v1(constB113)),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 134.99/85.67 tff(7291,plain,
% 134.99/85.67 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7292,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_112_1')).
% 134.99/85.67 tff(7293,plain,
% 134.99/85.67 (nextState(constB112, constB113)),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7292, 7291])).
% 134.99/85.67 tff(7294,plain,
% 134.99/85.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7295,plain,
% 134.99/85.67 (((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113)) <=> (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7296,plain,
% 134.99/85.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))))),
% 134.99/85.67 inference(monotonicity,[status(thm)],[7295])).
% 134.99/85.67 tff(7297,plain,
% 134.99/85.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113)))),
% 134.99/85.67 inference(transitivity,[status(thm)],[7296, 7294])).
% 134.99/85.67 tff(7298,plain,
% 134.99/85.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB112, constB113)) | (~v95(constB113)) | v1(constB113))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7299,plain,
% 134.99/85.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB113) | (~nextState(constB112, constB113)) | (~v95(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 134.99/85.67 tff(7300,plain,
% 134.99/85.67 (~v95(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7299, 742, 7293, 7290])).
% 134.99/85.67 tff(7301,plain,
% 134.99/85.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7302,plain,
% 134.99/85.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7303,plain,
% 134.99/85.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB112, constB113)) | v95(constB113) | (~v94(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 134.99/85.67 tff(7304,plain,
% 134.99/85.67 (v95(constB113) | (~v94(constB113))),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7303, 759, 7293])).
% 134.99/85.67 tff(7305,plain,
% 134.99/85.67 (~v94(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7304, 7300])).
% 134.99/85.67 tff(7306,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB113, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB113, bitIndex1))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7307,plain,
% 134.99/85.67 (((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB112, bitIndex1))) <=> ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB113, bitIndex1))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7308,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB112, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB113, bitIndex1)))),
% 134.99/85.67 inference(monotonicity,[status(thm)],[7307])).
% 134.99/85.67 tff(7309,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB112, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB113, bitIndex1))),
% 134.99/85.67 inference(transitivity,[status(thm)],[7308, 7306])).
% 134.99/85.67 tff(7310,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB112, bitIndex1)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7311,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB113, bitIndex1)),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 134.99/85.67 tff(7312,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7311, 777, 823, 7293, 7305, 7287, 7286])).
% 134.99/85.67 tff(7313,plain,(v84(constB113, bitIndex1) | (~v84(constB112, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7314,plain,
% 134.99/85.67 (v84(constB113, bitIndex1)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7313, 7285])).
% 134.99/85.67 tff(7315,assumption,(v84(constB113, bitIndex0)), introduced(assumption)).
% 134.99/85.67 tff(7316,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7113, 777, 767, 7094, 7108, 7110, 7269])).
% 134.99/85.67 tff(7317,plain,(v84(constB112, bitIndex2) | v94(constB112)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7318,plain,
% 134.99/85.67 (v84(constB112, bitIndex2)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7317, 7108])).
% 134.99/85.67 tff(7319,assumption,(~v84(constB113, bitIndex2)), introduced(assumption)).
% 134.99/85.67 tff(7320,assumption,(v84(constB112, bitIndex2)), introduced(assumption)).
% 134.99/85.67 tff(7321,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB113, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB113, bitIndex2))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7322,plain,
% 134.99/85.67 (((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB112, bitIndex2))) <=> ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB113, bitIndex2))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7323,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB112, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB113, bitIndex2)))),
% 134.99/85.67 inference(monotonicity,[status(thm)],[7322])).
% 134.99/85.67 tff(7324,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB112, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB113, bitIndex2))),
% 134.99/85.67 inference(transitivity,[status(thm)],[7323, 7321])).
% 134.99/85.67 tff(7325,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB112, bitIndex2)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7326,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB112, bitIndex2)) | v84(constB113, bitIndex2)),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 134.99/85.67 tff(7327,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7326, 777, 767, 7293, 7305, 7320, 7319])).
% 134.99/85.67 tff(7328,plain,(v84(constB113, bitIndex2) | (~v84(constB112, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7329,plain,
% 134.99/85.67 (v84(constB113, bitIndex2)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7328, 7318])).
% 134.99/85.67 tff(7330,assumption,(v84(constB113, bitIndex2)), introduced(assumption)).
% 134.99/85.67 tff(7331,assumption,(v145(constB113)), introduced(assumption)).
% 134.99/85.67 tff(7332,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB113)) | (~v84(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB113)) | (~v84(constB113, bitIndex2)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7333,plain,
% 134.99/85.67 (((~v84(constB113, bitIndex2)) | (~v145(constB113))) <=> ((~v145(constB113)) | (~v84(constB113, bitIndex2)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7334,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB113)) | (~v84(constB113, bitIndex2))))),
% 134.99/85.67 inference(monotonicity,[status(thm)],[7333])).
% 134.99/85.67 tff(7335,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB113)) | (~v84(constB113, bitIndex2)))),
% 134.99/85.67 inference(transitivity,[status(thm)],[7334, 7332])).
% 134.99/85.67 tff(7336,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v145(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7337,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB113)) | (~v84(constB113, bitIndex2))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7336, 7335])).
% 134.99/85.67 tff(7338,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7337, 725, 7331, 7330])).
% 134.99/85.67 tff(7339,plain,((~v145(constB113)) | (~v84(constB113, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7340,plain,
% 134.99/85.67 (~v145(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7339, 7329])).
% 134.99/85.67 tff(7341,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB113, bitIndex0)) | (~v119(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB113, bitIndex0)) | (~v119(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7342,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB113, bitIndex0)) | (~v119(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7343,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB113, bitIndex0)) | (~v119(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 134.99/85.67 tff(7344,plain,
% 134.99/85.67 (~v119(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7343, 3173, 7315])).
% 134.99/85.67 tff(7345,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB113) | v119(constB113) | (~v107(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB113) | v119(constB113) | (~v107(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7346,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB113) | v119(constB113) | (~v107(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7347,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB113) | v119(constB113) | (~v107(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 134.99/85.67 tff(7348,plain,
% 134.99/85.67 (v108(constB113) | v119(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7347, 3195, 7237])).
% 134.99/85.67 tff(7349,plain,
% 134.99/85.67 (v108(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7348, 7344])).
% 134.99/85.67 tff(7350,assumption,(v84(constB113, bitIndex1)), introduced(assumption)).
% 134.99/85.67 tff(7351,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v118(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB113, bitIndex1)) | (~v118(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7352,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v118(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7353,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB113, bitIndex1)) | (~v118(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 134.99/85.67 tff(7354,plain,
% 134.99/85.67 (~v118(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7353, 2842, 7350])).
% 134.99/85.67 tff(7355,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB113) | v118(constB113) | (~v108(constB113)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB113) | v118(constB113) | (~v108(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7356,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB113) | v118(constB113) | (~v108(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7357,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB113) | v118(constB113) | (~v108(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7356, 7355])).
% 134.99/85.67 tff(7358,plain,
% 134.99/85.67 (v109(constB113) | (~v108(constB113))),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7357, 2856, 7354])).
% 134.99/85.67 tff(7359,plain,
% 134.99/85.67 (v109(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7358, 7349])).
% 134.99/85.67 tff(7360,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v172(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB113, bitIndex1)) | (~v172(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7361,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v172(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7362,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB113, bitIndex1)) | (~v172(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7361, 7360])).
% 134.99/85.67 tff(7363,plain,
% 134.99/85.67 (~v172(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7362, 2289, 7350])).
% 134.99/85.67 tff(7364,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB113)) | v172(constB113) | v110(constB113))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB113)) | v172(constB113) | v110(constB113))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7365,plain,
% 134.99/85.67 ((v110(constB113) | (~v109(constB113)) | v172(constB113)) <=> ((~v109(constB113)) | v172(constB113) | v110(constB113))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7366,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB113) | (~v109(constB113)) | v172(constB113))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB113)) | v172(constB113) | v110(constB113)))),
% 134.99/85.67 inference(monotonicity,[status(thm)],[7365])).
% 134.99/85.67 tff(7367,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB113) | (~v109(constB113)) | v172(constB113))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB113)) | v172(constB113) | v110(constB113))),
% 134.99/85.67 inference(transitivity,[status(thm)],[7366, 7364])).
% 134.99/85.67 tff(7368,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB113) | (~v109(constB113)) | v172(constB113))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7369,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB113)) | v172(constB113) | v110(constB113)),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7368, 7367])).
% 134.99/85.67 tff(7370,plain,
% 134.99/85.67 ((~v109(constB113)) | v110(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7369, 2871, 7363])).
% 134.99/85.67 tff(7371,plain,
% 134.99/85.67 (v110(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7370, 7359])).
% 134.99/85.67 tff(7372,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v116(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB113, bitIndex2)) | (~v116(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7373,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v116(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7374,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB113, bitIndex2)) | (~v116(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 134.99/85.67 tff(7375,plain,
% 134.99/85.67 (~v116(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7374, 1130, 7330])).
% 134.99/85.67 tff(7376,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB113)) | (~v84(constB113, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB113)) | (~v84(constB113, bitIndex1)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7377,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB113)) | (~v84(constB113, bitIndex1)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7378,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB113)) | (~v84(constB113, bitIndex1))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7377, 7376])).
% 134.99/85.67 tff(7379,plain,
% 134.99/85.67 (~v113(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7378, 1465, 7350])).
% 134.99/85.67 tff(7380,assumption,(~v145(constB113)), introduced(assumption)).
% 134.99/85.67 tff(7381,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB113) | v113(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB113) | v113(constB113) | (~v112(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7382,plain,
% 134.99/85.67 ((v113(constB113) | (~v112(constB113)) | v145(constB113)) <=> (v145(constB113) | v113(constB113) | (~v112(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7383,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB113) | (~v112(constB113)) | v145(constB113))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB113) | v113(constB113) | (~v112(constB113))))),
% 134.99/85.67 inference(monotonicity,[status(thm)],[7382])).
% 134.99/85.67 tff(7384,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB113) | (~v112(constB113)) | v145(constB113))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB113) | v113(constB113) | (~v112(constB113)))),
% 134.99/85.67 inference(transitivity,[status(thm)],[7383, 7381])).
% 134.99/85.67 tff(7385,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB113) | (~v112(constB113)) | v145(constB113))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7386,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB113) | v113(constB113) | (~v112(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 134.99/85.67 tff(7387,plain,
% 134.99/85.67 (v113(constB113) | (~v112(constB113))),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7386, 2894, 7380])).
% 134.99/85.67 tff(7388,plain,
% 134.99/85.67 (~v112(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7387, 7379])).
% 134.99/85.67 tff(7389,plain,
% 134.99/85.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB113, bitIndex0)) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB113, bitIndex0)) | (~v115(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7390,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB113, bitIndex0)) | (~v115(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7391,plain,
% 134.99/85.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB113, bitIndex0)) | (~v115(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 134.99/85.67 tff(7392,plain,
% 134.99/85.67 (~v115(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7391, 3011, 7315])).
% 134.99/85.67 tff(7393,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB113) | v115(constB113) | (~v111(constB113)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB113) | v115(constB113) | (~v111(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7394,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB113) | v115(constB113) | (~v111(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7395,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB113) | v115(constB113) | (~v111(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 134.99/85.67 tff(7396,plain,
% 134.99/85.67 (~v111(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7395, 2911, 7392, 7388])).
% 134.99/85.67 tff(7397,plain,
% 134.99/85.67 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB113) | v116(constB113) | (~v110(constB113)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB113) | v116(constB113) | (~v110(constB113)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7398,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB113) | v116(constB113) | (~v110(constB113)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7399,plain,
% 134.99/85.67 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB113) | v116(constB113) | (~v110(constB113))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 134.99/85.67 tff(7400,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7399, 2932, 7396, 7375, 7371])).
% 134.99/85.67 tff(7401,plain,(v145(constB113) | (~v107(constB113)) | (~v84(constB113, bitIndex2)) | (~v84(constB113, bitIndex0)) | (~v84(constB113, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7402,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7401, 7340, 7329, 7237, 7315, 7314])).
% 134.99/85.67 tff(7403,plain,(v94(constB112) | (~v107(constB113)) | (~v84(constB113, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7404,plain,
% 134.99/85.67 (~v84(constB113, bitIndex0)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7403, 7108, 7237])).
% 134.99/85.67 tff(7405,assumption,(~v84(constB113, bitIndex0)), introduced(assumption)).
% 134.99/85.67 tff(7406,assumption,(v84(constB112, bitIndex0)), introduced(assumption)).
% 134.99/85.67 tff(7407,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB113, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB113, bitIndex0))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7408,plain,
% 134.99/85.67 (((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB112, bitIndex0))) <=> ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB113, bitIndex0))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7409,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB112, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB113, bitIndex0)))),
% 134.99/85.67 inference(monotonicity,[status(thm)],[7408])).
% 134.99/85.67 tff(7410,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB112, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB113, bitIndex0))),
% 134.99/85.67 inference(transitivity,[status(thm)],[7409, 7407])).
% 134.99/85.67 tff(7411,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB112, bitIndex0)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7412,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB112, bitIndex0)) | v84(constB113, bitIndex0)),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7411, 7410])).
% 134.99/85.67 tff(7413,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7412, 777, 795, 7293, 7305, 7406, 7405])).
% 134.99/85.67 tff(7414,plain,(v84(constB113, bitIndex0) | (~v84(constB112, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7415,plain,
% 134.99/85.67 ($false),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7414, 7404, 7236])).
% 134.99/85.67 tff(7416,plain,(v94(constB112) | (~v107(constB113))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.67 tff(7417,plain,
% 134.99/85.67 (~v107(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7416, 7107])).
% 134.99/85.67 tff(7418,plain,
% 134.99/85.67 (~v112(constB111)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[6969, 6948])).
% 134.99/85.67 tff(7419,plain,
% 134.99/85.67 (~v172(constB111)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[6999, 2289, 6996])).
% 134.99/85.67 tff(7420,plain,
% 134.99/85.67 (~v107(constB111)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7074, 7419, 6948, 7418, 7027, 6996])).
% 134.99/85.67 tff(7421,plain,
% 134.99/85.67 (~v106(constB111)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7078, 3161, 7420])).
% 134.99/85.67 tff(7422,plain,
% 134.99/85.67 (~v102(constB111)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7090, 7421])).
% 134.99/85.67 tff(7423,plain,
% 134.99/85.67 (~v104(constB112)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7101, 7422])).
% 134.99/85.67 tff(7424,plain,
% 134.99/85.67 (~v94(constB112)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7106, 7423])).
% 134.99/85.67 tff(7425,plain,
% 134.99/85.67 (v84(constB112, bitIndex2)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7317, 7424])).
% 134.99/85.67 tff(7426,plain,
% 134.99/85.67 (v84(constB113, bitIndex2)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7328, 7425])).
% 134.99/85.67 tff(7427,plain,
% 134.99/85.67 (~v116(constB113)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7374, 1130, 7426])).
% 134.99/85.67 tff(7428,plain,
% 134.99/85.67 (v94(constB112)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7284, 7279])).
% 134.99/85.67 tff(7429,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB112)) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7430,plain,
% 134.99/85.67 (((~less_3(bitIndex1)) | (~v94(constB112)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1))) <=> ((~v94(constB112)) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)))),
% 134.99/85.67 inference(rewrite,[status(thm)],[])).
% 134.99/85.67 tff(7431,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB112)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB112)) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1))))),
% 134.99/85.67 inference(monotonicity,[status(thm)],[7430])).
% 134.99/85.67 tff(7432,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB112)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)))),
% 134.99/85.67 inference(transitivity,[status(thm)],[7431, 7429])).
% 134.99/85.67 tff(7433,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB112)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1)))),
% 134.99/85.67 inference(quant_inst,[status(thm)],[])).
% 134.99/85.67 tff(7434,plain,
% 134.99/85.67 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1))),
% 134.99/85.67 inference(modus_ponens,[status(thm)],[7433, 7432])).
% 134.99/85.67 tff(7435,plain,
% 134.99/85.67 (~v123(constB112, bitIndex1)),
% 134.99/85.67 inference(unit_resolution,[status(thm)],[7434, 1674, 823, 7428, 7279])).
% 134.99/85.67 tff(7436,plain,
% 134.99/85.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex1)) | v123(constB112, bitIndex1) | (~v121(constB111, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex1)) | v123(constB112, bitIndex1) | (~v121(constB111, bitIndex1)))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7437,plain,
% 134.99/85.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex1)) | v123(constB112, bitIndex1) | (~v121(constB111, bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7438,plain,
% 134.99/85.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex1)) | v123(constB112, bitIndex1) | (~v121(constB111, bitIndex1))),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 134.99/85.68 tff(7439,plain,
% 134.99/85.68 (~v121(constB111, bitIndex1)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7438, 1708, 823, 7094, 7435])).
% 134.99/85.68 tff(7440,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex1)) | v121(constB111, bitIndex1) | (~v124(constB111, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex1)) | v121(constB111, bitIndex1) | (~v124(constB111, bitIndex1)))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7441,plain,
% 134.99/85.68 ((v26(constB111) | v121(constB111, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1))) <=> (v26(constB111) | (~less_3(bitIndex1)) | v121(constB111, bitIndex1) | (~v124(constB111, bitIndex1)))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7442,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex1)) | v121(constB111, bitIndex1) | (~v124(constB111, bitIndex1))))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7441])).
% 134.99/85.68 tff(7443,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex1)) | v121(constB111, bitIndex1) | (~v124(constB111, bitIndex1)))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7442, 7440])).
% 134.99/85.68 tff(7444,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7445,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex1)) | v121(constB111, bitIndex1) | (~v124(constB111, bitIndex1))),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 134.99/85.68 tff(7446,plain,
% 134.99/85.68 (~v124(constB111, bitIndex1)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7445, 1728, 823, 7083, 7439])).
% 134.99/85.68 tff(7447,plain,
% 134.99/85.68 (v104(constB112)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7106, 7428])).
% 134.99/85.68 tff(7448,plain,
% 134.99/85.68 (v102(constB111)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7101, 7447])).
% 134.99/85.68 tff(7449,plain,
% 134.99/85.68 (v106(constB111)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7090, 7448])).
% 134.99/85.68 tff(7450,plain,
% 134.99/85.68 (v107(constB111)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7078, 3161, 7449])).
% 134.99/85.68 tff(7451,plain,
% 134.99/85.68 (v172(constB111)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7074, 7450, 6948, 7418, 7027, 6996])).
% 134.99/85.68 tff(7452,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB111)) | v124(constB111, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB111)) | v124(constB111, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7453,plain,
% 134.99/85.68 (((~v172(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB111)) | v124(constB111, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7454,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB111)) | v124(constB111, bitIndex1)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7453])).
% 134.99/85.68 tff(7455,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB111)) | v124(constB111, bitIndex1))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7454, 7452])).
% 134.99/85.68 tff(7456,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b110(bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7457,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB111)) | v124(constB111, bitIndex1)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7456, 7455])).
% 134.99/85.68 tff(7458,plain,
% 134.99/85.68 ($false),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7457, 1801, 1798, 823, 7451, 7446])).
% 134.99/85.68 tff(7459,plain,(v84(constB112, bitIndex1) | (~v84(constB111, bitIndex2)) | (~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.68 tff(7460,plain,
% 134.99/85.68 (v84(constB112, bitIndex1)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7459, 7027, 6948, 6996])).
% 134.99/85.68 tff(7461,plain,
% 134.99/85.68 (v84(constB113, bitIndex1)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7313, 7460])).
% 134.99/85.68 tff(7462,plain,
% 134.99/85.68 (~v113(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7378, 1465, 7461])).
% 134.99/85.68 tff(7463,assumption,(~v84(constB114, bitIndex1)), introduced(assumption)).
% 134.99/85.68 tff(7464,assumption,(~v94(constB114)), introduced(assumption)).
% 134.99/85.68 tff(7465,plain,
% 134.99/85.68 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7466,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_113_1')).
% 134.99/85.68 tff(7467,plain,
% 134.99/85.68 (nextState(constB113, constB114)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 134.99/85.68 tff(7468,plain,
% 134.99/85.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB114, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB114, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7469,plain,
% 134.99/85.68 (((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB114, bitIndex1) | (~v84(constB113, bitIndex1))) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB114, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7470,plain,
% 134.99/85.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB114, bitIndex1) | (~v84(constB113, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB114, bitIndex1)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7469])).
% 134.99/85.68 tff(7471,plain,
% 134.99/85.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB114, bitIndex1) | (~v84(constB113, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB114, bitIndex1))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7470, 7468])).
% 134.99/85.68 tff(7472,plain,
% 134.99/85.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB114, bitIndex1) | (~v84(constB113, bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7473,plain,
% 134.99/85.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB114, bitIndex1)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7472, 7471])).
% 134.99/85.68 tff(7474,plain,
% 134.99/85.68 ($false),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7473, 777, 823, 7467, 7464, 7463, 7350])).
% 134.99/85.68 tff(7475,plain,(v84(constB114, bitIndex1) | v94(constB114) | (~v84(constB113, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.68 tff(7476,plain,
% 134.99/85.68 (v94(constB114)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7475, 7463, 7461])).
% 134.99/85.68 tff(7477,plain,
% 134.99/85.68 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v84(constB114, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v84(constB114, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7478,plain,
% 134.99/85.68 (((~less_3(bitIndex1)) | (~v94(constB114)) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1))) <=> ((~v94(constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v84(constB114, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7479,plain,
% 134.99/85.68 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB114)) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v84(constB114, bitIndex1)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7478])).
% 134.99/85.68 tff(7480,plain,
% 134.99/85.68 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB114)) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v84(constB114, bitIndex1))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7479, 7477])).
% 134.99/85.68 tff(7481,plain,
% 134.99/85.68 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB114)) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7482,plain,
% 134.99/85.68 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v84(constB114, bitIndex1)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 134.99/85.68 tff(7483,plain,
% 134.99/85.68 (~v123(constB114, bitIndex1)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7482, 1674, 823, 7476, 7463])).
% 134.99/85.68 tff(7484,plain,
% 134.99/85.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex1)) | v123(constB114, bitIndex1) | (~v121(constB113, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex1)) | v123(constB114, bitIndex1) | (~v121(constB113, bitIndex1)))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7485,plain,
% 134.99/85.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex1)) | v123(constB114, bitIndex1) | (~v121(constB113, bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7486,plain,
% 134.99/85.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex1)) | v123(constB114, bitIndex1) | (~v121(constB113, bitIndex1))),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 134.99/85.68 tff(7487,plain,
% 134.99/85.68 (~v121(constB113, bitIndex1)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7486, 1708, 823, 7467, 7483])).
% 134.99/85.68 tff(7488,assumption,(v26(constB113)), introduced(assumption)).
% 134.99/85.68 tff(7489,plain,
% 134.99/85.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7490,plain,
% 134.99/85.68 ($false),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7489, 1172, 7488])).
% 134.99/85.68 tff(7491,plain,(~v26(constB113)), inference(lemma,lemma(discharge,[]))).
% 134.99/85.68 tff(7492,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7493,plain,
% 134.99/85.68 ((v26(constB113) | v121(constB113, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1))) <=> (v26(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7494,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7493])).
% 134.99/85.68 tff(7495,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7494, 7492])).
% 134.99/85.68 tff(7496,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7497,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | v121(constB113, bitIndex1)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 134.99/85.68 tff(7498,plain,
% 134.99/85.68 (~v124(constB113, bitIndex1)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7497, 1728, 823, 7491, 7487])).
% 134.99/85.68 tff(7499,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB113)) | (~b010(bitIndex1)) | v124(constB113, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB113)) | (~b010(bitIndex1)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7500,plain,
% 134.99/85.68 (((~v145(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB113)) | (~b010(bitIndex1)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7501,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB113)) | (~b010(bitIndex1)) | v124(constB113, bitIndex1)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7500])).
% 134.99/85.68 tff(7502,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB113)) | (~b010(bitIndex1)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7501, 7499])).
% 134.99/85.68 tff(7503,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b010(bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7504,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB113)) | (~b010(bitIndex1)) | v124(constB113, bitIndex1)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7503, 7502])).
% 134.99/85.68 tff(7505,plain,
% 134.99/85.68 (~v145(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7504, 1821, 1818, 823, 7498])).
% 134.99/85.68 tff(7506,plain,
% 134.99/85.68 (v113(constB113) | (~v112(constB113))),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7386, 2894, 7505])).
% 134.99/85.68 tff(7507,plain,
% 134.99/85.68 (~v112(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7506, 7462])).
% 134.99/85.68 tff(7508,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB113)) | v124(constB113, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7509,plain,
% 134.99/85.68 (((~v115(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7510,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB113)) | v124(constB113, bitIndex1)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7509])).
% 134.99/85.68 tff(7511,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7510, 7508])).
% 134.99/85.68 tff(7512,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b011(bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7513,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB113)) | v124(constB113, bitIndex1)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 134.99/85.68 tff(7514,plain,
% 134.99/85.68 (~v115(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7513, 3033, 1193, 823, 7498])).
% 134.99/85.68 tff(7515,plain,
% 134.99/85.68 (v112(constB113) | (~v111(constB113))),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7395, 2911, 7514])).
% 134.99/85.68 tff(7516,plain,
% 134.99/85.68 (~v111(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7515, 7507])).
% 134.99/85.68 tff(7517,plain,
% 134.99/85.68 (v116(constB113) | (~v110(constB113))),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7399, 2932, 7516])).
% 134.99/85.68 tff(7518,plain,
% 134.99/85.68 (~v110(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7517, 7427])).
% 134.99/85.68 tff(7519,plain,
% 134.99/85.68 (v84(constB112, bitIndex0)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7235, 7424])).
% 134.99/85.68 tff(7520,plain,
% 134.99/85.68 (v84(constB113, bitIndex0)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7414, 7519])).
% 134.99/85.68 tff(7521,plain,
% 134.99/85.68 (~v119(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7343, 3173, 7520])).
% 134.99/85.68 tff(7522,plain,
% 134.99/85.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v94(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v94(constB114)))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7523,plain,
% 134.99/85.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v94(constB114)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7524,plain,
% 134.99/85.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v94(constB114))),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 134.99/85.68 tff(7525,plain,
% 134.99/85.68 (v104(constB114) | (~v94(constB114))),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7524, 3113, 7467])).
% 134.99/85.68 tff(7526,plain,
% 134.99/85.68 (v104(constB114)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7525, 7476])).
% 134.99/85.68 tff(7527,plain,
% 134.99/85.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB113, constB114)) | (~v104(constB114)) | v102(constB113))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB113, constB114)) | (~v104(constB114)) | v102(constB113))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7528,plain,
% 134.99/85.68 (((~nextState(constB113, constB114)) | v102(constB113) | (~v104(constB114))) <=> ((~nextState(constB113, constB114)) | (~v104(constB114)) | v102(constB113))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7529,plain,
% 134.99/85.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB113, constB114)) | v102(constB113) | (~v104(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB113, constB114)) | (~v104(constB114)) | v102(constB113)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7528])).
% 134.99/85.68 tff(7530,plain,
% 134.99/85.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB113, constB114)) | v102(constB113) | (~v104(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB113, constB114)) | (~v104(constB114)) | v102(constB113))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7529, 7527])).
% 134.99/85.68 tff(7531,plain,
% 134.99/85.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB113, constB114)) | v102(constB113) | (~v104(constB114)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7532,plain,
% 134.99/85.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB113, constB114)) | (~v104(constB114)) | v102(constB113)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7531, 7530])).
% 134.99/85.68 tff(7533,plain,
% 134.99/85.68 ((~v104(constB114)) | v102(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7532, 3128, 7467])).
% 134.99/85.68 tff(7534,plain,
% 134.99/85.68 (v102(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7533, 7526])).
% 134.99/85.68 tff(7535,plain,
% 134.99/85.68 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB113)) | v26(constB113) | v106(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB113)) | v26(constB113) | v106(constB113))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7536,plain,
% 134.99/85.68 ((v26(constB113) | v106(constB113) | (~v102(constB113))) <=> ((~v102(constB113)) | v26(constB113) | v106(constB113))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7537,plain,
% 134.99/85.68 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB113) | v106(constB113) | (~v102(constB113)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB113)) | v26(constB113) | v106(constB113)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7536])).
% 134.99/85.68 tff(7538,plain,
% 134.99/85.68 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB113) | v106(constB113) | (~v102(constB113)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB113)) | v26(constB113) | v106(constB113))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7537, 7535])).
% 134.99/85.68 tff(7539,plain,
% 134.99/85.68 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB113) | v106(constB113) | (~v102(constB113)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7540,plain,
% 134.99/85.68 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB113)) | v26(constB113) | v106(constB113)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7539, 7538])).
% 134.99/85.68 tff(7541,plain,
% 134.99/85.68 ((~v102(constB113)) | v106(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7540, 3146, 7491])).
% 134.99/85.68 tff(7542,plain,
% 134.99/85.68 (v106(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7541, 7534])).
% 134.99/85.68 tff(7543,plain,
% 134.99/85.68 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB113) | (~v106(constB113)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB113) | (~v106(constB113)))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7544,plain,
% 134.99/85.68 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB113) | (~v106(constB113)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7545,plain,
% 134.99/85.68 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB113) | (~v106(constB113))),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7544, 7543])).
% 134.99/85.68 tff(7546,plain,
% 134.99/85.68 (v107(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7545, 3161, 7542])).
% 134.99/85.68 tff(7547,plain,
% 134.99/85.68 (v108(constB113) | v119(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7347, 3195, 7546])).
% 134.99/85.68 tff(7548,plain,
% 134.99/85.68 (v108(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7547, 7521])).
% 134.99/85.68 tff(7549,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB113)) | v124(constB113, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7550,plain,
% 134.99/85.68 (((~v118(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7551,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB113)) | v124(constB113, bitIndex1)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7550])).
% 134.99/85.68 tff(7552,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(transitivity,[status(thm)],[7551, 7549])).
% 134.99/85.68 tff(7553,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b011(bitIndex1)))),
% 134.99/85.68 inference(quant_inst,[status(thm)],[])).
% 134.99/85.68 tff(7554,plain,
% 134.99/85.68 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB113)) | v124(constB113, bitIndex1)),
% 134.99/85.68 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 134.99/85.68 tff(7555,plain,
% 134.99/85.68 (~v118(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7554, 3033, 1145, 823, 7498])).
% 134.99/85.68 tff(7556,plain,
% 134.99/85.68 (v109(constB113) | (~v108(constB113))),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7357, 2856, 7555])).
% 134.99/85.68 tff(7557,plain,
% 134.99/85.68 (v109(constB113)),
% 134.99/85.68 inference(unit_resolution,[status(thm)],[7556, 7548])).
% 134.99/85.68 tff(7558,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB113)) | v124(constB113, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7559,plain,
% 134.99/85.68 (((~v172(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.68 inference(rewrite,[status(thm)],[])).
% 134.99/85.68 tff(7560,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB113)) | v124(constB113, bitIndex1)))),
% 134.99/85.68 inference(monotonicity,[status(thm)],[7559])).
% 134.99/85.68 tff(7561,plain,
% 134.99/85.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB113)) | v124(constB113, bitIndex1))),
% 134.99/85.69 inference(transitivity,[status(thm)],[7560, 7558])).
% 134.99/85.69 tff(7562,plain,
% 134.99/85.69 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB113)) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~b110(bitIndex1)))),
% 134.99/85.69 inference(quant_inst,[status(thm)],[])).
% 134.99/85.69 tff(7563,plain,
% 134.99/85.69 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB113)) | v124(constB113, bitIndex1)),
% 134.99/85.69 inference(modus_ponens,[status(thm)],[7562, 7561])).
% 134.99/85.69 tff(7564,plain,
% 134.99/85.69 (~v172(constB113)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7563, 1801, 1798, 823, 7498])).
% 134.99/85.69 tff(7565,plain,
% 134.99/85.69 ((~v109(constB113)) | v110(constB113)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7369, 2871, 7564])).
% 134.99/85.69 tff(7566,plain,
% 134.99/85.69 ($false),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7565, 7557, 7518])).
% 134.99/85.69 tff(7567,plain,(v84(constB114, bitIndex1) | (~v84(constB111, bitIndex2)) | (~v84(constB111, bitIndex0)) | (~v84(constB111, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 134.99/85.69 tff(7568,plain,
% 134.99/85.69 (v84(constB114, bitIndex1)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7567, 7026, 6994, 6947])).
% 134.99/85.69 tff(7569,plain,
% 134.99/85.69 (v84(constB112, bitIndex2)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7317, 7107])).
% 134.99/85.69 tff(7570,plain,
% 134.99/85.69 (v84(constB113, bitIndex2)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7328, 7569])).
% 134.99/85.69 tff(7571,plain,
% 134.99/85.69 (~v106(constB113)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7545, 3161, 7417])).
% 134.99/85.69 tff(7572,plain,
% 134.99/85.69 (~v102(constB113)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7541, 7571])).
% 134.99/85.69 tff(7573,plain,
% 134.99/85.69 (~v104(constB114)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7533, 7572])).
% 134.99/85.69 tff(7574,plain,
% 134.99/85.69 (~v94(constB114)),
% 134.99/85.69 inference(unit_resolution,[status(thm)],[7525, 7573])).
% 134.99/85.69 tff(7575,assumption,(~v84(constB114, bitIndex2)), introduced(assumption)).
% 134.99/85.69 tff(7576,plain,
% 134.99/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB114, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB114, bitIndex2))),
% 134.99/85.69 inference(rewrite,[status(thm)],[])).
% 134.99/85.69 tff(7577,plain,
% 134.99/85.69 (((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB114, bitIndex2) | (~v84(constB113, bitIndex2))) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB114, bitIndex2))),
% 134.99/85.69 inference(rewrite,[status(thm)],[])).
% 134.99/85.69 tff(7578,plain,
% 134.99/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB114, bitIndex2) | (~v84(constB113, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB114, bitIndex2)))),
% 134.99/85.69 inference(monotonicity,[status(thm)],[7577])).
% 134.99/85.69 tff(7579,plain,
% 134.99/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB114, bitIndex2) | (~v84(constB113, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB114, bitIndex2))),
% 135.04/85.69 inference(transitivity,[status(thm)],[7578, 7576])).
% 135.04/85.69 tff(7580,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB114, bitIndex2) | (~v84(constB113, bitIndex2)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7581,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB114, bitIndex2)),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 135.04/85.69 tff(7582,plain,
% 135.04/85.69 ($false),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7581, 777, 767, 7467, 7464, 7575, 7330])).
% 135.04/85.69 tff(7583,plain,(v84(constB114, bitIndex2) | v94(constB114) | (~v84(constB113, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.69 tff(7584,plain,
% 135.04/85.69 (v84(constB114, bitIndex2)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7583, 7574, 7570])).
% 135.04/85.69 tff(7585,assumption,(~v107(constB113)), introduced(assumption)).
% 135.04/85.69 tff(7586,plain,
% 135.04/85.69 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB113) | (~v119(constB113)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB113) | (~v119(constB113)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7587,plain,
% 135.04/85.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB113) | (~v119(constB113)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7588,plain,
% 135.04/85.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB113) | (~v119(constB113))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7587, 7586])).
% 135.04/85.69 tff(7589,plain,
% 135.04/85.69 (~v119(constB113)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7588, 1927, 7585])).
% 135.04/85.69 tff(7590,plain,
% 135.04/85.69 (~v106(constB113)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7545, 3161, 7585])).
% 135.04/85.69 tff(7591,plain,
% 135.04/85.69 (~v102(constB113)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7541, 7590])).
% 135.04/85.69 tff(7592,plain,
% 135.04/85.69 (~v104(constB114)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7533, 7591])).
% 135.04/85.69 tff(7593,plain,
% 135.04/85.69 (~v94(constB114)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7525, 7592])).
% 135.04/85.69 tff(7594,assumption,(~v84(constB114, bitIndex0)), introduced(assumption)).
% 135.04/85.69 tff(7595,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB114, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB114, bitIndex0))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7596,plain,
% 135.04/85.69 (((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB114, bitIndex0) | (~v84(constB113, bitIndex0))) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB114, bitIndex0))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7597,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB114, bitIndex0) | (~v84(constB113, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB114, bitIndex0)))),
% 135.04/85.69 inference(monotonicity,[status(thm)],[7596])).
% 135.04/85.69 tff(7598,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB114, bitIndex0) | (~v84(constB113, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB114, bitIndex0))),
% 135.04/85.69 inference(transitivity,[status(thm)],[7597, 7595])).
% 135.04/85.69 tff(7599,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB114, bitIndex0) | (~v84(constB113, bitIndex0)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7600,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB114, bitIndex0)),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7599, 7598])).
% 135.04/85.69 tff(7601,plain,
% 135.04/85.69 (v94(constB114) | (~v84(constB113, bitIndex0))),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7600, 777, 795, 7467, 7594])).
% 135.04/85.69 tff(7602,plain,
% 135.04/85.69 (~v84(constB113, bitIndex0)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7601, 7593])).
% 135.04/85.69 tff(7603,assumption,(v84(constB114, bitIndex2)), introduced(assumption)).
% 135.04/85.69 tff(7604,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB114, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB114, bitIndex2)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7605,plain,
% 135.04/85.69 (((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB114, bitIndex2)) | v84(constB113, bitIndex2)) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB114, bitIndex2)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7606,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB114, bitIndex2)) | v84(constB113, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB114, bitIndex2))))),
% 135.04/85.69 inference(monotonicity,[status(thm)],[7605])).
% 135.04/85.69 tff(7607,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB114, bitIndex2)) | v84(constB113, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB114, bitIndex2)))),
% 135.04/85.69 inference(transitivity,[status(thm)],[7606, 7604])).
% 135.04/85.69 tff(7608,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | (~v84(constB114, bitIndex2)) | v84(constB113, bitIndex2))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7609,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex2)) | v84(constB113, bitIndex2) | (~v84(constB114, bitIndex2))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7608, 7607])).
% 135.04/85.69 tff(7610,plain,
% 135.04/85.69 (v94(constB114) | v84(constB113, bitIndex2)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7609, 805, 767, 7467, 7603])).
% 135.04/85.69 tff(7611,plain,
% 135.04/85.69 (v84(constB113, bitIndex2)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7610, 7593])).
% 135.04/85.69 tff(7612,assumption,(v84(constB114, bitIndex1)), introduced(assumption)).
% 135.04/85.69 tff(7613,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB114, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB114, bitIndex1)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7614,plain,
% 135.04/85.69 (((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB114, bitIndex1)) | v84(constB113, bitIndex1)) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB114, bitIndex1)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7615,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB114, bitIndex1)) | v84(constB113, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB114, bitIndex1))))),
% 135.04/85.69 inference(monotonicity,[status(thm)],[7614])).
% 135.04/85.69 tff(7616,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB114, bitIndex1)) | v84(constB113, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB114, bitIndex1)))),
% 135.04/85.69 inference(transitivity,[status(thm)],[7615, 7613])).
% 135.04/85.69 tff(7617,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | (~v84(constB114, bitIndex1)) | v84(constB113, bitIndex1))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7618,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex1)) | v84(constB113, bitIndex1) | (~v84(constB114, bitIndex1))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7617, 7616])).
% 135.04/85.69 tff(7619,plain,
% 135.04/85.69 (v94(constB114) | v84(constB113, bitIndex1)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7618, 805, 823, 7467, 7612])).
% 135.04/85.69 tff(7620,plain,
% 135.04/85.69 (v84(constB113, bitIndex1)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7619, 7593])).
% 135.04/85.69 tff(7621,plain,
% 135.04/85.69 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB113, bitIndex0) | v119(constB113) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB113, bitIndex0) | v119(constB113) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7622,plain,
% 135.04/85.69 ((v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2)) | v119(constB113)) <=> (v84(constB113, bitIndex0) | v119(constB113) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7623,plain,
% 135.04/85.69 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2)) | v119(constB113))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB113, bitIndex0) | v119(constB113) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2))))),
% 135.04/85.69 inference(monotonicity,[status(thm)],[7622])).
% 135.04/85.69 tff(7624,plain,
% 135.04/85.69 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2)) | v119(constB113))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB113, bitIndex0) | v119(constB113) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2)))),
% 135.04/85.69 inference(transitivity,[status(thm)],[7623, 7621])).
% 135.04/85.69 tff(7625,plain,
% 135.04/85.69 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2)) | v119(constB113))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7626,plain,
% 135.04/85.69 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB113, bitIndex0) | v119(constB113) | (~v84(constB113, bitIndex1)) | (~v84(constB113, bitIndex2))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7625, 7624])).
% 135.04/85.69 tff(7627,plain,
% 135.04/85.69 ($false),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7626, 1910, 7620, 7611, 7602, 7589])).
% 135.04/85.69 tff(7628,plain,(v107(constB113) | v84(constB114, bitIndex0) | (~v84(constB114, bitIndex2)) | (~v84(constB114, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.69 tff(7629,plain,
% 135.04/85.69 (v84(constB114, bitIndex0)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7628, 7584, 7568, 7417])).
% 135.04/85.69 tff(7630,assumption,(v84(constB114, bitIndex0)), introduced(assumption)).
% 135.04/85.69 tff(7631,assumption,(~v84(constB115, bitIndex0)), introduced(assumption)).
% 135.04/85.69 tff(7632,plain,
% 135.04/85.69 ((~v1(constB115)) <=> (~v1(constB115))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7633,axiom,(~v1(constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_115_1_1')).
% 135.04/85.69 tff(7634,plain,
% 135.04/85.69 (~v1(constB115)),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7633, 7632])).
% 135.04/85.69 tff(7635,plain,
% 135.04/85.69 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7636,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_114_1')).
% 135.04/85.69 tff(7637,plain,
% 135.04/85.69 (nextState(constB114, constB115)),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 135.04/85.69 tff(7638,plain,
% 135.04/85.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7639,plain,
% 135.04/85.69 (((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115)) <=> (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7640,plain,
% 135.04/85.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))))),
% 135.04/85.69 inference(monotonicity,[status(thm)],[7639])).
% 135.04/85.69 tff(7641,plain,
% 135.04/85.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115)))),
% 135.04/85.69 inference(transitivity,[status(thm)],[7640, 7638])).
% 135.04/85.69 tff(7642,plain,
% 135.04/85.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB114, constB115)) | (~v95(constB115)) | v1(constB115))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7643,plain,
% 135.04/85.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB115) | (~nextState(constB114, constB115)) | (~v95(constB115))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7642, 7641])).
% 135.04/85.69 tff(7644,plain,
% 135.04/85.69 (~v95(constB115)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7643, 742, 7637, 7634])).
% 135.04/85.69 tff(7645,plain,
% 135.04/85.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7646,plain,
% 135.04/85.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7647,plain,
% 135.04/85.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB114, constB115)) | v95(constB115) | (~v94(constB115))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 135.04/85.69 tff(7648,plain,
% 135.04/85.69 (v95(constB115) | (~v94(constB115))),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7647, 759, 7637])).
% 135.04/85.69 tff(7649,plain,
% 135.04/85.69 (~v94(constB115)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7648, 7644])).
% 135.04/85.69 tff(7650,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB114, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB114, bitIndex0)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7651,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB114, bitIndex0)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7652,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB114, bitIndex0))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7651, 7650])).
% 135.04/85.69 tff(7653,plain,
% 135.04/85.69 ($false),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7652, 777, 795, 7637, 7649, 7631, 7630])).
% 135.04/85.69 tff(7654,plain,(v84(constB115, bitIndex0) | (~v84(constB114, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.69 tff(7655,plain,
% 135.04/85.69 (v84(constB115, bitIndex0)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7654, 7629])).
% 135.04/85.69 tff(7656,assumption,(v119(constB115)), introduced(assumption)).
% 135.04/85.69 tff(7657,assumption,(v84(constB115, bitIndex0)), introduced(assumption)).
% 135.04/85.69 tff(7658,plain,
% 135.04/85.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB115)) | (~v84(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB115)) | (~v84(constB115, bitIndex0)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7659,plain,
% 135.04/85.69 (((~v84(constB115, bitIndex0)) | (~v119(constB115))) <=> ((~v119(constB115)) | (~v84(constB115, bitIndex0)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7660,plain,
% 135.04/85.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v119(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB115)) | (~v84(constB115, bitIndex0))))),
% 135.04/85.69 inference(monotonicity,[status(thm)],[7659])).
% 135.04/85.69 tff(7661,plain,
% 135.04/85.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v119(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB115)) | (~v84(constB115, bitIndex0)))),
% 135.04/85.69 inference(transitivity,[status(thm)],[7660, 7658])).
% 135.04/85.69 tff(7662,plain,
% 135.04/85.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v119(constB115)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7663,plain,
% 135.04/85.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB115)) | (~v84(constB115, bitIndex0))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 135.04/85.69 tff(7664,plain,
% 135.04/85.69 ($false),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7663, 3173, 7657, 7656])).
% 135.04/85.69 tff(7665,plain,((~v119(constB115)) | (~v84(constB115, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.69 tff(7666,plain,
% 135.04/85.69 (~v119(constB115)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7665, 7655])).
% 135.04/85.69 tff(7667,assumption,(~v84(constB115, bitIndex1)), introduced(assumption)).
% 135.04/85.69 tff(7668,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB114, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB114, bitIndex1)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7669,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB114, bitIndex1)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7670,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB114, bitIndex1))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 135.04/85.69 tff(7671,plain,
% 135.04/85.69 ($false),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7670, 777, 823, 7637, 7649, 7667, 7612])).
% 135.04/85.69 tff(7672,plain,(v84(constB115, bitIndex1) | (~v84(constB114, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.69 tff(7673,plain,
% 135.04/85.69 (v84(constB115, bitIndex1)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7672, 7568])).
% 135.04/85.69 tff(7674,assumption,(v118(constB115)), introduced(assumption)).
% 135.04/85.69 tff(7675,assumption,(v84(constB115, bitIndex1)), introduced(assumption)).
% 135.04/85.69 tff(7676,plain,
% 135.04/85.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v118(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v118(constB115)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7677,plain,
% 135.04/85.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v118(constB115)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7678,plain,
% 135.04/85.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v118(constB115))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7677, 7676])).
% 135.04/85.69 tff(7679,plain,
% 135.04/85.69 ($false),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7678, 2842, 7675, 7674])).
% 135.04/85.69 tff(7680,plain,((~v118(constB115)) | (~v84(constB115, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.69 tff(7681,plain,
% 135.04/85.69 (~v118(constB115)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7680, 7673])).
% 135.04/85.69 tff(7682,assumption,(~v84(constB115, bitIndex2)), introduced(assumption)).
% 135.04/85.69 tff(7683,plain,
% 135.04/85.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB114, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB114, bitIndex2)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7684,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB114, bitIndex2)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7685,plain,
% 135.04/85.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB114, bitIndex2))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 135.04/85.69 tff(7686,plain,
% 135.04/85.69 ($false),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7685, 777, 767, 7637, 7649, 7682, 7603])).
% 135.04/85.69 tff(7687,plain,(v84(constB115, bitIndex2) | (~v84(constB114, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.69 tff(7688,plain,
% 135.04/85.69 (v84(constB115, bitIndex2)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7687, 7584])).
% 135.04/85.69 tff(7689,assumption,(v116(constB115)), introduced(assumption)).
% 135.04/85.69 tff(7690,assumption,(v84(constB115, bitIndex2)), introduced(assumption)).
% 135.04/85.69 tff(7691,plain,
% 135.04/85.69 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB115, bitIndex2)) | (~v116(constB115)))),
% 135.04/85.69 inference(rewrite,[status(thm)],[])).
% 135.04/85.69 tff(7692,plain,
% 135.04/85.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v116(constB115)))),
% 135.04/85.69 inference(quant_inst,[status(thm)],[])).
% 135.04/85.69 tff(7693,plain,
% 135.04/85.69 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB115, bitIndex2)) | (~v116(constB115))),
% 135.04/85.69 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 135.04/85.69 tff(7694,plain,
% 135.04/85.69 ($false),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7693, 1130, 7690, 7689])).
% 135.04/85.69 tff(7695,plain,((~v116(constB115)) | (~v84(constB115, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.69 tff(7696,plain,
% 135.04/85.69 (~v116(constB115)),
% 135.04/85.69 inference(unit_resolution,[status(thm)],[7695, 7688])).
% 135.04/85.70 tff(7697,plain,
% 135.04/85.70 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB115)) | (~v84(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB115)) | (~v84(constB115, bitIndex1)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7698,plain,
% 135.04/85.70 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB115)) | (~v84(constB115, bitIndex1)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7699,plain,
% 135.04/85.70 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB115)) | (~v84(constB115, bitIndex1))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7698, 7697])).
% 135.04/85.70 tff(7700,plain,
% 135.04/85.70 (~v113(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7699, 1465, 7673])).
% 135.04/85.70 tff(7701,assumption,(v109(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7702,plain,
% 135.04/85.70 (^[VarCurr: $i] : refl(((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))))),
% 135.04/85.70 inference(bind,[status(th)],[])).
% 135.04/85.70 tff(7703,plain,
% 135.04/85.70 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 135.04/85.70 inference(quant_intro,[status(thm)],[7702])).
% 135.04/85.70 tff(7704,plain,
% 135.04/85.70 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr))) <=> ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7705,axiom,(![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10_1_1_4')).
% 135.04/85.70 tff(7706,plain,
% 135.04/85.70 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7705, 7704])).
% 135.04/85.70 tff(7707,plain,(
% 135.04/85.70 ![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 135.04/85.70 inference(skolemize,[status(sab)],[7706])).
% 135.04/85.70 tff(7708,plain,
% 135.04/85.70 (![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7707, 7703])).
% 135.04/85.70 tff(7709,plain,
% 135.04/85.70 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v172(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB115, bitIndex0)) | (~v172(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7710,plain,
% 135.04/85.70 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v172(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7711,plain,
% 135.04/85.70 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB115, bitIndex0)) | (~v172(constB115))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7710, 7709])).
% 135.04/85.70 tff(7712,plain,
% 135.04/85.70 (~v172(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7711, 7708, 7657])).
% 135.04/85.70 tff(7713,assumption,(~v110(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7714,assumption,(~v172(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7715,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB115)) | v110(constB115) | v172(constB115))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB115)) | v110(constB115) | v172(constB115))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7716,plain,
% 135.04/85.70 ((v110(constB115) | (~v109(constB115)) | v172(constB115)) <=> ((~v109(constB115)) | v110(constB115) | v172(constB115))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7717,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB115) | (~v109(constB115)) | v172(constB115))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB115)) | v110(constB115) | v172(constB115)))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7716])).
% 135.04/85.70 tff(7718,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB115) | (~v109(constB115)) | v172(constB115))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB115)) | v110(constB115) | v172(constB115))),
% 135.04/85.70 inference(transitivity,[status(thm)],[7717, 7715])).
% 135.04/85.70 tff(7719,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB115) | (~v109(constB115)) | v172(constB115))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7720,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB115)) | v110(constB115) | v172(constB115)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 135.04/85.70 tff(7721,plain,
% 135.04/85.70 ($false),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7720, 2871, 7714, 7713, 7701])).
% 135.04/85.70 tff(7722,plain,((~v109(constB115)) | v172(constB115) | v110(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.70 tff(7723,plain,
% 135.04/85.70 (v110(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7722, 7712, 7701])).
% 135.04/85.70 tff(7724,assumption,(~v116(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7725,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB115) | v116(constB115) | (~v110(constB115)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB115) | v116(constB115) | (~v110(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7726,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB115) | v116(constB115) | (~v110(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7727,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB115) | v116(constB115) | (~v110(constB115))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7726, 7725])).
% 135.04/85.70 tff(7728,plain,
% 135.04/85.70 (v111(constB115) | (~v110(constB115))),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7727, 2932, 7724])).
% 135.04/85.70 tff(7729,plain,
% 135.04/85.70 (v111(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7728, 7723])).
% 135.04/85.70 tff(7730,plain,
% 135.04/85.70 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB115)) | (~v84(constB115, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB115)) | (~v84(constB115, bitIndex1)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7731,plain,
% 135.04/85.70 (((~v84(constB115, bitIndex1)) | (~v145(constB115))) <=> ((~v145(constB115)) | (~v84(constB115, bitIndex1)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7732,plain,
% 135.04/85.70 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB115)) | (~v84(constB115, bitIndex1))))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7731])).
% 135.04/85.70 tff(7733,plain,
% 135.04/85.70 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB115)) | (~v84(constB115, bitIndex1)))),
% 135.04/85.70 inference(transitivity,[status(thm)],[7732, 7730])).
% 135.04/85.70 tff(7734,plain,
% 135.04/85.70 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v145(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7735,plain,
% 135.04/85.70 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB115)) | (~v84(constB115, bitIndex1))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 135.04/85.70 tff(7736,plain,
% 135.04/85.70 (~v145(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7735, 816, 7675])).
% 135.04/85.70 tff(7737,assumption,(~v113(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7738,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB115) | (~v112(constB115)) | v113(constB115))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB115) | (~v112(constB115)) | v113(constB115))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7739,plain,
% 135.04/85.70 ((v113(constB115) | (~v112(constB115)) | v145(constB115)) <=> (v145(constB115) | (~v112(constB115)) | v113(constB115))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7740,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB115) | (~v112(constB115)) | v145(constB115))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB115) | (~v112(constB115)) | v113(constB115)))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7739])).
% 135.04/85.70 tff(7741,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB115) | (~v112(constB115)) | v145(constB115))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB115) | (~v112(constB115)) | v113(constB115))),
% 135.04/85.70 inference(transitivity,[status(thm)],[7740, 7738])).
% 135.04/85.70 tff(7742,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB115) | (~v112(constB115)) | v145(constB115))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7743,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB115) | (~v112(constB115)) | v113(constB115)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 135.04/85.70 tff(7744,plain,
% 135.04/85.70 (v145(constB115) | (~v112(constB115))),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7743, 2894, 7737])).
% 135.04/85.70 tff(7745,plain,
% 135.04/85.70 (~v112(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7744, 7736])).
% 135.04/85.70 tff(7746,plain,
% 135.04/85.70 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB115, bitIndex0)) | (~v115(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7747,plain,
% 135.04/85.70 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v115(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7748,plain,
% 135.04/85.70 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB115, bitIndex0)) | (~v115(constB115))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 135.04/85.70 tff(7749,plain,
% 135.04/85.70 (~v115(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7748, 3011, 7657])).
% 135.04/85.70 tff(7750,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB115) | v115(constB115) | (~v111(constB115)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB115) | v115(constB115) | (~v111(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7751,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB115) | v115(constB115) | (~v111(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7752,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB115) | v115(constB115) | (~v111(constB115))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 135.04/85.70 tff(7753,plain,
% 135.04/85.70 ($false),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7752, 2911, 7749, 7745, 7729])).
% 135.04/85.70 tff(7754,plain,(v113(constB115) | v116(constB115) | (~v109(constB115)) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.70 tff(7755,plain,
% 135.04/85.70 (~v109(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7754, 7655, 7673, 7700, 7696])).
% 135.04/85.70 tff(7756,assumption,(~v109(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7757,assumption,(v108(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7758,assumption,(~v118(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7759,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB115) | v118(constB115) | (~v108(constB115)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB115) | v118(constB115) | (~v108(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7760,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB115) | v118(constB115) | (~v108(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7761,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB115) | v118(constB115) | (~v108(constB115))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 135.04/85.70 tff(7762,plain,
% 135.04/85.70 ($false),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7761, 2856, 7758, 7757, 7756])).
% 135.04/85.70 tff(7763,plain,((~v108(constB115)) | v118(constB115) | v109(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.70 tff(7764,plain,
% 135.04/85.70 (~v108(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7763, 7755, 7681])).
% 135.04/85.70 tff(7765,assumption,(~v108(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7766,assumption,(~v119(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7767,assumption,(v107(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7768,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB115) | v119(constB115) | (~v107(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB115) | v119(constB115) | (~v107(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7769,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB115) | v119(constB115) | (~v107(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7770,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB115) | v119(constB115) | (~v107(constB115))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7769, 7768])).
% 135.04/85.70 tff(7771,plain,
% 135.04/85.70 ($false),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7770, 3195, 7767, 7766, 7765])).
% 135.04/85.70 tff(7772,plain,((~v107(constB115)) | v119(constB115) | v108(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.70 tff(7773,plain,
% 135.04/85.70 (~v107(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7772, 7764, 7666])).
% 135.04/85.70 tff(7774,assumption,(~v94(constB116)), introduced(assumption)).
% 135.04/85.70 tff(7775,plain,
% 135.04/85.70 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7776,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_115_1')).
% 135.04/85.70 tff(7777,plain,
% 135.04/85.70 (nextState(constB115, constB116)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 135.04/85.70 tff(7778,plain,
% 135.04/85.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB116, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB116, bitIndex0))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7779,plain,
% 135.04/85.70 (((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB116, bitIndex0) | (~v84(constB115, bitIndex0))) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB116, bitIndex0))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7780,plain,
% 135.04/85.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB116, bitIndex0) | (~v84(constB115, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB116, bitIndex0)))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7779])).
% 135.04/85.70 tff(7781,plain,
% 135.04/85.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB116, bitIndex0) | (~v84(constB115, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB116, bitIndex0))),
% 135.04/85.70 inference(transitivity,[status(thm)],[7780, 7778])).
% 135.04/85.70 tff(7782,plain,
% 135.04/85.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB116, bitIndex0) | (~v84(constB115, bitIndex0)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7783,plain,
% 135.04/85.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB116, bitIndex0)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7782, 7781])).
% 135.04/85.70 tff(7784,plain,
% 135.04/85.70 ($false),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7783, 777, 795, 7777, 7774, 6559, 7657])).
% 135.04/85.70 tff(7785,plain,(v84(constB116, bitIndex0) | v94(constB116) | (~v84(constB115, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.70 tff(7786,plain,
% 135.04/85.70 (v94(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7785, 7655, 6559])).
% 135.04/85.70 tff(7787,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v94(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v94(constB116)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7788,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v94(constB116)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7789,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v94(constB116))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7788, 7787])).
% 135.04/85.70 tff(7790,plain,
% 135.04/85.70 (v104(constB116) | (~v94(constB116))),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7789, 3113, 7777])).
% 135.04/85.70 tff(7791,plain,
% 135.04/85.70 (v104(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7790, 7786])).
% 135.04/85.70 tff(7792,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB115, constB116)) | (~v104(constB116)) | v102(constB115))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB115, constB116)) | (~v104(constB116)) | v102(constB115))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7793,plain,
% 135.04/85.70 (((~nextState(constB115, constB116)) | v102(constB115) | (~v104(constB116))) <=> ((~nextState(constB115, constB116)) | (~v104(constB116)) | v102(constB115))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7794,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB115, constB116)) | v102(constB115) | (~v104(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB115, constB116)) | (~v104(constB116)) | v102(constB115)))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7793])).
% 135.04/85.70 tff(7795,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB115, constB116)) | v102(constB115) | (~v104(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB115, constB116)) | (~v104(constB116)) | v102(constB115))),
% 135.04/85.70 inference(transitivity,[status(thm)],[7794, 7792])).
% 135.04/85.70 tff(7796,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB115, constB116)) | v102(constB115) | (~v104(constB116)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7797,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB115, constB116)) | (~v104(constB116)) | v102(constB115)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7796, 7795])).
% 135.04/85.70 tff(7798,plain,
% 135.04/85.70 ((~v104(constB116)) | v102(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7797, 3128, 7777])).
% 135.04/85.70 tff(7799,plain,
% 135.04/85.70 (v102(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7798, 7791])).
% 135.04/85.70 tff(7800,assumption,(v26(constB115)), introduced(assumption)).
% 135.04/85.70 tff(7801,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7802,plain,
% 135.04/85.70 ($false),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7801, 1172, 7800])).
% 135.04/85.70 tff(7803,plain,(~v26(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.70 tff(7804,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB115)) | v26(constB115) | v106(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB115)) | v26(constB115) | v106(constB115))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7805,plain,
% 135.04/85.70 ((v26(constB115) | v106(constB115) | (~v102(constB115))) <=> ((~v102(constB115)) | v26(constB115) | v106(constB115))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7806,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB115) | v106(constB115) | (~v102(constB115)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB115)) | v26(constB115) | v106(constB115)))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7805])).
% 135.04/85.70 tff(7807,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB115) | v106(constB115) | (~v102(constB115)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB115)) | v26(constB115) | v106(constB115))),
% 135.04/85.70 inference(transitivity,[status(thm)],[7806, 7804])).
% 135.04/85.70 tff(7808,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB115) | v106(constB115) | (~v102(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7809,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB115)) | v26(constB115) | v106(constB115)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7808, 7807])).
% 135.04/85.70 tff(7810,plain,
% 135.04/85.70 ((~v102(constB115)) | v106(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7809, 3146, 7803])).
% 135.04/85.70 tff(7811,plain,
% 135.04/85.70 (v106(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7810, 7799])).
% 135.04/85.70 tff(7812,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB115) | (~v106(constB115)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB115) | (~v106(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7813,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB115) | (~v106(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7814,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB115) | (~v106(constB115))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7813, 7812])).
% 135.04/85.70 tff(7815,plain,
% 135.04/85.70 ($false),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7814, 3161, 7811, 7773])).
% 135.04/85.70 tff(7816,plain,(v94(constB108) | v84(constB116, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.70 tff(7817,plain,
% 135.04/85.70 (v94(constB108)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7816, 6559])).
% 135.04/85.70 tff(7818,assumption,(~v84(constB116, bitIndex2)), introduced(assumption)).
% 135.04/85.70 tff(7819,plain,
% 135.04/85.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB116, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB116, bitIndex2))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7820,plain,
% 135.04/85.70 (((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB115, bitIndex2))) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB116, bitIndex2))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7821,plain,
% 135.04/85.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB115, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB116, bitIndex2)))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7820])).
% 135.04/85.70 tff(7822,plain,
% 135.04/85.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB115, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB116, bitIndex2))),
% 135.04/85.70 inference(transitivity,[status(thm)],[7821, 7819])).
% 135.04/85.70 tff(7823,plain,
% 135.04/85.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB115, bitIndex2)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7824,plain,
% 135.04/85.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB116, bitIndex2)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 135.04/85.70 tff(7825,plain,
% 135.04/85.70 (v94(constB116) | (~v84(constB115, bitIndex2))),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7824, 777, 767, 7777, 7818])).
% 135.04/85.70 tff(7826,plain,
% 135.04/85.70 (~v84(constB115, bitIndex2)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7825, 7774])).
% 135.04/85.70 tff(7827,plain,
% 135.04/85.70 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> (v84(VarCurr, bitIndex2) | (~v119(VarCurr))))),
% 135.04/85.70 inference(bind,[status(th)],[])).
% 135.04/85.70 tff(7828,plain,
% 135.04/85.70 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 135.04/85.70 inference(quant_intro,[status(thm)],[7827])).
% 135.04/85.70 tff(7829,plain,
% 135.04/85.70 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7830,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_2')).
% 135.04/85.70 tff(7831,plain,
% 135.04/85.70 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7830, 7829])).
% 135.04/85.70 tff(7832,plain,(
% 135.04/85.70 ![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 135.04/85.70 inference(skolemize,[status(sab)],[7831])).
% 135.04/85.70 tff(7833,plain,
% 135.04/85.70 (![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7832, 7828])).
% 135.04/85.70 tff(7834,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB115)) | v84(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB115)) | v84(constB115, bitIndex2))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7835,plain,
% 135.04/85.70 ((v84(constB115, bitIndex2) | (~v119(constB115))) <=> ((~v119(constB115)) | v84(constB115, bitIndex2))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7836,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB115, bitIndex2) | (~v119(constB115)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB115)) | v84(constB115, bitIndex2)))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7835])).
% 135.04/85.70 tff(7837,plain,
% 135.04/85.70 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB115, bitIndex2) | (~v119(constB115)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB115)) | v84(constB115, bitIndex2))),
% 135.04/85.70 inference(transitivity,[status(thm)],[7836, 7834])).
% 135.04/85.70 tff(7838,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB115, bitIndex2) | (~v119(constB115)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7839,plain,
% 135.04/85.70 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB115)) | v84(constB115, bitIndex2)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 135.04/85.70 tff(7840,plain,
% 135.04/85.70 (~v119(constB115)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7839, 7833, 7826])).
% 135.04/85.70 tff(7841,plain,
% 135.04/85.70 (v94(constB116) | (~v84(constB115, bitIndex0))),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7783, 777, 795, 7777, 6559])).
% 135.04/85.70 tff(7842,plain,
% 135.04/85.70 (~v84(constB115, bitIndex0)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7841, 7774])).
% 135.04/85.70 tff(7843,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7844,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7845,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB115) | (~nextState(constB115, constB116)) | (~v98(constB116))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7844, 7843])).
% 135.04/85.70 tff(7846,plain,
% 135.04/85.70 (~v98(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7845, 541, 7777, 7634])).
% 135.04/85.70 tff(7847,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7848,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB115, constB116)) | v96(constB116) | v98(constB116))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7849,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB115, constB116)) | v96(constB116) | v98(constB116)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 135.04/85.70 tff(7850,plain,
% 135.04/85.70 (v96(constB116) | v98(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7849, 555, 7777])).
% 135.04/85.70 tff(7851,plain,
% 135.04/85.70 (v96(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7850, 7846])).
% 135.04/85.70 tff(7852,plain,
% 135.04/85.70 (v1(constB116) <=> v1(constB116)),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7853,axiom,(v1(constB116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_116_1')).
% 135.04/85.70 tff(7854,plain,
% 135.04/85.70 (v1(constB116)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7853, 7852])).
% 135.04/85.70 tff(7855,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7856,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116)))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7857,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB115, constB116)) | v95(constB116) | (~v96(constB116)) | (~v1(constB116))),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7856, 7855])).
% 135.04/85.70 tff(7858,plain,
% 135.04/85.70 (v95(constB116) | (~v96(constB116))),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7857, 573, 7777, 7854])).
% 135.04/85.70 tff(7859,plain,
% 135.04/85.70 (v95(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7858, 7851])).
% 135.04/85.70 tff(7860,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7861,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116))),
% 135.04/85.70 inference(quant_inst,[status(thm)],[])).
% 135.04/85.70 tff(7862,plain,
% 135.04/85.70 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB115, constB116)) | (~v95(constB116)) | (~v104(constB116)) | v94(constB116)),
% 135.04/85.70 inference(modus_ponens,[status(thm)],[7861, 7860])).
% 135.04/85.70 tff(7863,plain,
% 135.04/85.70 ((~v95(constB116)) | (~v104(constB116)) | v94(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7862, 588, 7777])).
% 135.04/85.70 tff(7864,plain,
% 135.04/85.70 ((~v104(constB116)) | v94(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7863, 7859])).
% 135.04/85.70 tff(7865,plain,
% 135.04/85.70 (~v104(constB116)),
% 135.04/85.70 inference(unit_resolution,[status(thm)],[7864, 7774])).
% 135.04/85.70 tff(7866,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7867,plain,
% 135.04/85.70 (((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116)) <=> ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 135.04/85.70 inference(rewrite,[status(thm)],[])).
% 135.04/85.70 tff(7868,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))))),
% 135.04/85.70 inference(monotonicity,[status(thm)],[7867])).
% 135.04/85.70 tff(7869,plain,
% 135.04/85.70 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115)))),
% 135.04/85.71 inference(transitivity,[status(thm)],[7868, 7866])).
% 135.04/85.71 tff(7870,plain,
% 135.04/85.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB115, constB116)) | (~v102(constB115)) | v104(constB116))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7871,plain,
% 135.04/85.71 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB115, constB116)) | v104(constB116) | (~v102(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7870, 7869])).
% 135.04/85.71 tff(7872,plain,
% 135.04/85.71 (v104(constB116) | (~v102(constB115))),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7871, 604, 7777])).
% 135.04/85.71 tff(7873,plain,
% 135.04/85.71 (~v102(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7872, 7865])).
% 135.04/85.71 tff(7874,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB115) | (~v106(constB115)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB115) | (~v106(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7875,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB115) | (~v106(constB115)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7876,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB115) | (~v106(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 135.04/85.71 tff(7877,plain,
% 135.04/85.71 (~v106(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7876, 619, 7873])).
% 135.04/85.71 tff(7878,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7879,plain,
% 135.04/85.71 ((v26(constB115) | (~v107(constB115)) | v106(constB115)) <=> (v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7880,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | v106(constB115) | (~v107(constB115))))),
% 135.04/85.71 inference(monotonicity,[status(thm)],[7879])).
% 135.04/85.71 tff(7881,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115)))),
% 135.04/85.71 inference(transitivity,[status(thm)],[7880, 7878])).
% 135.04/85.71 tff(7882,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB115) | (~v107(constB115)) | v106(constB115))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7883,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB115) | v106(constB115) | (~v107(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 135.04/85.71 tff(7884,plain,
% 135.04/85.71 (v106(constB115) | (~v107(constB115))),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7883, 644, 7803])).
% 135.04/85.71 tff(7885,plain,
% 135.04/85.71 (~v107(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7884, 7877])).
% 135.04/85.71 tff(7886,assumption,(~v107(constB115)), introduced(assumption)).
% 135.04/85.71 tff(7887,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB115) | (~v108(constB115)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB115) | (~v108(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7888,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB115) | (~v108(constB115)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7889,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB115) | (~v108(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7888, 7887])).
% 135.04/85.71 tff(7890,plain,
% 135.04/85.71 (~v108(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7889, 658, 7886])).
% 135.04/85.71 tff(7891,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB115) | (~v109(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB115) | (~v109(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7892,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB115) | (~v109(constB115)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7893,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB115) | (~v109(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7892, 7891])).
% 135.04/85.71 tff(7894,plain,
% 135.04/85.71 (~v109(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7893, 669, 7890])).
% 135.04/85.71 tff(7895,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB115) | (~v110(constB115)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB115) | (~v110(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7896,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB115) | (~v110(constB115)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7897,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB115) | (~v110(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7896, 7895])).
% 135.04/85.71 tff(7898,plain,
% 135.04/85.71 (~v110(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7897, 680, 7894])).
% 135.04/85.71 tff(7899,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB115) | (~v111(constB115)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB115) | (~v111(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7900,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB115) | (~v111(constB115)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7901,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB115) | (~v111(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7900, 7899])).
% 135.04/85.71 tff(7902,plain,
% 135.04/85.71 (~v111(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7901, 691, 7898])).
% 135.04/85.71 tff(7903,plain,
% 135.04/85.71 (~v106(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7814, 3161, 7886])).
% 135.04/85.71 tff(7904,plain,
% 135.04/85.71 (~v102(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7810, 7903])).
% 135.04/85.71 tff(7905,plain,
% 135.04/85.71 (~v104(constB116)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7798, 7904])).
% 135.04/85.71 tff(7906,plain,
% 135.04/85.71 (~v94(constB116)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7790, 7905])).
% 135.04/85.71 tff(7907,plain,
% 135.04/85.71 (~v84(constB115, bitIndex2)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7825, 7906])).
% 135.04/85.71 tff(7908,assumption,(~v84(constB116, bitIndex1)), introduced(assumption)).
% 135.04/85.71 tff(7909,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB116, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB116, bitIndex1))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7910,plain,
% 135.04/85.71 (((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB115, bitIndex1))) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB116, bitIndex1))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7911,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB115, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB116, bitIndex1)))),
% 135.04/85.71 inference(monotonicity,[status(thm)],[7910])).
% 135.04/85.71 tff(7912,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB115, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB116, bitIndex1))),
% 135.04/85.71 inference(transitivity,[status(thm)],[7911, 7909])).
% 135.04/85.71 tff(7913,plain,
% 135.04/85.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB115, bitIndex1)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7914,plain,
% 135.04/85.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB116, bitIndex1)),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7913, 7912])).
% 135.04/85.71 tff(7915,plain,
% 135.04/85.71 (v94(constB116) | (~v84(constB115, bitIndex1))),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7914, 777, 823, 7777, 7908])).
% 135.04/85.71 tff(7916,plain,
% 135.04/85.71 (~v84(constB115, bitIndex1)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7915, 7906])).
% 135.04/85.71 tff(7917,plain,
% 135.04/85.71 (~v84(constB115, bitIndex0)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7841, 7906])).
% 135.04/85.71 tff(7918,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB115) | v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB115) | v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7919,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB115) | v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7920,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB115) | v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2)),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7919, 7918])).
% 135.04/85.71 tff(7921,plain,
% 135.04/85.71 (v113(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7920, 983, 7917, 7916, 7907])).
% 135.04/85.71 tff(7922,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB115) | (~v113(constB115)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB115) | (~v113(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7923,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB115) | (~v113(constB115)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7924,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB115) | (~v113(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7923, 7922])).
% 135.04/85.71 tff(7925,plain,
% 135.04/85.71 (v112(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7924, 969, 7921])).
% 135.04/85.71 tff(7926,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB115) | (~v112(constB115)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB115) | (~v112(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7927,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB115) | (~v112(constB115)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7928,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB115) | (~v112(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 135.04/85.71 tff(7929,plain,
% 135.04/85.71 ($false),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7928, 702, 7925, 7902])).
% 135.04/85.71 tff(7930,plain,(v107(constB115) | v84(constB116, bitIndex2) | v84(constB116, bitIndex1) | v84(constB116, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.71 tff(7931,plain,
% 135.04/85.71 (v84(constB116, bitIndex1)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7930, 7885, 6559, 7818])).
% 135.04/85.71 tff(7932,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB116, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB116, bitIndex1)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7933,plain,
% 135.04/85.71 (((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB116, bitIndex1)) | v84(constB115, bitIndex1)) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB116, bitIndex1)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7934,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB116, bitIndex1)) | v84(constB115, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB116, bitIndex1))))),
% 135.04/85.71 inference(monotonicity,[status(thm)],[7933])).
% 135.04/85.71 tff(7935,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB116, bitIndex1)) | v84(constB115, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB116, bitIndex1)))),
% 135.04/85.71 inference(transitivity,[status(thm)],[7934, 7932])).
% 135.04/85.71 tff(7936,plain,
% 135.04/85.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | (~v84(constB116, bitIndex1)) | v84(constB115, bitIndex1))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7937,plain,
% 135.04/85.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex1)) | v84(constB115, bitIndex1) | (~v84(constB116, bitIndex1))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 135.04/85.71 tff(7938,plain,
% 135.04/85.71 (v84(constB115, bitIndex1)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7937, 805, 823, 7777, 7774, 7931])).
% 135.04/85.71 tff(7939,assumption,(~v115(constB115)), introduced(assumption)).
% 135.04/85.71 tff(7940,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB115, bitIndex0) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | v115(constB115))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB115, bitIndex0) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | v115(constB115))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7941,plain,
% 135.04/85.71 ((v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v115(constB115)) <=> (v84(constB115, bitIndex0) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | v115(constB115))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7942,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v115(constB115))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB115, bitIndex0) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | v115(constB115)))),
% 135.04/85.71 inference(monotonicity,[status(thm)],[7941])).
% 135.04/85.71 tff(7943,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v115(constB115))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB115, bitIndex0) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | v115(constB115))),
% 135.04/85.71 inference(transitivity,[status(thm)],[7942, 7940])).
% 135.04/85.71 tff(7944,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v115(constB115))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7945,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB115, bitIndex0) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | v115(constB115)),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7944, 7943])).
% 135.04/85.71 tff(7946,plain,
% 135.04/85.71 (v84(constB115, bitIndex0) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1))),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7945, 1095, 7939])).
% 135.04/85.71 tff(7947,plain,
% 135.04/85.71 (v84(constB115, bitIndex2)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7946, 7631, 7675])).
% 135.04/85.71 tff(7948,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB115) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB115) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7949,plain,
% 135.04/85.71 ((v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115)) <=> (v119(constB115) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7950,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB115) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2))))),
% 135.04/85.71 inference(monotonicity,[status(thm)],[7949])).
% 135.04/85.71 tff(7951,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB115) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)))),
% 135.04/85.71 inference(transitivity,[status(thm)],[7950, 7948])).
% 135.04/85.71 tff(7952,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2)) | v119(constB115))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7953,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB115) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7952, 7951])).
% 135.04/85.71 tff(7954,plain,
% 135.04/85.71 (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex2))),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7953, 1910, 7766])).
% 135.04/85.71 tff(7955,plain,
% 135.04/85.71 ($false),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7954, 7947, 7631, 7675])).
% 135.04/85.71 tff(7956,plain,(v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | v119(constB115) | v115(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.71 tff(7957,plain,
% 135.04/85.71 (v115(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7956, 7938, 7842, 7840])).
% 135.04/85.71 tff(7958,plain,
% 135.04/85.71 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB115) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB115) | (~v115(constB115)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7959,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB115) | (~v115(constB115)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7960,plain,
% 135.04/85.71 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB115) | (~v115(constB115))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7959, 7958])).
% 135.04/85.71 tff(7961,plain,
% 135.04/85.71 (v111(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7960, 945, 7957])).
% 135.04/85.71 tff(7962,plain,
% 135.04/85.71 (~v108(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7889, 658, 7885])).
% 135.04/85.71 tff(7963,plain,
% 135.04/85.71 (~v109(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7893, 669, 7962])).
% 135.04/85.71 tff(7964,plain,
% 135.04/85.71 (~v110(constB115)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7897, 680, 7963])).
% 135.04/85.71 tff(7965,plain,
% 135.04/85.71 ($false),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7901, 691, 7964, 7961])).
% 135.04/85.71 tff(7966,plain,(v94(constB116) | v84(constB116, bitIndex0) | v84(constB116, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.71 tff(7967,plain,
% 135.04/85.71 (v94(constB116)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7966, 7818, 6559])).
% 135.04/85.71 tff(7968,assumption,(v123(constB116, bitIndex0)), introduced(assumption)).
% 135.04/85.71 tff(7969,assumption,(v94(constB116)), introduced(assumption)).
% 135.04/85.71 tff(7970,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v84(constB116, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v84(constB116, bitIndex0))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7971,plain,
% 135.04/85.71 (((~less_3(bitIndex0)) | (~v94(constB116)) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0))) <=> ((~v94(constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v84(constB116, bitIndex0))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7972,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB116)) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v84(constB116, bitIndex0)))),
% 135.04/85.71 inference(monotonicity,[status(thm)],[7971])).
% 135.04/85.71 tff(7973,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB116)) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v84(constB116, bitIndex0))),
% 135.04/85.71 inference(transitivity,[status(thm)],[7972, 7970])).
% 135.04/85.71 tff(7974,plain,
% 135.04/85.71 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB116)) | v84(constB116, bitIndex0) | (~v123(constB116, bitIndex0)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7975,plain,
% 135.04/85.71 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v84(constB116, bitIndex0)),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7974, 7973])).
% 135.04/85.71 tff(7976,plain,
% 135.04/85.71 ($false),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7975, 1674, 795, 7969, 6559, 7968])).
% 135.04/85.71 tff(7977,plain,(v84(constB116, bitIndex0) | (~v94(constB116)) | (~v123(constB116, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.71 tff(7978,plain,
% 135.04/85.71 (~v123(constB116, bitIndex0)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7977, 7967, 6559])).
% 135.04/85.71 tff(7979,assumption,(v121(constB115, bitIndex0)), introduced(assumption)).
% 135.04/85.71 tff(7980,assumption,(~v123(constB116, bitIndex0)), introduced(assumption)).
% 135.04/85.71 tff(7981,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex0)) | v123(constB116, bitIndex0) | (~v121(constB115, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex0)) | v123(constB116, bitIndex0) | (~v121(constB115, bitIndex0)))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7982,plain,
% 135.04/85.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex0)) | v123(constB116, bitIndex0) | (~v121(constB115, bitIndex0)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7983,plain,
% 135.04/85.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex0)) | v123(constB116, bitIndex0) | (~v121(constB115, bitIndex0))),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 135.04/85.71 tff(7984,plain,
% 135.04/85.71 ($false),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7983, 1708, 795, 7777, 7980, 7979])).
% 135.04/85.71 tff(7985,plain,(v123(constB116, bitIndex0) | (~v121(constB115, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.71 tff(7986,plain,
% 135.04/85.71 (~v121(constB115, bitIndex0)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7985, 7978])).
% 135.04/85.71 tff(7987,assumption,(~v121(constB115, bitIndex0)), introduced(assumption)).
% 135.04/85.71 tff(7988,assumption,(v124(constB115, bitIndex0)), introduced(assumption)).
% 135.04/85.71 tff(7989,plain,
% 135.04/85.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7990,plain,
% 135.04/85.71 ((v26(constB115) | v121(constB115, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0))) <=> (v26(constB115) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(7991,plain,
% 135.04/85.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0)))),
% 135.04/85.71 inference(monotonicity,[status(thm)],[7990])).
% 135.04/85.71 tff(7992,plain,
% 135.04/85.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0))),
% 135.04/85.71 inference(transitivity,[status(thm)],[7991, 7989])).
% 135.04/85.71 tff(7993,plain,
% 135.04/85.71 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)))),
% 135.04/85.71 inference(quant_inst,[status(thm)],[])).
% 135.04/85.71 tff(7994,plain,
% 135.04/85.71 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | v121(constB115, bitIndex0)),
% 135.04/85.71 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 135.04/85.71 tff(7995,plain,
% 135.04/85.71 ($false),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7994, 1728, 795, 7803, 7988, 7987])).
% 135.04/85.71 tff(7996,plain,(v121(constB115, bitIndex0) | (~v124(constB115, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.71 tff(7997,plain,
% 135.04/85.71 (~v124(constB115, bitIndex0)),
% 135.04/85.71 inference(unit_resolution,[status(thm)],[7996, 7986])).
% 135.04/85.71 tff(7998,assumption,(v123(constB116, bitIndex2)), introduced(assumption)).
% 135.04/85.71 tff(7999,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v84(constB116, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v84(constB116, bitIndex2))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(8000,plain,
% 135.04/85.71 (((~less_3(bitIndex2)) | (~v94(constB116)) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2))) <=> ((~v94(constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v84(constB116, bitIndex2))),
% 135.04/85.71 inference(rewrite,[status(thm)],[])).
% 135.04/85.71 tff(8001,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB116)) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v84(constB116, bitIndex2)))),
% 135.04/85.71 inference(monotonicity,[status(thm)],[8000])).
% 135.04/85.71 tff(8002,plain,
% 135.04/85.71 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB116)) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v84(constB116, bitIndex2))),
% 135.04/85.71 inference(transitivity,[status(thm)],[8001, 7999])).
% 135.04/85.71 tff(8003,plain,
% 135.04/85.72 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB116)) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8004,plain,
% 135.04/85.72 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v84(constB116, bitIndex2)),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8003, 8002])).
% 135.04/85.72 tff(8005,plain,
% 135.04/85.72 ($false),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8004, 1674, 767, 7969, 7818, 7998])).
% 135.04/85.72 tff(8006,plain,(v84(constB116, bitIndex2) | (~v94(constB116)) | (~v123(constB116, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.72 tff(8007,plain,
% 135.04/85.72 (~v123(constB116, bitIndex2)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8006, 7818, 7967])).
% 135.04/85.72 tff(8008,assumption,(~v123(constB116, bitIndex2)), introduced(assumption)).
% 135.04/85.72 tff(8009,assumption,(v121(constB115, bitIndex2)), introduced(assumption)).
% 135.04/85.72 tff(8010,plain,
% 135.04/85.72 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex2)) | v123(constB116, bitIndex2) | (~v121(constB115, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex2)) | v123(constB116, bitIndex2) | (~v121(constB115, bitIndex2)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8011,plain,
% 135.04/85.72 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex2)) | v123(constB116, bitIndex2) | (~v121(constB115, bitIndex2)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8012,plain,
% 135.04/85.72 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex2)) | v123(constB116, bitIndex2) | (~v121(constB115, bitIndex2))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8011, 8010])).
% 135.04/85.72 tff(8013,plain,
% 135.04/85.72 ($false),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8012, 1708, 767, 7777, 8009, 8008])).
% 135.04/85.72 tff(8014,plain,(v123(constB116, bitIndex2) | (~v121(constB115, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.72 tff(8015,plain,
% 135.04/85.72 (~v121(constB115, bitIndex2)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8014, 8007])).
% 135.04/85.72 tff(8016,assumption,(~v121(constB115, bitIndex2)), introduced(assumption)).
% 135.04/85.72 tff(8017,assumption,(v124(constB115, bitIndex2)), introduced(assumption)).
% 135.04/85.72 tff(8018,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex2)) | v121(constB115, bitIndex2) | (~v124(constB115, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex2)) | v121(constB115, bitIndex2) | (~v124(constB115, bitIndex2)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8019,plain,
% 135.04/85.72 ((v26(constB115) | v121(constB115, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2))) <=> (v26(constB115) | (~less_3(bitIndex2)) | v121(constB115, bitIndex2) | (~v124(constB115, bitIndex2)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8020,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex2)) | v121(constB115, bitIndex2) | (~v124(constB115, bitIndex2))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8019])).
% 135.04/85.72 tff(8021,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex2)) | v121(constB115, bitIndex2) | (~v124(constB115, bitIndex2)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8020, 8018])).
% 135.04/85.72 tff(8022,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8023,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex2)) | v121(constB115, bitIndex2) | (~v124(constB115, bitIndex2))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 135.04/85.72 tff(8024,plain,
% 135.04/85.72 ($false),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8023, 1728, 767, 7803, 8017, 8016])).
% 135.04/85.72 tff(8025,plain,(v121(constB115, bitIndex2) | (~v124(constB115, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.72 tff(8026,plain,
% 135.04/85.72 (~v124(constB115, bitIndex2)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8025, 8015])).
% 135.04/85.72 tff(8027,assumption,(~v124(constB115, bitIndex2)), introduced(assumption)).
% 135.04/85.72 tff(8028,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v116(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v116(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8029,plain,
% 135.04/85.72 (((~v116(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v116(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8030,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v116(constB115))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8029])).
% 135.04/85.72 tff(8031,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v116(constB115)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8030, 8028])).
% 135.04/85.72 tff(8032,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8033,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v116(constB115))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8032, 8031])).
% 135.04/85.72 tff(8034,plain,
% 135.04/85.72 ($false),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8033, 1772, 1769, 767, 8027, 7689])).
% 135.04/85.72 tff(8035,plain,(v124(constB115, bitIndex2) | (~v116(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.72 tff(8036,plain,
% 135.04/85.72 (~v116(constB115)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8035, 8026])).
% 135.04/85.72 tff(8037,assumption,(v172(constB115)), introduced(assumption)).
% 135.04/85.72 tff(8038,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB115, bitIndex2) | (~v172(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB115, bitIndex2) | (~v172(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8039,plain,
% 135.04/85.72 (((~v172(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB115, bitIndex2) | (~v172(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8040,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB115, bitIndex2) | (~v172(constB115))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8039])).
% 135.04/85.72 tff(8041,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB115, bitIndex2) | (~v172(constB115)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8040, 8038])).
% 135.04/85.72 tff(8042,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b110(bitIndex2)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8043,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB115, bitIndex2) | (~v172(constB115))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8042, 8041])).
% 135.04/85.72 tff(8044,plain,
% 135.04/85.72 ($false),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8043, 2066, 1798, 767, 8037, 8027])).
% 135.04/85.72 tff(8045,plain,(v124(constB115, bitIndex2) | (~v172(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.72 tff(8046,plain,
% 135.04/85.72 (~v172(constB115)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8045, 8026])).
% 135.04/85.72 tff(8047,assumption,(~v124(constB115, bitIndex0)), introduced(assumption)).
% 135.04/85.72 tff(8048,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v118(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v118(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8049,plain,
% 135.04/85.72 (((~v118(constB115)) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v118(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8050,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB115)) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v118(constB115))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8049])).
% 135.04/85.72 tff(8051,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB115)) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v118(constB115)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8050, 8048])).
% 135.04/85.72 tff(8052,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB115)) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8053,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v118(constB115))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8052, 8051])).
% 135.04/85.72 tff(8054,plain,
% 135.04/85.72 ($false),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8053, 1148, 1145, 795, 7674, 8047])).
% 135.04/85.72 tff(8055,plain,(v124(constB115, bitIndex0) | (~v118(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.72 tff(8056,plain,
% 135.04/85.72 (~v118(constB115)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8055, 7997])).
% 135.04/85.72 tff(8057,assumption,(v115(constB115)), introduced(assumption)).
% 135.04/85.72 tff(8058,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v115(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v115(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8059,plain,
% 135.04/85.72 (((~v115(constB115)) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v115(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8060,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB115)) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v115(constB115))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8059])).
% 135.04/85.72 tff(8061,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB115)) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v115(constB115)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8060, 8058])).
% 135.04/85.72 tff(8062,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB115)) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8063,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b011(bitIndex0)) | (~v115(constB115))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 135.04/85.72 tff(8064,plain,
% 135.04/85.72 ($false),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8063, 1148, 1193, 795, 8057, 8047])).
% 135.04/85.72 tff(8065,plain,(v124(constB115, bitIndex0) | (~v115(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.72 tff(8066,plain,
% 135.04/85.72 (~v115(constB115)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8065, 7997])).
% 135.04/85.72 tff(8067,assumption,(v113(constB115)), introduced(assumption)).
% 135.04/85.72 tff(8068,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v113(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v113(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8069,plain,
% 135.04/85.72 (((~v113(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v113(constB115)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8070,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v113(constB115))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8069])).
% 135.04/85.72 tff(8071,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v113(constB115)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8070, 8068])).
% 135.04/85.72 tff(8072,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB115)) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8073,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~b100(bitIndex2)) | (~v113(constB115))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8072, 8071])).
% 135.04/85.72 tff(8074,plain,
% 135.04/85.72 ($false),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8073, 1772, 1838, 767, 8067, 8027])).
% 135.04/85.72 tff(8075,plain,(v124(constB115, bitIndex2) | (~v113(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.72 tff(8076,plain,
% 135.04/85.72 (~v113(constB115)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8075, 8026])).
% 135.04/85.72 tff(8077,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB115) | v124(constB115, bitIndex0) | (~b001(bitIndex0)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB115) | v124(constB115, bitIndex0) | (~b001(bitIndex0)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8078,plain,
% 135.04/85.72 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB115) | v124(constB115, bitIndex0) | (~b001(bitIndex0)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8079,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB115) | v124(constB115, bitIndex0) | (~b001(bitIndex0)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115)))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8078])).
% 135.04/85.72 tff(8080,plain,
% 135.04/85.72 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB115) | v124(constB115, bitIndex0) | (~b001(bitIndex0)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8079, 8077])).
% 135.04/85.72 tff(8081,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~b001(bitIndex0)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8082,plain,
% 135.04/85.72 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB115) | v124(constB115, bitIndex0) | (~b001(bitIndex0)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115)),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 135.04/85.72 tff(8083,plain,
% 135.04/85.72 (v145(constB115)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8082, 1213, 1210, 795, 8076, 8066, 8056, 8046, 8036, 7997])).
% 135.04/85.72 tff(8084,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB115)) | v84(constB115, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB115)) | v84(constB115, bitIndex0))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8085,plain,
% 135.04/85.72 ((v84(constB115, bitIndex0) | (~v145(constB115))) <=> ((~v145(constB115)) | v84(constB115, bitIndex0))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8086,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB115, bitIndex0) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB115)) | v84(constB115, bitIndex0)))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8085])).
% 135.04/85.72 tff(8087,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB115, bitIndex0) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB115)) | v84(constB115, bitIndex0))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8086, 8084])).
% 135.04/85.72 tff(8088,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB115, bitIndex0) | (~v145(constB115)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8089,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB115)) | v84(constB115, bitIndex0)),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8088, 8087])).
% 135.04/85.72 tff(8090,plain,
% 135.04/85.72 (v84(constB115, bitIndex0)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8089, 788, 8083])).
% 135.04/85.72 tff(8091,plain,
% 135.04/85.72 (~v119(constB115)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[7665, 8090])).
% 135.04/85.72 tff(8092,plain,
% 135.04/85.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB115)) | (~v84(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB115)) | (~v84(constB115, bitIndex2)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8093,plain,
% 135.04/85.72 (((~v84(constB115, bitIndex2)) | (~v145(constB115))) <=> ((~v145(constB115)) | (~v84(constB115, bitIndex2)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8094,plain,
% 135.04/85.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB115)) | (~v84(constB115, bitIndex2))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8093])).
% 135.04/85.72 tff(8095,plain,
% 135.04/85.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB115)) | (~v84(constB115, bitIndex2)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8094, 8092])).
% 135.04/85.72 tff(8096,plain,
% 135.04/85.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v145(constB115)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8097,plain,
% 135.04/85.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB115)) | (~v84(constB115, bitIndex2))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8096, 8095])).
% 135.04/85.72 tff(8098,plain,
% 135.04/85.72 (~v84(constB115, bitIndex2)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8097, 725, 8083])).
% 135.04/85.72 tff(8099,plain,
% 135.04/85.72 (~v84(constB114, bitIndex2)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[7687, 8098])).
% 135.04/85.72 tff(8100,plain,
% 135.04/85.72 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8101,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8102,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB113) | (~nextState(constB113, constB114)) | (~v98(constB114))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 135.04/85.72 tff(8103,plain,
% 135.04/85.72 (~v98(constB114)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8102, 541, 7467, 7290])).
% 135.04/85.72 tff(8104,plain,
% 135.04/85.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8105,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB113, constB114)) | v96(constB114) | v98(constB114))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8106,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB113, constB114)) | v96(constB114) | v98(constB114)),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8105, 8104])).
% 135.04/85.72 tff(8107,plain,
% 135.04/85.72 (v96(constB114) | v98(constB114)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8106, 555, 7467])).
% 135.04/85.72 tff(8108,plain,
% 135.04/85.72 (v96(constB114)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8107, 8103])).
% 135.04/85.72 tff(8109,plain,
% 135.04/85.72 (v1(constB114) <=> v1(constB114)),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8110,axiom,(v1(constB114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_114_1')).
% 135.04/85.72 tff(8111,plain,
% 135.04/85.72 (v1(constB114)),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8110, 8109])).
% 135.04/85.72 tff(8112,plain,
% 135.04/85.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8113,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8114,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB113, constB114)) | v95(constB114) | (~v96(constB114)) | (~v1(constB114))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 135.04/85.72 tff(8115,plain,
% 135.04/85.72 (v95(constB114) | (~v96(constB114))),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8114, 573, 7467, 8111])).
% 135.04/85.72 tff(8116,plain,
% 135.04/85.72 (v95(constB114)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8115, 8108])).
% 135.04/85.72 tff(8117,plain,
% 135.04/85.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8118,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8119,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB113, constB114)) | (~v95(constB114)) | (~v104(constB114)) | v94(constB114)),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8118, 8117])).
% 135.04/85.72 tff(8120,plain,
% 135.04/85.72 ((~v95(constB114)) | (~v104(constB114)) | v94(constB114)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8119, 588, 7467])).
% 135.04/85.72 tff(8121,plain,
% 135.04/85.72 ((~v104(constB114)) | v94(constB114)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8120, 8116])).
% 135.04/85.72 tff(8122,plain,
% 135.04/85.72 (~v104(constB114)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8121, 7464])).
% 135.04/85.72 tff(8123,plain,
% 135.04/85.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8124,plain,
% 135.04/85.72 (((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114)) <=> ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8125,plain,
% 135.04/85.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8124])).
% 135.04/85.72 tff(8126,plain,
% 135.04/85.72 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8125, 8123])).
% 135.04/85.72 tff(8127,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB113, constB114)) | (~v102(constB113)) | v104(constB114))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8128,plain,
% 135.04/85.72 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB113, constB114)) | v104(constB114) | (~v102(constB113))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8127, 8126])).
% 135.04/85.72 tff(8129,plain,
% 135.04/85.72 (v104(constB114) | (~v102(constB113))),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8128, 604, 7467])).
% 135.04/85.72 tff(8130,plain,
% 135.04/85.72 (~v102(constB113)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8129, 8122])).
% 135.04/85.72 tff(8131,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB113) | (~v106(constB113)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB113) | (~v106(constB113)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8132,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB113) | (~v106(constB113)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8133,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB113) | (~v106(constB113))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8132, 8131])).
% 135.04/85.72 tff(8134,plain,
% 135.04/85.72 (~v106(constB113)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8133, 619, 8130])).
% 135.04/85.72 tff(8135,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | v106(constB113) | (~v107(constB113)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | v106(constB113) | (~v107(constB113)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8136,plain,
% 135.04/85.72 ((v26(constB113) | (~v107(constB113)) | v106(constB113)) <=> (v26(constB113) | v106(constB113) | (~v107(constB113)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8137,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | v106(constB113) | (~v107(constB113))))),
% 135.04/85.72 inference(monotonicity,[status(thm)],[8136])).
% 135.04/85.72 tff(8138,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | v106(constB113) | (~v107(constB113)))),
% 135.04/85.72 inference(transitivity,[status(thm)],[8137, 8135])).
% 135.04/85.72 tff(8139,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB113) | (~v107(constB113)) | v106(constB113))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8140,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB113) | v106(constB113) | (~v107(constB113))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8139, 8138])).
% 135.04/85.72 tff(8141,plain,
% 135.04/85.72 (v106(constB113) | (~v107(constB113))),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8140, 644, 7491])).
% 135.04/85.72 tff(8142,plain,
% 135.04/85.72 (~v107(constB113)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8141, 8134])).
% 135.04/85.72 tff(8143,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB113) | (~v108(constB113)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB113) | (~v108(constB113)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8144,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB113) | (~v108(constB113)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8145,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB113) | (~v108(constB113))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8144, 8143])).
% 135.04/85.72 tff(8146,plain,
% 135.04/85.72 (~v108(constB113)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8145, 658, 8142])).
% 135.04/85.72 tff(8147,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB113) | (~v118(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB113) | (~v118(constB113)))),
% 135.04/85.72 inference(rewrite,[status(thm)],[])).
% 135.04/85.72 tff(8148,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB113) | (~v118(constB113)))),
% 135.04/85.72 inference(quant_inst,[status(thm)],[])).
% 135.04/85.72 tff(8149,plain,
% 135.04/85.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB113) | (~v118(constB113))),
% 135.04/85.72 inference(modus_ponens,[status(thm)],[8148, 8147])).
% 135.04/85.72 tff(8150,plain,
% 135.04/85.72 (~v118(constB113)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[8149, 1004, 8146])).
% 135.04/85.72 tff(8151,plain,
% 135.04/85.72 (~v84(constB113, bitIndex1)),
% 135.04/85.72 inference(unit_resolution,[status(thm)],[7475, 7464, 7463])).
% 135.04/85.72 tff(8152,plain,
% 135.04/85.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB113) | (~v109(constB113)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB113) | (~v109(constB113)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8153,plain,
% 135.04/85.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB113) | (~v109(constB113)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8154,plain,
% 135.04/85.73 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB113) | (~v109(constB113))),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8153, 8152])).
% 135.04/85.73 tff(8155,plain,
% 135.04/85.73 (~v109(constB113)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8154, 669, 8146])).
% 135.04/85.73 tff(8156,plain,
% 135.04/85.73 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB113) | (~v172(constB113)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB113) | (~v172(constB113)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8157,plain,
% 135.04/85.73 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB113) | (~v172(constB113)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8158,plain,
% 135.04/85.73 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB113) | (~v172(constB113))),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8157, 8156])).
% 135.04/85.73 tff(8159,plain,
% 135.04/85.73 (~v172(constB113)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8158, 1033, 8155])).
% 135.04/85.73 tff(8160,assumption,(~v172(constB113)), introduced(assumption)).
% 135.04/85.73 tff(8161,plain,
% 135.04/85.73 (~v84(constB112, bitIndex1)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[7313, 7286])).
% 135.04/85.73 tff(8162,plain,
% 135.04/85.73 (v94(constB112)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[7284, 8161])).
% 135.04/85.73 tff(8163,plain,
% 135.04/85.73 (~v123(constB112, bitIndex1)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[7434, 1674, 823, 8162, 8161])).
% 135.04/85.73 tff(8164,plain,
% 135.04/85.73 (~v121(constB111, bitIndex1)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[7438, 1708, 823, 7094, 8163])).
% 135.04/85.73 tff(8165,plain,
% 135.04/85.73 (~v124(constB111, bitIndex1)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[7445, 1728, 823, 7083, 8164])).
% 135.04/85.73 tff(8166,plain,
% 135.04/85.73 (~v84(constB112, bitIndex0)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[7414, 7405])).
% 135.04/85.73 tff(8167,plain,
% 135.04/85.73 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB112)) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8168,plain,
% 135.04/85.73 (((~less_3(bitIndex0)) | (~v94(constB112)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0))) <=> ((~v94(constB112)) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8169,plain,
% 135.04/85.73 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB112)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB112)) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0))))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8168])).
% 135.04/85.73 tff(8170,plain,
% 135.04/85.73 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB112)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8169, 8167])).
% 135.04/85.73 tff(8171,plain,
% 135.04/85.73 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB112)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8172,plain,
% 135.04/85.73 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v123(constB112, bitIndex0))),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8171, 8170])).
% 135.04/85.73 tff(8173,plain,
% 135.04/85.73 (~v123(constB112, bitIndex0)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8172, 1674, 795, 8162, 8166])).
% 135.04/85.73 tff(8174,plain,
% 135.04/85.73 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex0)) | v123(constB112, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex0)) | v123(constB112, bitIndex0) | (~v121(constB111, bitIndex0)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8175,plain,
% 135.04/85.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex0)) | v123(constB112, bitIndex0) | (~v121(constB111, bitIndex0)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8176,plain,
% 135.04/85.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex0)) | v123(constB112, bitIndex0) | (~v121(constB111, bitIndex0))),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8175, 8174])).
% 135.04/85.73 tff(8177,plain,
% 135.04/85.73 (~v121(constB111, bitIndex0)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8176, 1708, 795, 7094, 8173])).
% 135.04/85.73 tff(8178,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex0)) | v121(constB111, bitIndex0) | (~v124(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex0)) | v121(constB111, bitIndex0) | (~v124(constB111, bitIndex0)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8179,plain,
% 135.04/85.73 ((v26(constB111) | v121(constB111, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0))) <=> (v26(constB111) | (~less_3(bitIndex0)) | v121(constB111, bitIndex0) | (~v124(constB111, bitIndex0)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8180,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex0)) | v121(constB111, bitIndex0) | (~v124(constB111, bitIndex0))))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8179])).
% 135.04/85.73 tff(8181,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex0)) | v121(constB111, bitIndex0) | (~v124(constB111, bitIndex0)))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8180, 8178])).
% 135.04/85.73 tff(8182,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8183,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex0)) | v121(constB111, bitIndex0) | (~v124(constB111, bitIndex0))),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8182, 8181])).
% 135.04/85.73 tff(8184,plain,
% 135.04/85.73 (~v124(constB111, bitIndex0)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8183, 1728, 795, 7083, 8177])).
% 135.04/85.73 tff(8185,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB111)) | v124(constB111, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB111)) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8186,plain,
% 135.04/85.73 (((~v115(constB111)) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB111)) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8187,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB111)) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB111)) | v124(constB111, bitIndex0)))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8186])).
% 135.04/85.73 tff(8188,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB111)) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB111)) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8187, 8185])).
% 135.04/85.73 tff(8189,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB111)) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b011(bitIndex0)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8190,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB111)) | v124(constB111, bitIndex0)),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8189, 8188])).
% 135.04/85.73 tff(8191,plain,
% 135.04/85.73 (~v115(constB111)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8190, 1148, 1193, 795, 8184])).
% 135.04/85.73 tff(8192,plain,
% 135.04/85.73 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8193,plain,
% 135.04/85.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8194,plain,
% 135.04/85.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v172(constB113)),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8193, 8192])).
% 135.04/85.73 tff(8195,plain,
% 135.04/85.73 (v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2))),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8194, 1047, 8160])).
% 135.04/85.73 tff(8196,plain,
% 135.04/85.73 (~v84(constB113, bitIndex2)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8195, 7405, 7286])).
% 135.04/85.73 tff(8197,plain,
% 135.04/85.73 (~v84(constB112, bitIndex2)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[7328, 8196])).
% 135.04/85.73 tff(8198,plain,
% 135.04/85.73 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB112)) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8199,plain,
% 135.04/85.73 (((~less_3(bitIndex2)) | (~v94(constB112)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2))) <=> ((~v94(constB112)) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8200,plain,
% 135.04/85.73 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB112)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB112)) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2))))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8199])).
% 135.04/85.73 tff(8201,plain,
% 135.04/85.73 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB112)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8200, 8198])).
% 135.04/85.73 tff(8202,plain,
% 135.04/85.73 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB112)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8203,plain,
% 135.04/85.73 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB112)) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v123(constB112, bitIndex2))),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8202, 8201])).
% 135.04/85.73 tff(8204,plain,
% 135.04/85.73 (~v123(constB112, bitIndex2)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8203, 1674, 767, 8162, 8197])).
% 135.04/85.73 tff(8205,plain,
% 135.04/85.73 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex2)) | v123(constB112, bitIndex2) | (~v121(constB111, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex2)) | v123(constB112, bitIndex2) | (~v121(constB111, bitIndex2)))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8206,plain,
% 135.04/85.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex2)) | v123(constB112, bitIndex2) | (~v121(constB111, bitIndex2)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8207,plain,
% 135.04/85.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex2)) | v123(constB112, bitIndex2) | (~v121(constB111, bitIndex2))),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8206, 8205])).
% 135.04/85.73 tff(8208,plain,
% 135.04/85.73 (~v121(constB111, bitIndex2)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8207, 1708, 767, 7094, 8204])).
% 135.04/85.73 tff(8209,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8210,plain,
% 135.04/85.73 ((v26(constB111) | v121(constB111, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2))) <=> (v26(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8211,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2)))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8210])).
% 135.04/85.73 tff(8212,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8211, 8209])).
% 135.04/85.73 tff(8213,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB111) | v121(constB111, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8214,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | v121(constB111, bitIndex2)),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8213, 8212])).
% 135.04/85.73 tff(8215,plain,
% 135.04/85.73 (~v124(constB111, bitIndex2)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8214, 1728, 767, 7083, 8208])).
% 135.04/85.73 tff(8216,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB111)) | v124(constB111, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8217,plain,
% 135.04/85.73 (((~v172(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8218,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB111)) | v124(constB111, bitIndex2)))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8217])).
% 135.04/85.73 tff(8219,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8218, 8216])).
% 135.04/85.73 tff(8220,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b110(bitIndex2)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8221,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB111)) | v124(constB111, bitIndex2)),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8220, 8219])).
% 135.04/85.73 tff(8222,plain,
% 135.04/85.73 (~v172(constB111)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8221, 2066, 1798, 767, 8215])).
% 135.04/85.73 tff(8223,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB111)) | v124(constB111, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB111)) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8224,plain,
% 135.04/85.73 (((~v118(constB111)) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB111)) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8225,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB111)) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB111)) | v124(constB111, bitIndex0)))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8224])).
% 135.04/85.73 tff(8226,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB111)) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB111)) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8225, 8223])).
% 135.04/85.73 tff(8227,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB111)) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b011(bitIndex0)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8228,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB111)) | v124(constB111, bitIndex0)),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8227, 8226])).
% 135.04/85.73 tff(8229,plain,
% 135.04/85.73 (~v118(constB111)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8228, 1148, 1145, 795, 8184])).
% 135.04/85.73 tff(8230,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB111)) | v124(constB111, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8231,plain,
% 135.04/85.73 (((~v116(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8232,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB111)) | v124(constB111, bitIndex2)))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8231])).
% 135.04/85.73 tff(8233,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8232, 8230])).
% 135.04/85.73 tff(8234,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b100(bitIndex2)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8235,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB111)) | v124(constB111, bitIndex2)),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8234, 8233])).
% 135.04/85.73 tff(8236,plain,
% 135.04/85.73 (~v116(constB111)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8235, 1772, 1769, 767, 8215])).
% 135.04/85.73 tff(8237,assumption,(~v124(constB111, bitIndex2)), introduced(assumption)).
% 135.04/85.73 tff(8238,assumption,(v113(constB111)), introduced(assumption)).
% 135.04/85.73 tff(8239,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB111)) | v124(constB111, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8240,plain,
% 135.04/85.73 (((~v113(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8241,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB111)) | v124(constB111, bitIndex2)))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8240])).
% 135.04/85.73 tff(8242,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB111)) | v124(constB111, bitIndex2))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8241, 8239])).
% 135.04/85.73 tff(8243,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB111)) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~b100(bitIndex2)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8244,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB111)) | v124(constB111, bitIndex2)),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 135.04/85.73 tff(8245,plain,
% 135.04/85.73 ($false),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8244, 1772, 1838, 767, 8238, 8237])).
% 135.04/85.73 tff(8246,plain,(v124(constB111, bitIndex2) | (~v113(constB111))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.73 tff(8247,plain,
% 135.04/85.73 (~v113(constB111)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8246, 8215])).
% 135.04/85.73 tff(8248,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB111) | (~b001(bitIndex0)) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | v124(constB111, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB111) | (~b001(bitIndex0)) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8249,plain,
% 135.04/85.73 ((v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB111) | (~b001(bitIndex0)) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(rewrite,[status(thm)],[])).
% 135.04/85.73 tff(8250,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB111) | (~b001(bitIndex0)) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | v124(constB111, bitIndex0)))),
% 135.04/85.73 inference(monotonicity,[status(thm)],[8249])).
% 135.04/85.73 tff(8251,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB111) | (~b001(bitIndex0)) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | v124(constB111, bitIndex0))),
% 135.04/85.73 inference(transitivity,[status(thm)],[8250, 8248])).
% 135.04/85.73 tff(8252,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~b001(bitIndex0)))),
% 135.04/85.73 inference(quant_inst,[status(thm)],[])).
% 135.04/85.73 tff(8253,plain,
% 135.04/85.73 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB111) | (~b001(bitIndex0)) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | v124(constB111, bitIndex0)),
% 135.04/85.73 inference(modus_ponens,[status(thm)],[8252, 8251])).
% 135.04/85.73 tff(8254,plain,
% 135.04/85.73 (v145(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8253, 1213, 1210, 795, 8247, 8184])).
% 135.04/85.73 tff(8255,plain,
% 135.04/85.73 (v145(constB111)),
% 135.04/85.73 inference(unit_resolution,[status(thm)],[8254, 8236, 8229, 8222, 8191])).
% 135.04/85.73 tff(8256,plain,
% 135.04/85.73 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB111)) | (~b010(bitIndex1)) | v124(constB111, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB111)) | (~b010(bitIndex1)) | v124(constB111, bitIndex1))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8257,plain,
% 135.04/85.74 (((~v145(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB111)) | (~b010(bitIndex1)) | v124(constB111, bitIndex1))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8258,plain,
% 135.04/85.74 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB111)) | (~b010(bitIndex1)) | v124(constB111, bitIndex1)))),
% 135.04/85.74 inference(monotonicity,[status(thm)],[8257])).
% 135.04/85.74 tff(8259,plain,
% 135.04/85.74 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB111)) | (~b010(bitIndex1)) | v124(constB111, bitIndex1))),
% 135.04/85.74 inference(transitivity,[status(thm)],[8258, 8256])).
% 135.04/85.74 tff(8260,plain,
% 135.04/85.74 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b010(bitIndex1)))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8261,plain,
% 135.04/85.74 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB111)) | (~b010(bitIndex1)) | v124(constB111, bitIndex1)),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8260, 8259])).
% 135.04/85.74 tff(8262,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8261, 1821, 1818, 823, 8255, 8165])).
% 135.04/85.74 tff(8263,plain,(v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | v172(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8264,plain,
% 135.04/85.74 (v84(constB113, bitIndex0)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8263, 7286, 8160])).
% 135.04/85.74 tff(8265,assumption,(~v118(constB113)), introduced(assumption)).
% 135.04/85.74 tff(8266,plain,
% 135.04/85.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v118(constB113))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v118(constB113))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8267,plain,
% 135.04/85.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v118(constB113))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8268,plain,
% 135.04/85.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2)) | v118(constB113)),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 135.04/85.74 tff(8269,plain,
% 135.04/85.74 ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | (~v84(constB113, bitIndex2))),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8268, 1018, 8265])).
% 135.04/85.74 tff(8270,plain,
% 135.04/85.74 (~v84(constB113, bitIndex2)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8269, 8264, 7286])).
% 135.04/85.74 tff(8271,plain,
% 135.04/85.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB113) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB113) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8272,plain,
% 135.04/85.74 (((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2) | v145(constB113)) <=> (v145(constB113) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8273,plain,
% 135.04/85.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2) | v145(constB113))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB113) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2)))),
% 135.04/85.74 inference(monotonicity,[status(thm)],[8272])).
% 135.04/85.74 tff(8274,plain,
% 135.04/85.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2) | v145(constB113))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB113) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2))),
% 135.04/85.74 inference(transitivity,[status(thm)],[8273, 8271])).
% 135.04/85.74 tff(8275,plain,
% 135.04/85.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2) | v145(constB113))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8276,plain,
% 135.04/85.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB113) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2)),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8275, 8274])).
% 135.04/85.74 tff(8277,plain,
% 135.04/85.74 ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8276, 865, 7380])).
% 135.04/85.74 tff(8278,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8277, 8270, 8264, 7286])).
% 135.04/85.74 tff(8279,plain,(v84(constB113, bitIndex1) | v145(constB113) | v118(constB113) | v172(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8280,plain,
% 135.04/85.74 (v145(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8279, 8159, 8151, 8150])).
% 135.04/85.74 tff(8281,plain,
% 135.04/85.74 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB113) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB113) | (~v145(constB113)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8282,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB113) | (~v145(constB113)))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8283,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB113) | (~v145(constB113))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8282, 8281])).
% 135.04/85.74 tff(8284,plain,
% 135.04/85.74 (v112(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8283, 713, 8280])).
% 135.04/85.74 tff(8285,plain,
% 135.04/85.74 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB113) | (~v110(constB113)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB113) | (~v110(constB113)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8286,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB113) | (~v110(constB113)))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8287,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB113) | (~v110(constB113))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8286, 8285])).
% 135.04/85.74 tff(8288,plain,
% 135.04/85.74 (~v110(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8287, 680, 8155])).
% 135.04/85.74 tff(8289,plain,
% 135.04/85.74 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB113) | (~v111(constB113)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB113) | (~v111(constB113)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8290,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB113) | (~v111(constB113)))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8291,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB113) | (~v111(constB113))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 135.04/85.74 tff(8292,plain,
% 135.04/85.74 (~v111(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8291, 691, 8288])).
% 135.04/85.74 tff(8293,plain,
% 135.04/85.74 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB113) | (~v112(constB113)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB113) | (~v112(constB113)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8294,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB113) | (~v112(constB113)))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8295,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB113) | (~v112(constB113))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8294, 8293])).
% 135.04/85.74 tff(8296,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8295, 702, 8292, 8284])).
% 135.04/85.74 tff(8297,plain,(v94(constB114) | v84(constB114, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8298,plain,
% 135.04/85.74 (v84(constB114, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8297, 7464])).
% 135.04/85.74 tff(8299,plain,
% 135.04/85.74 (~v84(constB113, bitIndex2)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7583, 7464, 7575])).
% 135.04/85.74 tff(8300,plain,
% 135.04/85.74 (v84(constB113, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7619, 7464])).
% 135.04/85.74 tff(8301,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB114, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB114, bitIndex0)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8302,plain,
% 135.04/85.74 (((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB114, bitIndex0)) | v84(constB113, bitIndex0)) <=> ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB114, bitIndex0)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8303,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB114, bitIndex0)) | v84(constB113, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB114, bitIndex0))))),
% 135.04/85.74 inference(monotonicity,[status(thm)],[8302])).
% 135.04/85.74 tff(8304,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB114, bitIndex0)) | v84(constB113, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB114, bitIndex0)))),
% 135.04/85.74 inference(transitivity,[status(thm)],[8303, 8301])).
% 135.04/85.74 tff(8305,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | (~v84(constB114, bitIndex0)) | v84(constB113, bitIndex0))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8306,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB113, constB114)) | v94(constB114) | (~less_3(bitIndex0)) | v84(constB113, bitIndex0) | (~v84(constB114, bitIndex0))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8305, 8304])).
% 135.04/85.74 tff(8307,plain,
% 135.04/85.74 (v94(constB114) | v84(constB113, bitIndex0)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8306, 805, 795, 7467, 7630])).
% 135.04/85.74 tff(8308,plain,
% 135.04/85.74 (v84(constB113, bitIndex0)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8307, 7464])).
% 135.04/85.74 tff(8309,assumption,(v116(constB113)), introduced(assumption)).
% 135.04/85.74 tff(8310,plain,
% 135.04/85.74 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB113) | (~v116(constB113)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB113) | (~v116(constB113)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8311,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB113) | (~v116(constB113)))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8312,plain,
% 135.04/85.74 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB113) | (~v116(constB113))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 135.04/85.74 tff(8313,plain,
% 135.04/85.74 (v110(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8312, 934, 8309])).
% 135.04/85.74 tff(8314,plain,
% 135.04/85.74 (v109(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8287, 680, 8313])).
% 135.04/85.74 tff(8315,plain,
% 135.04/85.74 (v108(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8154, 669, 8314])).
% 135.04/85.74 tff(8316,plain,
% 135.04/85.74 (v107(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8145, 658, 8315])).
% 135.04/85.74 tff(8317,plain,
% 135.04/85.74 (v106(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8141, 8316])).
% 135.04/85.74 tff(8318,plain,
% 135.04/85.74 (v102(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8133, 619, 8317])).
% 135.04/85.74 tff(8319,plain,
% 135.04/85.74 (v104(constB114)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8129, 8318])).
% 135.04/85.74 tff(8320,plain,
% 135.04/85.74 (v94(constB114)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8121, 8319])).
% 135.04/85.74 tff(8321,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB114)) | (~v84(constB114, bitIndex1)) | v123(constB114, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB114)) | (~v84(constB114, bitIndex1)) | v123(constB114, bitIndex1))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8322,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB114)) | (~v84(constB114, bitIndex1)) | v123(constB114, bitIndex1))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8323,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB114)) | (~v84(constB114, bitIndex1)) | v123(constB114, bitIndex1)),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8322, 8321])).
% 135.04/85.74 tff(8324,plain,
% 135.04/85.74 ((~v94(constB114)) | v123(constB114, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8323, 1344, 823, 7612])).
% 135.04/85.74 tff(8325,plain,
% 135.04/85.74 (v123(constB114, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8324, 8320])).
% 135.04/85.74 tff(8326,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v121(constB113, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v121(constB113, bitIndex1))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8327,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v121(constB113, bitIndex1))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8328,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex1)) | (~v123(constB114, bitIndex1)) | v121(constB113, bitIndex1)),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8327, 8326])).
% 135.04/85.74 tff(8329,plain,
% 135.04/85.74 (v121(constB113, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8328, 1362, 823, 7467, 8325])).
% 135.04/85.74 tff(8330,plain,
% 135.04/85.74 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~v121(constB113, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~v121(constB113, bitIndex1)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8331,plain,
% 135.04/85.74 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~v121(constB113, bitIndex1)))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8332,plain,
% 135.04/85.74 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex1)) | v124(constB113, bitIndex1) | (~v121(constB113, bitIndex1))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8331, 8330])).
% 135.04/85.74 tff(8333,plain,
% 135.04/85.74 (v124(constB113, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8332, 1380, 823, 7491, 8329])).
% 135.04/85.74 tff(8334,plain,
% 135.04/85.74 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB113)) | (~v124(constB113, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB113)) | (~v124(constB113, bitIndex1)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8335,plain,
% 135.04/85.74 (((~v116(constB113)) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB113)) | (~v124(constB113, bitIndex1)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8336,plain,
% 135.04/85.74 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB113)) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB113)) | (~v124(constB113, bitIndex1))))),
% 135.04/85.74 inference(monotonicity,[status(thm)],[8335])).
% 135.04/85.74 tff(8337,plain,
% 135.04/85.74 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB113)) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB113)) | (~v124(constB113, bitIndex1)))),
% 135.04/85.74 inference(transitivity,[status(thm)],[8336, 8334])).
% 135.04/85.74 tff(8338,plain,
% 135.04/85.74 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB113)) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b100(bitIndex1))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8339,plain,
% 135.04/85.74 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB113)) | (~v124(constB113, bitIndex1))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8338, 8337])).
% 135.04/85.74 tff(8340,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8339, 2167, 2164, 823, 8333, 8309])).
% 135.04/85.74 tff(8341,plain,((~v116(constB113)) | (~v84(constB114, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8342,plain,
% 135.04/85.74 (~v116(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8341, 7612])).
% 135.04/85.74 tff(8343,plain,
% 135.04/85.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v116(constB113))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v116(constB113))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8344,plain,
% 135.04/85.74 (((~v84(constB113, bitIndex0)) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v116(constB113)) <=> ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v116(constB113))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8345,plain,
% 135.04/85.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB113, bitIndex0)) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v116(constB113))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v116(constB113)))),
% 135.04/85.74 inference(monotonicity,[status(thm)],[8344])).
% 135.04/85.74 tff(8346,plain,
% 135.04/85.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB113, bitIndex0)) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v116(constB113))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v116(constB113))),
% 135.04/85.74 inference(transitivity,[status(thm)],[8345, 8343])).
% 135.04/85.74 tff(8347,plain,
% 135.04/85.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB113, bitIndex0)) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v116(constB113))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8348,plain,
% 135.04/85.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB113, bitIndex0)) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v116(constB113)),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 135.04/85.74 tff(8349,plain,
% 135.04/85.74 ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1))),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8348, 1076, 8342])).
% 135.04/85.74 tff(8350,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8349, 8308, 8300, 8299])).
% 135.04/85.74 tff(8351,plain,(v94(constB114) | (~v84(constB114, bitIndex0)) | (~v84(constB114, bitIndex1)) | v84(constB114, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8352,plain,
% 135.04/85.74 (~v84(constB114, bitIndex0)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8351, 7464, 7575, 8298])).
% 135.04/85.74 tff(8353,plain,
% 135.04/85.74 (v84(constB115, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7672, 8298])).
% 135.04/85.74 tff(8354,plain,
% 135.04/85.74 (v84(constB115, bitIndex0)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7956, 8353, 7939, 7766])).
% 135.04/85.74 tff(8355,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB114, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB114, bitIndex0))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8356,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB114, bitIndex0))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8357,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex0)) | (~v84(constB115, bitIndex0)) | v84(constB114, bitIndex0)),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8356, 8355])).
% 135.04/85.74 tff(8358,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8357, 805, 795, 7637, 7649, 8354, 8352])).
% 135.04/85.74 tff(8359,plain,(v94(constB114) | v115(constB115) | v119(constB115) | v84(constB114, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8360,plain,
% 135.04/85.74 (v94(constB114)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8359, 8099, 8066, 8091])).
% 135.04/85.74 tff(8361,plain,
% 135.04/85.74 (v104(constB114)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7525, 8360])).
% 135.04/85.74 tff(8362,plain,
% 135.04/85.74 (v102(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7533, 8361])).
% 135.04/85.74 tff(8363,plain,
% 135.04/85.74 (v106(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7541, 8362])).
% 135.04/85.74 tff(8364,plain,
% 135.04/85.74 (v107(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7545, 3161, 8363])).
% 135.04/85.74 tff(8365,plain,
% 135.04/85.74 (v94(constB112)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7416, 8364])).
% 135.04/85.74 tff(8366,plain,
% 135.04/85.74 (~v84(constB115, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7735, 816, 8083])).
% 135.04/85.74 tff(8367,plain,
% 135.04/85.74 (~v84(constB114, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7672, 8366])).
% 135.04/85.74 tff(8368,assumption,(v123(constB114, bitIndex1)), introduced(assumption)).
% 135.04/85.74 tff(8369,assumption,(v94(constB114)), introduced(assumption)).
% 135.04/85.74 tff(8370,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7482, 1674, 823, 8369, 7463, 8368])).
% 135.04/85.74 tff(8371,plain,(v84(constB114, bitIndex1) | (~v94(constB114)) | (~v123(constB114, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8372,plain,
% 135.04/85.74 (~v123(constB114, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8371, 8367, 8360])).
% 135.04/85.74 tff(8373,assumption,(~v123(constB114, bitIndex1)), introduced(assumption)).
% 135.04/85.74 tff(8374,assumption,(v121(constB113, bitIndex1)), introduced(assumption)).
% 135.04/85.74 tff(8375,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7486, 1708, 823, 7467, 8374, 8373])).
% 135.04/85.74 tff(8376,plain,(v123(constB114, bitIndex1) | (~v121(constB113, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8377,plain,
% 135.04/85.74 (~v121(constB113, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8376, 8372])).
% 135.04/85.74 tff(8378,plain,
% 135.04/85.74 (~v124(constB113, bitIndex1)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7497, 1728, 823, 7491, 8377])).
% 135.04/85.74 tff(8379,assumption,(~v124(constB113, bitIndex1)), introduced(assumption)).
% 135.04/85.74 tff(8380,plain,
% 135.04/85.74 ($false),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7504, 1821, 1818, 823, 7331, 8379])).
% 135.04/85.74 tff(8381,plain,(v124(constB113, bitIndex1) | (~v145(constB113))), inference(lemma,lemma(discharge,[]))).
% 135.04/85.74 tff(8382,plain,
% 135.04/85.74 (~v145(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8381, 8378])).
% 135.04/85.74 tff(8383,plain,
% 135.04/85.74 (~v172(constB113)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[7563, 1801, 1798, 823, 8378])).
% 135.04/85.74 tff(8384,plain,
% 135.04/85.74 (v84(constB113, bitIndex2)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8277, 8264, 7286])).
% 135.04/85.74 tff(8385,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB113, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB113, bitIndex2)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8386,plain,
% 135.04/85.74 (((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB112, bitIndex2)) <=> ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB113, bitIndex2)))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8387,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB112, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB113, bitIndex2))))),
% 135.04/85.74 inference(monotonicity,[status(thm)],[8386])).
% 135.04/85.74 tff(8388,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB112, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB113, bitIndex2)))),
% 135.04/85.74 inference(transitivity,[status(thm)],[8387, 8385])).
% 135.04/85.74 tff(8389,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | (~v84(constB113, bitIndex2)) | v84(constB112, bitIndex2))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8390,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex2)) | v84(constB112, bitIndex2) | (~v84(constB113, bitIndex2))),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8389, 8388])).
% 135.04/85.74 tff(8391,plain,
% 135.04/85.74 (v84(constB112, bitIndex2)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8390, 805, 767, 7293, 7305, 8384])).
% 135.04/85.74 tff(8392,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB112)) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB112)) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8393,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB112)) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8394,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB112)) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2)),
% 135.04/85.74 inference(modus_ponens,[status(thm)],[8393, 8392])).
% 135.04/85.74 tff(8395,plain,
% 135.04/85.74 (v123(constB112, bitIndex2)),
% 135.04/85.74 inference(unit_resolution,[status(thm)],[8394, 1344, 767, 8162, 8391])).
% 135.04/85.74 tff(8396,plain,
% 135.04/85.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex2)) | (~v123(constB112, bitIndex2)) | v121(constB111, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex2)) | (~v123(constB112, bitIndex2)) | v121(constB111, bitIndex2))),
% 135.04/85.74 inference(rewrite,[status(thm)],[])).
% 135.04/85.74 tff(8397,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex2)) | (~v123(constB112, bitIndex2)) | v121(constB111, bitIndex2))),
% 135.04/85.74 inference(quant_inst,[status(thm)],[])).
% 135.04/85.74 tff(8398,plain,
% 135.04/85.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex2)) | (~v123(constB112, bitIndex2)) | v121(constB111, bitIndex2)),
% 135.04/85.75 inference(modus_ponens,[status(thm)],[8397, 8396])).
% 135.04/85.75 tff(8399,plain,
% 135.04/85.75 (v121(constB111, bitIndex2)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[8398, 1362, 767, 7094, 8395])).
% 135.04/85.75 tff(8400,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex2)) | (~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex2)) | (~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8401,plain,
% 135.04/85.75 ((v26(constB111) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2))) <=> (v26(constB111) | (~less_3(bitIndex2)) | (~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8402,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex2)) | (~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(monotonicity,[status(thm)],[8401])).
% 135.04/85.75 tff(8403,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex2)) | (~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2))),
% 135.04/85.75 inference(transitivity,[status(thm)],[8402, 8400])).
% 135.04/85.75 tff(8404,plain,
% 135.04/85.75 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex2)) | v124(constB111, bitIndex2) | (~v121(constB111, bitIndex2)))),
% 135.04/85.75 inference(quant_inst,[status(thm)],[])).
% 135.04/85.75 tff(8405,plain,
% 135.04/85.75 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex2)) | (~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2)),
% 135.04/85.75 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 135.04/85.75 tff(8406,plain,
% 135.04/85.75 (v124(constB111, bitIndex2)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[8405, 1380, 767, 7083, 8399])).
% 135.04/85.75 tff(8407,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB111)) | (~v124(constB111, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8408,plain,
% 135.04/85.75 (((~v115(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8409,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB111)) | (~v124(constB111, bitIndex2))))),
% 135.04/85.75 inference(monotonicity,[status(thm)],[8408])).
% 135.04/85.75 tff(8410,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(transitivity,[status(thm)],[8409, 8407])).
% 135.04/85.75 tff(8411,plain,
% 135.04/85.75 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b011(bitIndex2))),
% 135.04/85.75 inference(quant_inst,[status(thm)],[])).
% 135.04/85.75 tff(8412,plain,
% 135.04/85.75 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB111)) | (~v124(constB111, bitIndex2))),
% 135.04/85.75 inference(modus_ponens,[status(thm)],[8411, 8410])).
% 135.04/85.75 tff(8413,plain,
% 135.04/85.75 (~v115(constB111)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[8412, 2030, 2257, 767, 8406])).
% 135.04/85.75 tff(8414,plain,
% 135.04/85.75 (~v172(constB111)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[7457, 1801, 1798, 823, 8165])).
% 135.04/85.75 tff(8415,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB111)) | (~v124(constB111, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8416,plain,
% 135.04/85.75 (((~v145(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8417,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB111)) | (~v124(constB111, bitIndex2))))),
% 135.04/85.75 inference(monotonicity,[status(thm)],[8416])).
% 135.04/85.75 tff(8418,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(transitivity,[status(thm)],[8417, 8415])).
% 135.04/85.75 tff(8419,plain,
% 135.04/85.75 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b010(bitIndex2))),
% 135.04/85.75 inference(quant_inst,[status(thm)],[])).
% 135.04/85.75 tff(8420,plain,
% 135.04/85.75 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB111)) | (~v124(constB111, bitIndex2))),
% 135.04/85.75 inference(modus_ponens,[status(thm)],[8419, 8418])).
% 135.04/85.75 tff(8421,plain,
% 135.04/85.75 (~v145(constB111)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[8420, 1419, 1416, 767, 8406])).
% 135.04/85.75 tff(8422,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB111)) | (~v124(constB111, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8423,plain,
% 135.04/85.75 (((~v118(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8424,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB111)) | (~v124(constB111, bitIndex2))))),
% 135.04/85.75 inference(monotonicity,[status(thm)],[8423])).
% 135.04/85.75 tff(8425,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB111)) | (~v124(constB111, bitIndex2)))),
% 135.04/85.75 inference(transitivity,[status(thm)],[8424, 8422])).
% 135.04/85.75 tff(8426,plain,
% 135.04/85.75 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB111)) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b011(bitIndex2))),
% 135.04/85.75 inference(quant_inst,[status(thm)],[])).
% 135.04/85.75 tff(8427,plain,
% 135.04/85.75 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB111)) | (~v124(constB111, bitIndex2))),
% 135.04/85.75 inference(modus_ponens,[status(thm)],[8426, 8425])).
% 135.04/85.75 tff(8428,plain,
% 135.04/85.75 (~v118(constB111)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[8427, 2030, 2027, 767, 8406])).
% 135.04/85.75 tff(8429,plain,
% 135.04/85.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0)))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8430,plain,
% 135.04/85.75 (((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB112, bitIndex0)) <=> ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0)))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8431,plain,
% 135.04/85.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB112, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0))))),
% 135.04/85.75 inference(monotonicity,[status(thm)],[8430])).
% 135.04/85.75 tff(8432,plain,
% 135.04/85.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB112, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0)))),
% 135.04/85.75 inference(transitivity,[status(thm)],[8431, 8429])).
% 135.04/85.75 tff(8433,plain,
% 135.04/85.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | (~v84(constB113, bitIndex0)) | v84(constB112, bitIndex0))),
% 135.04/85.75 inference(quant_inst,[status(thm)],[])).
% 135.04/85.75 tff(8434,plain,
% 135.04/85.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex0)) | v84(constB112, bitIndex0) | (~v84(constB113, bitIndex0))),
% 135.04/85.75 inference(modus_ponens,[status(thm)],[8433, 8432])).
% 135.04/85.75 tff(8435,plain,
% 135.04/85.75 (v84(constB112, bitIndex0)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[8434, 805, 795, 7293, 7305, 8264])).
% 135.04/85.75 tff(8436,plain,
% 135.04/85.75 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB112)) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB112)) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8437,plain,
% 135.04/85.75 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB112)) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0))),
% 135.04/85.75 inference(quant_inst,[status(thm)],[])).
% 135.04/85.75 tff(8438,plain,
% 135.04/85.75 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB112)) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0)),
% 135.04/85.75 inference(modus_ponens,[status(thm)],[8437, 8436])).
% 135.04/85.75 tff(8439,plain,
% 135.04/85.75 (v123(constB112, bitIndex0)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[8438, 1344, 795, 8162, 8435])).
% 135.04/85.75 tff(8440,plain,
% 135.04/85.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex0)) | (~v123(constB112, bitIndex0)) | v121(constB111, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex0)) | (~v123(constB112, bitIndex0)) | v121(constB111, bitIndex0))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8441,plain,
% 135.04/85.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex0)) | (~v123(constB112, bitIndex0)) | v121(constB111, bitIndex0))),
% 135.04/85.75 inference(quant_inst,[status(thm)],[])).
% 135.04/85.75 tff(8442,plain,
% 135.04/85.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex0)) | (~v123(constB112, bitIndex0)) | v121(constB111, bitIndex0)),
% 135.04/85.75 inference(modus_ponens,[status(thm)],[8441, 8440])).
% 135.04/85.75 tff(8443,plain,
% 135.04/85.75 (v121(constB111, bitIndex0)),
% 135.04/85.75 inference(unit_resolution,[status(thm)],[8442, 1362, 795, 7094, 8439])).
% 135.04/85.75 tff(8444,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex0)) | (~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex0)) | (~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8445,plain,
% 135.04/85.75 ((v26(constB111) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0))) <=> (v26(constB111) | (~less_3(bitIndex0)) | (~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0))),
% 135.04/85.75 inference(rewrite,[status(thm)],[])).
% 135.04/85.75 tff(8446,plain,
% 135.04/85.75 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex0)) | (~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0)))),
% 135.11/85.75 inference(monotonicity,[status(thm)],[8445])).
% 135.11/85.75 tff(8447,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex0)) | (~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0))),
% 135.11/85.75 inference(transitivity,[status(thm)],[8446, 8444])).
% 135.11/85.75 tff(8448,plain,
% 135.11/85.75 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex0)) | v124(constB111, bitIndex0) | (~v121(constB111, bitIndex0)))),
% 135.11/85.75 inference(quant_inst,[status(thm)],[])).
% 135.11/85.75 tff(8449,plain,
% 135.11/85.75 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex0)) | (~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0)),
% 135.11/85.75 inference(modus_ponens,[status(thm)],[8448, 8447])).
% 135.11/85.75 tff(8450,plain,
% 135.11/85.75 (v124(constB111, bitIndex0)),
% 135.11/85.75 inference(unit_resolution,[status(thm)],[8449, 1380, 795, 7083, 8443])).
% 135.11/85.75 tff(8451,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB111)) | (~v124(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.75 inference(rewrite,[status(thm)],[])).
% 135.11/85.75 tff(8452,plain,
% 135.11/85.75 (((~v116(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.75 inference(rewrite,[status(thm)],[])).
% 135.11/85.75 tff(8453,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB111)) | (~v124(constB111, bitIndex0))))),
% 135.11/85.75 inference(monotonicity,[status(thm)],[8452])).
% 135.11/85.75 tff(8454,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.75 inference(transitivity,[status(thm)],[8453, 8451])).
% 135.11/85.75 tff(8455,plain,
% 135.11/85.75 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b100(bitIndex0))),
% 135.11/85.75 inference(quant_inst,[status(thm)],[])).
% 135.11/85.75 tff(8456,plain,
% 135.11/85.75 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB111)) | (~v124(constB111, bitIndex0))),
% 135.11/85.75 inference(modus_ponens,[status(thm)],[8455, 8454])).
% 135.11/85.75 tff(8457,plain,
% 135.11/85.75 (~v116(constB111)),
% 135.11/85.75 inference(unit_resolution,[status(thm)],[8456, 2386, 2164, 795, 8450])).
% 135.11/85.75 tff(8458,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB111)) | (~v124(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.75 inference(rewrite,[status(thm)],[])).
% 135.11/85.75 tff(8459,plain,
% 135.11/85.75 (((~v113(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.75 inference(rewrite,[status(thm)],[])).
% 135.11/85.75 tff(8460,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB111)) | (~v124(constB111, bitIndex0))))),
% 135.11/85.75 inference(monotonicity,[status(thm)],[8459])).
% 135.11/85.75 tff(8461,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.75 inference(transitivity,[status(thm)],[8460, 8458])).
% 135.11/85.75 tff(8462,plain,
% 135.11/85.75 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b100(bitIndex0))),
% 135.11/85.75 inference(quant_inst,[status(thm)],[])).
% 135.11/85.75 tff(8463,plain,
% 135.11/85.75 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB111)) | (~v124(constB111, bitIndex0))),
% 135.11/85.75 inference(modus_ponens,[status(thm)],[8462, 8461])).
% 135.11/85.75 tff(8464,plain,
% 135.11/85.75 (~v113(constB111)),
% 135.11/85.75 inference(unit_resolution,[status(thm)],[8463, 2386, 2186, 795, 8450])).
% 135.11/85.75 tff(8465,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex2)))),
% 135.11/85.75 inference(rewrite,[status(thm)],[])).
% 135.11/85.75 tff(8466,plain,
% 135.11/85.75 ((v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex2)))),
% 135.11/85.75 inference(rewrite,[status(thm)],[])).
% 135.11/85.75 tff(8467,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex2))))),
% 135.11/85.75 inference(monotonicity,[status(thm)],[8466])).
% 135.11/85.75 tff(8468,plain,
% 135.11/85.75 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex2)))),
% 135.11/85.75 inference(transitivity,[status(thm)],[8467, 8465])).
% 135.11/85.75 tff(8469,plain,
% 135.11/85.75 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex2)) | (~v124(constB111, bitIndex2)) | b001(bitIndex2))),
% 135.11/85.75 inference(quant_inst,[status(thm)],[])).
% 135.11/85.75 tff(8470,plain,
% 135.11/85.75 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex2))),
% 135.11/85.75 inference(modus_ponens,[status(thm)],[8469, 8468])).
% 135.11/85.75 tff(8471,plain,
% 135.11/85.75 (v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111)),
% 135.11/85.75 inference(unit_resolution,[status(thm)],[8470, 2427, 2424, 767, 8406])).
% 135.11/85.75 tff(8472,plain,
% 135.11/85.75 ($false),
% 135.11/85.75 inference(unit_resolution,[status(thm)],[8471, 8464, 8457, 8428, 8421, 8414, 8413])).
% 135.11/85.75 tff(8473,plain,(v84(constB113, bitIndex1) | v145(constB113) | v172(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.75 tff(8474,plain,
% 135.11/85.75 (v84(constB113, bitIndex1)),
% 135.11/85.75 inference(unit_resolution,[status(thm)],[8473, 8383, 8382])).
% 135.11/85.75 tff(8475,plain,
% 135.11/85.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB113, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB113, bitIndex1)))),
% 135.11/85.75 inference(rewrite,[status(thm)],[])).
% 135.11/85.75 tff(8476,plain,
% 135.11/85.75 (((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB112, bitIndex1)) <=> ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB113, bitIndex1)))),
% 135.11/85.75 inference(rewrite,[status(thm)],[])).
% 135.11/85.75 tff(8477,plain,
% 135.11/85.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB112, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB113, bitIndex1))))),
% 135.11/85.75 inference(monotonicity,[status(thm)],[8476])).
% 135.11/85.75 tff(8478,plain,
% 135.11/85.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB112, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB113, bitIndex1)))),
% 135.11/85.75 inference(transitivity,[status(thm)],[8477, 8475])).
% 135.11/85.76 tff(8479,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | (~v84(constB113, bitIndex1)) | v84(constB112, bitIndex1))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8480,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB112, constB113)) | v94(constB113) | (~less_3(bitIndex1)) | v84(constB112, bitIndex1) | (~v84(constB113, bitIndex1))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 135.11/85.76 tff(8481,plain,
% 135.11/85.76 (v84(constB112, bitIndex1)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8480, 805, 823, 7293, 7305, 8474])).
% 135.11/85.76 tff(8482,plain,
% 135.11/85.76 (~v84(constB114, bitIndex1)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8341, 8309])).
% 135.11/85.76 tff(8483,plain,
% 135.11/85.76 (v94(constB114)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8297, 8482])).
% 135.11/85.76 tff(8484,plain,
% 135.11/85.76 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v84(constB114, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v84(constB114, bitIndex2))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8485,plain,
% 135.11/85.76 (((~less_3(bitIndex2)) | (~v94(constB114)) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2))) <=> ((~v94(constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v84(constB114, bitIndex2))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8486,plain,
% 135.11/85.76 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB114)) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v84(constB114, bitIndex2)))),
% 135.11/85.76 inference(monotonicity,[status(thm)],[8485])).
% 135.11/85.76 tff(8487,plain,
% 135.11/85.76 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB114)) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v84(constB114, bitIndex2))),
% 135.11/85.76 inference(transitivity,[status(thm)],[8486, 8484])).
% 135.11/85.76 tff(8488,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB114)) | v84(constB114, bitIndex2) | (~v123(constB114, bitIndex2)))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8489,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v84(constB114, bitIndex2)),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8488, 8487])).
% 135.11/85.76 tff(8490,plain,
% 135.11/85.76 ((~v94(constB114)) | (~v123(constB114, bitIndex2))),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8489, 1674, 767, 7575])).
% 135.11/85.76 tff(8491,plain,
% 135.11/85.76 (~v123(constB114, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8490, 8483])).
% 135.11/85.76 tff(8492,plain,
% 135.11/85.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex2)) | v123(constB114, bitIndex2) | (~v121(constB113, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex2)) | v123(constB114, bitIndex2) | (~v121(constB113, bitIndex2)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8493,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex2)) | v123(constB114, bitIndex2) | (~v121(constB113, bitIndex2)))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8494,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex2)) | v123(constB114, bitIndex2) | (~v121(constB113, bitIndex2))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8493, 8492])).
% 135.11/85.76 tff(8495,plain,
% 135.11/85.76 (~v121(constB113, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8494, 1708, 767, 7467, 8491])).
% 135.11/85.76 tff(8496,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex2)) | v121(constB113, bitIndex2) | (~v124(constB113, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex2)) | v121(constB113, bitIndex2) | (~v124(constB113, bitIndex2)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8497,plain,
% 135.11/85.76 ((v26(constB113) | v121(constB113, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2))) <=> (v26(constB113) | (~less_3(bitIndex2)) | v121(constB113, bitIndex2) | (~v124(constB113, bitIndex2)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8498,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex2)) | v121(constB113, bitIndex2) | (~v124(constB113, bitIndex2))))),
% 135.11/85.76 inference(monotonicity,[status(thm)],[8497])).
% 135.11/85.76 tff(8499,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex2)) | v121(constB113, bitIndex2) | (~v124(constB113, bitIndex2)))),
% 135.11/85.76 inference(transitivity,[status(thm)],[8498, 8496])).
% 135.11/85.76 tff(8500,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8501,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex2)) | v121(constB113, bitIndex2) | (~v124(constB113, bitIndex2))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8500, 8499])).
% 135.11/85.76 tff(8502,plain,
% 135.11/85.76 (~v124(constB113, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8501, 1728, 767, 7491, 8495])).
% 135.11/85.76 tff(8503,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB113)) | v124(constB113, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB113)) | v124(constB113, bitIndex2))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8504,plain,
% 135.11/85.76 (((~v116(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB113)) | v124(constB113, bitIndex2))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8505,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB113)) | v124(constB113, bitIndex2)))),
% 135.11/85.76 inference(monotonicity,[status(thm)],[8504])).
% 135.11/85.76 tff(8506,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB113)) | v124(constB113, bitIndex2))),
% 135.11/85.76 inference(transitivity,[status(thm)],[8505, 8503])).
% 135.11/85.76 tff(8507,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b100(bitIndex2)))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8508,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB113)) | v124(constB113, bitIndex2)),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8507, 8506])).
% 135.11/85.76 tff(8509,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8508, 1772, 1769, 767, 8309, 8502])).
% 135.11/85.76 tff(8510,plain,((~v116(constB113)) | v84(constB114, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8511,plain,
% 135.11/85.76 (~v116(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8510, 8099])).
% 135.11/85.76 tff(8512,plain,
% 135.11/85.76 (~v113(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7378, 1465, 8474])).
% 135.11/85.76 tff(8513,plain,
% 135.11/85.76 (v113(constB113) | (~v112(constB113))),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7386, 2894, 8382])).
% 135.11/85.76 tff(8514,plain,
% 135.11/85.76 (~v112(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8513, 8512])).
% 135.11/85.76 tff(8515,assumption,(v115(constB113)), introduced(assumption)).
% 135.11/85.76 tff(8516,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7513, 3033, 1193, 823, 8515, 8379])).
% 135.11/85.76 tff(8517,plain,(v124(constB113, bitIndex1) | (~v115(constB113))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8518,plain,
% 135.11/85.76 (~v115(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8517, 8378])).
% 135.11/85.76 tff(8519,plain,
% 135.11/85.76 (v112(constB113) | (~v111(constB113))),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7395, 2911, 8518])).
% 135.11/85.76 tff(8520,plain,
% 135.11/85.76 (~v111(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8519, 8514])).
% 135.11/85.76 tff(8521,assumption,(~v111(constB113)), introduced(assumption)).
% 135.11/85.76 tff(8522,plain,
% 135.11/85.76 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB113) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB113) | (~v115(constB113)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8523,plain,
% 135.11/85.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB113) | (~v115(constB113)))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8524,plain,
% 135.11/85.76 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB113) | (~v115(constB113))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 135.11/85.76 tff(8525,plain,
% 135.11/85.76 (~v115(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8524, 945, 8521])).
% 135.11/85.76 tff(8526,plain,
% 135.11/85.76 (~v112(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8295, 702, 8521])).
% 135.11/85.76 tff(8527,plain,
% 135.11/85.76 (~v145(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8283, 713, 8526])).
% 135.11/85.76 tff(8528,plain,
% 135.11/85.76 (v84(constB113, bitIndex1)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8473, 8527, 8160])).
% 135.11/85.76 tff(8529,assumption,(~v116(constB113)), introduced(assumption)).
% 135.11/85.76 tff(8530,plain,
% 135.11/85.76 ((~v84(constB113, bitIndex0)) | (~v84(constB113, bitIndex1))),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8348, 1076, 7319, 8529])).
% 135.11/85.76 tff(8531,plain,
% 135.11/85.76 (~v84(constB113, bitIndex0)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8530, 8528])).
% 135.11/85.76 tff(8532,plain,
% 135.11/85.76 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v115(constB113))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v115(constB113))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8533,plain,
% 135.11/85.76 ((v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113)) <=> (v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v115(constB113))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8534,plain,
% 135.11/85.76 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v115(constB113)))),
% 135.11/85.76 inference(monotonicity,[status(thm)],[8533])).
% 135.11/85.76 tff(8535,plain,
% 135.11/85.76 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v115(constB113))),
% 135.11/85.76 inference(transitivity,[status(thm)],[8534, 8532])).
% 135.11/85.76 tff(8536,plain,
% 135.11/85.76 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2) | v115(constB113))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8537,plain,
% 135.11/85.76 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v115(constB113)),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8536, 8535])).
% 135.11/85.76 tff(8538,plain,
% 135.11/85.76 (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex1)) | v115(constB113)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8537, 1095, 7319])).
% 135.11/85.76 tff(8539,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8538, 8531, 8528, 8525])).
% 135.11/85.76 tff(8540,plain,(v111(constB113) | v84(constB113, bitIndex2) | v116(constB113) | v172(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8541,plain,
% 135.11/85.76 (v84(constB113, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8540, 8520, 8511, 8383])).
% 135.11/85.76 tff(8542,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8390, 805, 767, 7293, 7305, 7110, 7330])).
% 135.11/85.76 tff(8543,plain,((~v84(constB113, bitIndex2)) | v84(constB112, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8544,plain,
% 135.11/85.76 (v84(constB112, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8543, 8541])).
% 135.11/85.76 tff(8545,assumption,(v94(constB112)), introduced(assumption)).
% 135.11/85.76 tff(8546,plain,
% 135.11/85.76 ((~v94(constB112)) | v123(constB112, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8394, 1344, 767, 7320])).
% 135.11/85.76 tff(8547,plain,
% 135.11/85.76 (v123(constB112, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8546, 8545])).
% 135.11/85.76 tff(8548,plain,
% 135.11/85.76 (v121(constB111, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8398, 1362, 767, 7094, 8547])).
% 135.11/85.76 tff(8549,plain,
% 135.11/85.76 (v124(constB111, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8405, 1380, 767, 7083, 8548])).
% 135.11/85.76 tff(8550,plain,
% 135.11/85.76 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB112)) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB112)) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8551,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB112)) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8552,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB112)) | (~v84(constB112, bitIndex1)) | v123(constB112, bitIndex1)),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8551, 8550])).
% 135.11/85.76 tff(8553,plain,
% 135.11/85.76 ((~v94(constB112)) | v123(constB112, bitIndex1)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8552, 1344, 823, 7287])).
% 135.11/85.76 tff(8554,plain,
% 135.11/85.76 (v123(constB112, bitIndex1)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8553, 8545])).
% 135.11/85.76 tff(8555,plain,
% 135.11/85.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex1)) | (~v123(constB112, bitIndex1)) | v121(constB111, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex1)) | (~v123(constB112, bitIndex1)) | v121(constB111, bitIndex1))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8556,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB111, constB112)) | (~less_3(bitIndex1)) | (~v123(constB112, bitIndex1)) | v121(constB111, bitIndex1))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8557,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB111, constB112)) | (~less_3(bitIndex1)) | (~v123(constB112, bitIndex1)) | v121(constB111, bitIndex1)),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8556, 8555])).
% 135.11/85.76 tff(8558,plain,
% 135.11/85.76 (v121(constB111, bitIndex1)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8557, 1362, 823, 7094, 8554])).
% 135.11/85.76 tff(8559,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8560,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB111) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1)))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8561,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB111) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~v121(constB111, bitIndex1))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8560, 8559])).
% 135.11/85.76 tff(8562,plain,
% 135.11/85.76 (v124(constB111, bitIndex1)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8561, 1380, 823, 7083, 8558])).
% 135.11/85.76 tff(8563,plain,
% 135.11/85.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB111, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB111, bitIndex1))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8564,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB111, bitIndex1))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8565,plain,
% 135.11/85.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB111, constB112)) | v94(constB112) | (~less_3(bitIndex1)) | (~v84(constB112, bitIndex1)) | v84(constB111, bitIndex1)),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8564, 8563])).
% 135.11/85.76 tff(8566,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8565, 805, 823, 7094, 7108, 7285, 6988])).
% 135.11/85.76 tff(8567,plain,(v84(constB111, bitIndex1) | v94(constB112)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8568,plain,
% 135.11/85.76 (v94(constB112)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8567, 6988])).
% 135.11/85.76 tff(8569,assumption,(~v123(constB112, bitIndex0)), introduced(assumption)).
% 135.11/85.76 tff(8570,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8438, 1344, 795, 8545, 7406, 8569])).
% 135.11/85.76 tff(8571,plain,((~v84(constB112, bitIndex0)) | (~v94(constB112)) | v123(constB112, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8572,plain,
% 135.11/85.76 (v123(constB112, bitIndex0)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8571, 8568, 7406])).
% 135.11/85.76 tff(8573,assumption,(~v121(constB111, bitIndex0)), introduced(assumption)).
% 135.11/85.76 tff(8574,assumption,(v123(constB112, bitIndex0)), introduced(assumption)).
% 135.11/85.76 tff(8575,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8442, 1362, 795, 7094, 8574, 8573])).
% 135.11/85.76 tff(8576,plain,((~v123(constB112, bitIndex0)) | v121(constB111, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8577,plain,
% 135.11/85.76 (v121(constB111, bitIndex0)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8576, 8572])).
% 135.11/85.76 tff(8578,assumption,(v121(constB111, bitIndex0)), introduced(assumption)).
% 135.11/85.76 tff(8579,assumption,(~v124(constB111, bitIndex0)), introduced(assumption)).
% 135.11/85.76 tff(8580,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8449, 1380, 795, 7083, 8579, 8578])).
% 135.11/85.76 tff(8581,plain,((~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8582,plain,
% 135.11/85.76 (v124(constB111, bitIndex0)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8581, 8577])).
% 135.11/85.76 tff(8583,plain,
% 135.11/85.76 (~v113(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8463, 2386, 2186, 795, 8582])).
% 135.11/85.76 tff(8584,plain,
% 135.11/85.76 (~v116(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8456, 2386, 2164, 795, 8582])).
% 135.11/85.76 tff(8585,assumption,(v124(constB111, bitIndex0)), introduced(assumption)).
% 135.11/85.76 tff(8586,assumption,(v145(constB111)), introduced(assumption)).
% 135.11/85.76 tff(8587,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB111)) | (~v124(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8588,plain,
% 135.11/85.76 (((~v145(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8589,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB111)) | (~v124(constB111, bitIndex0))))),
% 135.11/85.76 inference(monotonicity,[status(thm)],[8588])).
% 135.11/85.76 tff(8590,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.76 inference(transitivity,[status(thm)],[8589, 8587])).
% 135.11/85.76 tff(8591,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b010(bitIndex0))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8592,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB111)) | (~v124(constB111, bitIndex0))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8591, 8590])).
% 135.11/85.76 tff(8593,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8592, 2299, 1416, 795, 8586, 8585])).
% 135.11/85.76 tff(8594,plain,((~v124(constB111, bitIndex0)) | (~v145(constB111))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8595,plain,
% 135.11/85.76 (~v145(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8594, 8582])).
% 135.11/85.76 tff(8596,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB111)) | (~v124(constB111, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8597,plain,
% 135.11/85.76 (((~v172(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8598,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB111)) | (~v124(constB111, bitIndex0))))),
% 135.11/85.76 inference(monotonicity,[status(thm)],[8597])).
% 135.11/85.76 tff(8599,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB111)) | (~v124(constB111, bitIndex0)))),
% 135.11/85.76 inference(transitivity,[status(thm)],[8598, 8596])).
% 135.11/85.76 tff(8600,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB111)) | (~less_3(bitIndex0)) | (~v124(constB111, bitIndex0)) | b110(bitIndex0))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8601,plain,
% 135.11/85.76 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB111)) | (~v124(constB111, bitIndex0))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8600, 8599])).
% 135.11/85.76 tff(8602,plain,
% 135.11/85.76 (~v172(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8601, 1997, 1994, 795, 8582])).
% 135.11/85.76 tff(8603,plain,
% 135.11/85.76 (v123(constB112, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8546, 8568])).
% 135.11/85.76 tff(8604,plain,
% 135.11/85.76 (v121(constB111, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8398, 1362, 767, 7094, 8603])).
% 135.11/85.76 tff(8605,plain,
% 135.11/85.76 (v124(constB111, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8405, 1380, 767, 7083, 8604])).
% 135.11/85.76 tff(8606,plain,
% 135.11/85.76 (~v118(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8427, 2030, 2027, 767, 8605])).
% 135.11/85.76 tff(8607,assumption,(~v118(constB111)), introduced(assumption)).
% 135.11/85.76 tff(8608,plain,
% 135.11/85.76 (v84(constB111, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7268, 7027, 7259, 7250])).
% 135.11/85.76 tff(8609,plain,
% 135.11/85.76 ((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2))),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7276, 1018, 8607])).
% 135.11/85.76 tff(8610,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8609, 8608, 7027, 6988])).
% 135.11/85.76 tff(8611,plain,((~v84(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v118(constB111) | v116(constB111) | v145(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8612,plain,
% 135.11/85.76 (~v84(constB111, bitIndex0)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8611, 6988, 8607, 7259, 7250])).
% 135.11/85.76 tff(8613,plain,
% 135.11/85.76 (v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex2))),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7232, 1047, 7047])).
% 135.11/85.76 tff(8614,plain,
% 135.11/85.76 (~v84(constB111, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8613, 8612, 6988])).
% 135.11/85.76 tff(8615,assumption,(~v113(constB111)), introduced(assumption)).
% 135.11/85.76 tff(8616,plain,
% 135.11/85.76 (v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7191, 983, 8615])).
% 135.11/85.76 tff(8617,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8616, 8614, 8612, 6988])).
% 135.11/85.76 tff(8618,plain,(v84(constB111, bitIndex1) | v113(constB111) | v172(constB111) | v118(constB111) | v116(constB111) | v145(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8619,plain,
% 135.11/85.76 ($false),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8618, 8606, 8602, 6988, 8595, 8584, 8583])).
% 135.11/85.76 tff(8620,plain,(v84(constB111, bitIndex1) | (~v84(constB112, bitIndex2)) | (~v84(constB112, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.76 tff(8621,plain,
% 135.11/85.76 (v84(constB111, bitIndex1)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8620, 7320, 7406])).
% 135.11/85.76 tff(8622,plain,
% 135.11/85.76 (~v172(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7001, 8621])).
% 135.11/85.76 tff(8623,plain,
% 135.11/85.76 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB111)) | (~v84(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB111)) | (~v84(constB111, bitIndex1)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8624,plain,
% 135.11/85.76 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB111)) | (~v84(constB111, bitIndex1)))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8625,plain,
% 135.11/85.76 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB111)) | (~v84(constB111, bitIndex1))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8624, 8623])).
% 135.11/85.76 tff(8626,plain,
% 135.11/85.76 (~v113(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8625, 1465, 8621])).
% 135.11/85.76 tff(8627,plain,
% 135.11/85.76 (~v118(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[7040, 2842, 8621])).
% 135.11/85.76 tff(8628,plain,
% 135.11/85.76 (v123(constB112, bitIndex0)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8571, 8545, 7406])).
% 135.11/85.76 tff(8629,plain,
% 135.11/85.76 (v121(constB111, bitIndex0)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8576, 8628])).
% 135.11/85.76 tff(8630,plain,
% 135.11/85.76 (v124(constB111, bitIndex0)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8581, 8629])).
% 135.11/85.76 tff(8631,plain,
% 135.11/85.76 (~v116(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8456, 2386, 2164, 795, 8630])).
% 135.11/85.76 tff(8632,plain,
% 135.11/85.76 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB111)) | (~v84(constB111, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB111)) | (~v84(constB111, bitIndex1)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8633,plain,
% 135.11/85.76 (((~v84(constB111, bitIndex1)) | (~v145(constB111))) <=> ((~v145(constB111)) | (~v84(constB111, bitIndex1)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8634,plain,
% 135.11/85.76 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v145(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB111)) | (~v84(constB111, bitIndex1))))),
% 135.11/85.76 inference(monotonicity,[status(thm)],[8633])).
% 135.11/85.76 tff(8635,plain,
% 135.11/85.76 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v145(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB111)) | (~v84(constB111, bitIndex1)))),
% 135.11/85.76 inference(transitivity,[status(thm)],[8634, 8632])).
% 135.11/85.76 tff(8636,plain,
% 135.11/85.76 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB111, bitIndex1)) | (~v145(constB111)))),
% 135.11/85.76 inference(quant_inst,[status(thm)],[])).
% 135.11/85.76 tff(8637,plain,
% 135.11/85.76 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB111)) | (~v84(constB111, bitIndex1))),
% 135.11/85.76 inference(modus_ponens,[status(thm)],[8636, 8635])).
% 135.11/85.76 tff(8638,plain,
% 135.11/85.76 (~v145(constB111)),
% 135.11/85.76 inference(unit_resolution,[status(thm)],[8637, 816, 8621])).
% 135.11/85.76 tff(8639,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex1)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8640,plain,
% 135.11/85.76 ((v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex1)))),
% 135.11/85.76 inference(rewrite,[status(thm)],[])).
% 135.11/85.76 tff(8641,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex1))))),
% 135.11/85.76 inference(monotonicity,[status(thm)],[8640])).
% 135.11/85.76 tff(8642,plain,
% 135.11/85.76 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex1)))),
% 135.11/85.77 inference(transitivity,[status(thm)],[8641, 8639])).
% 135.11/85.77 tff(8643,plain,
% 135.11/85.77 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB111) | v145(constB111) | v115(constB111) | v116(constB111) | v172(constB111) | v118(constB111) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b001(bitIndex1))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8644,plain,
% 135.11/85.77 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB111) | v113(constB111) | v118(constB111) | v172(constB111) | v116(constB111) | v115(constB111) | (~v124(constB111, bitIndex1))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8643, 8642])).
% 135.11/85.77 tff(8645,plain,
% 135.11/85.77 (v115(constB111)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8644, 2601, 2424, 823, 8638, 8631, 8627, 8626, 8622, 8562])).
% 135.11/85.77 tff(8646,plain,
% 135.11/85.77 ($false),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8412, 2030, 2257, 767, 8645, 8549])).
% 135.11/85.77 tff(8647,plain,((~v94(constB112)) | (~v84(constB112, bitIndex2)) | (~v84(constB112, bitIndex1)) | (~v84(constB112, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.77 tff(8648,plain,
% 135.11/85.77 (~v84(constB112, bitIndex0)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8647, 8544, 8365, 8481])).
% 135.11/85.77 tff(8649,plain,
% 135.11/85.77 ($false),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8172, 1674, 795, 8545, 7109, 8574])).
% 135.11/85.77 tff(8650,plain,(v84(constB112, bitIndex0) | (~v94(constB112)) | (~v123(constB112, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.77 tff(8651,plain,
% 135.11/85.77 (~v123(constB112, bitIndex0)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8650, 8648, 8365])).
% 135.11/85.77 tff(8652,plain,
% 135.11/85.77 ($false),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8176, 1708, 795, 7094, 8578, 8569])).
% 135.11/85.77 tff(8653,plain,(v123(constB112, bitIndex0) | (~v121(constB111, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.77 tff(8654,plain,
% 135.11/85.77 (~v121(constB111, bitIndex0)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8653, 8651])).
% 135.11/85.77 tff(8655,plain,
% 135.11/85.77 ($false),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8183, 1728, 795, 7083, 8585, 8573])).
% 135.11/85.77 tff(8656,plain,(v121(constB111, bitIndex0) | (~v124(constB111, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.77 tff(8657,plain,
% 135.11/85.77 (~v124(constB111, bitIndex0)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8656, 8654])).
% 135.11/85.77 tff(8658,assumption,(v115(constB111)), introduced(assumption)).
% 135.11/85.77 tff(8659,plain,
% 135.11/85.77 ($false),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8190, 1148, 1193, 795, 8658, 8579])).
% 135.11/85.77 tff(8660,plain,(v124(constB111, bitIndex0) | (~v115(constB111))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.77 tff(8661,plain,
% 135.11/85.77 (~v115(constB111)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8660, 8657])).
% 135.11/85.77 tff(8662,plain,
% 135.11/85.77 (v123(constB112, bitIndex1)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8552, 1344, 823, 8365, 8481])).
% 135.11/85.77 tff(8663,assumption,(~v121(constB111, bitIndex1)), introduced(assumption)).
% 135.11/85.77 tff(8664,assumption,(v123(constB112, bitIndex1)), introduced(assumption)).
% 135.11/85.77 tff(8665,plain,
% 135.11/85.77 ($false),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8557, 1362, 823, 7094, 8664, 8663])).
% 135.11/85.77 tff(8666,plain,((~v123(constB112, bitIndex1)) | v121(constB111, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.77 tff(8667,plain,
% 135.11/85.77 (v121(constB111, bitIndex1)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8666, 8662])).
% 135.11/85.77 tff(8668,plain,
% 135.11/85.77 (v124(constB111, bitIndex1)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8561, 1380, 823, 7083, 8667])).
% 135.11/85.77 tff(8669,assumption,(v124(constB111, bitIndex1)), introduced(assumption)).
% 135.11/85.77 tff(8670,plain,
% 135.11/85.77 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB111)) | (~v124(constB111, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB111)) | (~v124(constB111, bitIndex1)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8671,plain,
% 135.11/85.77 (((~v113(constB111)) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB111)) | (~v124(constB111, bitIndex1)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8672,plain,
% 135.11/85.77 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB111)) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB111)) | (~v124(constB111, bitIndex1))))),
% 135.11/85.77 inference(monotonicity,[status(thm)],[8671])).
% 135.11/85.77 tff(8673,plain,
% 135.11/85.77 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB111)) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB111)) | (~v124(constB111, bitIndex1)))),
% 135.11/85.77 inference(transitivity,[status(thm)],[8672, 8670])).
% 135.11/85.77 tff(8674,plain,
% 135.11/85.77 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB111)) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b100(bitIndex1))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8675,plain,
% 135.11/85.77 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB111)) | (~v124(constB111, bitIndex1))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 135.11/85.77 tff(8676,plain,
% 135.11/85.77 ($false),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8675, 2167, 2186, 823, 8238, 8669])).
% 135.11/85.77 tff(8677,plain,((~v124(constB111, bitIndex1)) | (~v113(constB111))), inference(lemma,lemma(discharge,[]))).
% 135.11/85.77 tff(8678,plain,
% 135.11/85.77 (~v113(constB111)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8677, 8668])).
% 135.11/85.77 tff(8679,plain,
% 135.11/85.77 (v123(constB112, bitIndex2)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8394, 1344, 767, 8365, 8544])).
% 135.11/85.77 tff(8680,plain,
% 135.11/85.77 (v121(constB111, bitIndex2)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8398, 1362, 767, 7094, 8679])).
% 135.11/85.77 tff(8681,plain,
% 135.11/85.77 (v124(constB111, bitIndex2)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8405, 1380, 767, 7083, 8680])).
% 135.11/85.77 tff(8682,plain,
% 135.11/85.77 (~v118(constB111)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8427, 2030, 2027, 767, 8681])).
% 135.11/85.77 tff(8683,plain,
% 135.11/85.77 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB111)) | (~v124(constB111, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB111)) | (~v124(constB111, bitIndex1)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8684,plain,
% 135.11/85.77 (((~v116(constB111)) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB111)) | (~v124(constB111, bitIndex1)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8685,plain,
% 135.11/85.77 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB111)) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB111)) | (~v124(constB111, bitIndex1))))),
% 135.11/85.77 inference(monotonicity,[status(thm)],[8684])).
% 135.11/85.77 tff(8686,plain,
% 135.11/85.77 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB111)) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB111)) | (~v124(constB111, bitIndex1)))),
% 135.11/85.77 inference(transitivity,[status(thm)],[8685, 8683])).
% 135.11/85.77 tff(8687,plain,
% 135.11/85.77 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB111)) | (~less_3(bitIndex1)) | (~v124(constB111, bitIndex1)) | b100(bitIndex1))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8688,plain,
% 135.11/85.77 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB111)) | (~v124(constB111, bitIndex1))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8687, 8686])).
% 135.11/85.77 tff(8689,plain,
% 135.11/85.77 (~v116(constB111)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8688, 2167, 2164, 823, 8668])).
% 135.11/85.77 tff(8690,plain,
% 135.11/85.77 (~v145(constB111)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8420, 1419, 1416, 767, 8681])).
% 135.11/85.77 tff(8691,plain,
% 135.11/85.77 (v172(constB111)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8253, 1213, 1210, 795, 8690, 8689, 8682, 8678, 8661, 8657])).
% 135.11/85.77 tff(8692,plain,
% 135.11/85.77 (~v84(constB111, bitIndex1)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[7001, 8691])).
% 135.11/85.77 tff(8693,plain,
% 135.11/85.77 (~v84(constB110, bitIndex1)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[6993, 8692])).
% 135.11/85.77 tff(8694,plain,
% 135.11/85.77 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8695,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8696,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB109) | (~nextState(constB109, constB110)) | (~v98(constB110))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8695, 8694])).
% 135.11/85.77 tff(8697,plain,
% 135.11/85.77 (~v98(constB110)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8696, 541, 6752, 6726])).
% 135.11/85.77 tff(8698,plain,
% 135.11/85.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8699,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB109, constB110)) | v96(constB110) | v98(constB110))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8700,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB109, constB110)) | v96(constB110) | v98(constB110)),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 135.11/85.77 tff(8701,plain,
% 135.11/85.77 (v96(constB110) | v98(constB110)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8700, 555, 6752])).
% 135.11/85.77 tff(8702,plain,
% 135.11/85.77 (v96(constB110)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8701, 8697])).
% 135.11/85.77 tff(8703,plain,
% 135.11/85.77 (v1(constB110) <=> v1(constB110)),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8704,axiom,(v1(constB110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_110_1')).
% 135.11/85.77 tff(8705,plain,
% 135.11/85.77 (v1(constB110)),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8704, 8703])).
% 135.11/85.77 tff(8706,plain,
% 135.11/85.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8707,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8708,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB109, constB110)) | v95(constB110) | (~v96(constB110)) | (~v1(constB110))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8707, 8706])).
% 135.11/85.77 tff(8709,plain,
% 135.11/85.77 (v95(constB110) | (~v96(constB110))),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8708, 573, 6752, 8705])).
% 135.11/85.77 tff(8710,plain,
% 135.11/85.77 (v95(constB110)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8709, 8702])).
% 135.11/85.77 tff(8711,plain,
% 135.11/85.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8712,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8713,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB109, constB110)) | (~v95(constB110)) | (~v104(constB110)) | v94(constB110)),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8712, 8711])).
% 135.11/85.77 tff(8714,plain,
% 135.11/85.77 ((~v95(constB110)) | (~v104(constB110)) | v94(constB110)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8713, 588, 6752])).
% 135.11/85.77 tff(8715,plain,
% 135.11/85.77 ((~v104(constB110)) | v94(constB110)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8714, 8710])).
% 135.11/85.77 tff(8716,plain,
% 135.11/85.77 (~v104(constB110)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8715, 6749])).
% 135.11/85.77 tff(8717,plain,
% 135.11/85.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8718,plain,
% 135.11/85.77 (((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110)) <=> ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8719,plain,
% 135.11/85.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))))),
% 135.11/85.77 inference(monotonicity,[status(thm)],[8718])).
% 135.11/85.77 tff(8720,plain,
% 135.11/85.77 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109)))),
% 135.11/85.77 inference(transitivity,[status(thm)],[8719, 8717])).
% 135.11/85.77 tff(8721,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB109, constB110)) | (~v102(constB109)) | v104(constB110))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8722,plain,
% 135.11/85.77 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB109, constB110)) | v104(constB110) | (~v102(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 135.11/85.77 tff(8723,plain,
% 135.11/85.77 (v104(constB110) | (~v102(constB109))),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8722, 604, 6752])).
% 135.11/85.77 tff(8724,plain,
% 135.11/85.77 (~v102(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8723, 8716])).
% 135.11/85.77 tff(8725,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB109) | (~v106(constB109)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB109) | (~v106(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8726,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB109) | (~v106(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8727,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB109) | (~v106(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 135.11/85.77 tff(8728,plain,
% 135.11/85.77 (~v106(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8727, 619, 8724])).
% 135.11/85.77 tff(8729,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | v106(constB109) | (~v107(constB109)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | v106(constB109) | (~v107(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8730,plain,
% 135.11/85.77 ((v26(constB109) | (~v107(constB109)) | v106(constB109)) <=> (v26(constB109) | v106(constB109) | (~v107(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8731,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | v106(constB109) | (~v107(constB109))))),
% 135.11/85.77 inference(monotonicity,[status(thm)],[8730])).
% 135.11/85.77 tff(8732,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | v106(constB109) | (~v107(constB109)))),
% 135.11/85.77 inference(transitivity,[status(thm)],[8731, 8729])).
% 135.11/85.77 tff(8733,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB109) | (~v107(constB109)) | v106(constB109))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8734,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB109) | v106(constB109) | (~v107(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 135.11/85.77 tff(8735,plain,
% 135.11/85.77 (v106(constB109) | (~v107(constB109))),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8734, 644, 6903])).
% 135.11/85.77 tff(8736,plain,
% 135.11/85.77 (~v107(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8735, 8728])).
% 135.11/85.77 tff(8737,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB109) | (~v108(constB109)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB109) | (~v108(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8738,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB109) | (~v108(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8739,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB109) | (~v108(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8738, 8737])).
% 135.11/85.77 tff(8740,plain,
% 135.11/85.77 (~v108(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8739, 658, 8736])).
% 135.11/85.77 tff(8741,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB109) | (~v109(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB109) | (~v109(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8742,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB109) | (~v109(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8743,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB109) | (~v109(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8742, 8741])).
% 135.11/85.77 tff(8744,plain,
% 135.11/85.77 (~v109(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8743, 669, 8740])).
% 135.11/85.77 tff(8745,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB109) | (~v110(constB109)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB109) | (~v110(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8746,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB109) | (~v110(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8747,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB109) | (~v110(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8746, 8745])).
% 135.11/85.77 tff(8748,plain,
% 135.11/85.77 (~v110(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8747, 680, 8744])).
% 135.11/85.77 tff(8749,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB109) | (~v116(constB109)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB109) | (~v116(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8750,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB109) | (~v116(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8751,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB109) | (~v116(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8750, 8749])).
% 135.11/85.77 tff(8752,plain,
% 135.11/85.77 (~v116(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8751, 934, 8748])).
% 135.11/85.77 tff(8753,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB109) | (~v111(constB109)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB109) | (~v111(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8754,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB109) | (~v111(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8755,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB109) | (~v111(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8754, 8753])).
% 135.11/85.77 tff(8756,plain,
% 135.11/85.77 (~v111(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8755, 691, 8748])).
% 135.11/85.77 tff(8757,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB109) | (~v112(constB109)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB109) | (~v112(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8758,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB109) | (~v112(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8759,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB109) | (~v112(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8758, 8757])).
% 135.11/85.77 tff(8760,plain,
% 135.11/85.77 (~v112(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8759, 702, 8756])).
% 135.11/85.77 tff(8761,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB109) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB109) | (~v145(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8762,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB109) | (~v145(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8763,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB109) | (~v145(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8762, 8761])).
% 135.11/85.77 tff(8764,plain,
% 135.11/85.77 (~v145(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8763, 713, 8760])).
% 135.11/85.77 tff(8765,plain,
% 135.11/85.77 (~v84(constB109, bitIndex2)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[6760, 6749, 6561])).
% 135.11/85.77 tff(8766,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB109) | (~v113(constB109)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB109) | (~v113(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8767,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB109) | (~v113(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8768,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB109) | (~v113(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8767, 8766])).
% 135.11/85.77 tff(8769,plain,
% 135.11/85.77 (~v113(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8768, 969, 8760])).
% 135.11/85.77 tff(8770,assumption,(~v145(constB109)), introduced(assumption)).
% 135.11/85.77 tff(8771,plain,
% 135.11/85.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB109) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB109) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8772,plain,
% 135.11/85.77 (((~v84(constB109, bitIndex0)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | v145(constB109)) <=> (v145(constB109) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8773,plain,
% 135.11/85.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB109, bitIndex0)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | v145(constB109))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB109) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0))))),
% 135.11/85.77 inference(monotonicity,[status(thm)],[8772])).
% 135.11/85.77 tff(8774,plain,
% 135.11/85.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB109, bitIndex0)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | v145(constB109))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB109) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)))),
% 135.11/85.77 inference(transitivity,[status(thm)],[8773, 8771])).
% 135.11/85.77 tff(8775,plain,
% 135.11/85.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB109, bitIndex0)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | v145(constB109))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8776,plain,
% 135.11/85.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB109) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8775, 8774])).
% 135.11/85.77 tff(8777,plain,
% 135.11/85.77 (v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0))),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8776, 865, 8770])).
% 135.11/85.77 tff(8778,plain,
% 135.11/85.77 (~v84(constB109, bitIndex0)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8777, 6818, 6723])).
% 135.11/85.77 tff(8779,assumption,(~v113(constB109)), introduced(assumption)).
% 135.11/85.77 tff(8780,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB109) | v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB109) | v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8781,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB109) | v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8782,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB109) | v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2)),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8781, 8780])).
% 135.11/85.77 tff(8783,plain,
% 135.11/85.77 (v84(constB109, bitIndex0) | v84(constB109, bitIndex1)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8782, 983, 6723, 8779])).
% 135.11/85.77 tff(8784,plain,
% 135.11/85.77 ($false),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8783, 8778, 6818])).
% 135.11/85.77 tff(8785,plain,(v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | v113(constB109) | v145(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.77 tff(8786,plain,
% 135.11/85.77 (v84(constB109, bitIndex1)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8785, 8769, 8765, 8764])).
% 135.11/85.77 tff(8787,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB109) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB109) | (~v115(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8788,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB109) | (~v115(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8789,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB109) | (~v115(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8788, 8787])).
% 135.11/85.77 tff(8790,plain,
% 135.11/85.77 (~v115(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8789, 945, 8756])).
% 135.11/85.77 tff(8791,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB109) | (~v119(constB109)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB109) | (~v119(constB109)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8792,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB109) | (~v119(constB109)))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.77 tff(8793,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB109) | (~v119(constB109))),
% 135.11/85.77 inference(modus_ponens,[status(thm)],[8792, 8791])).
% 135.11/85.77 tff(8794,plain,
% 135.11/85.77 (~v119(constB109)),
% 135.11/85.77 inference(unit_resolution,[status(thm)],[8793, 1927, 8736])).
% 135.11/85.77 tff(8795,assumption,(~v119(constB109)), introduced(assumption)).
% 135.11/85.77 tff(8796,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB109) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB109) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8797,plain,
% 135.11/85.77 ((v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109)) <=> (v119(constB109) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)))),
% 135.11/85.77 inference(rewrite,[status(thm)],[])).
% 135.11/85.77 tff(8798,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB109) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2))))),
% 135.11/85.77 inference(monotonicity,[status(thm)],[8797])).
% 135.11/85.77 tff(8799,plain,
% 135.11/85.77 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB109) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)))),
% 135.11/85.77 inference(transitivity,[status(thm)],[8798, 8796])).
% 135.11/85.77 tff(8800,plain,
% 135.11/85.77 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)) | v119(constB109))),
% 135.11/85.77 inference(quant_inst,[status(thm)],[])).
% 135.11/85.78 tff(8801,plain,
% 135.11/85.78 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB109) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2))),
% 135.11/85.78 inference(modus_ponens,[status(thm)],[8800, 8799])).
% 135.11/85.78 tff(8802,plain,
% 135.11/85.78 (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2))),
% 135.11/85.78 inference(unit_resolution,[status(thm)],[8801, 1910, 8795])).
% 135.11/85.78 tff(8803,plain,
% 135.11/85.78 (~v84(constB109, bitIndex2)),
% 135.11/85.78 inference(unit_resolution,[status(thm)],[8802, 6778, 6825])).
% 135.11/85.78 tff(8804,assumption,(~v115(constB109)), introduced(assumption)).
% 135.11/85.78 tff(8805,plain,
% 135.11/85.78 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))),
% 135.11/85.78 inference(rewrite,[status(thm)],[])).
% 135.11/85.78 tff(8806,plain,
% 135.11/85.78 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109))),
% 135.11/85.78 inference(quant_inst,[status(thm)],[])).
% 135.11/85.78 tff(8807,plain,
% 135.11/85.78 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v115(constB109)),
% 135.11/85.78 inference(modus_ponens,[status(thm)],[8806, 8805])).
% 135.11/85.78 tff(8808,plain,
% 135.11/85.78 (v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2)),
% 135.11/85.78 inference(unit_resolution,[status(thm)],[8807, 1095, 8804])).
% 135.11/85.78 tff(8809,plain,
% 135.11/85.78 ($false),
% 135.11/85.78 inference(unit_resolution,[status(thm)],[8808, 8803, 6778, 6825])).
% 135.11/85.78 tff(8810,plain,(v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | v115(constB109) | v119(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.11/85.78 tff(8811,plain,
% 135.11/85.78 (v84(constB109, bitIndex0)),
% 135.11/85.78 inference(unit_resolution,[status(thm)],[8810, 8786, 8794, 8790])).
% 135.11/85.78 tff(8812,plain,
% 135.11/85.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)) | v116(constB109))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)) | v116(constB109))),
% 135.11/85.78 inference(rewrite,[status(thm)],[])).
% 135.11/85.78 tff(8813,plain,
% 135.11/85.78 (((~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v116(constB109)) <=> ((~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)) | v116(constB109))),
% 135.11/85.78 inference(rewrite,[status(thm)],[])).
% 135.11/85.78 tff(8814,plain,
% 135.11/85.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v116(constB109))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)) | v116(constB109)))),
% 135.11/85.78 inference(monotonicity,[status(thm)],[8813])).
% 135.11/85.78 tff(8815,plain,
% 135.11/85.78 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v116(constB109))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)) | v116(constB109))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8814, 8812])).
% 135.14/85.78 tff(8816,plain,
% 135.14/85.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | v116(constB109))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8817,plain,
% 135.14/85.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)) | v116(constB109)),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8816, 8815])).
% 135.14/85.78 tff(8818,plain,
% 135.14/85.78 ((~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex0)) | v116(constB109)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8817, 1076, 8765])).
% 135.14/85.78 tff(8819,plain,
% 135.14/85.78 ($false),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8818, 8811, 8786, 8752])).
% 135.14/85.78 tff(8820,plain,(v94(constB110) | v84(constB110, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.78 tff(8821,plain,
% 135.14/85.78 (v84(constB110, bitIndex2)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8820, 6749])).
% 135.14/85.78 tff(8822,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB110, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB110, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8823,plain,
% 135.14/85.78 (((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB110, bitIndex2)) | v84(constB109, bitIndex2)) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB110, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8824,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB110, bitIndex2)) | v84(constB109, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB110, bitIndex2))))),
% 135.14/85.78 inference(monotonicity,[status(thm)],[8823])).
% 135.14/85.78 tff(8825,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB110, bitIndex2)) | v84(constB109, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB110, bitIndex2)))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8824, 8822])).
% 135.14/85.78 tff(8826,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | (~v84(constB110, bitIndex2)) | v84(constB109, bitIndex2))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8827,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex2)) | v84(constB109, bitIndex2) | (~v84(constB110, bitIndex2))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8826, 8825])).
% 135.14/85.78 tff(8828,plain,
% 135.14/85.78 ($false),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8827, 805, 767, 6752, 6749, 6723, 8821])).
% 135.14/85.78 tff(8829,plain,(v94(constB110) | v84(constB109, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.78 tff(8830,plain,
% 135.14/85.78 (v94(constB110)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8829, 6723])).
% 135.14/85.78 tff(8831,assumption,(v123(constB110, bitIndex1)), introduced(assumption)).
% 135.14/85.78 tff(8832,assumption,(v94(constB110)), introduced(assumption)).
% 135.14/85.78 tff(8833,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v84(constB110, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v84(constB110, bitIndex1))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8834,plain,
% 135.14/85.78 (((~less_3(bitIndex1)) | (~v94(constB110)) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1))) <=> ((~v94(constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v84(constB110, bitIndex1))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8835,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB110)) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v84(constB110, bitIndex1)))),
% 135.14/85.78 inference(monotonicity,[status(thm)],[8834])).
% 135.14/85.78 tff(8836,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB110)) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v84(constB110, bitIndex1))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8835, 8833])).
% 135.14/85.78 tff(8837,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB110)) | v84(constB110, bitIndex1) | (~v123(constB110, bitIndex1)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8838,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v84(constB110, bitIndex1)),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8837, 8836])).
% 135.14/85.78 tff(8839,plain,
% 135.14/85.78 ($false),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8838, 1674, 823, 8832, 8831, 6973])).
% 135.14/85.78 tff(8840,plain,(v84(constB110, bitIndex1) | (~v94(constB110)) | (~v123(constB110, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.14/85.78 tff(8841,plain,
% 135.14/85.78 (~v123(constB110, bitIndex1)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8840, 8830, 6973])).
% 135.14/85.78 tff(8842,plain,
% 135.14/85.78 (~v84(constB108, bitIndex2)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[6746, 6723])).
% 135.14/85.78 tff(8843,plain,
% 135.14/85.78 (v94(constB108)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[6720, 8842])).
% 135.14/85.78 tff(8844,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB108)) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8845,plain,
% 135.14/85.78 (((~less_3(bitIndex2)) | (~v94(constB108)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2))) <=> ((~v94(constB108)) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8846,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB108)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB108)) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2))))),
% 135.14/85.78 inference(monotonicity,[status(thm)],[8845])).
% 135.14/85.78 tff(8847,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB108)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8846, 8844])).
% 135.14/85.78 tff(8848,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB108)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8849,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex2)) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 135.14/85.78 tff(8850,plain,
% 135.14/85.78 (~v123(constB108, bitIndex2)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8849, 1674, 767, 6505, 6639])).
% 135.14/85.78 tff(8851,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex2)) | v123(constB108, bitIndex2) | (~v121(constB107, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex2)) | v123(constB108, bitIndex2) | (~v121(constB107, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8852,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex2)) | v123(constB108, bitIndex2) | (~v121(constB107, bitIndex2)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8853,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex2)) | v123(constB108, bitIndex2) | (~v121(constB107, bitIndex2))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 135.14/85.78 tff(8854,plain,
% 135.14/85.78 (~v121(constB107, bitIndex2)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8853, 1708, 767, 6567, 8850])).
% 135.14/85.78 tff(8855,plain,
% 135.14/85.78 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex2)) | v121(constB107, bitIndex2) | (~v124(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex2)) | v121(constB107, bitIndex2) | (~v124(constB107, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8856,plain,
% 135.14/85.78 ((v26(constB107) | v121(constB107, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2))) <=> (v26(constB107) | (~less_3(bitIndex2)) | v121(constB107, bitIndex2) | (~v124(constB107, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8857,plain,
% 135.14/85.78 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex2)) | v121(constB107, bitIndex2) | (~v124(constB107, bitIndex2))))),
% 135.14/85.78 inference(monotonicity,[status(thm)],[8856])).
% 135.14/85.78 tff(8858,plain,
% 135.14/85.78 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex2)) | v121(constB107, bitIndex2) | (~v124(constB107, bitIndex2)))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8857, 8855])).
% 135.14/85.78 tff(8859,plain,
% 135.14/85.78 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8860,plain,
% 135.14/85.78 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex2)) | v121(constB107, bitIndex2) | (~v124(constB107, bitIndex2))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8859, 8858])).
% 135.14/85.78 tff(8861,plain,
% 135.14/85.78 (~v124(constB107, bitIndex2)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8860, 1728, 767, 6606, 8854])).
% 135.14/85.78 tff(8862,assumption,(v113(constB107)), introduced(assumption)).
% 135.14/85.78 tff(8863,plain,
% 135.14/85.78 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8864,plain,
% 135.14/85.78 (((~v113(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v113(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8865,plain,
% 135.14/85.78 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2)))),
% 135.14/85.78 inference(monotonicity,[status(thm)],[8864])).
% 135.14/85.78 tff(8866,plain,
% 135.14/85.78 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8865, 8863])).
% 135.14/85.78 tff(8867,plain,
% 135.14/85.78 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b100(bitIndex2)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8868,plain,
% 135.14/85.78 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2)),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 135.14/85.78 tff(8869,plain,
% 135.14/85.78 ($false),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8868, 1772, 1838, 767, 8862, 8861])).
% 135.14/85.78 tff(8870,plain,((~v113(constB107)) | (~v94(constB108)) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.78 tff(8871,plain,
% 135.14/85.78 (~v113(constB107)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8870, 8842, 8843])).
% 135.14/85.78 tff(8872,plain,
% 135.14/85.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v94(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v94(constB108)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8873,plain,
% 135.14/85.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB107, constB108)) | v104(constB108) | (~v94(constB108)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8874,plain,
% 135.14/85.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB107, constB108)) | v104(constB108) | (~v94(constB108))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8873, 8872])).
% 135.14/85.78 tff(8875,plain,
% 135.14/85.78 (v104(constB108) | (~v94(constB108))),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8874, 3113, 6567])).
% 135.14/85.78 tff(8876,plain,
% 135.14/85.78 (v104(constB108)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8875, 8843])).
% 135.14/85.78 tff(8877,plain,
% 135.14/85.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB107, constB108)) | (~v104(constB108)) | v102(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB107, constB108)) | (~v104(constB108)) | v102(constB107))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8878,plain,
% 135.14/85.78 (((~nextState(constB107, constB108)) | v102(constB107) | (~v104(constB108))) <=> ((~nextState(constB107, constB108)) | (~v104(constB108)) | v102(constB107))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8879,plain,
% 135.14/85.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB107, constB108)) | v102(constB107) | (~v104(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB107, constB108)) | (~v104(constB108)) | v102(constB107)))),
% 135.14/85.78 inference(monotonicity,[status(thm)],[8878])).
% 135.14/85.78 tff(8880,plain,
% 135.14/85.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB107, constB108)) | v102(constB107) | (~v104(constB108)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB107, constB108)) | (~v104(constB108)) | v102(constB107))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8879, 8877])).
% 135.14/85.78 tff(8881,plain,
% 135.14/85.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB107, constB108)) | v102(constB107) | (~v104(constB108)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8882,plain,
% 135.14/85.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB107, constB108)) | (~v104(constB108)) | v102(constB107)),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 135.14/85.78 tff(8883,plain,
% 135.14/85.78 ((~v104(constB108)) | v102(constB107)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8882, 3128, 6567])).
% 135.14/85.78 tff(8884,plain,
% 135.14/85.78 (v102(constB107)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8883, 8876])).
% 135.14/85.78 tff(8885,plain,
% 135.14/85.78 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB107)) | v26(constB107) | v106(constB107))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB107)) | v26(constB107) | v106(constB107))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8886,plain,
% 135.14/85.78 ((v26(constB107) | v106(constB107) | (~v102(constB107))) <=> ((~v102(constB107)) | v26(constB107) | v106(constB107))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8887,plain,
% 135.14/85.78 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB107) | v106(constB107) | (~v102(constB107)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB107)) | v26(constB107) | v106(constB107)))),
% 135.14/85.78 inference(monotonicity,[status(thm)],[8886])).
% 135.14/85.78 tff(8888,plain,
% 135.14/85.78 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB107) | v106(constB107) | (~v102(constB107)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB107)) | v26(constB107) | v106(constB107))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8887, 8885])).
% 135.14/85.78 tff(8889,plain,
% 135.14/85.78 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB107) | v106(constB107) | (~v102(constB107)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8890,plain,
% 135.14/85.78 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB107)) | v26(constB107) | v106(constB107)),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8889, 8888])).
% 135.14/85.78 tff(8891,plain,
% 135.14/85.78 ((~v102(constB107)) | v106(constB107)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8890, 3146, 6606])).
% 135.14/85.78 tff(8892,plain,
% 135.14/85.78 (v106(constB107)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8891, 8884])).
% 135.14/85.78 tff(8893,plain,
% 135.14/85.78 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB107) | (~v106(constB107)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB107) | (~v106(constB107)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8894,plain,
% 135.14/85.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB107) | (~v106(constB107)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8895,plain,
% 135.14/85.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB107) | (~v106(constB107))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8894, 8893])).
% 135.14/85.78 tff(8896,plain,
% 135.14/85.78 (v107(constB107)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8895, 3161, 8892])).
% 135.14/85.78 tff(8897,assumption,(v113(constB105)), introduced(assumption)).
% 135.14/85.78 tff(8898,assumption,(v94(constB104)), introduced(assumption)).
% 135.14/85.78 tff(8899,assumption,(~v121(constB103, bitIndex0)), introduced(assumption)).
% 135.14/85.78 tff(8900,plain,
% 135.14/85.78 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB105)) | (~v84(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB105)) | (~v84(constB105, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8901,plain,
% 135.14/85.78 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB105)) | (~v84(constB105, bitIndex2)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8902,plain,
% 135.14/85.78 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB105)) | (~v84(constB105, bitIndex2))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8901, 8900])).
% 135.14/85.78 tff(8903,plain,
% 135.14/85.78 (~v84(constB105, bitIndex2)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8902, 1119, 8897])).
% 135.14/85.78 tff(8904,assumption,(~v84(constB105, bitIndex2)), introduced(assumption)).
% 135.14/85.78 tff(8905,assumption,(v84(constB104, bitIndex2)), introduced(assumption)).
% 135.14/85.78 tff(8906,plain,
% 135.14/85.78 ((~v1(constB105)) <=> (~v1(constB105))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8907,axiom,(~v1(constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_105_1_1')).
% 135.14/85.78 tff(8908,plain,
% 135.14/85.78 (~v1(constB105)),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8907, 8906])).
% 135.14/85.78 tff(8909,plain,
% 135.14/85.78 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8910,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_104_1')).
% 135.14/85.78 tff(8911,plain,
% 135.14/85.78 (nextState(constB104, constB105)),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8910, 8909])).
% 135.14/85.78 tff(8912,plain,
% 135.14/85.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8913,plain,
% 135.14/85.78 (((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105)) <=> (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8914,plain,
% 135.14/85.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))))),
% 135.14/85.78 inference(monotonicity,[status(thm)],[8913])).
% 135.14/85.78 tff(8915,plain,
% 135.14/85.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105)))),
% 135.14/85.78 inference(transitivity,[status(thm)],[8914, 8912])).
% 135.14/85.78 tff(8916,plain,
% 135.14/85.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB104, constB105)) | (~v95(constB105)) | v1(constB105))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8917,plain,
% 135.14/85.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB105) | (~nextState(constB104, constB105)) | (~v95(constB105))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8916, 8915])).
% 135.14/85.78 tff(8918,plain,
% 135.14/85.78 (~v95(constB105)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8917, 742, 8911, 8908])).
% 135.14/85.78 tff(8919,plain,
% 135.14/85.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8920,plain,
% 135.14/85.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8921,plain,
% 135.14/85.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB104, constB105)) | v95(constB105) | (~v94(constB105))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 135.14/85.78 tff(8922,plain,
% 135.14/85.78 (v95(constB105) | (~v94(constB105))),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8921, 759, 8911])).
% 135.14/85.78 tff(8923,plain,
% 135.14/85.78 (~v94(constB105)),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8922, 8918])).
% 135.14/85.78 tff(8924,plain,
% 135.14/85.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB104, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB104, bitIndex2)))),
% 135.14/85.78 inference(rewrite,[status(thm)],[])).
% 135.14/85.78 tff(8925,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB104, bitIndex2)))),
% 135.14/85.78 inference(quant_inst,[status(thm)],[])).
% 135.14/85.78 tff(8926,plain,
% 135.14/85.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB104, bitIndex2))),
% 135.14/85.78 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 135.14/85.78 tff(8927,plain,
% 135.14/85.78 ($false),
% 135.14/85.78 inference(unit_resolution,[status(thm)],[8926, 777, 767, 8911, 8923, 8905, 8904])).
% 135.14/85.79 tff(8928,plain,(v84(constB105, bitIndex2) | (~v84(constB104, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.14/85.79 tff(8929,plain,
% 135.14/85.79 (~v84(constB104, bitIndex2)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8928, 8903])).
% 135.14/85.79 tff(8930,plain,
% 135.14/85.79 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB105)) | (~v84(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB105)) | (~v84(constB105, bitIndex1)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8931,plain,
% 135.14/85.79 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB105)) | (~v84(constB105, bitIndex1)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8932,plain,
% 135.14/85.79 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB105)) | (~v84(constB105, bitIndex1))),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 135.14/85.79 tff(8933,plain,
% 135.14/85.79 (~v84(constB105, bitIndex1)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8932, 1465, 8897])).
% 135.14/85.79 tff(8934,assumption,(v84(constB104, bitIndex1)), introduced(assumption)).
% 135.14/85.79 tff(8935,assumption,(~v84(constB105, bitIndex1)), introduced(assumption)).
% 135.14/85.79 tff(8936,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB104, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB104, bitIndex1)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8937,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB104, bitIndex1)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8938,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB104, bitIndex1))),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 135.14/85.79 tff(8939,plain,
% 135.14/85.79 ($false),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8938, 777, 823, 8911, 8923, 8935, 8934])).
% 135.14/85.79 tff(8940,plain,(v84(constB105, bitIndex1) | (~v84(constB104, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.14/85.79 tff(8941,plain,
% 135.14/85.79 (~v84(constB104, bitIndex1)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8940, 8933])).
% 135.14/85.79 tff(8942,assumption,(v26(constB103)), introduced(assumption)).
% 135.14/85.79 tff(8943,plain,
% 135.14/85.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8944,plain,
% 135.14/85.79 ($false),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8943, 1172, 8942])).
% 135.14/85.79 tff(8945,plain,(~v26(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.79 tff(8946,assumption,(~v26(constB103)), introduced(assumption)).
% 135.14/85.79 tff(8947,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | v121(constB103, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | v121(constB103, bitIndex0))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8948,plain,
% 135.14/85.79 ((v26(constB103) | v121(constB103, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0))) <=> (v26(constB103) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | v121(constB103, bitIndex0))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8949,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | v121(constB103, bitIndex0)))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[8948])).
% 135.14/85.79 tff(8950,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | v121(constB103, bitIndex0))),
% 135.14/85.79 inference(transitivity,[status(thm)],[8949, 8947])).
% 135.14/85.79 tff(8951,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8952,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | v121(constB103, bitIndex0)),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8951, 8950])).
% 135.14/85.79 tff(8953,plain,
% 135.14/85.79 (~v124(constB103, bitIndex0)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8952, 1728, 795, 8946, 8899])).
% 135.14/85.79 tff(8954,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB103)) | v124(constB103, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB103)) | v124(constB103, bitIndex0))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8955,plain,
% 135.14/85.79 (((~v115(constB103)) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB103)) | v124(constB103, bitIndex0))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8956,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB103)) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB103)) | v124(constB103, bitIndex0)))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[8955])).
% 135.14/85.79 tff(8957,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB103)) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB103)) | v124(constB103, bitIndex0))),
% 135.14/85.79 inference(transitivity,[status(thm)],[8956, 8954])).
% 135.14/85.79 tff(8958,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB103)) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b011(bitIndex0)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8959,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB103)) | v124(constB103, bitIndex0)),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8958, 8957])).
% 135.14/85.79 tff(8960,plain,
% 135.14/85.79 (~v115(constB103)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8959, 1148, 1193, 795, 8953])).
% 135.14/85.79 tff(8961,assumption,(~v84(constB104, bitIndex2)), introduced(assumption)).
% 135.14/85.79 tff(8962,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB104)) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8963,plain,
% 135.14/85.79 (((~less_3(bitIndex2)) | (~v94(constB104)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2))) <=> ((~v94(constB104)) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8964,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB104)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB104)) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2))))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[8963])).
% 135.14/85.79 tff(8965,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB104)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)))),
% 135.14/85.79 inference(transitivity,[status(thm)],[8964, 8962])).
% 135.14/85.79 tff(8966,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB104)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8967,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2))),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8966, 8965])).
% 135.14/85.79 tff(8968,plain,
% 135.14/85.79 (~v123(constB104, bitIndex2)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8967, 1674, 767, 8898, 8961])).
% 135.14/85.79 tff(8969,assumption,(~v123(constB104, bitIndex2)), introduced(assumption)).
% 135.14/85.79 tff(8970,assumption,(v121(constB103, bitIndex2)), introduced(assumption)).
% 135.14/85.79 tff(8971,plain,
% 135.14/85.79 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8972,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_103_1')).
% 135.14/85.79 tff(8973,plain,
% 135.14/85.79 (nextState(constB103, constB104)),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 135.14/85.79 tff(8974,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex2)) | v123(constB104, bitIndex2) | (~v121(constB103, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex2)) | v123(constB104, bitIndex2) | (~v121(constB103, bitIndex2)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8975,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex2)) | v123(constB104, bitIndex2) | (~v121(constB103, bitIndex2)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8976,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex2)) | v123(constB104, bitIndex2) | (~v121(constB103, bitIndex2))),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 135.14/85.79 tff(8977,plain,
% 135.14/85.79 ($false),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8976, 1708, 767, 8973, 8970, 8969])).
% 135.14/85.79 tff(8978,plain,(v123(constB104, bitIndex2) | (~v121(constB103, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.14/85.79 tff(8979,plain,
% 135.14/85.79 (~v121(constB103, bitIndex2)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8978, 8968])).
% 135.14/85.79 tff(8980,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex2)) | v121(constB103, bitIndex2) | (~v124(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex2)) | v121(constB103, bitIndex2) | (~v124(constB103, bitIndex2)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8981,plain,
% 135.14/85.79 ((v26(constB103) | v121(constB103, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2))) <=> (v26(constB103) | (~less_3(bitIndex2)) | v121(constB103, bitIndex2) | (~v124(constB103, bitIndex2)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8982,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex2)) | v121(constB103, bitIndex2) | (~v124(constB103, bitIndex2))))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[8981])).
% 135.14/85.79 tff(8983,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex2)) | v121(constB103, bitIndex2) | (~v124(constB103, bitIndex2)))),
% 135.14/85.79 inference(transitivity,[status(thm)],[8982, 8980])).
% 135.14/85.79 tff(8984,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8985,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex2)) | v121(constB103, bitIndex2) | (~v124(constB103, bitIndex2))),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8984, 8983])).
% 135.14/85.79 tff(8986,plain,
% 135.14/85.79 (~v124(constB103, bitIndex2)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8985, 1728, 767, 8946, 8979])).
% 135.14/85.79 tff(8987,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB103)) | v124(constB103, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8988,plain,
% 135.14/85.79 (((~v116(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8989,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB103)) | v124(constB103, bitIndex2)))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[8988])).
% 135.14/85.79 tff(8990,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(transitivity,[status(thm)],[8989, 8987])).
% 135.14/85.79 tff(8991,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b100(bitIndex2)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(8992,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB103)) | v124(constB103, bitIndex2)),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[8991, 8990])).
% 135.14/85.79 tff(8993,plain,
% 135.14/85.79 (~v116(constB103)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[8992, 1772, 1769, 767, 8986])).
% 135.14/85.79 tff(8994,assumption,(~v124(constB103, bitIndex2)), introduced(assumption)).
% 135.14/85.79 tff(8995,assumption,(v113(constB103)), introduced(assumption)).
% 135.14/85.79 tff(8996,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB103)) | v124(constB103, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8997,plain,
% 135.14/85.79 (((~v113(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(8998,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB103)) | v124(constB103, bitIndex2)))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[8997])).
% 135.14/85.79 tff(8999,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(transitivity,[status(thm)],[8998, 8996])).
% 135.14/85.79 tff(9000,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b100(bitIndex2)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(9001,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB103)) | v124(constB103, bitIndex2)),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 135.14/85.79 tff(9002,plain,
% 135.14/85.79 ($false),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[9001, 1772, 1838, 767, 8995, 8994])).
% 135.14/85.79 tff(9003,plain,(v124(constB103, bitIndex2) | (~v113(constB103))), inference(lemma,lemma(discharge,[]))).
% 135.14/85.79 tff(9004,plain,
% 135.14/85.79 (~v113(constB103)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[9003, 8986])).
% 135.14/85.79 tff(9005,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB103)) | v124(constB103, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB103)) | v124(constB103, bitIndex0))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9006,plain,
% 135.14/85.79 (((~v118(constB103)) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB103)) | v124(constB103, bitIndex0))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9007,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB103)) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB103)) | v124(constB103, bitIndex0)))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[9006])).
% 135.14/85.79 tff(9008,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB103)) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB103)) | v124(constB103, bitIndex0))),
% 135.14/85.79 inference(transitivity,[status(thm)],[9007, 9005])).
% 135.14/85.79 tff(9009,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB103)) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b011(bitIndex0)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(9010,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB103)) | v124(constB103, bitIndex0)),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[9009, 9008])).
% 135.14/85.79 tff(9011,plain,
% 135.14/85.79 (~v118(constB103)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[9010, 1148, 1145, 795, 8953])).
% 135.14/85.79 tff(9012,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB103)) | v124(constB103, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9013,plain,
% 135.14/85.79 (((~v172(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9014,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB103)) | v124(constB103, bitIndex2)))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[9013])).
% 135.14/85.79 tff(9015,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB103)) | v124(constB103, bitIndex2))),
% 135.14/85.79 inference(transitivity,[status(thm)],[9014, 9012])).
% 135.14/85.79 tff(9016,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB103)) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~b110(bitIndex2)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(9017,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB103)) | v124(constB103, bitIndex2)),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 135.14/85.79 tff(9018,plain,
% 135.14/85.79 (~v172(constB103)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[9017, 2066, 1798, 767, 8986])).
% 135.14/85.79 tff(9019,assumption,(~v84(constB104, bitIndex1)), introduced(assumption)).
% 135.14/85.79 tff(9020,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB104)) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9021,plain,
% 135.14/85.79 (((~less_3(bitIndex1)) | (~v94(constB104)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1))) <=> ((~v94(constB104)) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9022,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB104)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB104)) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1))))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[9021])).
% 135.14/85.79 tff(9023,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB104)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)))),
% 135.14/85.79 inference(transitivity,[status(thm)],[9022, 9020])).
% 135.14/85.79 tff(9024,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB104)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(9025,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v123(constB104, bitIndex1))),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 135.14/85.79 tff(9026,plain,
% 135.14/85.79 (~v123(constB104, bitIndex1)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[9025, 1674, 823, 8898, 9019])).
% 135.14/85.79 tff(9027,plain,
% 135.14/85.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex1)) | v123(constB104, bitIndex1) | (~v121(constB103, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex1)) | v123(constB104, bitIndex1) | (~v121(constB103, bitIndex1)))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9028,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex1)) | v123(constB104, bitIndex1) | (~v121(constB103, bitIndex1)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(9029,plain,
% 135.14/85.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex1)) | v123(constB104, bitIndex1) | (~v121(constB103, bitIndex1))),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 135.14/85.79 tff(9030,plain,
% 135.14/85.79 (~v121(constB103, bitIndex1)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[9029, 1708, 823, 8973, 9026])).
% 135.14/85.79 tff(9031,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9032,plain,
% 135.14/85.79 ((v26(constB103) | v121(constB103, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1))) <=> (v26(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9033,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1)))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[9032])).
% 135.14/85.79 tff(9034,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1))),
% 135.14/85.79 inference(transitivity,[status(thm)],[9033, 9031])).
% 135.14/85.79 tff(9035,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB103) | v121(constB103, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(9036,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | v121(constB103, bitIndex1)),
% 135.14/85.79 inference(modus_ponens,[status(thm)],[9035, 9034])).
% 135.14/85.79 tff(9037,plain,
% 135.14/85.79 (~v124(constB103, bitIndex1)),
% 135.14/85.79 inference(unit_resolution,[status(thm)],[9036, 1728, 823, 8946, 9030])).
% 135.14/85.79 tff(9038,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB103)) | v124(constB103, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB103)) | v124(constB103, bitIndex1))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9039,plain,
% 135.14/85.79 (((~v145(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB103)) | v124(constB103, bitIndex1))),
% 135.14/85.79 inference(rewrite,[status(thm)],[])).
% 135.14/85.79 tff(9040,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB103)) | v124(constB103, bitIndex1)))),
% 135.14/85.79 inference(monotonicity,[status(thm)],[9039])).
% 135.14/85.79 tff(9041,plain,
% 135.14/85.79 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB103)) | v124(constB103, bitIndex1))),
% 135.14/85.79 inference(transitivity,[status(thm)],[9040, 9038])).
% 135.14/85.79 tff(9042,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b010(bitIndex1)))),
% 135.14/85.79 inference(quant_inst,[status(thm)],[])).
% 135.14/85.79 tff(9043,plain,
% 135.14/85.79 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB103)) | v124(constB103, bitIndex1)),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9042, 9041])).
% 135.14/85.80 tff(9044,plain,
% 135.14/85.80 (~v145(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9043, 1821, 1818, 823, 9037])).
% 135.14/85.80 tff(9045,plain,
% 135.14/85.80 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | v124(constB103, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | v124(constB103, bitIndex0))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9046,plain,
% 135.14/85.80 ((v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | v124(constB103, bitIndex0))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9047,plain,
% 135.14/85.80 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | v124(constB103, bitIndex0)))),
% 135.14/85.80 inference(monotonicity,[status(thm)],[9046])).
% 135.14/85.80 tff(9048,plain,
% 135.14/85.80 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | v124(constB103, bitIndex0))),
% 135.14/85.80 inference(transitivity,[status(thm)],[9047, 9045])).
% 135.14/85.80 tff(9049,plain,
% 135.14/85.80 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~b001(bitIndex0)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9050,plain,
% 135.14/85.80 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | v124(constB103, bitIndex0)),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9049, 9048])).
% 135.14/85.80 tff(9051,plain,
% 135.14/85.80 (v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9050, 1213, 1210, 795, 8953])).
% 135.14/85.80 tff(9052,plain,
% 135.14/85.80 ($false),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9051, 9044, 9018, 9011, 9004, 8993, 8960])).
% 135.14/85.80 tff(9053,plain,(v121(constB103, bitIndex0) | v26(constB103) | (~v94(constB104)) | v84(constB104, bitIndex1) | v84(constB104, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.80 tff(9054,plain,
% 135.14/85.80 (v121(constB103, bitIndex0) | (~v94(constB104)) | v84(constB104, bitIndex1) | v84(constB104, bitIndex2)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9053, 8945])).
% 135.14/85.80 tff(9055,plain,
% 135.14/85.80 ($false),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9054, 8941, 8929, 8899, 8898])).
% 135.14/85.80 tff(9056,plain,((~v113(constB105)) | v121(constB103, bitIndex0) | (~v94(constB104))), inference(lemma,lemma(discharge,[]))).
% 135.14/85.80 tff(9057,plain,
% 135.14/85.80 (v121(constB103, bitIndex0)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9056, 8897, 8898])).
% 135.14/85.80 tff(9058,assumption,(~v84(constB104, bitIndex0)), introduced(assumption)).
% 135.14/85.80 tff(9059,assumption,(~v102(constB103)), introduced(assumption)).
% 135.14/85.80 tff(9060,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB103) | (~v106(constB103)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB103) | (~v106(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9061,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB103) | (~v106(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9062,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB103) | (~v106(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9061, 9060])).
% 135.14/85.80 tff(9063,plain,
% 135.14/85.80 (~v106(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9062, 619, 9059])).
% 135.14/85.80 tff(9064,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB103) | (~v26(constB103)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB103) | (~v26(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9065,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB103) | (~v26(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9066,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB103) | (~v26(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9065, 9064])).
% 135.14/85.80 tff(9067,plain,
% 135.14/85.80 (~v26(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9066, 630, 9059])).
% 135.14/85.80 tff(9068,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9069,plain,
% 135.14/85.80 ((v26(constB103) | (~v107(constB103)) | v106(constB103)) <=> (v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9070,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | v106(constB103) | (~v107(constB103))))),
% 135.14/85.80 inference(monotonicity,[status(thm)],[9069])).
% 135.14/85.80 tff(9071,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103)))),
% 135.14/85.80 inference(transitivity,[status(thm)],[9070, 9068])).
% 135.14/85.80 tff(9072,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB103) | (~v107(constB103)) | v106(constB103))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9073,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB103) | v106(constB103) | (~v107(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9072, 9071])).
% 135.14/85.80 tff(9074,plain,
% 135.14/85.80 (~v107(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9073, 644, 9067, 9063])).
% 135.14/85.80 tff(9075,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB103) | (~v108(constB103)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB103) | (~v108(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9076,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB103) | (~v108(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9077,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB103) | (~v108(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9076, 9075])).
% 135.14/85.80 tff(9078,plain,
% 135.14/85.80 (~v108(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9077, 658, 9074])).
% 135.14/85.80 tff(9079,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB103) | (~v109(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB103) | (~v109(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9080,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB103) | (~v109(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9081,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB103) | (~v109(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9080, 9079])).
% 135.14/85.80 tff(9082,plain,
% 135.14/85.80 (~v109(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9081, 669, 9078])).
% 135.14/85.80 tff(9083,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB103) | (~v110(constB103)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB103) | (~v110(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9084,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB103) | (~v110(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9085,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB103) | (~v110(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9084, 9083])).
% 135.14/85.80 tff(9086,plain,
% 135.14/85.80 (~v110(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9085, 680, 9082])).
% 135.14/85.80 tff(9087,plain,
% 135.14/85.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB103, constB104)) | (~v104(constB104)) | v102(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB103, constB104)) | (~v104(constB104)) | v102(constB103))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9088,plain,
% 135.14/85.80 (((~nextState(constB103, constB104)) | v102(constB103) | (~v104(constB104))) <=> ((~nextState(constB103, constB104)) | (~v104(constB104)) | v102(constB103))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9089,plain,
% 135.14/85.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB103, constB104)) | v102(constB103) | (~v104(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB103, constB104)) | (~v104(constB104)) | v102(constB103)))),
% 135.14/85.80 inference(monotonicity,[status(thm)],[9088])).
% 135.14/85.80 tff(9090,plain,
% 135.14/85.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB103, constB104)) | v102(constB103) | (~v104(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB103, constB104)) | (~v104(constB104)) | v102(constB103))),
% 135.14/85.80 inference(transitivity,[status(thm)],[9089, 9087])).
% 135.14/85.80 tff(9091,plain,
% 135.14/85.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB103, constB104)) | v102(constB103) | (~v104(constB104)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9092,plain,
% 135.14/85.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB103, constB104)) | (~v104(constB104)) | v102(constB103)),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 135.14/85.80 tff(9093,plain,
% 135.14/85.80 ((~v104(constB104)) | v102(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9092, 3128, 8973])).
% 135.14/85.80 tff(9094,plain,
% 135.14/85.80 (~v104(constB104)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9093, 9059])).
% 135.14/85.80 tff(9095,plain,
% 135.14/85.80 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v94(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v94(constB104)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9096,plain,
% 135.14/85.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v94(constB104)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9097,plain,
% 135.14/85.80 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v94(constB104))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 135.14/85.80 tff(9098,plain,
% 135.14/85.80 (v104(constB104) | (~v94(constB104))),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9097, 3113, 8973])).
% 135.14/85.80 tff(9099,plain,
% 135.14/85.80 (~v94(constB104)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9098, 9094])).
% 135.14/85.80 tff(9100,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB104, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB104, bitIndex0))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9101,plain,
% 135.14/85.80 (((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v84(constB103, bitIndex0))) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB104, bitIndex0))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9102,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v84(constB103, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB104, bitIndex0)))),
% 135.14/85.80 inference(monotonicity,[status(thm)],[9101])).
% 135.14/85.80 tff(9103,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v84(constB103, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB104, bitIndex0))),
% 135.14/85.80 inference(transitivity,[status(thm)],[9102, 9100])).
% 135.14/85.80 tff(9104,plain,
% 135.14/85.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v84(constB103, bitIndex0)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9105,plain,
% 135.14/85.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB104, bitIndex0)),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9104, 9103])).
% 135.14/85.80 tff(9106,plain,
% 135.14/85.80 (~v84(constB103, bitIndex0)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9105, 777, 795, 8973, 9099, 9058])).
% 135.14/85.80 tff(9107,plain,
% 135.14/85.80 (~v84(constB104, bitIndex1)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[8938, 777, 823, 8911, 8923, 8935])).
% 135.14/85.80 tff(9108,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB104, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB104, bitIndex1))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9109,plain,
% 135.14/85.80 (((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v84(constB103, bitIndex1))) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB104, bitIndex1))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9110,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v84(constB103, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB104, bitIndex1)))),
% 135.14/85.80 inference(monotonicity,[status(thm)],[9109])).
% 135.14/85.80 tff(9111,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v84(constB103, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB104, bitIndex1))),
% 135.14/85.80 inference(transitivity,[status(thm)],[9110, 9108])).
% 135.14/85.80 tff(9112,plain,
% 135.14/85.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB104, bitIndex1) | (~v84(constB103, bitIndex1)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9113,plain,
% 135.14/85.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB104, bitIndex1)),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9112, 9111])).
% 135.14/85.80 tff(9114,plain,
% 135.14/85.80 (~v84(constB103, bitIndex1)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9113, 777, 823, 8973, 9099, 9107])).
% 135.14/85.80 tff(9115,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB104, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB104, bitIndex2)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9116,plain,
% 135.14/85.80 (((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB104, bitIndex2)) | v84(constB103, bitIndex2)) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB104, bitIndex2)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9117,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB104, bitIndex2)) | v84(constB103, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB104, bitIndex2))))),
% 135.14/85.80 inference(monotonicity,[status(thm)],[9116])).
% 135.14/85.80 tff(9118,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB104, bitIndex2)) | v84(constB103, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB104, bitIndex2)))),
% 135.14/85.80 inference(transitivity,[status(thm)],[9117, 9115])).
% 135.14/85.80 tff(9119,plain,
% 135.14/85.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB104, bitIndex2)) | v84(constB103, bitIndex2))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9120,plain,
% 135.14/85.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB104, bitIndex2))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 135.14/85.80 tff(9121,plain,
% 135.14/85.80 (v94(constB104) | v84(constB103, bitIndex2)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9120, 805, 767, 8973, 8905])).
% 135.14/85.80 tff(9122,plain,
% 135.14/85.80 (v84(constB103, bitIndex2)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9121, 9099])).
% 135.14/85.80 tff(9123,plain,
% 135.14/85.80 (v94(constB104) | (~v84(constB103, bitIndex1))),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9113, 777, 823, 8973, 9019])).
% 135.14/85.80 tff(9124,plain,
% 135.14/85.80 (~v84(constB103, bitIndex1)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9123, 9099])).
% 135.14/85.80 tff(9125,plain,
% 135.14/85.80 (v94(constB104) | (~v84(constB103, bitIndex0))),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9105, 777, 795, 8973, 9058])).
% 135.14/85.80 tff(9126,plain,
% 135.14/85.80 (~v84(constB103, bitIndex0)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9125, 9099])).
% 135.14/85.80 tff(9127,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9128,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9129,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103)),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 135.14/85.80 tff(9130,plain,
% 135.14/85.80 (v172(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9129, 1047, 9126, 9124, 9122])).
% 135.14/85.80 tff(9131,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB103) | (~v172(constB103)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB103) | (~v172(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9132,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB103) | (~v172(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9133,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB103) | (~v172(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9132, 9131])).
% 135.14/85.80 tff(9134,plain,
% 135.14/85.80 (v109(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9133, 1033, 9130])).
% 135.14/85.80 tff(9135,plain,
% 135.14/85.80 (v108(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9081, 669, 9134])).
% 135.14/85.80 tff(9136,plain,
% 135.14/85.80 ($false),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9077, 658, 9135, 9074])).
% 135.14/85.80 tff(9137,plain,(v102(constB103) | (~v84(constB104, bitIndex2)) | v84(constB104, bitIndex1) | v84(constB104, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.80 tff(9138,plain,
% 135.14/85.80 (~v84(constB104, bitIndex2)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9137, 9107, 9059, 9058])).
% 135.14/85.80 tff(9139,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB104, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB104, bitIndex2))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9140,plain,
% 135.14/85.80 (((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v84(constB103, bitIndex2))) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB104, bitIndex2))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9141,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v84(constB103, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB104, bitIndex2)))),
% 135.14/85.80 inference(monotonicity,[status(thm)],[9140])).
% 135.14/85.80 tff(9142,plain,
% 135.14/85.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v84(constB103, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB104, bitIndex2))),
% 135.14/85.80 inference(transitivity,[status(thm)],[9141, 9139])).
% 135.14/85.80 tff(9143,plain,
% 135.14/85.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | v84(constB104, bitIndex2) | (~v84(constB103, bitIndex2)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9144,plain,
% 135.14/85.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB104, bitIndex2)),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9143, 9142])).
% 135.14/85.80 tff(9145,plain,
% 135.14/85.80 (~v84(constB103, bitIndex2)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9144, 777, 767, 8973, 9099, 9138])).
% 135.14/85.80 tff(9146,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB103) | (~v111(constB103)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB103) | (~v111(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9147,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB103) | (~v111(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9148,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB103) | (~v111(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9147, 9146])).
% 135.14/85.80 tff(9149,plain,
% 135.14/85.80 (~v111(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9148, 691, 9086])).
% 135.14/85.80 tff(9150,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB103) | (~v112(constB103)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB103) | (~v112(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9151,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB103) | (~v112(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9152,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB103) | (~v112(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9151, 9150])).
% 135.14/85.80 tff(9153,plain,
% 135.14/85.80 (~v112(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9152, 702, 9149])).
% 135.14/85.80 tff(9154,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB103) | (~v113(constB103)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB103) | (~v113(constB103)))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9155,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB103) | (~v113(constB103)))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9156,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB103) | (~v113(constB103))),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 135.14/85.80 tff(9157,plain,
% 135.14/85.80 (~v113(constB103)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9156, 969, 9153])).
% 135.14/85.80 tff(9158,plain,
% 135.14/85.80 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB103) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB103) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2))),
% 135.14/85.80 inference(rewrite,[status(thm)],[])).
% 135.14/85.80 tff(9159,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB103) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2))),
% 135.14/85.80 inference(quant_inst,[status(thm)],[])).
% 135.14/85.80 tff(9160,plain,
% 135.14/85.80 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB103) | v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2)),
% 135.14/85.80 inference(modus_ponens,[status(thm)],[9159, 9158])).
% 135.14/85.80 tff(9161,plain,
% 135.14/85.80 (v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2)),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9160, 983, 9157])).
% 135.14/85.80 tff(9162,plain,
% 135.14/85.80 ($false),
% 135.14/85.80 inference(unit_resolution,[status(thm)],[9161, 9145, 9114, 9106])).
% 135.14/85.80 tff(9163,plain,(v84(constB104, bitIndex0) | v102(constB103) | v84(constB105, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.81 tff(9164,plain,
% 135.14/85.81 (v84(constB105, bitIndex1)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9163, 9059, 9058])).
% 135.14/85.81 tff(9165,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB104, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB104, bitIndex1))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9166,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB104, bitIndex1))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9167,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB104, bitIndex1)),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 135.14/85.81 tff(9168,plain,
% 135.14/85.81 (v84(constB104, bitIndex1)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9167, 805, 823, 8911, 8923, 9164])).
% 135.14/85.81 tff(9169,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB104, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB104, bitIndex1)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9170,plain,
% 135.14/85.81 (((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB104, bitIndex1)) | v84(constB103, bitIndex1)) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB104, bitIndex1)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9171,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB104, bitIndex1)) | v84(constB103, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB104, bitIndex1))))),
% 135.14/85.81 inference(monotonicity,[status(thm)],[9170])).
% 135.14/85.81 tff(9172,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB104, bitIndex1)) | v84(constB103, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB104, bitIndex1)))),
% 135.14/85.81 inference(transitivity,[status(thm)],[9171, 9169])).
% 135.14/85.81 tff(9173,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | (~v84(constB104, bitIndex1)) | v84(constB103, bitIndex1))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9174,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB104, bitIndex1))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9173, 9172])).
% 135.14/85.81 tff(9175,plain,
% 135.14/85.81 (v84(constB103, bitIndex1)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9174, 805, 823, 8973, 9099, 9168])).
% 135.14/85.81 tff(9176,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB103) | (~v119(constB103)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB103) | (~v119(constB103)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9177,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB103) | (~v119(constB103)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9178,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB103) | (~v119(constB103))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9177, 9176])).
% 135.14/85.81 tff(9179,plain,
% 135.14/85.81 (~v119(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9178, 1927, 9074])).
% 135.14/85.81 tff(9180,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB103) | v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB103) | v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9181,plain,
% 135.14/85.81 ((v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)) | v119(constB103)) <=> (v119(constB103) | v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9182,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)) | v119(constB103))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB103) | v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2))))),
% 135.14/85.81 inference(monotonicity,[status(thm)],[9181])).
% 135.14/85.81 tff(9183,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)) | v119(constB103))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB103) | v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)))),
% 135.14/85.81 inference(transitivity,[status(thm)],[9182, 9180])).
% 135.14/85.81 tff(9184,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)) | v119(constB103))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9185,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB103) | v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9184, 9183])).
% 135.14/85.81 tff(9186,plain,
% 135.14/85.81 (v119(constB103) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2))),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9185, 1910, 9126])).
% 135.14/85.81 tff(9187,plain,
% 135.14/85.81 (~v84(constB103, bitIndex2)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9186, 9179, 9175])).
% 135.14/85.81 tff(9188,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v115(constB103))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v115(constB103))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9189,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v115(constB103))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9190,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v115(constB103)),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9189, 9188])).
% 135.14/85.81 tff(9191,plain,
% 135.14/85.81 ((~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v115(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9190, 1095, 9126])).
% 135.14/85.81 tff(9192,plain,
% 135.14/85.81 (v115(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9191, 9187, 9175])).
% 135.14/85.81 tff(9193,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB103) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB103) | (~v115(constB103)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9194,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB103) | (~v115(constB103)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9195,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB103) | (~v115(constB103))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9194, 9193])).
% 135.14/85.81 tff(9196,plain,
% 135.14/85.81 (v111(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9195, 945, 9192])).
% 135.14/85.81 tff(9197,plain,
% 135.14/85.81 ($false),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9148, 691, 9196, 9086])).
% 135.14/85.81 tff(9198,plain,(v102(constB103) | v84(constB104, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.81 tff(9199,plain,
% 135.14/85.81 (v102(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9198, 9058])).
% 135.14/85.81 tff(9200,plain,
% 135.14/85.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9201,plain,
% 135.14/85.81 (((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104)) <=> ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9202,plain,
% 135.14/85.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))))),
% 135.14/85.81 inference(monotonicity,[status(thm)],[9201])).
% 135.14/85.81 tff(9203,plain,
% 135.14/85.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103)))),
% 135.14/85.81 inference(transitivity,[status(thm)],[9202, 9200])).
% 135.14/85.81 tff(9204,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB103, constB104)) | (~v102(constB103)) | v104(constB104))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9205,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB103, constB104)) | v104(constB104) | (~v102(constB103))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 135.14/85.81 tff(9206,plain,
% 135.14/85.81 (v104(constB104) | (~v102(constB103))),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9205, 604, 8973])).
% 135.14/85.81 tff(9207,plain,
% 135.14/85.81 (v104(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9206, 9199])).
% 135.14/85.81 tff(9208,plain,
% 135.14/85.81 ((~v1(constB103)) <=> (~v1(constB103))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9209,axiom,(~v1(constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_103_1_1')).
% 135.14/85.81 tff(9210,plain,
% 135.14/85.81 (~v1(constB103)),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 135.14/85.81 tff(9211,plain,
% 135.14/85.81 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9212,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9213,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB103) | (~nextState(constB103, constB104)) | (~v98(constB104))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 135.14/85.81 tff(9214,plain,
% 135.14/85.81 (~v98(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9213, 541, 8973, 9210])).
% 135.14/85.81 tff(9215,plain,
% 135.14/85.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9216,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB103, constB104)) | v96(constB104) | v98(constB104))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9217,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB103, constB104)) | v96(constB104) | v98(constB104)),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9216, 9215])).
% 135.14/85.81 tff(9218,plain,
% 135.14/85.81 (v96(constB104) | v98(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9217, 555, 8973])).
% 135.14/85.81 tff(9219,plain,
% 135.14/85.81 (v96(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9218, 9214])).
% 135.14/85.81 tff(9220,plain,
% 135.14/85.81 (v1(constB104) <=> v1(constB104)),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9221,axiom,(v1(constB104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_104_1')).
% 135.14/85.81 tff(9222,plain,
% 135.14/85.81 (v1(constB104)),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9221, 9220])).
% 135.14/85.81 tff(9223,plain,
% 135.14/85.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9224,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9225,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB103, constB104)) | v95(constB104) | (~v96(constB104)) | (~v1(constB104))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 135.14/85.81 tff(9226,plain,
% 135.14/85.81 (v95(constB104) | (~v96(constB104))),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9225, 573, 8973, 9222])).
% 135.14/85.81 tff(9227,plain,
% 135.14/85.81 (v95(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9226, 9219])).
% 135.14/85.81 tff(9228,plain,
% 135.14/85.81 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9229,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9230,plain,
% 135.14/85.81 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB103, constB104)) | (~v95(constB104)) | (~v104(constB104)) | v94(constB104)),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9229, 9228])).
% 135.14/85.81 tff(9231,plain,
% 135.14/85.81 ((~v95(constB104)) | (~v104(constB104)) | v94(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9230, 588, 8973])).
% 135.14/85.81 tff(9232,plain,
% 135.14/85.81 ((~v104(constB104)) | v94(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9231, 9227])).
% 135.14/85.81 tff(9233,plain,
% 135.14/85.81 (v94(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9232, 9207])).
% 135.14/85.81 tff(9234,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB104)) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9235,plain,
% 135.14/85.81 (((~less_3(bitIndex0)) | (~v94(constB104)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0))) <=> ((~v94(constB104)) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9236,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB104)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB104)) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0))))),
% 135.14/85.81 inference(monotonicity,[status(thm)],[9235])).
% 135.14/85.81 tff(9237,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB104)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 135.14/85.81 inference(transitivity,[status(thm)],[9236, 9234])).
% 135.14/85.81 tff(9238,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB104)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9239,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB104)) | (~less_3(bitIndex0)) | v84(constB104, bitIndex0) | (~v123(constB104, bitIndex0))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9238, 9237])).
% 135.14/85.81 tff(9240,plain,
% 135.14/85.81 (~v123(constB104, bitIndex0)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9239, 1674, 795, 9233, 9058])).
% 135.14/85.81 tff(9241,assumption,(v121(constB103, bitIndex0)), introduced(assumption)).
% 135.14/85.81 tff(9242,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex0)) | v123(constB104, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex0)) | v123(constB104, bitIndex0) | (~v121(constB103, bitIndex0)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9243,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex0)) | v123(constB104, bitIndex0) | (~v121(constB103, bitIndex0)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9244,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex0)) | v123(constB104, bitIndex0) | (~v121(constB103, bitIndex0))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9243, 9242])).
% 135.14/85.81 tff(9245,plain,
% 135.14/85.81 ($false),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9244, 1708, 795, 8973, 9241, 9240])).
% 135.14/85.81 tff(9246,plain,((~v121(constB103, bitIndex0)) | v84(constB104, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.81 tff(9247,plain,
% 135.14/85.81 (v84(constB104, bitIndex0)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9246, 9057])).
% 135.14/85.81 tff(9248,assumption,(v84(constB104, bitIndex0)), introduced(assumption)).
% 135.14/85.81 tff(9249,assumption,(~v84(constB105, bitIndex0)), introduced(assumption)).
% 135.14/85.81 tff(9250,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB104, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB104, bitIndex0)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9251,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB104, bitIndex0)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9252,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB104, bitIndex0))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9251, 9250])).
% 135.14/85.81 tff(9253,plain,
% 135.14/85.81 ($false),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9252, 777, 795, 8911, 8923, 9249, 9248])).
% 135.14/85.81 tff(9254,plain,((~v84(constB104, bitIndex0)) | v84(constB105, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.81 tff(9255,plain,
% 135.14/85.81 (v84(constB105, bitIndex0)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9254, 9247])).
% 135.14/85.81 tff(9256,plain,
% 135.14/85.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB105, bitIndex0)) | (~v113(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB105, bitIndex0)) | (~v113(constB105)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9257,plain,
% 135.14/85.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB105, bitIndex0)) | (~v113(constB105)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9258,plain,
% 135.14/85.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB105, bitIndex0)) | (~v113(constB105))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9257, 9256])).
% 135.14/85.81 tff(9259,plain,
% 135.14/85.81 ($false),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9258, 2764, 9255, 8897])).
% 135.14/85.81 tff(9260,plain,((~v113(constB105)) | (~v94(constB104))), inference(lemma,lemma(discharge,[]))).
% 135.14/85.81 tff(9261,plain,
% 135.14/85.81 (~v94(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9260, 8897])).
% 135.14/85.81 tff(9262,assumption,(~v94(constB104)), introduced(assumption)).
% 135.14/85.81 tff(9263,plain,
% 135.14/85.81 (~v104(constB104)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9232, 9262])).
% 135.14/85.81 tff(9264,plain,
% 135.14/85.81 (~v102(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9206, 9263])).
% 135.14/85.81 tff(9265,plain,
% 135.14/85.81 (~v106(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9062, 619, 9264])).
% 135.14/85.81 tff(9266,plain,
% 135.14/85.81 (v106(constB103) | (~v107(constB103))),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9073, 644, 8945])).
% 135.14/85.81 tff(9267,plain,
% 135.14/85.81 (~v107(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9266, 9265])).
% 135.14/85.81 tff(9268,plain,
% 135.14/85.81 (~v108(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9077, 658, 9267])).
% 135.14/85.81 tff(9269,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB103) | (~v118(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB103) | (~v118(constB103)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9270,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB103) | (~v118(constB103)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9271,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB103) | (~v118(constB103))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 135.14/85.81 tff(9272,plain,
% 135.14/85.81 (~v118(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9271, 1004, 9268])).
% 135.14/85.81 tff(9273,plain,
% 135.14/85.81 (~v109(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9081, 669, 9268])).
% 135.14/85.81 tff(9274,plain,
% 135.14/85.81 (~v172(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9133, 1033, 9273])).
% 135.14/85.81 tff(9275,assumption,(~v84(constB103, bitIndex2)), introduced(assumption)).
% 135.14/85.81 tff(9276,plain,
% 135.14/85.81 (v84(constB104, bitIndex0)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9198, 9264])).
% 135.14/85.81 tff(9277,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB104, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB104, bitIndex0)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9278,plain,
% 135.14/85.81 (((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB104, bitIndex0)) | v84(constB103, bitIndex0)) <=> ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB104, bitIndex0)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9279,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB104, bitIndex0)) | v84(constB103, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB104, bitIndex0))))),
% 135.14/85.81 inference(monotonicity,[status(thm)],[9278])).
% 135.14/85.81 tff(9280,plain,
% 135.14/85.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB104, bitIndex0)) | v84(constB103, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB104, bitIndex0)))),
% 135.14/85.81 inference(transitivity,[status(thm)],[9279, 9277])).
% 135.14/85.81 tff(9281,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | (~v84(constB104, bitIndex0)) | v84(constB103, bitIndex0))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9282,plain,
% 135.14/85.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB103, constB104)) | v94(constB104) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB104, bitIndex0))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9281, 9280])).
% 135.14/85.81 tff(9283,plain,
% 135.14/85.81 (v84(constB103, bitIndex0)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9282, 805, 795, 8973, 9262, 9276])).
% 135.14/85.81 tff(9284,plain,
% 135.14/85.81 (~v110(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9085, 680, 9273])).
% 135.14/85.81 tff(9285,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB103) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB103) | (~v116(constB103)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9286,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB103) | (~v116(constB103)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9287,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB103) | (~v116(constB103))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 135.14/85.81 tff(9288,plain,
% 135.14/85.81 (~v116(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9287, 934, 9284])).
% 135.14/85.81 tff(9289,plain,
% 135.14/85.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v116(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v116(constB103))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9290,plain,
% 135.14/85.81 (((~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103)) <=> ((~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v116(constB103))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9291,plain,
% 135.14/85.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v116(constB103)))),
% 135.14/85.81 inference(monotonicity,[status(thm)],[9290])).
% 135.14/85.81 tff(9292,plain,
% 135.14/85.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v116(constB103))),
% 135.14/85.81 inference(transitivity,[status(thm)],[9291, 9289])).
% 135.14/85.81 tff(9293,plain,
% 135.14/85.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB103, bitIndex0)) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v116(constB103))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9294,plain,
% 135.14/85.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v116(constB103)),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9293, 9292])).
% 135.14/85.81 tff(9295,plain,
% 135.14/85.81 ((~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0))),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9294, 1076, 9288])).
% 135.14/85.81 tff(9296,plain,
% 135.14/85.81 (~v84(constB103, bitIndex1)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9295, 9283, 9275])).
% 135.14/85.81 tff(9297,plain,
% 135.14/85.81 (~v111(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9148, 691, 9284])).
% 135.14/85.81 tff(9298,plain,
% 135.14/85.81 (~v112(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9152, 702, 9297])).
% 135.14/85.81 tff(9299,plain,
% 135.14/85.81 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB103) | (~v145(constB103)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB103) | (~v145(constB103)))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9300,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB103) | (~v145(constB103)))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9301,plain,
% 135.14/85.81 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB103) | (~v145(constB103))),
% 135.14/85.81 inference(modus_ponens,[status(thm)],[9300, 9299])).
% 135.14/85.81 tff(9302,plain,
% 135.14/85.81 (~v145(constB103)),
% 135.14/85.81 inference(unit_resolution,[status(thm)],[9301, 713, 9298])).
% 135.14/85.81 tff(9303,plain,
% 135.14/85.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v145(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v145(constB103))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9304,plain,
% 135.14/85.81 (((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | v145(constB103)) <=> (v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v145(constB103))),
% 135.14/85.81 inference(rewrite,[status(thm)],[])).
% 135.14/85.81 tff(9305,plain,
% 135.14/85.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | v145(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v145(constB103)))),
% 135.14/85.81 inference(monotonicity,[status(thm)],[9304])).
% 135.14/85.81 tff(9306,plain,
% 135.14/85.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | v145(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v145(constB103))),
% 135.14/85.81 inference(transitivity,[status(thm)],[9305, 9303])).
% 135.14/85.81 tff(9307,plain,
% 135.14/85.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | v145(constB103))),
% 135.14/85.81 inference(quant_inst,[status(thm)],[])).
% 135.14/85.81 tff(9308,plain,
% 135.14/85.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0)) | v145(constB103)),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9307, 9306])).
% 135.14/85.82 tff(9309,plain,
% 135.14/85.82 (v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0))),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9308, 865, 9302])).
% 135.14/85.82 tff(9310,plain,
% 135.14/85.82 ($false),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9309, 9296, 9283, 9275])).
% 135.14/85.82 tff(9311,plain,(v84(constB103, bitIndex2) | v94(constB104)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.82 tff(9312,plain,
% 135.14/85.82 (v84(constB103, bitIndex2)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9311, 9262])).
% 135.14/85.82 tff(9313,assumption,(v84(constB103, bitIndex2)), introduced(assumption)).
% 135.14/85.82 tff(9314,assumption,(~v84(constB103, bitIndex1)), introduced(assumption)).
% 135.14/85.82 tff(9315,assumption,(~v118(constB103)), introduced(assumption)).
% 135.14/85.82 tff(9316,plain,
% 135.14/85.82 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103) | (~v84(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103) | (~v84(constB103, bitIndex0)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9317,plain,
% 135.14/85.82 (((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103)) <=> (v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103) | (~v84(constB103, bitIndex0)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9318,plain,
% 135.14/85.82 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103) | (~v84(constB103, bitIndex0))))),
% 135.14/85.82 inference(monotonicity,[status(thm)],[9317])).
% 135.14/85.82 tff(9319,plain,
% 135.14/85.82 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103) | (~v84(constB103, bitIndex0)))),
% 135.14/85.82 inference(transitivity,[status(thm)],[9318, 9316])).
% 135.14/85.82 tff(9320,plain,
% 135.14/85.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB103, bitIndex0)) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9321,plain,
% 135.14/85.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v118(constB103) | (~v84(constB103, bitIndex0))),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9320, 9319])).
% 135.14/85.82 tff(9322,plain,
% 135.14/85.82 (v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | (~v84(constB103, bitIndex0))),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9321, 1018, 9315])).
% 135.14/85.82 tff(9323,plain,
% 135.14/85.82 (~v84(constB103, bitIndex0)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9322, 9314, 9313])).
% 135.14/85.82 tff(9324,assumption,(~v172(constB103)), introduced(assumption)).
% 135.14/85.82 tff(9325,plain,
% 135.14/85.82 (v84(constB103, bitIndex0) | v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2))),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9129, 1047, 9324])).
% 135.14/85.82 tff(9326,plain,
% 135.14/85.82 ($false),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9325, 9323, 9314, 9313])).
% 135.14/85.82 tff(9327,plain,(v84(constB103, bitIndex1) | (~v84(constB103, bitIndex2)) | v172(constB103) | v118(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.82 tff(9328,plain,
% 135.14/85.82 (v84(constB103, bitIndex1)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9327, 9312, 9274, 9272])).
% 135.14/85.82 tff(9329,plain,
% 135.14/85.82 ($false),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9113, 777, 823, 8973, 9262, 9019, 9328])).
% 135.14/85.82 tff(9330,plain,(v84(constB104, bitIndex1) | v94(constB104)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.82 tff(9331,plain,
% 135.14/85.82 (v84(constB104, bitIndex1)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9330, 9261])).
% 135.14/85.82 tff(9332,plain,
% 135.14/85.82 (v84(constB105, bitIndex1)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[8940, 9331])).
% 135.14/85.82 tff(9333,plain,
% 135.14/85.82 ($false),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[8932, 1465, 9332, 8897])).
% 135.14/85.82 tff(9334,plain,(~v113(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.14/85.82 tff(9335,assumption,(~v113(constB105)), introduced(assumption)).
% 135.14/85.82 tff(9336,assumption,(~v94(constB106)), introduced(assumption)).
% 135.14/85.82 tff(9337,plain,
% 135.14/85.82 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9338,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_105_1')).
% 135.14/85.82 tff(9339,plain,
% 135.14/85.82 (nextState(constB105, constB106)),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 135.14/85.82 tff(9340,plain,
% 135.14/85.82 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9341,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106)))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9342,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB105) | (~nextState(constB105, constB106)) | (~v98(constB106))),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9341, 9340])).
% 135.14/85.82 tff(9343,plain,
% 135.14/85.82 (~v98(constB106)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9342, 541, 9339, 8908])).
% 135.14/85.82 tff(9344,plain,
% 135.14/85.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9345,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB105, constB106)) | v96(constB106) | v98(constB106))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9346,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB105, constB106)) | v96(constB106) | v98(constB106)),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9345, 9344])).
% 135.14/85.82 tff(9347,plain,
% 135.14/85.82 (v96(constB106) | v98(constB106)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9346, 555, 9339])).
% 135.14/85.82 tff(9348,plain,
% 135.14/85.82 (v96(constB106)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9347, 9343])).
% 135.14/85.82 tff(9349,plain,
% 135.14/85.82 (v1(constB106) <=> v1(constB106)),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9350,axiom,(v1(constB106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_106_1')).
% 135.14/85.82 tff(9351,plain,
% 135.14/85.82 (v1(constB106)),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9350, 9349])).
% 135.14/85.82 tff(9352,plain,
% 135.14/85.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9353,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106)))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9354,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB105, constB106)) | v95(constB106) | (~v96(constB106)) | (~v1(constB106))),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 135.14/85.82 tff(9355,plain,
% 135.14/85.82 (v95(constB106) | (~v96(constB106))),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9354, 573, 9339, 9351])).
% 135.14/85.82 tff(9356,plain,
% 135.14/85.82 (v95(constB106)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9355, 9348])).
% 135.14/85.82 tff(9357,plain,
% 135.14/85.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9358,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9359,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB105, constB106)) | (~v95(constB106)) | (~v104(constB106)) | v94(constB106)),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9358, 9357])).
% 135.14/85.82 tff(9360,plain,
% 135.14/85.82 ((~v95(constB106)) | (~v104(constB106)) | v94(constB106)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9359, 588, 9339])).
% 135.14/85.82 tff(9361,plain,
% 135.14/85.82 ((~v104(constB106)) | v94(constB106)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9360, 9356])).
% 135.14/85.82 tff(9362,plain,
% 135.14/85.82 (~v104(constB106)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9361, 9336])).
% 135.14/85.82 tff(9363,plain,
% 135.14/85.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9364,plain,
% 135.14/85.82 (((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106)) <=> ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9365,plain,
% 135.14/85.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))))),
% 135.14/85.82 inference(monotonicity,[status(thm)],[9364])).
% 135.14/85.82 tff(9366,plain,
% 135.14/85.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105)))),
% 135.14/85.82 inference(transitivity,[status(thm)],[9365, 9363])).
% 135.14/85.82 tff(9367,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB105, constB106)) | (~v102(constB105)) | v104(constB106))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9368,plain,
% 135.14/85.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v102(constB105))),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9367, 9366])).
% 135.14/85.82 tff(9369,plain,
% 135.14/85.82 (v104(constB106) | (~v102(constB105))),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9368, 604, 9339])).
% 135.14/85.82 tff(9370,plain,
% 135.14/85.82 (~v102(constB105)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9369, 9362])).
% 135.14/85.82 tff(9371,assumption,(~v102(constB105)), introduced(assumption)).
% 135.14/85.82 tff(9372,plain,
% 135.14/85.82 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB105) | (~v106(constB105)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB105) | (~v106(constB105)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9373,plain,
% 135.14/85.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB105) | (~v106(constB105)))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9374,plain,
% 135.14/85.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB105) | (~v106(constB105))),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9373, 9372])).
% 135.14/85.82 tff(9375,plain,
% 135.14/85.82 (~v106(constB105)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9374, 619, 9371])).
% 135.14/85.82 tff(9376,plain,
% 135.14/85.82 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB105) | (~v26(constB105)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB105) | (~v26(constB105)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9377,plain,
% 135.14/85.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB105) | (~v26(constB105)))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9378,plain,
% 135.14/85.82 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB105) | (~v26(constB105))),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9377, 9376])).
% 135.14/85.82 tff(9379,plain,
% 135.14/85.82 (~v26(constB105)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9378, 630, 9371])).
% 135.14/85.82 tff(9380,assumption,(v107(constB105)), introduced(assumption)).
% 135.14/85.82 tff(9381,plain,
% 135.14/85.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9382,plain,
% 135.14/85.82 ((v26(constB105) | (~v107(constB105)) | v106(constB105)) <=> (v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 135.14/85.82 inference(rewrite,[status(thm)],[])).
% 135.14/85.82 tff(9383,plain,
% 135.14/85.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | v106(constB105) | (~v107(constB105))))),
% 135.14/85.82 inference(monotonicity,[status(thm)],[9382])).
% 135.14/85.82 tff(9384,plain,
% 135.14/85.82 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105)))),
% 135.14/85.82 inference(transitivity,[status(thm)],[9383, 9381])).
% 135.14/85.82 tff(9385,plain,
% 135.14/85.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB105) | (~v107(constB105)) | v106(constB105))),
% 135.14/85.82 inference(quant_inst,[status(thm)],[])).
% 135.14/85.82 tff(9386,plain,
% 135.14/85.82 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB105) | v106(constB105) | (~v107(constB105))),
% 135.14/85.82 inference(modus_ponens,[status(thm)],[9385, 9384])).
% 135.14/85.82 tff(9387,plain,
% 135.14/85.82 (v26(constB105) | v106(constB105)),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9386, 644, 9380])).
% 135.14/85.82 tff(9388,plain,
% 135.14/85.82 ($false),
% 135.14/85.82 inference(unit_resolution,[status(thm)],[9387, 9379, 9375])).
% 135.14/85.82 tff(9389,plain,(v102(constB105) | (~v107(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.14/85.82 tff(9390,plain,
% 135.14/85.82 (~v107(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9389, 9370])).
% 135.18/85.82 tff(9391,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB105) | (~v108(constB105)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB105) | (~v108(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9392,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB105) | (~v108(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9393,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB105) | (~v108(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9392, 9391])).
% 135.18/85.82 tff(9394,plain,
% 135.18/85.82 (~v108(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9393, 658, 9390])).
% 135.18/85.82 tff(9395,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB105) | (~v109(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB105) | (~v109(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9396,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB105) | (~v109(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9397,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB105) | (~v109(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9396, 9395])).
% 135.18/85.82 tff(9398,plain,
% 135.18/85.82 (~v109(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9397, 669, 9394])).
% 135.18/85.82 tff(9399,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB105) | (~v110(constB105)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB105) | (~v110(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9400,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB105) | (~v110(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9401,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB105) | (~v110(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9400, 9399])).
% 135.18/85.82 tff(9402,plain,
% 135.18/85.82 (~v110(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9401, 680, 9398])).
% 135.18/85.82 tff(9403,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB105) | (~v111(constB105)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB105) | (~v111(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9404,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB105) | (~v111(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9405,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB105) | (~v111(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9404, 9403])).
% 135.18/85.82 tff(9406,plain,
% 135.18/85.82 (~v111(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9405, 691, 9402])).
% 135.18/85.82 tff(9407,assumption,(~v84(constB106, bitIndex0)), introduced(assumption)).
% 135.18/85.82 tff(9408,assumption,(v84(constB105, bitIndex0)), introduced(assumption)).
% 135.18/85.82 tff(9409,plain,
% 135.18/85.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB106, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB106, bitIndex0))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9410,plain,
% 135.18/85.82 (((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB106, bitIndex0) | (~v84(constB105, bitIndex0))) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB106, bitIndex0))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9411,plain,
% 135.18/85.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB106, bitIndex0) | (~v84(constB105, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB106, bitIndex0)))),
% 135.18/85.82 inference(monotonicity,[status(thm)],[9410])).
% 135.18/85.82 tff(9412,plain,
% 135.18/85.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB106, bitIndex0) | (~v84(constB105, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB106, bitIndex0))),
% 135.18/85.82 inference(transitivity,[status(thm)],[9411, 9409])).
% 135.18/85.82 tff(9413,plain,
% 135.18/85.82 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB106, bitIndex0) | (~v84(constB105, bitIndex0)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9414,plain,
% 135.18/85.82 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB106, bitIndex0)),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9413, 9412])).
% 135.18/85.82 tff(9415,plain,
% 135.18/85.82 ($false),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9414, 777, 795, 9339, 9336, 9407, 9408])).
% 135.18/85.82 tff(9416,plain,(v84(constB106, bitIndex0) | v94(constB106) | (~v84(constB105, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.18/85.82 tff(9417,plain,
% 135.18/85.82 (~v84(constB105, bitIndex0)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9416, 9336, 9407])).
% 135.18/85.82 tff(9418,assumption,(~v107(constB105)), introduced(assumption)).
% 135.18/85.82 tff(9419,plain,
% 135.18/85.82 (~v108(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9393, 658, 9418])).
% 135.18/85.82 tff(9420,plain,
% 135.18/85.82 (~v109(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9397, 669, 9419])).
% 135.18/85.82 tff(9421,plain,
% 135.18/85.82 (~v110(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9401, 680, 9420])).
% 135.18/85.82 tff(9422,plain,
% 135.18/85.82 (~v111(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9405, 691, 9421])).
% 135.18/85.82 tff(9423,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB105) | (~v112(constB105)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB105) | (~v112(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9424,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB105) | (~v112(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9425,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB105) | (~v112(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9424, 9423])).
% 135.18/85.82 tff(9426,plain,
% 135.18/85.82 (~v112(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9425, 702, 9422])).
% 135.18/85.82 tff(9427,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB105) | (~v118(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB105) | (~v118(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9428,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB105) | (~v118(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9429,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB105) | (~v118(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9428, 9427])).
% 135.18/85.82 tff(9430,plain,
% 135.18/85.82 (~v118(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9429, 1004, 9419])).
% 135.18/85.82 tff(9431,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB105) | (~v172(constB105)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB105) | (~v172(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9432,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB105) | (~v172(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9433,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB105) | (~v172(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9432, 9431])).
% 135.18/85.82 tff(9434,plain,
% 135.18/85.82 (~v172(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9433, 1033, 9420])).
% 135.18/85.82 tff(9435,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB105)) | v84(constB105, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB105)) | v84(constB105, bitIndex0))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9436,plain,
% 135.18/85.82 ((v84(constB105, bitIndex0) | (~v145(constB105))) <=> ((~v145(constB105)) | v84(constB105, bitIndex0))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9437,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB105, bitIndex0) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB105)) | v84(constB105, bitIndex0)))),
% 135.18/85.82 inference(monotonicity,[status(thm)],[9436])).
% 135.18/85.82 tff(9438,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB105, bitIndex0) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB105)) | v84(constB105, bitIndex0))),
% 135.18/85.82 inference(transitivity,[status(thm)],[9437, 9435])).
% 135.18/85.82 tff(9439,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB105, bitIndex0) | (~v145(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9440,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB105)) | v84(constB105, bitIndex0)),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9439, 9438])).
% 135.18/85.82 tff(9441,plain,
% 135.18/85.82 (~v145(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9440, 788, 9249])).
% 135.18/85.82 tff(9442,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB105) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB105) | (~v119(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9443,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB105) | (~v119(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9444,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB105) | (~v119(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 135.18/85.82 tff(9445,plain,
% 135.18/85.82 (~v119(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9444, 1927, 9418])).
% 135.18/85.82 tff(9446,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB105) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB105) | (~v115(constB105)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9447,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB105) | (~v115(constB105)))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9448,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB105) | (~v115(constB105))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9447, 9446])).
% 135.18/85.82 tff(9449,plain,
% 135.18/85.82 (~v115(constB105)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9448, 945, 9422])).
% 135.18/85.82 tff(9450,assumption,(v84(constB105, bitIndex1)), introduced(assumption)).
% 135.18/85.82 tff(9451,assumption,(~v115(constB105)), introduced(assumption)).
% 135.18/85.82 tff(9452,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | v115(constB105))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | v115(constB105))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9453,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | v115(constB105))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9454,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | v115(constB105)),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 135.18/85.82 tff(9455,plain,
% 135.18/85.82 (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9454, 1095, 9451])).
% 135.18/85.82 tff(9456,plain,
% 135.18/85.82 (v84(constB105, bitIndex2)),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9455, 9249, 9450])).
% 135.18/85.82 tff(9457,assumption,(~v119(constB105)), introduced(assumption)).
% 135.18/85.82 tff(9458,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB105) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB105) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9459,plain,
% 135.18/85.82 ((v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105)) <=> (v119(constB105) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)))),
% 135.18/85.82 inference(rewrite,[status(thm)],[])).
% 135.18/85.82 tff(9460,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB105) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2))))),
% 135.18/85.82 inference(monotonicity,[status(thm)],[9459])).
% 135.18/85.82 tff(9461,plain,
% 135.18/85.82 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB105) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)))),
% 135.18/85.82 inference(transitivity,[status(thm)],[9460, 9458])).
% 135.18/85.82 tff(9462,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2)) | v119(constB105))),
% 135.18/85.82 inference(quant_inst,[status(thm)],[])).
% 135.18/85.82 tff(9463,plain,
% 135.18/85.82 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB105) | v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2))),
% 135.18/85.82 inference(modus_ponens,[status(thm)],[9462, 9461])).
% 135.18/85.82 tff(9464,plain,
% 135.18/85.82 (v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex2))),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9463, 1910, 9457])).
% 135.18/85.82 tff(9465,plain,
% 135.18/85.82 ($false),
% 135.18/85.82 inference(unit_resolution,[status(thm)],[9464, 9456, 9249, 9450])).
% 135.18/85.82 tff(9466,plain,(v84(constB105, bitIndex0) | (~v84(constB105, bitIndex1)) | v119(constB105) | v115(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9467,plain,
% 135.18/85.83 (~v84(constB105, bitIndex1)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9466, 9449, 9249, 9445])).
% 135.18/85.83 tff(9468,assumption,(~v172(constB105)), introduced(assumption)).
% 135.18/85.83 tff(9469,plain,
% 135.18/85.83 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9470,plain,
% 135.18/85.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9471,plain,
% 135.18/85.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v172(constB105)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9470, 9469])).
% 135.18/85.83 tff(9472,plain,
% 135.18/85.83 (v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2))),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9471, 1047, 9468])).
% 135.18/85.83 tff(9473,plain,
% 135.18/85.83 (~v84(constB105, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9472, 9249, 8935])).
% 135.18/85.83 tff(9474,plain,
% 135.18/85.83 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB105) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB105) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9475,plain,
% 135.18/85.83 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB105) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9476,plain,
% 135.18/85.83 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB105) | v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 135.18/85.83 tff(9477,plain,
% 135.18/85.83 (v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9476, 983, 9335])).
% 135.18/85.83 tff(9478,plain,
% 135.18/85.83 ($false),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9477, 9473, 9249, 8935])).
% 135.18/85.83 tff(9479,plain,(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | v113(constB105) | v172(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9480,plain,
% 135.18/85.83 (v84(constB105, bitIndex0)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9479, 8935, 9335, 9468])).
% 135.18/85.83 tff(9481,plain,
% 135.18/85.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB105) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB105) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9482,plain,
% 135.18/85.83 (((~v84(constB105, bitIndex0)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | v145(constB105)) <=> (v145(constB105) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9483,plain,
% 135.18/85.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB105, bitIndex0)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | v145(constB105))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB105) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0))))),
% 135.18/85.83 inference(monotonicity,[status(thm)],[9482])).
% 135.18/85.83 tff(9484,plain,
% 135.18/85.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB105, bitIndex0)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | v145(constB105))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB105) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)))),
% 135.18/85.83 inference(transitivity,[status(thm)],[9483, 9481])).
% 135.18/85.83 tff(9485,plain,
% 135.18/85.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB105, bitIndex0)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | v145(constB105))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9486,plain,
% 135.18/85.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB105) | v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9485, 9484])).
% 135.18/85.83 tff(9487,plain,
% 135.18/85.83 (v84(constB105, bitIndex1) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0))),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9486, 865, 6519])).
% 135.18/85.83 tff(9488,plain,
% 135.18/85.83 (v84(constB105, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9487, 9480, 8935])).
% 135.18/85.83 tff(9489,assumption,(~v118(constB105)), introduced(assumption)).
% 135.18/85.83 tff(9490,plain,
% 135.18/85.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105) | (~v84(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105) | (~v84(constB105, bitIndex0)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9491,plain,
% 135.18/85.83 (((~v84(constB105, bitIndex0)) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105)) <=> (v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105) | (~v84(constB105, bitIndex0)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9492,plain,
% 135.18/85.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB105, bitIndex0)) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105) | (~v84(constB105, bitIndex0))))),
% 135.18/85.83 inference(monotonicity,[status(thm)],[9491])).
% 135.18/85.83 tff(9493,plain,
% 135.18/85.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB105, bitIndex0)) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105) | (~v84(constB105, bitIndex0)))),
% 135.18/85.83 inference(transitivity,[status(thm)],[9492, 9490])).
% 135.18/85.83 tff(9494,plain,
% 135.18/85.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB105, bitIndex0)) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9495,plain,
% 135.18/85.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | v118(constB105) | (~v84(constB105, bitIndex0))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9494, 9493])).
% 135.18/85.83 tff(9496,plain,
% 135.18/85.83 (v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | (~v84(constB105, bitIndex0))),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9495, 1018, 9489])).
% 135.18/85.83 tff(9497,plain,
% 135.18/85.83 ($false),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9496, 9488, 9480, 8935])).
% 135.18/85.83 tff(9498,plain,(v84(constB105, bitIndex1) | v118(constB105) | v145(constB105) | v113(constB105) | v172(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9499,plain,
% 135.18/85.83 (v113(constB105)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9498, 9467, 9441, 9434, 9430])).
% 135.18/85.83 tff(9500,plain,
% 135.18/85.83 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB105) | (~v113(constB105)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB105) | (~v113(constB105)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9501,plain,
% 135.18/85.83 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB105) | (~v113(constB105)))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9502,plain,
% 135.18/85.83 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB105) | (~v113(constB105))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9501, 9500])).
% 135.18/85.83 tff(9503,plain,
% 135.18/85.83 ($false),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9502, 969, 9499, 9426])).
% 135.18/85.83 tff(9504,plain,(v107(constB105) | v84(constB105, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9505,plain,
% 135.18/85.83 (v107(constB105)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9504, 9417])).
% 135.18/85.83 tff(9506,plain,
% 135.18/85.83 ($false),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9389, 9505, 9370])).
% 135.18/85.83 tff(9507,plain,(v94(constB106) | v84(constB106, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9508,plain,
% 135.18/85.83 (v84(constB106, bitIndex0)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9507, 9336])).
% 135.18/85.83 tff(9509,assumption,(~v84(constB106, bitIndex1)), introduced(assumption)).
% 135.18/85.83 tff(9510,plain,
% 135.18/85.83 (v84(constB105, bitIndex0)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9504, 9390])).
% 135.18/85.83 tff(9511,plain,
% 135.18/85.83 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9512,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_106_1')).
% 135.18/85.83 tff(9513,plain,
% 135.18/85.83 (nextState(constB106, constB107)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9512, 9511])).
% 135.18/85.83 tff(9514,plain,
% 135.18/85.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9515,plain,
% 135.18/85.83 (((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107)) <=> (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9516,plain,
% 135.18/85.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))))),
% 135.18/85.83 inference(monotonicity,[status(thm)],[9515])).
% 135.18/85.83 tff(9517,plain,
% 135.18/85.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107)))),
% 135.18/85.83 inference(transitivity,[status(thm)],[9516, 9514])).
% 135.18/85.83 tff(9518,plain,
% 135.18/85.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB106, constB107)) | (~v95(constB107)) | v1(constB107))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9519,plain,
% 135.18/85.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB107) | (~nextState(constB106, constB107)) | (~v95(constB107))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9518, 9517])).
% 135.18/85.83 tff(9520,plain,
% 135.18/85.83 (~v95(constB107)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9519, 742, 9513, 6564])).
% 135.18/85.83 tff(9521,plain,
% 135.18/85.83 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9522,plain,
% 135.18/85.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107)))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9523,plain,
% 135.18/85.83 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB106, constB107)) | v95(constB107) | (~v94(constB107))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9522, 9521])).
% 135.18/85.83 tff(9524,plain,
% 135.18/85.83 (v95(constB107) | (~v94(constB107))),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9523, 759, 9513])).
% 135.18/85.83 tff(9525,plain,
% 135.18/85.83 (~v94(constB107)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9524, 9520])).
% 135.18/85.83 tff(9526,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB106, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB106, bitIndex1))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9527,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB106, bitIndex1))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9528,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex1)) | (~v84(constB107, bitIndex1)) | v84(constB106, bitIndex1)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 135.18/85.83 tff(9529,plain,
% 135.18/85.83 ($false),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9528, 805, 823, 9513, 9525, 9509, 6671])).
% 135.18/85.83 tff(9530,plain,((~v84(constB107, bitIndex1)) | v84(constB106, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9531,plain,
% 135.18/85.83 (~v84(constB107, bitIndex1)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9530, 9509])).
% 135.18/85.83 tff(9532,assumption,(v84(constB106, bitIndex0)), introduced(assumption)).
% 135.18/85.83 tff(9533,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB106, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB106, bitIndex0)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9534,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB106, bitIndex0)))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9535,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB106, bitIndex0))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9534, 9533])).
% 135.18/85.83 tff(9536,plain,
% 135.18/85.83 ($false),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9535, 777, 795, 9513, 9525, 9532, 6665])).
% 135.18/85.83 tff(9537,plain,(v84(constB107, bitIndex0) | (~v84(constB106, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9538,plain,
% 135.18/85.83 (v84(constB107, bitIndex0)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9537, 9508])).
% 135.18/85.83 tff(9539,plain,
% 135.18/85.83 (v84(constB107, bitIndex1) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0))),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[6717, 865, 6785])).
% 135.18/85.83 tff(9540,plain,
% 135.18/85.83 (v84(constB107, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9539, 9538, 9531])).
% 135.18/85.83 tff(9541,assumption,(v84(constB107, bitIndex2)), introduced(assumption)).
% 135.18/85.83 tff(9542,assumption,(~v84(constB106, bitIndex2)), introduced(assumption)).
% 135.18/85.83 tff(9543,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB106, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB106, bitIndex2))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9544,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB106, bitIndex2))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9545,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex2)) | (~v84(constB107, bitIndex2)) | v84(constB106, bitIndex2)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 135.18/85.83 tff(9546,plain,
% 135.18/85.83 ($false),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9545, 805, 767, 9513, 9525, 9542, 9541])).
% 135.18/85.83 tff(9547,plain,((~v84(constB107, bitIndex2)) | v84(constB106, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9548,plain,
% 135.18/85.83 (v84(constB106, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9547, 9540])).
% 135.18/85.83 tff(9549,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB106, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB106, bitIndex2)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9550,plain,
% 135.18/85.83 (((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB106, bitIndex2)) | v84(constB105, bitIndex2)) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB106, bitIndex2)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9551,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB106, bitIndex2)) | v84(constB105, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB106, bitIndex2))))),
% 135.18/85.83 inference(monotonicity,[status(thm)],[9550])).
% 135.18/85.83 tff(9552,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB106, bitIndex2)) | v84(constB105, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB106, bitIndex2)))),
% 135.18/85.83 inference(transitivity,[status(thm)],[9551, 9549])).
% 135.18/85.83 tff(9553,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB106, bitIndex2)) | v84(constB105, bitIndex2))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9554,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB105, bitIndex2) | (~v84(constB106, bitIndex2))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9553, 9552])).
% 135.18/85.83 tff(9555,plain,
% 135.18/85.83 (v84(constB105, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9554, 805, 767, 9339, 9336, 9548])).
% 135.18/85.83 tff(9556,assumption,(v118(constB105)), introduced(assumption)).
% 135.18/85.83 tff(9557,plain,
% 135.18/85.83 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB105, bitIndex2) | (~v118(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB105, bitIndex2) | (~v118(constB105)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9558,plain,
% 135.18/85.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB105, bitIndex2) | (~v118(constB105)))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9559,plain,
% 135.18/85.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB105, bitIndex2) | (~v118(constB105))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9558, 9557])).
% 135.18/85.83 tff(9560,plain,
% 135.18/85.83 (v84(constB105, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9559, 5252, 9556])).
% 135.18/85.83 tff(9561,assumption,(v84(constB105, bitIndex2)), introduced(assumption)).
% 135.18/85.83 tff(9562,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB104, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB104, bitIndex2))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9563,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB104, bitIndex2))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9564,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB104, bitIndex2)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 135.18/85.83 tff(9565,plain,
% 135.18/85.83 ($false),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9564, 805, 767, 8911, 8923, 8961, 9561])).
% 135.18/85.83 tff(9566,plain,((~v84(constB105, bitIndex2)) | v84(constB104, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.18/85.83 tff(9567,plain,
% 135.18/85.83 (v84(constB104, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9566, 9560])).
% 135.18/85.83 tff(9568,plain,
% 135.18/85.83 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v118(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v118(constB105)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9569,plain,
% 135.18/85.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v118(constB105)))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9570,plain,
% 135.18/85.83 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v118(constB105))),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 135.18/85.83 tff(9571,plain,
% 135.18/85.83 (~v84(constB105, bitIndex1)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9570, 2842, 9556])).
% 135.18/85.83 tff(9572,plain,
% 135.18/85.83 (~v84(constB104, bitIndex1)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[8940, 9571])).
% 135.18/85.83 tff(9573,plain,
% 135.18/85.83 (v94(constB104)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9330, 9572])).
% 135.18/85.83 tff(9574,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB104)) | (~v84(constB104, bitIndex2)) | v123(constB104, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB104)) | (~v84(constB104, bitIndex2)) | v123(constB104, bitIndex2))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9575,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB104)) | (~v84(constB104, bitIndex2)) | v123(constB104, bitIndex2))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9576,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB104)) | (~v84(constB104, bitIndex2)) | v123(constB104, bitIndex2)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9575, 9574])).
% 135.18/85.83 tff(9577,plain,
% 135.18/85.83 (v123(constB104, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9576, 1344, 767, 9573, 9567])).
% 135.18/85.83 tff(9578,plain,
% 135.18/85.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex2)) | (~v123(constB104, bitIndex2)) | v121(constB103, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex2)) | (~v123(constB104, bitIndex2)) | v121(constB103, bitIndex2))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9579,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex2)) | (~v123(constB104, bitIndex2)) | v121(constB103, bitIndex2))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9580,plain,
% 135.18/85.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex2)) | (~v123(constB104, bitIndex2)) | v121(constB103, bitIndex2)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 135.18/85.83 tff(9581,plain,
% 135.18/85.83 (v121(constB103, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9580, 1362, 767, 8973, 9577])).
% 135.18/85.83 tff(9582,plain,
% 135.18/85.83 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex2)) | (~v121(constB103, bitIndex2)) | v124(constB103, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex2)) | (~v121(constB103, bitIndex2)) | v124(constB103, bitIndex2))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9583,plain,
% 135.18/85.83 ((v26(constB103) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~v121(constB103, bitIndex2))) <=> (v26(constB103) | (~less_3(bitIndex2)) | (~v121(constB103, bitIndex2)) | v124(constB103, bitIndex2))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9584,plain,
% 135.18/85.83 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~v121(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex2)) | (~v121(constB103, bitIndex2)) | v124(constB103, bitIndex2)))),
% 135.18/85.83 inference(monotonicity,[status(thm)],[9583])).
% 135.18/85.83 tff(9585,plain,
% 135.18/85.83 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~v121(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex2)) | (~v121(constB103, bitIndex2)) | v124(constB103, bitIndex2))),
% 135.18/85.83 inference(transitivity,[status(thm)],[9584, 9582])).
% 135.18/85.83 tff(9586,plain,
% 135.18/85.83 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex2)) | v124(constB103, bitIndex2) | (~v121(constB103, bitIndex2)))),
% 135.18/85.83 inference(quant_inst,[status(thm)],[])).
% 135.18/85.83 tff(9587,plain,
% 135.18/85.83 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex2)) | (~v121(constB103, bitIndex2)) | v124(constB103, bitIndex2)),
% 135.18/85.83 inference(modus_ponens,[status(thm)],[9586, 9585])).
% 135.18/85.83 tff(9588,plain,
% 135.18/85.83 (v124(constB103, bitIndex2)),
% 135.18/85.83 inference(unit_resolution,[status(thm)],[9587, 1380, 767, 8945, 9581])).
% 135.18/85.83 tff(9589,plain,
% 135.18/85.83 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB103)) | (~v124(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9590,plain,
% 135.18/85.83 (((~v115(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.18/85.83 inference(rewrite,[status(thm)],[])).
% 135.18/85.83 tff(9591,plain,
% 135.18/85.83 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB103)) | (~v124(constB103, bitIndex2))))),
% 135.18/85.83 inference(monotonicity,[status(thm)],[9590])).
% 135.18/85.83 tff(9592,plain,
% 135.18/85.83 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.18/85.84 inference(transitivity,[status(thm)],[9591, 9589])).
% 135.18/85.84 tff(9593,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b011(bitIndex2))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9594,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB103)) | (~v124(constB103, bitIndex2))),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9593, 9592])).
% 135.18/85.84 tff(9595,plain,
% 135.18/85.84 (~v115(constB103)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9594, 2030, 2257, 767, 9588])).
% 135.18/85.84 tff(9596,plain,
% 135.18/85.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB105, bitIndex0) | (~v118(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB105, bitIndex0) | (~v118(constB105)))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9597,plain,
% 135.18/85.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB105, bitIndex0) | (~v118(constB105)))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9598,plain,
% 135.18/85.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB105, bitIndex0) | (~v118(constB105))),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9597, 9596])).
% 135.18/85.84 tff(9599,plain,
% 135.18/85.84 (v84(constB105, bitIndex0)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9598, 2642, 9556])).
% 135.18/85.84 tff(9600,plain,
% 135.18/85.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB104, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB104, bitIndex0))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9601,plain,
% 135.18/85.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB104, bitIndex0))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9602,plain,
% 135.18/85.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB104, constB105)) | v94(constB105) | (~less_3(bitIndex0)) | (~v84(constB105, bitIndex0)) | v84(constB104, bitIndex0)),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9601, 9600])).
% 135.18/85.84 tff(9603,plain,
% 135.18/85.84 (v84(constB104, bitIndex0)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9602, 805, 795, 8911, 8923, 9599])).
% 135.18/85.84 tff(9604,plain,
% 135.18/85.84 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB104)) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB104)) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9605,plain,
% 135.18/85.84 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB104)) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9606,plain,
% 135.18/85.84 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB104)) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0)),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 135.18/85.84 tff(9607,plain,
% 135.18/85.84 (v123(constB104, bitIndex0)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9606, 1344, 795, 9573, 9603])).
% 135.18/85.84 tff(9608,plain,
% 135.18/85.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex0)) | (~v123(constB104, bitIndex0)) | v121(constB103, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex0)) | (~v123(constB104, bitIndex0)) | v121(constB103, bitIndex0))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9609,plain,
% 135.18/85.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex0)) | (~v123(constB104, bitIndex0)) | v121(constB103, bitIndex0))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9610,plain,
% 135.18/85.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex0)) | (~v123(constB104, bitIndex0)) | v121(constB103, bitIndex0)),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9609, 9608])).
% 135.18/85.84 tff(9611,plain,
% 135.18/85.84 (v121(constB103, bitIndex0)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9610, 1362, 795, 8973, 9607])).
% 135.18/85.84 tff(9612,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex0)) | (~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex0)) | (~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9613,plain,
% 135.18/85.84 ((v26(constB103) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0))) <=> (v26(constB103) | (~less_3(bitIndex0)) | (~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9614,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex0)) | (~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0)))),
% 135.18/85.84 inference(monotonicity,[status(thm)],[9613])).
% 135.18/85.84 tff(9615,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex0)) | (~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0))),
% 135.18/85.84 inference(transitivity,[status(thm)],[9614, 9612])).
% 135.18/85.84 tff(9616,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex0)) | v124(constB103, bitIndex0) | (~v121(constB103, bitIndex0)))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9617,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex0)) | (~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0)),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 135.18/85.84 tff(9618,plain,
% 135.18/85.84 (v124(constB103, bitIndex0)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 9611])).
% 135.18/85.84 tff(9619,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB103)) | (~v124(constB103, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9620,plain,
% 135.18/85.84 (((~v116(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9621,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB103)) | (~v124(constB103, bitIndex0))))),
% 135.18/85.84 inference(monotonicity,[status(thm)],[9620])).
% 135.18/85.84 tff(9622,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.18/85.84 inference(transitivity,[status(thm)],[9621, 9619])).
% 135.18/85.84 tff(9623,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b100(bitIndex0))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9624,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB103)) | (~v124(constB103, bitIndex0))),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 135.18/85.84 tff(9625,plain,
% 135.18/85.84 (~v116(constB103)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9624, 2386, 2164, 795, 9618])).
% 135.18/85.84 tff(9626,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB103)) | (~v124(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9627,plain,
% 135.18/85.84 (((~v118(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9628,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB103)) | (~v124(constB103, bitIndex2))))),
% 135.18/85.84 inference(monotonicity,[status(thm)],[9627])).
% 135.18/85.84 tff(9629,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.18/85.84 inference(transitivity,[status(thm)],[9628, 9626])).
% 135.18/85.84 tff(9630,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b011(bitIndex2))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9631,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB103)) | (~v124(constB103, bitIndex2))),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 135.18/85.84 tff(9632,plain,
% 135.18/85.84 (~v118(constB103)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9631, 2030, 2027, 767, 9588])).
% 135.18/85.84 tff(9633,plain,
% 135.18/85.84 (~v123(constB104, bitIndex1)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9025, 1674, 823, 9573, 9572])).
% 135.18/85.84 tff(9634,plain,
% 135.18/85.84 (~v121(constB103, bitIndex1)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9029, 1708, 823, 8973, 9633])).
% 135.18/85.84 tff(9635,plain,
% 135.18/85.84 (~v124(constB103, bitIndex1)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9036, 1728, 823, 8945, 9634])).
% 135.18/85.84 tff(9636,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB103)) | v124(constB103, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB103)) | v124(constB103, bitIndex1))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9637,plain,
% 135.18/85.84 (((~v172(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB103)) | v124(constB103, bitIndex1))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9638,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB103)) | v124(constB103, bitIndex1)))),
% 135.18/85.84 inference(monotonicity,[status(thm)],[9637])).
% 135.18/85.84 tff(9639,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB103)) | v124(constB103, bitIndex1))),
% 135.18/85.84 inference(transitivity,[status(thm)],[9638, 9636])).
% 135.18/85.84 tff(9640,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b110(bitIndex1)))),
% 135.18/85.84 inference(quant_inst,[status(thm)],[])).
% 135.18/85.84 tff(9641,plain,
% 135.18/85.84 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB103)) | v124(constB103, bitIndex1)),
% 135.18/85.84 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 135.18/85.84 tff(9642,plain,
% 135.18/85.84 (~v172(constB103)),
% 135.18/85.84 inference(unit_resolution,[status(thm)],[9641, 1801, 1798, 823, 9635])).
% 135.18/85.84 tff(9643,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB103)) | (~v124(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9644,plain,
% 135.18/85.84 (((~v145(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.18/85.84 inference(rewrite,[status(thm)],[])).
% 135.18/85.84 tff(9645,plain,
% 135.18/85.84 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB103)) | (~v124(constB103, bitIndex2))))),
% 135.20/85.84 inference(monotonicity,[status(thm)],[9644])).
% 135.20/85.84 tff(9646,plain,
% 135.20/85.84 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB103)) | (~v124(constB103, bitIndex2)))),
% 135.20/85.84 inference(transitivity,[status(thm)],[9645, 9643])).
% 135.20/85.84 tff(9647,plain,
% 135.20/85.84 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB103)) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b010(bitIndex2))),
% 135.20/85.84 inference(quant_inst,[status(thm)],[])).
% 135.20/85.84 tff(9648,plain,
% 135.20/85.84 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB103)) | (~v124(constB103, bitIndex2))),
% 135.20/85.84 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 135.20/85.84 tff(9649,plain,
% 135.20/85.84 (~v145(constB103)),
% 135.20/85.84 inference(unit_resolution,[status(thm)],[9648, 1419, 1416, 767, 9588])).
% 135.20/85.84 tff(9650,plain,
% 135.20/85.84 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB103)) | (~v124(constB103, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.20/85.84 inference(rewrite,[status(thm)],[])).
% 135.20/85.84 tff(9651,plain,
% 135.20/85.84 (((~v113(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.20/85.84 inference(rewrite,[status(thm)],[])).
% 135.20/85.84 tff(9652,plain,
% 135.20/85.84 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB103)) | (~v124(constB103, bitIndex0))))),
% 135.20/85.84 inference(monotonicity,[status(thm)],[9651])).
% 135.20/85.84 tff(9653,plain,
% 135.20/85.84 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.20/85.84 inference(transitivity,[status(thm)],[9652, 9650])).
% 135.20/85.84 tff(9654,plain,
% 135.20/85.84 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b100(bitIndex0))),
% 135.20/85.84 inference(quant_inst,[status(thm)],[])).
% 135.20/85.84 tff(9655,plain,
% 135.20/85.84 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB103)) | (~v124(constB103, bitIndex0))),
% 135.20/85.84 inference(modus_ponens,[status(thm)],[9654, 9653])).
% 135.20/85.84 tff(9656,plain,
% 135.20/85.84 (~v113(constB103)),
% 135.20/85.84 inference(unit_resolution,[status(thm)],[9655, 2386, 2186, 795, 9618])).
% 135.20/85.84 tff(9657,plain,
% 135.20/85.84 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex2)))),
% 135.20/85.84 inference(rewrite,[status(thm)],[])).
% 135.20/85.84 tff(9658,plain,
% 135.20/85.84 ((v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex2)))),
% 135.20/85.84 inference(rewrite,[status(thm)],[])).
% 135.20/85.84 tff(9659,plain,
% 135.20/85.84 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex2))))),
% 135.20/85.84 inference(monotonicity,[status(thm)],[9658])).
% 135.20/85.84 tff(9660,plain,
% 135.20/85.84 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex2)))),
% 135.20/85.84 inference(transitivity,[status(thm)],[9659, 9657])).
% 135.20/85.84 tff(9661,plain,
% 135.20/85.84 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex2)) | (~v124(constB103, bitIndex2)) | b001(bitIndex2))),
% 135.20/85.84 inference(quant_inst,[status(thm)],[])).
% 135.20/85.84 tff(9662,plain,
% 135.20/85.84 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex2))),
% 135.20/85.84 inference(modus_ponens,[status(thm)],[9661, 9660])).
% 135.20/85.84 tff(9663,plain,
% 135.20/85.84 (v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103)),
% 135.20/85.84 inference(unit_resolution,[status(thm)],[9662, 2427, 2424, 767, 9588])).
% 135.20/85.84 tff(9664,plain,
% 135.20/85.84 ($false),
% 135.20/85.84 inference(unit_resolution,[status(thm)],[9663, 9656, 9649, 9642, 9632, 9625, 9595])).
% 135.20/85.84 tff(9665,plain,(~v118(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.84 tff(9666,plain,
% 135.20/85.84 (v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)) | (~v84(constB105, bitIndex0))),
% 135.20/85.84 inference(unit_resolution,[status(thm)],[9495, 1018, 9665])).
% 135.20/85.84 tff(9667,plain,
% 135.20/85.84 (v84(constB105, bitIndex1)),
% 135.20/85.84 inference(unit_resolution,[status(thm)],[9666, 9555, 9510])).
% 135.20/85.84 tff(9668,plain,
% 135.20/85.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB106, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB106, bitIndex1))),
% 135.20/85.84 inference(rewrite,[status(thm)],[])).
% 135.20/85.84 tff(9669,plain,
% 135.20/85.84 (((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB106, bitIndex1) | (~v84(constB105, bitIndex1))) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB106, bitIndex1))),
% 135.20/85.84 inference(rewrite,[status(thm)],[])).
% 135.20/85.84 tff(9670,plain,
% 135.20/85.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB106, bitIndex1) | (~v84(constB105, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB106, bitIndex1)))),
% 135.20/85.84 inference(monotonicity,[status(thm)],[9669])).
% 135.20/85.84 tff(9671,plain,
% 135.20/85.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB106, bitIndex1) | (~v84(constB105, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB106, bitIndex1))),
% 135.20/85.84 inference(transitivity,[status(thm)],[9670, 9668])).
% 135.20/85.84 tff(9672,plain,
% 135.20/85.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB106, bitIndex1) | (~v84(constB105, bitIndex1)))),
% 135.20/85.84 inference(quant_inst,[status(thm)],[])).
% 135.20/85.84 tff(9673,plain,
% 135.20/85.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB105, bitIndex1)) | v84(constB106, bitIndex1)),
% 135.20/85.84 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 135.20/85.84 tff(9674,plain,
% 135.20/85.84 ($false),
% 135.20/85.84 inference(unit_resolution,[status(thm)],[9673, 777, 823, 9339, 9336, 9509, 9667])).
% 135.20/85.84 tff(9675,plain,(v94(constB106) | v84(constB106, bitIndex1) | v145(constB107)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.84 tff(9676,plain,
% 135.20/85.84 (v145(constB107)),
% 135.20/85.84 inference(unit_resolution,[status(thm)],[9675, 9336, 9509])).
% 135.20/85.84 tff(9677,plain,
% 135.20/85.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB107)) | (~v84(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB107)) | (~v84(constB107, bitIndex2)))),
% 135.20/85.84 inference(rewrite,[status(thm)],[])).
% 135.20/85.84 tff(9678,plain,
% 135.20/85.84 (((~v84(constB107, bitIndex2)) | (~v145(constB107))) <=> ((~v145(constB107)) | (~v84(constB107, bitIndex2)))),
% 135.20/85.84 inference(rewrite,[status(thm)],[])).
% 135.20/85.84 tff(9679,plain,
% 135.20/85.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB107)) | (~v84(constB107, bitIndex2))))),
% 135.20/85.84 inference(monotonicity,[status(thm)],[9678])).
% 135.20/85.84 tff(9680,plain,
% 135.20/85.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB107)) | (~v84(constB107, bitIndex2)))),
% 135.20/85.84 inference(transitivity,[status(thm)],[9679, 9677])).
% 135.20/85.84 tff(9681,plain,
% 135.20/85.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v145(constB107)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9682,plain,
% 135.20/85.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB107)) | (~v84(constB107, bitIndex2))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9681, 9680])).
% 135.20/85.85 tff(9683,plain,
% 135.20/85.85 (~v84(constB107, bitIndex2)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9682, 725, 9676])).
% 135.20/85.85 tff(9684,assumption,(v84(constB106, bitIndex2)), introduced(assumption)).
% 135.20/85.85 tff(9685,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB106, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB106, bitIndex2)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9686,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB106, bitIndex2)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9687,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB106, bitIndex2))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9686, 9685])).
% 135.20/85.85 tff(9688,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9687, 777, 767, 9513, 9525, 9684, 6786])).
% 135.20/85.85 tff(9689,plain,(v84(constB107, bitIndex2) | (~v84(constB106, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9690,plain,
% 135.20/85.85 (~v84(constB106, bitIndex2)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9689, 9683])).
% 135.20/85.85 tff(9691,plain,
% 135.20/85.85 (v94(constB106) | (~v84(constB105, bitIndex1))),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9673, 777, 823, 9339, 9509])).
% 135.20/85.85 tff(9692,plain,
% 135.20/85.85 (~v84(constB105, bitIndex1)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9691, 9336])).
% 135.20/85.85 tff(9693,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB106, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB106, bitIndex0)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9694,plain,
% 135.20/85.85 (((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB106, bitIndex0)) | v84(constB105, bitIndex0)) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB106, bitIndex0)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9695,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB106, bitIndex0)) | v84(constB105, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB106, bitIndex0))))),
% 135.20/85.85 inference(monotonicity,[status(thm)],[9694])).
% 135.20/85.85 tff(9696,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB106, bitIndex0)) | v84(constB105, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB106, bitIndex0)))),
% 135.20/85.85 inference(transitivity,[status(thm)],[9695, 9693])).
% 135.20/85.85 tff(9697,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | (~v84(constB106, bitIndex0)) | v84(constB105, bitIndex0))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9698,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex0)) | v84(constB105, bitIndex0) | (~v84(constB106, bitIndex0))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9697, 9696])).
% 135.20/85.85 tff(9699,plain,
% 135.20/85.85 (v94(constB106) | v84(constB105, bitIndex0)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9698, 805, 795, 9339, 9532])).
% 135.20/85.85 tff(9700,plain,
% 135.20/85.85 (v84(constB105, bitIndex0)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9699, 9336])).
% 135.20/85.85 tff(9701,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB106, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB106, bitIndex2))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9702,plain,
% 135.20/85.85 (((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB106, bitIndex2) | (~v84(constB105, bitIndex2))) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB106, bitIndex2))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9703,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB106, bitIndex2) | (~v84(constB105, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB106, bitIndex2)))),
% 135.20/85.85 inference(monotonicity,[status(thm)],[9702])).
% 135.20/85.85 tff(9704,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB106, bitIndex2) | (~v84(constB105, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB106, bitIndex2))),
% 135.20/85.85 inference(transitivity,[status(thm)],[9703, 9701])).
% 135.20/85.85 tff(9705,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | v84(constB106, bitIndex2) | (~v84(constB105, bitIndex2)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9706,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex2)) | (~v84(constB105, bitIndex2)) | v84(constB106, bitIndex2)),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9705, 9704])).
% 135.20/85.85 tff(9707,plain,
% 135.20/85.85 (v94(constB106) | (~v84(constB105, bitIndex2))),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9706, 777, 767, 9339, 9542])).
% 135.20/85.85 tff(9708,plain,
% 135.20/85.85 (~v84(constB105, bitIndex2)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9707, 9336])).
% 135.20/85.85 tff(9709,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9487, 9708, 9700, 9692])).
% 135.20/85.85 tff(9710,plain,(v94(constB106) | v145(constB105) | v84(constB106, bitIndex1) | v84(constB106, bitIndex2) | (~v84(constB106, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9711,plain,
% 135.20/85.85 (v145(constB105)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9710, 9690, 9509, 9508, 9336])).
% 135.20/85.85 tff(9712,plain,
% 135.20/85.85 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB105) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB105) | (~v145(constB105)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9713,plain,
% 135.20/85.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB105) | (~v145(constB105)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9714,plain,
% 135.20/85.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB105) | (~v145(constB105))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9713, 9712])).
% 135.20/85.85 tff(9715,plain,
% 135.20/85.85 (v112(constB105)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9714, 713, 9711])).
% 135.20/85.85 tff(9716,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9425, 702, 9715, 9406])).
% 135.20/85.85 tff(9717,plain,(v94(constB106) | v84(constB106, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9718,plain,
% 135.20/85.85 (v84(constB106, bitIndex1)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9717, 9336])).
% 135.20/85.85 tff(9719,assumption,(v84(constB106, bitIndex1)), introduced(assumption)).
% 135.20/85.85 tff(9720,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB106, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB106, bitIndex1)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9721,plain,
% 135.20/85.85 (((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB106, bitIndex1)) | v84(constB105, bitIndex1)) <=> ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB106, bitIndex1)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9722,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB106, bitIndex1)) | v84(constB105, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB106, bitIndex1))))),
% 135.20/85.85 inference(monotonicity,[status(thm)],[9721])).
% 135.20/85.85 tff(9723,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB106, bitIndex1)) | v84(constB105, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB106, bitIndex1)))),
% 135.20/85.85 inference(transitivity,[status(thm)],[9722, 9720])).
% 135.20/85.85 tff(9724,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | (~v84(constB106, bitIndex1)) | v84(constB105, bitIndex1))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9725,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB105, constB106)) | v94(constB106) | (~less_3(bitIndex1)) | v84(constB105, bitIndex1) | (~v84(constB106, bitIndex1))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 135.20/85.85 tff(9726,plain,
% 135.20/85.85 (v94(constB106) | v84(constB105, bitIndex1)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9725, 805, 823, 9339, 9719])).
% 135.20/85.85 tff(9727,plain,
% 135.20/85.85 (v84(constB105, bitIndex1)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9726, 9336])).
% 135.20/85.85 tff(9728,plain,
% 135.20/85.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)) | v116(constB105))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)) | v116(constB105))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9729,plain,
% 135.20/85.85 (((~v84(constB105, bitIndex0)) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | v116(constB105)) <=> ((~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)) | v116(constB105))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9730,plain,
% 135.20/85.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB105, bitIndex0)) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | v116(constB105))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)) | v116(constB105)))),
% 135.20/85.85 inference(monotonicity,[status(thm)],[9729])).
% 135.20/85.85 tff(9731,plain,
% 135.20/85.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB105, bitIndex0)) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | v116(constB105))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)) | v116(constB105))),
% 135.20/85.85 inference(transitivity,[status(thm)],[9730, 9728])).
% 135.20/85.85 tff(9732,plain,
% 135.20/85.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB105, bitIndex0)) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | v116(constB105))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9733,plain,
% 135.20/85.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB105, bitIndex1)) | v84(constB105, bitIndex2) | (~v84(constB105, bitIndex0)) | v116(constB105)),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9732, 9731])).
% 135.20/85.85 tff(9734,plain,
% 135.20/85.85 (v116(constB105)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9733, 1076, 9700, 9727, 9708])).
% 135.20/85.85 tff(9735,plain,
% 135.20/85.85 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB105) | (~v116(constB105)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB105) | (~v116(constB105)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9736,plain,
% 135.20/85.85 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB105) | (~v116(constB105)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9737,plain,
% 135.20/85.85 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB105) | (~v116(constB105))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9736, 9735])).
% 135.20/85.85 tff(9738,plain,
% 135.20/85.85 (v110(constB105)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9737, 934, 9734])).
% 135.20/85.85 tff(9739,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9401, 680, 9398, 9738])).
% 135.20/85.85 tff(9740,plain,(v94(constB106) | (~v84(constB106, bitIndex0)) | v84(constB106, bitIndex2) | (~v84(constB106, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9741,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9740, 9508, 9336, 9542, 9719])).
% 135.20/85.85 tff(9742,plain,(v94(constB106) | v84(constB106, bitIndex2) | (~v84(constB106, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9743,plain,
% 135.20/85.85 (v84(constB106, bitIndex2)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9742, 9336, 9718])).
% 135.20/85.85 tff(9744,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9554, 805, 767, 9339, 9336, 9743, 8904])).
% 135.20/85.85 tff(9745,plain,(v94(constB106) | v84(constB105, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9746,plain,
% 135.20/85.85 (v84(constB105, bitIndex2)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9745, 9336])).
% 135.20/85.85 tff(9747,plain,
% 135.20/85.85 (v84(constB105, bitIndex1)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9666, 9510, 9746])).
% 135.20/85.85 tff(9748,plain,
% 135.20/85.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v172(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v172(constB105)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9749,plain,
% 135.20/85.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v172(constB105)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9750,plain,
% 135.20/85.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB105, bitIndex1)) | (~v172(constB105))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9749, 9748])).
% 135.20/85.85 tff(9751,plain,
% 135.20/85.85 (~v172(constB105)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9750, 2289, 9747])).
% 135.20/85.85 tff(9752,assumption,(v119(constB107)), introduced(assumption)).
% 135.20/85.85 tff(9753,plain,
% 135.20/85.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB107)) | (~v84(constB107, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB107)) | (~v84(constB107, bitIndex0)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9754,plain,
% 135.20/85.85 (((~v84(constB107, bitIndex0)) | (~v119(constB107))) <=> ((~v119(constB107)) | (~v84(constB107, bitIndex0)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9755,plain,
% 135.20/85.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB107)) | (~v84(constB107, bitIndex0))))),
% 135.20/85.85 inference(monotonicity,[status(thm)],[9754])).
% 135.20/85.85 tff(9756,plain,
% 135.20/85.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB107)) | (~v84(constB107, bitIndex0)))),
% 135.20/85.85 inference(transitivity,[status(thm)],[9755, 9753])).
% 135.20/85.85 tff(9757,plain,
% 135.20/85.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v119(constB107)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9758,plain,
% 135.20/85.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB107)) | (~v84(constB107, bitIndex0))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9757, 9756])).
% 135.20/85.85 tff(9759,plain,
% 135.20/85.85 (~v84(constB107, bitIndex0)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9758, 3173, 9752])).
% 135.20/85.85 tff(9760,plain,
% 135.20/85.85 (~v84(constB106, bitIndex0)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9537, 9759])).
% 135.20/85.85 tff(9761,plain,
% 135.20/85.85 (v94(constB106)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9507, 9760])).
% 135.20/85.85 tff(9762,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v84(constB106, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v84(constB106, bitIndex0))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9763,plain,
% 135.20/85.85 (((~less_3(bitIndex0)) | (~v94(constB106)) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0))) <=> ((~v94(constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v84(constB106, bitIndex0))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9764,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB106)) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v84(constB106, bitIndex0)))),
% 135.20/85.85 inference(monotonicity,[status(thm)],[9763])).
% 135.20/85.85 tff(9765,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB106)) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v84(constB106, bitIndex0))),
% 135.20/85.85 inference(transitivity,[status(thm)],[9764, 9762])).
% 135.20/85.85 tff(9766,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB106)) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9767,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v84(constB106, bitIndex0)),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 135.20/85.85 tff(9768,plain,
% 135.20/85.85 (~v123(constB106, bitIndex0)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9767, 1674, 795, 9761, 9760])).
% 135.20/85.85 tff(9769,assumption,(v121(constB105, bitIndex0)), introduced(assumption)).
% 135.20/85.85 tff(9770,assumption,(~v123(constB106, bitIndex0)), introduced(assumption)).
% 135.20/85.85 tff(9771,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex0)) | v123(constB106, bitIndex0) | (~v121(constB105, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex0)) | v123(constB106, bitIndex0) | (~v121(constB105, bitIndex0)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9772,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex0)) | v123(constB106, bitIndex0) | (~v121(constB105, bitIndex0)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9773,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex0)) | v123(constB106, bitIndex0) | (~v121(constB105, bitIndex0))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9772, 9771])).
% 135.20/85.85 tff(9774,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9773, 1708, 795, 9339, 9770, 9769])).
% 135.20/85.85 tff(9775,plain,(v123(constB106, bitIndex0) | (~v121(constB105, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9776,plain,
% 135.20/85.85 (~v121(constB105, bitIndex0)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9775, 9768])).
% 135.20/85.85 tff(9777,assumption,(~v121(constB105, bitIndex0)), introduced(assumption)).
% 135.20/85.85 tff(9778,assumption,(v124(constB105, bitIndex0)), introduced(assumption)).
% 135.20/85.85 tff(9779,assumption,(v26(constB105)), introduced(assumption)).
% 135.20/85.85 tff(9780,plain,
% 135.20/85.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9781,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9780, 1172, 9779])).
% 135.20/85.85 tff(9782,plain,(~v26(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9783,plain,
% 135.20/85.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex0)) | v121(constB105, bitIndex0) | (~v124(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex0)) | v121(constB105, bitIndex0) | (~v124(constB105, bitIndex0)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9784,plain,
% 135.20/85.85 ((v26(constB105) | v121(constB105, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0))) <=> (v26(constB105) | (~less_3(bitIndex0)) | v121(constB105, bitIndex0) | (~v124(constB105, bitIndex0)))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9785,plain,
% 135.20/85.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex0)) | v121(constB105, bitIndex0) | (~v124(constB105, bitIndex0))))),
% 135.20/85.85 inference(monotonicity,[status(thm)],[9784])).
% 135.20/85.85 tff(9786,plain,
% 135.20/85.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex0)) | v121(constB105, bitIndex0) | (~v124(constB105, bitIndex0)))),
% 135.20/85.85 inference(transitivity,[status(thm)],[9785, 9783])).
% 135.20/85.85 tff(9787,plain,
% 135.20/85.85 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9788,plain,
% 135.20/85.85 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex0)) | v121(constB105, bitIndex0) | (~v124(constB105, bitIndex0))),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 135.20/85.85 tff(9789,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9788, 1728, 795, 9782, 9778, 9777])).
% 135.20/85.85 tff(9790,plain,(v121(constB105, bitIndex0) | (~v124(constB105, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9791,plain,
% 135.20/85.85 (~v124(constB105, bitIndex0)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9790, 9776])).
% 135.20/85.85 tff(9792,plain,
% 135.20/85.85 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB107)) | v84(constB107, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB107)) | v84(constB107, bitIndex2))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9793,plain,
% 135.20/85.85 ((v84(constB107, bitIndex2) | (~v119(constB107))) <=> ((~v119(constB107)) | v84(constB107, bitIndex2))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9794,plain,
% 135.20/85.85 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB107, bitIndex2) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB107)) | v84(constB107, bitIndex2)))),
% 135.20/85.85 inference(monotonicity,[status(thm)],[9793])).
% 135.20/85.85 tff(9795,plain,
% 135.20/85.85 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB107, bitIndex2) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB107)) | v84(constB107, bitIndex2))),
% 135.20/85.85 inference(transitivity,[status(thm)],[9794, 9792])).
% 135.20/85.85 tff(9796,plain,
% 135.20/85.85 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB107, bitIndex2) | (~v119(constB107)))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9797,plain,
% 135.20/85.85 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB107)) | v84(constB107, bitIndex2)),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9796, 9795])).
% 135.20/85.85 tff(9798,plain,
% 135.20/85.85 (v84(constB107, bitIndex2)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9797, 7833, 9752])).
% 135.20/85.85 tff(9799,plain,
% 135.20/85.85 (v84(constB106, bitIndex2)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9547, 9798])).
% 135.20/85.85 tff(9800,assumption,(~v123(constB106, bitIndex2)), introduced(assumption)).
% 135.20/85.85 tff(9801,assumption,(v94(constB106)), introduced(assumption)).
% 135.20/85.85 tff(9802,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB106)) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB106)) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9803,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB106)) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9804,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB106)) | (~v84(constB106, bitIndex2)) | v123(constB106, bitIndex2)),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9803, 9802])).
% 135.20/85.85 tff(9805,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9804, 1344, 767, 9801, 9684, 9800])).
% 135.20/85.85 tff(9806,plain,((~v84(constB106, bitIndex2)) | (~v94(constB106)) | v123(constB106, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.85 tff(9807,plain,
% 135.20/85.85 (v123(constB106, bitIndex2)),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9806, 9761, 9799])).
% 135.20/85.85 tff(9808,assumption,(v123(constB106, bitIndex2)), introduced(assumption)).
% 135.20/85.85 tff(9809,assumption,(~v121(constB105, bitIndex2)), introduced(assumption)).
% 135.20/85.85 tff(9810,plain,
% 135.20/85.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v121(constB105, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v121(constB105, bitIndex2))),
% 135.20/85.85 inference(rewrite,[status(thm)],[])).
% 135.20/85.85 tff(9811,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v121(constB105, bitIndex2))),
% 135.20/85.85 inference(quant_inst,[status(thm)],[])).
% 135.20/85.85 tff(9812,plain,
% 135.20/85.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v121(constB105, bitIndex2)),
% 135.20/85.85 inference(modus_ponens,[status(thm)],[9811, 9810])).
% 135.20/85.85 tff(9813,plain,
% 135.20/85.85 ($false),
% 135.20/85.85 inference(unit_resolution,[status(thm)],[9812, 1362, 767, 9339, 9809, 9808])).
% 135.20/85.85 tff(9814,plain,((~v123(constB106, bitIndex2)) | v121(constB105, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.86 tff(9815,plain,
% 135.20/85.86 (v121(constB105, bitIndex2)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9814, 9807])).
% 135.20/85.86 tff(9816,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex2)) | (~v121(constB105, bitIndex2)) | v124(constB105, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex2)) | (~v121(constB105, bitIndex2)) | v124(constB105, bitIndex2))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9817,plain,
% 135.20/85.86 ((v26(constB105) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2))) <=> (v26(constB105) | (~less_3(bitIndex2)) | (~v121(constB105, bitIndex2)) | v124(constB105, bitIndex2))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9818,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex2)) | (~v121(constB105, bitIndex2)) | v124(constB105, bitIndex2)))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9817])).
% 135.20/85.86 tff(9819,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex2)) | (~v121(constB105, bitIndex2)) | v124(constB105, bitIndex2))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9818, 9816])).
% 135.20/85.86 tff(9820,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~v121(constB105, bitIndex2)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9821,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex2)) | (~v121(constB105, bitIndex2)) | v124(constB105, bitIndex2)),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9820, 9819])).
% 135.20/85.86 tff(9822,plain,
% 135.20/85.86 (v124(constB105, bitIndex2)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9821, 1380, 767, 9782, 9815])).
% 135.20/85.86 tff(9823,assumption,(v124(constB105, bitIndex2)), introduced(assumption)).
% 135.20/85.86 tff(9824,assumption,(v145(constB105)), introduced(assumption)).
% 135.20/85.86 tff(9825,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB105)) | (~v124(constB105, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB105)) | (~v124(constB105, bitIndex2)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9826,plain,
% 135.20/85.86 (((~v145(constB105)) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB105)) | (~v124(constB105, bitIndex2)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9827,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB105)) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB105)) | (~v124(constB105, bitIndex2))))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9826])).
% 135.20/85.86 tff(9828,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB105)) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB105)) | (~v124(constB105, bitIndex2)))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9827, 9825])).
% 135.20/85.86 tff(9829,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB105)) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b010(bitIndex2))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9830,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB105)) | (~v124(constB105, bitIndex2))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9829, 9828])).
% 135.20/85.86 tff(9831,plain,
% 135.20/85.86 ($false),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9830, 1419, 1416, 767, 9824, 9823])).
% 135.20/85.86 tff(9832,plain,((~v124(constB105, bitIndex2)) | (~v145(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.86 tff(9833,plain,
% 135.20/85.86 (~v145(constB105)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9832, 9822])).
% 135.20/85.86 tff(9834,assumption,(~v124(constB105, bitIndex0)), introduced(assumption)).
% 135.20/85.86 tff(9835,assumption,(~v116(constB105)), introduced(assumption)).
% 135.20/85.86 tff(9836,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9837,plain,
% 135.20/85.86 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9838,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0)))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9837])).
% 135.20/85.86 tff(9839,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9838, 9836])).
% 135.20/85.86 tff(9840,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b001(bitIndex0)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9841,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | v124(constB105, bitIndex0)),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9840, 9839])).
% 135.20/85.86 tff(9842,plain,
% 135.20/85.86 (v115(constB105)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9841, 1213, 1210, 795, 6519, 9335, 9468, 9665, 9835, 9834])).
% 135.20/85.86 tff(9843,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB105)) | v124(constB105, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB105)) | v124(constB105, bitIndex0))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9844,plain,
% 135.20/85.86 (((~v115(constB105)) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB105)) | v124(constB105, bitIndex0))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9845,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB105)) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB105)) | v124(constB105, bitIndex0)))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9844])).
% 135.20/85.86 tff(9846,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB105)) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB105)) | v124(constB105, bitIndex0))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9845, 9843])).
% 135.20/85.86 tff(9847,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB105)) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b011(bitIndex0)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9848,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB105)) | v124(constB105, bitIndex0)),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9847, 9846])).
% 135.20/85.86 tff(9849,plain,
% 135.20/85.86 ($false),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9848, 1148, 1193, 795, 9842, 9834])).
% 135.20/85.86 tff(9850,plain,(v124(constB105, bitIndex0) | v145(constB105) | v113(constB105) | v172(constB105) | v116(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.86 tff(9851,plain,
% 135.20/85.86 (v116(constB105)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9850, 9833, 9335, 9468, 9791])).
% 135.20/85.86 tff(9852,plain,
% 135.20/85.86 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex1) | (~v119(VarCurr))) <=> (v84(VarCurr, bitIndex1) | (~v119(VarCurr))))),
% 135.20/85.86 inference(bind,[status(th)],[])).
% 135.20/85.86 tff(9853,plain,
% 135.20/85.86 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))),
% 135.20/85.86 inference(quant_intro,[status(thm)],[9852])).
% 135.20/85.86 tff(9854,plain,
% 135.20/85.86 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9855,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8_1_1_3')).
% 135.20/85.86 tff(9856,plain,
% 135.20/85.86 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9855, 9854])).
% 135.20/85.86 tff(9857,plain,(
% 135.20/85.86 ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))),
% 135.20/85.86 inference(skolemize,[status(sab)],[9856])).
% 135.20/85.86 tff(9858,plain,
% 135.20/85.86 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9857, 9853])).
% 135.20/85.86 tff(9859,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB107)) | v84(constB107, bitIndex1))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB107)) | v84(constB107, bitIndex1))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9860,plain,
% 135.20/85.86 ((v84(constB107, bitIndex1) | (~v119(constB107))) <=> ((~v119(constB107)) | v84(constB107, bitIndex1))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9861,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB107, bitIndex1) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB107)) | v84(constB107, bitIndex1)))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9860])).
% 135.20/85.86 tff(9862,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB107, bitIndex1) | (~v119(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB107)) | v84(constB107, bitIndex1))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9861, 9859])).
% 135.20/85.86 tff(9863,plain,
% 135.20/85.86 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB107, bitIndex1) | (~v119(constB107)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9864,plain,
% 135.20/85.86 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB107)) | v84(constB107, bitIndex1)),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9863, 9862])).
% 135.20/85.86 tff(9865,plain,
% 135.20/85.86 (v84(constB107, bitIndex1)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9864, 9858, 9752])).
% 135.20/85.86 tff(9866,plain,
% 135.20/85.86 (v84(constB106, bitIndex1)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9530, 9865])).
% 135.20/85.86 tff(9867,plain,
% 135.20/85.86 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB106)) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB106)) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9868,plain,
% 135.20/85.86 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB106)) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9869,plain,
% 135.20/85.86 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB106)) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1)),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9868, 9867])).
% 135.20/85.86 tff(9870,plain,
% 135.20/85.86 (v123(constB106, bitIndex1)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9869, 1344, 823, 9761, 9866])).
% 135.20/85.86 tff(9871,plain,
% 135.20/85.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v121(constB105, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v121(constB105, bitIndex1))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9872,plain,
% 135.20/85.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v121(constB105, bitIndex1))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9873,plain,
% 135.20/85.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v121(constB105, bitIndex1)),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9872, 9871])).
% 135.20/85.86 tff(9874,plain,
% 135.20/85.86 (v121(constB105, bitIndex1)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9873, 1362, 823, 9339, 9870])).
% 135.20/85.86 tff(9875,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex1)) | (~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex1)) | (~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9876,plain,
% 135.20/85.86 ((v26(constB105) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1))) <=> (v26(constB105) | (~less_3(bitIndex1)) | (~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9877,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex1)) | (~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1)))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9876])).
% 135.20/85.86 tff(9878,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex1)) | (~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9877, 9875])).
% 135.20/85.86 tff(9879,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~v121(constB105, bitIndex1)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9880,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex1)) | (~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1)),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 135.20/85.86 tff(9881,plain,
% 135.20/85.86 (v124(constB105, bitIndex1)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9880, 1380, 823, 9782, 9874])).
% 135.20/85.86 tff(9882,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB105)) | (~v124(constB105, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB105)) | (~v124(constB105, bitIndex1)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9883,plain,
% 135.20/85.86 (((~v116(constB105)) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB105)) | (~v124(constB105, bitIndex1)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9884,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB105)) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB105)) | (~v124(constB105, bitIndex1))))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9883])).
% 135.20/85.86 tff(9885,plain,
% 135.20/85.86 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB105)) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB105)) | (~v124(constB105, bitIndex1)))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9884, 9882])).
% 135.20/85.86 tff(9886,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB105)) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b100(bitIndex1))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9887,plain,
% 135.20/85.86 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB105)) | (~v124(constB105, bitIndex1))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9886, 9885])).
% 135.20/85.86 tff(9888,plain,
% 135.20/85.86 ($false),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9887, 2167, 2164, 823, 9881, 9851])).
% 135.20/85.86 tff(9889,plain,((~v119(constB107)) | v113(constB105) | v172(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.86 tff(9890,plain,
% 135.20/85.86 (~v119(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9889, 9751, 9335])).
% 135.20/85.86 tff(9891,assumption,(v107(constB107)), introduced(assumption)).
% 135.20/85.86 tff(9892,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB107) | v119(constB107) | (~v107(constB107)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB107) | v119(constB107) | (~v107(constB107)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9893,plain,
% 135.20/85.86 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB107) | v119(constB107) | (~v107(constB107)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9894,plain,
% 135.20/85.86 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB107) | v119(constB107) | (~v107(constB107))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9893, 9892])).
% 135.20/85.86 tff(9895,plain,
% 135.20/85.86 (v108(constB107) | v119(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9894, 3195, 9891])).
% 135.20/85.86 tff(9896,plain,
% 135.20/85.86 (v108(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9895, 9890])).
% 135.20/85.86 tff(9897,assumption,(~v84(constB107, bitIndex1)), introduced(assumption)).
% 135.20/85.86 tff(9898,plain,
% 135.20/85.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB106, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB106, bitIndex1)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9899,plain,
% 135.20/85.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB106, bitIndex1)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9900,plain,
% 135.20/85.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB106, bitIndex1))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9899, 9898])).
% 135.20/85.86 tff(9901,plain,
% 135.20/85.86 ($false),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9900, 777, 823, 9513, 9525, 9719, 9897])).
% 135.20/85.86 tff(9902,plain,(v84(constB107, bitIndex1) | (~v84(constB106, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.86 tff(9903,plain,
% 135.20/85.86 (v84(constB107, bitIndex1)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9902, 9718])).
% 135.20/85.86 tff(9904,plain,
% 135.20/85.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB107, bitIndex1)) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB107, bitIndex1)) | (~v118(constB107)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9905,plain,
% 135.20/85.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB107, bitIndex1)) | (~v118(constB107)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9906,plain,
% 135.20/85.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB107, bitIndex1)) | (~v118(constB107))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9905, 9904])).
% 135.20/85.86 tff(9907,plain,
% 135.20/85.86 (~v118(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9906, 2842, 9903])).
% 135.20/85.86 tff(9908,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB107) | v118(constB107) | (~v108(constB107)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB107) | v118(constB107) | (~v108(constB107)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9909,plain,
% 135.20/85.86 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB107) | v118(constB107) | (~v108(constB107)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9910,plain,
% 135.20/85.86 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB107) | v118(constB107) | (~v108(constB107))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 135.20/85.86 tff(9911,plain,
% 135.20/85.86 (v109(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9910, 2856, 9907, 9896])).
% 135.20/85.86 tff(9912,plain,
% 135.20/85.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB107, bitIndex1)) | (~v172(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB107, bitIndex1)) | (~v172(constB107)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9913,plain,
% 135.20/85.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB107, bitIndex1)) | (~v172(constB107)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9914,plain,
% 135.20/85.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB107, bitIndex1)) | (~v172(constB107))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 135.20/85.86 tff(9915,plain,
% 135.20/85.86 (~v172(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9914, 2289, 9903])).
% 135.20/85.86 tff(9916,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB107)) | v172(constB107) | v110(constB107))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB107)) | v172(constB107) | v110(constB107))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9917,plain,
% 135.20/85.86 ((v110(constB107) | (~v109(constB107)) | v172(constB107)) <=> ((~v109(constB107)) | v172(constB107) | v110(constB107))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9918,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB107) | (~v109(constB107)) | v172(constB107))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB107)) | v172(constB107) | v110(constB107)))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9917])).
% 135.20/85.86 tff(9919,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB107) | (~v109(constB107)) | v172(constB107))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB107)) | v172(constB107) | v110(constB107))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9918, 9916])).
% 135.20/85.86 tff(9920,plain,
% 135.20/85.86 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB107) | (~v109(constB107)) | v172(constB107))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9921,plain,
% 135.20/85.86 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB107)) | v172(constB107) | v110(constB107)),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9920, 9919])).
% 135.20/85.86 tff(9922,plain,
% 135.20/85.86 (v110(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9921, 2871, 9915, 9911])).
% 135.20/85.86 tff(9923,plain,
% 135.20/85.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v115(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB107, bitIndex0)) | (~v115(constB107)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9924,plain,
% 135.20/85.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v115(constB107)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9925,plain,
% 135.20/85.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB107, bitIndex0)) | (~v115(constB107))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9924, 9923])).
% 135.20/85.86 tff(9926,plain,
% 135.20/85.86 (~v115(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9925, 3011, 9538])).
% 135.20/85.86 tff(9927,assumption,(~v113(constB107)), introduced(assumption)).
% 135.20/85.86 tff(9928,assumption,(v145(constB107)), introduced(assumption)).
% 135.20/85.86 tff(9929,plain,
% 135.20/85.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB107)) | (~v84(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB107)) | (~v84(constB107, bitIndex1)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9930,plain,
% 135.20/85.86 (((~v84(constB107, bitIndex1)) | (~v145(constB107))) <=> ((~v145(constB107)) | (~v84(constB107, bitIndex1)))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9931,plain,
% 135.20/85.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB107, bitIndex1)) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB107)) | (~v84(constB107, bitIndex1))))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9930])).
% 135.20/85.86 tff(9932,plain,
% 135.20/85.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB107, bitIndex1)) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB107)) | (~v84(constB107, bitIndex1)))),
% 135.20/85.86 inference(transitivity,[status(thm)],[9931, 9929])).
% 135.20/85.86 tff(9933,plain,
% 135.20/85.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB107, bitIndex1)) | (~v145(constB107)))),
% 135.20/85.86 inference(quant_inst,[status(thm)],[])).
% 135.20/85.86 tff(9934,plain,
% 135.20/85.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB107)) | (~v84(constB107, bitIndex1))),
% 135.20/85.86 inference(modus_ponens,[status(thm)],[9933, 9932])).
% 135.20/85.86 tff(9935,plain,
% 135.20/85.86 ($false),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9934, 816, 9928, 6671])).
% 135.20/85.86 tff(9936,plain,((~v145(constB107)) | (~v84(constB107, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.86 tff(9937,plain,
% 135.20/85.86 (~v145(constB107)),
% 135.20/85.86 inference(unit_resolution,[status(thm)],[9936, 9903])).
% 135.20/85.86 tff(9938,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB107) | (~v112(constB107)) | v113(constB107))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB107) | (~v112(constB107)) | v113(constB107))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9939,plain,
% 135.20/85.86 ((v113(constB107) | (~v112(constB107)) | v145(constB107)) <=> (v145(constB107) | (~v112(constB107)) | v113(constB107))),
% 135.20/85.86 inference(rewrite,[status(thm)],[])).
% 135.20/85.86 tff(9940,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB107) | (~v112(constB107)) | v145(constB107))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB107) | (~v112(constB107)) | v113(constB107)))),
% 135.20/85.86 inference(monotonicity,[status(thm)],[9939])).
% 135.20/85.86 tff(9941,plain,
% 135.20/85.86 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB107) | (~v112(constB107)) | v145(constB107))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB107) | (~v112(constB107)) | v113(constB107))),
% 135.20/85.87 inference(transitivity,[status(thm)],[9940, 9938])).
% 135.20/85.87 tff(9942,plain,
% 135.20/85.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB107) | (~v112(constB107)) | v145(constB107))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(9943,plain,
% 135.20/85.87 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB107) | (~v112(constB107)) | v113(constB107)),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 135.20/85.87 tff(9944,plain,
% 135.20/85.87 (~v112(constB107)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9943, 2894, 9937, 9927])).
% 135.20/85.87 tff(9945,plain,
% 135.20/85.87 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB107) | v115(constB107) | (~v111(constB107)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB107) | v115(constB107) | (~v111(constB107)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9946,plain,
% 135.20/85.87 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB107) | v115(constB107) | (~v111(constB107)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(9947,plain,
% 135.20/85.87 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB107) | v115(constB107) | (~v111(constB107))),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 135.20/85.87 tff(9948,plain,
% 135.20/85.87 (v115(constB107) | (~v111(constB107))),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9947, 2911, 9944])).
% 135.20/85.87 tff(9949,plain,
% 135.20/85.87 (~v111(constB107)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9948, 9926])).
% 135.20/85.87 tff(9950,plain,
% 135.20/85.87 (v84(constB107, bitIndex2)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9689, 9743])).
% 135.20/85.87 tff(9951,plain,
% 135.20/85.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v116(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB107, bitIndex2)) | (~v116(constB107)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9952,plain,
% 135.20/85.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v116(constB107)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(9953,plain,
% 135.20/85.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB107, bitIndex2)) | (~v116(constB107))),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[9952, 9951])).
% 135.20/85.87 tff(9954,plain,
% 135.20/85.87 (~v116(constB107)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9953, 1130, 9950])).
% 135.20/85.87 tff(9955,plain,
% 135.20/85.87 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB107) | v116(constB107) | (~v110(constB107)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB107) | v116(constB107) | (~v110(constB107)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9956,plain,
% 135.20/85.87 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB107) | v116(constB107) | (~v110(constB107)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(9957,plain,
% 135.20/85.87 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB107) | v116(constB107) | (~v110(constB107))),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[9956, 9955])).
% 135.20/85.87 tff(9958,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9957, 2932, 9954, 9949, 9922])).
% 135.20/85.87 tff(9959,plain,(v94(constB106) | (~v107(constB107)) | v113(constB105) | v113(constB107)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(9960,plain,
% 135.20/85.87 (v94(constB106) | (~v107(constB107)) | v113(constB107)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9959, 9334])).
% 135.20/85.87 tff(9961,plain,
% 135.20/85.87 (v94(constB106)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9960, 8896, 8871])).
% 135.20/85.87 tff(9962,assumption,(~v124(constB109, bitIndex1)), introduced(assumption)).
% 135.20/85.87 tff(9963,assumption,(v115(constB109)), introduced(assumption)).
% 135.20/85.87 tff(9964,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB109)) | v124(constB109, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB109)) | v124(constB109, bitIndex1))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9965,plain,
% 135.20/85.87 (((~v115(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB109)) | v124(constB109, bitIndex1))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9966,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB109)) | v124(constB109, bitIndex1)))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[9965])).
% 135.20/85.87 tff(9967,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB109)) | v124(constB109, bitIndex1))),
% 135.20/85.87 inference(transitivity,[status(thm)],[9966, 9964])).
% 135.20/85.87 tff(9968,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b011(bitIndex1)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(9969,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB109)) | v124(constB109, bitIndex1)),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[9968, 9967])).
% 135.20/85.87 tff(9970,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9969, 3033, 1193, 823, 9963, 9962])).
% 135.20/85.87 tff(9971,plain,(v124(constB109, bitIndex1) | (~v115(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(9972,plain,
% 135.20/85.87 (~v115(constB109)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9971, 9962])).
% 135.20/85.87 tff(9973,plain,
% 135.20/85.87 (~v84(constB108, bitIndex0)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[6783, 6778])).
% 135.20/85.87 tff(9974,assumption,(v123(constB108, bitIndex0)), introduced(assumption)).
% 135.20/85.87 tff(9975,plain,
% 135.20/85.87 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v84(constB108, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v84(constB108, bitIndex0))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9976,plain,
% 135.20/85.87 (((~less_3(bitIndex0)) | (~v94(constB108)) | v84(constB108, bitIndex0) | (~v123(constB108, bitIndex0))) <=> ((~v94(constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v84(constB108, bitIndex0))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9977,plain,
% 135.20/85.87 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB108)) | v84(constB108, bitIndex0) | (~v123(constB108, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v84(constB108, bitIndex0)))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[9976])).
% 135.20/85.87 tff(9978,plain,
% 135.20/85.87 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB108)) | v84(constB108, bitIndex0) | (~v123(constB108, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v84(constB108, bitIndex0))),
% 135.20/85.87 inference(transitivity,[status(thm)],[9977, 9975])).
% 135.20/85.87 tff(9979,plain,
% 135.20/85.87 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB108)) | v84(constB108, bitIndex0) | (~v123(constB108, bitIndex0)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(9980,plain,
% 135.20/85.87 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v84(constB108, bitIndex0)),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[9979, 9978])).
% 135.20/85.87 tff(9981,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9980, 1674, 795, 6505, 6767, 9974])).
% 135.20/85.87 tff(9982,plain,(v84(constB108, bitIndex0) | (~v94(constB108)) | (~v123(constB108, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(9983,plain,
% 135.20/85.87 (~v123(constB108, bitIndex0)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9982, 9973, 6505])).
% 135.20/85.87 tff(9984,assumption,(~v123(constB108, bitIndex0)), introduced(assumption)).
% 135.20/85.87 tff(9985,assumption,(v121(constB107, bitIndex0)), introduced(assumption)).
% 135.20/85.87 tff(9986,plain,
% 135.20/85.87 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex0)) | v123(constB108, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex0)) | v123(constB108, bitIndex0) | (~v121(constB107, bitIndex0)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9987,plain,
% 135.20/85.87 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex0)) | v123(constB108, bitIndex0) | (~v121(constB107, bitIndex0)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(9988,plain,
% 135.20/85.87 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex0)) | v123(constB108, bitIndex0) | (~v121(constB107, bitIndex0))),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[9987, 9986])).
% 135.20/85.87 tff(9989,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9988, 1708, 795, 6567, 9985, 9984])).
% 135.20/85.87 tff(9990,plain,(v123(constB108, bitIndex0) | (~v121(constB107, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(9991,plain,
% 135.20/85.87 (~v121(constB107, bitIndex0)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9990, 9983])).
% 135.20/85.87 tff(9992,assumption,(~v121(constB107, bitIndex0)), introduced(assumption)).
% 135.20/85.87 tff(9993,assumption,(v124(constB107, bitIndex0)), introduced(assumption)).
% 135.20/85.87 tff(9994,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex0)) | v121(constB107, bitIndex0) | (~v124(constB107, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex0)) | v121(constB107, bitIndex0) | (~v124(constB107, bitIndex0)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9995,plain,
% 135.20/85.87 ((v26(constB107) | v121(constB107, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0))) <=> (v26(constB107) | (~less_3(bitIndex0)) | v121(constB107, bitIndex0) | (~v124(constB107, bitIndex0)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(9996,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex0)) | v121(constB107, bitIndex0) | (~v124(constB107, bitIndex0))))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[9995])).
% 135.20/85.87 tff(9997,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex0)) | v121(constB107, bitIndex0) | (~v124(constB107, bitIndex0)))),
% 135.20/85.87 inference(transitivity,[status(thm)],[9996, 9994])).
% 135.20/85.87 tff(9998,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(9999,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex0)) | v121(constB107, bitIndex0) | (~v124(constB107, bitIndex0))),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 135.20/85.87 tff(10000,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[9999, 1728, 795, 6606, 9993, 9992])).
% 135.20/85.87 tff(10001,plain,(v121(constB107, bitIndex0) | (~v124(constB107, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(10002,plain,
% 135.20/85.87 (~v124(constB107, bitIndex0)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10001, 9991])).
% 135.20/85.87 tff(10003,assumption,(~v124(constB107, bitIndex0)), introduced(assumption)).
% 135.20/85.87 tff(10004,assumption,(v115(constB107)), introduced(assumption)).
% 135.20/85.87 tff(10005,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10006,plain,
% 135.20/85.87 (((~v115(constB107)) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10007,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB107)) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0)))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[10006])).
% 135.20/85.87 tff(10008,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB107)) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.87 inference(transitivity,[status(thm)],[10007, 10005])).
% 135.20/85.87 tff(10009,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB107)) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b011(bitIndex0)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(10010,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0)),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[10009, 10008])).
% 135.20/85.87 tff(10011,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10010, 1148, 1193, 795, 10004, 10003])).
% 135.20/85.87 tff(10012,plain,(v124(constB107, bitIndex0) | (~v115(constB107))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(10013,plain,
% 135.20/85.87 (~v115(constB107)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10012, 10002])).
% 135.20/85.87 tff(10014,plain,
% 135.20/85.87 (~v84(constB109, bitIndex1)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[8807, 1095, 6723, 6778, 8804])).
% 135.20/85.87 tff(10015,plain,
% 135.20/85.87 (~v84(constB108, bitIndex1)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[6823, 10014])).
% 135.20/85.87 tff(10016,assumption,(v123(constB108, bitIndex1)), introduced(assumption)).
% 135.20/85.87 tff(10017,plain,
% 135.20/85.87 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v84(constB108, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v84(constB108, bitIndex1))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10018,plain,
% 135.20/85.87 (((~less_3(bitIndex1)) | (~v94(constB108)) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1))) <=> ((~v94(constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v84(constB108, bitIndex1))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10019,plain,
% 135.20/85.87 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB108)) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v84(constB108, bitIndex1)))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[10018])).
% 135.20/85.87 tff(10020,plain,
% 135.20/85.87 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB108)) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v84(constB108, bitIndex1))),
% 135.20/85.87 inference(transitivity,[status(thm)],[10019, 10017])).
% 135.20/85.87 tff(10021,plain,
% 135.20/85.87 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB108)) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(10022,plain,
% 135.20/85.87 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v84(constB108, bitIndex1)),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 135.20/85.87 tff(10023,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10022, 1674, 823, 6505, 6807, 10016])).
% 135.20/85.87 tff(10024,plain,(v84(constB108, bitIndex1) | (~v94(constB108)) | (~v123(constB108, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(10025,plain,
% 135.20/85.87 (~v123(constB108, bitIndex1)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10024, 10015, 6505])).
% 135.20/85.87 tff(10026,assumption,(~v123(constB108, bitIndex1)), introduced(assumption)).
% 135.20/85.87 tff(10027,assumption,(v121(constB107, bitIndex1)), introduced(assumption)).
% 135.20/85.87 tff(10028,plain,
% 135.20/85.87 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex1)) | v123(constB108, bitIndex1) | (~v121(constB107, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex1)) | v123(constB108, bitIndex1) | (~v121(constB107, bitIndex1)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10029,plain,
% 135.20/85.87 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex1)) | v123(constB108, bitIndex1) | (~v121(constB107, bitIndex1)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(10030,plain,
% 135.20/85.87 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex1)) | v123(constB108, bitIndex1) | (~v121(constB107, bitIndex1))),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[10029, 10028])).
% 135.20/85.87 tff(10031,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10030, 1708, 823, 6567, 10027, 10026])).
% 135.20/85.87 tff(10032,plain,(v123(constB108, bitIndex1) | (~v121(constB107, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(10033,plain,
% 135.20/85.87 (~v121(constB107, bitIndex1)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10032, 10025])).
% 135.20/85.87 tff(10034,assumption,(~v121(constB107, bitIndex1)), introduced(assumption)).
% 135.20/85.87 tff(10035,assumption,(v124(constB107, bitIndex1)), introduced(assumption)).
% 135.20/85.87 tff(10036,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex1)) | v121(constB107, bitIndex1) | (~v124(constB107, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex1)) | v121(constB107, bitIndex1) | (~v124(constB107, bitIndex1)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10037,plain,
% 135.20/85.87 ((v26(constB107) | v121(constB107, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1))) <=> (v26(constB107) | (~less_3(bitIndex1)) | v121(constB107, bitIndex1) | (~v124(constB107, bitIndex1)))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10038,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex1)) | v121(constB107, bitIndex1) | (~v124(constB107, bitIndex1))))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[10037])).
% 135.20/85.87 tff(10039,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex1)) | v121(constB107, bitIndex1) | (~v124(constB107, bitIndex1)))),
% 135.20/85.87 inference(transitivity,[status(thm)],[10038, 10036])).
% 135.20/85.87 tff(10040,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB107) | v121(constB107, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(10041,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex1)) | v121(constB107, bitIndex1) | (~v124(constB107, bitIndex1))),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[10040, 10039])).
% 135.20/85.87 tff(10042,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10041, 1728, 823, 6606, 10035, 10034])).
% 135.20/85.87 tff(10043,plain,(v121(constB107, bitIndex1) | (~v124(constB107, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(10044,plain,
% 135.20/85.87 (~v124(constB107, bitIndex1)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10043, 10033])).
% 135.20/85.87 tff(10045,assumption,(~v124(constB107, bitIndex1)), introduced(assumption)).
% 135.20/85.87 tff(10046,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB107)) | (~b010(bitIndex1)) | v124(constB107, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB107)) | (~b010(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10047,plain,
% 135.20/85.87 (((~v145(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB107)) | (~b010(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10048,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB107)) | (~b010(bitIndex1)) | v124(constB107, bitIndex1)))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[10047])).
% 135.20/85.87 tff(10049,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB107)) | (~b010(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.87 inference(transitivity,[status(thm)],[10048, 10046])).
% 135.20/85.87 tff(10050,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b010(bitIndex1)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(10051,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB107)) | (~b010(bitIndex1)) | v124(constB107, bitIndex1)),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[10050, 10049])).
% 135.20/85.87 tff(10052,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10051, 1821, 1818, 823, 9928, 10045])).
% 135.20/85.87 tff(10053,plain,(v124(constB107, bitIndex1) | (~v145(constB107))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(10054,plain,
% 135.20/85.87 (~v145(constB107)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10053, 10044])).
% 135.20/85.87 tff(10055,assumption,(v172(constB107)), introduced(assumption)).
% 135.20/85.87 tff(10056,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB107)) | (~b110(bitIndex1)) | v124(constB107, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB107)) | (~b110(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10057,plain,
% 135.20/85.87 (((~v172(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v172(constB107)) | (~b110(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10058,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB107)) | (~b110(bitIndex1)) | v124(constB107, bitIndex1)))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[10057])).
% 135.20/85.87 tff(10059,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB107)) | (~b110(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.87 inference(transitivity,[status(thm)],[10058, 10056])).
% 135.20/85.87 tff(10060,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b110(bitIndex1)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(10061,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB107)) | (~b110(bitIndex1)) | v124(constB107, bitIndex1)),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[10060, 10059])).
% 135.20/85.87 tff(10062,plain,
% 135.20/85.87 ($false),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10061, 1801, 1798, 823, 10045, 10055])).
% 135.20/85.87 tff(10063,plain,(v124(constB107, bitIndex1) | (~v172(constB107))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.87 tff(10064,plain,
% 135.20/85.87 (~v172(constB107)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[10063, 10044])).
% 135.20/85.87 tff(10065,plain,
% 135.20/85.87 (~v113(constB107)),
% 135.20/85.87 inference(unit_resolution,[status(thm)],[8870, 6639, 6505])).
% 135.20/85.87 tff(10066,assumption,(~v118(constB107)), introduced(assumption)).
% 135.20/85.87 tff(10067,assumption,(~v172(constB107)), introduced(assumption)).
% 135.20/85.87 tff(10068,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~b001(bitIndex0)) | v124(constB107, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~b001(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10069,plain,
% 135.20/85.87 ((v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~b001(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.87 inference(rewrite,[status(thm)],[])).
% 135.20/85.87 tff(10070,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~b001(bitIndex0)) | v124(constB107, bitIndex0)))),
% 135.20/85.87 inference(monotonicity,[status(thm)],[10069])).
% 135.20/85.87 tff(10071,plain,
% 135.20/85.87 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~b001(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.87 inference(transitivity,[status(thm)],[10070, 10068])).
% 135.20/85.87 tff(10072,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b001(bitIndex0)))),
% 135.20/85.87 inference(quant_inst,[status(thm)],[])).
% 135.20/85.87 tff(10073,plain,
% 135.20/85.87 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~b001(bitIndex0)) | v124(constB107, bitIndex0)),
% 135.20/85.87 inference(modus_ponens,[status(thm)],[10072, 10071])).
% 135.20/85.88 tff(10074,plain,
% 135.20/85.88 (v116(constB107) | v113(constB107)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10073, 1213, 1210, 795, 6785, 6670, 10003, 10067, 10066])).
% 135.20/85.88 tff(10075,plain,
% 135.20/85.88 (v116(constB107)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10074, 10065])).
% 135.20/85.88 tff(10076,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10077,plain,
% 135.20/85.88 (((~v116(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v116(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10078,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2)))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10077])).
% 135.20/85.88 tff(10079,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10078, 10076])).
% 135.20/85.88 tff(10080,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b100(bitIndex2)))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10081,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB107)) | (~b100(bitIndex2)) | v124(constB107, bitIndex2)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10080, 10079])).
% 135.20/85.88 tff(10082,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10081, 1772, 1769, 767, 10075, 8861])).
% 135.20/85.88 tff(10083,plain,(v84(constB108, bitIndex2) | (~v94(constB108)) | v145(constB107) | v115(constB107) | v124(constB107, bitIndex0) | v172(constB107) | v118(constB107)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10084,plain,
% 135.20/85.88 (v118(constB107)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10083, 10064, 8842, 10002, 10054, 10013, 6505])).
% 135.20/85.88 tff(10085,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10086,plain,
% 135.20/85.88 (((~v118(constB107)) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10087,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB107)) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0)))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10086])).
% 135.20/85.88 tff(10088,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB107)) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10087, 10085])).
% 135.20/85.88 tff(10089,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB107)) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~b011(bitIndex0)))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10090,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB107)) | (~b011(bitIndex0)) | v124(constB107, bitIndex0)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 135.20/85.88 tff(10091,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10090, 1148, 1145, 795, 10002, 10084])).
% 135.20/85.88 tff(10092,plain,(v84(constB109, bitIndex0) | (~v94(constB108)) | v84(constB109, bitIndex2) | v115(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10093,plain,
% 135.20/85.88 (v84(constB109, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10092, 9972, 6723, 8843])).
% 135.20/85.88 tff(10094,plain,
% 135.20/85.88 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB108, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB108, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10095,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB108, bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10096,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex0)) | (~v84(constB109, bitIndex0)) | v84(constB108, bitIndex0)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10095, 10094])).
% 135.20/85.88 tff(10097,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10096, 805, 795, 6729, 6741, 6844, 6767])).
% 135.20/85.88 tff(10098,plain,((~v84(constB109, bitIndex0)) | v84(constB108, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10099,plain,
% 135.20/85.88 (v84(constB108, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10098, 10093])).
% 135.20/85.88 tff(10100,plain,
% 135.20/85.88 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB108)) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB108)) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10101,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB108)) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10102,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB108)) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10101, 10100])).
% 135.20/85.88 tff(10103,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10102, 1344, 795, 6505, 6777, 9984])).
% 135.20/85.88 tff(10104,plain,(v123(constB108, bitIndex0) | (~v94(constB108)) | (~v84(constB108, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10105,plain,
% 135.20/85.88 (v123(constB108, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10104, 10099, 8843])).
% 135.20/85.88 tff(10106,plain,
% 135.20/85.88 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v121(constB107, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v121(constB107, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10107,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v121(constB107, bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10108,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex0)) | (~v123(constB108, bitIndex0)) | v121(constB107, bitIndex0)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10107, 10106])).
% 135.20/85.88 tff(10109,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10108, 1362, 795, 6567, 9974, 9992])).
% 135.20/85.88 tff(10110,plain,((~v123(constB108, bitIndex0)) | v121(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10111,plain,
% 135.20/85.88 (v121(constB107, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10110, 10105])).
% 135.20/85.88 tff(10112,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10113,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0)))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10114,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex0)) | v124(constB107, bitIndex0) | (~v121(constB107, bitIndex0))),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10113, 10112])).
% 135.20/85.88 tff(10115,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10114, 1380, 795, 6606, 10003, 9985])).
% 135.20/85.88 tff(10116,plain,((~v121(constB107, bitIndex0)) | v124(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10117,plain,
% 135.20/85.88 (v124(constB107, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10116, 10111])).
% 135.20/85.88 tff(10118,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB107)) | (~v124(constB107, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10119,plain,
% 135.20/85.88 (((~v172(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10120,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB107)) | (~v124(constB107, bitIndex0))))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10119])).
% 135.20/85.88 tff(10121,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10120, 10118])).
% 135.20/85.88 tff(10122,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b110(bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10123,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB107)) | (~v124(constB107, bitIndex0))),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10122, 10121])).
% 135.20/85.88 tff(10124,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10123, 1997, 1994, 795, 9993, 10055])).
% 135.20/85.88 tff(10125,plain,((~v124(constB107, bitIndex0)) | (~v172(constB107))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10126,plain,
% 135.20/85.88 (~v172(constB107)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10125, 10117])).
% 135.20/85.88 tff(10127,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB107)) | (~v124(constB107, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10128,plain,
% 135.20/85.88 (((~v145(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10129,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB107)) | (~v124(constB107, bitIndex0))))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10128])).
% 135.20/85.88 tff(10130,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10129, 10127])).
% 135.20/85.88 tff(10131,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b010(bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10132,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB107)) | (~v124(constB107, bitIndex0))),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 135.20/85.88 tff(10133,plain,
% 135.20/85.88 (~v145(constB107)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10132, 2299, 1416, 795, 10117])).
% 135.20/85.88 tff(10134,plain,
% 135.20/85.88 (v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex2))),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[6694, 1047, 10067])).
% 135.20/85.88 tff(10135,plain,
% 135.20/85.88 (~v84(constB107, bitIndex2)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10134, 9897, 6665])).
% 135.20/85.88 tff(10136,plain,
% 135.20/85.88 (v84(constB107, bitIndex0) | v84(constB107, bitIndex1) | v84(constB107, bitIndex2)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[6699, 983, 9927])).
% 135.20/85.88 tff(10137,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10136, 10135, 9897, 6665])).
% 135.20/85.88 tff(10138,plain,(v84(constB107, bitIndex1) | v84(constB107, bitIndex0) | v113(constB107) | v172(constB107)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10139,plain,
% 135.20/85.88 (v84(constB107, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10138, 9531, 9927, 10067])).
% 135.20/85.88 tff(10140,plain,
% 135.20/85.88 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB106, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB106, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10141,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB106, bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10142,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB106, constB107)) | v94(constB107) | (~less_3(bitIndex0)) | (~v84(constB107, bitIndex0)) | v84(constB106, bitIndex0)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10141, 10140])).
% 135.20/85.88 tff(10143,plain,
% 135.20/85.88 ($false),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10142, 805, 795, 9513, 9525, 9407, 6788])).
% 135.20/85.88 tff(10144,plain,((~v84(constB107, bitIndex0)) | v84(constB106, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.88 tff(10145,plain,
% 135.20/85.88 (v84(constB106, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10144, 10139])).
% 135.20/85.88 tff(10146,plain,
% 135.20/85.88 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB106)) | (~v84(constB106, bitIndex0)) | v123(constB106, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB106)) | (~v84(constB106, bitIndex0)) | v123(constB106, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10147,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB106)) | (~v84(constB106, bitIndex0)) | v123(constB106, bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10148,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB106)) | (~v84(constB106, bitIndex0)) | v123(constB106, bitIndex0)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10147, 10146])).
% 135.20/85.88 tff(10149,plain,
% 135.20/85.88 ((~v94(constB106)) | v123(constB106, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10148, 1344, 795, 9532])).
% 135.20/85.88 tff(10150,plain,
% 135.20/85.88 (v123(constB106, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10149, 9801])).
% 135.20/85.88 tff(10151,plain,
% 135.20/85.88 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v121(constB105, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v121(constB105, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10152,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v121(constB105, bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10153,plain,
% 135.20/85.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex0)) | (~v123(constB106, bitIndex0)) | v121(constB105, bitIndex0)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10152, 10151])).
% 135.20/85.88 tff(10154,plain,
% 135.20/85.88 (v121(constB105, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10153, 1362, 795, 9339, 10150])).
% 135.20/85.88 tff(10155,assumption,(~v26(constB105)), introduced(assumption)).
% 135.20/85.88 tff(10156,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex0)) | (~v121(constB105, bitIndex0)) | v124(constB105, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex0)) | (~v121(constB105, bitIndex0)) | v124(constB105, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10157,plain,
% 135.20/85.88 ((v26(constB105) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~v121(constB105, bitIndex0))) <=> (v26(constB105) | (~less_3(bitIndex0)) | (~v121(constB105, bitIndex0)) | v124(constB105, bitIndex0))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10158,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~v121(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex0)) | (~v121(constB105, bitIndex0)) | v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10157])).
% 135.20/85.88 tff(10159,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~v121(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex0)) | (~v121(constB105, bitIndex0)) | v124(constB105, bitIndex0))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10158, 10156])).
% 135.20/85.88 tff(10160,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~v121(constB105, bitIndex0)))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10161,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex0)) | (~v121(constB105, bitIndex0)) | v124(constB105, bitIndex0)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 135.20/85.88 tff(10162,plain,
% 135.20/85.88 (v124(constB105, bitIndex0)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10161, 1380, 795, 10155, 10154])).
% 135.20/85.88 tff(10163,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB105)) | (~v124(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10164,plain,
% 135.20/85.88 (((~v113(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10165,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB105)) | (~v124(constB105, bitIndex0))))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10164])).
% 135.20/85.88 tff(10166,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10165, 10163])).
% 135.20/85.88 tff(10167,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b100(bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10168,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB105)) | (~v124(constB105, bitIndex0))),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10167, 10166])).
% 135.20/85.88 tff(10169,plain,
% 135.20/85.88 (~v113(constB105)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10168, 2386, 2186, 795, 10162])).
% 135.20/85.88 tff(10170,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB105)) | (~v124(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10171,plain,
% 135.20/85.88 (((~v145(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10172,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB105)) | (~v124(constB105, bitIndex0))))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10171])).
% 135.20/85.88 tff(10173,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10172, 10170])).
% 135.20/85.88 tff(10174,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b010(bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10175,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB105)) | (~v124(constB105, bitIndex0))),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 135.20/85.88 tff(10176,plain,
% 135.20/85.88 (~v145(constB105)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10175, 2299, 1416, 795, 10162])).
% 135.20/85.88 tff(10177,plain,
% 135.20/85.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB105) | (~v112(constB105)) | v113(constB105))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB105) | (~v112(constB105)) | v113(constB105))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10178,plain,
% 135.20/85.88 ((v113(constB105) | (~v112(constB105)) | v145(constB105)) <=> (v145(constB105) | (~v112(constB105)) | v113(constB105))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10179,plain,
% 135.20/85.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB105) | (~v112(constB105)) | v145(constB105))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB105) | (~v112(constB105)) | v113(constB105)))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10178])).
% 135.20/85.88 tff(10180,plain,
% 135.20/85.88 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB105) | (~v112(constB105)) | v145(constB105))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB105) | (~v112(constB105)) | v113(constB105))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10179, 10177])).
% 135.20/85.88 tff(10181,plain,
% 135.20/85.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB105) | (~v112(constB105)) | v145(constB105))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10182,plain,
% 135.20/85.88 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB105) | (~v112(constB105)) | v113(constB105)),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10181, 10180])).
% 135.20/85.88 tff(10183,plain,
% 135.20/85.88 (~v112(constB105)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10182, 2894, 10176, 10169])).
% 135.20/85.88 tff(10184,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB105)) | (~v124(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10185,plain,
% 135.20/85.88 (((~v172(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(rewrite,[status(thm)],[])).
% 135.20/85.88 tff(10186,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB105)) | (~v124(constB105, bitIndex0))))),
% 135.20/85.88 inference(monotonicity,[status(thm)],[10185])).
% 135.20/85.88 tff(10187,plain,
% 135.20/85.88 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.88 inference(transitivity,[status(thm)],[10186, 10184])).
% 135.20/85.88 tff(10188,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b110(bitIndex0))),
% 135.20/85.88 inference(quant_inst,[status(thm)],[])).
% 135.20/85.88 tff(10189,plain,
% 135.20/85.88 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB105)) | (~v124(constB105, bitIndex0))),
% 135.20/85.88 inference(modus_ponens,[status(thm)],[10188, 10187])).
% 135.20/85.88 tff(10190,plain,
% 135.20/85.88 (~v172(constB105)),
% 135.20/85.88 inference(unit_resolution,[status(thm)],[10189, 1997, 1994, 795, 10162])).
% 135.20/85.88 tff(10191,plain,
% 135.20/85.88 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v84(constB106, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v84(constB106, bitIndex1))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10192,plain,
% 135.20/85.89 (((~less_3(bitIndex1)) | (~v94(constB106)) | v84(constB106, bitIndex1) | (~v123(constB106, bitIndex1))) <=> ((~v94(constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v84(constB106, bitIndex1))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10193,plain,
% 135.20/85.89 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB106)) | v84(constB106, bitIndex1) | (~v123(constB106, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v84(constB106, bitIndex1)))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10192])).
% 135.20/85.89 tff(10194,plain,
% 135.20/85.89 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB106)) | v84(constB106, bitIndex1) | (~v123(constB106, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v84(constB106, bitIndex1))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10193, 10191])).
% 135.20/85.89 tff(10195,plain,
% 135.20/85.89 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB106)) | v84(constB106, bitIndex1) | (~v123(constB106, bitIndex1)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10196,plain,
% 135.20/85.89 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex1)) | (~v123(constB106, bitIndex1)) | v84(constB106, bitIndex1)),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10195, 10194])).
% 135.20/85.89 tff(10197,plain,
% 135.20/85.89 ((~v94(constB106)) | (~v123(constB106, bitIndex1))),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10196, 1674, 823, 9509])).
% 135.20/85.89 tff(10198,plain,
% 135.20/85.89 (~v123(constB106, bitIndex1)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10197, 9801])).
% 135.20/85.89 tff(10199,plain,
% 135.20/85.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex1)) | v123(constB106, bitIndex1) | (~v121(constB105, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex1)) | v123(constB106, bitIndex1) | (~v121(constB105, bitIndex1)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10200,plain,
% 135.20/85.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex1)) | v123(constB106, bitIndex1) | (~v121(constB105, bitIndex1)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10201,plain,
% 135.20/85.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex1)) | v123(constB106, bitIndex1) | (~v121(constB105, bitIndex1))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10200, 10199])).
% 135.20/85.89 tff(10202,plain,
% 135.20/85.89 (~v121(constB105, bitIndex1)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10201, 1708, 823, 9339, 10198])).
% 135.20/85.89 tff(10203,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex1)) | v121(constB105, bitIndex1) | (~v124(constB105, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex1)) | v121(constB105, bitIndex1) | (~v124(constB105, bitIndex1)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10204,plain,
% 135.20/85.89 ((v26(constB105) | v121(constB105, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1))) <=> (v26(constB105) | (~less_3(bitIndex1)) | v121(constB105, bitIndex1) | (~v124(constB105, bitIndex1)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10205,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex1)) | v121(constB105, bitIndex1) | (~v124(constB105, bitIndex1))))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10204])).
% 135.20/85.89 tff(10206,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex1)) | v121(constB105, bitIndex1) | (~v124(constB105, bitIndex1)))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10205, 10203])).
% 135.20/85.89 tff(10207,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10208,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex1)) | v121(constB105, bitIndex1) | (~v124(constB105, bitIndex1))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10207, 10206])).
% 135.20/85.89 tff(10209,plain,
% 135.20/85.89 (~v124(constB105, bitIndex1)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10208, 1728, 823, 10155, 10202])).
% 135.20/85.89 tff(10210,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB105)) | v124(constB105, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB105)) | v124(constB105, bitIndex1))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10211,plain,
% 135.20/85.89 (((~v118(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB105)) | v124(constB105, bitIndex1))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10212,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB105)) | v124(constB105, bitIndex1)))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10211])).
% 135.20/85.89 tff(10213,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB105)) | v124(constB105, bitIndex1))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10212, 10210])).
% 135.20/85.89 tff(10214,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b011(bitIndex1)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10215,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB105)) | v124(constB105, bitIndex1)),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 135.20/85.89 tff(10216,plain,
% 135.20/85.89 (~v118(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10215, 3033, 1145, 823, 10209])).
% 135.20/85.89 tff(10217,plain,
% 135.20/85.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v94(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v94(constB106)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10218,plain,
% 135.20/85.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB105, constB106)) | v104(constB106) | (~v94(constB106)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10219,plain,
% 135.20/85.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB105, constB106)) | v104(constB106) | (~v94(constB106))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10218, 10217])).
% 135.20/85.89 tff(10220,plain,
% 135.20/85.89 (v104(constB106) | (~v94(constB106))),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10219, 3113, 9339])).
% 135.20/85.89 tff(10221,plain,
% 135.20/85.89 (v104(constB106)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10220, 9801])).
% 135.20/85.89 tff(10222,plain,
% 135.20/85.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB105, constB106)) | (~v104(constB106)) | v102(constB105))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB105, constB106)) | (~v104(constB106)) | v102(constB105))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10223,plain,
% 135.20/85.89 (((~nextState(constB105, constB106)) | v102(constB105) | (~v104(constB106))) <=> ((~nextState(constB105, constB106)) | (~v104(constB106)) | v102(constB105))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10224,plain,
% 135.20/85.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB105, constB106)) | v102(constB105) | (~v104(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB105, constB106)) | (~v104(constB106)) | v102(constB105)))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10223])).
% 135.20/85.89 tff(10225,plain,
% 135.20/85.89 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB105, constB106)) | v102(constB105) | (~v104(constB106)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB105, constB106)) | (~v104(constB106)) | v102(constB105))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10224, 10222])).
% 135.20/85.89 tff(10226,plain,
% 135.20/85.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB105, constB106)) | v102(constB105) | (~v104(constB106)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10227,plain,
% 135.20/85.89 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB105, constB106)) | (~v104(constB106)) | v102(constB105)),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10226, 10225])).
% 135.20/85.89 tff(10228,plain,
% 135.20/85.89 ((~v104(constB106)) | v102(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10227, 3128, 9339])).
% 135.20/85.89 tff(10229,plain,
% 135.20/85.89 (v102(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10228, 10221])).
% 135.20/85.89 tff(10230,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB105)) | v26(constB105) | v106(constB105))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB105)) | v26(constB105) | v106(constB105))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10231,plain,
% 135.20/85.89 ((v26(constB105) | v106(constB105) | (~v102(constB105))) <=> ((~v102(constB105)) | v26(constB105) | v106(constB105))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10232,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB105) | v106(constB105) | (~v102(constB105)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB105)) | v26(constB105) | v106(constB105)))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10231])).
% 135.20/85.89 tff(10233,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB105) | v106(constB105) | (~v102(constB105)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB105)) | v26(constB105) | v106(constB105))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10232, 10230])).
% 135.20/85.89 tff(10234,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB105) | v106(constB105) | (~v102(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10235,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB105)) | v26(constB105) | v106(constB105)),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10234, 10233])).
% 135.20/85.89 tff(10236,plain,
% 135.20/85.89 ((~v102(constB105)) | v106(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10235, 3146, 10155])).
% 135.20/85.89 tff(10237,plain,
% 135.20/85.89 (v106(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10236, 10229])).
% 135.20/85.89 tff(10238,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB105) | (~v106(constB105)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB105) | (~v106(constB105)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10239,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB105) | (~v106(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10240,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB105) | (~v106(constB105))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10239, 10238])).
% 135.20/85.89 tff(10241,plain,
% 135.20/85.89 (v107(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10240, 3161, 10237])).
% 135.20/85.89 tff(10242,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB105) | v119(constB105) | (~v107(constB105)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB105) | v119(constB105) | (~v107(constB105)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10243,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB105) | v119(constB105) | (~v107(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10244,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB105) | v119(constB105) | (~v107(constB105))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10243, 10242])).
% 135.20/85.89 tff(10245,plain,
% 135.20/85.89 (v108(constB105) | (~v107(constB105))),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10244, 3195, 9457])).
% 135.20/85.89 tff(10246,plain,
% 135.20/85.89 (v108(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10245, 10241])).
% 135.20/85.89 tff(10247,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB105) | v118(constB105) | (~v108(constB105)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB105) | v118(constB105) | (~v108(constB105)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10248,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB105) | v118(constB105) | (~v108(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10249,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB105) | v118(constB105) | (~v108(constB105))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10248, 10247])).
% 135.20/85.89 tff(10250,plain,
% 135.20/85.89 (v109(constB105) | v118(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10249, 2856, 10246])).
% 135.20/85.89 tff(10251,plain,
% 135.20/85.89 (v109(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10250, 10216])).
% 135.20/85.89 tff(10252,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB105)) | v172(constB105) | v110(constB105))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB105)) | v172(constB105) | v110(constB105))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10253,plain,
% 135.20/85.89 ((v110(constB105) | (~v109(constB105)) | v172(constB105)) <=> ((~v109(constB105)) | v172(constB105) | v110(constB105))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10254,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB105) | (~v109(constB105)) | v172(constB105))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB105)) | v172(constB105) | v110(constB105)))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10253])).
% 135.20/85.89 tff(10255,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB105) | (~v109(constB105)) | v172(constB105))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB105)) | v172(constB105) | v110(constB105))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10254, 10252])).
% 135.20/85.89 tff(10256,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB105) | (~v109(constB105)) | v172(constB105))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10257,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB105)) | v172(constB105) | v110(constB105)),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10256, 10255])).
% 135.20/85.89 tff(10258,plain,
% 135.20/85.89 (v110(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10257, 2871, 10251, 10190])).
% 135.20/85.89 tff(10259,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB105)) | (~v124(constB105, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10260,plain,
% 135.20/85.89 (((~v116(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10261,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB105)) | (~v124(constB105, bitIndex0))))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10260])).
% 135.20/85.89 tff(10262,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB105)) | (~v124(constB105, bitIndex0)))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10261, 10259])).
% 135.20/85.89 tff(10263,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB105)) | (~less_3(bitIndex0)) | (~v124(constB105, bitIndex0)) | b100(bitIndex0))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10264,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB105)) | (~v124(constB105, bitIndex0))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 135.20/85.89 tff(10265,plain,
% 135.20/85.89 (~v116(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10264, 2386, 2164, 795, 10162])).
% 135.20/85.89 tff(10266,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB105) | v116(constB105) | (~v110(constB105)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB105) | v116(constB105) | (~v110(constB105)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10267,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB105) | v116(constB105) | (~v110(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10268,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB105) | v116(constB105) | (~v110(constB105))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10267, 10266])).
% 135.20/85.89 tff(10269,plain,
% 135.20/85.89 (v111(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10268, 2932, 10265, 10258])).
% 135.20/85.89 tff(10270,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB105)) | v124(constB105, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB105)) | v124(constB105, bitIndex1))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10271,plain,
% 135.20/85.89 (((~v115(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB105)) | v124(constB105, bitIndex1))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10272,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB105)) | v124(constB105, bitIndex1)))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10271])).
% 135.20/85.89 tff(10273,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB105)) | v124(constB105, bitIndex1))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10272, 10270])).
% 135.20/85.89 tff(10274,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b011(bitIndex1)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10275,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB105)) | v124(constB105, bitIndex1)),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 135.20/85.89 tff(10276,plain,
% 135.20/85.89 (~v115(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10275, 3033, 1193, 823, 10209])).
% 135.20/85.89 tff(10277,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB105) | v115(constB105) | (~v111(constB105)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB105) | v115(constB105) | (~v111(constB105)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10278,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB105) | v115(constB105) | (~v111(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10279,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB105) | v115(constB105) | (~v111(constB105))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 135.20/85.89 tff(10280,plain,
% 135.20/85.89 ($false),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10279, 2911, 10276, 10269, 10183])).
% 135.20/85.89 tff(10281,plain,((~v94(constB106)) | v26(constB105) | v119(constB105) | v84(constB106, bitIndex1) | (~v84(constB106, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.89 tff(10282,plain,
% 135.20/85.89 ((~v94(constB106)) | v119(constB105) | v84(constB106, bitIndex1) | (~v84(constB106, bitIndex0))),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10281, 9782])).
% 135.20/85.89 tff(10283,plain,
% 135.20/85.89 (v119(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10282, 10145, 9801, 9509])).
% 135.20/85.89 tff(10284,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB105)) | v84(constB105, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB105)) | v84(constB105, bitIndex2))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10285,plain,
% 135.20/85.89 ((v84(constB105, bitIndex2) | (~v119(constB105))) <=> ((~v119(constB105)) | v84(constB105, bitIndex2))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10286,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB105, bitIndex2) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB105)) | v84(constB105, bitIndex2)))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10285])).
% 135.20/85.89 tff(10287,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB105, bitIndex2) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB105)) | v84(constB105, bitIndex2))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10286, 10284])).
% 135.20/85.89 tff(10288,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB105, bitIndex2) | (~v119(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10289,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB105)) | v84(constB105, bitIndex2)),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10288, 10287])).
% 135.20/85.89 tff(10290,plain,
% 135.20/85.89 (v84(constB105, bitIndex2)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10289, 7833, 10283])).
% 135.20/85.89 tff(10291,plain,
% 135.20/85.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB105)) | (~v84(constB105, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB105)) | (~v84(constB105, bitIndex2)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10292,plain,
% 135.20/85.89 (((~v84(constB105, bitIndex2)) | (~v145(constB105))) <=> ((~v145(constB105)) | (~v84(constB105, bitIndex2)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10293,plain,
% 135.20/85.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB105)) | (~v84(constB105, bitIndex2))))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10292])).
% 135.20/85.89 tff(10294,plain,
% 135.20/85.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB105)) | (~v84(constB105, bitIndex2)))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10293, 10291])).
% 135.20/85.89 tff(10295,plain,
% 135.20/85.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v145(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10296,plain,
% 135.20/85.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB105)) | (~v84(constB105, bitIndex2))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10295, 10294])).
% 135.20/85.89 tff(10297,plain,
% 135.20/85.89 (~v145(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10296, 725, 10290])).
% 135.20/85.89 tff(10298,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB105)) | v84(constB105, bitIndex1))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB105)) | v84(constB105, bitIndex1))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10299,plain,
% 135.20/85.89 ((v84(constB105, bitIndex1) | (~v119(constB105))) <=> ((~v119(constB105)) | v84(constB105, bitIndex1))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10300,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB105, bitIndex1) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB105)) | v84(constB105, bitIndex1)))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10299])).
% 135.20/85.89 tff(10301,plain,
% 135.20/85.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB105, bitIndex1) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB105)) | v84(constB105, bitIndex1))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10300, 10298])).
% 135.20/85.89 tff(10302,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB105, bitIndex1) | (~v119(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10303,plain,
% 135.20/85.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB105)) | v84(constB105, bitIndex1)),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10302, 10301])).
% 135.20/85.89 tff(10304,plain,
% 135.20/85.89 (v84(constB105, bitIndex1)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10303, 9858, 10283])).
% 135.20/85.89 tff(10305,plain,
% 135.20/85.89 (~v172(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[9750, 2289, 10304])).
% 135.20/85.89 tff(10306,plain,
% 135.20/85.89 (v123(constB106, bitIndex0)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10148, 1344, 795, 9801, 10145])).
% 135.20/85.89 tff(10307,plain,
% 135.20/85.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v116(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v116(constB105)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10308,plain,
% 135.20/85.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v116(constB105)))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10309,plain,
% 135.20/85.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v116(constB105))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10308, 10307])).
% 135.20/85.89 tff(10310,plain,
% 135.20/85.89 (~v116(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10309, 1130, 10290])).
% 135.20/85.89 tff(10311,assumption,(v123(constB106, bitIndex0)), introduced(assumption)).
% 135.20/85.89 tff(10312,plain,
% 135.20/85.89 (v94(constB106)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[9675, 9509, 6785])).
% 135.20/85.89 tff(10313,plain,
% 135.20/85.89 (v84(constB107, bitIndex0)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[9537, 9532])).
% 135.20/85.89 tff(10314,plain,
% 135.20/85.89 (v145(constB107) | v84(constB107, bitIndex2) | (~v84(constB107, bitIndex0))),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[6717, 865, 9531])).
% 135.20/85.89 tff(10315,plain,
% 135.20/85.89 (v84(constB107, bitIndex2)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10314, 10313, 6785])).
% 135.20/85.89 tff(10316,plain,
% 135.20/85.89 (v84(constB106, bitIndex2)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[9547, 10315])).
% 135.20/85.89 tff(10317,plain,
% 135.20/85.89 (v123(constB106, bitIndex2)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[9806, 10316, 9801])).
% 135.20/85.89 tff(10318,plain,
% 135.20/85.89 (v121(constB105, bitIndex2)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[9814, 10317])).
% 135.20/85.89 tff(10319,assumption,(v123(constB106, bitIndex1)), introduced(assumption)).
% 135.20/85.89 tff(10320,plain,
% 135.20/85.89 ($false),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10196, 1674, 823, 9801, 9509, 10319])).
% 135.20/85.89 tff(10321,plain,(v84(constB106, bitIndex1) | (~v94(constB106)) | (~v123(constB106, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.89 tff(10322,plain,
% 135.20/85.89 (~v123(constB106, bitIndex1)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10321, 9509, 9801])).
% 135.20/85.89 tff(10323,assumption,(~v123(constB106, bitIndex1)), introduced(assumption)).
% 135.20/85.89 tff(10324,assumption,(v121(constB105, bitIndex1)), introduced(assumption)).
% 135.20/85.89 tff(10325,plain,
% 135.20/85.89 ($false),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10201, 1708, 823, 9339, 10324, 10323])).
% 135.20/85.89 tff(10326,plain,(v123(constB106, bitIndex1) | (~v121(constB105, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.89 tff(10327,plain,
% 135.20/85.89 (~v121(constB105, bitIndex1)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10326, 10322])).
% 135.20/85.89 tff(10328,plain,
% 135.20/85.89 (~v124(constB105, bitIndex1)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10208, 1728, 823, 9782, 10327])).
% 135.20/85.89 tff(10329,plain,
% 135.20/85.89 (~v115(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10275, 3033, 1193, 823, 10328])).
% 135.20/85.89 tff(10330,plain,
% 135.20/85.89 (v119(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10282, 9532, 9801, 9509])).
% 135.20/85.89 tff(10331,plain,
% 135.20/85.89 (v84(constB105, bitIndex2)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10289, 7833, 10330])).
% 135.20/85.89 tff(10332,plain,
% 135.20/85.89 (~v113(constB105)),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[8902, 1119, 10331])).
% 135.20/85.89 tff(10333,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10334,plain,
% 135.20/85.89 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 135.20/85.89 inference(rewrite,[status(thm)],[])).
% 135.20/85.89 tff(10335,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2))))),
% 135.20/85.89 inference(monotonicity,[status(thm)],[10334])).
% 135.20/85.89 tff(10336,plain,
% 135.20/85.89 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2)))),
% 135.20/85.89 inference(transitivity,[status(thm)],[10335, 10333])).
% 135.20/85.89 tff(10337,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b001(bitIndex2))),
% 135.20/85.89 inference(quant_inst,[status(thm)],[])).
% 135.20/85.89 tff(10338,plain,
% 135.20/85.89 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex2))),
% 135.20/85.89 inference(modus_ponens,[status(thm)],[10337, 10336])).
% 135.20/85.89 tff(10339,plain,
% 135.20/85.89 ($false),
% 135.20/85.89 inference(unit_resolution,[status(thm)],[10338, 2427, 2424, 767, 6519, 9335, 9468, 9665, 9451, 9823, 9835])).
% 135.20/85.90 tff(10340,plain,((~v124(constB105, bitIndex2)) | v145(constB105) | v113(constB105) | v172(constB105) | v115(constB105) | v116(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10341,plain,
% 135.20/85.90 (~v124(constB105, bitIndex2)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10340, 10332, 6519, 9468, 10329, 9835])).
% 135.20/85.90 tff(10342,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9821, 1380, 767, 9782, 10341, 10318])).
% 135.20/85.90 tff(10343,plain,((~v84(constB106, bitIndex0)) | v145(constB105) | v172(constB105) | v116(constB105) | (~v94(constB106)) | v145(constB107) | v84(constB106, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10344,plain,
% 135.20/85.90 (~v84(constB106, bitIndex0)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10343, 9509, 9468, 9835, 10312, 6785, 6519])).
% 135.20/85.90 tff(10345,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9767, 1674, 795, 10312, 10344, 10311])).
% 135.20/85.90 tff(10346,plain,(v84(constB106, bitIndex1) | (~v123(constB106, bitIndex0)) | v172(constB105) | v116(constB105) | v145(constB107) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10347,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10346, 10310, 10306, 6785, 9509, 10305, 10297])).
% 135.20/85.90 tff(10348,plain,(v84(constB106, bitIndex1) | v145(constB107) | (~v94(constB106)) | v113(constB107) | v172(constB107)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10349,plain,
% 135.20/85.90 (v84(constB106, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10348, 10133, 10126, 9961, 8871])).
% 135.20/85.90 tff(10350,plain,
% 135.20/85.90 (v84(constB107, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9902, 10349])).
% 135.20/85.90 tff(10351,plain,
% 135.20/85.90 (~v118(constB107)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9906, 2842, 10350])).
% 135.20/85.90 tff(10352,assumption,(v145(constB109)), introduced(assumption)).
% 135.20/85.90 tff(10353,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB109)) | (~b010(bitIndex1)) | v124(constB109, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB109)) | (~b010(bitIndex1)) | v124(constB109, bitIndex1))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10354,plain,
% 135.20/85.90 (((~v145(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB109)) | (~b010(bitIndex1)) | v124(constB109, bitIndex1))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10355,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB109)) | (~b010(bitIndex1)) | v124(constB109, bitIndex1)))),
% 135.20/85.90 inference(monotonicity,[status(thm)],[10354])).
% 135.20/85.90 tff(10356,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB109)) | (~b010(bitIndex1)) | v124(constB109, bitIndex1))),
% 135.20/85.90 inference(transitivity,[status(thm)],[10355, 10353])).
% 135.20/85.90 tff(10357,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b010(bitIndex1)))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10358,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB109)) | (~b010(bitIndex1)) | v124(constB109, bitIndex1)),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10357, 10356])).
% 135.20/85.90 tff(10359,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10358, 1821, 1818, 823, 10352, 9962])).
% 135.20/85.90 tff(10360,plain,(v124(constB109, bitIndex1) | (~v145(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10361,plain,
% 135.20/85.90 (~v145(constB109)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10360, 9962])).
% 135.20/85.90 tff(10362,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[8776, 865, 8770, 6818, 6723, 6844])).
% 135.20/85.90 tff(10363,plain,(v145(constB109) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10364,plain,
% 135.20/85.90 (v84(constB109, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10363, 10093, 6723, 10361])).
% 135.20/85.90 tff(10365,plain,
% 135.20/85.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB108, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB108, bitIndex1))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10366,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB108, bitIndex1))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10367,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex1)) | (~v84(constB109, bitIndex1)) | v84(constB108, bitIndex1)),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10366, 10365])).
% 135.20/85.90 tff(10368,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10367, 805, 823, 6729, 6741, 6825, 6807])).
% 135.20/85.90 tff(10369,plain,((~v84(constB109, bitIndex1)) | v84(constB108, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10370,plain,
% 135.20/85.90 (v84(constB108, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10369, 10364])).
% 135.20/85.90 tff(10371,plain,
% 135.20/85.90 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB108)) | (~v84(constB108, bitIndex1)) | v123(constB108, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB108)) | (~v84(constB108, bitIndex1)) | v123(constB108, bitIndex1))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10372,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB108)) | (~v84(constB108, bitIndex1)) | v123(constB108, bitIndex1))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10373,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB108)) | (~v84(constB108, bitIndex1)) | v123(constB108, bitIndex1)),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10372, 10371])).
% 135.20/85.90 tff(10374,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10373, 1344, 823, 6505, 6817, 10026])).
% 135.20/85.90 tff(10375,plain,((~v84(constB108, bitIndex1)) | (~v94(constB108)) | v123(constB108, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10376,plain,
% 135.20/85.90 (v123(constB108, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10375, 10370, 8843])).
% 135.20/85.90 tff(10377,plain,
% 135.20/85.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v121(constB107, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v121(constB107, bitIndex1))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10378,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v121(constB107, bitIndex1))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10379,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex1)) | (~v123(constB108, bitIndex1)) | v121(constB107, bitIndex1)),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10378, 10377])).
% 135.20/85.90 tff(10380,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10379, 1362, 823, 6567, 10016, 10034])).
% 135.20/85.90 tff(10381,plain,((~v123(constB108, bitIndex1)) | v121(constB107, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10382,plain,
% 135.20/85.90 (v121(constB107, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10381, 10376])).
% 135.20/85.90 tff(10383,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex1)) | (~v121(constB107, bitIndex1)) | v124(constB107, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex1)) | (~v121(constB107, bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10384,plain,
% 135.20/85.90 ((v26(constB107) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~v121(constB107, bitIndex1))) <=> (v26(constB107) | (~less_3(bitIndex1)) | (~v121(constB107, bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10385,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~v121(constB107, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex1)) | (~v121(constB107, bitIndex1)) | v124(constB107, bitIndex1)))),
% 135.20/85.90 inference(monotonicity,[status(thm)],[10384])).
% 135.20/85.90 tff(10386,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~v121(constB107, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex1)) | (~v121(constB107, bitIndex1)) | v124(constB107, bitIndex1))),
% 135.20/85.90 inference(transitivity,[status(thm)],[10385, 10383])).
% 135.20/85.90 tff(10387,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~v121(constB107, bitIndex1)))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10388,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex1)) | (~v121(constB107, bitIndex1)) | v124(constB107, bitIndex1)),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10387, 10386])).
% 135.20/85.90 tff(10389,plain,
% 135.20/85.90 (v124(constB107, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10388, 1380, 823, 6606, 10382])).
% 135.20/85.90 tff(10390,assumption,(v116(constB107)), introduced(assumption)).
% 135.20/85.90 tff(10391,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB107)) | (~v124(constB107, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB107)) | (~v124(constB107, bitIndex1)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10392,plain,
% 135.20/85.90 (((~v116(constB107)) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB107)) | (~v124(constB107, bitIndex1)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10393,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB107)) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB107)) | (~v124(constB107, bitIndex1))))),
% 135.20/85.90 inference(monotonicity,[status(thm)],[10392])).
% 135.20/85.90 tff(10394,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB107)) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB107)) | (~v124(constB107, bitIndex1)))),
% 135.20/85.90 inference(transitivity,[status(thm)],[10393, 10391])).
% 135.20/85.90 tff(10395,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB107)) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b100(bitIndex1))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10396,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB107)) | (~v124(constB107, bitIndex1))),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10395, 10394])).
% 135.20/85.90 tff(10397,plain,
% 135.20/85.90 ($false),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10396, 2167, 2164, 823, 10035, 10390])).
% 135.20/85.90 tff(10398,plain,((~v124(constB107, bitIndex1)) | (~v116(constB107))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.90 tff(10399,plain,
% 135.20/85.90 (~v116(constB107)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10398, 10389])).
% 135.20/85.90 tff(10400,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex1)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10401,plain,
% 135.20/85.90 ((v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex1)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10402,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex1))))),
% 135.20/85.90 inference(monotonicity,[status(thm)],[10401])).
% 135.20/85.90 tff(10403,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex1)))),
% 135.20/85.90 inference(transitivity,[status(thm)],[10402, 10400])).
% 135.20/85.90 tff(10404,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b001(bitIndex1))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10405,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex1))),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10404, 10403])).
% 135.20/85.90 tff(10406,plain,
% 135.20/85.90 (v145(constB107) | v118(constB107) | v115(constB107)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10405, 2601, 2424, 823, 8871, 10389, 10126, 10399])).
% 135.20/85.90 tff(10407,plain,
% 135.20/85.90 (v115(constB107)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10406, 10351, 10133])).
% 135.20/85.90 tff(10408,plain,
% 135.20/85.90 (~v84(constB107, bitIndex0)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9925, 3011, 10407])).
% 135.20/85.90 tff(10409,plain,
% 135.20/85.90 (~v84(constB106, bitIndex0)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9537, 10408])).
% 135.20/85.90 tff(10410,plain,
% 135.20/85.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v115(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB107, bitIndex2)) | (~v115(constB107)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10411,plain,
% 135.20/85.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB107, bitIndex2)) | (~v115(constB107)))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10412,plain,
% 135.20/85.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB107, bitIndex2)) | (~v115(constB107))),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10411, 10410])).
% 135.20/85.90 tff(10413,plain,
% 135.20/85.90 (~v84(constB107, bitIndex2)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10412, 2665, 10407])).
% 135.20/85.90 tff(10414,plain,
% 135.20/85.90 (~v84(constB106, bitIndex2)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9689, 10413])).
% 135.20/85.90 tff(10415,plain,
% 135.20/85.90 ((~v94(constB106)) | v123(constB106, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9869, 1344, 823, 9719])).
% 135.20/85.90 tff(10416,plain,
% 135.20/85.90 (v123(constB106, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10415, 9801])).
% 135.20/85.90 tff(10417,plain,
% 135.20/85.90 (v121(constB105, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9873, 1362, 823, 9339, 10416])).
% 135.20/85.90 tff(10418,plain,
% 135.20/85.90 (v124(constB105, bitIndex1)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9880, 1380, 823, 9782, 10417])).
% 135.20/85.90 tff(10419,plain,
% 135.20/85.90 (~v116(constB105)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9887, 2167, 2164, 823, 10418])).
% 135.20/85.90 tff(10420,plain,
% 135.20/85.90 ((~v94(constB106)) | (~v123(constB106, bitIndex0))),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9767, 1674, 795, 9407])).
% 135.20/85.90 tff(10421,plain,
% 135.20/85.90 (~v123(constB106, bitIndex0)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10420, 9801])).
% 135.20/85.90 tff(10422,plain,
% 135.20/85.90 (~v121(constB105, bitIndex0)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9773, 1708, 795, 9339, 10421])).
% 135.20/85.90 tff(10423,plain,
% 135.20/85.90 (~v124(constB105, bitIndex0)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9788, 1728, 795, 9782, 10422])).
% 135.20/85.90 tff(10424,plain,
% 135.20/85.90 (~v115(constB105)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[9848, 1148, 1193, 795, 10423])).
% 135.20/85.90 tff(10425,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB105)) | v124(constB105, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB105)) | v124(constB105, bitIndex0))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10426,plain,
% 135.20/85.90 (((~v118(constB105)) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB105)) | v124(constB105, bitIndex0))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10427,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB105)) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB105)) | v124(constB105, bitIndex0)))),
% 135.20/85.90 inference(monotonicity,[status(thm)],[10426])).
% 135.20/85.90 tff(10428,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB105)) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB105)) | v124(constB105, bitIndex0))),
% 135.20/85.90 inference(transitivity,[status(thm)],[10427, 10425])).
% 135.20/85.90 tff(10429,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB105)) | (~less_3(bitIndex0)) | v124(constB105, bitIndex0) | (~b011(bitIndex0)))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10430,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB105)) | v124(constB105, bitIndex0)),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10429, 10428])).
% 135.20/85.90 tff(10431,plain,
% 135.20/85.90 (~v118(constB105)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10430, 1148, 1145, 795, 10423])).
% 135.20/85.90 tff(10432,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB105)) | (~v124(constB105, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB105)) | (~v124(constB105, bitIndex1)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10433,plain,
% 135.20/85.90 (((~v113(constB105)) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB105)) | (~v124(constB105, bitIndex1)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10434,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB105)) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB105)) | (~v124(constB105, bitIndex1))))),
% 135.20/85.90 inference(monotonicity,[status(thm)],[10433])).
% 135.20/85.90 tff(10435,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB105)) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB105)) | (~v124(constB105, bitIndex1)))),
% 135.20/85.90 inference(transitivity,[status(thm)],[10434, 10432])).
% 135.20/85.90 tff(10436,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB105)) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b100(bitIndex1))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10437,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB105)) | (~v124(constB105, bitIndex1))),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10436, 10435])).
% 135.20/85.90 tff(10438,plain,
% 135.20/85.90 (~v113(constB105)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10437, 2167, 2186, 823, 10418])).
% 135.20/85.90 tff(10439,plain,
% 135.20/85.90 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v84(constB106, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v84(constB106, bitIndex2))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10440,plain,
% 135.20/85.90 (((~less_3(bitIndex2)) | (~v94(constB106)) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2))) <=> ((~v94(constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v84(constB106, bitIndex2))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10441,plain,
% 135.20/85.90 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB106)) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v84(constB106, bitIndex2)))),
% 135.20/85.90 inference(monotonicity,[status(thm)],[10440])).
% 135.20/85.90 tff(10442,plain,
% 135.20/85.90 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB106)) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v84(constB106, bitIndex2))),
% 135.20/85.90 inference(transitivity,[status(thm)],[10441, 10439])).
% 135.20/85.90 tff(10443,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB106)) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2)))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10444,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB106)) | (~less_3(bitIndex2)) | (~v123(constB106, bitIndex2)) | v84(constB106, bitIndex2)),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10443, 10442])).
% 135.20/85.90 tff(10445,plain,
% 135.20/85.90 ((~v94(constB106)) | (~v123(constB106, bitIndex2))),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10444, 1674, 767, 9542])).
% 135.20/85.90 tff(10446,plain,
% 135.20/85.90 (~v123(constB106, bitIndex2)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10445, 9801])).
% 135.20/85.90 tff(10447,plain,
% 135.20/85.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex2)) | v123(constB106, bitIndex2) | (~v121(constB105, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex2)) | v123(constB106, bitIndex2) | (~v121(constB105, bitIndex2)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10448,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB105, constB106)) | (~less_3(bitIndex2)) | v123(constB106, bitIndex2) | (~v121(constB105, bitIndex2)))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10449,plain,
% 135.20/85.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB105, constB106)) | (~less_3(bitIndex2)) | v123(constB106, bitIndex2) | (~v121(constB105, bitIndex2))),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10448, 10447])).
% 135.20/85.90 tff(10450,plain,
% 135.20/85.90 (~v121(constB105, bitIndex2)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10449, 1708, 767, 9339, 10446])).
% 135.20/85.90 tff(10451,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex2)) | v121(constB105, bitIndex2) | (~v124(constB105, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex2)) | v121(constB105, bitIndex2) | (~v124(constB105, bitIndex2)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10452,plain,
% 135.20/85.90 ((v26(constB105) | v121(constB105, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2))) <=> (v26(constB105) | (~less_3(bitIndex2)) | v121(constB105, bitIndex2) | (~v124(constB105, bitIndex2)))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10453,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | (~less_3(bitIndex2)) | v121(constB105, bitIndex2) | (~v124(constB105, bitIndex2))))),
% 135.20/85.90 inference(monotonicity,[status(thm)],[10452])).
% 135.20/85.90 tff(10454,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex2)) | v121(constB105, bitIndex2) | (~v124(constB105, bitIndex2)))),
% 135.20/85.90 inference(transitivity,[status(thm)],[10453, 10451])).
% 135.20/85.90 tff(10455,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB105) | v121(constB105, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)))),
% 135.20/85.90 inference(quant_inst,[status(thm)],[])).
% 135.20/85.90 tff(10456,plain,
% 135.20/85.90 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB105) | (~less_3(bitIndex2)) | v121(constB105, bitIndex2) | (~v124(constB105, bitIndex2))),
% 135.20/85.90 inference(modus_ponens,[status(thm)],[10455, 10454])).
% 135.20/85.90 tff(10457,plain,
% 135.20/85.90 (~v124(constB105, bitIndex2)),
% 135.20/85.90 inference(unit_resolution,[status(thm)],[10456, 1728, 767, 9782, 10450])).
% 135.20/85.90 tff(10458,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB105)) | v124(constB105, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB105)) | v124(constB105, bitIndex2))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10459,plain,
% 135.20/85.90 (((~v172(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB105)) | v124(constB105, bitIndex2))),
% 135.20/85.90 inference(rewrite,[status(thm)],[])).
% 135.20/85.90 tff(10460,plain,
% 135.20/85.90 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB105)) | v124(constB105, bitIndex2)))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10459])).
% 135.20/85.91 tff(10461,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB105)) | v124(constB105, bitIndex2))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10460, 10458])).
% 135.20/85.91 tff(10462,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b110(bitIndex2)))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10463,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB105)) | v124(constB105, bitIndex2)),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 135.20/85.91 tff(10464,plain,
% 135.20/85.91 (~v172(constB105)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10463, 2066, 1798, 767, 10457])).
% 135.20/85.91 tff(10465,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10466,plain,
% 135.20/85.91 ((v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10467,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1))))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10466])).
% 135.20/85.91 tff(10468,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1)))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10467, 10465])).
% 135.20/85.91 tff(10469,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB105) | v145(constB105) | v115(constB105) | v116(constB105) | v172(constB105) | v118(constB105) | (~less_3(bitIndex1)) | (~v124(constB105, bitIndex1)) | b001(bitIndex1))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10470,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105) | (~v124(constB105, bitIndex1))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 135.20/85.91 tff(10471,plain,
% 135.20/85.91 (v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10470, 2601, 2424, 823, 6519, 10418])).
% 135.20/85.91 tff(10472,plain,
% 135.20/85.91 ($false),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10471, 10464, 10438, 10431, 10424, 10419])).
% 135.20/85.91 tff(10473,plain,((~v94(constB106)) | v145(constB105) | v84(constB106, bitIndex2) | (~v84(constB106, bitIndex1)) | v84(constB106, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.91 tff(10474,plain,
% 135.20/85.91 ($false),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10473, 10414, 10409, 6519, 9961, 10349])).
% 135.20/85.91 tff(10475,plain,(v124(constB109, bitIndex1) | v145(constB105) | v84(constB109, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.91 tff(10476,plain,
% 135.20/85.91 (v124(constB109, bitIndex1)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10475, 6723, 6519])).
% 135.20/85.91 tff(10477,assumption,(~v121(constB109, bitIndex1)), introduced(assumption)).
% 135.20/85.91 tff(10478,assumption,(v124(constB109, bitIndex1)), introduced(assumption)).
% 135.20/85.91 tff(10479,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex1)) | v121(constB109, bitIndex1) | (~v124(constB109, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex1)) | v121(constB109, bitIndex1) | (~v124(constB109, bitIndex1)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10480,plain,
% 135.20/85.91 ((v26(constB109) | v121(constB109, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1))) <=> (v26(constB109) | (~less_3(bitIndex1)) | v121(constB109, bitIndex1) | (~v124(constB109, bitIndex1)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10481,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex1)) | v121(constB109, bitIndex1) | (~v124(constB109, bitIndex1))))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10480])).
% 135.20/85.91 tff(10482,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex1)) | v121(constB109, bitIndex1) | (~v124(constB109, bitIndex1)))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10481, 10479])).
% 135.20/85.91 tff(10483,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10484,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex1)) | v121(constB109, bitIndex1) | (~v124(constB109, bitIndex1))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10483, 10482])).
% 135.20/85.91 tff(10485,plain,
% 135.20/85.91 ($false),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10484, 1728, 823, 6903, 10478, 10477])).
% 135.20/85.91 tff(10486,plain,(v121(constB109, bitIndex1) | (~v124(constB109, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.91 tff(10487,plain,
% 135.20/85.91 (v121(constB109, bitIndex1)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10486, 10476])).
% 135.20/85.91 tff(10488,assumption,(~v123(constB110, bitIndex1)), introduced(assumption)).
% 135.20/85.91 tff(10489,assumption,(v121(constB109, bitIndex1)), introduced(assumption)).
% 135.20/85.91 tff(10490,plain,
% 135.20/85.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex1)) | v123(constB110, bitIndex1) | (~v121(constB109, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex1)) | v123(constB110, bitIndex1) | (~v121(constB109, bitIndex1)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10491,plain,
% 135.20/85.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex1)) | v123(constB110, bitIndex1) | (~v121(constB109, bitIndex1)))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10492,plain,
% 135.20/85.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex1)) | v123(constB110, bitIndex1) | (~v121(constB109, bitIndex1))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 135.20/85.91 tff(10493,plain,
% 135.20/85.91 ($false),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10492, 1708, 823, 6752, 10489, 10488])).
% 135.20/85.91 tff(10494,plain,(v123(constB110, bitIndex1) | (~v121(constB109, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.20/85.91 tff(10495,plain,
% 135.20/85.91 ($false),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10494, 10487, 8841])).
% 135.20/85.91 tff(10496,plain,(v84(constB109, bitIndex2) | v84(constB110, bitIndex1) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.91 tff(10497,plain,
% 135.20/85.91 (v84(constB109, bitIndex2)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10496, 8693, 6519])).
% 135.20/85.91 tff(10498,plain,
% 135.20/85.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB108, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB108, bitIndex2))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10499,plain,
% 135.20/85.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB108, bitIndex2))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10500,plain,
% 135.20/85.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB108, constB109)) | v94(constB109) | (~less_3(bitIndex2)) | (~v84(constB109, bitIndex2)) | v84(constB108, bitIndex2)),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10499, 10498])).
% 135.20/85.91 tff(10501,plain,
% 135.20/85.91 ($false),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10500, 805, 767, 6729, 6741, 6748, 6639])).
% 135.20/85.91 tff(10502,plain,((~v84(constB109, bitIndex2)) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.20/85.91 tff(10503,plain,
% 135.20/85.91 (v84(constB108, bitIndex2)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10502, 10497])).
% 135.20/85.91 tff(10504,plain,
% 135.20/85.91 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB108)) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB108)) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10505,plain,
% 135.20/85.91 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB108)) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10506,plain,
% 135.20/85.91 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB108)) | (~v84(constB108, bitIndex2)) | v123(constB108, bitIndex2)),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 135.20/85.91 tff(10507,plain,
% 135.20/85.91 (v123(constB108, bitIndex2)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10506, 1344, 767, 7817, 10503])).
% 135.20/85.91 tff(10508,plain,
% 135.20/85.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex2)) | (~v123(constB108, bitIndex2)) | v121(constB107, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex2)) | (~v123(constB108, bitIndex2)) | v121(constB107, bitIndex2))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10509,plain,
% 135.20/85.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB107, constB108)) | (~less_3(bitIndex2)) | (~v123(constB108, bitIndex2)) | v121(constB107, bitIndex2))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10510,plain,
% 135.20/85.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB107, constB108)) | (~less_3(bitIndex2)) | (~v123(constB108, bitIndex2)) | v121(constB107, bitIndex2)),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10509, 10508])).
% 135.20/85.91 tff(10511,plain,
% 135.20/85.91 (v121(constB107, bitIndex2)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10510, 1362, 767, 6567, 10507])).
% 135.20/85.91 tff(10512,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex2)) | (~v121(constB107, bitIndex2)) | v124(constB107, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex2)) | (~v121(constB107, bitIndex2)) | v124(constB107, bitIndex2))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10513,plain,
% 135.20/85.91 ((v26(constB107) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2))) <=> (v26(constB107) | (~less_3(bitIndex2)) | (~v121(constB107, bitIndex2)) | v124(constB107, bitIndex2))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10514,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex2)) | (~v121(constB107, bitIndex2)) | v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10513])).
% 135.20/85.91 tff(10515,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex2)) | (~v121(constB107, bitIndex2)) | v124(constB107, bitIndex2))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10514, 10512])).
% 135.20/85.91 tff(10516,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB107) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~v121(constB107, bitIndex2)))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10517,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB107) | (~less_3(bitIndex2)) | (~v121(constB107, bitIndex2)) | v124(constB107, bitIndex2)),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10516, 10515])).
% 135.20/85.91 tff(10518,plain,
% 135.20/85.91 (v124(constB107, bitIndex2)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10517, 1380, 767, 6606, 10511])).
% 135.20/85.91 tff(10519,assumption,(v124(constB107, bitIndex2)), introduced(assumption)).
% 135.20/85.91 tff(10520,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB107)) | (~v124(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10521,plain,
% 135.20/85.91 (((~v118(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10522,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB107)) | (~v124(constB107, bitIndex2))))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10521])).
% 135.20/85.91 tff(10523,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10522, 10520])).
% 135.20/85.91 tff(10524,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b011(bitIndex2))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10525,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB107)) | (~v124(constB107, bitIndex2))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10524, 10523])).
% 135.20/85.91 tff(10526,plain,
% 135.20/85.91 (~v118(constB107)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10525, 2030, 2027, 767, 10519])).
% 135.20/85.91 tff(10527,plain,
% 135.20/85.91 (~v172(constB107)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10125, 9993])).
% 135.20/85.91 tff(10528,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB107)) | (~v124(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10529,plain,
% 135.20/85.91 (((~v145(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10530,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB107)) | (~v124(constB107, bitIndex2))))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10529])).
% 135.20/85.91 tff(10531,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10530, 10528])).
% 135.20/85.91 tff(10532,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b010(bitIndex2))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10533,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB107)) | (~v124(constB107, bitIndex2))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10532, 10531])).
% 135.20/85.91 tff(10534,plain,
% 135.20/85.91 (~v145(constB107)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10533, 1419, 1416, 767, 10519])).
% 135.20/85.91 tff(10535,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB107)) | (~v124(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10536,plain,
% 135.20/85.91 (((~v115(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10537,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB107)) | (~v124(constB107, bitIndex2))))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10536])).
% 135.20/85.91 tff(10538,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB107)) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10537, 10535])).
% 135.20/85.91 tff(10539,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB107)) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b011(bitIndex2))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10540,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB107)) | (~v124(constB107, bitIndex2))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10539, 10538])).
% 135.20/85.91 tff(10541,plain,
% 135.20/85.91 (~v115(constB107)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10540, 2030, 2257, 767, 10519])).
% 135.20/85.91 tff(10542,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB107)) | (~v124(constB107, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10543,plain,
% 135.20/85.91 (((~v116(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10544,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB107)) | (~v124(constB107, bitIndex0))))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10543])).
% 135.20/85.91 tff(10545,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10544, 10542])).
% 135.20/85.91 tff(10546,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b100(bitIndex0))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10547,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB107)) | (~v124(constB107, bitIndex0))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10546, 10545])).
% 135.20/85.91 tff(10548,plain,
% 135.20/85.91 (~v116(constB107)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10547, 2386, 2164, 795, 9993])).
% 135.20/85.91 tff(10549,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB107)) | (~v124(constB107, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10550,plain,
% 135.20/85.91 (((~v113(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10551,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB107)) | (~v124(constB107, bitIndex0))))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10550])).
% 135.20/85.91 tff(10552,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB107)) | (~v124(constB107, bitIndex0)))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10551, 10549])).
% 135.20/85.91 tff(10553,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB107)) | (~less_3(bitIndex0)) | (~v124(constB107, bitIndex0)) | b100(bitIndex0))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10554,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB107)) | (~v124(constB107, bitIndex0))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10553, 10552])).
% 135.20/85.91 tff(10555,plain,
% 135.20/85.91 (~v113(constB107)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10554, 2386, 2186, 795, 9993])).
% 135.20/85.91 tff(10556,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10557,plain,
% 135.20/85.91 ((v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(rewrite,[status(thm)],[])).
% 135.20/85.91 tff(10558,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex2))))),
% 135.20/85.91 inference(monotonicity,[status(thm)],[10557])).
% 135.20/85.91 tff(10559,plain,
% 135.20/85.91 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex2)))),
% 135.20/85.91 inference(transitivity,[status(thm)],[10558, 10556])).
% 135.20/85.91 tff(10560,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB107) | v145(constB107) | v115(constB107) | v116(constB107) | v172(constB107) | v118(constB107) | (~less_3(bitIndex2)) | (~v124(constB107, bitIndex2)) | b001(bitIndex2))),
% 135.20/85.91 inference(quant_inst,[status(thm)],[])).
% 135.20/85.91 tff(10561,plain,
% 135.20/85.91 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107) | (~v124(constB107, bitIndex2))),
% 135.20/85.91 inference(modus_ponens,[status(thm)],[10560, 10559])).
% 135.20/85.91 tff(10562,plain,
% 135.20/85.91 (v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107)),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10561, 2427, 2424, 767, 10519])).
% 135.20/85.91 tff(10563,plain,
% 135.20/85.91 ($false),
% 135.20/85.91 inference(unit_resolution,[status(thm)],[10562, 10555, 10548, 10541, 10534, 10527, 10526])).
% 135.20/85.91 tff(10564,plain,((~v124(constB107, bitIndex0)) | (~v124(constB107, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10565,plain,
% 135.28/85.92 (~v124(constB107, bitIndex0)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10564, 10518])).
% 135.28/85.92 tff(10566,plain,
% 135.28/85.92 (~v121(constB107, bitIndex0)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10116, 10565])).
% 135.28/85.92 tff(10567,plain,
% 135.28/85.92 (~v123(constB108, bitIndex0)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10110, 10566])).
% 135.28/85.92 tff(10568,plain,
% 135.28/85.92 (~v84(constB108, bitIndex0)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10104, 10567, 7817])).
% 135.28/85.92 tff(10569,plain,
% 135.28/85.92 (~v84(constB109, bitIndex0)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10098, 10568])).
% 135.28/85.92 tff(10570,plain,
% 135.28/85.92 (~v84(constB111, bitIndex0)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8611, 8692, 8690, 8682, 8689])).
% 135.28/85.92 tff(10571,plain,
% 135.28/85.92 (v84(constB111, bitIndex0) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[7191, 983, 8678])).
% 135.28/85.92 tff(10572,plain,
% 135.28/85.92 (v84(constB111, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10571, 8692, 10570])).
% 135.28/85.92 tff(10573,plain,
% 135.28/85.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex2)) | (~v84(constB111, bitIndex2)) | v84(constB110, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex2)) | (~v84(constB111, bitIndex2)) | v84(constB110, bitIndex2))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10574,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex2)) | (~v84(constB111, bitIndex2)) | v84(constB110, bitIndex2))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10575,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex2)) | (~v84(constB111, bitIndex2)) | v84(constB110, bitIndex2)),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10574, 10573])).
% 135.28/85.92 tff(10576,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10575, 805, 767, 6929, 6941, 6948, 6561])).
% 135.28/85.92 tff(10577,plain,((~v84(constB111, bitIndex2)) | v84(constB110, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10578,plain,
% 135.28/85.92 (v84(constB110, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10577, 10572])).
% 135.28/85.92 tff(10579,plain,
% 135.28/85.92 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB109, bitIndex0) | (~v118(constB109)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB109, bitIndex0) | (~v118(constB109)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10580,plain,
% 135.28/85.92 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB109, bitIndex0) | (~v118(constB109)))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10581,plain,
% 135.28/85.92 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB109, bitIndex0) | (~v118(constB109))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10580, 10579])).
% 135.28/85.92 tff(10582,plain,
% 135.28/85.92 (~v118(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10581, 2642, 6778])).
% 135.28/85.92 tff(10583,plain,
% 135.28/85.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v115(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB109, bitIndex2)) | (~v115(constB109)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10584,plain,
% 135.28/85.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v115(constB109)))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10585,plain,
% 135.28/85.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB109, bitIndex2)) | (~v115(constB109))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 135.28/85.92 tff(10586,plain,
% 135.28/85.92 (~v115(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10585, 2665, 6748])).
% 135.28/85.92 tff(10587,plain,
% 135.28/85.92 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB109)) | (~v84(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB109)) | (~v84(constB109, bitIndex2)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10588,plain,
% 135.28/85.92 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB109)) | (~v84(constB109, bitIndex2)))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10589,plain,
% 135.28/85.92 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB109)) | (~v84(constB109, bitIndex2))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 135.28/85.92 tff(10590,plain,
% 135.28/85.92 (~v113(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10589, 1119, 6748])).
% 135.28/85.92 tff(10591,plain,
% 135.28/85.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB109)) | (~v84(constB109, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB109)) | (~v84(constB109, bitIndex2)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10592,plain,
% 135.28/85.92 (((~v84(constB109, bitIndex2)) | (~v145(constB109))) <=> ((~v145(constB109)) | (~v84(constB109, bitIndex2)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10593,plain,
% 135.28/85.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB109)) | (~v84(constB109, bitIndex2))))),
% 135.28/85.92 inference(monotonicity,[status(thm)],[10592])).
% 135.28/85.92 tff(10594,plain,
% 135.28/85.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB109)) | (~v84(constB109, bitIndex2)))),
% 135.28/85.92 inference(transitivity,[status(thm)],[10593, 10591])).
% 135.28/85.92 tff(10595,plain,
% 135.28/85.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB109, bitIndex2)) | (~v145(constB109)))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10596,plain,
% 135.28/85.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB109)) | (~v84(constB109, bitIndex2))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10595, 10594])).
% 135.28/85.92 tff(10597,plain,
% 135.28/85.92 (~v145(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10596, 725, 6748])).
% 135.28/85.92 tff(10598,assumption,(~v172(constB109)), introduced(assumption)).
% 135.28/85.92 tff(10599,assumption,(~v116(constB109)), introduced(assumption)).
% 135.28/85.92 tff(10600,assumption,(v124(constB109, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10601,assumption,(~v118(constB109)), introduced(assumption)).
% 135.28/85.92 tff(10602,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex2)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10603,plain,
% 135.28/85.92 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex2)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10604,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex2))))),
% 135.28/85.92 inference(monotonicity,[status(thm)],[10603])).
% 135.28/85.92 tff(10605,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex2)))),
% 135.28/85.92 inference(transitivity,[status(thm)],[10604, 10602])).
% 135.28/85.92 tff(10606,plain,
% 135.28/85.92 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b001(bitIndex2))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10607,plain,
% 135.28/85.92 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex2))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 135.28/85.92 tff(10608,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10607, 2427, 2424, 767, 8770, 8779, 10598, 10601, 8804, 10600, 10599])).
% 135.28/85.92 tff(10609,plain,((~v124(constB109, bitIndex2)) | v145(constB109) | v113(constB109) | v172(constB109) | v118(constB109) | v115(constB109) | v116(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10610,plain,
% 135.28/85.92 (~v124(constB109, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10609, 10598, 6893, 10597, 10590, 10586, 10582])).
% 135.28/85.92 tff(10611,assumption,(v121(constB109, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10612,assumption,(~v124(constB109, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10613,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10614,plain,
% 135.28/85.92 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2)))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10615,plain,
% 135.28/85.92 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~v121(constB109, bitIndex2))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 135.28/85.92 tff(10616,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10615, 1380, 767, 6903, 10612, 10611])).
% 135.28/85.92 tff(10617,plain,((~v121(constB109, bitIndex2)) | v124(constB109, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10618,plain,
% 135.28/85.92 (~v121(constB109, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10617, 10610])).
% 135.28/85.92 tff(10619,plain,
% 135.28/85.92 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v172(constB109))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v172(constB109))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10620,plain,
% 135.28/85.92 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v172(constB109))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10621,plain,
% 135.28/85.92 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v172(constB109)),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10620, 10619])).
% 135.28/85.92 tff(10622,plain,
% 135.28/85.92 (v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v172(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10621, 1047, 6748])).
% 135.28/85.92 tff(10623,plain,
% 135.28/85.92 (v84(constB109, bitIndex1)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10622, 10598, 6778])).
% 135.28/85.92 tff(10624,plain,
% 135.28/85.92 (v94(constB110)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[6981, 10623, 6973])).
% 135.28/85.92 tff(10625,assumption,(~v123(constB110, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10626,plain,
% 135.28/85.92 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB110)) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB110)) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10627,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB110)) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10628,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB110)) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2)),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10627, 10626])).
% 135.28/85.92 tff(10629,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10628, 1344, 767, 8832, 6922, 10625])).
% 135.28/85.92 tff(10630,plain,((~v84(constB110, bitIndex2)) | (~v94(constB110)) | v123(constB110, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10631,plain,
% 135.28/85.92 (v123(constB110, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10630, 10624, 6922])).
% 135.28/85.92 tff(10632,assumption,(v123(constB110, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10633,assumption,(~v121(constB109, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10634,plain,
% 135.28/85.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v121(constB109, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v121(constB109, bitIndex2))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10635,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v121(constB109, bitIndex2))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10636,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v121(constB109, bitIndex2)),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10635, 10634])).
% 135.28/85.92 tff(10637,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10636, 1362, 767, 6752, 10633, 10632])).
% 135.28/85.92 tff(10638,plain,((~v123(constB110, bitIndex2)) | v121(constB109, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10639,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10638, 10631, 10618])).
% 135.28/85.92 tff(10640,plain,(v172(constB109) | (~v84(constB110, bitIndex2)) | v84(constB110, bitIndex1) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10641,plain,
% 135.28/85.92 (v172(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10640, 10578, 8693, 10569, 10497])).
% 135.28/85.92 tff(10642,assumption,(v172(constB109)), introduced(assumption)).
% 135.28/85.92 tff(10643,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB109)) | v124(constB109, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB109)) | v124(constB109, bitIndex1))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10644,plain,
% 135.28/85.92 (((~v172(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB109)) | v124(constB109, bitIndex1))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10645,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB109)) | v124(constB109, bitIndex1)))),
% 135.28/85.92 inference(monotonicity,[status(thm)],[10644])).
% 135.28/85.92 tff(10646,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB109)) | v124(constB109, bitIndex1))),
% 135.28/85.92 inference(transitivity,[status(thm)],[10645, 10643])).
% 135.28/85.92 tff(10647,plain,
% 135.28/85.92 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB109)) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~b110(bitIndex1)))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10648,plain,
% 135.28/85.92 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB109)) | v124(constB109, bitIndex1)),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10647, 10646])).
% 135.28/85.92 tff(10649,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10648, 1801, 1798, 823, 10642, 9962])).
% 135.28/85.92 tff(10650,plain,(v124(constB109, bitIndex1) | (~v172(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10651,plain,
% 135.28/85.92 (v124(constB109, bitIndex1)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10650, 10641])).
% 135.28/85.92 tff(10652,plain,
% 135.28/85.92 (v121(constB109, bitIndex1)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10486, 10651])).
% 135.28/85.92 tff(10653,plain,
% 135.28/85.92 (v123(constB110, bitIndex1)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10494, 10652])).
% 135.28/85.92 tff(10654,plain,
% 135.28/85.92 (~v94(constB110)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8840, 10653, 8693])).
% 135.28/85.92 tff(10655,plain,
% 135.28/85.92 (~v84(constB109, bitIndex1)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[6981, 10654, 8693])).
% 135.28/85.92 tff(10656,assumption,(~v109(constB109)), introduced(assumption)).
% 135.28/85.92 tff(10657,plain,
% 135.28/85.92 (~v110(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8747, 680, 10656])).
% 135.28/85.92 tff(10658,plain,
% 135.28/85.92 (~v111(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8755, 691, 10657])).
% 135.28/85.92 tff(10659,plain,
% 135.28/85.92 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB109) | (~v172(constB109)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB109) | (~v172(constB109)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10660,plain,
% 135.28/85.92 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB109) | (~v172(constB109)))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10661,plain,
% 135.28/85.92 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB109) | (~v172(constB109))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10660, 10659])).
% 135.28/85.92 tff(10662,plain,
% 135.28/85.92 (~v172(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10661, 1033, 10656])).
% 135.28/85.92 tff(10663,plain,
% 135.28/85.92 ((~v84(constB109, bitIndex2)) | v172(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10621, 1047, 6818, 6778])).
% 135.28/85.92 tff(10664,plain,
% 135.28/85.92 (~v84(constB109, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10663, 10662])).
% 135.28/85.92 tff(10665,plain,
% 135.28/85.92 (v113(constB109) | v84(constB109, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8782, 983, 6818, 6778])).
% 135.28/85.92 tff(10666,plain,
% 135.28/85.92 (v113(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10665, 10664])).
% 135.28/85.92 tff(10667,plain,
% 135.28/85.92 (v112(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8768, 969, 10666])).
% 135.28/85.92 tff(10668,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8759, 702, 10667, 10658])).
% 135.28/85.92 tff(10669,plain,(v109(constB109) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10670,plain,
% 135.28/85.92 (v109(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10669, 10655, 10569])).
% 135.28/85.92 tff(10671,plain,
% 135.28/85.92 (v108(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8743, 669, 10670])).
% 135.28/85.92 tff(10672,plain,
% 135.28/85.92 (~v104(constB110)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8715, 10654])).
% 135.28/85.92 tff(10673,plain,
% 135.28/85.92 (~v102(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8723, 10672])).
% 135.28/85.92 tff(10674,plain,
% 135.28/85.92 (~v106(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8727, 619, 10673])).
% 135.28/85.92 tff(10675,plain,
% 135.28/85.92 (~v107(constB109)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8735, 10674])).
% 135.28/85.92 tff(10676,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[8739, 658, 10675, 10671])).
% 135.28/85.92 tff(10677,plain,(v84(constB116, bitIndex2) | v145(constB105) | v84(constB116, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10678,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10677, 6558, 6547, 6519])).
% 135.28/85.92 tff(10679,plain,((~v113(constB117)) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10680,plain,
% 135.28/85.92 (~v113(constB117)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10679, 6519])).
% 135.28/85.92 tff(10681,plain,
% 135.28/85.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB118, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB118, bitIndex2)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10682,plain,
% 135.28/85.92 (((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | (~v84(constB118, bitIndex2)) | v84(constB117, bitIndex2)) <=> ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB118, bitIndex2)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10683,plain,
% 135.28/85.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | (~v84(constB118, bitIndex2)) | v84(constB117, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB118, bitIndex2))))),
% 135.28/85.92 inference(monotonicity,[status(thm)],[10682])).
% 135.28/85.92 tff(10684,plain,
% 135.28/85.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | (~v84(constB118, bitIndex2)) | v84(constB117, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB118, bitIndex2)))),
% 135.28/85.92 inference(transitivity,[status(thm)],[10683, 10681])).
% 135.28/85.92 tff(10685,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | (~v84(constB118, bitIndex2)) | v84(constB117, bitIndex2))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10686,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex2)) | v84(constB117, bitIndex2) | (~v84(constB118, bitIndex2))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10685, 10684])).
% 135.28/85.92 tff(10687,plain,
% 135.28/85.92 (v94(constB118) | v84(constB117, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10686, 805, 767, 5455, 5770])).
% 135.28/85.92 tff(10688,plain,
% 135.28/85.92 (v94(constB118)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10687, 6525])).
% 135.28/85.92 tff(10689,plain,
% 135.28/85.92 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB118)) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB118)) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10690,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB118)) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10691,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB118)) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1)),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10690, 10689])).
% 135.28/85.92 tff(10692,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10691, 1344, 823, 5521, 5568, 5549])).
% 135.28/85.92 tff(10693,plain,(v123(constB118, bitIndex1) | (~v94(constB118)) | (~v84(constB118, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10694,plain,
% 135.28/85.92 (v123(constB118, bitIndex1)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10693, 10688, 5568])).
% 135.28/85.92 tff(10695,plain,
% 135.28/85.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex1)) | (~v123(constB118, bitIndex1)) | v121(constB117, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex1)) | (~v123(constB118, bitIndex1)) | v121(constB117, bitIndex1))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10696,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB117, constB118)) | (~less_3(bitIndex1)) | (~v123(constB118, bitIndex1)) | v121(constB117, bitIndex1))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10697,plain,
% 135.28/85.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB117, constB118)) | (~less_3(bitIndex1)) | (~v123(constB118, bitIndex1)) | v121(constB117, bitIndex1)),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10696, 10695])).
% 135.28/85.92 tff(10698,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10697, 1362, 823, 5455, 5557, 5538])).
% 135.28/85.92 tff(10699,plain,((~v123(constB118, bitIndex1)) | v121(constB117, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10700,plain,
% 135.28/85.92 (v121(constB117, bitIndex1)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10699, 10694])).
% 135.28/85.92 tff(10701,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))),
% 135.28/85.92 inference(rewrite,[status(thm)],[])).
% 135.28/85.92 tff(10702,plain,
% 135.28/85.92 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB117) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1)))),
% 135.28/85.92 inference(quant_inst,[status(thm)],[])).
% 135.28/85.92 tff(10703,plain,
% 135.28/85.92 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB117) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1))),
% 135.28/85.92 inference(modus_ponens,[status(thm)],[10702, 10701])).
% 135.28/85.92 tff(10704,plain,
% 135.28/85.92 (v124(constB117, bitIndex1)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10703, 1380, 823, 5440, 10700])).
% 135.28/85.92 tff(10705,assumption,(~v123(constB118, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10706,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[6084, 1344, 767, 5521, 5770, 10705])).
% 135.28/85.92 tff(10707,plain,((~v84(constB118, bitIndex2)) | (~v94(constB118)) | v123(constB118, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10708,plain,
% 135.28/85.92 (v123(constB118, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10707, 10688, 5770])).
% 135.28/85.92 tff(10709,plain,
% 135.28/85.92 (v121(constB117, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[6092, 10708])).
% 135.28/85.92 tff(10710,assumption,(v121(constB117, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10711,assumption,(~v124(constB117, bitIndex2)), introduced(assumption)).
% 135.28/85.92 tff(10712,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[6099, 1380, 767, 5440, 10711, 10710])).
% 135.28/85.92 tff(10713,plain,((~v121(constB117, bitIndex2)) | v124(constB117, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10714,plain,
% 135.28/85.92 (v124(constB117, bitIndex2)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10713, 10709])).
% 135.28/85.92 tff(10715,assumption,(v115(constB117)), introduced(assumption)).
% 135.28/85.92 tff(10716,plain,
% 135.28/85.92 ($false),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[6140, 2030, 2257, 767, 6142, 10715])).
% 135.28/85.92 tff(10717,plain,((~v124(constB117, bitIndex2)) | (~v115(constB117))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.92 tff(10718,plain,
% 135.28/85.92 (~v115(constB117)),
% 135.28/85.92 inference(unit_resolution,[status(thm)],[10717, 10714])).
% 135.28/85.92 tff(10719,plain,
% 135.28/85.92 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB117)) | (~v124(constB117, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB117)) | (~v124(constB117, bitIndex1)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10720,plain,
% 135.28/85.93 (((~v116(constB117)) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB117)) | (~v124(constB117, bitIndex1)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10721,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB117)) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB117)) | (~v124(constB117, bitIndex1))))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10720])).
% 135.28/85.93 tff(10722,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB117)) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB117)) | (~v124(constB117, bitIndex1)))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10721, 10719])).
% 135.28/85.93 tff(10723,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB117)) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | b100(bitIndex1))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10724,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB117)) | (~v124(constB117, bitIndex1))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10723, 10722])).
% 135.28/85.93 tff(10725,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10724, 2167, 2164, 823, 6108, 5539])).
% 135.28/85.93 tff(10726,plain,((~v124(constB117, bitIndex1)) | (~v116(constB117))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10727,plain,
% 135.28/85.93 (~v116(constB117)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10726, 10704])).
% 135.28/85.93 tff(10728,plain,
% 135.28/85.93 (~v118(constB117)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[6123, 2030, 2027, 767, 10714])).
% 135.28/85.93 tff(10729,plain,
% 135.28/85.93 (~v145(constB117)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[6106, 1419, 1416, 767, 10714])).
% 135.28/85.93 tff(10730,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex1)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10731,plain,
% 135.28/85.93 ((v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex1)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10732,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex1))))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10731])).
% 135.28/85.93 tff(10733,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex1)))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10732, 10730])).
% 135.28/85.93 tff(10734,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB117) | v145(constB117) | v115(constB117) | v116(constB117) | v172(constB117) | v118(constB117) | (~less_3(bitIndex1)) | (~v124(constB117, bitIndex1)) | b001(bitIndex1))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10735,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117) | (~v124(constB117, bitIndex1))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10734, 10733])).
% 135.28/85.93 tff(10736,plain,
% 135.28/85.93 (v172(constB117)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10735, 2601, 2424, 823, 10729, 6147, 10728, 10727, 10718, 10704])).
% 135.28/85.93 tff(10737,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB117, bitIndex2) | (~v172(constB117)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB117, bitIndex2) | (~v172(constB117)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10738,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB117, bitIndex2) | (~v172(constB117)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10739,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB117, bitIndex2) | (~v172(constB117))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10738, 10737])).
% 135.28/85.93 tff(10740,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10739, 5263, 6525, 10736])).
% 135.28/85.93 tff(10741,plain,(v84(constB117, bitIndex2) | v113(constB117) | (~v84(constB118, bitIndex1)) | (~v84(constB118, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10742,plain,
% 135.28/85.93 (v84(constB117, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10741, 10680, 5770, 5568])).
% 135.28/85.93 tff(10743,plain,
% 135.28/85.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB117, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB117, bitIndex2)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10744,plain,
% 135.28/85.93 (((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | (~v84(constB117, bitIndex2)) | v84(constB116, bitIndex2)) <=> ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB117, bitIndex2)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10745,plain,
% 135.28/85.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | (~v84(constB117, bitIndex2)) | v84(constB116, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB117, bitIndex2))))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10744])).
% 135.28/85.93 tff(10746,plain,
% 135.28/85.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | (~v84(constB117, bitIndex2)) | v84(constB116, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB117, bitIndex2)))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10745, 10743])).
% 135.28/85.93 tff(10747,plain,
% 135.28/85.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | (~v84(constB117, bitIndex2)) | v84(constB116, bitIndex2))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10748,plain,
% 135.28/85.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex2)) | v84(constB116, bitIndex2) | (~v84(constB117, bitIndex2))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10747, 10746])).
% 135.28/85.93 tff(10749,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10748, 805, 767, 6529, 6541, 7818, 5355])).
% 135.28/85.93 tff(10750,plain,((~v84(constB117, bitIndex2)) | v84(constB116, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10751,plain,
% 135.28/85.93 (v84(constB116, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10750, 10742])).
% 135.28/85.93 tff(10752,assumption,(v145(constB103)), introduced(assumption)).
% 135.28/85.93 tff(10753,assumption,(~v84(constB103, bitIndex0)), introduced(assumption)).
% 135.28/85.93 tff(10754,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB103, bitIndex0) | (~v145(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB103, bitIndex0) | (~v145(constB103)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10755,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB103, bitIndex0) | (~v145(constB103)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10756,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB103, bitIndex0) | (~v145(constB103))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10755, 10754])).
% 135.28/85.93 tff(10757,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10756, 788, 10752, 10753])).
% 135.28/85.93 tff(10758,plain,((~v145(constB103)) | v84(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10759,plain,
% 135.28/85.93 (v84(constB103, bitIndex0)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10758, 10752])).
% 135.28/85.93 tff(10760,assumption,(v84(constB103, bitIndex0)), introduced(assumption)).
% 135.28/85.93 tff(10761,assumption,(v119(constB103)), introduced(assumption)).
% 135.28/85.93 tff(10762,plain,
% 135.28/85.93 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB103)) | (~v84(constB103, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB103)) | (~v84(constB103, bitIndex0)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10763,plain,
% 135.28/85.93 (((~v84(constB103, bitIndex0)) | (~v119(constB103))) <=> ((~v119(constB103)) | (~v84(constB103, bitIndex0)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10764,plain,
% 135.28/85.93 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v119(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB103)) | (~v84(constB103, bitIndex0))))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10763])).
% 135.28/85.93 tff(10765,plain,
% 135.28/85.93 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v119(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB103)) | (~v84(constB103, bitIndex0)))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10764, 10762])).
% 135.28/85.93 tff(10766,plain,
% 135.28/85.93 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v119(constB103)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10767,plain,
% 135.28/85.93 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB103)) | (~v84(constB103, bitIndex0))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10766, 10765])).
% 135.28/85.93 tff(10768,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10767, 3173, 10761, 10760])).
% 135.28/85.93 tff(10769,plain,((~v119(constB103)) | (~v84(constB103, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10770,plain,
% 135.28/85.93 (~v119(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10769, 10759])).
% 135.28/85.93 tff(10771,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10296, 725, 9824, 9561])).
% 135.28/85.93 tff(10772,plain,((~v145(constB105)) | (~v84(constB105, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10773,plain,
% 135.28/85.93 (~v84(constB105, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10772, 9824])).
% 135.28/85.93 tff(10774,plain,
% 135.28/85.93 (~v84(constB104, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8928, 10773])).
% 135.28/85.93 tff(10775,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9144, 777, 767, 8973, 9262, 8961, 9312])).
% 135.28/85.93 tff(10776,plain,(v84(constB104, bitIndex2) | v94(constB104)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10777,plain,
% 135.28/85.93 (v94(constB104)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10776, 10774])).
% 135.28/85.93 tff(10778,plain,
% 135.28/85.93 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB105)) | (~v84(constB105, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB105)) | (~v84(constB105, bitIndex1)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10779,plain,
% 135.28/85.93 (((~v84(constB105, bitIndex1)) | (~v145(constB105))) <=> ((~v145(constB105)) | (~v84(constB105, bitIndex1)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10780,plain,
% 135.28/85.93 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB105)) | (~v84(constB105, bitIndex1))))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10779])).
% 135.28/85.93 tff(10781,plain,
% 135.28/85.93 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v145(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB105)) | (~v84(constB105, bitIndex1)))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10780, 10778])).
% 135.28/85.93 tff(10782,plain,
% 135.28/85.93 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB105, bitIndex1)) | (~v145(constB105)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10783,plain,
% 135.28/85.93 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB105)) | (~v84(constB105, bitIndex1))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10782, 10781])).
% 135.28/85.93 tff(10784,plain,
% 135.28/85.93 (~v84(constB105, bitIndex1)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10783, 816, 9824])).
% 135.28/85.93 tff(10785,plain,
% 135.28/85.93 (~v84(constB104, bitIndex1)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8940, 10784])).
% 135.28/85.93 tff(10786,assumption,(v123(constB104, bitIndex1)), introduced(assumption)).
% 135.28/85.93 tff(10787,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9025, 1674, 823, 8898, 9019, 10786])).
% 135.28/85.93 tff(10788,plain,(v84(constB104, bitIndex1) | (~v94(constB104)) | (~v123(constB104, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10789,plain,
% 135.28/85.93 (~v123(constB104, bitIndex1)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10788, 10785, 10777])).
% 135.28/85.93 tff(10790,assumption,(v121(constB103, bitIndex1)), introduced(assumption)).
% 135.28/85.93 tff(10791,assumption,(~v123(constB104, bitIndex1)), introduced(assumption)).
% 135.28/85.93 tff(10792,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9029, 1708, 823, 8973, 10791, 10790])).
% 135.28/85.93 tff(10793,plain,(v123(constB104, bitIndex1) | (~v121(constB103, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10794,plain,
% 135.28/85.93 (~v121(constB103, bitIndex1)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10793, 10789])).
% 135.28/85.93 tff(10795,assumption,(~v121(constB103, bitIndex1)), introduced(assumption)).
% 135.28/85.93 tff(10796,assumption,(v124(constB103, bitIndex1)), introduced(assumption)).
% 135.28/85.93 tff(10797,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9036, 1728, 823, 8945, 10796, 10795])).
% 135.28/85.93 tff(10798,plain,(v121(constB103, bitIndex1) | (~v124(constB103, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10799,plain,
% 135.28/85.93 (~v124(constB103, bitIndex1)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10798, 10794])).
% 135.28/85.93 tff(10800,plain,
% 135.28/85.93 (~v123(constB104, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8967, 1674, 767, 10777, 10774])).
% 135.28/85.93 tff(10801,plain,
% 135.28/85.93 (~v121(constB103, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8978, 10800])).
% 135.28/85.93 tff(10802,plain,
% 135.28/85.93 (~v124(constB103, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8985, 1728, 767, 8945, 10801])).
% 135.28/85.93 tff(10803,plain,
% 135.28/85.93 (~v113(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9003, 10802])).
% 135.28/85.93 tff(10804,assumption,(~v124(constB103, bitIndex1)), introduced(assumption)).
% 135.28/85.93 tff(10805,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9043, 1821, 1818, 823, 10752, 10804])).
% 135.28/85.93 tff(10806,plain,(v124(constB103, bitIndex1) | (~v145(constB103))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10807,plain,
% 135.28/85.93 (~v145(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10806, 10799])).
% 135.28/85.93 tff(10808,assumption,(~v119(constB103)), introduced(assumption)).
% 135.28/85.93 tff(10809,plain,
% 135.28/85.93 (~v84(constB105, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10296, 725, 9824])).
% 135.28/85.93 tff(10810,plain,
% 135.28/85.93 (~v84(constB104, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8928, 10809])).
% 135.28/85.93 tff(10811,plain,
% 135.28/85.93 (v94(constB104)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10776, 10810])).
% 135.28/85.93 tff(10812,plain,
% 135.28/85.93 (v121(constB103, bitIndex0)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9054, 10785, 10810, 10811])).
% 135.28/85.93 tff(10813,plain,
% 135.28/85.93 (v124(constB103, bitIndex0)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 10812])).
% 135.28/85.93 tff(10814,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB103)) | (~v124(constB103, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10815,plain,
% 135.28/85.93 (((~v172(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10816,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB103)) | (~v124(constB103, bitIndex0))))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10815])).
% 135.28/85.93 tff(10817,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10816, 10814])).
% 135.28/85.93 tff(10818,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b110(bitIndex0))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10819,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB103)) | (~v124(constB103, bitIndex0))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 135.28/85.93 tff(10820,plain,
% 135.28/85.93 (~v172(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10819, 1997, 1994, 795, 10813])).
% 135.28/85.93 tff(10821,plain,
% 135.28/85.93 (~v123(constB104, bitIndex1)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10788, 10785, 10811])).
% 135.28/85.93 tff(10822,plain,
% 135.28/85.93 (~v121(constB103, bitIndex1)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10793, 10821])).
% 135.28/85.93 tff(10823,plain,
% 135.28/85.93 (~v124(constB103, bitIndex1)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10798, 10822])).
% 135.28/85.93 tff(10824,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10825,plain,
% 135.28/85.93 (((~v118(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v118(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10826,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1)))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10825])).
% 135.28/85.93 tff(10827,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10826, 10824])).
% 135.28/85.93 tff(10828,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b011(bitIndex1)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10829,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1)),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10828, 10827])).
% 135.28/85.93 tff(10830,plain,
% 135.28/85.93 (~v118(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10829, 3033, 1145, 823, 10823])).
% 135.28/85.93 tff(10831,plain,
% 135.28/85.93 (~v123(constB104, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8967, 1674, 767, 10811, 10810])).
% 135.28/85.93 tff(10832,plain,
% 135.28/85.93 (~v121(constB103, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8978, 10831])).
% 135.28/85.93 tff(10833,plain,
% 135.28/85.93 (~v124(constB103, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[8985, 1728, 767, 8945, 10832])).
% 135.28/85.93 tff(10834,plain,
% 135.28/85.93 (~v113(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9003, 10833])).
% 135.28/85.93 tff(10835,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB103)) | (~v124(constB103, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10836,plain,
% 135.28/85.93 (((~v145(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10837,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB103)) | (~v124(constB103, bitIndex0))))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10836])).
% 135.28/85.93 tff(10838,plain,
% 135.28/85.93 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB103)) | (~v124(constB103, bitIndex0)))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10837, 10835])).
% 135.28/85.93 tff(10839,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB103)) | (~less_3(bitIndex0)) | (~v124(constB103, bitIndex0)) | b010(bitIndex0))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10840,plain,
% 135.28/85.93 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB103)) | (~v124(constB103, bitIndex0))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10839, 10838])).
% 135.28/85.93 tff(10841,plain,
% 135.28/85.93 (~v145(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10840, 2299, 1416, 795, 10813])).
% 135.28/85.93 tff(10842,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB103)) | v145(constB103) | v113(constB103))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB103)) | v145(constB103) | v113(constB103))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10843,plain,
% 135.28/85.93 ((v113(constB103) | (~v112(constB103)) | v145(constB103)) <=> ((~v112(constB103)) | v145(constB103) | v113(constB103))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10844,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB103) | (~v112(constB103)) | v145(constB103))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB103)) | v145(constB103) | v113(constB103)))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10843])).
% 135.28/85.93 tff(10845,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB103) | (~v112(constB103)) | v145(constB103))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB103)) | v145(constB103) | v113(constB103))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10844, 10842])).
% 135.28/85.93 tff(10846,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB103) | (~v112(constB103)) | v145(constB103))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10847,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB103)) | v145(constB103) | v113(constB103)),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10846, 10845])).
% 135.28/85.93 tff(10848,plain,
% 135.28/85.93 (~v112(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10847, 2894, 10841, 10834])).
% 135.28/85.93 tff(10849,plain,
% 135.28/85.93 (v104(constB104)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9098, 10811])).
% 135.28/85.93 tff(10850,plain,
% 135.28/85.93 (v102(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9093, 10849])).
% 135.28/85.93 tff(10851,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB103)) | v26(constB103) | v106(constB103))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB103)) | v26(constB103) | v106(constB103))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10852,plain,
% 135.28/85.93 ((v26(constB103) | v106(constB103) | (~v102(constB103))) <=> ((~v102(constB103)) | v26(constB103) | v106(constB103))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10853,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB103) | v106(constB103) | (~v102(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB103)) | v26(constB103) | v106(constB103)))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10852])).
% 135.28/85.93 tff(10854,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB103) | v106(constB103) | (~v102(constB103)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB103)) | v26(constB103) | v106(constB103))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10853, 10851])).
% 135.28/85.93 tff(10855,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB103) | v106(constB103) | (~v102(constB103)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10856,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB103)) | v26(constB103) | v106(constB103)),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 135.28/85.93 tff(10857,plain,
% 135.28/85.93 ((~v102(constB103)) | v106(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10856, 3146, 8945])).
% 135.28/85.93 tff(10858,plain,
% 135.28/85.93 (v106(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10857, 10850])).
% 135.28/85.93 tff(10859,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB103) | (~v106(constB103)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB103) | (~v106(constB103)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10860,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB103) | (~v106(constB103)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10861,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB103) | (~v106(constB103))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10860, 10859])).
% 135.28/85.93 tff(10862,plain,
% 135.28/85.93 (v107(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10861, 3161, 10858])).
% 135.28/85.93 tff(10863,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB103) | v119(constB103) | (~v107(constB103)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB103) | v119(constB103) | (~v107(constB103)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10864,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB103) | v119(constB103) | (~v107(constB103)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10865,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB103) | v119(constB103) | (~v107(constB103))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10864, 10863])).
% 135.28/85.93 tff(10866,plain,
% 135.28/85.93 (v108(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10865, 3195, 10808, 10862])).
% 135.28/85.93 tff(10867,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB103) | v118(constB103) | (~v108(constB103)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB103) | v118(constB103) | (~v108(constB103)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10868,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB103) | v118(constB103) | (~v108(constB103)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10869,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB103) | v118(constB103) | (~v108(constB103))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10868, 10867])).
% 135.28/85.93 tff(10870,plain,
% 135.28/85.93 (v109(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10869, 2856, 9315, 10866])).
% 135.28/85.93 tff(10871,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB103)) | v172(constB103) | v110(constB103))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB103)) | v172(constB103) | v110(constB103))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10872,plain,
% 135.28/85.93 ((v110(constB103) | (~v109(constB103)) | v172(constB103)) <=> ((~v109(constB103)) | v172(constB103) | v110(constB103))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10873,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB103) | (~v109(constB103)) | v172(constB103))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB103)) | v172(constB103) | v110(constB103)))),
% 135.28/85.93 inference(monotonicity,[status(thm)],[10872])).
% 135.28/85.93 tff(10874,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB103) | (~v109(constB103)) | v172(constB103))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB103)) | v172(constB103) | v110(constB103))),
% 135.28/85.93 inference(transitivity,[status(thm)],[10873, 10871])).
% 135.28/85.93 tff(10875,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB103) | (~v109(constB103)) | v172(constB103))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10876,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB103)) | v172(constB103) | v110(constB103)),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 135.28/85.93 tff(10877,plain,
% 135.28/85.93 (v110(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10876, 2871, 9324, 10870])).
% 135.28/85.93 tff(10878,assumption,(v124(constB103, bitIndex0)), introduced(assumption)).
% 135.28/85.93 tff(10879,assumption,(v116(constB103)), introduced(assumption)).
% 135.28/85.93 tff(10880,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9624, 2386, 2164, 795, 10879, 10878])).
% 135.28/85.93 tff(10881,plain,((~v124(constB103, bitIndex0)) | (~v116(constB103))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10882,plain,
% 135.28/85.93 (~v116(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10881, 10813])).
% 135.28/85.93 tff(10883,plain,
% 135.28/85.93 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB103) | v116(constB103) | (~v110(constB103)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB103) | v116(constB103) | (~v110(constB103)))),
% 135.28/85.93 inference(rewrite,[status(thm)],[])).
% 135.28/85.93 tff(10884,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB103) | v116(constB103) | (~v110(constB103)))),
% 135.28/85.93 inference(quant_inst,[status(thm)],[])).
% 135.28/85.93 tff(10885,plain,
% 135.28/85.93 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB103) | v116(constB103) | (~v110(constB103))),
% 135.28/85.93 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 135.28/85.93 tff(10886,plain,
% 135.28/85.93 (v111(constB103)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10885, 2932, 10882, 10877])).
% 135.28/85.93 tff(10887,assumption,(v115(constB103)), introduced(assumption)).
% 135.28/85.93 tff(10888,assumption,(v124(constB103, bitIndex2)), introduced(assumption)).
% 135.28/85.93 tff(10889,plain,
% 135.28/85.93 ($false),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[9594, 2030, 2257, 767, 10888, 10887])).
% 135.28/85.93 tff(10890,plain,((~v124(constB103, bitIndex2)) | (~v115(constB103))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.93 tff(10891,plain,
% 135.28/85.93 (~v124(constB103, bitIndex2)),
% 135.28/85.93 inference(unit_resolution,[status(thm)],[10890, 10887])).
% 135.28/85.93 tff(10892,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9587, 1380, 767, 8945, 8994, 8970])).
% 135.28/85.94 tff(10893,plain,((~v121(constB103, bitIndex2)) | v124(constB103, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(10894,plain,
% 135.28/85.94 (~v121(constB103, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10893, 10891])).
% 135.28/85.94 tff(10895,assumption,(~v121(constB103, bitIndex2)), introduced(assumption)).
% 135.28/85.94 tff(10896,assumption,(v123(constB104, bitIndex2)), introduced(assumption)).
% 135.28/85.94 tff(10897,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9580, 1362, 767, 8973, 10896, 10895])).
% 135.28/85.94 tff(10898,plain,((~v123(constB104, bitIndex2)) | v121(constB103, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(10899,plain,
% 135.28/85.94 (~v123(constB104, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10898, 10894])).
% 135.28/85.94 tff(10900,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9576, 1344, 767, 8898, 8905, 8969])).
% 135.28/85.94 tff(10901,plain,((~v84(constB104, bitIndex2)) | (~v94(constB104)) | v123(constB104, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(10902,plain,
% 135.28/85.94 (~v84(constB104, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10901, 10899, 8898])).
% 135.28/85.94 tff(10903,plain,
% 135.28/85.94 (~v84(constB105, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9566, 10902])).
% 135.28/85.94 tff(10904,plain,
% 135.28/85.94 (v94(constB106)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9745, 10903])).
% 135.28/85.94 tff(10905,plain,
% 135.28/85.94 (~v119(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10289, 7833, 10903])).
% 135.28/85.94 tff(10906,plain,
% 135.28/85.94 (v94(constB108)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[6720, 6639])).
% 135.28/85.94 tff(10907,plain,
% 135.28/85.94 (~v84(constB106, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10282, 9509, 9457, 9801])).
% 135.28/85.94 tff(10908,plain,
% 135.28/85.94 (~v84(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10144, 10907])).
% 135.28/85.94 tff(10909,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB107, bitIndex0) | (~v118(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB107, bitIndex0) | (~v118(constB107)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10910,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB107, bitIndex0) | (~v118(constB107)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(10911,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB107, bitIndex0) | (~v118(constB107))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[10910, 10909])).
% 135.28/85.94 tff(10912,plain,
% 135.28/85.94 (~v118(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10911, 2642, 6665])).
% 135.28/85.94 tff(10913,plain,
% 135.28/85.94 (~v123(constB108, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8849, 1674, 767, 10906, 6639])).
% 135.28/85.94 tff(10914,plain,
% 135.28/85.94 (~v121(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8853, 1708, 767, 6567, 10913])).
% 135.28/85.94 tff(10915,plain,
% 135.28/85.94 (~v124(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8860, 1728, 767, 6606, 10914])).
% 135.28/85.94 tff(10916,plain,
% 135.28/85.94 (~v116(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10081, 1772, 1769, 767, 10915])).
% 135.28/85.94 tff(10917,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~v172(constB107)) | (~b110(bitIndex2)) | v124(constB107, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB107)) | (~b110(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10918,plain,
% 135.28/85.94 (((~v172(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v172(constB107)) | (~b110(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10919,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~v172(constB107)) | (~b110(bitIndex2)) | v124(constB107, bitIndex2)))),
% 135.28/85.94 inference(monotonicity,[status(thm)],[10918])).
% 135.28/85.94 tff(10920,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB107)) | (~b110(bitIndex2)) | v124(constB107, bitIndex2))),
% 135.28/85.94 inference(transitivity,[status(thm)],[10919, 10917])).
% 135.28/85.94 tff(10921,plain,
% 135.28/85.94 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB107)) | (~less_3(bitIndex2)) | v124(constB107, bitIndex2) | (~b110(bitIndex2)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(10922,plain,
% 135.28/85.94 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB107)) | (~b110(bitIndex2)) | v124(constB107, bitIndex2)),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[10921, 10920])).
% 135.28/85.94 tff(10923,plain,
% 135.28/85.94 (~v172(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10922, 2066, 1798, 767, 10915])).
% 135.28/85.94 tff(10924,plain,
% 135.28/85.94 (~v113(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8870, 10906, 6639])).
% 135.28/85.94 tff(10925,plain,
% 135.28/85.94 (v94(constB108) | (~v84(constB107, bitIndex2))),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[6645, 777, 767, 6567, 6639])).
% 135.28/85.94 tff(10926,plain,
% 135.28/85.94 (~v84(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10925, 6560])).
% 135.28/85.94 tff(10927,plain,
% 135.28/85.94 (v94(constB108) | (~v84(constB107, bitIndex1))),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[6813, 777, 823, 6567, 6807])).
% 135.28/85.94 tff(10928,plain,
% 135.28/85.94 (~v84(constB107, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10927, 6560])).
% 135.28/85.94 tff(10929,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[6700, 10928, 10926, 9927])).
% 135.28/85.94 tff(10930,plain,(v94(constB108) | v113(constB107) | v84(constB107, bitIndex0) | v84(constB108, bitIndex1) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(10931,plain,
% 135.28/85.94 (v94(constB108)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10930, 9927, 6665, 6807, 6639])).
% 135.28/85.94 tff(10932,plain,
% 135.28/85.94 ((~v94(constB108)) | (~v123(constB108, bitIndex0))),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9980, 1674, 795, 6767])).
% 135.28/85.94 tff(10933,plain,
% 135.28/85.94 (~v123(constB108, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10932, 10931])).
% 135.28/85.94 tff(10934,plain,
% 135.28/85.94 (~v121(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9988, 1708, 795, 6567, 10933])).
% 135.28/85.94 tff(10935,plain,
% 135.28/85.94 (~v124(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9999, 1728, 795, 6606, 10934])).
% 135.28/85.94 tff(10936,plain,
% 135.28/85.94 (~v115(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10010, 1148, 1193, 795, 10935])).
% 135.28/85.94 tff(10937,plain,
% 135.28/85.94 ((~v94(constB108)) | (~v123(constB108, bitIndex2))),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8849, 1674, 767, 6639])).
% 135.28/85.94 tff(10938,plain,
% 135.28/85.94 (~v123(constB108, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10937, 10931])).
% 135.28/85.94 tff(10939,plain,
% 135.28/85.94 (~v121(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8853, 1708, 767, 6567, 10938])).
% 135.28/85.94 tff(10940,plain,
% 135.28/85.94 (~v124(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8860, 1728, 767, 6606, 10939])).
% 135.28/85.94 tff(10941,plain,
% 135.28/85.94 (~v172(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10922, 2066, 1798, 767, 10940])).
% 135.28/85.94 tff(10942,plain,
% 135.28/85.94 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> (v84(VarCurr, bitIndex0) | (~v116(VarCurr))))),
% 135.28/85.94 inference(bind,[status(th)],[])).
% 135.28/85.94 tff(10943,plain,
% 135.28/85.94 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 135.28/85.94 inference(quant_intro,[status(thm)],[10942])).
% 135.28/85.94 tff(10944,plain,
% 135.28/85.94 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10945,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5_1_1_3')).
% 135.28/85.94 tff(10946,plain,
% 135.28/85.94 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[10945, 10944])).
% 135.28/85.94 tff(10947,plain,(
% 135.28/85.94 ![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 135.28/85.94 inference(skolemize,[status(sab)],[10946])).
% 135.28/85.94 tff(10948,plain,
% 135.28/85.94 (![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[10947, 10943])).
% 135.28/85.94 tff(10949,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB107, bitIndex0) | (~v116(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB107, bitIndex0) | (~v116(constB107)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10950,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB107, bitIndex0) | (~v116(constB107)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(10951,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB107, bitIndex0) | (~v116(constB107))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[10950, 10949])).
% 135.28/85.94 tff(10952,plain,
% 135.28/85.94 (~v116(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10951, 10948, 6665])).
% 135.28/85.94 tff(10953,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB107)) | v84(constB107, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB107)) | v84(constB107, bitIndex0))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10954,plain,
% 135.28/85.94 ((v84(constB107, bitIndex0) | (~v145(constB107))) <=> ((~v145(constB107)) | v84(constB107, bitIndex0))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10955,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB107, bitIndex0) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB107)) | v84(constB107, bitIndex0)))),
% 135.28/85.94 inference(monotonicity,[status(thm)],[10954])).
% 135.28/85.94 tff(10956,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB107, bitIndex0) | (~v145(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB107)) | v84(constB107, bitIndex0))),
% 135.28/85.94 inference(transitivity,[status(thm)],[10955, 10953])).
% 135.28/85.94 tff(10957,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB107, bitIndex0) | (~v145(constB107)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(10958,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB107)) | v84(constB107, bitIndex0)),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[10957, 10956])).
% 135.28/85.94 tff(10959,plain,
% 135.28/85.94 (~v145(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10958, 788, 6665])).
% 135.28/85.94 tff(10960,plain,
% 135.28/85.94 (v172(constB107) | v115(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10073, 1213, 1210, 795, 10959, 10912, 10952, 9927, 10935])).
% 135.28/85.94 tff(10961,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10960, 10941, 10936])).
% 135.28/85.94 tff(10962,plain,(v113(constB107) | v84(constB108, bitIndex2) | v84(constB108, bitIndex0) | v84(constB107, bitIndex0) | v84(constB108, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(10963,plain,
% 135.28/85.94 (v84(constB108, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10962, 6767, 10924, 6665, 6639])).
% 135.28/85.94 tff(10964,plain,
% 135.28/85.94 (v123(constB108, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10373, 1344, 823, 10906, 10963])).
% 135.28/85.94 tff(10965,plain,
% 135.28/85.94 (v121(constB107, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10379, 1362, 823, 6567, 10964])).
% 135.28/85.94 tff(10966,plain,
% 135.28/85.94 (v124(constB107, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10388, 1380, 823, 6606, 10965])).
% 135.28/85.94 tff(10967,plain,
% 135.28/85.94 (~v123(constB108, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9982, 6767, 10906])).
% 135.28/85.94 tff(10968,plain,
% 135.28/85.94 (~v121(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9990, 10967])).
% 135.28/85.94 tff(10969,plain,
% 135.28/85.94 (~v124(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10001, 10968])).
% 135.28/85.94 tff(10970,plain,
% 135.28/85.94 (~v115(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10012, 10969])).
% 135.28/85.94 tff(10971,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10405, 2601, 2424, 823, 10959, 10924, 10970, 10966, 10923, 10916, 10912])).
% 135.28/85.94 tff(10972,plain,(v84(constB108, bitIndex0) | v84(constB107, bitIndex0) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(10973,plain,
% 135.28/85.94 (v84(constB108, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10972, 10908, 6639])).
% 135.28/85.94 tff(10974,plain,
% 135.28/85.94 (v123(constB108, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10104, 10973, 10906])).
% 135.28/85.94 tff(10975,plain,
% 135.28/85.94 (~v113(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8870, 6639, 10906])).
% 135.28/85.94 tff(10976,plain,
% 135.28/85.94 (v172(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10138, 10908, 10975, 9531])).
% 135.28/85.94 tff(10977,plain,
% 135.28/85.94 (~v124(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10125, 10976])).
% 135.28/85.94 tff(10978,plain,
% 135.28/85.94 (~v121(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10116, 10977])).
% 135.28/85.94 tff(10979,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10110, 10978, 10974])).
% 135.28/85.94 tff(10980,plain,(v84(constB106, bitIndex1) | v84(constB108, bitIndex2) | v119(constB105) | (~v94(constB106))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(10981,plain,
% 135.28/85.94 (v84(constB106, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10980, 10905, 6639, 10904])).
% 135.28/85.94 tff(10982,plain,
% 135.28/85.94 (v123(constB106, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9869, 1344, 823, 10904, 10981])).
% 135.28/85.94 tff(10983,plain,
% 135.28/85.94 (v121(constB105, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9873, 1362, 823, 9339, 10982])).
% 135.28/85.94 tff(10984,plain,
% 135.28/85.94 (v124(constB105, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9880, 1380, 823, 9782, 10983])).
% 135.28/85.94 tff(10985,plain,
% 135.28/85.94 (~v116(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9887, 2167, 2164, 823, 10984])).
% 135.28/85.94 tff(10986,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10987,plain,
% 135.28/85.94 (((~v115(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(10988,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1)))),
% 135.28/85.94 inference(monotonicity,[status(thm)],[10987])).
% 135.28/85.94 tff(10989,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.94 inference(transitivity,[status(thm)],[10988, 10986])).
% 135.28/85.94 tff(10990,plain,
% 135.28/85.94 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB103)) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~b011(bitIndex1)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(10991,plain,
% 135.28/85.94 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB103)) | (~b011(bitIndex1)) | v124(constB103, bitIndex1)),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[10990, 10989])).
% 135.28/85.94 tff(10992,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10991, 3033, 1193, 823, 10804, 10887])).
% 135.28/85.94 tff(10993,plain,(v124(constB103, bitIndex1) | (~v115(constB103))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(10994,plain,
% 135.28/85.94 (v124(constB103, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10993, 10887])).
% 135.28/85.94 tff(10995,plain,
% 135.28/85.94 (v121(constB103, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9036, 1728, 823, 8945, 10994])).
% 135.28/85.94 tff(10996,plain,
% 135.28/85.94 (v123(constB104, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10793, 10995])).
% 135.28/85.94 tff(10997,plain,
% 135.28/85.94 (v84(constB104, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9025, 1674, 823, 8898, 10996])).
% 135.28/85.94 tff(10998,plain,
% 135.28/85.94 (v84(constB105, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8940, 10997])).
% 135.28/85.94 tff(10999,plain,
% 135.28/85.94 ((~v84(constB105, bitIndex1)) | (~v84(constB105, bitIndex0)) | v116(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9733, 1076, 10903])).
% 135.28/85.94 tff(11000,plain,
% 135.28/85.94 (~v84(constB105, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10999, 10998, 10985])).
% 135.28/85.94 tff(11001,plain,
% 135.28/85.94 (~v84(constB104, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9254, 11000])).
% 135.28/85.94 tff(11002,plain,
% 135.28/85.94 (~v121(constB103, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9246, 11001])).
% 135.28/85.94 tff(11003,plain,
% 135.28/85.94 (~v124(constB103, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8952, 1728, 795, 8945, 11002])).
% 135.28/85.94 tff(11004,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8959, 1148, 1193, 795, 10887, 11003])).
% 135.28/85.94 tff(11005,plain,((~v115(constB103)) | (~v94(constB104)) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11006,plain,
% 135.28/85.94 (~v115(constB103)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11005, 10811, 6639])).
% 135.28/85.94 tff(11007,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB103) | v115(constB103) | (~v111(constB103)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB103) | v115(constB103) | (~v111(constB103)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11008,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB103) | v115(constB103) | (~v111(constB103)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(11009,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB103) | v115(constB103) | (~v111(constB103))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[11008, 11007])).
% 135.28/85.94 tff(11010,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11009, 2911, 11006, 10886, 10848])).
% 135.28/85.94 tff(11011,plain,((~v145(constB105)) | v172(constB103) | v118(constB103) | v119(constB103) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11012,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11011, 10830, 10820, 10808, 9824, 6639])).
% 135.28/85.94 tff(11013,plain,((~v145(constB105)) | v119(constB103) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11014,plain,
% 135.28/85.94 (v84(constB108, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11013, 9824, 10808])).
% 135.28/85.94 tff(11015,plain,
% 135.28/85.94 (v123(constB108, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10506, 1344, 767, 6505, 6722])).
% 135.28/85.94 tff(11016,assumption,(v123(constB108, bitIndex2)), introduced(assumption)).
% 135.28/85.94 tff(11017,assumption,(~v121(constB107, bitIndex2)), introduced(assumption)).
% 135.28/85.94 tff(11018,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10510, 1362, 767, 6567, 11017, 11016])).
% 135.28/85.94 tff(11019,plain,((~v123(constB108, bitIndex2)) | v121(constB107, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11020,plain,
% 135.28/85.94 (v121(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11019, 11015])).
% 135.28/85.94 tff(11021,assumption,(~v124(constB107, bitIndex2)), introduced(assumption)).
% 135.28/85.94 tff(11022,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10517, 1380, 767, 6606, 11021, 11020])).
% 135.28/85.94 tff(11023,plain,(v124(constB107, bitIndex2) | (~v94(constB108)) | (~v84(constB108, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11024,plain,
% 135.28/85.94 (v124(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11023, 11014, 6505])).
% 135.28/85.94 tff(11025,plain,
% 135.28/85.94 (~v124(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10564, 11024])).
% 135.28/85.94 tff(11026,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10533, 1419, 1416, 767, 9928, 10519])).
% 135.28/85.94 tff(11027,plain,((~v124(constB107, bitIndex2)) | (~v145(constB107))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11028,plain,
% 135.28/85.94 (~v145(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11027, 11024])).
% 135.28/85.94 tff(11029,plain,
% 135.28/85.94 (~v121(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10116, 11025])).
% 135.28/85.94 tff(11030,plain,
% 135.28/85.94 (~v123(constB108, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10110, 11029])).
% 135.28/85.94 tff(11031,plain,
% 135.28/85.94 (~v84(constB108, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10104, 11030, 6505])).
% 135.28/85.94 tff(11032,plain,
% 135.28/85.94 (~v84(constB109, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10098, 11031])).
% 135.28/85.94 tff(11033,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB109)) | v84(constB109, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB109)) | v84(constB109, bitIndex0))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11034,plain,
% 135.28/85.94 ((v84(constB109, bitIndex0) | (~v145(constB109))) <=> ((~v145(constB109)) | v84(constB109, bitIndex0))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11035,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB109, bitIndex0) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB109)) | v84(constB109, bitIndex0)))),
% 135.28/85.94 inference(monotonicity,[status(thm)],[11034])).
% 135.28/85.94 tff(11036,plain,
% 135.28/85.94 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB109, bitIndex0) | (~v145(constB109)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB109)) | v84(constB109, bitIndex0))),
% 135.28/85.94 inference(transitivity,[status(thm)],[11035, 11033])).
% 135.28/85.94 tff(11037,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB109, bitIndex0) | (~v145(constB109)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(11038,plain,
% 135.28/85.94 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB109)) | v84(constB109, bitIndex0)),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[11037, 11036])).
% 135.28/85.94 tff(11039,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11038, 788, 10352, 6778])).
% 135.28/85.94 tff(11040,plain,((~v145(constB109)) | v84(constB109, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11041,plain,
% 135.28/85.94 (~v145(constB109)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11040, 11032])).
% 135.28/85.94 tff(11042,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9167, 805, 823, 8911, 8923, 9450, 9019])).
% 135.28/85.94 tff(11043,plain,((~v84(constB105, bitIndex1)) | v84(constB104, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11044,plain,
% 135.28/85.94 (~v84(constB105, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11043, 9019])).
% 135.28/85.94 tff(11045,plain,
% 135.28/85.94 (~v123(constB104, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10788, 9019, 8898])).
% 135.28/85.94 tff(11046,plain,
% 135.28/85.94 ((~v94(constB108)) | v123(constB108, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10506, 1344, 767, 6722])).
% 135.28/85.94 tff(11047,plain,
% 135.28/85.94 (v123(constB108, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11046, 6505])).
% 135.28/85.94 tff(11048,plain,
% 135.28/85.94 (v121(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10510, 1362, 767, 6567, 11047])).
% 135.28/85.94 tff(11049,plain,
% 135.28/85.94 (v84(constB109, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[6746, 6722])).
% 135.28/85.94 tff(11050,plain,
% 135.28/85.94 (v84(constB108, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10502, 6748])).
% 135.28/85.94 tff(11051,plain,
% 135.28/85.94 (v123(constB108, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10506, 1344, 767, 6505, 11050])).
% 135.28/85.94 tff(11052,plain,
% 135.28/85.94 (v121(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10510, 1362, 767, 6567, 11051])).
% 135.28/85.94 tff(11053,plain,
% 135.28/85.94 (v124(constB107, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10517, 1380, 767, 6606, 11052])).
% 135.28/85.94 tff(11054,plain,
% 135.28/85.94 (~v118(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10525, 2030, 2027, 767, 11053])).
% 135.28/85.94 tff(11055,plain,
% 135.28/85.94 (v84(constB109, bitIndex0) | v84(constB109, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10621, 1047, 6748, 10598])).
% 135.28/85.94 tff(11056,plain,
% 135.28/85.94 (v84(constB109, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11055, 6778])).
% 135.28/85.94 tff(11057,plain,
% 135.28/85.94 (v84(constB108, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10369, 11056])).
% 135.28/85.94 tff(11058,plain,
% 135.28/85.94 (v123(constB108, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10375, 11057, 6505])).
% 135.28/85.94 tff(11059,plain,
% 135.28/85.94 (v121(constB107, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10381, 11058])).
% 135.28/85.94 tff(11060,plain,
% 135.28/85.94 (v124(constB107, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10388, 1380, 823, 6606, 11059])).
% 135.28/85.94 tff(11061,plain,
% 135.28/85.94 (~v116(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10398, 11060])).
% 135.28/85.94 tff(11062,plain,
% 135.28/85.94 (~v145(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10533, 1419, 1416, 767, 11053])).
% 135.28/85.94 tff(11063,plain,
% 135.28/85.94 (~v115(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10540, 2030, 2257, 767, 11053])).
% 135.28/85.94 tff(11064,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB107)) | (~v124(constB107, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB107)) | (~v124(constB107, bitIndex1)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11065,plain,
% 135.28/85.94 (((~v113(constB107)) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB107)) | (~v124(constB107, bitIndex1)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11066,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB107)) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB107)) | (~v124(constB107, bitIndex1))))),
% 135.28/85.94 inference(monotonicity,[status(thm)],[11065])).
% 135.28/85.94 tff(11067,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB107)) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB107)) | (~v124(constB107, bitIndex1)))),
% 135.28/85.94 inference(transitivity,[status(thm)],[11066, 11064])).
% 135.28/85.94 tff(11068,plain,
% 135.28/85.94 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB107)) | (~less_3(bitIndex1)) | (~v124(constB107, bitIndex1)) | b100(bitIndex1))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(11069,plain,
% 135.28/85.94 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB107)) | (~v124(constB107, bitIndex1))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[11068, 11067])).
% 135.28/85.94 tff(11070,plain,
% 135.28/85.94 (~v113(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11069, 2167, 2186, 823, 11060])).
% 135.28/85.94 tff(11071,plain,
% 135.28/85.94 (v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v115(constB107) | v113(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10561, 2427, 2424, 767, 11053])).
% 135.28/85.94 tff(11072,plain,
% 135.28/85.94 (v172(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11071, 11070, 11063, 11062, 11061, 11054])).
% 135.28/85.94 tff(11073,plain,
% 135.28/85.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v172(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB107, bitIndex0)) | (~v172(constB107)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11074,plain,
% 135.28/85.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v172(constB107)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(11075,plain,
% 135.28/85.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB107, bitIndex0)) | (~v172(constB107))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[11074, 11073])).
% 135.28/85.94 tff(11076,plain,
% 135.28/85.94 (~v84(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11075, 7708, 11072])).
% 135.28/85.94 tff(11077,plain,
% 135.28/85.94 (~v84(constB106, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9537, 11076])).
% 135.28/85.94 tff(11078,plain,
% 135.28/85.94 (v84(constB104, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10776, 9262])).
% 135.28/85.94 tff(11079,plain,
% 135.28/85.94 (v84(constB105, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8928, 11078])).
% 135.28/85.94 tff(11080,plain,
% 135.28/85.94 (v84(constB104, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9330, 9262])).
% 135.28/85.94 tff(11081,plain,
% 135.28/85.94 (v84(constB105, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8940, 11080])).
% 135.28/85.94 tff(11082,plain,
% 135.28/85.94 (~v119(constB103)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9178, 1927, 9267])).
% 135.28/85.94 tff(11083,assumption,(v119(constB105)), introduced(assumption)).
% 135.28/85.94 tff(11084,plain,
% 135.28/85.94 (v84(constB105, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10289, 7833, 11083])).
% 135.28/85.94 tff(11085,plain,
% 135.28/85.94 (v84(constB104, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9564, 805, 767, 8911, 8923, 11084])).
% 135.28/85.94 tff(11086,plain,
% 135.28/85.94 (v84(constB103, bitIndex2)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9120, 805, 767, 8973, 9262, 11085])).
% 135.28/85.94 tff(11087,plain,
% 135.28/85.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB105)) | (~v84(constB105, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB105)) | (~v84(constB105, bitIndex0)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11088,plain,
% 135.28/85.94 (((~v84(constB105, bitIndex0)) | (~v119(constB105))) <=> ((~v119(constB105)) | (~v84(constB105, bitIndex0)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11089,plain,
% 135.28/85.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB105, bitIndex0)) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB105)) | (~v84(constB105, bitIndex0))))),
% 135.28/85.94 inference(monotonicity,[status(thm)],[11088])).
% 135.28/85.94 tff(11090,plain,
% 135.28/85.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB105, bitIndex0)) | (~v119(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB105)) | (~v84(constB105, bitIndex0)))),
% 135.28/85.94 inference(transitivity,[status(thm)],[11089, 11087])).
% 135.28/85.94 tff(11091,plain,
% 135.28/85.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB105, bitIndex0)) | (~v119(constB105)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(11092,plain,
% 135.28/85.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB105)) | (~v84(constB105, bitIndex0))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[11091, 11090])).
% 135.28/85.94 tff(11093,plain,
% 135.28/85.94 (~v84(constB105, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11092, 3173, 11083])).
% 135.28/85.94 tff(11094,plain,
% 135.28/85.94 (~v84(constB104, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9252, 777, 795, 8911, 8923, 11093])).
% 135.28/85.94 tff(11095,plain,
% 135.28/85.94 (~v84(constB103, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9105, 777, 795, 8973, 9262, 11094])).
% 135.28/85.94 tff(11096,plain,
% 135.28/85.94 (v84(constB105, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10303, 9858, 11083])).
% 135.28/85.94 tff(11097,plain,
% 135.28/85.94 (v84(constB104, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9167, 805, 823, 8911, 8923, 11096])).
% 135.28/85.94 tff(11098,plain,
% 135.28/85.94 (v84(constB103, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9174, 805, 823, 8973, 9262, 11097])).
% 135.28/85.94 tff(11099,plain,
% 135.28/85.94 (v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2))),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9185, 1910, 10808])).
% 135.28/85.94 tff(11100,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11099, 11098, 11095, 11086])).
% 135.28/85.94 tff(11101,plain,((~v119(constB105)) | v119(constB103) | v94(constB104)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11102,plain,
% 135.28/85.94 (~v119(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11101, 11082, 9262])).
% 135.28/85.94 tff(11103,plain,
% 135.28/85.94 (v84(constB105, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9254, 9276])).
% 135.28/85.94 tff(11104,plain,
% 135.28/85.94 (v94(constB106)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9416, 11103, 9407])).
% 135.28/85.94 tff(11105,plain,
% 135.28/85.94 (v104(constB106)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10220, 11104])).
% 135.28/85.94 tff(11106,plain,
% 135.28/85.94 (v102(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10228, 11105])).
% 135.28/85.94 tff(11107,plain,
% 135.28/85.94 ((~v102(constB105)) | v106(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10235, 3146, 9782])).
% 135.28/85.94 tff(11108,plain,
% 135.28/85.94 (v106(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11107, 11106])).
% 135.28/85.94 tff(11109,plain,
% 135.28/85.94 (v107(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10240, 3161, 11108])).
% 135.28/85.94 tff(11110,plain,
% 135.28/85.94 (v108(constB105) | v119(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10244, 3195, 11109])).
% 135.28/85.94 tff(11111,plain,
% 135.28/85.94 (v108(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11110, 11102])).
% 135.28/85.94 tff(11112,plain,
% 135.28/85.94 (~v113(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[8932, 1465, 9450])).
% 135.28/85.94 tff(11113,plain,
% 135.28/85.94 ((~v112(constB105)) | v113(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10182, 2894, 6519])).
% 135.28/85.94 tff(11114,plain,
% 135.28/85.94 (~v112(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11113, 11112])).
% 135.28/85.94 tff(11115,plain,
% 135.28/85.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB105, bitIndex0)) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB105, bitIndex0)) | (~v115(constB105)))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11116,plain,
% 135.28/85.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB105, bitIndex0)) | (~v115(constB105)))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(11117,plain,
% 135.28/85.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB105, bitIndex0)) | (~v115(constB105))),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[11116, 11115])).
% 135.28/85.94 tff(11118,plain,
% 135.28/85.94 (~v115(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11117, 3011, 9408])).
% 135.28/85.94 tff(11119,plain,
% 135.28/85.94 (~v111(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10279, 2911, 11118, 11114])).
% 135.28/85.94 tff(11120,plain,
% 135.28/85.94 (~v118(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9570, 2842, 9450])).
% 135.28/85.94 tff(11121,assumption,(v108(constB105)), introduced(assumption)).
% 135.28/85.94 tff(11122,plain,
% 135.28/85.94 (v109(constB105) | v118(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10249, 2856, 11121])).
% 135.28/85.94 tff(11123,plain,
% 135.28/85.94 (v109(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11122, 11120])).
% 135.28/85.94 tff(11124,plain,
% 135.28/85.94 (~v172(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9750, 2289, 9450])).
% 135.28/85.94 tff(11125,plain,
% 135.28/85.94 (v110(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10257, 2871, 11124, 11123])).
% 135.28/85.94 tff(11126,plain,
% 135.28/85.94 (~v116(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10309, 1130, 9561])).
% 135.28/85.94 tff(11127,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10268, 2932, 11126, 11125, 11119])).
% 135.28/85.94 tff(11128,plain,(v145(constB105) | (~v84(constB105, bitIndex2)) | (~v84(constB105, bitIndex0)) | (~v108(constB105)) | (~v84(constB105, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11129,plain,
% 135.28/85.94 (v145(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11128, 11079, 11103, 11111, 11081])).
% 135.28/85.94 tff(11130,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10296, 725, 11129, 11079])).
% 135.28/85.94 tff(11131,plain,(v94(constB104) | v84(constB106, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11132,plain,
% 135.28/85.94 (v94(constB104)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11131, 11077])).
% 135.28/85.94 tff(11133,plain,
% 135.28/85.94 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB104)) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB104)) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.94 tff(11134,plain,
% 135.28/85.94 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB104)) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1))),
% 135.28/85.94 inference(quant_inst,[status(thm)],[])).
% 135.28/85.94 tff(11135,plain,
% 135.28/85.94 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB104)) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1)),
% 135.28/85.94 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 135.28/85.94 tff(11136,plain,
% 135.28/85.94 ((~v94(constB104)) | (~v84(constB104, bitIndex1))),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 10791])).
% 135.28/85.94 tff(11137,plain,
% 135.28/85.94 (~v84(constB104, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11136, 11132])).
% 135.28/85.94 tff(11138,plain,
% 135.28/85.94 (~v113(constB105)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9260, 11132])).
% 135.28/85.94 tff(11139,plain,
% 135.28/85.94 (~v84(constB107, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9914, 2289, 11072])).
% 135.28/85.94 tff(11140,plain,
% 135.28/85.94 (~v84(constB106, bitIndex1)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9902, 11139])).
% 135.28/85.94 tff(11141,plain,
% 135.28/85.94 (v94(constB106)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[9717, 11140])).
% 135.28/85.94 tff(11142,assumption,(v172(constB105)), introduced(assumption)).
% 135.28/85.94 tff(11143,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10189, 1997, 1994, 795, 11142, 9778])).
% 135.28/85.94 tff(11144,plain,((~v124(constB105, bitIndex0)) | (~v172(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11145,plain,
% 135.28/85.94 (~v124(constB105, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11144, 11142])).
% 135.28/85.94 tff(11146,plain,
% 135.28/85.94 (~v121(constB105, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10161, 1380, 795, 9782, 11145])).
% 135.28/85.94 tff(11147,plain,
% 135.28/85.94 ($false),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10153, 1362, 795, 9339, 9777, 10311])).
% 135.28/85.94 tff(11148,plain,((~v123(constB106, bitIndex0)) | v121(constB105, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.94 tff(11149,plain,
% 135.28/85.94 (~v123(constB106, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[11148, 11146])).
% 135.28/85.94 tff(11150,plain,
% 135.28/85.94 (~v84(constB106, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10148, 1344, 795, 9801, 11149])).
% 135.28/85.94 tff(11151,plain,
% 135.28/85.94 (~v84(constB107, bitIndex0)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10144, 11150])).
% 135.28/85.94 tff(11152,plain,
% 135.28/85.94 (~v115(constB107)),
% 135.28/85.94 inference(unit_resolution,[status(thm)],[10012, 10003])).
% 135.28/85.94 tff(11153,assumption,(~v124(constB105, bitIndex1)), introduced(assumption)).
% 135.28/85.94 tff(11154,plain,
% 135.28/85.94 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB105)) | v124(constB105, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB105)) | v124(constB105, bitIndex1))),
% 135.28/85.94 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11155,plain,
% 135.28/85.95 (((~v172(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB105)) | v124(constB105, bitIndex1))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11156,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB105)) | v124(constB105, bitIndex1)))),
% 135.28/85.95 inference(monotonicity,[status(thm)],[11155])).
% 135.28/85.95 tff(11157,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB105)) | v124(constB105, bitIndex1))),
% 135.28/85.95 inference(transitivity,[status(thm)],[11156, 11154])).
% 135.28/85.95 tff(11158,plain,
% 135.28/85.95 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b110(bitIndex1)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11159,plain,
% 135.28/85.95 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB105)) | v124(constB105, bitIndex1)),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 135.28/85.95 tff(11160,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11159, 1801, 1798, 823, 11142, 11153])).
% 135.28/85.95 tff(11161,plain,(v124(constB105, bitIndex1) | (~v172(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11162,plain,
% 135.28/85.95 (v124(constB105, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11161, 11142])).
% 135.28/85.95 tff(11163,plain,
% 135.28/85.95 (v121(constB105, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10208, 1728, 823, 9782, 11162])).
% 135.28/85.95 tff(11164,plain,
% 135.28/85.95 (v123(constB106, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10326, 11163])).
% 135.28/85.95 tff(11165,plain,
% 135.28/85.95 (v84(constB106, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10321, 11164, 9801])).
% 135.28/85.95 tff(11166,plain,
% 135.28/85.95 (v84(constB107, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9902, 11165])).
% 135.28/85.95 tff(11167,plain,
% 135.28/85.95 (v119(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[6686, 11166, 11152, 11151])).
% 135.28/85.95 tff(11168,plain,
% 135.28/85.95 (v84(constB107, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9797, 7833, 11167])).
% 135.28/85.95 tff(11169,plain,
% 135.28/85.95 (~v145(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9682, 725, 11168])).
% 135.28/85.95 tff(11170,plain,
% 135.28/85.95 (~v172(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9914, 2289, 11166])).
% 135.28/85.95 tff(11171,plain,
% 135.28/85.95 (~v84(constB107, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10144, 9407])).
% 135.28/85.95 tff(11172,plain,
% 135.28/85.95 (~v116(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10951, 10948, 11171])).
% 135.28/85.95 tff(11173,plain,
% 135.28/85.95 (v113(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10074, 11172])).
% 135.28/85.95 tff(11174,plain,
% 135.28/85.95 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB107)) | (~v84(constB107, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB107)) | (~v84(constB107, bitIndex1)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11175,plain,
% 135.28/85.95 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB107)) | (~v84(constB107, bitIndex1)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11176,plain,
% 135.28/85.95 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB107)) | (~v84(constB107, bitIndex1))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 135.28/85.95 tff(11177,plain,
% 135.28/85.95 (~v84(constB107, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11176, 1465, 11173])).
% 135.28/85.95 tff(11178,plain,
% 135.28/85.95 (~v84(constB106, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9902, 11177])).
% 135.28/85.95 tff(11179,plain,
% 135.28/85.95 (v94(constB106)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9507, 9407])).
% 135.28/85.95 tff(11180,plain,
% 135.28/85.95 (~v123(constB106, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10196, 1674, 823, 11179, 11178])).
% 135.28/85.95 tff(11181,plain,
% 135.28/85.95 (~v121(constB105, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10326, 11180])).
% 135.28/85.95 tff(11182,plain,
% 135.28/85.95 (~v124(constB105, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10208, 1728, 823, 9782, 11181])).
% 135.28/85.95 tff(11183,plain,
% 135.28/85.95 (~v172(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11159, 1801, 1798, 823, 11182])).
% 135.28/85.95 tff(11184,plain,
% 135.28/85.95 (~v123(constB106, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9767, 1674, 795, 11179, 9407])).
% 135.28/85.95 tff(11185,plain,
% 135.28/85.95 (~v121(constB105, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9773, 1708, 795, 9339, 11184])).
% 135.28/85.95 tff(11186,plain,
% 135.28/85.95 (~v124(constB105, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9788, 1728, 795, 9782, 11185])).
% 135.28/85.95 tff(11187,plain,
% 135.28/85.95 (~v115(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9848, 1148, 1193, 795, 11186])).
% 135.28/85.95 tff(11188,plain,
% 135.28/85.95 (~v118(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10430, 1148, 1145, 795, 11186])).
% 135.28/85.95 tff(11189,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB105)) | v124(constB105, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB105)) | v124(constB105, bitIndex1))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11190,plain,
% 135.28/85.95 (((~v145(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB105)) | v124(constB105, bitIndex1))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11191,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB105)) | v124(constB105, bitIndex1)))),
% 135.28/85.95 inference(monotonicity,[status(thm)],[11190])).
% 135.28/85.95 tff(11192,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB105)) | v124(constB105, bitIndex1))),
% 135.28/85.95 inference(transitivity,[status(thm)],[11191, 11189])).
% 135.28/85.95 tff(11193,plain,
% 135.28/85.95 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB105)) | (~less_3(bitIndex1)) | v124(constB105, bitIndex1) | (~b010(bitIndex1)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11194,plain,
% 135.28/85.95 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB105)) | v124(constB105, bitIndex1)),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11193, 11192])).
% 135.28/85.95 tff(11195,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11194, 1821, 1818, 823, 9824, 11153])).
% 135.28/85.95 tff(11196,plain,(v124(constB105, bitIndex1) | (~v145(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11197,plain,
% 135.28/85.95 (~v145(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11196, 11182])).
% 135.28/85.95 tff(11198,plain,
% 135.28/85.95 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB107)) | (~v84(constB107, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB107)) | (~v84(constB107, bitIndex2)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11199,plain,
% 135.28/85.95 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB107)) | (~v84(constB107, bitIndex2)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11200,plain,
% 135.28/85.95 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB107)) | (~v84(constB107, bitIndex2))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11199, 11198])).
% 135.28/85.95 tff(11201,plain,
% 135.28/85.95 (~v84(constB107, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11200, 1119, 11173])).
% 135.28/85.95 tff(11202,plain,
% 135.28/85.95 (~v84(constB106, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9687, 777, 767, 9513, 9525, 11201])).
% 135.28/85.95 tff(11203,plain,
% 135.28/85.95 (~v123(constB106, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10444, 1674, 767, 11179, 11202])).
% 135.28/85.95 tff(11204,plain,
% 135.28/85.95 (~v121(constB105, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10449, 1708, 767, 9339, 11203])).
% 135.28/85.95 tff(11205,plain,
% 135.28/85.95 (~v124(constB105, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10456, 1728, 767, 9782, 11204])).
% 135.28/85.95 tff(11206,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB105)) | v124(constB105, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB105)) | v124(constB105, bitIndex2))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11207,plain,
% 135.28/85.95 (((~v116(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB105)) | v124(constB105, bitIndex2))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11208,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB105)) | v124(constB105, bitIndex2)))),
% 135.28/85.95 inference(monotonicity,[status(thm)],[11207])).
% 135.28/85.95 tff(11209,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB105)) | v124(constB105, bitIndex2))),
% 135.28/85.95 inference(transitivity,[status(thm)],[11208, 11206])).
% 135.28/85.95 tff(11210,plain,
% 135.28/85.95 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b100(bitIndex2)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11211,plain,
% 135.28/85.95 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB105)) | v124(constB105, bitIndex2)),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 135.28/85.95 tff(11212,plain,
% 135.28/85.95 (~v116(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11211, 1772, 1769, 767, 11205])).
% 135.28/85.95 tff(11213,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB105)) | v124(constB105, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB105)) | v124(constB105, bitIndex2))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11214,plain,
% 135.28/85.95 (((~v113(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB105)) | v124(constB105, bitIndex2))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11215,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB105)) | v124(constB105, bitIndex2)))),
% 135.28/85.95 inference(monotonicity,[status(thm)],[11214])).
% 135.28/85.95 tff(11216,plain,
% 135.28/85.95 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB105)) | v124(constB105, bitIndex2))),
% 135.28/85.95 inference(transitivity,[status(thm)],[11215, 11213])).
% 135.28/85.95 tff(11217,plain,
% 135.28/85.95 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB105)) | (~less_3(bitIndex2)) | v124(constB105, bitIndex2) | (~b100(bitIndex2)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11218,plain,
% 135.28/85.95 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB105)) | v124(constB105, bitIndex2)),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 135.28/85.95 tff(11219,plain,
% 135.28/85.95 (~v113(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11218, 1772, 1838, 767, 11205])).
% 135.28/85.95 tff(11220,plain,
% 135.28/85.95 (v145(constB105) | v118(constB105) | v172(constB105) | v116(constB105) | v115(constB105) | v113(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9841, 1213, 1210, 795, 11186])).
% 135.28/85.95 tff(11221,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11220, 11219, 11212, 11197, 11188, 11187, 11183])).
% 135.28/85.95 tff(11222,plain,(v84(constB106, bitIndex0) | v145(constB107) | v115(constB107) | v124(constB107, bitIndex0) | v172(constB107) | v118(constB107)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11223,plain,
% 135.28/85.95 (v118(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11222, 9407, 11152, 10003, 10067, 6785])).
% 135.28/85.95 tff(11224,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10911, 2642, 11171, 11223])).
% 135.28/85.95 tff(11225,plain,(v84(constB106, bitIndex0) | v124(constB107, bitIndex0) | v172(constB107) | v145(constB107)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11226,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11225, 11170, 11169, 10003, 11150])).
% 135.28/85.95 tff(11227,plain,((~v172(constB105)) | v124(constB107, bitIndex0) | (~v94(constB106))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11228,plain,
% 135.28/85.95 (~v172(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11227, 11141, 10002])).
% 135.28/85.95 tff(11229,plain,
% 135.28/85.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB107, bitIndex2) | (~v172(constB107)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB107, bitIndex2) | (~v172(constB107)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11230,plain,
% 135.28/85.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB107, bitIndex2) | (~v172(constB107)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11231,plain,
% 135.28/85.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB107, bitIndex2) | (~v172(constB107))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11230, 11229])).
% 135.28/85.95 tff(11232,plain,
% 135.28/85.95 (v84(constB107, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11231, 5263, 11072])).
% 135.28/85.95 tff(11233,plain,
% 135.28/85.95 (v84(constB106, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9547, 11232])).
% 135.28/85.95 tff(11234,plain,
% 135.28/85.95 (v123(constB106, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9806, 11141, 11233])).
% 135.28/85.95 tff(11235,plain,
% 135.28/85.95 (v121(constB105, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9814, 11234])).
% 135.28/85.95 tff(11236,plain,
% 135.28/85.95 (v124(constB105, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9821, 1380, 767, 9782, 11235])).
% 135.28/85.95 tff(11237,plain,
% 135.28/85.95 (~v145(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9832, 11236])).
% 135.28/85.95 tff(11238,plain,
% 135.28/85.95 (v84(constB105, bitIndex1) | v145(constB105) | v113(constB105) | v172(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9498, 9665])).
% 135.28/85.95 tff(11239,plain,
% 135.28/85.95 (v84(constB105, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11238, 11237, 11228, 11138])).
% 135.28/85.95 tff(11240,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9167, 805, 823, 8911, 8923, 11239, 11137])).
% 135.28/85.95 tff(11241,plain,(v84(constB109, bitIndex0) | v123(constB104, bitIndex1) | (~v94(constB108)) | (~v84(constB109, bitIndex2)) | v172(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11242,plain,
% 135.28/85.95 (v84(constB109, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11241, 6505, 11049, 10791, 10598])).
% 135.28/85.95 tff(11243,plain,
% 135.28/85.95 (v84(constB108, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10098, 11242])).
% 135.28/85.95 tff(11244,plain,
% 135.28/85.95 (v123(constB108, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10104, 11243, 6505])).
% 135.28/85.95 tff(11245,plain,
% 135.28/85.95 (v121(constB107, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10110, 11244])).
% 135.28/85.95 tff(11246,plain,
% 135.28/85.95 (v124(constB107, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10116, 11245])).
% 135.28/85.95 tff(11247,plain,
% 135.28/85.95 (~v124(constB107, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10564, 11246])).
% 135.28/85.95 tff(11248,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10517, 1380, 767, 6606, 11247, 11048])).
% 135.28/85.95 tff(11249,plain,((~v94(constB108)) | v123(constB104, bitIndex1) | v172(constB109) | (~v84(constB108, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11250,plain,
% 135.28/85.95 (~v94(constB108)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11249, 11045, 10598, 6722])).
% 135.28/85.95 tff(11251,plain,
% 135.28/85.95 (v84(constB108, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[6815, 11250])).
% 135.28/85.95 tff(11252,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB108, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB108, bitIndex1)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11253,plain,
% 135.28/85.95 (((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB108, bitIndex1)) | v84(constB107, bitIndex1)) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB108, bitIndex1)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11254,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB108, bitIndex1)) | v84(constB107, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB108, bitIndex1))))),
% 135.28/85.95 inference(monotonicity,[status(thm)],[11253])).
% 135.28/85.95 tff(11255,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB108, bitIndex1)) | v84(constB107, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB108, bitIndex1)))),
% 135.28/85.95 inference(transitivity,[status(thm)],[11254, 11252])).
% 135.28/85.95 tff(11256,plain,
% 135.28/85.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | (~v84(constB108, bitIndex1)) | v84(constB107, bitIndex1))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11257,plain,
% 135.28/85.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex1)) | v84(constB107, bitIndex1) | (~v84(constB108, bitIndex1))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 135.28/85.95 tff(11258,plain,
% 135.28/85.95 (v84(constB107, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11257, 805, 823, 6567, 11250, 11251])).
% 135.28/85.95 tff(11259,plain,
% 135.28/85.95 (v84(constB106, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9530, 11258])).
% 135.28/85.95 tff(11260,plain,
% 135.28/85.95 (v94(constB106) | v84(constB105, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9725, 805, 823, 9339, 11259])).
% 135.28/85.95 tff(11261,plain,
% 135.28/85.95 (v94(constB106)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11260, 11044])).
% 135.28/85.95 tff(11262,plain,
% 135.28/85.95 (v84(constB108, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[6775, 11250])).
% 135.28/85.95 tff(11263,plain,
% 135.28/85.95 (v84(constB109, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[6783, 11262])).
% 135.28/85.95 tff(11264,plain,
% 135.28/85.95 (v84(constB109, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[6823, 11251])).
% 135.28/85.95 tff(11265,plain,
% 135.28/85.95 (~v106(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[6898, 11264, 11049, 11263])).
% 135.28/85.95 tff(11266,plain,
% 135.28/85.95 (~v107(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8735, 11265])).
% 135.28/85.95 tff(11267,assumption,(~v107(constB109)), introduced(assumption)).
% 135.28/85.95 tff(11268,plain,
% 135.28/85.95 (~v108(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8739, 658, 11267])).
% 135.28/85.95 tff(11269,plain,
% 135.28/85.95 (~v109(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8743, 669, 11268])).
% 135.28/85.95 tff(11270,plain,
% 135.28/85.95 (~v110(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8747, 680, 11269])).
% 135.28/85.95 tff(11271,plain,
% 135.28/85.95 (~v111(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8755, 691, 11270])).
% 135.28/85.95 tff(11272,plain,
% 135.28/85.95 (~v112(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8759, 702, 11271])).
% 135.28/85.95 tff(11273,plain,
% 135.28/85.95 (~v113(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8768, 969, 11272])).
% 135.28/85.95 tff(11274,plain,
% 135.28/85.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB109) | (~v118(constB109)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB109) | (~v118(constB109)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11275,plain,
% 135.28/85.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB109) | (~v118(constB109)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11276,plain,
% 135.28/85.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB109) | (~v118(constB109))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11275, 11274])).
% 135.28/85.95 tff(11277,plain,
% 135.28/85.95 (~v118(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11276, 1004, 11268])).
% 135.28/85.95 tff(11278,plain,
% 135.28/85.95 (~v172(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10661, 1033, 11269])).
% 135.28/85.95 tff(11279,plain,
% 135.28/85.95 (v84(constB109, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8785, 6818, 8770, 8779])).
% 135.28/85.95 tff(11280,plain,
% 135.28/85.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109) | (~v84(constB109, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109) | (~v84(constB109, bitIndex0)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11281,plain,
% 135.28/85.95 (((~v84(constB109, bitIndex0)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109)) <=> (v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109) | (~v84(constB109, bitIndex0)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11282,plain,
% 135.28/85.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB109, bitIndex0)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109) | (~v84(constB109, bitIndex0))))),
% 135.28/85.95 inference(monotonicity,[status(thm)],[11281])).
% 135.28/85.95 tff(11283,plain,
% 135.28/85.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB109, bitIndex0)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109) | (~v84(constB109, bitIndex0)))),
% 135.28/85.95 inference(transitivity,[status(thm)],[11282, 11280])).
% 135.28/85.95 tff(11284,plain,
% 135.28/85.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB109, bitIndex0)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11285,plain,
% 135.28/85.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | v118(constB109) | (~v84(constB109, bitIndex0))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11284, 11283])).
% 135.28/85.95 tff(11286,plain,
% 135.28/85.95 (v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex0))),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11285, 1018, 10601])).
% 135.28/85.95 tff(11287,plain,
% 135.28/85.95 (~v84(constB109, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11286, 11279, 6818])).
% 135.28/85.95 tff(11288,plain,
% 135.28/85.95 (v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2))),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10621, 1047, 10598])).
% 135.28/85.95 tff(11289,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11288, 11287, 11279, 6818])).
% 135.28/85.95 tff(11290,plain,(v84(constB109, bitIndex1) | v172(constB109) | v118(constB109) | v145(constB109) | v113(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11291,plain,
% 135.28/85.95 (v84(constB109, bitIndex1)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11290, 11278, 11277, 8770, 11273])).
% 135.28/85.95 tff(11292,plain,
% 135.28/85.95 (~v119(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8793, 1927, 11267])).
% 135.28/85.95 tff(11293,plain,
% 135.28/85.95 (~v115(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8789, 945, 11271])).
% 135.28/85.95 tff(11294,plain,
% 135.28/85.95 (v84(constB109, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8810, 11291, 11293, 11292])).
% 135.28/85.95 tff(11295,plain,
% 135.28/85.95 (~v116(constB109)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8751, 934, 11270])).
% 135.28/85.95 tff(11296,plain,
% 135.28/85.95 ((~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0))),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[8817, 1076, 11295])).
% 135.28/85.95 tff(11297,plain,
% 135.28/85.95 (v84(constB109, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11296, 11294, 11291])).
% 135.28/85.95 tff(11298,plain,
% 135.28/85.95 (v84(constB108, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10500, 805, 767, 6729, 6741, 11297])).
% 135.28/85.95 tff(11299,plain,
% 135.28/85.95 (v84(constB108, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10096, 805, 795, 6729, 6741, 11294])).
% 135.28/85.95 tff(11300,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB108, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB108, bitIndex0)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11301,plain,
% 135.28/85.95 (((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB108, bitIndex0)) | v84(constB107, bitIndex0)) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB108, bitIndex0)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11302,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB108, bitIndex0)) | v84(constB107, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB108, bitIndex0))))),
% 135.28/85.95 inference(monotonicity,[status(thm)],[11301])).
% 135.28/85.95 tff(11303,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB108, bitIndex0)) | v84(constB107, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB108, bitIndex0)))),
% 135.28/85.95 inference(transitivity,[status(thm)],[11302, 11300])).
% 135.28/85.95 tff(11304,plain,
% 135.28/85.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | (~v84(constB108, bitIndex0)) | v84(constB107, bitIndex0))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11305,plain,
% 135.28/85.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex0)) | v84(constB107, bitIndex0) | (~v84(constB108, bitIndex0))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 135.28/85.95 tff(11306,plain,
% 135.28/85.95 (v94(constB108)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11305, 805, 795, 6567, 6665, 11299])).
% 135.28/85.95 tff(11307,plain,
% 135.28/85.95 (v123(constB108, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10506, 1344, 767, 11306, 11298])).
% 135.28/85.95 tff(11308,plain,
% 135.28/85.95 (v121(constB107, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10510, 1362, 767, 6567, 11307])).
% 135.28/85.95 tff(11309,plain,
% 135.28/85.95 (v124(constB107, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10517, 1380, 767, 6606, 11308])).
% 135.28/85.95 tff(11310,plain,
% 135.28/85.95 (v123(constB108, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10102, 1344, 795, 11306, 11299])).
% 135.28/85.95 tff(11311,plain,
% 135.28/85.95 (v121(constB107, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10108, 1362, 795, 6567, 11310])).
% 135.28/85.95 tff(11312,plain,
% 135.28/85.95 (v124(constB107, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10114, 1380, 795, 6606, 11311])).
% 135.28/85.95 tff(11313,plain,
% 135.28/85.95 (~v113(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10554, 2386, 2186, 795, 11312])).
% 135.28/85.95 tff(11314,plain,
% 135.28/85.95 (~v172(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10123, 1997, 1994, 795, 11312])).
% 135.28/85.95 tff(11315,plain,
% 135.28/85.95 (v115(constB107)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10561, 2427, 2424, 767, 10959, 11314, 10912, 10952, 11313, 11309])).
% 135.28/85.95 tff(11316,plain,
% 135.28/85.95 ($false),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10540, 2030, 2257, 767, 11315, 11309])).
% 135.28/85.95 tff(11317,plain,(v107(constB109) | v84(constB107, bitIndex0) | v145(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.95 tff(11318,plain,
% 135.28/85.95 (v84(constB107, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11317, 11266, 8770])).
% 135.28/85.95 tff(11319,plain,
% 135.28/85.95 (v84(constB106, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10144, 11318])).
% 135.28/85.95 tff(11320,plain,
% 135.28/85.95 ((~v94(constB106)) | v123(constB106, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10148, 1344, 795, 11319])).
% 135.28/85.95 tff(11321,plain,
% 135.28/85.95 (v123(constB106, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11320, 11261])).
% 135.28/85.95 tff(11322,plain,
% 135.28/85.95 (v121(constB105, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11148, 11321])).
% 135.28/85.95 tff(11323,plain,
% 135.28/85.95 (v124(constB105, bitIndex0)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[10161, 1380, 795, 9782, 11322])).
% 135.28/85.95 tff(11324,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB108, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB108, bitIndex2)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11325,plain,
% 135.28/85.95 (((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB108, bitIndex2)) | v84(constB107, bitIndex2)) <=> ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB108, bitIndex2)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11326,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB108, bitIndex2)) | v84(constB107, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB108, bitIndex2))))),
% 135.28/85.95 inference(monotonicity,[status(thm)],[11325])).
% 135.28/85.95 tff(11327,plain,
% 135.28/85.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB108, bitIndex2)) | v84(constB107, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB108, bitIndex2)))),
% 135.28/85.95 inference(transitivity,[status(thm)],[11326, 11324])).
% 135.28/85.95 tff(11328,plain,
% 135.28/85.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | (~v84(constB108, bitIndex2)) | v84(constB107, bitIndex2))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11329,plain,
% 135.28/85.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB107, constB108)) | v94(constB108) | (~less_3(bitIndex2)) | v84(constB107, bitIndex2) | (~v84(constB108, bitIndex2))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11328, 11327])).
% 135.28/85.95 tff(11330,plain,
% 135.28/85.95 (v94(constB108) | v84(constB107, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11329, 805, 767, 6567, 6722])).
% 135.28/85.95 tff(11331,plain,
% 135.28/85.95 (v84(constB107, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11330, 11250])).
% 135.28/85.95 tff(11332,plain,
% 135.28/85.95 (v84(constB106, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9547, 11331])).
% 135.28/85.95 tff(11333,plain,
% 135.28/85.95 (v123(constB106, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9806, 11261, 11332])).
% 135.28/85.95 tff(11334,plain,
% 135.28/85.95 (v121(constB105, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9814, 11333])).
% 135.28/85.95 tff(11335,plain,
% 135.28/85.95 (v124(constB105, bitIndex2)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9821, 1380, 767, 9782, 11334])).
% 135.28/85.95 tff(11336,plain,
% 135.28/85.95 (~v145(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[9832, 11335])).
% 135.28/85.95 tff(11337,plain,
% 135.28/85.95 (^[VarCurr: $i] : refl((v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> (v84(VarCurr, bitIndex1) | (~v115(VarCurr))))),
% 135.28/85.95 inference(bind,[status(th)],[])).
% 135.28/85.95 tff(11338,plain,
% 135.28/85.95 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 135.28/85.95 inference(quant_intro,[status(thm)],[11337])).
% 135.28/85.95 tff(11339,plain,
% 135.28/85.95 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr))) <=> ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11340,axiom,(![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4_1_1_2')).
% 135.28/85.95 tff(11341,plain,
% 135.28/85.95 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11340, 11339])).
% 135.28/85.95 tff(11342,plain,(
% 135.28/85.95 ![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 135.28/85.95 inference(skolemize,[status(sab)],[11341])).
% 135.28/85.95 tff(11343,plain,
% 135.28/85.95 (![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11342, 11338])).
% 135.28/85.95 tff(11344,plain,
% 135.28/85.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB105, bitIndex1) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB105, bitIndex1) | (~v115(constB105)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11345,plain,
% 135.28/85.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB105, bitIndex1) | (~v115(constB105)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11346,plain,
% 135.28/85.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB105, bitIndex1) | (~v115(constB105))),
% 135.28/85.95 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 135.28/85.95 tff(11347,plain,
% 135.28/85.95 (~v115(constB105)),
% 135.28/85.95 inference(unit_resolution,[status(thm)],[11346, 11343, 11044])).
% 135.28/85.95 tff(11348,plain,
% 135.28/85.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB105, bitIndex1) | (~v116(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB105, bitIndex1) | (~v116(constB105)))),
% 135.28/85.95 inference(rewrite,[status(thm)],[])).
% 135.28/85.95 tff(11349,plain,
% 135.28/85.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB105, bitIndex1) | (~v116(constB105)))),
% 135.28/85.95 inference(quant_inst,[status(thm)],[])).
% 135.28/85.95 tff(11350,plain,
% 135.28/85.96 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB105, bitIndex1) | (~v116(constB105))),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11349, 11348])).
% 135.28/85.96 tff(11351,plain,
% 135.28/85.96 (~v116(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11350, 1268, 11044])).
% 135.28/85.96 tff(11352,plain,
% 135.28/85.96 ((~v124(constB105, bitIndex2)) | v145(constB105) | v172(constB105) | v115(constB105) | v116(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10340, 9334])).
% 135.28/85.96 tff(11353,plain,
% 135.28/85.96 (v172(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11352, 11335, 11351, 11347, 11336])).
% 135.28/85.96 tff(11354,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11144, 11353, 11323])).
% 135.28/85.96 tff(11355,plain,(v84(constB104, bitIndex1) | v145(constB109) | (~v84(constB108, bitIndex2)) | v172(constB109) | (~v94(constB104))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11356,plain,
% 135.28/85.96 (v172(constB109)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11355, 10785, 10777, 11014, 11041])).
% 135.28/85.96 tff(11357,plain,
% 135.28/85.96 (~v84(constB109, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[6880, 2289, 11356])).
% 135.28/85.96 tff(11358,plain,
% 135.28/85.96 (~v84(constB108, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[6823, 11357])).
% 135.28/85.96 tff(11359,plain,
% 135.28/85.96 (~v123(constB108, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10024, 11358, 6505])).
% 135.28/85.96 tff(11360,plain,
% 135.28/85.96 (~v121(constB107, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10032, 11359])).
% 135.28/85.96 tff(11361,plain,
% 135.28/85.96 (~v124(constB107, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10043, 11360])).
% 135.28/85.96 tff(11362,plain,
% 135.28/85.96 (~v172(constB107)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10063, 11361])).
% 135.28/85.96 tff(11363,plain,
% 135.28/85.96 (v84(constB106, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11225, 11362, 11025, 11028])).
% 135.28/85.96 tff(11364,plain,
% 135.28/85.96 (v104(constB108)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[8875, 6505])).
% 135.28/85.96 tff(11365,plain,
% 135.28/85.96 (v102(constB107)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[8883, 11364])).
% 135.28/85.96 tff(11366,plain,
% 135.28/85.96 (v106(constB107)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[8891, 11365])).
% 135.28/85.96 tff(11367,plain,
% 135.28/85.96 (v107(constB107)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[8895, 3161, 11366])).
% 135.28/85.96 tff(11368,plain,
% 135.28/85.96 (v113(constB107)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9960, 9336, 9891])).
% 135.28/85.96 tff(11369,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11176, 1465, 11368, 9903])).
% 135.28/85.96 tff(11370,plain,(v94(constB106) | (~v107(constB107))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11371,plain,
% 135.28/85.96 (v94(constB106)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11370, 11367])).
% 135.28/85.96 tff(11372,plain,
% 135.28/85.96 (~v119(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10289, 7833, 10773])).
% 135.28/85.96 tff(11373,plain,
% 135.28/85.96 (v84(constB106, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10282, 11363, 11371, 11372])).
% 135.28/85.96 tff(11374,plain,
% 135.28/85.96 (v121(constB105, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11148, 10150])).
% 135.28/85.96 tff(11375,plain,
% 135.28/85.96 (v124(constB105, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10161, 1380, 795, 9782, 11374])).
% 135.28/85.96 tff(11376,plain,
% 135.28/85.96 (~v116(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10264, 2386, 2164, 795, 11375])).
% 135.28/85.96 tff(11377,plain,
% 135.28/85.96 (v123(constB106, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9806, 9801, 9684])).
% 135.28/85.96 tff(11378,plain,
% 135.28/85.96 (v121(constB105, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9814, 11377])).
% 135.28/85.96 tff(11379,plain,
% 135.28/85.96 (v124(constB105, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9821, 1380, 767, 9782, 11378])).
% 135.28/85.96 tff(11380,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB105)) | (~v124(constB105, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB105)) | (~v124(constB105, bitIndex2)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11381,plain,
% 135.28/85.96 (((~v115(constB105)) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB105)) | (~v124(constB105, bitIndex2)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11382,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB105)) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB105)) | (~v124(constB105, bitIndex2))))),
% 135.28/85.96 inference(monotonicity,[status(thm)],[11381])).
% 135.28/85.96 tff(11383,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB105)) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB105)) | (~v124(constB105, bitIndex2)))),
% 135.28/85.96 inference(transitivity,[status(thm)],[11382, 11380])).
% 135.28/85.96 tff(11384,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB105)) | (~less_3(bitIndex2)) | (~v124(constB105, bitIndex2)) | b011(bitIndex2))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11385,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB105)) | (~v124(constB105, bitIndex2))),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 135.28/85.96 tff(11386,plain,
% 135.28/85.96 (~v115(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11385, 2030, 2257, 767, 11379])).
% 135.28/85.96 tff(11387,plain,
% 135.28/85.96 (~v172(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11227, 9801, 10003])).
% 135.28/85.96 tff(11388,plain,
% 135.28/85.96 (~v145(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9832, 11379])).
% 135.28/85.96 tff(11389,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10470, 2601, 2424, 823, 11388, 9335, 11387, 9665, 11386, 10418, 11376])).
% 135.28/85.96 tff(11390,plain,((~v94(constB106)) | v113(constB105) | (~v84(constB106, bitIndex1)) | (~v84(constB106, bitIndex0)) | (~v84(constB106, bitIndex2)) | v124(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11391,plain,
% 135.28/85.96 ((~v94(constB106)) | (~v84(constB106, bitIndex1)) | (~v84(constB106, bitIndex0)) | (~v84(constB106, bitIndex2)) | v124(constB107, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11390, 9334])).
% 135.28/85.96 tff(11392,plain,
% 135.28/85.96 (~v84(constB106, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11391, 11373, 11371, 11363, 11025])).
% 135.28/85.96 tff(11393,plain,
% 135.28/85.96 (~v172(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9017, 2066, 1798, 767, 10802])).
% 135.28/85.96 tff(11394,plain,
% 135.28/85.96 (~v84(constB107, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9547, 9542])).
% 135.28/85.96 tff(11395,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11231, 5263, 6786, 10055])).
% 135.28/85.96 tff(11396,plain,((~v172(constB107)) | v84(constB107, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11397,plain,
% 135.28/85.96 (~v172(constB107)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11396, 11394])).
% 135.28/85.96 tff(11398,assumption,(~v113(constB103)), introduced(assumption)).
% 135.28/85.96 tff(11399,plain,
% 135.28/85.96 (v84(constB106, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9742, 9718, 9336])).
% 135.28/85.96 tff(11400,plain,
% 135.28/85.96 (~v113(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9260, 8898])).
% 135.28/85.96 tff(11401,plain,
% 135.28/85.96 (~v94(constB106)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11390, 11400, 9719, 9532, 9684, 10003])).
% 135.28/85.96 tff(11402,plain,
% 135.28/85.96 (v94(constB106) | v84(constB105, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9554, 805, 767, 9339, 9684])).
% 135.28/85.96 tff(11403,plain,
% 135.28/85.96 (v84(constB105, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11402, 11401])).
% 135.28/85.96 tff(11404,plain,
% 135.28/85.96 (v84(constB104, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9566, 11403])).
% 135.28/85.96 tff(11405,plain,
% 135.28/85.96 (v123(constB104, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9576, 1344, 767, 8898, 11404])).
% 135.28/85.96 tff(11406,plain,
% 135.28/85.96 (v121(constB103, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10898, 11405])).
% 135.28/85.96 tff(11407,plain,
% 135.28/85.96 (v124(constB103, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9587, 1380, 767, 8945, 11406])).
% 135.28/85.96 tff(11408,plain,
% 135.28/85.96 (~v115(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10890, 11407])).
% 135.28/85.96 tff(11409,plain,
% 135.28/85.96 (v84(constB105, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9699, 11401])).
% 135.28/85.96 tff(11410,plain,
% 135.28/85.96 (v84(constB104, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9602, 805, 795, 8911, 8923, 11409])).
% 135.28/85.96 tff(11411,plain,
% 135.28/85.96 (v123(constB104, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9606, 1344, 795, 8898, 11410])).
% 135.28/85.96 tff(11412,plain,
% 135.28/85.96 (v121(constB103, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9610, 1362, 795, 8973, 11411])).
% 135.28/85.96 tff(11413,plain,
% 135.28/85.96 (v124(constB103, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 11412])).
% 135.28/85.96 tff(11414,plain,
% 135.28/85.96 (~v116(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9624, 2386, 2164, 795, 11413])).
% 135.28/85.96 tff(11415,plain,
% 135.28/85.96 (v84(constB105, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9726, 11401])).
% 135.28/85.96 tff(11416,plain,
% 135.28/85.96 (v84(constB104, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9167, 805, 823, 8911, 8923, 11415])).
% 135.28/85.96 tff(11417,plain,
% 135.28/85.96 (v123(constB104, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 8898, 11416])).
% 135.28/85.96 tff(11418,plain,
% 135.28/85.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex1)) | (~v123(constB104, bitIndex1)) | v121(constB103, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex1)) | (~v123(constB104, bitIndex1)) | v121(constB103, bitIndex1))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11419,plain,
% 135.28/85.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB103, constB104)) | (~less_3(bitIndex1)) | (~v123(constB104, bitIndex1)) | v121(constB103, bitIndex1))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11420,plain,
% 135.28/85.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB103, constB104)) | (~less_3(bitIndex1)) | (~v123(constB104, bitIndex1)) | v121(constB103, bitIndex1)),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11419, 11418])).
% 135.28/85.96 tff(11421,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11420, 1362, 823, 8973, 10795, 10786])).
% 135.28/85.96 tff(11422,plain,((~v123(constB104, bitIndex1)) | v121(constB103, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11423,plain,
% 135.28/85.96 (v121(constB103, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11422, 11417])).
% 135.28/85.96 tff(11424,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex1)) | (~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex1)) | (~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11425,plain,
% 135.28/85.96 ((v26(constB103) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1))) <=> (v26(constB103) | (~less_3(bitIndex1)) | (~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11426,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex1)) | (~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1)))),
% 135.28/85.96 inference(monotonicity,[status(thm)],[11425])).
% 135.28/85.96 tff(11427,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex1)) | (~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1))),
% 135.28/85.96 inference(transitivity,[status(thm)],[11426, 11424])).
% 135.28/85.96 tff(11428,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB103) | (~less_3(bitIndex1)) | v124(constB103, bitIndex1) | (~v121(constB103, bitIndex1)))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11429,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB103) | (~less_3(bitIndex1)) | (~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1)),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 135.28/85.96 tff(11430,plain,
% 135.28/85.96 (v124(constB103, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 11423])).
% 135.28/85.96 tff(11431,plain,
% 135.28/85.96 (~v172(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10819, 1997, 1994, 795, 11413])).
% 135.28/85.96 tff(11432,plain,
% 135.28/85.96 (~v145(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10840, 2299, 1416, 795, 11413])).
% 135.28/85.96 tff(11433,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex1)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11434,plain,
% 135.28/85.96 ((v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex1)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11435,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex1))))),
% 135.28/85.96 inference(monotonicity,[status(thm)],[11434])).
% 135.28/85.96 tff(11436,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex1)))),
% 135.28/85.96 inference(transitivity,[status(thm)],[11435, 11433])).
% 135.28/85.96 tff(11437,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB103) | v145(constB103) | v115(constB103) | v116(constB103) | v172(constB103) | v118(constB103) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b001(bitIndex1))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11438,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB103) | v172(constB103) | v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103) | (~v124(constB103, bitIndex1))),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11437, 11436])).
% 135.28/85.96 tff(11439,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11438, 2601, 2424, 823, 11432, 11398, 11431, 9315, 11430, 11414, 11408])).
% 135.28/85.96 tff(11440,plain,((~v94(constB104)) | v113(constB103) | v118(constB103) | (~v84(constB106, bitIndex2)) | (~v84(constB106, bitIndex1)) | (~v84(constB106, bitIndex0)) | v124(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11441,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11440, 11399, 9718, 9315, 8898, 11398, 9508, 10003])).
% 135.28/85.96 tff(11442,plain,(v94(constB106) | v118(constB103) | (~v94(constB104)) | v113(constB103) | v124(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11443,plain,
% 135.28/85.96 (v94(constB106)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11442, 10003, 8898, 11398, 9315])).
% 135.28/85.96 tff(11444,plain,
% 135.28/85.96 (~v172(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11227, 11443, 10003])).
% 135.28/85.96 tff(11445,assumption,(~v145(constB103)), introduced(assumption)).
% 135.28/85.96 tff(11446,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10444, 1674, 767, 9801, 9542, 9808])).
% 135.28/85.96 tff(11447,plain,(v84(constB106, bitIndex2) | (~v94(constB106)) | (~v123(constB106, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11448,plain,
% 135.28/85.96 (~v123(constB106, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11447, 9542, 11443])).
% 135.28/85.96 tff(11449,assumption,(v121(constB105, bitIndex2)), introduced(assumption)).
% 135.28/85.96 tff(11450,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10449, 1708, 767, 9339, 9800, 11449])).
% 135.28/85.96 tff(11451,plain,(v123(constB106, bitIndex2) | (~v121(constB105, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11452,plain,
% 135.28/85.96 (~v121(constB105, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11451, 11448])).
% 135.28/85.96 tff(11453,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10456, 1728, 767, 9782, 9823, 9809])).
% 135.28/85.96 tff(11454,plain,(v121(constB105, bitIndex2) | (~v124(constB105, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11455,plain,
% 135.28/85.96 (~v124(constB105, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11454, 11452])).
% 135.28/85.96 tff(11456,plain,
% 135.28/85.96 (~v145(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11196, 10328])).
% 135.28/85.96 tff(11457,assumption,(~v124(constB105, bitIndex2)), introduced(assumption)).
% 135.28/85.96 tff(11458,plain,
% 135.28/85.96 (~v116(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11211, 1772, 1769, 767, 11457])).
% 135.28/85.96 tff(11459,plain,
% 135.28/85.96 (~v113(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11218, 1772, 1838, 767, 11457])).
% 135.28/85.96 tff(11460,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9850, 11459, 11458, 9834, 9468, 6519])).
% 135.28/85.96 tff(11461,plain,(v124(constB105, bitIndex2) | v124(constB105, bitIndex0) | v172(constB105) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11462,plain,
% 135.28/85.96 (v124(constB105, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11461, 11456, 11457, 9468])).
% 135.28/85.96 tff(11463,plain,
% 135.28/85.96 (v121(constB105, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9790, 11462])).
% 135.28/85.96 tff(11464,plain,
% 135.28/85.96 (v123(constB106, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9775, 11463])).
% 135.28/85.96 tff(11465,plain,
% 135.28/85.96 (v145(constB107)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10346, 11464, 11458, 9509, 9468, 11456])).
% 135.28/85.96 tff(11466,plain,
% 135.28/85.96 (v84(constB107, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10958, 788, 11465])).
% 135.28/85.96 tff(11467,plain,
% 135.28/85.96 (v84(constB106, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10144, 11466])).
% 135.28/85.96 tff(11468,plain,
% 135.28/85.96 (v119(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10282, 11467, 9801, 9509])).
% 135.28/85.96 tff(11469,plain,
% 135.28/85.96 (v84(constB105, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10289, 7833, 11468])).
% 135.28/85.96 tff(11470,plain,
% 135.28/85.96 (v84(constB104, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9566, 11469])).
% 135.28/85.96 tff(11471,plain,
% 135.28/85.96 (v123(constB104, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9576, 1344, 767, 8898, 11470])).
% 135.28/85.96 tff(11472,plain,
% 135.28/85.96 (v121(constB103, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10898, 11471])).
% 135.28/85.96 tff(11473,plain,
% 135.28/85.96 (v124(constB103, bitIndex2)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9587, 1380, 767, 8945, 11472])).
% 135.28/85.96 tff(11474,plain,
% 135.28/85.96 (v84(constB105, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11238, 11456, 9468, 11400])).
% 135.28/85.96 tff(11475,plain,
% 135.28/85.96 (v84(constB104, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9167, 805, 823, 8911, 8923, 11474])).
% 135.28/85.96 tff(11476,plain,
% 135.28/85.96 (v123(constB104, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 8898, 11475])).
% 135.28/85.96 tff(11477,plain,
% 135.28/85.96 (v121(constB103, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11422, 11476])).
% 135.28/85.96 tff(11478,plain,
% 135.28/85.96 (v124(constB103, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 11477])).
% 135.28/85.96 tff(11479,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB103)) | (~v124(constB103, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB103)) | (~v124(constB103, bitIndex1)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11480,plain,
% 135.28/85.96 (((~v116(constB103)) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB103)) | (~v124(constB103, bitIndex1)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11481,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB103)) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB103)) | (~v124(constB103, bitIndex1))))),
% 135.28/85.96 inference(monotonicity,[status(thm)],[11480])).
% 135.28/85.96 tff(11482,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB103)) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB103)) | (~v124(constB103, bitIndex1)))),
% 135.28/85.96 inference(transitivity,[status(thm)],[11481, 11479])).
% 135.28/85.96 tff(11483,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB103)) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b100(bitIndex1))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11484,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB103)) | (~v124(constB103, bitIndex1))),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11483, 11482])).
% 135.28/85.96 tff(11485,plain,
% 135.28/85.96 (~v116(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11484, 2167, 2164, 823, 11478])).
% 135.28/85.96 tff(11486,assumption,(~v115(constB103)), introduced(assumption)).
% 135.28/85.96 tff(11487,assumption,(~v116(constB103)), introduced(assumption)).
% 135.28/85.96 tff(11488,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11438, 2601, 2424, 823, 11445, 11398, 9324, 9315, 11487, 11486, 10796])).
% 135.28/85.96 tff(11489,plain,((~v124(constB103, bitIndex1)) | v145(constB103) | v113(constB103) | v172(constB103) | v118(constB103) | v116(constB103) | v115(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11490,plain,
% 135.28/85.96 (v115(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11489, 11485, 11398, 9324, 9315, 11445, 11478])).
% 135.28/85.96 tff(11491,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10890, 11490, 11473])).
% 135.28/85.96 tff(11492,plain,(v84(constB106, bitIndex1) | v113(constB103) | v172(constB103) | v118(constB103) | v145(constB103) | (~v94(constB104)) | (~v94(constB106)) | v172(constB105) | v124(constB105, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11493,plain,
% 135.28/85.96 (v84(constB106, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11492, 11455, 9324, 9315, 11445, 8898, 11443, 11444, 11398])).
% 135.28/85.96 tff(11494,plain,
% 135.28/85.96 (v84(constB107, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9902, 11493])).
% 135.28/85.96 tff(11495,plain,
% 135.28/85.96 (~v145(constB107)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9936, 11494])).
% 135.28/85.96 tff(11496,plain,
% 135.28/85.96 (v84(constB106, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11225, 11495, 10003, 11397])).
% 135.28/85.96 tff(11497,plain,
% 135.28/85.96 (v123(constB106, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10148, 1344, 795, 11443, 11496])).
% 135.28/85.96 tff(11498,plain,
% 135.28/85.96 (v121(constB105, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11148, 11497])).
% 135.28/85.96 tff(11499,plain,
% 135.28/85.96 (v124(constB105, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10161, 1380, 795, 9782, 11498])).
% 135.28/85.96 tff(11500,plain,
% 135.28/85.96 (~v145(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10175, 2299, 1416, 795, 11499])).
% 135.28/85.96 tff(11501,plain,
% 135.28/85.96 (~v116(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11211, 1772, 1769, 767, 11455])).
% 135.28/85.96 tff(11502,plain,
% 135.28/85.96 (v123(constB106, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9869, 1344, 823, 11443, 11493])).
% 135.28/85.96 tff(11503,plain,
% 135.28/85.96 (v121(constB105, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9873, 1362, 823, 9339, 11502])).
% 135.28/85.96 tff(11504,plain,
% 135.28/85.96 (v124(constB105, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9880, 1380, 823, 9782, 11503])).
% 135.28/85.96 tff(11505,plain,
% 135.28/85.96 (v145(constB105) | v115(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10470, 2601, 2424, 823, 11400, 11444, 9665, 11504, 11501])).
% 135.28/85.96 tff(11506,plain,
% 135.28/85.96 (v115(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11505, 11500])).
% 135.28/85.96 tff(11507,plain,
% 135.28/85.96 (~v84(constB105, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11117, 3011, 11506])).
% 135.28/85.96 tff(11508,plain,
% 135.28/85.96 (~v84(constB104, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9254, 11507])).
% 135.28/85.96 tff(11509,plain,
% 135.28/85.96 (~v121(constB103, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9246, 11508])).
% 135.28/85.96 tff(11510,plain,
% 135.28/85.96 (~v124(constB103, bitIndex0)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[8952, 1728, 795, 8945, 11509])).
% 135.28/85.96 tff(11511,plain,
% 135.28/85.96 (v84(constB105, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11238, 11500, 11444, 11400])).
% 135.28/85.96 tff(11512,plain,
% 135.28/85.96 (v84(constB104, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[9167, 805, 823, 8911, 8923, 11511])).
% 135.28/85.96 tff(11513,plain,
% 135.28/85.96 (v123(constB104, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 8898, 11512])).
% 135.28/85.96 tff(11514,plain,
% 135.28/85.96 (v121(constB103, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11422, 11513])).
% 135.28/85.96 tff(11515,plain,
% 135.28/85.96 (v124(constB103, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 11514])).
% 135.28/85.96 tff(11516,plain,
% 135.28/85.96 (~v116(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11484, 2167, 2164, 823, 11515])).
% 135.28/85.96 tff(11517,plain,
% 135.28/85.96 (v115(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11489, 11516, 11398, 9324, 9315, 11445, 11515])).
% 135.28/85.96 tff(11518,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[8959, 1148, 1193, 795, 11517, 11510])).
% 135.28/85.96 tff(11519,plain,(v84(constB106, bitIndex2) | v113(constB103) | v172(constB103) | v118(constB103) | v145(constB103) | (~v94(constB104)) | v124(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11520,plain,
% 135.28/85.96 (v118(constB103)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11519, 11393, 11025, 11392, 10807, 10777, 10803])).
% 135.28/85.96 tff(11521,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[10829, 3033, 1145, 823, 11520, 10799])).
% 135.28/85.96 tff(11522,plain,((~v145(constB105)) | (~v94(constB108)) | v119(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11523,plain,
% 135.28/85.96 (~v145(constB105)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11522, 10770, 6505])).
% 135.28/85.96 tff(11524,plain,
% 135.28/85.96 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB115, bitIndex1) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB115, bitIndex1) | (~v116(constB115)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11525,plain,
% 135.28/85.96 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB115, bitIndex1) | (~v116(constB115)))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11526,plain,
% 135.28/85.96 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB115, bitIndex1) | (~v116(constB115))),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11525, 11524])).
% 135.28/85.96 tff(11527,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11526, 1268, 7667, 7689])).
% 135.28/85.96 tff(11528,plain,((~v116(constB115)) | v84(constB115, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11529,plain,
% 135.28/85.96 (~v116(constB115)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11528, 7667])).
% 135.28/85.96 tff(11530,plain,
% 135.28/85.96 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v84(constB116, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v84(constB116, bitIndex1))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11531,plain,
% 135.28/85.96 (((~less_3(bitIndex1)) | (~v94(constB116)) | v84(constB116, bitIndex1) | (~v123(constB116, bitIndex1))) <=> ((~v94(constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v84(constB116, bitIndex1))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11532,plain,
% 135.28/85.96 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB116)) | v84(constB116, bitIndex1) | (~v123(constB116, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v84(constB116, bitIndex1)))),
% 135.28/85.96 inference(monotonicity,[status(thm)],[11531])).
% 135.28/85.96 tff(11533,plain,
% 135.28/85.96 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB116)) | v84(constB116, bitIndex1) | (~v123(constB116, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v84(constB116, bitIndex1))),
% 135.28/85.96 inference(transitivity,[status(thm)],[11532, 11530])).
% 135.28/85.96 tff(11534,plain,
% 135.28/85.96 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB116)) | v84(constB116, bitIndex1) | (~v123(constB116, bitIndex1)))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11535,plain,
% 135.28/85.96 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v84(constB116, bitIndex1)),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11534, 11533])).
% 135.28/85.96 tff(11536,plain,
% 135.28/85.96 ((~v94(constB116)) | (~v123(constB116, bitIndex1))),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11535, 1674, 823, 7908])).
% 135.28/85.96 tff(11537,plain,
% 135.28/85.96 (~v123(constB116, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11536, 7969])).
% 135.28/85.96 tff(11538,assumption,(~v123(constB116, bitIndex1)), introduced(assumption)).
% 135.28/85.96 tff(11539,assumption,(v121(constB115, bitIndex1)), introduced(assumption)).
% 135.28/85.96 tff(11540,plain,
% 135.28/85.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex1)) | v123(constB116, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex1)) | v123(constB116, bitIndex1) | (~v121(constB115, bitIndex1)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11541,plain,
% 135.28/85.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex1)) | v123(constB116, bitIndex1) | (~v121(constB115, bitIndex1)))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11542,plain,
% 135.28/85.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex1)) | v123(constB116, bitIndex1) | (~v121(constB115, bitIndex1))),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11541, 11540])).
% 135.28/85.96 tff(11543,plain,
% 135.28/85.96 ($false),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11542, 1708, 823, 7777, 11539, 11538])).
% 135.28/85.96 tff(11544,plain,(v123(constB116, bitIndex1) | (~v121(constB115, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.96 tff(11545,plain,
% 135.28/85.96 (~v121(constB115, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11544, 11537])).
% 135.28/85.96 tff(11546,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex1)) | v121(constB115, bitIndex1) | (~v124(constB115, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex1)) | v121(constB115, bitIndex1) | (~v124(constB115, bitIndex1)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11547,plain,
% 135.28/85.96 ((v26(constB115) | v121(constB115, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1))) <=> (v26(constB115) | (~less_3(bitIndex1)) | v121(constB115, bitIndex1) | (~v124(constB115, bitIndex1)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11548,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex1)) | v121(constB115, bitIndex1) | (~v124(constB115, bitIndex1))))),
% 135.28/85.96 inference(monotonicity,[status(thm)],[11547])).
% 135.28/85.96 tff(11549,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex1)) | v121(constB115, bitIndex1) | (~v124(constB115, bitIndex1)))),
% 135.28/85.96 inference(transitivity,[status(thm)],[11548, 11546])).
% 135.28/85.96 tff(11550,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB115) | v121(constB115, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)))),
% 135.28/85.96 inference(quant_inst,[status(thm)],[])).
% 135.28/85.96 tff(11551,plain,
% 135.28/85.96 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex1)) | v121(constB115, bitIndex1) | (~v124(constB115, bitIndex1))),
% 135.28/85.96 inference(modus_ponens,[status(thm)],[11550, 11549])).
% 135.28/85.96 tff(11552,plain,
% 135.28/85.96 (~v124(constB115, bitIndex1)),
% 135.28/85.96 inference(unit_resolution,[status(thm)],[11551, 1728, 823, 7803, 11545])).
% 135.28/85.96 tff(11553,plain,
% 135.28/85.96 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v115(constB115)) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v115(constB115)) | (~b011(bitIndex1)))),
% 135.28/85.96 inference(rewrite,[status(thm)],[])).
% 135.28/85.96 tff(11554,plain,
% 135.28/85.96 (((~v115(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v115(constB115)) | (~b011(bitIndex1)))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11555,plain,
% 135.28/85.97 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v115(constB115)) | (~b011(bitIndex1))))),
% 135.28/85.97 inference(monotonicity,[status(thm)],[11554])).
% 135.28/85.97 tff(11556,plain,
% 135.28/85.97 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v115(constB115)) | (~b011(bitIndex1)))),
% 135.28/85.97 inference(transitivity,[status(thm)],[11555, 11553])).
% 135.28/85.97 tff(11557,plain,
% 135.28/85.97 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b011(bitIndex1)))),
% 135.28/85.97 inference(quant_inst,[status(thm)],[])).
% 135.28/85.97 tff(11558,plain,
% 135.28/85.97 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v115(constB115)) | (~b011(bitIndex1))),
% 135.28/85.97 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 135.28/85.97 tff(11559,plain,
% 135.28/85.97 (~v115(constB115)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11558, 3033, 1193, 823, 11552])).
% 135.28/85.97 tff(11560,plain,
% 135.28/85.97 (~v123(constB116, bitIndex2)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[8006, 7969, 7818])).
% 135.28/85.97 tff(11561,plain,
% 135.28/85.97 (~v121(constB115, bitIndex2)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[8014, 11560])).
% 135.28/85.97 tff(11562,plain,
% 135.28/85.97 (~v124(constB115, bitIndex2)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[8025, 11561])).
% 135.28/85.97 tff(11563,plain,
% 135.28/85.97 (~v113(constB115)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[8075, 11562])).
% 135.28/85.97 tff(11564,plain,
% 135.28/85.97 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB115)) | v124(constB115, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB115)) | v124(constB115, bitIndex1) | (~b010(bitIndex1)))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11565,plain,
% 135.28/85.97 (((~v145(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB115)) | v124(constB115, bitIndex1) | (~b010(bitIndex1)))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11566,plain,
% 135.28/85.97 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB115)) | v124(constB115, bitIndex1) | (~b010(bitIndex1))))),
% 135.28/85.97 inference(monotonicity,[status(thm)],[11565])).
% 135.28/85.97 tff(11567,plain,
% 135.28/85.97 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB115)) | v124(constB115, bitIndex1) | (~b010(bitIndex1)))),
% 135.28/85.97 inference(transitivity,[status(thm)],[11566, 11564])).
% 135.28/85.97 tff(11568,plain,
% 135.28/85.97 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b010(bitIndex1)))),
% 135.28/85.97 inference(quant_inst,[status(thm)],[])).
% 135.28/85.97 tff(11569,plain,
% 135.28/85.97 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB115)) | v124(constB115, bitIndex1) | (~b010(bitIndex1))),
% 135.28/85.97 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 135.28/85.97 tff(11570,plain,
% 135.28/85.97 (~v145(constB115)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11569, 1821, 1818, 823, 11552])).
% 135.28/85.97 tff(11571,assumption,(~v145(constB115)), introduced(assumption)).
% 135.28/85.97 tff(11572,plain,
% 135.28/85.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB115) | v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB115) | v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0)))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11573,plain,
% 135.28/85.97 (((~v84(constB115, bitIndex0)) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2) | v145(constB115)) <=> (v145(constB115) | v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0)))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11574,plain,
% 135.28/85.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB115, bitIndex0)) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2) | v145(constB115))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB115) | v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))))),
% 135.28/85.97 inference(monotonicity,[status(thm)],[11573])).
% 135.28/85.97 tff(11575,plain,
% 135.28/85.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB115, bitIndex0)) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2) | v145(constB115))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB115) | v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0)))),
% 135.28/85.97 inference(transitivity,[status(thm)],[11574, 11572])).
% 135.28/85.97 tff(11576,plain,
% 135.28/85.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB115, bitIndex0)) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2) | v145(constB115))),
% 135.28/85.97 inference(quant_inst,[status(thm)],[])).
% 135.28/85.97 tff(11577,plain,
% 135.28/85.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB115) | v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))),
% 135.28/85.97 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 135.28/85.97 tff(11578,plain,
% 135.28/85.97 (v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11577, 865, 11571])).
% 135.28/85.97 tff(11579,plain,
% 135.28/85.97 (~v84(constB115, bitIndex0)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11578, 7682, 7667])).
% 135.28/85.97 tff(11580,plain,
% 135.28/85.97 (v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | v84(constB115, bitIndex2)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[7920, 983, 7737])).
% 135.28/85.97 tff(11581,plain,
% 135.28/85.97 ($false),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11580, 11579, 7682, 7667])).
% 135.28/85.97 tff(11582,plain,(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | v113(constB115) | v145(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.97 tff(11583,plain,
% 135.28/85.97 (v84(constB115, bitIndex1)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11582, 11570, 7682, 11563])).
% 135.28/85.97 tff(11584,plain,
% 135.28/85.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)) | v116(constB115))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)) | v116(constB115))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11585,plain,
% 135.28/85.97 (((~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115)) <=> (v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)) | v116(constB115))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11586,plain,
% 135.28/85.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)) | v116(constB115)))),
% 135.28/85.97 inference(monotonicity,[status(thm)],[11585])).
% 135.28/85.97 tff(11587,plain,
% 135.28/85.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)) | v116(constB115))),
% 135.28/85.97 inference(transitivity,[status(thm)],[11586, 11584])).
% 135.28/85.97 tff(11588,plain,
% 135.28/85.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB115, bitIndex0)) | (~v84(constB115, bitIndex1)) | v84(constB115, bitIndex2) | v116(constB115))),
% 135.28/85.97 inference(quant_inst,[status(thm)],[])).
% 135.28/85.97 tff(11589,plain,
% 135.28/85.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)) | v116(constB115)),
% 135.28/85.97 inference(modus_ponens,[status(thm)],[11588, 11587])).
% 135.28/85.97 tff(11590,plain,
% 135.28/85.97 ($false),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11589, 1076, 7682, 7675, 7657, 7724])).
% 135.28/85.97 tff(11591,plain,(v116(constB115) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.97 tff(11592,plain,
% 135.28/85.97 (~v84(constB115, bitIndex0)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11591, 11583, 7682, 7724])).
% 135.28/85.97 tff(11593,plain,
% 135.28/85.97 (v84(constB115, bitIndex0) | (~v84(constB115, bitIndex1)) | v115(constB115)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[7945, 1095, 7682])).
% 135.28/85.97 tff(11594,plain,
% 135.28/85.97 ($false),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11593, 11592, 11583, 11559])).
% 135.28/85.97 tff(11595,plain,((~v94(constB116)) | v84(constB115, bitIndex2) | v116(constB115) | v84(constB116, bitIndex2) | v84(constB116, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.97 tff(11596,plain,
% 135.28/85.97 (~v94(constB116)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11595, 7818, 7724, 7682, 7908])).
% 135.28/85.97 tff(11597,plain,
% 135.28/85.97 (v84(constB116, bitIndex0)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[7966, 11596, 7818])).
% 135.28/85.97 tff(11598,plain,
% 135.28/85.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB116, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB116, bitIndex0)))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11599,plain,
% 135.28/85.97 (((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB116, bitIndex0)) | v84(constB115, bitIndex0)) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB116, bitIndex0)))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11600,plain,
% 135.28/85.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB116, bitIndex0)) | v84(constB115, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB116, bitIndex0))))),
% 135.28/85.97 inference(monotonicity,[status(thm)],[11599])).
% 135.28/85.97 tff(11601,plain,
% 135.28/85.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB116, bitIndex0)) | v84(constB115, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB116, bitIndex0)))),
% 135.28/85.97 inference(transitivity,[status(thm)],[11600, 11598])).
% 135.28/85.97 tff(11602,plain,
% 135.28/85.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | (~v84(constB116, bitIndex0)) | v84(constB115, bitIndex0))),
% 135.28/85.97 inference(quant_inst,[status(thm)],[])).
% 135.28/85.97 tff(11603,plain,
% 135.28/85.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex0)) | v84(constB115, bitIndex0) | (~v84(constB116, bitIndex0))),
% 135.28/85.97 inference(modus_ponens,[status(thm)],[11602, 11601])).
% 135.28/85.97 tff(11604,plain,
% 135.28/85.97 (v94(constB116) | v84(constB115, bitIndex0)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11603, 805, 795, 7777, 6552])).
% 135.28/85.97 tff(11605,plain,
% 135.28/85.97 (v84(constB115, bitIndex0)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11604, 7774])).
% 135.28/85.97 tff(11606,plain,
% 135.28/85.97 (~v84(constB115, bitIndex1)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[7915, 7774])).
% 135.28/85.97 tff(11607,plain,
% 135.28/85.97 (v145(constB115)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11577, 865, 7826, 11606, 11605])).
% 135.28/85.97 tff(11608,plain,
% 135.28/85.97 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB115) | (~v145(constB115)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB115) | (~v145(constB115)))),
% 135.28/85.97 inference(rewrite,[status(thm)],[])).
% 135.28/85.97 tff(11609,plain,
% 135.28/85.97 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB115) | (~v145(constB115)))),
% 135.28/85.97 inference(quant_inst,[status(thm)],[])).
% 135.28/85.97 tff(11610,plain,
% 135.28/85.97 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB115) | (~v145(constB115))),
% 135.28/85.97 inference(modus_ponens,[status(thm)],[11609, 11608])).
% 135.28/85.97 tff(11611,plain,
% 135.28/85.97 (v112(constB115)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11610, 713, 11607])).
% 135.28/85.97 tff(11612,plain,
% 135.28/85.97 (v111(constB115)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[7928, 702, 11611])).
% 135.28/85.97 tff(11613,plain,
% 135.28/85.97 (v110(constB115)),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[7901, 691, 11612])).
% 135.28/85.97 tff(11614,plain,
% 135.28/85.97 ($false),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[7897, 680, 7963, 11613])).
% 135.28/85.97 tff(11615,plain,(v94(constB116) | v84(constB116, bitIndex1) | v84(constB116, bitIndex2) | (~v84(constB116, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.28/85.97 tff(11616,plain,
% 135.28/85.97 ($false),
% 135.28/85.97 inference(unit_resolution,[status(thm)],[11615, 11597, 11596, 7908, 7818])).
% 135.28/85.97 tff(11617,plain,(v84(constB116, bitIndex2) | v84(constB116, bitIndex1) | v116(constB115) | v84(constB115, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.28/85.97 tff(11618,plain,
% 135.28/85.97 (v84(constB116, bitIndex2)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11617, 7724, 7908, 7682])).
% 135.33/85.97 tff(11619,plain,
% 135.33/85.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB116, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB116, bitIndex2)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11620,plain,
% 135.33/85.97 (((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB116, bitIndex2)) | v84(constB115, bitIndex2)) <=> ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB116, bitIndex2)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11621,plain,
% 135.33/85.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB116, bitIndex2)) | v84(constB115, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB116, bitIndex2))))),
% 135.33/85.97 inference(monotonicity,[status(thm)],[11620])).
% 135.33/85.97 tff(11622,plain,
% 135.33/85.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB116, bitIndex2)) | v84(constB115, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB116, bitIndex2)))),
% 135.33/85.97 inference(transitivity,[status(thm)],[11621, 11619])).
% 135.33/85.97 tff(11623,plain,
% 135.33/85.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | (~v84(constB116, bitIndex2)) | v84(constB115, bitIndex2))),
% 135.33/85.97 inference(quant_inst,[status(thm)],[])).
% 135.33/85.97 tff(11624,plain,
% 135.33/85.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB115, constB116)) | v94(constB116) | (~less_3(bitIndex2)) | v84(constB115, bitIndex2) | (~v84(constB116, bitIndex2))),
% 135.33/85.97 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 135.33/85.97 tff(11625,plain,
% 135.33/85.97 (v94(constB116)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11624, 805, 767, 7777, 11618, 7682])).
% 135.33/85.97 tff(11626,plain,
% 135.33/85.97 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB116)) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB116)) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11627,plain,
% 135.33/85.97 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB116)) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2))),
% 135.33/85.97 inference(quant_inst,[status(thm)],[])).
% 135.33/85.97 tff(11628,plain,
% 135.33/85.97 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB116)) | (~v84(constB116, bitIndex2)) | v123(constB116, bitIndex2)),
% 135.33/85.97 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 135.33/85.97 tff(11629,plain,
% 135.33/85.97 (v123(constB116, bitIndex2)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11628, 1344, 767, 11625, 11618])).
% 135.33/85.97 tff(11630,plain,
% 135.33/85.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v121(constB115, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v121(constB115, bitIndex2))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11631,plain,
% 135.33/85.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v121(constB115, bitIndex2))),
% 135.33/85.97 inference(quant_inst,[status(thm)],[])).
% 135.33/85.97 tff(11632,plain,
% 135.33/85.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex2)) | (~v123(constB116, bitIndex2)) | v121(constB115, bitIndex2)),
% 135.33/85.97 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 135.33/85.97 tff(11633,plain,
% 135.33/85.97 (v121(constB115, bitIndex2)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11632, 1362, 767, 7777, 11629])).
% 135.33/85.97 tff(11634,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11635,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2)))),
% 135.33/85.97 inference(quant_inst,[status(thm)],[])).
% 135.33/85.97 tff(11636,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex2)) | v124(constB115, bitIndex2) | (~v121(constB115, bitIndex2))),
% 135.33/85.97 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 135.33/85.97 tff(11637,plain,
% 135.33/85.97 (v124(constB115, bitIndex2)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11636, 1380, 767, 7803, 11633])).
% 135.33/85.97 tff(11638,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v118(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v118(constB115)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11639,plain,
% 135.33/85.97 (((~v118(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v118(constB115)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11640,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v118(constB115))))),
% 135.33/85.97 inference(monotonicity,[status(thm)],[11639])).
% 135.33/85.97 tff(11641,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v118(constB115)))),
% 135.33/85.97 inference(transitivity,[status(thm)],[11640, 11638])).
% 135.33/85.97 tff(11642,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b011(bitIndex2))),
% 135.33/85.97 inference(quant_inst,[status(thm)],[])).
% 135.33/85.97 tff(11643,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v118(constB115))),
% 135.33/85.97 inference(modus_ponens,[status(thm)],[11642, 11641])).
% 135.33/85.97 tff(11644,plain,
% 135.33/85.97 (~v118(constB115)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11643, 2030, 2027, 767, 11637])).
% 135.33/85.97 tff(11645,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v115(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v115(constB115)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11646,plain,
% 135.33/85.97 (((~v115(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v115(constB115)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11647,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v115(constB115))))),
% 135.33/85.97 inference(monotonicity,[status(thm)],[11646])).
% 135.33/85.97 tff(11648,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v115(constB115)))),
% 135.33/85.97 inference(transitivity,[status(thm)],[11647, 11645])).
% 135.33/85.97 tff(11649,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b011(bitIndex2))),
% 135.33/85.97 inference(quant_inst,[status(thm)],[])).
% 135.33/85.97 tff(11650,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | (~v115(constB115))),
% 135.33/85.97 inference(modus_ponens,[status(thm)],[11649, 11648])).
% 135.33/85.97 tff(11651,plain,
% 135.33/85.97 (~v115(constB115)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11650, 2030, 2257, 767, 11637])).
% 135.33/85.97 tff(11652,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB115)) | (~v124(constB115, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB115)) | (~v124(constB115, bitIndex2)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11653,plain,
% 135.33/85.97 (((~v145(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB115)) | (~v124(constB115, bitIndex2)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11654,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB115)) | (~v124(constB115, bitIndex2))))),
% 135.33/85.97 inference(monotonicity,[status(thm)],[11653])).
% 135.33/85.97 tff(11655,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB115)) | (~v124(constB115, bitIndex2)))),
% 135.33/85.97 inference(transitivity,[status(thm)],[11654, 11652])).
% 135.33/85.97 tff(11656,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB115)) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b010(bitIndex2))),
% 135.33/85.97 inference(quant_inst,[status(thm)],[])).
% 135.33/85.97 tff(11657,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB115)) | (~v124(constB115, bitIndex2))),
% 135.33/85.97 inference(modus_ponens,[status(thm)],[11656, 11655])).
% 135.33/85.97 tff(11658,plain,
% 135.33/85.97 (~v145(constB115)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11657, 1419, 1416, 767, 11637])).
% 135.33/85.97 tff(11659,plain,
% 135.33/85.97 (~v123(constB116, bitIndex1)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11536, 11625])).
% 135.33/85.97 tff(11660,plain,
% 135.33/85.97 (~v121(constB115, bitIndex1)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11544, 11659])).
% 135.33/85.97 tff(11661,plain,
% 135.33/85.97 (~v124(constB115, bitIndex1)),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11551, 1728, 823, 7803, 11660])).
% 135.33/85.97 tff(11662,assumption,(~v124(constB115, bitIndex1)), introduced(assumption)).
% 135.33/85.97 tff(11663,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)) | (~v172(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)) | (~v172(constB115)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11664,plain,
% 135.33/85.97 (((~v172(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)) | (~v172(constB115)))),
% 135.33/85.97 inference(rewrite,[status(thm)],[])).
% 135.33/85.97 tff(11665,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)) | (~v172(constB115))))),
% 135.33/85.97 inference(monotonicity,[status(thm)],[11664])).
% 135.33/85.97 tff(11666,plain,
% 135.33/85.97 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)) | (~v172(constB115)))),
% 135.33/85.97 inference(transitivity,[status(thm)],[11665, 11663])).
% 135.33/85.97 tff(11667,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)))),
% 135.33/85.97 inference(quant_inst,[status(thm)],[])).
% 135.33/85.97 tff(11668,plain,
% 135.33/85.97 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b110(bitIndex1)) | (~v172(constB115))),
% 135.33/85.97 inference(modus_ponens,[status(thm)],[11667, 11666])).
% 135.33/85.97 tff(11669,plain,
% 135.33/85.97 ($false),
% 135.33/85.97 inference(unit_resolution,[status(thm)],[11668, 1801, 1798, 823, 8037, 11662])).
% 135.33/85.98 tff(11670,plain,(v124(constB115, bitIndex1) | (~v172(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.98 tff(11671,plain,
% 135.33/85.98 (~v172(constB115)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11670, 11661])).
% 135.33/85.98 tff(11672,plain,
% 135.33/85.98 (~v84(constB114, bitIndex2)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7687, 7682])).
% 135.33/85.98 tff(11673,plain,
% 135.33/85.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v113(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB115, bitIndex0)) | (~v113(constB115)))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11674,plain,
% 135.33/85.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB115, bitIndex0)) | (~v113(constB115)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11675,plain,
% 135.33/85.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB115, bitIndex0)) | (~v113(constB115))),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11674, 11673])).
% 135.33/85.98 tff(11676,plain,
% 135.33/85.98 (~v84(constB115, bitIndex0)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11675, 2764, 8067])).
% 135.33/85.98 tff(11677,plain,
% 135.33/85.98 (~v84(constB114, bitIndex0)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7654, 11676])).
% 135.33/85.98 tff(11678,plain,
% 135.33/85.98 (~v84(constB115, bitIndex1)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7699, 1465, 8067])).
% 135.33/85.98 tff(11679,plain,
% 135.33/85.98 (~v84(constB114, bitIndex1)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7672, 11678])).
% 135.33/85.98 tff(11680,plain,
% 135.33/85.98 (~v84(constB113, bitIndex0)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7601, 7464])).
% 135.33/85.98 tff(11681,plain,
% 135.33/85.98 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB113) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB113) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11682,plain,
% 135.33/85.98 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB113) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11683,plain,
% 135.33/85.98 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB113) | v84(constB113, bitIndex0) | v84(constB113, bitIndex1) | v84(constB113, bitIndex2)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 135.33/85.98 tff(11684,plain,
% 135.33/85.98 (v113(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11683, 983, 8151, 11680, 8299])).
% 135.33/85.98 tff(11685,plain,
% 135.33/85.98 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB113) | (~v113(constB113)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB113) | (~v113(constB113)))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11686,plain,
% 135.33/85.98 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB113) | (~v113(constB113)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11687,plain,
% 135.33/85.98 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB113) | (~v113(constB113))),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 135.33/85.98 tff(11688,plain,
% 135.33/85.98 (v112(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11687, 969, 11684])).
% 135.33/85.98 tff(11689,plain,
% 135.33/85.98 (v111(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[8295, 702, 11688])).
% 135.33/85.98 tff(11690,plain,
% 135.33/85.98 ($false),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[8291, 691, 11689, 8288])).
% 135.33/85.98 tff(11691,plain,(v94(constB114) | v84(constB114, bitIndex0) | v84(constB114, bitIndex2) | v84(constB114, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.98 tff(11692,plain,
% 135.33/85.98 (v94(constB114)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11691, 7575, 7594, 7463])).
% 135.33/85.98 tff(11693,plain,
% 135.33/85.98 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v84(constB114, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v84(constB114, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11694,plain,
% 135.33/85.98 (((~less_3(bitIndex0)) | (~v94(constB114)) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0))) <=> ((~v94(constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v84(constB114, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11695,plain,
% 135.33/85.98 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB114)) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v84(constB114, bitIndex0)))),
% 135.33/85.98 inference(monotonicity,[status(thm)],[11694])).
% 135.33/85.98 tff(11696,plain,
% 135.33/85.98 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB114)) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v84(constB114, bitIndex0))),
% 135.33/85.98 inference(transitivity,[status(thm)],[11695, 11693])).
% 135.33/85.98 tff(11697,plain,
% 135.33/85.98 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB114)) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11698,plain,
% 135.33/85.98 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v84(constB114, bitIndex0)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 135.33/85.98 tff(11699,plain,
% 135.33/85.98 ((~v94(constB114)) | (~v123(constB114, bitIndex0))),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11698, 1674, 795, 7594])).
% 135.33/85.98 tff(11700,plain,
% 135.33/85.98 (~v123(constB114, bitIndex0)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11699, 11692])).
% 135.33/85.98 tff(11701,plain,
% 135.33/85.98 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex0)) | v123(constB114, bitIndex0) | (~v121(constB113, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex0)) | v123(constB114, bitIndex0) | (~v121(constB113, bitIndex0)))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11702,plain,
% 135.33/85.98 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex0)) | v123(constB114, bitIndex0) | (~v121(constB113, bitIndex0)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11703,plain,
% 135.33/85.98 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex0)) | v123(constB114, bitIndex0) | (~v121(constB113, bitIndex0))),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 135.33/85.98 tff(11704,plain,
% 135.33/85.98 (~v121(constB113, bitIndex0)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11703, 1708, 795, 7467, 11700])).
% 135.33/85.98 tff(11705,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11706,plain,
% 135.33/85.98 ((v26(constB113) | v121(constB113, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0))) <=> (v26(constB113) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11707,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0)))),
% 135.33/85.98 inference(monotonicity,[status(thm)],[11706])).
% 135.33/85.98 tff(11708,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0))),
% 135.33/85.98 inference(transitivity,[status(thm)],[11707, 11705])).
% 135.33/85.98 tff(11709,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB113) | v121(constB113, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11710,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11709, 11708])).
% 135.33/85.98 tff(11711,plain,
% 135.33/85.98 (~v124(constB113, bitIndex0)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11710, 1728, 795, 7491, 11704])).
% 135.33/85.98 tff(11712,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB113)) | v124(constB113, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB113)) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11713,plain,
% 135.33/85.98 (((~v115(constB113)) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB113)) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11714,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB113)) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB113)) | v124(constB113, bitIndex0)))),
% 135.33/85.98 inference(monotonicity,[status(thm)],[11713])).
% 135.33/85.98 tff(11715,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB113)) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB113)) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(transitivity,[status(thm)],[11714, 11712])).
% 135.33/85.98 tff(11716,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB113)) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b011(bitIndex0)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11717,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB113)) | v124(constB113, bitIndex0)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11716, 11715])).
% 135.33/85.98 tff(11718,plain,
% 135.33/85.98 (~v115(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11717, 1148, 1193, 795, 11711])).
% 135.33/85.98 tff(11719,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB113)) | v124(constB113, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB113)) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11720,plain,
% 135.33/85.98 (((~v118(constB113)) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB113)) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11721,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB113)) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB113)) | v124(constB113, bitIndex0)))),
% 135.33/85.98 inference(monotonicity,[status(thm)],[11720])).
% 135.33/85.98 tff(11722,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB113)) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB113)) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(transitivity,[status(thm)],[11721, 11719])).
% 135.33/85.98 tff(11723,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB113)) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b011(bitIndex0)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11724,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB113)) | v124(constB113, bitIndex0)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11723, 11722])).
% 135.33/85.98 tff(11725,plain,
% 135.33/85.98 (~v118(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11724, 1148, 1145, 795, 11711])).
% 135.33/85.98 tff(11726,plain,
% 135.33/85.98 ((~v94(constB114)) | (~v123(constB114, bitIndex1))),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7482, 1674, 823, 7463])).
% 135.33/85.98 tff(11727,plain,
% 135.33/85.98 (~v123(constB114, bitIndex1)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11726, 11692])).
% 135.33/85.98 tff(11728,plain,
% 135.33/85.98 (~v121(constB113, bitIndex1)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7486, 1708, 823, 7467, 11727])).
% 135.33/85.98 tff(11729,plain,
% 135.33/85.98 (~v124(constB113, bitIndex1)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7497, 1728, 823, 7491, 11728])).
% 135.33/85.98 tff(11730,plain,
% 135.33/85.98 (~v145(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7504, 1821, 1818, 823, 11729])).
% 135.33/85.98 tff(11731,plain,
% 135.33/85.98 (~v123(constB114, bitIndex2)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[8490, 11692])).
% 135.33/85.98 tff(11732,plain,
% 135.33/85.98 (~v121(constB113, bitIndex2)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[8494, 1708, 767, 7467, 11731])).
% 135.33/85.98 tff(11733,plain,
% 135.33/85.98 (~v124(constB113, bitIndex2)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[8501, 1728, 767, 7491, 11732])).
% 135.33/85.98 tff(11734,plain,
% 135.33/85.98 (~v116(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[8508, 1772, 1769, 767, 11733])).
% 135.33/85.98 tff(11735,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB113)) | v124(constB113, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB113)) | v124(constB113, bitIndex2))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11736,plain,
% 135.33/85.98 (((~v113(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB113)) | v124(constB113, bitIndex2))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11737,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB113)) | v124(constB113, bitIndex2)))),
% 135.33/85.98 inference(monotonicity,[status(thm)],[11736])).
% 135.33/85.98 tff(11738,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB113)) | v124(constB113, bitIndex2))),
% 135.33/85.98 inference(transitivity,[status(thm)],[11737, 11735])).
% 135.33/85.98 tff(11739,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b100(bitIndex2)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11740,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB113)) | v124(constB113, bitIndex2)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11739, 11738])).
% 135.33/85.98 tff(11741,plain,
% 135.33/85.98 (~v113(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11740, 1772, 1838, 767, 11733])).
% 135.33/85.98 tff(11742,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB113)) | v124(constB113, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB113)) | v124(constB113, bitIndex2))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11743,plain,
% 135.33/85.98 (((~v172(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB113)) | v124(constB113, bitIndex2))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11744,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB113)) | v124(constB113, bitIndex2)))),
% 135.33/85.98 inference(monotonicity,[status(thm)],[11743])).
% 135.33/85.98 tff(11745,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB113)) | v124(constB113, bitIndex2))),
% 135.33/85.98 inference(transitivity,[status(thm)],[11744, 11742])).
% 135.33/85.98 tff(11746,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB113)) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~b110(bitIndex2)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11747,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB113)) | v124(constB113, bitIndex2)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11746, 11745])).
% 135.33/85.98 tff(11748,plain,
% 135.33/85.98 (~v172(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11747, 2066, 1798, 767, 11733])).
% 135.33/85.98 tff(11749,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB113) | (~b001(bitIndex0)) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | v124(constB113, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB113) | (~b001(bitIndex0)) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11750,plain,
% 135.33/85.98 ((v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB113) | (~b001(bitIndex0)) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11751,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB113) | (~b001(bitIndex0)) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | v124(constB113, bitIndex0)))),
% 135.33/85.98 inference(monotonicity,[status(thm)],[11750])).
% 135.33/85.98 tff(11752,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB113) | (~b001(bitIndex0)) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | v124(constB113, bitIndex0))),
% 135.33/85.98 inference(transitivity,[status(thm)],[11751, 11749])).
% 135.33/85.98 tff(11753,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~b001(bitIndex0)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11754,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB113) | (~b001(bitIndex0)) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | v124(constB113, bitIndex0)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11753, 11752])).
% 135.33/85.98 tff(11755,plain,
% 135.33/85.98 (v145(constB113) | v118(constB113) | v115(constB113)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11754, 1213, 1210, 795, 11748, 11741, 11711, 11734])).
% 135.33/85.98 tff(11756,plain,
% 135.33/85.98 ($false),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11755, 11730, 11725, 11718])).
% 135.33/85.98 tff(11757,plain,(v84(constB114, bitIndex2) | v84(constB114, bitIndex1) | v84(constB114, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.98 tff(11758,plain,
% 135.33/85.98 ($false),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11757, 11679, 11677, 7575])).
% 135.33/85.98 tff(11759,plain,((~v113(constB115)) | v84(constB114, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.98 tff(11760,plain,
% 135.33/85.98 (~v113(constB115)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11759, 11672])).
% 135.33/85.98 tff(11761,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB115) | (~v124(constB115, bitIndex2)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB115) | (~v124(constB115, bitIndex2)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11762,plain,
% 135.33/85.98 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB115) | (~v124(constB115, bitIndex2)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11763,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB115) | (~v124(constB115, bitIndex2)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115)))),
% 135.33/85.98 inference(monotonicity,[status(thm)],[11762])).
% 135.33/85.98 tff(11764,plain,
% 135.33/85.98 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB115) | (~v124(constB115, bitIndex2)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.33/85.98 inference(transitivity,[status(thm)],[11763, 11761])).
% 135.33/85.98 tff(11765,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex2)) | (~v124(constB115, bitIndex2)) | b001(bitIndex2))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11766,plain,
% 135.33/85.98 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB115) | (~v124(constB115, bitIndex2)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115)),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 135.33/85.98 tff(11767,plain,
% 135.33/85.98 (v145(constB115) | v118(constB115) | v115(constB115)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11766, 2427, 2424, 767, 11760, 11671, 11637, 7724])).
% 135.33/85.98 tff(11768,plain,
% 135.33/85.98 ($false),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11767, 11658, 11651, 11644])).
% 135.33/85.98 tff(11769,plain,(v116(constB115) | v84(constB116, bitIndex1) | v84(constB115, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.98 tff(11770,plain,
% 135.33/85.98 (v84(constB115, bitIndex2)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11769, 11529, 7908])).
% 135.33/85.98 tff(11771,plain,
% 135.33/85.98 ($false),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7914, 777, 823, 7777, 7774, 7908, 7675])).
% 135.33/85.98 tff(11772,plain,(v84(constB116, bitIndex1) | v94(constB116) | (~v84(constB115, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.98 tff(11773,plain,
% 135.33/85.98 (~v84(constB115, bitIndex1)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11772, 7774, 7908])).
% 135.33/85.98 tff(11774,plain,
% 135.33/85.98 ($false),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7920, 983, 7737, 7682, 7667, 7631])).
% 135.33/85.98 tff(11775,plain,(v113(constB115) | v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | v84(constB115, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.98 tff(11776,plain,
% 135.33/85.98 (v84(constB115, bitIndex0)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11775, 11773, 7682, 11760])).
% 135.33/85.98 tff(11777,plain,
% 135.33/85.98 (v84(constB116, bitIndex0)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7785, 11776, 7774])).
% 135.33/85.98 tff(11778,plain,
% 135.33/85.98 (v84(constB116, bitIndex2)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11615, 11777, 7908, 7774])).
% 135.33/85.98 tff(11779,plain,
% 135.33/85.98 ($false),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11624, 805, 767, 7777, 7774, 11778, 7682])).
% 135.33/85.98 tff(11780,plain,(v94(constB116) | v84(constB115, bitIndex2) | v84(constB116, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.98 tff(11781,plain,
% 135.33/85.98 (v84(constB115, bitIndex2)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11780, 7774, 7908])).
% 135.33/85.98 tff(11782,plain,
% 135.33/85.98 (~v109(constB115)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7893, 669, 7765])).
% 135.33/85.98 tff(11783,plain,
% 135.33/85.98 (~v110(constB115)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7897, 680, 11782])).
% 135.33/85.98 tff(11784,plain,
% 135.33/85.98 (~v111(constB115)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[7901, 691, 11783])).
% 135.33/85.98 tff(11785,plain,
% 135.33/85.98 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB115) | (~v118(constB115)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB115) | (~v118(constB115)))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11786,plain,
% 135.33/85.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB115) | (~v118(constB115)))),
% 135.33/85.98 inference(quant_inst,[status(thm)],[])).
% 135.33/85.98 tff(11787,plain,
% 135.33/85.98 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB115) | (~v118(constB115))),
% 135.33/85.98 inference(modus_ponens,[status(thm)],[11786, 11785])).
% 135.33/85.98 tff(11788,plain,
% 135.33/85.98 (~v118(constB115)),
% 135.33/85.98 inference(unit_resolution,[status(thm)],[11787, 1004, 7765])).
% 135.33/85.98 tff(11789,plain,
% 135.33/85.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115) | (~v84(constB115, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115) | (~v84(constB115, bitIndex0)))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11790,plain,
% 135.33/85.98 (((~v84(constB115, bitIndex0)) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115)) <=> (v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115) | (~v84(constB115, bitIndex0)))),
% 135.33/85.98 inference(rewrite,[status(thm)],[])).
% 135.33/85.98 tff(11791,plain,
% 135.33/85.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB115, bitIndex0)) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115) | (~v84(constB115, bitIndex0))))),
% 135.33/85.99 inference(monotonicity,[status(thm)],[11790])).
% 135.33/85.99 tff(11792,plain,
% 135.33/85.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB115, bitIndex0)) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115) | (~v84(constB115, bitIndex0)))),
% 135.33/85.99 inference(transitivity,[status(thm)],[11791, 11789])).
% 135.33/85.99 tff(11793,plain,
% 135.33/85.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB115, bitIndex0)) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11794,plain,
% 135.33/85.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v118(constB115) | (~v84(constB115, bitIndex0))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11793, 11792])).
% 135.33/85.99 tff(11795,plain,
% 135.33/85.99 (~v84(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11794, 1018, 7667, 11788, 7657])).
% 135.33/85.99 tff(11796,plain,
% 135.33/85.99 (v145(constB115) | v84(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11577, 865, 7667, 7657])).
% 135.33/85.99 tff(11797,plain,
% 135.33/85.99 (v145(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11796, 11795])).
% 135.33/85.99 tff(11798,plain,
% 135.33/85.99 (v112(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11610, 713, 11797])).
% 135.33/85.99 tff(11799,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7928, 702, 11798, 11784])).
% 135.33/85.99 tff(11800,plain,(v108(constB115) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11801,plain,
% 135.33/85.99 (~v84(constB115, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11800, 7765, 7667])).
% 135.33/85.99 tff(11802,plain,
% 135.33/85.99 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v172(constB115))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v172(constB115))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11803,plain,
% 135.33/85.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v172(constB115))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11804,plain,
% 135.33/85.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | v172(constB115)),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11803, 11802])).
% 135.33/85.99 tff(11805,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11804, 1047, 7690, 7667, 7714, 7631])).
% 135.33/85.99 tff(11806,plain,(v172(constB115) | (~v84(constB115, bitIndex2)) | v84(constB115, bitIndex1) | v84(constB115, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11807,plain,
% 135.33/85.99 (v172(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11806, 11801, 7667, 7690])).
% 135.33/85.99 tff(11808,plain,
% 135.33/85.99 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB115) | (~v172(constB115)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB115) | (~v172(constB115)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11809,plain,
% 135.33/85.99 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB115) | (~v172(constB115)))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11810,plain,
% 135.33/85.99 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB115) | (~v172(constB115))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11809, 11808])).
% 135.33/85.99 tff(11811,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11810, 1033, 8037, 7756])).
% 135.33/85.99 tff(11812,plain,(v109(constB115) | (~v172(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11813,plain,
% 135.33/85.99 (v109(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11812, 11807])).
% 135.33/85.99 tff(11814,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7893, 669, 7765, 11813])).
% 135.33/85.99 tff(11815,plain,(v108(constB115) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11816,plain,
% 135.33/85.99 (v108(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11815, 11773, 11781])).
% 135.33/85.99 tff(11817,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7889, 658, 7886, 7757])).
% 135.33/85.99 tff(11818,plain,(v107(constB115) | (~v108(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11819,plain,
% 135.33/85.99 (v107(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11818, 11816])).
% 135.33/85.99 tff(11820,plain,
% 135.33/85.99 (v106(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7884, 11819])).
% 135.33/85.99 tff(11821,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7876, 619, 7873, 11820])).
% 135.33/85.99 tff(11822,plain,(v94(constB116) | v84(constB116, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11823,plain,
% 135.33/85.99 (v94(constB116)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11822, 7908])).
% 135.33/85.99 tff(11824,assumption,(v123(constB116, bitIndex1)), introduced(assumption)).
% 135.33/85.99 tff(11825,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11535, 1674, 823, 7969, 7908, 11824])).
% 135.33/85.99 tff(11826,plain,(v84(constB116, bitIndex1) | (~v94(constB116)) | (~v123(constB116, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11827,plain,
% 135.33/85.99 (~v123(constB116, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11826, 7908, 7969])).
% 135.33/85.99 tff(11828,plain,
% 135.33/85.99 (~v121(constB115, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11544, 11827])).
% 135.33/85.99 tff(11829,assumption,(~v121(constB115, bitIndex1)), introduced(assumption)).
% 135.33/85.99 tff(11830,assumption,(v124(constB115, bitIndex1)), introduced(assumption)).
% 135.33/85.99 tff(11831,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11551, 1728, 823, 7803, 11830, 11829])).
% 135.33/85.99 tff(11832,plain,(v121(constB115, bitIndex1) | (~v124(constB115, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11833,plain,
% 135.33/85.99 (~v124(constB115, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11832, 11828])).
% 135.33/85.99 tff(11834,plain,
% 135.33/85.99 (~v123(constB116, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11535, 1674, 823, 7969, 7908])).
% 135.33/85.99 tff(11835,plain,
% 135.33/85.99 (~v121(constB115, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11544, 11834])).
% 135.33/85.99 tff(11836,plain,
% 135.33/85.99 (~v124(constB115, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11551, 1728, 823, 7803, 11835])).
% 135.33/85.99 tff(11837,plain,
% 135.33/85.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11838,plain,
% 135.33/85.99 (((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | (~v84(constB117, bitIndex1)) | v84(constB116, bitIndex1)) <=> ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11839,plain,
% 135.33/85.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | (~v84(constB117, bitIndex1)) | v84(constB116, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1))))),
% 135.33/85.99 inference(monotonicity,[status(thm)],[11838])).
% 135.33/85.99 tff(11840,plain,
% 135.33/85.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | (~v84(constB117, bitIndex1)) | v84(constB116, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1)))),
% 135.33/85.99 inference(transitivity,[status(thm)],[11839, 11837])).
% 135.33/85.99 tff(11841,plain,
% 135.33/85.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | (~v84(constB117, bitIndex1)) | v84(constB116, bitIndex1))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11842,plain,
% 135.33/85.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB116, bitIndex1) | (~v84(constB117, bitIndex1))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 135.33/85.99 tff(11843,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11842, 805, 823, 6529, 6541, 7908, 5343])).
% 135.33/85.99 tff(11844,plain,((~v84(constB117, bitIndex1)) | v84(constB116, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11845,plain,
% 135.33/85.99 (~v84(constB117, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11844, 7908])).
% 135.33/85.99 tff(11846,plain,
% 135.33/85.99 (~v84(constB117, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[10750, 7818])).
% 135.33/85.99 tff(11847,plain,
% 135.33/85.99 (v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[5423, 865, 2])).
% 135.33/85.99 tff(11848,plain,
% 135.33/85.99 (~v84(constB117, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11847, 11846, 11845])).
% 135.33/85.99 tff(11849,plain,
% 135.33/85.99 (~v84(constB116, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[6557, 11848])).
% 135.33/85.99 tff(11850,plain,
% 135.33/85.99 (~v123(constB116, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7975, 1674, 795, 7969, 11849])).
% 135.33/85.99 tff(11851,plain,
% 135.33/85.99 (~v121(constB115, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7983, 1708, 795, 7777, 11850])).
% 135.33/85.99 tff(11852,plain,
% 135.33/85.99 (~v124(constB115, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7994, 1728, 795, 7803, 11851])).
% 135.33/85.99 tff(11853,plain,
% 135.33/85.99 (~v115(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[8063, 1148, 1193, 795, 11852])).
% 135.33/85.99 tff(11854,plain,
% 135.33/85.99 (~v123(constB116, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[8006, 7818, 7969])).
% 135.33/85.99 tff(11855,plain,
% 135.33/85.99 (~v121(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[8014, 11854])).
% 135.33/85.99 tff(11856,plain,
% 135.33/85.99 (~v124(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[8025, 11855])).
% 135.33/85.99 tff(11857,plain,
% 135.33/85.99 (~v172(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[8045, 11856])).
% 135.33/85.99 tff(11858,plain,
% 135.33/85.99 (v145(constB115) | v115(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[8082, 1213, 1210, 795, 7737, 7758, 11857, 7724, 11852])).
% 135.33/85.99 tff(11859,plain,
% 135.33/85.99 (v145(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11858, 11853])).
% 135.33/85.99 tff(11860,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11569, 1821, 1818, 823, 11859, 11836])).
% 135.33/85.99 tff(11861,plain,(v84(constB116, bitIndex2) | v113(constB115) | v118(constB115) | v116(constB115) | (~v94(constB116)) | v84(constB116, bitIndex1) | v145(constB117)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11862,plain,
% 135.33/85.99 (v84(constB116, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11861, 7758, 7908, 7724, 7737, 7969, 2])).
% 135.33/85.99 tff(11863,plain,
% 135.33/85.99 (v123(constB116, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11628, 1344, 767, 7969, 11862])).
% 135.33/85.99 tff(11864,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11632, 1362, 767, 7777, 8016, 7998])).
% 135.33/85.99 tff(11865,plain,((~v123(constB116, bitIndex2)) | v121(constB115, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11866,plain,
% 135.33/85.99 (v121(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11865, 11863])).
% 135.33/85.99 tff(11867,plain,
% 135.33/85.99 (v124(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11636, 1380, 767, 7803, 11866])).
% 135.33/85.99 tff(11868,plain,
% 135.33/85.99 (~v172(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11670, 11833])).
% 135.33/85.99 tff(11869,plain,
% 135.33/85.99 (v84(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11582, 7667, 7737, 11571])).
% 135.33/85.99 tff(11870,plain,
% 135.33/85.99 (v84(constB115, bitIndex0) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2))),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11804, 1047, 7714])).
% 135.33/85.99 tff(11871,plain,
% 135.33/85.99 (v84(constB115, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11870, 11869, 7667])).
% 135.33/85.99 tff(11872,plain,
% 135.33/85.99 (v84(constB115, bitIndex1) | (~v84(constB115, bitIndex2)) | (~v84(constB115, bitIndex0))),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11794, 1018, 7758])).
% 135.33/85.99 tff(11873,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11872, 11871, 11869, 7667])).
% 135.33/85.99 tff(11874,plain,(v84(constB115, bitIndex1) | v118(constB115) | v172(constB115) | v113(constB115) | v145(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11875,plain,
% 135.33/85.99 (v145(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11874, 7758, 7667, 7737, 11868])).
% 135.33/85.99 tff(11876,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11657, 1419, 1416, 767, 11875, 11867])).
% 135.33/85.99 tff(11877,plain,(v118(constB115) | (~v94(constB116)) | v84(constB116, bitIndex1) | v116(constB115) | v113(constB115) | v145(constB117) | v84(constB115, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11878,plain,
% 135.33/85.99 (v118(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11877, 7908, 7969, 7724, 7737, 2, 7667])).
% 135.33/85.99 tff(11879,plain,
% 135.33/85.99 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v118(constB115)) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v118(constB115)) | (~b011(bitIndex1)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11880,plain,
% 135.33/85.99 (((~v118(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v118(constB115)) | (~b011(bitIndex1)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11881,plain,
% 135.33/85.99 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v118(constB115)) | (~b011(bitIndex1))))),
% 135.33/85.99 inference(monotonicity,[status(thm)],[11880])).
% 135.33/85.99 tff(11882,plain,
% 135.33/85.99 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v118(constB115)) | (~b011(bitIndex1)))),
% 135.33/85.99 inference(transitivity,[status(thm)],[11881, 11879])).
% 135.33/85.99 tff(11883,plain,
% 135.33/85.99 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB115)) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~b011(bitIndex1)))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11884,plain,
% 135.33/85.99 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v118(constB115)) | (~b011(bitIndex1))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11883, 11882])).
% 135.33/85.99 tff(11885,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11884, 3033, 1145, 823, 11878, 11833])).
% 135.33/85.99 tff(11886,plain,(v84(constB116, bitIndex1) | (~v94(constB116)) | v116(constB115) | v113(constB115) | v145(constB117) | v84(constB115, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11887,plain,
% 135.33/85.99 (v113(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11886, 11529, 7908, 11823, 2, 7667])).
% 135.33/85.99 tff(11888,plain,
% 135.33/85.99 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB115)) | (~v84(constB115, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB115)) | (~v84(constB115, bitIndex2)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11889,plain,
% 135.33/85.99 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB115)) | (~v84(constB115, bitIndex2)))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11890,plain,
% 135.33/85.99 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB115)) | (~v84(constB115, bitIndex2))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11889, 11888])).
% 135.33/85.99 tff(11891,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11890, 1119, 8067, 7690])).
% 135.33/85.99 tff(11892,plain,((~v113(constB115)) | (~v84(constB115, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11893,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11892, 11887, 11770])).
% 135.33/85.99 tff(11894,plain,(v84(constB115, bitIndex1) | v84(constB116, bitIndex1) | v145(constB117)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11895,plain,
% 135.33/85.99 (v84(constB116, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11894, 7667, 2])).
% 135.33/85.99 tff(11896,assumption,(v84(constB116, bitIndex1)), introduced(assumption)).
% 135.33/85.99 tff(11897,plain,
% 135.33/85.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB116, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB116, bitIndex1)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11898,plain,
% 135.33/85.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB116, bitIndex1)))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11899,plain,
% 135.33/85.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB116, bitIndex1))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 135.33/85.99 tff(11900,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11899, 777, 823, 6529, 6541, 11896, 5353])).
% 135.33/85.99 tff(11901,plain,((~v84(constB116, bitIndex1)) | v84(constB117, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11902,plain,
% 135.33/85.99 (v84(constB117, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11901, 11896])).
% 135.33/85.99 tff(11903,assumption,(~v110(constB117)), introduced(assumption)).
% 135.33/85.99 tff(11904,plain,
% 135.33/85.99 (~v111(constB117)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[5408, 691, 11903])).
% 135.33/85.99 tff(11905,plain,
% 135.33/85.99 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB117) | (~v116(constB117)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB117) | (~v116(constB117)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11906,plain,
% 135.33/85.99 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB117) | (~v116(constB117)))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11907,plain,
% 135.33/85.99 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB117) | (~v116(constB117))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 135.33/85.99 tff(11908,plain,
% 135.33/85.99 (~v116(constB117)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11907, 934, 11903])).
% 135.33/85.99 tff(11909,plain,
% 135.33/85.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v116(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v116(constB117))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11910,plain,
% 135.33/85.99 (((~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v116(constB117)) <=> (v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v116(constB117))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11911,plain,
% 135.33/85.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v116(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v116(constB117)))),
% 135.33/85.99 inference(monotonicity,[status(thm)],[11910])).
% 135.33/85.99 tff(11912,plain,
% 135.33/85.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v116(constB117))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v116(constB117))),
% 135.33/85.99 inference(transitivity,[status(thm)],[11911, 11909])).
% 135.33/85.99 tff(11913,plain,
% 135.33/85.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v84(constB117, bitIndex2) | v116(constB117))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11914,plain,
% 135.33/85.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)) | (~v84(constB117, bitIndex1)) | v116(constB117)),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11913, 11912])).
% 135.33/85.99 tff(11915,plain,
% 135.33/85.99 (v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)) | v116(constB117)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11914, 1076, 5343])).
% 135.33/85.99 tff(11916,plain,
% 135.33/85.99 (~v84(constB117, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11915, 11908, 6525])).
% 135.33/85.99 tff(11917,plain,
% 135.33/85.99 (v84(constB117, bitIndex0) | v84(constB117, bitIndex2) | v115(constB117)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[5810, 1095, 5343])).
% 135.33/85.99 tff(11918,plain,
% 135.33/85.99 (v115(constB117)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11917, 11916, 6525])).
% 135.33/85.99 tff(11919,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[5790, 945, 11918, 11904])).
% 135.33/85.99 tff(11920,plain,(v110(constB117) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11921,plain,
% 135.33/85.99 (v84(constB117, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11920, 5405, 11902])).
% 135.33/85.99 tff(11922,plain,
% 135.33/85.99 (v84(constB117, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[5386, 11921, 5354])).
% 135.33/85.99 tff(11923,plain,
% 135.33/85.99 (v84(constB116, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[10750, 11921])).
% 135.33/85.99 tff(11924,plain,
% 135.33/85.99 (v94(constB116) | v84(constB115, bitIndex1)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[7937, 805, 823, 7777, 11896])).
% 135.33/85.99 tff(11925,plain,
% 135.33/85.99 (v94(constB116)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11924, 7667])).
% 135.33/85.99 tff(11926,plain,
% 135.33/85.99 ((~v94(constB116)) | v123(constB116, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11628, 1344, 767, 6526])).
% 135.33/85.99 tff(11927,plain,
% 135.33/85.99 (v123(constB116, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11926, 11925])).
% 135.33/85.99 tff(11928,plain,
% 135.33/85.99 (v121(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11865, 11927])).
% 135.33/85.99 tff(11929,plain,
% 135.33/85.99 (v124(constB115, bitIndex2)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11636, 1380, 767, 7803, 11928])).
% 135.33/85.99 tff(11930,plain,
% 135.33/85.99 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB116)) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB116)) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11931,plain,
% 135.33/85.99 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB116)) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11932,plain,
% 135.33/85.99 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB116)) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0)),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11931, 11930])).
% 135.33/85.99 tff(11933,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11932, 1344, 795, 7969, 6552, 7980])).
% 135.33/85.99 tff(11934,plain,((~v84(constB116, bitIndex0)) | (~v94(constB116)) | v123(constB116, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11935,plain,
% 135.33/85.99 (v123(constB116, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11934, 11925, 6552])).
% 135.33/85.99 tff(11936,plain,
% 135.33/85.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v121(constB115, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v121(constB115, bitIndex0))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11937,plain,
% 135.33/85.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v121(constB115, bitIndex0))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11938,plain,
% 135.33/85.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex0)) | (~v123(constB116, bitIndex0)) | v121(constB115, bitIndex0)),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11937, 11936])).
% 135.33/85.99 tff(11939,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11938, 1362, 795, 7777, 7987, 7968])).
% 135.33/85.99 tff(11940,plain,((~v123(constB116, bitIndex0)) | v121(constB115, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11941,plain,
% 135.33/85.99 (v121(constB115, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11940, 11935])).
% 135.33/85.99 tff(11942,plain,
% 135.33/85.99 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11943,plain,
% 135.33/85.99 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0)))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11944,plain,
% 135.33/85.99 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex0)) | v124(constB115, bitIndex0) | (~v121(constB115, bitIndex0))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11943, 11942])).
% 135.33/85.99 tff(11945,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11944, 1380, 795, 7803, 8047, 7979])).
% 135.33/85.99 tff(11946,plain,((~v121(constB115, bitIndex0)) | v124(constB115, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11947,plain,
% 135.33/85.99 (v124(constB115, bitIndex0)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11946, 11941])).
% 135.33/85.99 tff(11948,plain,
% 135.33/85.99 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v172(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v172(constB115)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11949,plain,
% 135.33/85.99 (((~v172(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v172(constB115)))),
% 135.33/85.99 inference(rewrite,[status(thm)],[])).
% 135.33/85.99 tff(11950,plain,
% 135.33/85.99 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v172(constB115))))),
% 135.33/85.99 inference(monotonicity,[status(thm)],[11949])).
% 135.33/85.99 tff(11951,plain,
% 135.33/85.99 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v172(constB115)))),
% 135.33/85.99 inference(transitivity,[status(thm)],[11950, 11948])).
% 135.33/85.99 tff(11952,plain,
% 135.33/85.99 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b110(bitIndex0))),
% 135.33/85.99 inference(quant_inst,[status(thm)],[])).
% 135.33/85.99 tff(11953,plain,
% 135.33/85.99 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v172(constB115))),
% 135.33/85.99 inference(modus_ponens,[status(thm)],[11952, 11951])).
% 135.33/85.99 tff(11954,plain,
% 135.33/85.99 (~v172(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11953, 1997, 1994, 795, 11947])).
% 135.33/85.99 tff(11955,plain,
% 135.33/85.99 ($false),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11643, 2030, 2027, 767, 7674, 8017])).
% 135.33/85.99 tff(11956,plain,((~v124(constB115, bitIndex2)) | (~v118(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/85.99 tff(11957,plain,
% 135.33/85.99 (~v118(constB115)),
% 135.33/85.99 inference(unit_resolution,[status(thm)],[11956, 11929])).
% 135.33/85.99 tff(11958,plain,
% 135.33/85.99 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB115)) | (~v124(constB115, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB115)) | (~v124(constB115, bitIndex0)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(11959,plain,
% 135.33/86.00 (((~v145(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB115)) | (~v124(constB115, bitIndex0)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(11960,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB115)) | (~v124(constB115, bitIndex0))))),
% 135.33/86.00 inference(monotonicity,[status(thm)],[11959])).
% 135.33/86.00 tff(11961,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB115)) | (~v124(constB115, bitIndex0)))),
% 135.33/86.00 inference(transitivity,[status(thm)],[11960, 11958])).
% 135.33/86.00 tff(11962,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b010(bitIndex0))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(11963,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB115)) | (~v124(constB115, bitIndex0))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[11962, 11961])).
% 135.33/86.00 tff(11964,plain,
% 135.33/86.00 (~v145(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11963, 2299, 1416, 795, 11947])).
% 135.33/86.00 tff(11965,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v113(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v113(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(11966,plain,
% 135.33/86.00 (((~v113(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v113(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(11967,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v113(constB115))))),
% 135.33/86.00 inference(monotonicity,[status(thm)],[11966])).
% 135.33/86.00 tff(11968,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v113(constB115)))),
% 135.33/86.00 inference(transitivity,[status(thm)],[11967, 11965])).
% 135.33/86.00 tff(11969,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b100(bitIndex0))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(11970,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v113(constB115))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 135.33/86.00 tff(11971,plain,
% 135.33/86.00 (~v113(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11970, 2386, 2186, 795, 11947])).
% 135.33/86.00 tff(11972,plain,
% 135.33/86.00 (v115(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11766, 2427, 2424, 767, 11971, 11964, 11957, 11954, 11929, 11529])).
% 135.33/86.00 tff(11973,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11650, 2030, 2257, 767, 11972, 11929])).
% 135.33/86.00 tff(11974,plain,(v84(constB115, bitIndex1) | (~v84(constB116, bitIndex2)) | (~v84(constB116, bitIndex0)) | (~v84(constB116, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(11975,plain,
% 135.33/86.00 (~v84(constB116, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11974, 11923, 7667, 11896])).
% 135.33/86.00 tff(11976,assumption,(v84(constB117, bitIndex0)), introduced(assumption)).
% 135.33/86.00 tff(11977,plain,
% 135.33/86.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB116, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB116, bitIndex0))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(11978,plain,
% 135.33/86.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB116, bitIndex0))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(11979,plain,
% 135.33/86.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB116, constB117)) | v94(constB117) | (~less_3(bitIndex0)) | (~v84(constB117, bitIndex0)) | v84(constB116, bitIndex0)),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[11978, 11977])).
% 135.33/86.00 tff(11980,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11979, 805, 795, 6529, 6541, 6559, 11976])).
% 135.33/86.00 tff(11981,plain,((~v84(constB117, bitIndex0)) | v84(constB116, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(11982,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11981, 11975, 11922])).
% 135.33/86.00 tff(11983,plain,(v107(constB117) | v84(constB115, bitIndex1) | (~v84(constB116, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(11984,plain,
% 135.33/86.00 (v107(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11983, 7667, 11895])).
% 135.33/86.00 tff(11985,plain,
% 135.33/86.00 (v106(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5447, 11984])).
% 135.33/86.00 tff(11986,plain,
% 135.33/86.00 (v102(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5451, 619, 11985])).
% 135.33/86.00 tff(11987,plain,
% 135.33/86.00 (v104(constB118)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5462, 11986])).
% 135.33/86.00 tff(11988,plain,
% 135.33/86.00 (v94(constB118)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5488, 11987])).
% 135.33/86.00 tff(11989,plain,
% 135.33/86.00 (v123(constB118, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10693, 11988, 5568])).
% 135.33/86.00 tff(11990,plain,
% 135.33/86.00 (v121(constB117, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10699, 11989])).
% 135.33/86.00 tff(11991,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10703, 1380, 823, 5440, 5528, 5550])).
% 135.33/86.00 tff(11992,plain,(v124(constB117, bitIndex1) | (~v121(constB117, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(11993,plain,
% 135.33/86.00 (v124(constB117, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11992, 11990])).
% 135.33/86.00 tff(11994,plain,
% 135.33/86.00 (~v116(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10726, 11993])).
% 135.33/86.00 tff(11995,plain,
% 135.33/86.00 (v84(constB117, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11901, 11895])).
% 135.33/86.00 tff(11996,plain,
% 135.33/86.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB117, bitIndex1)) | (~v118(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB117, bitIndex1)) | (~v118(constB117)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(11997,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB117, bitIndex1)) | (~v118(constB117)))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(11998,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB117, bitIndex1)) | (~v118(constB117))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[11997, 11996])).
% 135.33/86.00 tff(11999,plain,
% 135.33/86.00 (~v118(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11998, 2842, 11995])).
% 135.33/86.00 tff(12000,plain,
% 135.33/86.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB117, bitIndex1)) | (~v172(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB117, bitIndex1)) | (~v172(constB117)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12001,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB117, bitIndex1)) | (~v172(constB117)))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12002,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB117, bitIndex1)) | (~v172(constB117))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12001, 12000])).
% 135.33/86.00 tff(12003,plain,
% 135.33/86.00 (~v172(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12002, 2289, 11995])).
% 135.33/86.00 tff(12004,plain,
% 135.33/86.00 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB117)) | (~v84(constB117, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB117)) | (~v84(constB117, bitIndex1)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12005,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB117)) | (~v84(constB117, bitIndex1)))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12006,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB117)) | (~v84(constB117, bitIndex1))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12005, 12004])).
% 135.33/86.00 tff(12007,plain,
% 135.33/86.00 (~v113(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12006, 1465, 11995])).
% 135.33/86.00 tff(12008,plain,
% 135.33/86.00 (v123(constB118, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10707, 11988, 5770])).
% 135.33/86.00 tff(12009,plain,
% 135.33/86.00 (v121(constB117, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[6092, 12008])).
% 135.33/86.00 tff(12010,plain,
% 135.33/86.00 (v124(constB117, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10713, 12009])).
% 135.33/86.00 tff(12011,plain,
% 135.33/86.00 (~v115(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10717, 12010])).
% 135.33/86.00 tff(12012,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[6155, 12011, 12010, 12007, 2, 12003, 11999, 11994])).
% 135.33/86.00 tff(12013,plain,(v84(constB115, bitIndex1) | v145(constB117) | (~v84(constB118, bitIndex2)) | (~v84(constB118, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12014,plain,
% 135.33/86.00 (v84(constB115, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12013, 5568, 5770, 2])).
% 135.33/86.00 tff(12015,assumption,(v145(constB115)), introduced(assumption)).
% 135.33/86.00 tff(12016,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7735, 816, 7675, 12015])).
% 135.33/86.00 tff(12017,plain,((~v145(constB115)) | (~v84(constB115, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12018,plain,
% 135.33/86.00 (~v145(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12017, 12014])).
% 135.33/86.00 tff(12019,plain,
% 135.33/86.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v172(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v172(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12020,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB115, bitIndex1)) | (~v172(constB115)))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12021,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB115, bitIndex1)) | (~v172(constB115))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12020, 12019])).
% 135.33/86.00 tff(12022,plain,
% 135.33/86.00 (~v172(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12021, 2289, 12014])).
% 135.33/86.00 tff(12023,plain,
% 135.33/86.00 (~v118(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7680, 12014])).
% 135.33/86.00 tff(12024,plain,
% 135.33/86.00 (~v84(constB117, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11981, 6559])).
% 135.33/86.00 tff(12025,plain,
% 135.33/86.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB118, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB118, bitIndex0)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12026,plain,
% 135.33/86.00 (((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB118, bitIndex0)) | v84(constB117, bitIndex0)) <=> ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB118, bitIndex0)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12027,plain,
% 135.33/86.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB118, bitIndex0)) | v84(constB117, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB118, bitIndex0))))),
% 135.33/86.00 inference(monotonicity,[status(thm)],[12026])).
% 135.33/86.00 tff(12028,plain,
% 135.33/86.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB118, bitIndex0)) | v84(constB117, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB118, bitIndex0)))),
% 135.33/86.00 inference(transitivity,[status(thm)],[12027, 12025])).
% 135.33/86.00 tff(12029,plain,
% 135.33/86.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | (~v84(constB118, bitIndex0)) | v84(constB117, bitIndex0))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12030,plain,
% 135.33/86.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex0)) | v84(constB117, bitIndex0) | (~v84(constB118, bitIndex0))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12029, 12028])).
% 135.33/86.00 tff(12031,plain,
% 135.33/86.00 (v94(constB118) | v84(constB117, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12030, 805, 795, 5455, 5520])).
% 135.33/86.00 tff(12032,plain,
% 135.33/86.00 (v94(constB118)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12031, 12024])).
% 135.33/86.00 tff(12033,plain,
% 135.33/86.00 (v123(constB118, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5526, 12032, 5520])).
% 135.33/86.00 tff(12034,plain,
% 135.33/86.00 (v121(constB117, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5517, 12033])).
% 135.33/86.00 tff(12035,plain,
% 135.33/86.00 (v124(constB117, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5509, 12034])).
% 135.33/86.00 tff(12036,plain,
% 135.33/86.00 (~v172(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[6133, 12035])).
% 135.33/86.00 tff(12037,plain,
% 135.33/86.00 (v84(constB116, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10677, 6559, 6519])).
% 135.33/86.00 tff(12038,plain,
% 135.33/86.00 (~v118(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7680, 7675])).
% 135.33/86.00 tff(12039,plain,
% 135.33/86.00 (v94(constB116) | v84(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11624, 805, 767, 7777, 6526])).
% 135.33/86.00 tff(12040,plain,
% 135.33/86.00 (v94(constB116)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12039, 7682])).
% 135.33/86.00 tff(12041,plain,
% 135.33/86.00 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB116)) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB116)) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12042,plain,
% 135.33/86.00 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB116)) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12043,plain,
% 135.33/86.00 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB116)) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1)),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12042, 12041])).
% 135.33/86.00 tff(12044,plain,
% 135.33/86.00 ((~v94(constB116)) | v123(constB116, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12043, 1344, 823, 11896])).
% 135.33/86.00 tff(12045,plain,
% 135.33/86.00 (v123(constB116, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12044, 12040])).
% 135.33/86.00 tff(12046,plain,
% 135.33/86.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v121(constB115, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v121(constB115, bitIndex1))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12047,plain,
% 135.33/86.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB115, constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v121(constB115, bitIndex1))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12048,plain,
% 135.33/86.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB115, constB116)) | (~less_3(bitIndex1)) | (~v123(constB116, bitIndex1)) | v121(constB115, bitIndex1)),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12047, 12046])).
% 135.33/86.00 tff(12049,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12048, 1362, 823, 7777, 11824, 11829])).
% 135.33/86.00 tff(12050,plain,((~v123(constB116, bitIndex1)) | v121(constB115, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12051,plain,
% 135.33/86.00 (v121(constB115, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12050, 12045])).
% 135.33/86.00 tff(12052,plain,
% 135.33/86.00 (~v123(constB116, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7977, 12040, 6559])).
% 135.33/86.00 tff(12053,plain,
% 135.33/86.00 (~v121(constB115, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7985, 12052])).
% 135.33/86.00 tff(12054,plain,
% 135.33/86.00 (~v124(constB115, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7996, 12053])).
% 135.33/86.00 tff(12055,plain,
% 135.33/86.00 (~v115(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[8065, 12054])).
% 135.33/86.00 tff(12056,plain,
% 135.33/86.00 (v84(constB115, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7956, 12055, 7675, 7766])).
% 135.33/86.00 tff(12057,plain,
% 135.33/86.00 (v116(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11591, 12056, 7675, 7682])).
% 135.33/86.00 tff(12058,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | (~v116(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | (~v116(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12059,plain,
% 135.33/86.00 (((~v116(constB115)) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | (~v116(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12060,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB115)) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | (~v116(constB115))))),
% 135.33/86.00 inference(monotonicity,[status(thm)],[12059])).
% 135.33/86.00 tff(12061,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB115)) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | (~v116(constB115)))),
% 135.33/86.00 inference(transitivity,[status(thm)],[12060, 12058])).
% 135.33/86.00 tff(12062,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB115)) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | b100(bitIndex1))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12063,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | (~v116(constB115))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 135.33/86.00 tff(12064,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12063, 2167, 2164, 823, 11830, 7689])).
% 135.33/86.00 tff(12065,plain,((~v124(constB115, bitIndex1)) | (~v116(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12066,plain,
% 135.33/86.00 (~v124(constB115, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12065, 12057])).
% 135.33/86.00 tff(12067,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex1)) | (~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex1)) | (~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12068,plain,
% 135.33/86.00 ((v26(constB115) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1))) <=> (v26(constB115) | (~less_3(bitIndex1)) | (~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12069,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex1)) | (~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1)))),
% 135.33/86.00 inference(monotonicity,[status(thm)],[12068])).
% 135.33/86.00 tff(12070,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex1)) | (~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1))),
% 135.33/86.00 inference(transitivity,[status(thm)],[12069, 12067])).
% 135.33/86.00 tff(12071,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB115) | (~less_3(bitIndex1)) | v124(constB115, bitIndex1) | (~v121(constB115, bitIndex1)))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12072,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB115) | (~less_3(bitIndex1)) | (~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1)),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12071, 12070])).
% 135.33/86.00 tff(12073,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12072, 1380, 823, 7803, 12066, 12051])).
% 135.33/86.00 tff(12074,plain,(v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | v119(constB115) | (~v84(constB116, bitIndex1)) | v84(constB116, bitIndex0) | (~v84(constB116, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12075,plain,
% 135.33/86.00 (v84(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12074, 7766, 7675, 11896, 6559, 6526])).
% 135.33/86.00 tff(12076,plain,
% 135.33/86.00 (~v116(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7695, 12075])).
% 135.33/86.00 tff(12077,plain,
% 135.33/86.00 (~v113(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7699, 1465, 7675])).
% 135.33/86.00 tff(12078,plain,
% 135.33/86.00 (v119(constB115) | v84(constB115, bitIndex0) | (~v84(constB115, bitIndex2))),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7953, 1910, 7675])).
% 135.33/86.00 tff(12079,plain,
% 135.33/86.00 (v84(constB115, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12078, 12075, 7766])).
% 135.33/86.00 tff(12080,plain,
% 135.33/86.00 (~v109(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7754, 12079, 7675, 12077, 12076])).
% 135.33/86.00 tff(12081,plain,
% 135.33/86.00 (~v108(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7763, 12080, 12038])).
% 135.33/86.00 tff(12082,plain,
% 135.33/86.00 (~v107(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7772, 12081, 7766])).
% 135.33/86.00 tff(12083,plain,
% 135.33/86.00 (v94(constB116)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7785, 12079, 6559])).
% 135.33/86.00 tff(12084,plain,
% 135.33/86.00 (v104(constB116)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7790, 12083])).
% 135.33/86.00 tff(12085,plain,
% 135.33/86.00 (v102(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7798, 12084])).
% 135.33/86.00 tff(12086,plain,
% 135.33/86.00 (v106(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7810, 12085])).
% 135.33/86.00 tff(12087,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7814, 3161, 12086, 12082])).
% 135.33/86.00 tff(12088,plain,(v119(constB115) | v84(constB116, bitIndex0) | (~v84(constB115, bitIndex1)) | (~v84(constB116, bitIndex1)) | (~v84(constB116, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12089,plain,
% 135.33/86.00 (v119(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12088, 7675, 6559, 11896, 6526])).
% 135.33/86.00 tff(12090,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7839, 7833, 7682, 7656])).
% 135.33/86.00 tff(12091,plain,((~v119(constB115)) | v84(constB115, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12092,plain,
% 135.33/86.00 (v84(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12091, 12089])).
% 135.33/86.00 tff(12093,plain,
% 135.33/86.00 (~v116(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7695, 12092])).
% 135.33/86.00 tff(12094,plain,
% 135.33/86.00 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB115) | (~v119(constB115)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB115) | (~v119(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12095,plain,
% 135.33/86.00 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB115) | (~v119(constB115)))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12096,plain,
% 135.33/86.00 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB115) | (~v119(constB115))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 135.33/86.00 tff(12097,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12096, 1927, 7886, 7656])).
% 135.33/86.00 tff(12098,plain,(v107(constB115) | (~v119(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12099,plain,
% 135.33/86.00 (v107(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12098, 12089])).
% 135.33/86.00 tff(12100,plain,
% 135.33/86.00 (v106(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7884, 12099])).
% 135.33/86.00 tff(12101,plain,
% 135.33/86.00 (v102(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7876, 619, 12100])).
% 135.33/86.00 tff(12102,plain,
% 135.33/86.00 (v104(constB116)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7872, 12101])).
% 135.33/86.00 tff(12103,plain,
% 135.33/86.00 (v94(constB116)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7864, 12102])).
% 135.33/86.00 tff(12104,plain,
% 135.33/86.00 (v123(constB116, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11926, 12103])).
% 135.33/86.00 tff(12105,plain,
% 135.33/86.00 (v121(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11865, 12104])).
% 135.33/86.00 tff(12106,plain,
% 135.33/86.00 (v124(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11636, 1380, 767, 7803, 12105])).
% 135.33/86.00 tff(12107,plain,
% 135.33/86.00 (~v172(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12021, 2289, 7675])).
% 135.33/86.00 tff(12108,plain,
% 135.33/86.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v115(constB115)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB115, bitIndex2)) | (~v115(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12109,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB115, bitIndex2)) | (~v115(constB115)))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12110,plain,
% 135.33/86.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB115, bitIndex2)) | (~v115(constB115))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12109, 12108])).
% 135.33/86.00 tff(12111,plain,
% 135.33/86.00 (~v115(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12110, 2665, 12092])).
% 135.33/86.00 tff(12112,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11766, 2427, 2424, 767, 12077, 12111, 7736, 12038, 12107, 12106, 12093])).
% 135.33/86.00 tff(12113,plain,((~v84(constB115, bitIndex1)) | (~v84(constB116, bitIndex2)) | v84(constB116, bitIndex0) | (~v84(constB116, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12114,plain,
% 135.33/86.00 (~v84(constB116, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12113, 6559, 7675, 12037])).
% 135.33/86.00 tff(12115,plain,
% 135.33/86.00 (~v84(constB117, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11844, 12114])).
% 135.33/86.00 tff(12116,plain,
% 135.33/86.00 (v84(constB117, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[6546, 12037])).
% 135.33/86.00 tff(12117,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5371, 1047, 12116, 12024, 12115, 12036])).
% 135.33/86.00 tff(12118,plain,(v84(constB116, bitIndex0) | (~v84(constB118, bitIndex0)) | (~v84(constB115, bitIndex1)) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12119,plain,
% 135.33/86.00 (v84(constB116, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12118, 11523, 5520, 12014])).
% 135.33/86.00 tff(12120,plain,
% 135.33/86.00 (~v113(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10679, 11523])).
% 135.33/86.00 tff(12121,plain,
% 135.33/86.00 (v84(constB117, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10741, 12120, 5770, 5568])).
% 135.33/86.00 tff(12122,plain,
% 135.33/86.00 (v84(constB116, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[10750, 12121])).
% 135.33/86.00 tff(12123,plain,
% 135.33/86.00 (v123(constB116, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11926, 12040])).
% 135.33/86.00 tff(12124,plain,
% 135.33/86.00 (v121(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11865, 12123])).
% 135.33/86.00 tff(12125,plain,
% 135.33/86.00 (v124(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11636, 1380, 767, 7803, 12124])).
% 135.33/86.00 tff(12126,plain,
% 135.33/86.00 (v123(constB116, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11934, 12040, 6552])).
% 135.33/86.00 tff(12127,plain,
% 135.33/86.00 (v121(constB115, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11940, 12126])).
% 135.33/86.00 tff(12128,plain,
% 135.33/86.00 (v124(constB115, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11946, 12127])).
% 135.33/86.00 tff(12129,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v116(constB115)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v116(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12130,plain,
% 135.33/86.00 (((~v116(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v116(constB115)))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12131,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v116(constB115))))),
% 135.33/86.00 inference(monotonicity,[status(thm)],[12130])).
% 135.33/86.00 tff(12132,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v116(constB115)))),
% 135.33/86.00 inference(transitivity,[status(thm)],[12131, 12129])).
% 135.33/86.00 tff(12133,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB115)) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | b100(bitIndex0))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12134,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB115, bitIndex0)) | (~v116(constB115))),
% 135.33/86.00 inference(modus_ponens,[status(thm)],[12133, 12132])).
% 135.33/86.00 tff(12135,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12134, 2386, 2164, 795, 7689, 7988])).
% 135.33/86.00 tff(12136,plain,((~v124(constB115, bitIndex0)) | (~v116(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12137,plain,
% 135.33/86.00 (~v116(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12136, 12128])).
% 135.33/86.00 tff(12138,plain,
% 135.33/86.00 (~v84(constB115, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11591, 12137, 7682, 7675])).
% 135.33/86.00 tff(12139,plain,
% 135.33/86.00 (v84(constB115, bitIndex0) | v84(constB115, bitIndex2) | v115(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7945, 1095, 7675])).
% 135.33/86.00 tff(12140,plain,
% 135.33/86.00 (v115(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12139, 12138, 7682])).
% 135.33/86.00 tff(12141,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11650, 2030, 2257, 767, 12140, 12125])).
% 135.33/86.00 tff(12142,plain,(v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB116, bitIndex2)) | (~v84(constB116, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12143,plain,
% 135.33/86.00 (v84(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12142, 12122, 12119, 12014])).
% 135.33/86.00 tff(12144,plain,
% 135.33/86.00 (~v116(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7695, 7690])).
% 135.33/86.00 tff(12145,plain,
% 135.33/86.00 (v84(constB115, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11894, 7908, 2])).
% 135.33/86.00 tff(12146,plain,
% 135.33/86.00 (~v118(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[7680, 12145])).
% 135.33/86.00 tff(12147,plain,
% 135.33/86.00 (~v123(constB116, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[8006, 11823, 7818])).
% 135.33/86.00 tff(12148,plain,
% 135.33/86.00 (~v121(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[8014, 12147])).
% 135.33/86.00 tff(12149,plain,
% 135.33/86.00 (~v124(constB115, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[8025, 12148])).
% 135.33/86.00 tff(12150,plain,
% 135.33/86.00 (~v113(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[8075, 12149])).
% 135.33/86.00 tff(12151,plain,
% 135.33/86.00 (~v116(constB115)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[8035, 12149])).
% 135.33/86.00 tff(12152,plain,
% 135.33/86.00 ($false),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[11861, 12151, 12150, 2, 7818, 12146, 11823, 7908])).
% 135.33/86.00 tff(12153,plain,(v84(constB116, bitIndex1) | v145(constB117) | v84(constB116, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.00 tff(12154,plain,
% 135.33/86.00 (v84(constB116, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12153, 7908, 2])).
% 135.33/86.00 tff(12155,plain,
% 135.33/86.00 (v84(constB117, bitIndex2)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[6546, 12154])).
% 135.33/86.00 tff(12156,plain,
% 135.33/86.00 (v107(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5400, 5355, 5353])).
% 135.33/86.00 tff(12157,plain,
% 135.33/86.00 (v106(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5447, 12156])).
% 135.33/86.00 tff(12158,plain,
% 135.33/86.00 (v102(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5451, 619, 12157])).
% 135.33/86.00 tff(12159,plain,
% 135.33/86.00 (v104(constB118)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5462, 12158])).
% 135.33/86.00 tff(12160,plain,
% 135.33/86.00 (v94(constB118)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5488, 12159])).
% 135.33/86.00 tff(12161,plain,
% 135.33/86.00 (~v123(constB118, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5564, 1674, 823, 12160, 5558])).
% 135.33/86.00 tff(12162,plain,
% 135.33/86.00 (~v121(constB117, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5553, 1708, 823, 5455, 12161])).
% 135.33/86.00 tff(12163,plain,
% 135.33/86.00 (~v124(constB117, bitIndex1)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5545, 1728, 823, 5440, 12162])).
% 135.33/86.00 tff(12164,plain,
% 135.33/86.00 (v124(constB117, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5507, 1380, 795, 5440, 5501])).
% 135.33/86.00 tff(12165,plain,
% 135.33/86.00 (~v172(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[6131, 1997, 1994, 795, 12164])).
% 135.33/86.00 tff(12166,plain,
% 135.33/86.00 (v84(constB117, bitIndex0) | v172(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5371, 1047, 5355, 5353])).
% 135.33/86.00 tff(12167,plain,
% 135.33/86.00 (v84(constB117, bitIndex0)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12166, 12165])).
% 135.33/86.00 tff(12168,plain,
% 135.33/86.00 ((~v84(constB117, bitIndex0)) | v118(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[5397, 1018, 5355, 5353])).
% 135.33/86.00 tff(12169,plain,
% 135.33/86.00 (v118(constB117)),
% 135.33/86.00 inference(unit_resolution,[status(thm)],[12168, 12167])).
% 135.33/86.00 tff(12170,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB117)) | v124(constB117, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB117)) | v124(constB117, bitIndex1))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12171,plain,
% 135.33/86.00 (((~v118(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB117)) | v124(constB117, bitIndex1))),
% 135.33/86.00 inference(rewrite,[status(thm)],[])).
% 135.33/86.00 tff(12172,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB117)) | v124(constB117, bitIndex1)))),
% 135.33/86.00 inference(monotonicity,[status(thm)],[12171])).
% 135.33/86.00 tff(12173,plain,
% 135.33/86.00 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB117)) | v124(constB117, bitIndex1))),
% 135.33/86.00 inference(transitivity,[status(thm)],[12172, 12170])).
% 135.33/86.00 tff(12174,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b011(bitIndex1)))),
% 135.33/86.00 inference(quant_inst,[status(thm)],[])).
% 135.33/86.00 tff(12175,plain,
% 135.33/86.00 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB117)) | v124(constB117, bitIndex1)),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12174, 12173])).
% 135.33/86.01 tff(12176,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12175, 3033, 1145, 823, 12169, 12163])).
% 135.33/86.01 tff(12177,plain,((~v121(constB117, bitIndex0)) | (~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB118, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12178,plain,
% 135.33/86.01 (~v121(constB117, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12177, 5558, 5353, 5355])).
% 135.33/86.01 tff(12179,plain,
% 135.33/86.01 (~v124(constB117, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[5836, 1728, 795, 5440, 12178])).
% 135.33/86.01 tff(12180,plain,
% 135.33/86.01 (~v118(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[5883, 1148, 1145, 795, 12179])).
% 135.33/86.01 tff(12181,plain,
% 135.33/86.01 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB117, bitIndex2)) | (~v115(constB117)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12182,plain,
% 135.33/86.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v115(constB117)))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12183,plain,
% 135.33/86.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB117, bitIndex2)) | (~v115(constB117))),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12182, 12181])).
% 135.33/86.01 tff(12184,plain,
% 135.33/86.01 (~v115(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12183, 2665, 5355])).
% 135.33/86.01 tff(12185,plain,
% 135.33/86.01 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v116(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB117, bitIndex2)) | (~v116(constB117)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12186,plain,
% 135.33/86.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v116(constB117)))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12187,plain,
% 135.33/86.01 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB117, bitIndex2)) | (~v116(constB117))),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 135.33/86.01 tff(12188,plain,
% 135.33/86.01 (~v116(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12187, 1130, 5355])).
% 135.33/86.01 tff(12189,plain,
% 135.33/86.01 (~v113(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[6523, 1119, 5355])).
% 135.33/86.01 tff(12190,plain,
% 135.33/86.01 (v118(constB117) | v172(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[5897, 1213, 1210, 795, 2, 12189, 12188, 12184, 12179])).
% 135.33/86.01 tff(12191,plain,
% 135.33/86.01 (v172(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12190, 12180])).
% 135.33/86.01 tff(12192,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB117)) | v124(constB117, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB117)) | v124(constB117, bitIndex1))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12193,plain,
% 135.33/86.01 (((~v172(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB117)) | v124(constB117, bitIndex1))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12194,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB117)) | v124(constB117, bitIndex1)))),
% 135.33/86.01 inference(monotonicity,[status(thm)],[12193])).
% 135.33/86.01 tff(12195,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB117)) | v124(constB117, bitIndex1))),
% 135.33/86.01 inference(transitivity,[status(thm)],[12194, 12192])).
% 135.33/86.01 tff(12196,plain,
% 135.33/86.01 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB117)) | (~less_3(bitIndex1)) | v124(constB117, bitIndex1) | (~b110(bitIndex1)))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12197,plain,
% 135.33/86.01 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB117)) | v124(constB117, bitIndex1)),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12196, 12195])).
% 135.33/86.01 tff(12198,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12197, 1801, 1798, 823, 12191, 12163])).
% 135.33/86.01 tff(12199,plain,(v84(constB118, bitIndex1) | v145(constB117) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12200,plain,
% 135.33/86.01 (v84(constB118, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12199, 12155, 2, 11845])).
% 135.33/86.01 tff(12201,plain,
% 135.33/86.01 (v84(constB116, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11822, 7774])).
% 135.33/86.01 tff(12202,plain,
% 135.33/86.01 (~v84(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12113, 12201, 6559, 6526])).
% 135.33/86.01 tff(12203,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7937, 805, 823, 7777, 7774, 12201, 12202])).
% 135.33/86.01 tff(12204,plain,(v94(constB116) | v84(constB116, bitIndex0) | (~v84(constB116, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12205,plain,
% 135.33/86.01 (v94(constB116)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12204, 12037, 6559])).
% 135.33/86.01 tff(12206,plain,
% 135.33/86.01 (v123(constB116, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11628, 1344, 767, 12205, 12037])).
% 135.33/86.01 tff(12207,plain,
% 135.33/86.01 (v121(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11865, 12206])).
% 135.33/86.01 tff(12208,plain,
% 135.33/86.01 (v124(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11636, 1380, 767, 7803, 12207])).
% 135.33/86.01 tff(12209,plain,
% 135.33/86.01 (~v123(constB116, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11826, 12114, 12205])).
% 135.33/86.01 tff(12210,plain,
% 135.33/86.01 (~v121(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11544, 12209])).
% 135.33/86.01 tff(12211,plain,
% 135.33/86.01 (~v124(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11832, 12210])).
% 135.33/86.01 tff(12212,plain,
% 135.33/86.01 (~v172(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11670, 12211])).
% 135.33/86.01 tff(12213,plain,
% 135.33/86.01 (~v115(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12183, 2665, 12116])).
% 135.33/86.01 tff(12214,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11963, 2299, 1416, 795, 12015, 7988])).
% 135.33/86.01 tff(12215,plain,((~v124(constB115, bitIndex0)) | (~v145(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12216,plain,
% 135.33/86.01 (~v124(constB115, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12215, 12015])).
% 135.33/86.01 tff(12217,plain,
% 135.33/86.01 (~v121(constB115, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11946, 12216])).
% 135.33/86.01 tff(12218,plain,
% 135.33/86.01 (~v123(constB116, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11940, 12217])).
% 135.33/86.01 tff(12219,plain,
% 135.33/86.01 (~v84(constB116, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11934, 12218, 7969])).
% 135.33/86.01 tff(12220,plain,
% 135.33/86.01 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB117)) | v84(constB117, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB117)) | v84(constB117, bitIndex0))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12221,plain,
% 135.33/86.01 ((v84(constB117, bitIndex0) | (~v145(constB117))) <=> ((~v145(constB117)) | v84(constB117, bitIndex0))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12222,plain,
% 135.33/86.01 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB117, bitIndex0) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB117)) | v84(constB117, bitIndex0)))),
% 135.33/86.01 inference(monotonicity,[status(thm)],[12221])).
% 135.33/86.01 tff(12223,plain,
% 135.33/86.01 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB117, bitIndex0) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB117)) | v84(constB117, bitIndex0))),
% 135.33/86.01 inference(transitivity,[status(thm)],[12222, 12220])).
% 135.33/86.01 tff(12224,plain,
% 135.33/86.01 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB117, bitIndex0) | (~v145(constB117)))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12225,plain,
% 135.33/86.01 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB117)) | v84(constB117, bitIndex0)),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12224, 12223])).
% 135.33/86.01 tff(12226,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12225, 788, 5342, 5356])).
% 135.33/86.01 tff(12227,plain,((~v145(constB117)) | v84(constB117, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12228,plain,
% 135.33/86.01 (~v145(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12227, 12024])).
% 135.33/86.01 tff(12229,plain,
% 135.33/86.01 (~v123(constB116, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[8006, 7967, 7818])).
% 135.33/86.01 tff(12230,plain,
% 135.33/86.01 (~v121(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[8014, 12229])).
% 135.33/86.01 tff(12231,plain,
% 135.33/86.01 (~v124(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[8025, 12230])).
% 135.33/86.01 tff(12232,plain,
% 135.33/86.01 (~v113(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[8075, 12231])).
% 135.33/86.01 tff(12233,plain,
% 135.33/86.01 (v84(constB117, bitIndex2) | (~v84(constB117, bitIndex1))),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[5810, 1095, 12024, 6143])).
% 135.33/86.01 tff(12234,plain,
% 135.33/86.01 (~v84(constB117, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12233, 11846])).
% 135.33/86.01 tff(12235,plain,
% 135.33/86.01 (~v84(constB116, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11901, 12234])).
% 135.33/86.01 tff(12236,plain,
% 135.33/86.01 (v84(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11894, 12235, 12228])).
% 135.33/86.01 tff(12237,plain,
% 135.33/86.01 (~v118(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7680, 12236])).
% 135.33/86.01 tff(12238,plain,
% 135.33/86.01 (~v116(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[8035, 12231])).
% 135.33/86.01 tff(12239,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11861, 12238, 12237, 7818, 12235, 12232, 7967, 12228])).
% 135.33/86.01 tff(12240,plain,(v84(constB116, bitIndex2) | v115(constB117) | v84(constB116, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12241,plain,
% 135.33/86.01 (v84(constB116, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12240, 12219, 6143])).
% 135.33/86.01 tff(12242,plain,
% 135.33/86.01 (v123(constB116, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11628, 1344, 767, 7969, 12241])).
% 135.33/86.01 tff(12243,plain,
% 135.33/86.01 (v121(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11865, 12242])).
% 135.33/86.01 tff(12244,plain,
% 135.33/86.01 (v124(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11636, 1380, 767, 7803, 12243])).
% 135.33/86.01 tff(12245,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11657, 1419, 1416, 767, 12015, 12244])).
% 135.33/86.01 tff(12246,plain,((~v145(constB115)) | (~v94(constB116)) | v115(constB117)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12247,plain,
% 135.33/86.01 (~v145(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12246, 12213, 12205])).
% 135.33/86.01 tff(12248,plain,
% 135.33/86.01 (~v123(constB116, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7977, 12205, 6559])).
% 135.33/86.01 tff(12249,plain,
% 135.33/86.01 (~v121(constB115, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7985, 12248])).
% 135.33/86.01 tff(12250,plain,
% 135.33/86.01 (~v124(constB115, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7996, 12249])).
% 135.33/86.01 tff(12251,plain,
% 135.33/86.01 (~v115(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[8065, 12250])).
% 135.33/86.01 tff(12252,plain,
% 135.33/86.01 (v84(constB114, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11759, 8067])).
% 135.33/86.01 tff(12253,plain,
% 135.33/86.01 (~v84(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11892, 8067])).
% 135.33/86.01 tff(12254,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7687, 12253, 12252])).
% 135.33/86.01 tff(12255,plain,(~v113(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12256,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11766, 2427, 2424, 767, 12255, 12251, 12247, 12038, 12212, 12208, 7724])).
% 135.33/86.01 tff(12257,plain,(v84(constB116, bitIndex0) | v116(constB115) | (~v84(constB115, bitIndex1)) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12258,plain,
% 135.33/86.01 (v84(constB116, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12257, 12145, 7724, 6519])).
% 135.33/86.01 tff(12259,plain,
% 135.33/86.01 (v84(constB117, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[6557, 12258])).
% 135.33/86.01 tff(12260,plain,
% 135.33/86.01 (v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)) | v118(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[5397, 1018, 11976])).
% 135.33/86.01 tff(12261,plain,
% 135.33/86.01 (v118(constB117)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12260, 5353, 5355])).
% 135.33/86.01 tff(12262,plain,
% 135.33/86.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB118, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB118, bitIndex1)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12263,plain,
% 135.33/86.01 (((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | (~v84(constB118, bitIndex1)) | v84(constB117, bitIndex1)) <=> ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB118, bitIndex1)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12264,plain,
% 135.33/86.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | (~v84(constB118, bitIndex1)) | v84(constB117, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB118, bitIndex1))))),
% 135.33/86.01 inference(monotonicity,[status(thm)],[12263])).
% 135.33/86.01 tff(12265,plain,
% 135.33/86.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | (~v84(constB118, bitIndex1)) | v84(constB117, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB118, bitIndex1)))),
% 135.33/86.01 inference(transitivity,[status(thm)],[12264, 12262])).
% 135.33/86.01 tff(12266,plain,
% 135.33/86.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | (~v84(constB118, bitIndex1)) | v84(constB117, bitIndex1))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12267,plain,
% 135.33/86.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB117, constB118)) | v94(constB118) | (~less_3(bitIndex1)) | v84(constB117, bitIndex1) | (~v84(constB118, bitIndex1))),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12266, 12265])).
% 135.33/86.01 tff(12268,plain,
% 135.33/86.01 (v94(constB118) | v84(constB117, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12267, 805, 823, 5455, 5568])).
% 135.33/86.01 tff(12269,plain,
% 135.33/86.01 (v94(constB118)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12268, 5353])).
% 135.33/86.01 tff(12270,plain,
% 135.33/86.01 (v123(constB118, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[10707, 12269, 5770])).
% 135.33/86.01 tff(12271,plain,
% 135.33/86.01 (v121(constB117, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[6092, 12270])).
% 135.33/86.01 tff(12272,plain,
% 135.33/86.01 (v124(constB117, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[10713, 12271])).
% 135.33/86.01 tff(12273,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[6123, 2030, 2027, 767, 12272, 12261])).
% 135.33/86.01 tff(12274,plain,(v84(constB117, bitIndex1) | (~v84(constB118, bitIndex2)) | (~v84(constB117, bitIndex2)) | (~v84(constB117, bitIndex0)) | (~v84(constB118, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12275,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12274, 12259, 12155, 11845, 5770, 12200])).
% 135.33/86.01 tff(12276,plain,(v84(constB116, bitIndex1) | (~v84(constB118, bitIndex2)) | v145(constB117) | v116(constB115) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12277,plain,
% 135.33/86.01 (v84(constB116, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12276, 12144, 6519, 2, 5770])).
% 135.33/86.01 tff(12278,plain,
% 135.33/86.01 (v123(constB116, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12043, 1344, 823, 7969, 12277])).
% 135.33/86.01 tff(12279,plain,
% 135.33/86.01 (v121(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12050, 12278])).
% 135.33/86.01 tff(12280,plain,
% 135.33/86.01 (v104(constB116)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7790, 7969])).
% 135.33/86.01 tff(12281,plain,
% 135.33/86.01 (v102(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7798, 12280])).
% 135.33/86.01 tff(12282,plain,
% 135.33/86.01 (v106(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7810, 12281])).
% 135.33/86.01 tff(12283,plain,
% 135.33/86.01 (v107(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7814, 3161, 12282])).
% 135.33/86.01 tff(12284,plain,
% 135.33/86.01 (~v115(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12110, 2665, 7690])).
% 135.33/86.01 tff(12285,plain,
% 135.33/86.01 (~v112(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7743, 2894, 12255, 11571])).
% 135.33/86.01 tff(12286,plain,
% 135.33/86.01 (v115(constB115) | (~v111(constB115))),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7752, 2911, 12285])).
% 135.33/86.01 tff(12287,plain,
% 135.33/86.01 (~v111(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12286, 12284])).
% 135.33/86.01 tff(12288,plain,
% 135.33/86.01 (~v110(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7727, 2932, 12144, 12287])).
% 135.33/86.01 tff(12289,plain,
% 135.33/86.01 (~v109(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7722, 12288, 7714])).
% 135.33/86.01 tff(12290,plain,
% 135.33/86.01 (~v108(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7763, 12289, 7758])).
% 135.33/86.01 tff(12291,plain,
% 135.33/86.01 (~v119(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12091, 7682])).
% 135.33/86.01 tff(12292,plain,
% 135.33/86.01 (~v84(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11815, 7765, 7667])).
% 135.33/86.01 tff(12293,plain,
% 135.33/86.01 (v84(constB115, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11775, 7667, 7682, 7737])).
% 135.33/86.01 tff(12294,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11800, 12293, 7667, 7765])).
% 135.33/86.01 tff(12295,plain,(v84(constB115, bitIndex1) | v108(constB115) | v84(constB115, bitIndex2) | v113(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12296,plain,
% 135.33/86.01 (v113(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12295, 7765, 7667, 12292])).
% 135.33/86.01 tff(12297,plain,
% 135.33/86.01 (~v84(constB114, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7687, 12292])).
% 135.33/86.01 tff(12298,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11759, 12297, 12296])).
% 135.33/86.01 tff(12299,plain,(v108(constB115) | v84(constB115, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12300,plain,
% 135.33/86.01 (v84(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12299, 7765])).
% 135.33/86.01 tff(12301,plain,
% 135.33/86.01 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB115) | (~v116(constB115)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB115) | (~v116(constB115)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12302,plain,
% 135.33/86.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB115) | (~v116(constB115)))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12303,plain,
% 135.33/86.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB115) | (~v116(constB115))),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12302, 12301])).
% 135.33/86.01 tff(12304,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12303, 934, 7713, 7689])).
% 135.33/86.01 tff(12305,plain,((~v116(constB115)) | v110(constB115)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12306,plain,
% 135.33/86.01 (~v116(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12305, 11783])).
% 135.33/86.01 tff(12307,plain,
% 135.33/86.01 (~v84(constB115, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11591, 12306, 7682, 12300])).
% 135.33/86.01 tff(12308,plain,
% 135.33/86.01 (v115(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7956, 12307, 12300, 12291])).
% 135.33/86.01 tff(12309,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7960, 945, 12308, 11784])).
% 135.33/86.01 tff(12310,plain,(v108(constB115) | v84(constB115, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12311,plain,
% 135.33/86.01 (v84(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12310, 7765])).
% 135.33/86.01 tff(12312,plain,
% 135.33/86.01 (v119(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7772, 7765, 7767])).
% 135.33/86.01 tff(12313,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12091, 12292, 12312])).
% 135.33/86.01 tff(12314,plain,(v108(constB115) | v84(constB115, bitIndex1) | (~v107(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12315,plain,
% 135.33/86.01 (v84(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12314, 7765, 7767])).
% 135.33/86.01 tff(12316,plain,
% 135.33/86.01 (~v118(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7680, 12315])).
% 135.33/86.01 tff(12317,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB115) | (~v124(constB115, bitIndex1)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB115) | (~v124(constB115, bitIndex1)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12318,plain,
% 135.33/86.01 ((v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB115) | (~v124(constB115, bitIndex1)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12319,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB115) | (~v124(constB115, bitIndex1)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115)))),
% 135.33/86.01 inference(monotonicity,[status(thm)],[12318])).
% 135.33/86.01 tff(12320,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB115) | (~v124(constB115, bitIndex1)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115))),
% 135.33/86.01 inference(transitivity,[status(thm)],[12319, 12317])).
% 135.33/86.01 tff(12321,plain,
% 135.33/86.01 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB115) | v145(constB115) | v115(constB115) | v116(constB115) | v172(constB115) | v118(constB115) | (~less_3(bitIndex1)) | (~v124(constB115, bitIndex1)) | b001(bitIndex1))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12322,plain,
% 135.33/86.01 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB115) | (~v124(constB115, bitIndex1)) | v118(constB115) | v172(constB115) | v116(constB115) | v115(constB115) | v113(constB115)),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 135.33/86.01 tff(12323,plain,
% 135.33/86.01 (v118(constB115) | v115(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12322, 2601, 2424, 823, 12255, 11571, 7714, 11830, 7724])).
% 135.33/86.01 tff(12324,plain,
% 135.33/86.01 (v115(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12323, 12316])).
% 135.33/86.01 tff(12325,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12110, 2665, 12324, 12311])).
% 135.33/86.01 tff(12326,plain,(v108(constB115) | v145(constB115) | v172(constB115) | (~v124(constB115, bitIndex1)) | v116(constB115) | (~v107(constB115))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12327,plain,
% 135.33/86.01 (~v124(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12326, 12290, 12283, 11571, 12144, 7714])).
% 135.33/86.01 tff(12328,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12072, 1380, 823, 7803, 12327, 12279])).
% 135.33/86.01 tff(12329,plain,((~v84(constB115, bitIndex2)) | v145(constB115) | v172(constB115) | v118(constB115) | (~v94(constB116)) | v145(constB105) | v145(constB117) | (~v84(constB118, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12330,plain,
% 135.33/86.01 (~v94(constB116)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12329, 12143, 12023, 12022, 12018, 11523, 2, 5770])).
% 135.33/86.01 tff(12331,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7824, 777, 767, 7777, 7774, 7818, 7690])).
% 135.33/86.01 tff(12332,plain,(v84(constB116, bitIndex2) | v94(constB116) | (~v84(constB115, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12333,plain,
% 135.33/86.01 (~v84(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12332, 7774, 7818])).
% 135.33/86.01 tff(12334,plain,
% 135.33/86.01 (v108(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12310, 12333])).
% 135.33/86.01 tff(12335,plain,
% 135.33/86.01 (v107(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11818, 12334])).
% 135.33/86.01 tff(12336,plain,
% 135.33/86.01 (v106(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7884, 12335])).
% 135.33/86.01 tff(12337,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[7876, 619, 7873, 12336])).
% 135.33/86.01 tff(12338,plain,(v94(constB116) | v84(constB116, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12339,plain,
% 135.33/86.01 (v84(constB116, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12338, 7774])).
% 135.33/86.01 tff(12340,plain,
% 135.33/86.01 (v84(constB116, bitIndex0)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12204, 7774, 12339])).
% 135.33/86.01 tff(12341,plain,
% 135.33/86.01 (v84(constB115, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[11974, 12340, 12339, 12201])).
% 135.33/86.01 tff(12342,plain,
% 135.33/86.01 (v84(constB115, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12142, 12340, 12339, 12341])).
% 135.33/86.01 tff(12343,plain,
% 135.33/86.01 (~v115(constB115)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12110, 2665, 12342])).
% 135.33/86.01 tff(12344,plain,
% 135.33/86.01 (v84(constB110, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[10496, 6723, 6519])).
% 135.33/86.01 tff(12345,plain,
% 135.33/86.01 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB110)) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB110)) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12346,plain,
% 135.33/86.01 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB110)) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12347,plain,
% 135.33/86.01 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB110)) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1)),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 135.33/86.01 tff(12348,plain,
% 135.33/86.01 ((~v94(constB110)) | v123(constB110, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12347, 1344, 823, 6987])).
% 135.33/86.01 tff(12349,plain,
% 135.33/86.01 (v123(constB110, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12348, 8830])).
% 135.33/86.01 tff(12350,plain,
% 135.33/86.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v121(constB109, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v121(constB109, bitIndex1))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12351,plain,
% 135.33/86.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v121(constB109, bitIndex1))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12352,plain,
% 135.33/86.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex1)) | (~v123(constB110, bitIndex1)) | v121(constB109, bitIndex1)),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12351, 12350])).
% 135.33/86.01 tff(12353,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12352, 1362, 823, 6752, 10477, 8831])).
% 135.33/86.01 tff(12354,plain,((~v123(constB110, bitIndex1)) | v121(constB109, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12355,plain,
% 135.33/86.01 (v121(constB109, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12354, 12349])).
% 135.33/86.01 tff(12356,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12357,plain,
% 135.33/86.01 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1)))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12358,plain,
% 135.33/86.01 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex1)) | v124(constB109, bitIndex1) | (~v121(constB109, bitIndex1))),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12357, 12356])).
% 135.33/86.01 tff(12359,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12358, 1380, 823, 6903, 9962, 10489])).
% 135.33/86.01 tff(12360,plain,((~v121(constB109, bitIndex1)) | v124(constB109, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12361,plain,
% 135.33/86.01 (v124(constB109, bitIndex1)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12360, 12355])).
% 135.33/86.01 tff(12362,plain,
% 135.33/86.01 (v123(constB110, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[10630, 8830, 6922])).
% 135.33/86.01 tff(12363,plain,
% 135.33/86.01 (v121(constB109, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[10638, 12362])).
% 135.33/86.01 tff(12364,plain,
% 135.33/86.01 (v124(constB109, bitIndex2)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[10617, 12363])).
% 135.33/86.01 tff(12365,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB109)) | (~v124(constB109, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB109)) | (~v124(constB109, bitIndex2)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12366,plain,
% 135.33/86.01 (((~v115(constB109)) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB109)) | (~v124(constB109, bitIndex2)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12367,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB109)) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB109)) | (~v124(constB109, bitIndex2))))),
% 135.33/86.01 inference(monotonicity,[status(thm)],[12366])).
% 135.33/86.01 tff(12368,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB109)) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB109)) | (~v124(constB109, bitIndex2)))),
% 135.33/86.01 inference(transitivity,[status(thm)],[12367, 12365])).
% 135.33/86.01 tff(12369,plain,
% 135.33/86.01 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB109)) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b011(bitIndex2))),
% 135.33/86.01 inference(quant_inst,[status(thm)],[])).
% 135.33/86.01 tff(12370,plain,
% 135.33/86.01 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB109)) | (~v124(constB109, bitIndex2))),
% 135.33/86.01 inference(modus_ponens,[status(thm)],[12369, 12368])).
% 135.33/86.01 tff(12371,plain,
% 135.33/86.01 ($false),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12370, 2030, 2257, 767, 9963, 10600])).
% 135.33/86.01 tff(12372,plain,((~v124(constB109, bitIndex2)) | (~v115(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.01 tff(12373,plain,
% 135.33/86.01 (~v115(constB109)),
% 135.33/86.01 inference(unit_resolution,[status(thm)],[12372, 12364])).
% 135.33/86.01 tff(12374,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB109)) | (~v124(constB109, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB109)) | (~v124(constB109, bitIndex2)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12375,plain,
% 135.33/86.01 (((~v145(constB109)) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB109)) | (~v124(constB109, bitIndex2)))),
% 135.33/86.01 inference(rewrite,[status(thm)],[])).
% 135.33/86.01 tff(12376,plain,
% 135.33/86.01 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB109)) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB109)) | (~v124(constB109, bitIndex2))))),
% 135.33/86.02 inference(monotonicity,[status(thm)],[12375])).
% 135.33/86.02 tff(12377,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB109)) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB109)) | (~v124(constB109, bitIndex2)))),
% 135.33/86.02 inference(transitivity,[status(thm)],[12376, 12374])).
% 135.33/86.02 tff(12378,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB109)) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)) | b010(bitIndex2))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12379,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB109)) | (~v124(constB109, bitIndex2))),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12378, 12377])).
% 135.33/86.02 tff(12380,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12379, 1419, 1416, 767, 10352, 10600])).
% 135.33/86.02 tff(12381,plain,((~v124(constB109, bitIndex2)) | (~v145(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12382,plain,
% 135.33/86.02 (~v145(constB109)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12381, 12364])).
% 135.33/86.02 tff(12383,plain,
% 135.33/86.02 (v84(constB109, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10092, 6723, 6505, 8804])).
% 135.33/86.02 tff(12384,plain,
% 135.33/86.02 (v84(constB109, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10363, 12383, 6723, 8770])).
% 135.33/86.02 tff(12385,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8817, 1076, 12384, 6723, 12383, 10599])).
% 135.33/86.02 tff(12386,plain,(v84(constB109, bitIndex2) | v116(constB109) | v145(constB109) | (~v94(constB108)) | v115(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12387,plain,
% 135.33/86.02 (v116(constB109)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12386, 12382, 6505, 6723, 12373])).
% 135.33/86.02 tff(12388,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB109)) | (~v124(constB109, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB109)) | (~v124(constB109, bitIndex1)))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12389,plain,
% 135.33/86.02 (((~v116(constB109)) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB109)) | (~v124(constB109, bitIndex1)))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12390,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB109)) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB109)) | (~v124(constB109, bitIndex1))))),
% 135.33/86.02 inference(monotonicity,[status(thm)],[12389])).
% 135.33/86.02 tff(12391,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB109)) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB109)) | (~v124(constB109, bitIndex1)))),
% 135.33/86.02 inference(transitivity,[status(thm)],[12390, 12388])).
% 135.33/86.02 tff(12392,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB109)) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)) | b100(bitIndex1))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12393,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB109)) | (~v124(constB109, bitIndex1))),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12392, 12391])).
% 135.33/86.02 tff(12394,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12393, 2167, 2164, 823, 12387, 12361])).
% 135.33/86.02 tff(12395,plain,(v84(constB109, bitIndex2) | (~v94(constB108)) | (~v84(constB110, bitIndex1)) | (~v84(constB110, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12396,plain,
% 135.33/86.02 (~v94(constB108)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12395, 6723, 6987, 6922])).
% 135.33/86.02 tff(12397,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[6720, 12396, 8842])).
% 135.33/86.02 tff(12398,plain,(v84(constB109, bitIndex2) | (~v84(constB110, bitIndex1)) | (~v84(constB110, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12399,plain,
% 135.33/86.02 (~v84(constB110, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12398, 6723, 12344])).
% 135.33/86.02 tff(12400,plain,
% 135.33/86.02 (~v84(constB111, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8637, 816, 8586])).
% 135.33/86.02 tff(12401,plain,
% 135.33/86.02 (~v84(constB110, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[6993, 12400])).
% 135.33/86.02 tff(12402,plain,
% 135.33/86.02 (~v123(constB110, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8840, 12401, 8830])).
% 135.33/86.02 tff(12403,plain,
% 135.33/86.02 (~v121(constB109, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10494, 12402])).
% 135.33/86.02 tff(12404,plain,
% 135.33/86.02 (~v124(constB109, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10486, 12403])).
% 135.33/86.02 tff(12405,plain,
% 135.33/86.02 (~v145(constB109)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10360, 12404])).
% 135.33/86.02 tff(12406,plain,
% 135.33/86.02 (~v115(constB109)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[9971, 12404])).
% 135.33/86.02 tff(12407,plain,
% 135.33/86.02 (v116(constB109)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12386, 12406, 6723, 6505, 12405])).
% 135.33/86.02 tff(12408,assumption,(v116(constB109)), introduced(assumption)).
% 135.33/86.02 tff(12409,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB109)) | v124(constB109, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB109)) | v124(constB109, bitIndex2))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12410,plain,
% 135.33/86.02 (((~v116(constB109)) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB109)) | v124(constB109, bitIndex2))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12411,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB109)) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB109)) | v124(constB109, bitIndex2)))),
% 135.33/86.02 inference(monotonicity,[status(thm)],[12410])).
% 135.33/86.02 tff(12412,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB109)) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB109)) | v124(constB109, bitIndex2))),
% 135.33/86.02 inference(transitivity,[status(thm)],[12411, 12409])).
% 135.33/86.02 tff(12413,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB109)) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~b100(bitIndex2)))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12414,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB109)) | v124(constB109, bitIndex2)),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12413, 12412])).
% 135.33/86.02 tff(12415,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12414, 1772, 1769, 767, 12408, 10612])).
% 135.33/86.02 tff(12416,plain,(v124(constB109, bitIndex2) | (~v116(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12417,plain,
% 135.33/86.02 (v124(constB109, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12416, 12407])).
% 135.33/86.02 tff(12418,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex2)) | v121(constB109, bitIndex2) | (~v124(constB109, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex2)) | v121(constB109, bitIndex2) | (~v124(constB109, bitIndex2)))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12419,plain,
% 135.33/86.02 ((v26(constB109) | v121(constB109, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2))) <=> (v26(constB109) | (~less_3(bitIndex2)) | v121(constB109, bitIndex2) | (~v124(constB109, bitIndex2)))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12420,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex2)) | v121(constB109, bitIndex2) | (~v124(constB109, bitIndex2))))),
% 135.33/86.02 inference(monotonicity,[status(thm)],[12419])).
% 135.33/86.02 tff(12421,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex2)) | v121(constB109, bitIndex2) | (~v124(constB109, bitIndex2)))),
% 135.33/86.02 inference(transitivity,[status(thm)],[12420, 12418])).
% 135.33/86.02 tff(12422,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB109, bitIndex2)))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12423,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex2)) | v121(constB109, bitIndex2) | (~v124(constB109, bitIndex2))),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 135.33/86.02 tff(12424,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12423, 1728, 767, 6903, 10600, 10633])).
% 135.33/86.02 tff(12425,plain,(v121(constB109, bitIndex2) | (~v124(constB109, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12426,plain,
% 135.33/86.02 (v121(constB109, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12425, 12417])).
% 135.33/86.02 tff(12427,plain,
% 135.33/86.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex2)) | v123(constB110, bitIndex2) | (~v121(constB109, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex2)) | v123(constB110, bitIndex2) | (~v121(constB109, bitIndex2)))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12428,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex2)) | v123(constB110, bitIndex2) | (~v121(constB109, bitIndex2)))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12429,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex2)) | v123(constB110, bitIndex2) | (~v121(constB109, bitIndex2))),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12428, 12427])).
% 135.33/86.02 tff(12430,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12429, 1708, 767, 6752, 10611, 10625])).
% 135.33/86.02 tff(12431,plain,(v123(constB110, bitIndex2) | (~v121(constB109, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12432,plain,
% 135.33/86.02 (v123(constB110, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12431, 12426])).
% 135.33/86.02 tff(12433,plain,
% 135.33/86.02 (~v84(constB111, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[6954, 725, 8586])).
% 135.33/86.02 tff(12434,plain,
% 135.33/86.02 (~v84(constB110, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[6946, 12433])).
% 135.33/86.02 tff(12435,plain,
% 135.33/86.02 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v84(constB110, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v84(constB110, bitIndex2))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12436,plain,
% 135.33/86.02 (((~less_3(bitIndex2)) | (~v94(constB110)) | v84(constB110, bitIndex2) | (~v123(constB110, bitIndex2))) <=> ((~v94(constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v84(constB110, bitIndex2))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12437,plain,
% 135.33/86.02 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB110)) | v84(constB110, bitIndex2) | (~v123(constB110, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v84(constB110, bitIndex2)))),
% 135.33/86.02 inference(monotonicity,[status(thm)],[12436])).
% 135.33/86.02 tff(12438,plain,
% 135.33/86.02 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB110)) | v84(constB110, bitIndex2) | (~v123(constB110, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v84(constB110, bitIndex2))),
% 135.33/86.02 inference(transitivity,[status(thm)],[12437, 12435])).
% 135.33/86.02 tff(12439,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB110)) | v84(constB110, bitIndex2) | (~v123(constB110, bitIndex2)))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12440,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex2)) | (~v123(constB110, bitIndex2)) | v84(constB110, bitIndex2)),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12439, 12438])).
% 135.33/86.02 tff(12441,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12440, 1674, 767, 8830, 12434, 12432])).
% 135.33/86.02 tff(12442,plain,((~v145(constB111)) | v84(constB109, bitIndex2) | (~v94(constB108))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12443,plain,
% 135.33/86.02 (~v145(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12442, 6723, 6505])).
% 135.33/86.02 tff(12444,plain,
% 135.33/86.02 (~v84(constB111, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10577, 6561])).
% 135.33/86.02 tff(12445,assumption,(~v102(constB111)), introduced(assumption)).
% 135.33/86.02 tff(12446,plain,
% 135.33/86.02 (~v106(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7152, 619, 12445])).
% 135.33/86.02 tff(12447,plain,
% 135.33/86.02 (~v26(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7156, 630, 12445])).
% 135.33/86.02 tff(12448,plain,
% 135.33/86.02 (v26(constB111) | v106(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7163, 644, 7032])).
% 135.33/86.02 tff(12449,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12448, 12447, 12446])).
% 135.33/86.02 tff(12450,plain,(v102(constB111) | (~v107(constB111))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12451,plain,
% 135.33/86.02 (~v107(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12450, 7149])).
% 135.33/86.02 tff(12452,plain,
% 135.33/86.02 (~v108(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7167, 658, 12451])).
% 135.33/86.02 tff(12453,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7240, 805, 795, 7094, 7108, 7236, 7020])).
% 135.33/86.02 tff(12454,plain,(v84(constB111, bitIndex0) | v94(constB112)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12455,plain,
% 135.33/86.02 (v84(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12454, 7108])).
% 135.33/86.02 tff(12456,plain,
% 135.33/86.02 (v116(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7268, 12455, 7250, 6923])).
% 135.33/86.02 tff(12457,plain,
% 135.33/86.02 (v110(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7248, 934, 12456])).
% 135.33/86.02 tff(12458,plain,
% 135.33/86.02 (v109(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7175, 680, 12457])).
% 135.33/86.02 tff(12459,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7171, 669, 12458, 12452])).
% 135.33/86.02 tff(12460,plain,(v94(constB112) | v145(constB111) | v84(constB111, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12461,plain,
% 135.33/86.02 (v94(constB112)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12460, 12444, 12443])).
% 135.33/86.02 tff(12462,plain,
% 135.33/86.02 (v84(constB113, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7618, 805, 823, 7467, 7464, 8298])).
% 135.33/86.02 tff(12463,plain,
% 135.33/86.02 (~v172(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7362, 2289, 12462])).
% 135.33/86.02 tff(12464,plain,
% 135.33/86.02 (~v116(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8341, 8298])).
% 135.33/86.02 tff(12465,plain,
% 135.33/86.02 (v84(constB113, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8540, 8292, 12464, 12463])).
% 135.33/86.02 tff(12466,plain,
% 135.33/86.02 (~v119(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7588, 1927, 8142])).
% 135.33/86.02 tff(12467,plain,
% 135.33/86.02 (v84(constB113, bitIndex0) | (~v84(constB113, bitIndex2))),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7626, 1910, 12462, 12466])).
% 135.33/86.02 tff(12468,plain,
% 135.33/86.02 (v84(constB113, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12467, 12465])).
% 135.33/86.02 tff(12469,plain,
% 135.33/86.02 (v84(constB112, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8480, 805, 823, 7293, 7305, 12462])).
% 135.33/86.02 tff(12470,plain,
% 135.33/86.02 (v84(constB112, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8543, 12465])).
% 135.33/86.02 tff(12471,plain,
% 135.33/86.02 (~v84(constB112, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8647, 12470, 8545, 12469])).
% 135.33/86.02 tff(12472,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8434, 805, 795, 7293, 7305, 7109, 7315])).
% 135.33/86.02 tff(12473,plain,((~v84(constB113, bitIndex0)) | v84(constB112, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12474,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12473, 12471, 12468])).
% 135.33/86.02 tff(12475,plain,(v94(constB114) | (~v94(constB112))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12476,plain,
% 135.33/86.02 (v94(constB114)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12475, 12461])).
% 135.33/86.02 tff(12477,plain,
% 135.33/86.02 (v104(constB114)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7525, 12476])).
% 135.33/86.02 tff(12478,plain,
% 135.33/86.02 (v102(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7533, 12477])).
% 135.33/86.02 tff(12479,plain,
% 135.33/86.02 (v106(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7541, 12478])).
% 135.33/86.02 tff(12480,plain,
% 135.33/86.02 (v107(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7545, 3161, 12479])).
% 135.33/86.02 tff(12481,plain,
% 135.33/86.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB114, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB114, bitIndex1))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12482,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB114, bitIndex1))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12483,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex1)) | (~v84(constB115, bitIndex1)) | v84(constB114, bitIndex1)),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 135.33/86.02 tff(12484,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12483, 805, 823, 7637, 7649, 7675, 7463])).
% 135.33/86.02 tff(12485,plain,((~v84(constB115, bitIndex1)) | v84(constB114, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12486,plain,
% 135.33/86.02 (v84(constB114, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12485, 12341])).
% 135.33/86.02 tff(12487,plain,
% 135.33/86.02 (~v116(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8341, 12486])).
% 135.33/86.02 tff(12488,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12440, 1674, 767, 8832, 6561, 10632])).
% 135.33/86.02 tff(12489,plain,((~v123(constB110, bitIndex2)) | (~v94(constB110)) | v84(constB110, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12490,plain,
% 135.33/86.02 (~v123(constB110, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12489, 6561, 8830])).
% 135.33/86.02 tff(12491,plain,
% 135.33/86.02 (~v121(constB109, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12431, 12490])).
% 135.33/86.02 tff(12492,plain,
% 135.33/86.02 (~v124(constB109, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12425, 12491])).
% 135.33/86.02 tff(12493,plain,
% 135.33/86.02 (~v116(constB109)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12416, 12492])).
% 135.33/86.02 tff(12494,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12386, 9972, 10361, 6723, 6505, 10599])).
% 135.33/86.02 tff(12495,plain,(v124(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v94(constB108)) | v116(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12496,plain,
% 135.33/86.02 (v124(constB109, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12495, 12493, 6505, 6723])).
% 135.33/86.02 tff(12497,plain,
% 135.33/86.02 (v121(constB109, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10486, 12496])).
% 135.33/86.02 tff(12498,plain,
% 135.33/86.02 (v123(constB110, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10494, 12497])).
% 135.33/86.02 tff(12499,plain,
% 135.33/86.02 (v84(constB110, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8840, 12498, 8830])).
% 135.33/86.02 tff(12500,plain,
% 135.33/86.02 (v84(constB111, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[6993, 12499])).
% 135.33/86.02 tff(12501,plain,
% 135.33/86.02 (~v84(constB113, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12473, 7109])).
% 135.33/86.02 tff(12502,plain,
% 135.33/86.02 (v84(constB113, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8263, 12501, 8160])).
% 135.33/86.02 tff(12503,plain,
% 135.33/86.02 (v84(constB112, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8480, 805, 823, 7293, 7305, 12502])).
% 135.33/86.02 tff(12504,plain,
% 135.33/86.02 (v94(constB112)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7235, 7109])).
% 135.33/86.02 tff(12505,plain,
% 135.33/86.02 (v123(constB112, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8552, 1344, 823, 12504, 12503])).
% 135.33/86.02 tff(12506,plain,
% 135.33/86.02 (v121(constB111, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8557, 1362, 823, 7094, 12505])).
% 135.33/86.02 tff(12507,plain,
% 135.33/86.02 (v124(constB111, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8561, 1380, 823, 7083, 12506])).
% 135.33/86.02 tff(12508,plain,
% 135.33/86.02 (~v123(constB112, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8650, 7109, 12504])).
% 135.33/86.02 tff(12509,plain,
% 135.33/86.02 (~v121(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8653, 12508])).
% 135.33/86.02 tff(12510,plain,
% 135.33/86.02 (~v124(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8656, 12509])).
% 135.33/86.02 tff(12511,plain,
% 135.33/86.02 (~v115(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8660, 12510])).
% 135.33/86.02 tff(12512,plain,
% 135.33/86.02 (v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | v115(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7205, 1095, 6996])).
% 135.33/86.02 tff(12513,plain,
% 135.33/86.02 (v84(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12512, 12511, 6923])).
% 135.33/86.02 tff(12514,plain,
% 135.33/86.02 (v116(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7268, 12513, 7250, 6923])).
% 135.33/86.02 tff(12515,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8688, 2167, 2164, 823, 12514, 12507])).
% 135.33/86.02 tff(12516,plain,(v84(constB112, bitIndex0) | v145(constB111) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex1)) | v172(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12517,plain,
% 135.33/86.02 (v84(constB112, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12516, 12444, 12443, 12500, 8160])).
% 135.33/86.02 tff(12518,plain,
% 135.33/86.02 (v84(constB113, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7414, 12517])).
% 135.33/86.02 tff(12519,plain,
% 135.33/86.02 (v94(constB112)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7403, 12518, 7237])).
% 135.33/86.02 tff(12520,plain,
% 135.33/86.02 ((~v94(constB112)) | v123(constB112, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8438, 1344, 795, 12517])).
% 135.33/86.02 tff(12521,plain,
% 135.33/86.02 (v123(constB112, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12520, 12519])).
% 135.33/86.02 tff(12522,plain,
% 135.33/86.02 (v121(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8442, 1362, 795, 7094, 12521])).
% 135.33/86.02 tff(12523,plain,
% 135.33/86.02 (v124(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8449, 1380, 795, 7083, 12522])).
% 135.33/86.02 tff(12524,plain,
% 135.33/86.02 (~v116(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8456, 2386, 2164, 795, 12523])).
% 135.33/86.02 tff(12525,plain,
% 135.33/86.02 (~v84(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7268, 12524, 12443, 12444])).
% 135.33/86.02 tff(12526,plain,
% 135.33/86.02 (v84(constB111, bitIndex0) | v84(constB111, bitIndex2) | v115(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7205, 1095, 12500])).
% 135.33/86.02 tff(12527,plain,
% 135.33/86.02 (v115(constB111)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12526, 12525, 12444])).
% 135.33/86.02 tff(12528,plain,
% 135.33/86.02 (~v84(constB112, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7328, 7319])).
% 135.33/86.02 tff(12529,plain,
% 135.33/86.02 (v94(constB112)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7317, 12528])).
% 135.33/86.02 tff(12530,plain,
% 135.33/86.02 (v124(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8660, 8658])).
% 135.33/86.02 tff(12531,plain,
% 135.33/86.02 (v121(constB111, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8656, 12530])).
% 135.33/86.02 tff(12532,plain,
% 135.33/86.02 (v123(constB112, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8653, 12531])).
% 135.33/86.02 tff(12533,plain,
% 135.33/86.02 (v84(constB112, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8650, 12532, 12529])).
% 135.33/86.02 tff(12534,plain,
% 135.33/86.02 (v84(constB113, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7414, 12533])).
% 135.33/86.02 tff(12535,plain,
% 135.33/86.02 ((~v84(constB113, bitIndex0)) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1))),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8348, 1076, 8529])).
% 135.33/86.02 tff(12536,plain,
% 135.33/86.02 (~v84(constB113, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12535, 12534, 7319])).
% 135.33/86.02 tff(12537,plain,
% 135.33/86.02 (~v84(constB112, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7313, 12536])).
% 135.33/86.02 tff(12538,plain,
% 135.33/86.02 (~v123(constB112, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7434, 1674, 823, 12529, 12537])).
% 135.33/86.02 tff(12539,plain,
% 135.33/86.02 (~v121(constB111, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7438, 1708, 823, 7094, 12538])).
% 135.33/86.02 tff(12540,plain,
% 135.33/86.02 (~v124(constB111, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7445, 1728, 823, 7083, 12539])).
% 135.33/86.02 tff(12541,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB111)) | v124(constB111, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB111)) | v124(constB111, bitIndex1))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12542,plain,
% 135.33/86.02 (((~v115(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB111)) | v124(constB111, bitIndex1))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12543,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB111)) | v124(constB111, bitIndex1)))),
% 135.33/86.02 inference(monotonicity,[status(thm)],[12542])).
% 135.33/86.02 tff(12544,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB111)) | v124(constB111, bitIndex1))),
% 135.33/86.02 inference(transitivity,[status(thm)],[12543, 12541])).
% 135.33/86.02 tff(12545,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b011(bitIndex1)))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12546,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB111)) | v124(constB111, bitIndex1)),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12545, 12544])).
% 135.33/86.02 tff(12547,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12546, 3033, 1193, 823, 8658, 12540])).
% 135.33/86.02 tff(12548,plain,((~v115(constB111)) | v84(constB113, bitIndex2) | v116(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12549,plain,
% 135.33/86.02 (v84(constB113, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12548, 12527, 8529])).
% 135.33/86.02 tff(12550,plain,
% 135.33/86.02 (~v145(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7339, 12549])).
% 135.33/86.02 tff(12551,plain,
% 135.33/86.02 (v84(constB113, bitIndex1)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8473, 12550, 8160])).
% 135.33/86.02 tff(12552,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7401, 12551, 12550, 7237, 12518, 12549])).
% 135.33/86.02 tff(12553,plain,(v84(constB110, bitIndex2) | (~v107(constB113)) | v172(constB113) | v116(constB113) | (~v94(constB108)) | v84(constB109, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12554,plain,
% 135.33/86.02 (v172(constB113)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12553, 12487, 6723, 6561, 6505, 12480])).
% 135.33/86.02 tff(12555,assumption,(v124(constB113, bitIndex0)), introduced(assumption)).
% 135.33/86.02 tff(12556,assumption,(v172(constB113)), introduced(assumption)).
% 135.33/86.02 tff(12557,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB113)) | (~v124(constB113, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB113)) | (~v124(constB113, bitIndex0)))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12558,plain,
% 135.33/86.02 (((~v172(constB113)) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB113)) | (~v124(constB113, bitIndex0)))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12559,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB113)) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB113)) | (~v124(constB113, bitIndex0))))),
% 135.33/86.02 inference(monotonicity,[status(thm)],[12558])).
% 135.33/86.02 tff(12560,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB113)) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB113)) | (~v124(constB113, bitIndex0)))),
% 135.33/86.02 inference(transitivity,[status(thm)],[12559, 12557])).
% 135.33/86.02 tff(12561,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB113)) | (~less_3(bitIndex0)) | (~v124(constB113, bitIndex0)) | b110(bitIndex0))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12562,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB113)) | (~v124(constB113, bitIndex0))),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12561, 12560])).
% 135.33/86.02 tff(12563,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12562, 1997, 1994, 795, 12556, 12555])).
% 135.33/86.02 tff(12564,plain,((~v172(constB113)) | (~v124(constB113, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12565,plain,
% 135.33/86.02 (~v124(constB113, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12564, 12554])).
% 135.33/86.02 tff(12566,assumption,(v121(constB113, bitIndex0)), introduced(assumption)).
% 135.33/86.02 tff(12567,assumption,(~v124(constB113, bitIndex0)), introduced(assumption)).
% 135.33/86.02 tff(12568,plain,
% 135.33/86.02 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12569,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0)))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12570,plain,
% 135.33/86.02 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex0)) | v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0))),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12569, 12568])).
% 135.33/86.02 tff(12571,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12570, 1380, 795, 7491, 12567, 12566])).
% 135.33/86.02 tff(12572,plain,(v124(constB113, bitIndex0) | (~v121(constB113, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12573,plain,
% 135.33/86.02 (~v121(constB113, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12572, 12565])).
% 135.33/86.02 tff(12574,assumption,(~v121(constB113, bitIndex0)), introduced(assumption)).
% 135.33/86.02 tff(12575,assumption,(v123(constB114, bitIndex0)), introduced(assumption)).
% 135.33/86.02 tff(12576,plain,
% 135.33/86.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v121(constB113, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v121(constB113, bitIndex0))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12577,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v121(constB113, bitIndex0))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12578,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex0)) | (~v123(constB114, bitIndex0)) | v121(constB113, bitIndex0)),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 135.33/86.02 tff(12579,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12578, 1362, 795, 7467, 12575, 12574])).
% 135.33/86.02 tff(12580,plain,((~v123(constB114, bitIndex0)) | v121(constB113, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12581,plain,
% 135.33/86.02 (~v123(constB114, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12580, 12573])).
% 135.33/86.02 tff(12582,assumption,(~v123(constB114, bitIndex0)), introduced(assumption)).
% 135.33/86.02 tff(12583,plain,
% 135.33/86.02 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB114)) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB114)) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0))),
% 135.33/86.02 inference(rewrite,[status(thm)],[])).
% 135.33/86.02 tff(12584,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB114)) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0))),
% 135.33/86.02 inference(quant_inst,[status(thm)],[])).
% 135.33/86.02 tff(12585,plain,
% 135.33/86.02 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB114)) | (~v84(constB114, bitIndex0)) | v123(constB114, bitIndex0)),
% 135.33/86.02 inference(modus_ponens,[status(thm)],[12584, 12583])).
% 135.33/86.02 tff(12586,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12585, 1344, 795, 8369, 7630, 12582])).
% 135.33/86.02 tff(12587,plain,((~v84(constB114, bitIndex0)) | (~v94(constB114)) | v123(constB114, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12588,plain,
% 135.33/86.02 (~v84(constB114, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12587, 12581, 12476])).
% 135.33/86.02 tff(12589,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[8357, 805, 795, 7637, 7649, 7657, 7594])).
% 135.33/86.02 tff(12590,plain,((~v84(constB115, bitIndex0)) | v84(constB114, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12591,plain,
% 135.33/86.02 (~v84(constB115, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12590, 12588])).
% 135.33/86.02 tff(12592,plain,
% 135.33/86.02 (v119(constB115)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7956, 12591, 7939, 12341])).
% 135.33/86.02 tff(12593,plain,
% 135.33/86.02 (v107(constB115)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12098, 12592])).
% 135.33/86.02 tff(12594,plain,
% 135.33/86.02 (v106(constB115)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7884, 12593])).
% 135.33/86.02 tff(12595,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[7876, 619, 7873, 12594])).
% 135.33/86.02 tff(12596,plain,(v94(constB116) | v115(constB115) | v84(constB109, bitIndex2) | v84(constB110, bitIndex2) | (~v94(constB108))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12597,plain,
% 135.33/86.02 ($false),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12596, 12399, 6723, 7774, 12343, 6505])).
% 135.33/86.02 tff(12598,plain,(v84(constB109, bitIndex2) | v94(constB116) | (~v94(constB108)) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.02 tff(12599,plain,
% 135.33/86.02 (v84(constB109, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[12598, 12330, 6505, 11523])).
% 135.33/86.02 tff(12600,plain,
% 135.33/86.02 (v84(constB108, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10502, 12599])).
% 135.33/86.02 tff(12601,plain,
% 135.33/86.02 (v124(constB107, bitIndex2)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[11023, 12600, 6505])).
% 135.33/86.02 tff(12602,plain,
% 135.33/86.02 (~v145(constB107)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[11027, 12601])).
% 135.33/86.02 tff(12603,plain,
% 135.33/86.02 (~v124(constB107, bitIndex0)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10564, 12601])).
% 135.33/86.02 tff(12604,plain,
% 135.33/86.02 (~v172(constB105)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[11227, 12603, 11371])).
% 135.33/86.02 tff(12605,plain,
% 135.33/86.02 (v104(constB106)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10220, 11371])).
% 135.33/86.02 tff(12606,plain,
% 135.33/86.02 (v102(constB105)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10228, 12605])).
% 135.33/86.02 tff(12607,plain,
% 135.33/86.02 (v106(constB105)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[11107, 12606])).
% 135.33/86.02 tff(12608,plain,
% 135.33/86.02 (v107(constB105)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10240, 3161, 12607])).
% 135.33/86.02 tff(12609,plain,
% 135.33/86.02 (~v119(constB105)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[11101, 9262, 10808])).
% 135.33/86.02 tff(12610,plain,
% 135.33/86.02 (v108(constB105) | v119(constB105)),
% 135.33/86.02 inference(unit_resolution,[status(thm)],[10244, 3195, 9380])).
% 135.33/86.02 tff(12611,plain,
% 135.33/86.03 (v108(constB105)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12610, 12609])).
% 135.33/86.03 tff(12612,plain,
% 135.33/86.03 (~v84(constB105, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11128, 12611, 6519, 11079, 11081])).
% 135.33/86.03 tff(12613,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9254, 12612, 9276])).
% 135.33/86.03 tff(12614,plain,(v94(constB104) | v145(constB105) | (~v107(constB105)) | v119(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12615,plain,
% 135.33/86.03 (v119(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12614, 9262, 9380, 6519])).
% 135.33/86.03 tff(12616,plain,
% 135.33/86.03 (~v84(constB103, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10769, 12615])).
% 135.33/86.03 tff(12617,plain,
% 135.33/86.03 (v94(constB104)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9282, 805, 795, 8973, 9248, 10753])).
% 135.33/86.03 tff(12618,plain,
% 135.33/86.03 (v123(constB104, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9606, 1344, 795, 12617, 9248])).
% 135.33/86.03 tff(12619,plain,
% 135.33/86.03 (v121(constB103, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9610, 1362, 795, 8973, 12618])).
% 135.33/86.03 tff(12620,plain,
% 135.33/86.03 (v124(constB103, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 12619])).
% 135.33/86.03 tff(12621,plain,
% 135.33/86.03 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB103)) | (~v84(constB103, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB103)) | (~v84(constB103, bitIndex2)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12622,plain,
% 135.33/86.03 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB103)) | (~v84(constB103, bitIndex2)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12623,plain,
% 135.33/86.03 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB103)) | (~v84(constB103, bitIndex2))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12622, 12621])).
% 135.33/86.03 tff(12624,plain,
% 135.33/86.03 (~v113(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12623, 1119, 9313])).
% 135.33/86.03 tff(12625,plain,
% 135.33/86.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB103, bitIndex2)) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB103, bitIndex2)) | (~v115(constB103)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12626,plain,
% 135.33/86.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB103, bitIndex2)) | (~v115(constB103)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12627,plain,
% 135.33/86.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB103, bitIndex2)) | (~v115(constB103))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12626, 12625])).
% 135.33/86.03 tff(12628,plain,
% 135.33/86.03 (~v115(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12627, 2665, 9313])).
% 135.33/86.03 tff(12629,plain,
% 135.33/86.03 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB103, bitIndex0) | (~v118(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB103, bitIndex0) | (~v118(constB103)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12630,plain,
% 135.33/86.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB103, bitIndex0) | (~v118(constB103)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12631,plain,
% 135.33/86.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB103, bitIndex0) | (~v118(constB103))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12630, 12629])).
% 135.33/86.03 tff(12632,plain,
% 135.33/86.03 (~v118(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12631, 2642, 10753])).
% 135.33/86.03 tff(12633,plain,
% 135.33/86.03 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB103, bitIndex0) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB103, bitIndex0) | (~v116(constB103)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12634,plain,
% 135.33/86.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB103, bitIndex0) | (~v116(constB103)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12635,plain,
% 135.33/86.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB103, bitIndex0) | (~v116(constB103))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12634, 12633])).
% 135.33/86.03 tff(12636,plain,
% 135.33/86.03 (~v116(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12635, 10948, 10753])).
% 135.33/86.03 tff(12637,plain,
% 135.33/86.03 (~v145(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10758, 10753])).
% 135.33/86.03 tff(12638,plain,
% 135.33/86.03 (~v115(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10993, 10804])).
% 135.33/86.03 tff(12639,plain,
% 135.33/86.03 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB105, bitIndex2) | (~v172(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB105, bitIndex2) | (~v172(constB105)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12640,plain,
% 135.33/86.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB105, bitIndex2) | (~v172(constB105)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12641,plain,
% 135.33/86.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB105, bitIndex2) | (~v172(constB105))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12640, 12639])).
% 135.33/86.03 tff(12642,plain,
% 135.33/86.03 (v84(constB105, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12641, 5263, 11142])).
% 135.33/86.03 tff(12643,plain,
% 135.33/86.03 (v84(constB104, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9566, 12642])).
% 135.33/86.03 tff(12644,plain,
% 135.33/86.03 (v123(constB104, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10901, 12643, 8898])).
% 135.33/86.03 tff(12645,plain,
% 135.33/86.03 (v121(constB103, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10898, 12644])).
% 135.33/86.03 tff(12646,plain,
% 135.33/86.03 (v124(constB103, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10893, 12645])).
% 135.33/86.03 tff(12647,plain,
% 135.33/86.03 (~v145(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9648, 1419, 1416, 767, 12646])).
% 135.33/86.03 tff(12648,plain,
% 135.33/86.03 (~v84(constB105, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9750, 2289, 11142])).
% 135.33/86.03 tff(12649,plain,
% 135.33/86.03 (~v84(constB104, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[8940, 12648])).
% 135.33/86.03 tff(12650,plain,
% 135.33/86.03 (~v123(constB104, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10788, 12649, 8898])).
% 135.33/86.03 tff(12651,plain,
% 135.33/86.03 (~v121(constB103, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10793, 12650])).
% 135.33/86.03 tff(12652,plain,
% 135.33/86.03 (~v124(constB103, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10798, 12651])).
% 135.33/86.03 tff(12653,plain,
% 135.33/86.03 (~v172(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9641, 1801, 1798, 823, 12652])).
% 135.33/86.03 tff(12654,plain,
% 135.33/86.03 (v84(constB103, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9327, 9313, 9324, 9315])).
% 135.33/86.03 tff(12655,plain,
% 135.33/86.03 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB103)) | (~v84(constB103, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB103)) | (~v84(constB103, bitIndex1)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12656,plain,
% 135.33/86.03 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB103)) | (~v84(constB103, bitIndex1)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12657,plain,
% 135.33/86.03 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB103)) | (~v84(constB103, bitIndex1))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 135.33/86.03 tff(12658,plain,
% 135.33/86.03 (~v113(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12657, 1465, 12654])).
% 135.33/86.03 tff(12659,plain,
% 135.33/86.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB103, bitIndex2)) | (~v116(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB103, bitIndex2)) | (~v116(constB103)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12660,plain,
% 135.33/86.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB103, bitIndex2)) | (~v116(constB103)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12661,plain,
% 135.33/86.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB103, bitIndex2)) | (~v116(constB103))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 135.33/86.03 tff(12662,plain,
% 135.33/86.03 (~v116(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12661, 1130, 9313])).
% 135.33/86.03 tff(12663,plain,
% 135.33/86.03 (v116(constB103) | v113(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9662, 2427, 2424, 767, 11445, 10888, 9324, 9315, 11486])).
% 135.33/86.03 tff(12664,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12663, 12662, 12658])).
% 135.33/86.03 tff(12665,plain,((~v84(constB103, bitIndex2)) | v145(constB103) | (~v124(constB103, bitIndex2)) | v172(constB103) | v118(constB103) | v115(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12666,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12665, 12653, 12647, 9313, 12646, 9315, 11486])).
% 135.33/86.03 tff(12667,plain,((~v172(constB105)) | (~v84(constB103, bitIndex2)) | v118(constB103) | v115(constB103) | (~v94(constB104))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12668,plain,
% 135.33/86.03 (~v172(constB105)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12667, 12638, 9315, 9313, 8898])).
% 135.33/86.03 tff(12669,plain,
% 135.33/86.03 (v84(constB105, bitIndex1) | v145(constB105) | v172(constB105)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11238, 9334])).
% 135.33/86.03 tff(12670,plain,
% 135.33/86.03 (v84(constB105, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12669, 12668, 6519])).
% 135.33/86.03 tff(12671,plain,
% 135.33/86.03 (v84(constB104, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11043, 12670])).
% 135.33/86.03 tff(12672,plain,
% 135.33/86.03 (v123(constB104, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 8898, 12671])).
% 135.33/86.03 tff(12673,plain,
% 135.33/86.03 (v121(constB103, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11422, 12672])).
% 135.33/86.03 tff(12674,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 10804, 12673])).
% 135.33/86.03 tff(12675,plain,(v124(constB103, bitIndex1) | (~v94(constB104)) | v145(constB105) | v118(constB103) | (~v84(constB103, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12676,plain,
% 135.33/86.03 (v124(constB103, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12675, 12617, 9313, 6519, 12632])).
% 135.33/86.03 tff(12677,plain,
% 135.33/86.03 (v172(constB103)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11489, 12676, 12637, 12636, 12632, 12628, 12624])).
% 135.33/86.03 tff(12678,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10819, 1997, 1994, 795, 12677, 12620])).
% 135.33/86.03 tff(12679,plain,((~v84(constB104, bitIndex0)) | (~v84(constB103, bitIndex2)) | v145(constB105) | v84(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12680,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12679, 9276, 12616, 6519, 9313])).
% 135.33/86.03 tff(12681,plain,(v94(constB104) | v145(constB105) | (~v84(constB103, bitIndex2)) | (~v107(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12682,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12681, 9312, 9262, 6519, 9380])).
% 135.33/86.03 tff(12683,plain,(v94(constB104) | v145(constB105) | (~v107(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12684,plain,
% 135.33/86.03 (v145(constB105)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12683, 9262, 9380])).
% 135.33/86.03 tff(12685,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10772, 11079, 12684])).
% 135.33/86.03 tff(12686,plain,(v94(constB104) | (~v107(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12687,plain,
% 135.33/86.03 (v94(constB104)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12686, 12608])).
% 135.33/86.03 tff(12688,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10840, 2299, 1416, 795, 10752, 10878])).
% 135.33/86.03 tff(12689,plain,((~v124(constB103, bitIndex0)) | (~v145(constB103))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12690,plain,
% 135.33/86.03 (~v124(constB103, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12689, 10752])).
% 135.33/86.03 tff(12691,assumption,(~v124(constB103, bitIndex0)), introduced(assumption)).
% 135.33/86.03 tff(12692,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 9241, 12691])).
% 135.33/86.03 tff(12693,plain,((~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12694,plain,
% 135.33/86.03 (~v121(constB103, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12693, 12690])).
% 135.33/86.03 tff(12695,assumption,(v123(constB104, bitIndex0)), introduced(assumption)).
% 135.33/86.03 tff(12696,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9610, 1362, 795, 8973, 8899, 12695])).
% 135.33/86.03 tff(12697,plain,((~v123(constB104, bitIndex0)) | v121(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12698,plain,
% 135.33/86.03 (~v123(constB104, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12697, 12694])).
% 135.33/86.03 tff(12699,assumption,(~v123(constB104, bitIndex0)), introduced(assumption)).
% 135.33/86.03 tff(12700,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9606, 1344, 795, 8898, 9248, 12699])).
% 135.33/86.03 tff(12701,plain,((~v84(constB104, bitIndex0)) | (~v94(constB104)) | v123(constB104, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12702,plain,
% 135.33/86.03 (~v84(constB104, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12701, 12698, 12687])).
% 135.33/86.03 tff(12703,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9602, 805, 795, 8911, 8923, 9408, 9058])).
% 135.33/86.03 tff(12704,plain,((~v84(constB105, bitIndex0)) | v84(constB104, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12705,plain,
% 135.33/86.03 (~v84(constB105, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12704, 12702])).
% 135.33/86.03 tff(12706,plain,
% 135.33/86.03 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB105, bitIndex0) | (~v116(constB105)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB105, bitIndex0) | (~v116(constB105)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12707,plain,
% 135.33/86.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB105, bitIndex0) | (~v116(constB105)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12708,plain,
% 135.33/86.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB105, bitIndex0) | (~v116(constB105))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 135.33/86.03 tff(12709,plain,
% 135.33/86.03 (~v116(constB105)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12708, 10948, 12705])).
% 135.33/86.03 tff(12710,plain,
% 135.33/86.03 ((~v119(constB107)) | v172(constB105)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9889, 9334])).
% 135.33/86.03 tff(12711,plain,
% 135.33/86.03 (~v119(constB107)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12710, 9468])).
% 135.33/86.03 tff(12712,plain,
% 135.33/86.03 (v124(constB105, bitIndex0) | v145(constB105) | v172(constB105) | v116(constB105)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9850, 9334])).
% 135.33/86.03 tff(12713,plain,
% 135.33/86.03 (v124(constB105, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12712, 9835, 9468, 6519])).
% 135.33/86.03 tff(12714,plain,
% 135.33/86.03 (v121(constB105, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9790, 12713])).
% 135.33/86.03 tff(12715,plain,
% 135.33/86.03 (v123(constB106, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9775, 12714])).
% 135.33/86.03 tff(12716,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10958, 788, 9928, 6665])).
% 135.33/86.03 tff(12717,plain,((~v145(constB107)) | v84(constB107, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12718,plain,
% 135.33/86.03 (~v145(constB107)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12717, 6665])).
% 135.33/86.03 tff(12719,plain,
% 135.33/86.03 (v84(constB106, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10346, 12718, 12715, 9835, 9468, 6519])).
% 135.33/86.03 tff(12720,plain,
% 135.33/86.03 (v84(constB107, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9902, 12719])).
% 135.33/86.03 tff(12721,plain,
% 135.33/86.03 (v115(constB107)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6686, 12720, 12711, 6665])).
% 135.33/86.03 tff(12722,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB107)) | (~b011(bitIndex1)) | v124(constB107, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB107)) | (~b011(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12723,plain,
% 135.33/86.03 (((~v115(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB107)) | (~b011(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12724,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB107)) | (~b011(bitIndex1)) | v124(constB107, bitIndex1)))),
% 135.33/86.03 inference(monotonicity,[status(thm)],[12723])).
% 135.33/86.03 tff(12725,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB107)) | (~b011(bitIndex1)) | v124(constB107, bitIndex1))),
% 135.33/86.03 inference(transitivity,[status(thm)],[12724, 12722])).
% 135.33/86.03 tff(12726,plain,
% 135.33/86.03 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB107)) | (~less_3(bitIndex1)) | v124(constB107, bitIndex1) | (~b011(bitIndex1)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12727,plain,
% 135.33/86.03 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB107)) | (~b011(bitIndex1)) | v124(constB107, bitIndex1)),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12726, 12725])).
% 135.33/86.03 tff(12728,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12727, 3033, 1193, 823, 10004, 10045])).
% 135.33/86.03 tff(12729,plain,(v124(constB107, bitIndex1) | (~v115(constB107))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12730,plain,
% 135.33/86.03 (v124(constB107, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12729, 12721])).
% 135.33/86.03 tff(12731,plain,
% 135.33/86.03 (v121(constB107, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10043, 12730])).
% 135.33/86.03 tff(12732,plain,
% 135.33/86.03 (v123(constB108, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10032, 12731])).
% 135.33/86.03 tff(12733,plain,
% 135.33/86.03 (v84(constB108, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10024, 12732, 6505])).
% 135.33/86.03 tff(12734,plain,
% 135.33/86.03 (v84(constB109, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6823, 12733])).
% 135.33/86.03 tff(12735,plain,
% 135.33/86.03 (v124(constB107, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10012, 12721])).
% 135.33/86.03 tff(12736,plain,
% 135.33/86.03 (v121(constB107, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10001, 12735])).
% 135.33/86.03 tff(12737,plain,
% 135.33/86.03 (v123(constB108, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9990, 12736])).
% 135.33/86.03 tff(12738,plain,
% 135.33/86.03 (v84(constB108, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9982, 12737, 6505])).
% 135.33/86.03 tff(12739,plain,
% 135.33/86.03 (v84(constB109, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6783, 12738])).
% 135.33/86.03 tff(12740,plain,
% 135.33/86.03 (~v106(constB109)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6898, 12739, 6748, 12734])).
% 135.33/86.03 tff(12741,plain,
% 135.33/86.03 (~v102(constB109)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6910, 12740])).
% 135.33/86.03 tff(12742,plain,
% 135.33/86.03 (~v104(constB110)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6918, 12741])).
% 135.33/86.03 tff(12743,plain,
% 135.33/86.03 (~v94(constB110)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6765, 12742])).
% 135.33/86.03 tff(12744,plain,
% 135.33/86.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex0)) | (~v84(constB111, bitIndex0)) | v84(constB110, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex0)) | (~v84(constB111, bitIndex0)) | v84(constB110, bitIndex0))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12745,plain,
% 135.33/86.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex0)) | (~v84(constB111, bitIndex0)) | v84(constB110, bitIndex0))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12746,plain,
% 135.33/86.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex0)) | (~v84(constB111, bitIndex0)) | v84(constB110, bitIndex0)),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12745, 12744])).
% 135.33/86.03 tff(12747,plain,
% 135.33/86.03 (v84(constB110, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12746, 805, 795, 6929, 6941, 12455])).
% 135.33/86.03 tff(12748,plain,
% 135.33/86.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB110, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB110, bitIndex0)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12749,plain,
% 135.33/86.03 (((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB110, bitIndex0)) | v84(constB109, bitIndex0)) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB110, bitIndex0)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12750,plain,
% 135.33/86.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB110, bitIndex0)) | v84(constB109, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB110, bitIndex0))))),
% 135.33/86.03 inference(monotonicity,[status(thm)],[12749])).
% 135.33/86.03 tff(12751,plain,
% 135.33/86.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB110, bitIndex0)) | v84(constB109, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB110, bitIndex0)))),
% 135.33/86.03 inference(transitivity,[status(thm)],[12750, 12748])).
% 135.33/86.03 tff(12752,plain,
% 135.33/86.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | (~v84(constB110, bitIndex0)) | v84(constB109, bitIndex0))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12753,plain,
% 135.33/86.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex0)) | v84(constB109, bitIndex0) | (~v84(constB110, bitIndex0))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12752, 12751])).
% 135.33/86.03 tff(12754,plain,
% 135.33/86.03 (v84(constB109, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12753, 805, 795, 6752, 6749, 12747])).
% 135.33/86.03 tff(12755,plain,
% 135.33/86.03 (v84(constB111, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[8567, 7108])).
% 135.33/86.03 tff(12756,plain,
% 135.33/86.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex1)) | (~v84(constB111, bitIndex1)) | v84(constB110, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex1)) | (~v84(constB111, bitIndex1)) | v84(constB110, bitIndex1))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12757,plain,
% 135.33/86.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex1)) | (~v84(constB111, bitIndex1)) | v84(constB110, bitIndex1))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12758,plain,
% 135.33/86.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB110, constB111)) | v94(constB111) | (~less_3(bitIndex1)) | (~v84(constB111, bitIndex1)) | v84(constB110, bitIndex1)),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12757, 12756])).
% 135.33/86.03 tff(12759,plain,
% 135.33/86.03 (v84(constB110, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12758, 805, 823, 6929, 6941, 12755])).
% 135.33/86.03 tff(12760,plain,
% 135.33/86.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB110, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB110, bitIndex1)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12761,plain,
% 135.33/86.03 (((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB110, bitIndex1)) | v84(constB109, bitIndex1)) <=> ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB110, bitIndex1)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12762,plain,
% 135.33/86.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB110, bitIndex1)) | v84(constB109, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB110, bitIndex1))))),
% 135.33/86.03 inference(monotonicity,[status(thm)],[12761])).
% 135.33/86.03 tff(12763,plain,
% 135.33/86.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB110, bitIndex1)) | v84(constB109, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB110, bitIndex1)))),
% 135.33/86.03 inference(transitivity,[status(thm)],[12762, 12760])).
% 135.33/86.03 tff(12764,plain,
% 135.33/86.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | (~v84(constB110, bitIndex1)) | v84(constB109, bitIndex1))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12765,plain,
% 135.33/86.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB109, constB110)) | v94(constB110) | (~less_3(bitIndex1)) | v84(constB109, bitIndex1) | (~v84(constB110, bitIndex1))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12764, 12763])).
% 135.33/86.03 tff(12766,plain,
% 135.33/86.03 (v84(constB109, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12765, 805, 823, 6752, 6749, 12759])).
% 135.33/86.03 tff(12767,plain,
% 135.33/86.03 ((~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0))),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[8817, 1076, 8752])).
% 135.33/86.03 tff(12768,plain,
% 135.33/86.03 (v84(constB109, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12767, 12766, 12754])).
% 135.33/86.03 tff(12769,plain,
% 135.33/86.03 (v84(constB108, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10500, 805, 767, 6729, 6741, 12768])).
% 135.33/86.03 tff(12770,plain,
% 135.33/86.03 (v84(constB108, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10096, 805, 795, 6729, 6741, 12754])).
% 135.33/86.03 tff(12771,plain,
% 135.33/86.03 (v94(constB108)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11305, 805, 795, 6567, 6665, 12770])).
% 135.33/86.03 tff(12772,plain,
% 135.33/86.03 (v123(constB108, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10506, 1344, 767, 12771, 12769])).
% 135.33/86.03 tff(12773,plain,
% 135.33/86.03 (v121(constB107, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10510, 1362, 767, 6567, 12772])).
% 135.33/86.03 tff(12774,plain,
% 135.33/86.03 (v124(constB107, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10517, 1380, 767, 6606, 12773])).
% 135.33/86.03 tff(12775,plain,
% 135.33/86.03 (v84(constB108, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10367, 805, 823, 6729, 6741, 12766])).
% 135.33/86.03 tff(12776,plain,
% 135.33/86.03 (v123(constB108, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10373, 1344, 823, 12771, 12775])).
% 135.33/86.03 tff(12777,plain,
% 135.33/86.03 (v121(constB107, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10379, 1362, 823, 6567, 12776])).
% 135.33/86.03 tff(12778,plain,
% 135.33/86.03 (v124(constB107, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10388, 1380, 823, 6606, 12777])).
% 135.33/86.03 tff(12779,plain,
% 135.33/86.03 (v123(constB108, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10102, 1344, 795, 12771, 12770])).
% 135.33/86.03 tff(12780,plain,
% 135.33/86.03 (v121(constB107, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10108, 1362, 795, 6567, 12779])).
% 135.33/86.03 tff(12781,plain,
% 135.33/86.03 (v124(constB107, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10114, 1380, 795, 6606, 12780])).
% 135.33/86.03 tff(12782,plain,
% 135.33/86.03 (~v113(constB107)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10554, 2386, 2186, 795, 12781])).
% 135.33/86.03 tff(12783,plain,
% 135.33/86.03 (~v172(constB107)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10123, 1997, 1994, 795, 12781])).
% 135.33/86.03 tff(12784,plain,
% 135.33/86.03 (v115(constB107)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10405, 2601, 2424, 823, 10959, 12783, 10912, 10952, 12782, 12778])).
% 135.33/86.03 tff(12785,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10540, 2030, 2257, 767, 12784, 12774])).
% 135.33/86.03 tff(12786,plain,(v94(constB112) | v84(constB107, bitIndex0) | v94(constB110)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12787,plain,
% 135.33/86.03 (v94(constB112)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12786, 12743, 6665])).
% 135.33/86.03 tff(12788,plain,
% 135.33/86.03 (v104(constB112)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[7106, 12787])).
% 135.33/86.03 tff(12789,plain,
% 135.33/86.03 (v102(constB111)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[7101, 12788])).
% 135.33/86.03 tff(12790,plain,
% 135.33/86.03 (v106(constB111)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[7090, 12789])).
% 135.33/86.03 tff(12791,plain,
% 135.33/86.03 (v84(constB110, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[8820, 12743])).
% 135.33/86.03 tff(12792,plain,
% 135.33/86.03 (v84(constB111, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6946, 12791])).
% 135.33/86.03 tff(12793,plain,
% 135.33/86.03 (~v112(constB111)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6969, 12792])).
% 135.33/86.03 tff(12794,plain,
% 135.33/86.03 (v84(constB110, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6981, 12743, 12734])).
% 135.33/86.03 tff(12795,plain,
% 135.33/86.03 (v84(constB111, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6993, 12794])).
% 135.33/86.03 tff(12796,plain,
% 135.33/86.03 (~v172(constB111)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[7001, 12795])).
% 135.33/86.03 tff(12797,plain,
% 135.33/86.03 (v84(constB110, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[7011, 12743, 12739])).
% 135.33/86.03 tff(12798,plain,
% 135.33/86.03 (v84(constB111, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[7025, 12797])).
% 135.33/86.03 tff(12799,plain,
% 135.33/86.03 (~v107(constB111)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[7074, 12798, 12795, 12792, 12796, 12793])).
% 135.33/86.03 tff(12800,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[7078, 3161, 12799, 12790])).
% 135.33/86.03 tff(12801,plain,(v84(constB107, bitIndex0) | (~v84(constB109, bitIndex2)) | (~v94(constB108)) | v116(constB105) | v172(constB105) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12802,plain,
% 135.33/86.03 (v84(constB107, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12801, 12709, 12599, 6505, 11523, 12604])).
% 135.33/86.03 tff(12803,plain,
% 135.33/86.03 (v84(constB106, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10144, 12802])).
% 135.33/86.03 tff(12804,plain,
% 135.33/86.03 (v84(constB106, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10343, 12803, 11371, 12602, 12604, 12709, 11523])).
% 135.33/86.03 tff(12805,plain,
% 135.33/86.03 (~v84(constB106, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[11391, 12803, 11371, 12804, 12603])).
% 135.33/86.03 tff(12806,plain,
% 135.33/86.03 (~v84(constB107, bitIndex2)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[9547, 12805])).
% 135.33/86.03 tff(12807,plain,
% 135.33/86.03 (v116(constB107)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[6793, 12806, 12802, 12602])).
% 135.33/86.03 tff(12808,plain,
% 135.33/86.03 (~v124(constB107, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10398, 12807])).
% 135.33/86.03 tff(12809,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10388, 1380, 823, 6606, 10045, 10027])).
% 135.33/86.03 tff(12810,plain,((~v121(constB107, bitIndex1)) | v124(constB107, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12811,plain,
% 135.33/86.03 (~v121(constB107, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12810, 12808])).
% 135.33/86.03 tff(12812,plain,
% 135.33/86.03 (~v123(constB108, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10381, 12811])).
% 135.33/86.03 tff(12813,plain,
% 135.33/86.03 (~v84(constB108, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10375, 12812, 6505])).
% 135.33/86.03 tff(12814,plain,
% 135.33/86.03 (~v84(constB109, bitIndex1)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10369, 12813])).
% 135.33/86.03 tff(12815,plain,
% 135.33/86.03 (~v121(constB107, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10116, 12603])).
% 135.33/86.03 tff(12816,plain,
% 135.33/86.03 (~v123(constB108, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10110, 12815])).
% 135.33/86.03 tff(12817,plain,
% 135.33/86.03 (~v84(constB108, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10104, 12816, 6505])).
% 135.33/86.03 tff(12818,plain,
% 135.33/86.03 (~v84(constB109, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10098, 12817])).
% 135.33/86.03 tff(12819,plain,
% 135.33/86.03 (v84(constB109, bitIndex1) | v172(constB109)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[10621, 1047, 12599, 12818])).
% 135.33/86.03 tff(12820,plain,
% 135.33/86.03 (v172(constB109)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12819, 12814])).
% 135.33/86.03 tff(12821,assumption,(v124(constB109, bitIndex0)), introduced(assumption)).
% 135.33/86.03 tff(12822,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB109)) | (~v124(constB109, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB109)) | (~v124(constB109, bitIndex0)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12823,plain,
% 135.33/86.03 (((~v172(constB109)) | (~less_3(bitIndex0)) | (~v124(constB109, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB109)) | (~v124(constB109, bitIndex0)))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12824,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB109)) | (~less_3(bitIndex0)) | (~v124(constB109, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB109)) | (~v124(constB109, bitIndex0))))),
% 135.33/86.03 inference(monotonicity,[status(thm)],[12823])).
% 135.33/86.03 tff(12825,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB109)) | (~less_3(bitIndex0)) | (~v124(constB109, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB109)) | (~v124(constB109, bitIndex0)))),
% 135.33/86.03 inference(transitivity,[status(thm)],[12824, 12822])).
% 135.33/86.03 tff(12826,plain,
% 135.33/86.03 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB109)) | (~less_3(bitIndex0)) | (~v124(constB109, bitIndex0)) | b110(bitIndex0))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12827,plain,
% 135.33/86.03 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB109)) | (~v124(constB109, bitIndex0))),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12826, 12825])).
% 135.33/86.03 tff(12828,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12827, 1997, 1994, 795, 10642, 12821])).
% 135.33/86.03 tff(12829,plain,((~v124(constB109, bitIndex0)) | (~v172(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12830,plain,
% 135.33/86.03 (~v124(constB109, bitIndex0)),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12829, 12820])).
% 135.33/86.03 tff(12831,assumption,(v121(constB109, bitIndex0)), introduced(assumption)).
% 135.33/86.03 tff(12832,assumption,(~v124(constB109, bitIndex0)), introduced(assumption)).
% 135.33/86.03 tff(12833,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex0)) | (~v121(constB109, bitIndex0)) | v124(constB109, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex0)) | (~v121(constB109, bitIndex0)) | v124(constB109, bitIndex0))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12834,plain,
% 135.33/86.03 ((v26(constB109) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~v121(constB109, bitIndex0))) <=> (v26(constB109) | (~less_3(bitIndex0)) | (~v121(constB109, bitIndex0)) | v124(constB109, bitIndex0))),
% 135.33/86.03 inference(rewrite,[status(thm)],[])).
% 135.33/86.03 tff(12835,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~v121(constB109, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex0)) | (~v121(constB109, bitIndex0)) | v124(constB109, bitIndex0)))),
% 135.33/86.03 inference(monotonicity,[status(thm)],[12834])).
% 135.33/86.03 tff(12836,plain,
% 135.33/86.03 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~v121(constB109, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex0)) | (~v121(constB109, bitIndex0)) | v124(constB109, bitIndex0))),
% 135.33/86.03 inference(transitivity,[status(thm)],[12835, 12833])).
% 135.33/86.03 tff(12837,plain,
% 135.33/86.03 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~v121(constB109, bitIndex0)))),
% 135.33/86.03 inference(quant_inst,[status(thm)],[])).
% 135.33/86.03 tff(12838,plain,
% 135.33/86.03 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex0)) | (~v121(constB109, bitIndex0)) | v124(constB109, bitIndex0)),
% 135.33/86.03 inference(modus_ponens,[status(thm)],[12837, 12836])).
% 135.33/86.03 tff(12839,plain,
% 135.33/86.03 ($false),
% 135.33/86.03 inference(unit_resolution,[status(thm)],[12838, 1380, 795, 6903, 12832, 12831])).
% 135.33/86.03 tff(12840,plain,(v124(constB109, bitIndex0) | (~v121(constB109, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.03 tff(12841,plain,
% 135.33/86.03 (~v121(constB109, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12840, 12830])).
% 135.33/86.04 tff(12842,assumption,(~v121(constB109, bitIndex0)), introduced(assumption)).
% 135.33/86.04 tff(12843,assumption,(v123(constB110, bitIndex0)), introduced(assumption)).
% 135.33/86.04 tff(12844,plain,
% 135.33/86.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex0)) | (~v123(constB110, bitIndex0)) | v121(constB109, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex0)) | (~v123(constB110, bitIndex0)) | v121(constB109, bitIndex0))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12845,plain,
% 135.33/86.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex0)) | (~v123(constB110, bitIndex0)) | v121(constB109, bitIndex0))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12846,plain,
% 135.33/86.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex0)) | (~v123(constB110, bitIndex0)) | v121(constB109, bitIndex0)),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12845, 12844])).
% 135.33/86.04 tff(12847,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12846, 1362, 795, 6752, 12843, 12842])).
% 135.33/86.04 tff(12848,plain,((~v123(constB110, bitIndex0)) | v121(constB109, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(12849,plain,
% 135.33/86.04 (~v123(constB110, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12848, 12841])).
% 135.33/86.04 tff(12850,plain,
% 135.33/86.04 (v109(constB109)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[10669, 12814, 12818])).
% 135.33/86.04 tff(12851,plain,
% 135.33/86.04 (v108(constB109)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8743, 669, 12850])).
% 135.33/86.04 tff(12852,plain,
% 135.33/86.04 (v107(constB109)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8739, 658, 12851])).
% 135.33/86.04 tff(12853,plain,
% 135.33/86.04 (v106(constB109)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8735, 12852])).
% 135.33/86.04 tff(12854,plain,
% 135.33/86.04 (v102(constB109)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8727, 619, 12853])).
% 135.33/86.04 tff(12855,plain,
% 135.33/86.04 (v104(constB110)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8723, 12854])).
% 135.33/86.04 tff(12856,plain,
% 135.33/86.04 (v94(constB110)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8715, 12855])).
% 135.33/86.04 tff(12857,assumption,(~v123(constB110, bitIndex0)), introduced(assumption)).
% 135.33/86.04 tff(12858,plain,
% 135.33/86.04 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB110)) | (~v84(constB110, bitIndex0)) | v123(constB110, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB110)) | (~v84(constB110, bitIndex0)) | v123(constB110, bitIndex0))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12859,plain,
% 135.33/86.04 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB110)) | (~v84(constB110, bitIndex0)) | v123(constB110, bitIndex0))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12860,plain,
% 135.33/86.04 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB110)) | (~v84(constB110, bitIndex0)) | v123(constB110, bitIndex0)),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12859, 12858])).
% 135.33/86.04 tff(12861,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12860, 1344, 795, 8832, 7019, 12857])).
% 135.33/86.04 tff(12862,plain,((~v84(constB110, bitIndex0)) | (~v94(constB110)) | v123(constB110, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(12863,plain,
% 135.33/86.04 (~v84(constB110, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12862, 12856, 12849])).
% 135.33/86.04 tff(12864,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12746, 805, 795, 6929, 6941, 7027, 7003])).
% 135.33/86.04 tff(12865,plain,((~v84(constB111, bitIndex0)) | v84(constB110, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(12866,plain,
% 135.33/86.04 (~v84(constB111, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12865, 12863])).
% 135.33/86.04 tff(12867,plain,
% 135.33/86.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB117, bitIndex0)) | (~v115(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB117, bitIndex0)) | (~v115(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12868,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB117, bitIndex0)) | (~v115(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12869,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB117, bitIndex0)) | (~v115(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 135.33/86.04 tff(12870,plain,
% 135.33/86.04 (~v84(constB117, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12869, 3011, 10715])).
% 135.33/86.04 tff(12871,plain,
% 135.33/86.04 (~v84(constB116, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[6557, 12870])).
% 135.33/86.04 tff(12872,plain,
% 135.33/86.04 (~v84(constB117, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12183, 2665, 10715])).
% 135.33/86.04 tff(12873,plain,
% 135.33/86.04 (~v84(constB116, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[6546, 12872])).
% 135.33/86.04 tff(12874,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[10677, 12873, 12871, 6519])).
% 135.33/86.04 tff(12875,plain,((~v115(constB117)) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(12876,plain,
% 135.33/86.04 (~v115(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12875, 11523])).
% 135.33/86.04 tff(12877,plain,
% 135.33/86.04 (v84(constB116, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12332, 7774, 7690])).
% 135.33/86.04 tff(12878,plain,
% 135.33/86.04 (v84(constB116, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12204, 7774, 12877])).
% 135.33/86.04 tff(12879,plain,
% 135.33/86.04 (v84(constB117, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[6557, 12878])).
% 135.33/86.04 tff(12880,plain,
% 135.33/86.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB117, bitIndex0)) | (~v119(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB117, bitIndex0)) | (~v119(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12881,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB117, bitIndex0)) | (~v119(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12882,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB117, bitIndex0)) | (~v119(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12881, 12880])).
% 135.33/86.04 tff(12883,plain,
% 135.33/86.04 (~v119(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12882, 3173, 12879])).
% 135.33/86.04 tff(12884,assumption,(v107(constB117)), introduced(assumption)).
% 135.33/86.04 tff(12885,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB117) | v119(constB117) | (~v107(constB117)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB117) | v119(constB117) | (~v107(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12886,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB117) | v119(constB117) | (~v107(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12887,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB117) | v119(constB117) | (~v107(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12886, 12885])).
% 135.33/86.04 tff(12888,plain,
% 135.33/86.04 (v108(constB117) | v119(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12887, 3195, 12884])).
% 135.33/86.04 tff(12889,plain,
% 135.33/86.04 (v108(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12888, 12883])).
% 135.33/86.04 tff(12890,plain,
% 135.33/86.04 (v84(constB117, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[11901, 12201])).
% 135.33/86.04 tff(12891,plain,
% 135.33/86.04 (~v118(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[11998, 2842, 12890])).
% 135.33/86.04 tff(12892,plain,
% 135.33/86.04 (v84(constB117, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[6546, 12877])).
% 135.33/86.04 tff(12893,plain,
% 135.33/86.04 (~v113(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[6523, 1119, 12892])).
% 135.33/86.04 tff(12894,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB117) | v113(constB117) | (~v112(constB117)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB117) | v113(constB117) | (~v112(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12895,plain,
% 135.33/86.04 ((v113(constB117) | (~v112(constB117)) | v145(constB117)) <=> (v145(constB117) | v113(constB117) | (~v112(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12896,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB117) | (~v112(constB117)) | v145(constB117))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB117) | v113(constB117) | (~v112(constB117))))),
% 135.33/86.04 inference(monotonicity,[status(thm)],[12895])).
% 135.33/86.04 tff(12897,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB117) | (~v112(constB117)) | v145(constB117))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB117) | v113(constB117) | (~v112(constB117)))),
% 135.33/86.04 inference(transitivity,[status(thm)],[12896, 12894])).
% 135.33/86.04 tff(12898,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB117) | (~v112(constB117)) | v145(constB117))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12899,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB117) | v113(constB117) | (~v112(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12898, 12897])).
% 135.33/86.04 tff(12900,plain,
% 135.33/86.04 (v113(constB117) | (~v112(constB117))),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12899, 2894, 2])).
% 135.33/86.04 tff(12901,plain,
% 135.33/86.04 (~v112(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12900, 12893])).
% 135.33/86.04 tff(12902,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB117) | v115(constB117) | (~v111(constB117)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB117) | v115(constB117) | (~v111(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12903,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB117) | v115(constB117) | (~v111(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12904,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB117) | v115(constB117) | (~v111(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12903, 12902])).
% 135.33/86.04 tff(12905,plain,
% 135.33/86.04 (~v111(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12904, 2911, 6143, 12901])).
% 135.33/86.04 tff(12906,plain,
% 135.33/86.04 (~v116(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12187, 1130, 12892])).
% 135.33/86.04 tff(12907,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB117) | v116(constB117) | (~v110(constB117)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB117) | v116(constB117) | (~v110(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12908,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB117) | v116(constB117) | (~v110(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12909,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB117) | v116(constB117) | (~v110(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12908, 12907])).
% 135.33/86.04 tff(12910,plain,
% 135.33/86.04 (v111(constB117) | (~v110(constB117))),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12909, 2932, 12906])).
% 135.33/86.04 tff(12911,plain,
% 135.33/86.04 (~v110(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12910, 12905])).
% 135.33/86.04 tff(12912,plain,
% 135.33/86.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB117, bitIndex0)) | (~v172(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB117, bitIndex0)) | (~v172(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12913,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB117, bitIndex0)) | (~v172(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12914,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB117, bitIndex0)) | (~v172(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12913, 12912])).
% 135.33/86.04 tff(12915,plain,
% 135.33/86.04 (~v172(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12914, 7708, 12879])).
% 135.33/86.04 tff(12916,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB117)) | v172(constB117) | v110(constB117))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB117)) | v172(constB117) | v110(constB117))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12917,plain,
% 135.33/86.04 ((v110(constB117) | (~v109(constB117)) | v172(constB117)) <=> ((~v109(constB117)) | v172(constB117) | v110(constB117))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12918,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB117) | (~v109(constB117)) | v172(constB117))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB117)) | v172(constB117) | v110(constB117)))),
% 135.33/86.04 inference(monotonicity,[status(thm)],[12917])).
% 135.33/86.04 tff(12919,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB117) | (~v109(constB117)) | v172(constB117))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB117)) | v172(constB117) | v110(constB117))),
% 135.33/86.04 inference(transitivity,[status(thm)],[12918, 12916])).
% 135.33/86.04 tff(12920,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB117) | (~v109(constB117)) | v172(constB117))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12921,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB117)) | v172(constB117) | v110(constB117)),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12920, 12919])).
% 135.33/86.04 tff(12922,plain,
% 135.33/86.04 (~v109(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12921, 2871, 12915, 12911])).
% 135.33/86.04 tff(12923,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB117) | v118(constB117) | (~v108(constB117)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB117) | v118(constB117) | (~v108(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12924,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB117) | v118(constB117) | (~v108(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12925,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB117) | v118(constB117) | (~v108(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12924, 12923])).
% 135.33/86.04 tff(12926,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12925, 2856, 12922, 12891, 12889])).
% 135.33/86.04 tff(12927,plain,(v94(constB116) | (~v107(constB117)) | v115(constB117) | v145(constB117) | (~v84(constB115, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(12928,plain,
% 135.33/86.04 (~v107(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12927, 12330, 12143, 12876, 2])).
% 135.33/86.04 tff(12929,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB117) | (~v106(constB117)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB117) | (~v106(constB117)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12930,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB117) | (~v106(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12931,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB117) | (~v106(constB117))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12930, 12929])).
% 135.33/86.04 tff(12932,plain,
% 135.33/86.04 (~v106(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12931, 3161, 12928])).
% 135.33/86.04 tff(12933,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB117)) | v26(constB117) | v106(constB117))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB117)) | v26(constB117) | v106(constB117))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12934,plain,
% 135.33/86.04 ((v26(constB117) | v106(constB117) | (~v102(constB117))) <=> ((~v102(constB117)) | v26(constB117) | v106(constB117))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12935,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB117) | v106(constB117) | (~v102(constB117)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB117)) | v26(constB117) | v106(constB117)))),
% 135.33/86.04 inference(monotonicity,[status(thm)],[12934])).
% 135.33/86.04 tff(12936,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB117) | v106(constB117) | (~v102(constB117)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB117)) | v26(constB117) | v106(constB117))),
% 135.33/86.04 inference(transitivity,[status(thm)],[12935, 12933])).
% 135.33/86.04 tff(12937,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB117) | v106(constB117) | (~v102(constB117)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12938,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB117)) | v26(constB117) | v106(constB117)),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12937, 12936])).
% 135.33/86.04 tff(12939,plain,
% 135.33/86.04 ((~v102(constB117)) | v106(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12938, 3146, 5440])).
% 135.33/86.04 tff(12940,plain,
% 135.33/86.04 (~v102(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12939, 12932])).
% 135.33/86.04 tff(12941,plain,
% 135.33/86.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB117, constB118)) | (~v104(constB118)) | v102(constB117))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB117, constB118)) | (~v104(constB118)) | v102(constB117))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12942,plain,
% 135.33/86.04 (((~nextState(constB117, constB118)) | v102(constB117) | (~v104(constB118))) <=> ((~nextState(constB117, constB118)) | (~v104(constB118)) | v102(constB117))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12943,plain,
% 135.33/86.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB117, constB118)) | v102(constB117) | (~v104(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB117, constB118)) | (~v104(constB118)) | v102(constB117)))),
% 135.33/86.04 inference(monotonicity,[status(thm)],[12942])).
% 135.33/86.04 tff(12944,plain,
% 135.33/86.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB117, constB118)) | v102(constB117) | (~v104(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB117, constB118)) | (~v104(constB118)) | v102(constB117))),
% 135.33/86.04 inference(transitivity,[status(thm)],[12943, 12941])).
% 135.33/86.04 tff(12945,plain,
% 135.33/86.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB117, constB118)) | v102(constB117) | (~v104(constB118)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12946,plain,
% 135.33/86.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB117, constB118)) | (~v104(constB118)) | v102(constB117)),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 135.33/86.04 tff(12947,plain,
% 135.33/86.04 ((~v104(constB118)) | v102(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12946, 3128, 5455])).
% 135.33/86.04 tff(12948,plain,
% 135.33/86.04 (~v104(constB118)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12947, 12940])).
% 135.33/86.04 tff(12949,plain,
% 135.33/86.04 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v94(constB118)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v94(constB118)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12950,plain,
% 135.33/86.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB117, constB118)) | v104(constB118) | (~v94(constB118)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12951,plain,
% 135.33/86.04 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB117, constB118)) | v104(constB118) | (~v94(constB118))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12950, 12949])).
% 135.33/86.04 tff(12952,plain,
% 135.33/86.04 (v104(constB118) | (~v94(constB118))),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12951, 3113, 5455])).
% 135.33/86.04 tff(12953,plain,
% 135.33/86.04 (~v94(constB118)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12952, 12948])).
% 135.33/86.04 tff(12954,plain,
% 135.33/86.04 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB109)) | v124(constB109, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB109)) | v124(constB109, bitIndex2))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12955,plain,
% 135.33/86.04 (((~v172(constB109)) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB109)) | v124(constB109, bitIndex2))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12956,plain,
% 135.33/86.04 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB109)) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB109)) | v124(constB109, bitIndex2)))),
% 135.33/86.04 inference(monotonicity,[status(thm)],[12955])).
% 135.33/86.04 tff(12957,plain,
% 135.33/86.04 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB109)) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB109)) | v124(constB109, bitIndex2))),
% 135.33/86.04 inference(transitivity,[status(thm)],[12956, 12954])).
% 135.33/86.04 tff(12958,plain,
% 135.33/86.04 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB109)) | (~less_3(bitIndex2)) | v124(constB109, bitIndex2) | (~b110(bitIndex2)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12959,plain,
% 135.33/86.04 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB109)) | v124(constB109, bitIndex2)),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 135.33/86.04 tff(12960,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12959, 2066, 1798, 767, 10642, 10612])).
% 135.33/86.04 tff(12961,plain,(v124(constB109, bitIndex2) | (~v172(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(12962,plain,
% 135.33/86.04 (v124(constB109, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12961, 12820])).
% 135.33/86.04 tff(12963,plain,
% 135.33/86.04 (v121(constB109, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12425, 12962])).
% 135.33/86.04 tff(12964,plain,
% 135.33/86.04 (v123(constB110, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12431, 12963])).
% 135.33/86.04 tff(12965,plain,
% 135.33/86.04 (v84(constB110, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12489, 12856, 12964])).
% 135.33/86.04 tff(12966,plain,
% 135.33/86.04 (v84(constB111, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[6946, 12965])).
% 135.33/86.04 tff(12967,plain,
% 135.33/86.04 (v124(constB109, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[10650, 12820])).
% 135.33/86.04 tff(12968,plain,
% 135.33/86.04 (v121(constB109, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[10486, 12967])).
% 135.33/86.04 tff(12969,plain,
% 135.33/86.04 (v123(constB110, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[10494, 12968])).
% 135.33/86.04 tff(12970,plain,
% 135.33/86.04 (v84(constB110, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8840, 12856, 12969])).
% 135.33/86.04 tff(12971,plain,
% 135.33/86.04 (v84(constB111, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[6993, 12970])).
% 135.33/86.04 tff(12972,plain,
% 135.33/86.04 (~v172(constB111)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7001, 12971])).
% 135.33/86.04 tff(12973,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB111, bitIndex0) | (~v118(constB111)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB111, bitIndex0) | (~v118(constB111)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12974,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB111, bitIndex0) | (~v118(constB111)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12975,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB111, bitIndex0) | (~v118(constB111))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12974, 12973])).
% 135.33/86.04 tff(12976,plain,
% 135.33/86.04 (~v118(constB111)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12975, 2642, 7020])).
% 135.33/86.04 tff(12977,plain,
% 135.33/86.04 (v94(constB112)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12454, 7020])).
% 135.33/86.04 tff(12978,plain,
% 135.33/86.04 (v94(constB114)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12475, 12977])).
% 135.33/86.04 tff(12979,plain,
% 135.33/86.04 (v104(constB114)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7525, 12978])).
% 135.33/86.04 tff(12980,plain,
% 135.33/86.04 (v102(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7533, 12979])).
% 135.33/86.04 tff(12981,plain,
% 135.33/86.04 (v106(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7541, 12980])).
% 135.33/86.04 tff(12982,plain,
% 135.33/86.04 (v107(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7545, 3161, 12981])).
% 135.33/86.04 tff(12983,plain,
% 135.33/86.04 (v84(constB117, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[5435, 5782])).
% 135.33/86.04 tff(12984,plain,
% 135.33/86.04 (v84(constB116, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[11844, 12983])).
% 135.33/86.04 tff(12985,plain,
% 135.33/86.04 (v84(constB115, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[11983, 12984, 5782])).
% 135.33/86.04 tff(12986,plain,
% 135.33/86.04 (v84(constB114, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12485, 12985])).
% 135.33/86.04 tff(12987,plain,
% 135.33/86.04 (~v116(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8341, 12986])).
% 135.33/86.04 tff(12988,plain,
% 135.33/86.04 (v94(constB112)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7416, 7237])).
% 135.33/86.04 tff(12989,plain,
% 135.33/86.04 (v84(constB112, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8650, 12532, 12988])).
% 135.33/86.04 tff(12990,plain,
% 135.33/86.04 (v84(constB113, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7414, 12989])).
% 135.33/86.04 tff(12991,plain,
% 135.33/86.04 (v84(constB113, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12548, 8658, 8529])).
% 135.33/86.04 tff(12992,plain,
% 135.33/86.04 (~v145(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7339, 12991])).
% 135.33/86.04 tff(12993,plain,
% 135.33/86.04 (~v84(constB113, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7401, 12990, 12991, 7237, 12992])).
% 135.33/86.04 tff(12994,plain,
% 135.33/86.04 (v145(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8473, 7286, 8160])).
% 135.33/86.04 tff(12995,plain,
% 135.33/86.04 (~v84(constB113, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7339, 12994])).
% 135.33/86.04 tff(12996,plain,
% 135.33/86.04 (v116(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12548, 12995, 8658])).
% 135.33/86.04 tff(12997,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB113, bitIndex1) | (~v116(constB113)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB113, bitIndex1) | (~v116(constB113)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(12998,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB113, bitIndex1) | (~v116(constB113)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(12999,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB113, bitIndex1) | (~v116(constB113))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 135.33/86.04 tff(13000,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12999, 1268, 7286, 12996])).
% 135.33/86.04 tff(13001,plain,(v84(constB113, bitIndex1) | (~v115(constB111)) | v172(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13002,plain,
% 135.33/86.04 (v172(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13001, 12993, 8658])).
% 135.33/86.04 tff(13003,plain,
% 135.33/86.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB113, bitIndex0)) | (~v172(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB113, bitIndex0)) | (~v172(constB113)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(13004,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB113, bitIndex0)) | (~v172(constB113)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(13005,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB113, bitIndex0)) | (~v172(constB113))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[13004, 13003])).
% 135.33/86.04 tff(13006,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13005, 7708, 13002, 12990])).
% 135.33/86.04 tff(13007,plain,((~v115(constB111)) | (~v107(constB113)) | v116(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13008,plain,
% 135.33/86.04 (~v115(constB111)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13007, 12987, 12982])).
% 135.33/86.04 tff(13009,assumption,(v124(constB111, bitIndex2)), introduced(assumption)).
% 135.33/86.04 tff(13010,assumption,(~v115(constB111)), introduced(assumption)).
% 135.33/86.04 tff(13011,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8470, 2427, 2424, 767, 7250, 7259, 8607, 8615, 7047, 13010, 13009])).
% 135.33/86.04 tff(13012,plain,((~v124(constB111, bitIndex2)) | v145(constB111) | v116(constB111) | v118(constB111) | v113(constB111) | v172(constB111) | v115(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13013,plain,
% 135.33/86.04 (~v124(constB111, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13012, 7069, 7047, 13008, 6959, 12976, 6955])).
% 135.33/86.04 tff(13014,assumption,(v121(constB111, bitIndex2)), introduced(assumption)).
% 135.33/86.04 tff(13015,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8405, 1380, 767, 7083, 8237, 13014])).
% 135.33/86.04 tff(13016,plain,((~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13017,plain,
% 135.33/86.04 (~v121(constB111, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13016, 13013])).
% 135.33/86.04 tff(13018,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[5794, 777, 767, 5455, 5778, 5777, 5355])).
% 135.33/86.04 tff(13019,plain,(v84(constB118, bitIndex2) | v94(constB118) | (~v84(constB117, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13020,plain,
% 135.33/86.04 (~v84(constB117, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13019, 5778, 5777])).
% 135.33/86.04 tff(13021,plain,
% 135.33/86.04 (v110(constB117)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[11920, 12983, 13020])).
% 135.33/86.04 tff(13022,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[5404, 680, 5784, 13021])).
% 135.33/86.04 tff(13023,plain,(v94(constB118) | v84(constB118, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13024,plain,
% 135.33/86.04 (v84(constB118, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13023, 5778])).
% 135.33/86.04 tff(13025,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[10686, 805, 767, 5455, 5778, 13024, 6525])).
% 135.33/86.04 tff(13026,plain,(v94(constB118) | v84(constB117, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13027,plain,
% 135.33/86.04 (v84(constB117, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13026, 5778])).
% 135.33/86.04 tff(13028,plain,
% 135.33/86.04 (v84(constB117, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[5386, 5782, 13027])).
% 135.33/86.04 tff(13029,plain,
% 135.33/86.04 (v84(constB116, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[11981, 13028])).
% 135.33/86.04 tff(13030,plain,
% 135.33/86.04 (v84(constB116, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[10750, 13027])).
% 135.33/86.04 tff(13031,plain,
% 135.33/86.04 (v84(constB115, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[12142, 12985, 13030, 13029])).
% 135.33/86.04 tff(13032,plain,
% 135.33/86.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB114, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB114, bitIndex2))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(13033,plain,
% 135.33/86.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB114, bitIndex2))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(13034,plain,
% 135.33/86.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB114, constB115)) | v94(constB115) | (~less_3(bitIndex2)) | (~v84(constB115, bitIndex2)) | v84(constB114, bitIndex2)),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[13033, 13032])).
% 135.33/86.04 tff(13035,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13034, 805, 767, 7637, 7649, 7690, 7575])).
% 135.33/86.04 tff(13036,plain,((~v84(constB115, bitIndex2)) | v84(constB114, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13037,plain,
% 135.33/86.04 (v84(constB114, bitIndex2)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13036, 13031])).
% 135.33/86.04 tff(13038,plain,
% 135.33/86.04 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB113, bitIndex2) | (~v172(constB113)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB113, bitIndex2) | (~v172(constB113)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(13039,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB113, bitIndex2) | (~v172(constB113)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(13040,plain,
% 135.33/86.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB113, bitIndex2) | (~v172(constB113))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[13039, 13038])).
% 135.33/86.04 tff(13041,plain,
% 135.33/86.04 ($false),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13040, 5263, 12556, 7319])).
% 135.33/86.04 tff(13042,plain,(v84(constB113, bitIndex2) | (~v172(constB113))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.04 tff(13043,plain,
% 135.33/86.04 (~v172(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13042, 7319])).
% 135.33/86.04 tff(13044,plain,
% 135.33/86.04 (v111(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8540, 8529, 7319, 8160])).
% 135.33/86.04 tff(13045,plain,
% 135.33/86.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB113)) | (~v84(constB113, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB113)) | (~v84(constB113, bitIndex1)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(13046,plain,
% 135.33/86.04 (((~v84(constB113, bitIndex1)) | (~v145(constB113))) <=> ((~v145(constB113)) | (~v84(constB113, bitIndex1)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(13047,plain,
% 135.33/86.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB113)) | (~v84(constB113, bitIndex1))))),
% 135.33/86.04 inference(monotonicity,[status(thm)],[13046])).
% 135.33/86.04 tff(13048,plain,
% 135.33/86.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB113)) | (~v84(constB113, bitIndex1)))),
% 135.33/86.04 inference(transitivity,[status(thm)],[13047, 13045])).
% 135.33/86.04 tff(13049,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB113, bitIndex1)) | (~v145(constB113)))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(13050,plain,
% 135.33/86.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB113)) | (~v84(constB113, bitIndex1))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[13049, 13048])).
% 135.33/86.04 tff(13051,plain,
% 135.33/86.04 (~v145(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13050, 816, 7350])).
% 135.33/86.04 tff(13052,plain,
% 135.33/86.04 (~v112(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7386, 2894, 13051, 7379])).
% 135.33/86.04 tff(13053,plain,
% 135.33/86.04 (v115(constB113) | (~v111(constB113))),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[7395, 2911, 13052])).
% 135.33/86.04 tff(13054,plain,
% 135.33/86.04 (v115(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13053, 13044])).
% 135.33/86.04 tff(13055,plain,
% 135.33/86.04 ((~v84(constB113, bitIndex0)) | (~v84(constB113, bitIndex1)) | v116(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8348, 1076, 7319])).
% 135.33/86.04 tff(13056,plain,
% 135.33/86.04 (~v84(constB113, bitIndex0)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13055, 8529, 7350])).
% 135.33/86.04 tff(13057,plain,
% 135.33/86.04 (v84(constB113, bitIndex1)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[8263, 7405, 8160])).
% 135.33/86.04 tff(13058,plain,
% 135.33/86.04 (~v145(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13050, 816, 13057])).
% 135.33/86.04 tff(13059,assumption,(v124(constB113, bitIndex1)), introduced(assumption)).
% 135.33/86.04 tff(13060,plain,
% 135.33/86.04 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB113)) | (~v124(constB113, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB113)) | (~v124(constB113, bitIndex1)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(13061,plain,
% 135.33/86.04 (((~v113(constB113)) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB113)) | (~v124(constB113, bitIndex1)))),
% 135.33/86.04 inference(rewrite,[status(thm)],[])).
% 135.33/86.04 tff(13062,plain,
% 135.33/86.04 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB113)) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB113)) | (~v124(constB113, bitIndex1))))),
% 135.33/86.04 inference(monotonicity,[status(thm)],[13061])).
% 135.33/86.04 tff(13063,plain,
% 135.33/86.04 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB113)) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB113)) | (~v124(constB113, bitIndex1)))),
% 135.33/86.04 inference(transitivity,[status(thm)],[13062, 13060])).
% 135.33/86.04 tff(13064,plain,
% 135.33/86.04 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB113)) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b100(bitIndex1))),
% 135.33/86.04 inference(quant_inst,[status(thm)],[])).
% 135.33/86.04 tff(13065,plain,
% 135.33/86.04 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB113)) | (~v124(constB113, bitIndex1))),
% 135.33/86.04 inference(modus_ponens,[status(thm)],[13064, 13063])).
% 135.33/86.04 tff(13066,plain,
% 135.33/86.04 (~v113(constB113)),
% 135.33/86.04 inference(unit_resolution,[status(thm)],[13065, 2167, 2186, 823, 13059])).
% 135.33/86.04 tff(13067,plain,
% 135.33/86.04 (~v118(constB113)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[7353, 2842, 13057])).
% 135.33/86.05 tff(13068,plain,
% 135.33/86.05 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex1)))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13069,plain,
% 135.33/86.05 ((v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex1)))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13070,plain,
% 135.33/86.05 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex1))))),
% 135.33/86.05 inference(monotonicity,[status(thm)],[13069])).
% 135.33/86.05 tff(13071,plain,
% 135.33/86.05 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex1)))),
% 135.33/86.05 inference(transitivity,[status(thm)],[13070, 13068])).
% 135.33/86.05 tff(13072,plain,
% 135.33/86.05 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex1)) | (~v124(constB113, bitIndex1)) | b001(bitIndex1))),
% 135.33/86.05 inference(quant_inst,[status(thm)],[])).
% 135.33/86.05 tff(13073,plain,
% 135.33/86.05 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex1))),
% 135.33/86.05 inference(modus_ponens,[status(thm)],[13072, 13071])).
% 135.33/86.05 tff(13074,plain,
% 135.33/86.05 (v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v115(constB113)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13073, 2601, 2424, 823, 13059, 8529])).
% 135.33/86.05 tff(13075,plain,
% 135.33/86.05 (v115(constB113)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13074, 13067, 8160, 13066, 13058])).
% 135.33/86.05 tff(13076,plain,
% 135.33/86.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v115(constB113)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB113, bitIndex2)) | (~v115(constB113)))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13077,plain,
% 135.33/86.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB113, bitIndex2)) | (~v115(constB113)))),
% 135.33/86.05 inference(quant_inst,[status(thm)],[])).
% 135.33/86.05 tff(13078,plain,
% 135.33/86.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB113, bitIndex2)) | (~v115(constB113))),
% 135.33/86.05 inference(modus_ponens,[status(thm)],[13077, 13076])).
% 135.33/86.05 tff(13079,plain,
% 135.33/86.05 (~v84(constB113, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13078, 2665, 13075])).
% 135.33/86.05 tff(13080,plain,
% 135.33/86.05 (~v84(constB112, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[7328, 13079])).
% 135.33/86.05 tff(13081,plain,
% 135.33/86.05 (~v123(constB112, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8203, 1674, 767, 8545, 13080])).
% 135.33/86.05 tff(13082,plain,
% 135.33/86.05 (~v121(constB111, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8207, 1708, 767, 7094, 13081])).
% 135.33/86.05 tff(13083,plain,
% 135.33/86.05 (~v124(constB111, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8214, 1728, 767, 7083, 13082])).
% 135.33/86.05 tff(13084,plain,
% 135.33/86.05 (~v123(constB112, bitIndex0)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8650, 8166, 8545])).
% 135.33/86.05 tff(13085,plain,
% 135.33/86.05 (~v121(constB111, bitIndex0)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8653, 13084])).
% 135.33/86.05 tff(13086,plain,
% 135.33/86.05 (~v124(constB111, bitIndex0)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8656, 13085])).
% 135.33/86.05 tff(13087,plain,
% 135.33/86.05 (~v118(constB111)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8228, 1148, 1145, 795, 13086])).
% 135.33/86.05 tff(13088,plain,
% 135.33/86.05 (v84(constB112, bitIndex1)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8480, 805, 823, 7293, 7305, 13057])).
% 135.33/86.05 tff(13089,plain,
% 135.33/86.05 (v123(constB112, bitIndex1)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8552, 1344, 823, 8545, 13088])).
% 135.33/86.05 tff(13090,plain,
% 135.33/86.05 (v121(constB111, bitIndex1)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8557, 1362, 823, 7094, 13089])).
% 135.33/86.05 tff(13091,plain,
% 135.33/86.05 (v124(constB111, bitIndex1)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8561, 1380, 823, 7083, 13090])).
% 135.33/86.05 tff(13092,plain,
% 135.33/86.05 (v118(constB111) | v172(constB111)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8644, 2601, 2424, 823, 7250, 7259, 8615, 13010, 13091])).
% 135.33/86.05 tff(13093,plain,
% 135.33/86.05 (v172(constB111)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13092, 13087])).
% 135.33/86.05 tff(13094,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8221, 2066, 1798, 767, 13093, 13083])).
% 135.33/86.05 tff(13095,plain,(v84(constB113, bitIndex0) | v145(constB111) | v116(constB111) | v113(constB111) | v115(constB111) | (~v94(constB112)) | v172(constB113) | (~v124(constB113, bitIndex1)) | v116(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13096,plain,
% 135.33/86.05 (~v124(constB113, bitIndex1)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13095, 13056, 7250, 8160, 13010, 8545, 8529, 8615, 7259])).
% 135.33/86.05 tff(13097,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8517, 13096, 13054])).
% 135.33/86.05 tff(13098,plain,(v116(constB113) | v145(constB111) | v172(constB113) | v115(constB111) | (~v94(constB112)) | v113(constB111) | v116(constB111) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13099,plain,
% 135.33/86.05 (~v84(constB113, bitIndex1)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13098, 12529, 8529, 7250, 13010, 7319, 13043, 7259, 8615])).
% 135.33/86.05 tff(13100,plain,
% 135.33/86.05 (v145(constB113)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8473, 13099, 13043])).
% 135.33/86.05 tff(13101,plain,
% 135.33/86.05 (v94(constB114)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[7610, 7319])).
% 135.33/86.05 tff(13102,plain,
% 135.33/86.05 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB114)) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB114)) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13103,plain,
% 135.33/86.05 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB114)) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2))),
% 135.33/86.05 inference(quant_inst,[status(thm)],[])).
% 135.33/86.05 tff(13104,plain,
% 135.33/86.05 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB114)) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2)),
% 135.33/86.05 inference(modus_ponens,[status(thm)],[13103, 13102])).
% 135.33/86.05 tff(13105,plain,
% 135.33/86.05 ((~v94(constB114)) | v123(constB114, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13104, 1344, 767, 7603])).
% 135.33/86.05 tff(13106,plain,
% 135.33/86.05 (v123(constB114, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13105, 13101])).
% 135.33/86.05 tff(13107,assumption,(v123(constB114, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13108,assumption,(~v121(constB113, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13109,plain,
% 135.33/86.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v121(constB113, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v121(constB113, bitIndex2))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13110,plain,
% 135.33/86.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB113, constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v121(constB113, bitIndex2))),
% 135.33/86.05 inference(quant_inst,[status(thm)],[])).
% 135.33/86.05 tff(13111,plain,
% 135.33/86.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB113, constB114)) | (~less_3(bitIndex2)) | (~v123(constB114, bitIndex2)) | v121(constB113, bitIndex2)),
% 135.33/86.05 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 135.33/86.05 tff(13112,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13111, 1362, 767, 7467, 13108, 13107])).
% 135.33/86.05 tff(13113,plain,((~v123(constB114, bitIndex2)) | v121(constB113, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13114,plain,
% 135.33/86.05 (v121(constB113, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13113, 13106])).
% 135.33/86.05 tff(13115,assumption,(v121(constB113, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13116,assumption,(~v124(constB113, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13117,plain,
% 135.33/86.05 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13118,plain,
% 135.33/86.05 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB113) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2)))),
% 135.33/86.05 inference(quant_inst,[status(thm)],[])).
% 135.33/86.05 tff(13119,plain,
% 135.33/86.05 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB113) | (~less_3(bitIndex2)) | v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2))),
% 135.33/86.05 inference(modus_ponens,[status(thm)],[13118, 13117])).
% 135.33/86.05 tff(13120,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13119, 1380, 767, 7491, 13116, 13115])).
% 135.33/86.05 tff(13121,plain,(v124(constB113, bitIndex2) | (~v121(constB113, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13122,plain,
% 135.33/86.05 (v124(constB113, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13121, 13114])).
% 135.33/86.05 tff(13123,assumption,(v124(constB113, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13124,plain,
% 135.33/86.05 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB113)) | (~v124(constB113, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB113)) | (~v124(constB113, bitIndex2)))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13125,plain,
% 135.33/86.05 (((~v145(constB113)) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB113)) | (~v124(constB113, bitIndex2)))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13126,plain,
% 135.33/86.05 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB113)) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB113)) | (~v124(constB113, bitIndex2))))),
% 135.33/86.05 inference(monotonicity,[status(thm)],[13125])).
% 135.33/86.05 tff(13127,plain,
% 135.33/86.05 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB113)) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB113)) | (~v124(constB113, bitIndex2)))),
% 135.33/86.05 inference(transitivity,[status(thm)],[13126, 13124])).
% 135.33/86.05 tff(13128,plain,
% 135.33/86.05 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB113)) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b010(bitIndex2))),
% 135.33/86.05 inference(quant_inst,[status(thm)],[])).
% 135.33/86.05 tff(13129,plain,
% 135.33/86.05 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB113)) | (~v124(constB113, bitIndex2))),
% 135.33/86.05 inference(modus_ponens,[status(thm)],[13128, 13127])).
% 135.33/86.05 tff(13130,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13129, 1419, 1416, 767, 7331, 13123])).
% 135.33/86.05 tff(13131,plain,((~v124(constB113, bitIndex2)) | (~v145(constB113))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13132,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13131, 13122, 13100])).
% 135.33/86.05 tff(13133,plain,(v84(constB113, bitIndex2) | v116(constB113) | v145(constB111) | v115(constB111) | v116(constB111) | v113(constB111) | (~v84(constB114, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13134,plain,
% 135.33/86.05 (v84(constB113, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13133, 6955, 12987, 13037, 6959, 13008, 7069])).
% 135.33/86.05 tff(13135,plain,
% 135.33/86.05 (v84(constB112, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8543, 13134])).
% 135.33/86.05 tff(13136,assumption,(~v123(constB112, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13137,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8394, 1344, 767, 8545, 7320, 13136])).
% 135.33/86.05 tff(13138,plain,((~v84(constB112, bitIndex2)) | (~v94(constB112)) | v123(constB112, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13139,plain,
% 135.33/86.05 (v123(constB112, bitIndex2)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13138, 13135, 12977])).
% 135.33/86.05 tff(13140,assumption,(v123(constB112, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13141,assumption,(~v121(constB111, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13142,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[8398, 1362, 767, 7094, 13141, 13140])).
% 135.33/86.05 tff(13143,plain,((~v123(constB112, bitIndex2)) | v121(constB111, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13144,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13143, 13139, 13017])).
% 135.33/86.05 tff(13145,plain,(v94(constB118) | v172(constB111) | v84(constB111, bitIndex0) | (~v84(constB111, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13146,plain,
% 135.33/86.05 ($false),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13145, 12972, 12966, 12953, 12866])).
% 135.33/86.05 tff(13147,plain,((~v145(constB103)) | (~v94(constB108)) | v145(constB117) | (~v84(constB118, bitIndex2)) | (~v84(constB118, bitIndex1)) | (~v84(constB118, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.33/86.05 tff(13148,plain,
% 135.33/86.05 (~v145(constB103)),
% 135.33/86.05 inference(unit_resolution,[status(thm)],[13147, 5770, 6207, 6505, 5568, 5520])).
% 135.33/86.05 tff(13149,assumption,(~v94(constB100)), introduced(assumption)).
% 135.33/86.05 tff(13150,assumption,(~v84(constB100, bitIndex2)), introduced(assumption)).
% 135.33/86.05 tff(13151,assumption,(~v84(constB100, bitIndex1)), introduced(assumption)).
% 135.33/86.05 tff(13152,plain,
% 135.33/86.05 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13153,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_99_1')).
% 135.33/86.05 tff(13154,plain,
% 135.33/86.05 (nextState(constB99, constB100)),
% 135.33/86.05 inference(modus_ponens,[status(thm)],[13153, 13152])).
% 135.33/86.05 tff(13155,plain,
% 135.33/86.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB100, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB100, bitIndex2))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13156,plain,
% 135.33/86.05 (((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB100, bitIndex2) | (~v84(constB99, bitIndex2))) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB100, bitIndex2))),
% 135.33/86.05 inference(rewrite,[status(thm)],[])).
% 135.33/86.05 tff(13157,plain,
% 135.33/86.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB100, bitIndex2) | (~v84(constB99, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB100, bitIndex2)))),
% 135.33/86.05 inference(monotonicity,[status(thm)],[13156])).
% 135.33/86.05 tff(13158,plain,
% 135.33/86.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB100, bitIndex2) | (~v84(constB99, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB100, bitIndex2))),
% 135.33/86.05 inference(transitivity,[status(thm)],[13157, 13155])).
% 135.33/86.05 tff(13159,plain,
% 135.33/86.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB100, bitIndex2) | (~v84(constB99, bitIndex2)))),
% 135.33/86.05 inference(quant_inst,[status(thm)],[])).
% 135.33/86.05 tff(13160,plain,
% 135.33/86.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB100, bitIndex2)),
% 135.33/86.05 inference(modus_ponens,[status(thm)],[13159, 13158])).
% 135.41/86.05 tff(13161,plain,
% 135.41/86.05 (~v84(constB99, bitIndex2)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13160, 777, 767, 13154, 13149, 13150])).
% 135.41/86.05 tff(13162,assumption,(~v84(constB99, bitIndex0)), introduced(assumption)).
% 135.41/86.05 tff(13163,plain,
% 135.41/86.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB100, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB100, bitIndex1))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13164,plain,
% 135.41/86.05 (((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB100, bitIndex1) | (~v84(constB99, bitIndex1))) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB100, bitIndex1))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13165,plain,
% 135.41/86.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB100, bitIndex1) | (~v84(constB99, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB100, bitIndex1)))),
% 135.41/86.05 inference(monotonicity,[status(thm)],[13164])).
% 135.41/86.05 tff(13166,plain,
% 135.41/86.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB100, bitIndex1) | (~v84(constB99, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB100, bitIndex1))),
% 135.41/86.05 inference(transitivity,[status(thm)],[13165, 13163])).
% 135.41/86.05 tff(13167,plain,
% 135.41/86.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB100, bitIndex1) | (~v84(constB99, bitIndex1)))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13168,plain,
% 135.41/86.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB100, bitIndex1)),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13167, 13166])).
% 135.41/86.05 tff(13169,plain,
% 135.41/86.05 (~v84(constB99, bitIndex1)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13168, 777, 823, 13154, 13149, 13151])).
% 135.41/86.05 tff(13170,plain,
% 135.41/86.05 ((~v1(constB99)) <=> (~v1(constB99))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13171,axiom,(~v1(constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_99_1_1')).
% 135.41/86.05 tff(13172,plain,
% 135.41/86.05 (~v1(constB99)),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13171, 13170])).
% 135.41/86.05 tff(13173,plain,
% 135.41/86.05 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13174,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100)))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13175,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB99) | (~nextState(constB99, constB100)) | (~v98(constB100))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13174, 13173])).
% 135.41/86.05 tff(13176,plain,
% 135.41/86.05 (~v98(constB100)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13175, 541, 13154, 13172])).
% 135.41/86.05 tff(13177,plain,
% 135.41/86.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13178,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB99, constB100)) | v96(constB100) | v98(constB100))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13179,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB99, constB100)) | v96(constB100) | v98(constB100)),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13178, 13177])).
% 135.41/86.05 tff(13180,plain,
% 135.41/86.05 (v96(constB100) | v98(constB100)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13179, 555, 13154])).
% 135.41/86.05 tff(13181,plain,
% 135.41/86.05 (v96(constB100)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13180, 13176])).
% 135.41/86.05 tff(13182,plain,
% 135.41/86.05 (v1(constB100) <=> v1(constB100)),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13183,axiom,(v1(constB100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_100_1')).
% 135.41/86.05 tff(13184,plain,
% 135.41/86.05 (v1(constB100)),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13183, 13182])).
% 135.41/86.05 tff(13185,plain,
% 135.41/86.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13186,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100)))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13187,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB99, constB100)) | v95(constB100) | (~v96(constB100)) | (~v1(constB100))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13186, 13185])).
% 135.41/86.05 tff(13188,plain,
% 135.41/86.05 (v95(constB100) | (~v96(constB100))),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13187, 573, 13154, 13184])).
% 135.41/86.05 tff(13189,plain,
% 135.41/86.05 (v95(constB100)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13188, 13181])).
% 135.41/86.05 tff(13190,plain,
% 135.41/86.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13191,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13192,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB99, constB100)) | (~v95(constB100)) | (~v104(constB100)) | v94(constB100)),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13191, 13190])).
% 135.41/86.05 tff(13193,plain,
% 135.41/86.05 ((~v95(constB100)) | (~v104(constB100)) | v94(constB100)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13192, 588, 13154])).
% 135.41/86.05 tff(13194,plain,
% 135.41/86.05 ((~v104(constB100)) | v94(constB100)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13193, 13189])).
% 135.41/86.05 tff(13195,plain,
% 135.41/86.05 (~v104(constB100)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13194, 13149])).
% 135.41/86.05 tff(13196,plain,
% 135.41/86.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13197,plain,
% 135.41/86.05 (((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100)) <=> ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13198,plain,
% 135.41/86.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))))),
% 135.41/86.05 inference(monotonicity,[status(thm)],[13197])).
% 135.41/86.05 tff(13199,plain,
% 135.41/86.05 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99)))),
% 135.41/86.05 inference(transitivity,[status(thm)],[13198, 13196])).
% 135.41/86.05 tff(13200,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB99, constB100)) | (~v102(constB99)) | v104(constB100))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13201,plain,
% 135.41/86.05 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v102(constB99))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13200, 13199])).
% 135.41/86.05 tff(13202,plain,
% 135.41/86.05 (v104(constB100) | (~v102(constB99))),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13201, 604, 13154])).
% 135.41/86.05 tff(13203,plain,
% 135.41/86.05 (~v102(constB99)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13202, 13195])).
% 135.41/86.05 tff(13204,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB99) | (~v106(constB99)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB99) | (~v106(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13205,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB99) | (~v106(constB99)))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13206,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB99) | (~v106(constB99))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13205, 13204])).
% 135.41/86.05 tff(13207,plain,
% 135.41/86.05 (~v106(constB99)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13206, 619, 13203])).
% 135.41/86.05 tff(13208,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB99) | (~v26(constB99)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB99) | (~v26(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13209,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB99) | (~v26(constB99)))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13210,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB99) | (~v26(constB99))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13209, 13208])).
% 135.41/86.05 tff(13211,plain,
% 135.41/86.05 (~v26(constB99)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13210, 630, 13203])).
% 135.41/86.05 tff(13212,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13213,plain,
% 135.41/86.05 ((v26(constB99) | (~v107(constB99)) | v106(constB99)) <=> (v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13214,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | v106(constB99) | (~v107(constB99))))),
% 135.41/86.05 inference(monotonicity,[status(thm)],[13213])).
% 135.41/86.05 tff(13215,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99)))),
% 135.41/86.05 inference(transitivity,[status(thm)],[13214, 13212])).
% 135.41/86.05 tff(13216,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB99) | (~v107(constB99)) | v106(constB99))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13217,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB99) | v106(constB99) | (~v107(constB99))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 135.41/86.05 tff(13218,plain,
% 135.41/86.05 (~v107(constB99)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13217, 644, 13211, 13207])).
% 135.41/86.05 tff(13219,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB99) | (~v108(constB99)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB99) | (~v108(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13220,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB99) | (~v108(constB99)))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13221,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB99) | (~v108(constB99))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 135.41/86.05 tff(13222,plain,
% 135.41/86.05 (~v108(constB99)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13221, 658, 13218])).
% 135.41/86.05 tff(13223,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB99) | (~v109(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB99) | (~v109(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13224,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB99) | (~v109(constB99)))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13225,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB99) | (~v109(constB99))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13224, 13223])).
% 135.41/86.05 tff(13226,plain,
% 135.41/86.05 (~v109(constB99)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13225, 669, 13222])).
% 135.41/86.05 tff(13227,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB99) | (~v110(constB99)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB99) | (~v110(constB99)))),
% 135.41/86.05 inference(rewrite,[status(thm)],[])).
% 135.41/86.05 tff(13228,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB99) | (~v110(constB99)))),
% 135.41/86.05 inference(quant_inst,[status(thm)],[])).
% 135.41/86.05 tff(13229,plain,
% 135.41/86.05 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB99) | (~v110(constB99))),
% 135.41/86.05 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 135.41/86.05 tff(13230,plain,
% 135.41/86.05 (~v110(constB99)),
% 135.41/86.05 inference(unit_resolution,[status(thm)],[13229, 680, 13226])).
% 135.41/86.05 tff(13231,plain,
% 135.41/86.05 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB99) | (~v111(constB99)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB99) | (~v111(constB99)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13232,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB99) | (~v111(constB99)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13233,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB99) | (~v111(constB99))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 135.41/86.06 tff(13234,plain,
% 135.41/86.06 (~v111(constB99)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13233, 691, 13230])).
% 135.41/86.06 tff(13235,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB99) | (~v112(constB99)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB99) | (~v112(constB99)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13236,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB99) | (~v112(constB99)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13237,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB99) | (~v112(constB99))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 135.41/86.06 tff(13238,plain,
% 135.41/86.06 (~v112(constB99)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13237, 702, 13234])).
% 135.41/86.06 tff(13239,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB99) | (~v113(constB99)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB99) | (~v113(constB99)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13240,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB99) | (~v113(constB99)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13241,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB99) | (~v113(constB99))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13240, 13239])).
% 135.41/86.06 tff(13242,plain,
% 135.41/86.06 (~v113(constB99)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13241, 969, 13238])).
% 135.41/86.06 tff(13243,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB99) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB99) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13244,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB99) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13245,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB99) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2)),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13244, 13243])).
% 135.41/86.06 tff(13246,plain,
% 135.41/86.06 (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13245, 983, 13242])).
% 135.41/86.06 tff(13247,plain,
% 135.41/86.06 ($false),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13246, 13169, 13162, 13161])).
% 135.41/86.06 tff(13248,plain,(v84(constB99, bitIndex0) | v94(constB100) | v84(constB100, bitIndex2) | v84(constB100, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.41/86.06 tff(13249,plain,
% 135.41/86.06 (v84(constB99, bitIndex0)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13248, 13151, 13150, 13149])).
% 135.41/86.06 tff(13250,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB99) | (~v145(constB99)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB99) | (~v145(constB99)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13251,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB99) | (~v145(constB99)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13252,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB99) | (~v145(constB99))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13251, 13250])).
% 135.41/86.06 tff(13253,plain,
% 135.41/86.06 (~v145(constB99)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13252, 713, 13238])).
% 135.41/86.06 tff(13254,plain,
% 135.41/86.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v145(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v145(constB99))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13255,plain,
% 135.41/86.06 (((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99)) <=> (v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v145(constB99))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13256,plain,
% 135.41/86.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v145(constB99)))),
% 135.41/86.06 inference(monotonicity,[status(thm)],[13255])).
% 135.41/86.06 tff(13257,plain,
% 135.41/86.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v145(constB99))),
% 135.41/86.06 inference(transitivity,[status(thm)],[13256, 13254])).
% 135.41/86.06 tff(13258,plain,
% 135.41/86.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | v145(constB99))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13259,plain,
% 135.41/86.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v145(constB99)),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13258, 13257])).
% 135.41/86.06 tff(13260,plain,
% 135.41/86.06 (v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0))),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13259, 865, 13253])).
% 135.41/86.06 tff(13261,plain,
% 135.41/86.06 ($false),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13260, 13169, 13161, 13249])).
% 135.41/86.06 tff(13262,plain,(v84(constB100, bitIndex1) | v94(constB100) | v84(constB100, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.41/86.06 tff(13263,plain,
% 135.41/86.06 (v84(constB100, bitIndex1)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13262, 13150, 13149])).
% 135.41/86.06 tff(13264,plain,
% 135.41/86.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB100, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB100, bitIndex1)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13265,plain,
% 135.41/86.06 (((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB100, bitIndex1)) | v84(constB99, bitIndex1)) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB100, bitIndex1)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13266,plain,
% 135.41/86.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB100, bitIndex1)) | v84(constB99, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB100, bitIndex1))))),
% 135.41/86.06 inference(monotonicity,[status(thm)],[13265])).
% 135.41/86.06 tff(13267,plain,
% 135.41/86.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB100, bitIndex1)) | v84(constB99, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB100, bitIndex1)))),
% 135.41/86.06 inference(transitivity,[status(thm)],[13266, 13264])).
% 135.41/86.06 tff(13268,plain,
% 135.41/86.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | (~v84(constB100, bitIndex1)) | v84(constB99, bitIndex1))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13269,plain,
% 135.41/86.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB100, bitIndex1))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13268, 13267])).
% 135.41/86.06 tff(13270,plain,
% 135.41/86.06 (v84(constB99, bitIndex1)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13269, 805, 823, 13154, 13149, 13263])).
% 135.41/86.06 tff(13271,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB99) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB99) | (~v115(constB99)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13272,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB99) | (~v115(constB99)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13273,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB99) | (~v115(constB99))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13272, 13271])).
% 135.41/86.06 tff(13274,plain,
% 135.41/86.06 (~v115(constB99)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13273, 945, 13234])).
% 135.41/86.06 tff(13275,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13276,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13277,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v115(constB99)),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13276, 13275])).
% 135.41/86.06 tff(13278,plain,
% 135.41/86.06 (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13277, 1095, 13274])).
% 135.41/86.06 tff(13279,plain,
% 135.41/86.06 (v84(constB99, bitIndex0)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13278, 13270, 13161])).
% 135.41/86.06 tff(13280,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB99) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB99) | (~v116(constB99)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13281,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB99) | (~v116(constB99)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13282,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB99) | (~v116(constB99))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13281, 13280])).
% 135.41/86.06 tff(13283,plain,
% 135.41/86.06 (~v116(constB99)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13282, 934, 13230])).
% 135.41/86.06 tff(13284,plain,
% 135.41/86.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v116(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v116(constB99))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13285,plain,
% 135.41/86.06 (((~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v116(constB99)) <=> ((~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v116(constB99))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13286,plain,
% 135.41/86.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v116(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v116(constB99)))),
% 135.41/86.06 inference(monotonicity,[status(thm)],[13285])).
% 135.41/86.06 tff(13287,plain,
% 135.41/86.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v116(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v116(constB99))),
% 135.41/86.06 inference(transitivity,[status(thm)],[13286, 13284])).
% 135.41/86.06 tff(13288,plain,
% 135.41/86.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | v116(constB99))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13289,plain,
% 135.41/86.06 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)) | v116(constB99)),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 135.41/86.06 tff(13290,plain,
% 135.41/86.06 ((~v84(constB99, bitIndex1)) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0))),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13289, 1076, 13283])).
% 135.41/86.06 tff(13291,plain,
% 135.41/86.06 ($false),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13290, 13279, 13161, 13270])).
% 135.41/86.06 tff(13292,plain,(v84(constB100, bitIndex2) | v94(constB100)), inference(lemma,lemma(discharge,[]))).
% 135.41/86.06 tff(13293,plain,
% 135.41/86.06 (v84(constB100, bitIndex2)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13292, 13149])).
% 135.41/86.06 tff(13294,assumption,(~v84(constB101, bitIndex2)), introduced(assumption)).
% 135.41/86.06 tff(13295,assumption,(v84(constB100, bitIndex2)), introduced(assumption)).
% 135.41/86.06 tff(13296,plain,
% 135.41/86.06 ((~v1(constB101)) <=> (~v1(constB101))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13297,axiom,(~v1(constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_101_1_1')).
% 135.41/86.06 tff(13298,plain,
% 135.41/86.06 (~v1(constB101)),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13297, 13296])).
% 135.41/86.06 tff(13299,plain,
% 135.41/86.06 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13300,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_100_1')).
% 135.41/86.06 tff(13301,plain,
% 135.41/86.06 (nextState(constB100, constB101)),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13300, 13299])).
% 135.41/86.06 tff(13302,plain,
% 135.41/86.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13303,plain,
% 135.41/86.06 (((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101)) <=> (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13304,plain,
% 135.41/86.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))))),
% 135.41/86.06 inference(monotonicity,[status(thm)],[13303])).
% 135.41/86.06 tff(13305,plain,
% 135.41/86.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101)))),
% 135.41/86.06 inference(transitivity,[status(thm)],[13304, 13302])).
% 135.41/86.06 tff(13306,plain,
% 135.41/86.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB100, constB101)) | (~v95(constB101)) | v1(constB101))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13307,plain,
% 135.41/86.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB101) | (~nextState(constB100, constB101)) | (~v95(constB101))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13306, 13305])).
% 135.41/86.06 tff(13308,plain,
% 135.41/86.06 (~v95(constB101)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13307, 742, 13301, 13298])).
% 135.41/86.06 tff(13309,plain,
% 135.41/86.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13310,plain,
% 135.41/86.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13311,plain,
% 135.41/86.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB100, constB101)) | v95(constB101) | (~v94(constB101))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 135.41/86.06 tff(13312,plain,
% 135.41/86.06 (v95(constB101) | (~v94(constB101))),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13311, 759, 13301])).
% 135.41/86.06 tff(13313,plain,
% 135.41/86.06 (~v94(constB101)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13312, 13308])).
% 135.41/86.06 tff(13314,plain,
% 135.41/86.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB100, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB100, bitIndex2)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13315,plain,
% 135.41/86.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB100, bitIndex2)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13316,plain,
% 135.41/86.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB100, bitIndex2))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 135.41/86.06 tff(13317,plain,
% 135.41/86.06 ($false),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13316, 777, 767, 13301, 13313, 13295, 13294])).
% 135.41/86.06 tff(13318,plain,(v84(constB101, bitIndex2) | (~v84(constB100, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.41/86.06 tff(13319,plain,
% 135.41/86.06 (v84(constB101, bitIndex2)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13318, 13293])).
% 135.41/86.06 tff(13320,assumption,(v113(constB101)), introduced(assumption)).
% 135.41/86.06 tff(13321,assumption,(v84(constB101, bitIndex2)), introduced(assumption)).
% 135.41/86.06 tff(13322,plain,
% 135.41/86.06 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB101)) | (~v84(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB101)) | (~v84(constB101, bitIndex2)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13323,plain,
% 135.41/86.06 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB101)) | (~v84(constB101, bitIndex2)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13324,plain,
% 135.41/86.06 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB101)) | (~v84(constB101, bitIndex2))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13323, 13322])).
% 135.41/86.06 tff(13325,plain,
% 135.41/86.06 ($false),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13324, 1119, 13321, 13320])).
% 135.41/86.06 tff(13326,plain,((~v113(constB101)) | (~v84(constB101, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.41/86.06 tff(13327,plain,
% 135.41/86.06 (~v113(constB101)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13326, 13319])).
% 135.41/86.06 tff(13328,plain,
% 135.41/86.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB100, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB100, bitIndex2)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13329,plain,
% 135.41/86.06 (((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB100, bitIndex2)) | v84(constB99, bitIndex2)) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB100, bitIndex2)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13330,plain,
% 135.41/86.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB100, bitIndex2)) | v84(constB99, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB100, bitIndex2))))),
% 135.41/86.06 inference(monotonicity,[status(thm)],[13329])).
% 135.41/86.06 tff(13331,plain,
% 135.41/86.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB100, bitIndex2)) | v84(constB99, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB100, bitIndex2)))),
% 135.41/86.06 inference(transitivity,[status(thm)],[13330, 13328])).
% 135.41/86.06 tff(13332,plain,
% 135.41/86.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | (~v84(constB100, bitIndex2)) | v84(constB99, bitIndex2))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13333,plain,
% 135.41/86.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB100, bitIndex2))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13332, 13331])).
% 135.41/86.06 tff(13334,plain,
% 135.41/86.06 (v84(constB99, bitIndex2)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13333, 805, 767, 13154, 13149, 13293])).
% 135.41/86.06 tff(13335,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB99) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB99) | (~v118(constB99)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13336,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB99) | (~v118(constB99)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13337,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB99) | (~v118(constB99))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13336, 13335])).
% 135.41/86.06 tff(13338,plain,
% 135.41/86.06 (~v118(constB99)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13337, 1004, 13222])).
% 135.41/86.06 tff(13339,plain,
% 135.41/86.06 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB99) | (~v172(constB99)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB99) | (~v172(constB99)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13340,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB99) | (~v172(constB99)))),
% 135.41/86.06 inference(quant_inst,[status(thm)],[])).
% 135.41/86.06 tff(13341,plain,
% 135.41/86.06 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB99) | (~v172(constB99))),
% 135.41/86.06 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 135.41/86.06 tff(13342,plain,
% 135.41/86.06 (~v172(constB99)),
% 135.41/86.06 inference(unit_resolution,[status(thm)],[13341, 1033, 13226])).
% 135.41/86.06 tff(13343,assumption,(v84(constB99, bitIndex2)), introduced(assumption)).
% 135.41/86.06 tff(13344,assumption,(~v84(constB99, bitIndex1)), introduced(assumption)).
% 135.41/86.06 tff(13345,assumption,(~v118(constB99)), introduced(assumption)).
% 135.41/86.06 tff(13346,plain,
% 135.41/86.06 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99) | (~v84(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99) | (~v84(constB99, bitIndex0)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.06 tff(13347,plain,
% 135.41/86.06 (((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99)) <=> (v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99) | (~v84(constB99, bitIndex0)))),
% 135.41/86.06 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13348,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99) | (~v84(constB99, bitIndex0))))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13347])).
% 135.41/86.07 tff(13349,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99) | (~v84(constB99, bitIndex0)))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13348, 13346])).
% 135.41/86.07 tff(13350,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB99, bitIndex0)) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13351,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v118(constB99) | (~v84(constB99, bitIndex0))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13350, 13349])).
% 135.41/86.07 tff(13352,plain,
% 135.41/86.07 (v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | (~v84(constB99, bitIndex0))),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13351, 1018, 13345])).
% 135.41/86.07 tff(13353,plain,
% 135.41/86.07 (~v84(constB99, bitIndex0)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13352, 13344, 13343])).
% 135.41/86.07 tff(13354,assumption,(~v172(constB99)), introduced(assumption)).
% 135.41/86.07 tff(13355,plain,
% 135.41/86.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13356,plain,
% 135.41/86.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13357,plain,
% 135.41/86.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99)),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 135.41/86.07 tff(13358,plain,
% 135.41/86.07 (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2))),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13357, 1047, 13354])).
% 135.41/86.07 tff(13359,plain,
% 135.41/86.07 ($false),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13358, 13353, 13344, 13343])).
% 135.41/86.07 tff(13360,plain,(v84(constB99, bitIndex1) | (~v84(constB99, bitIndex2)) | v172(constB99) | v118(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.41/86.07 tff(13361,plain,
% 135.41/86.07 (v84(constB99, bitIndex1)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13360, 13334, 13342, 13338])).
% 135.41/86.07 tff(13362,plain,
% 135.41/86.07 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB99) | (~v119(constB99)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB99) | (~v119(constB99)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13363,plain,
% 135.41/86.07 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB99) | (~v119(constB99)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13364,plain,
% 135.41/86.07 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB99) | (~v119(constB99))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13363, 13362])).
% 135.41/86.07 tff(13365,plain,
% 135.41/86.07 (~v119(constB99)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13364, 1927, 13218])).
% 135.41/86.07 tff(13366,plain,
% 135.41/86.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB99) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB99) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13367,plain,
% 135.41/86.07 ((v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99)) <=> (v119(constB99) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13368,plain,
% 135.41/86.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB99) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2))))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13367])).
% 135.41/86.07 tff(13369,plain,
% 135.41/86.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB99) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13368, 13366])).
% 135.41/86.07 tff(13370,plain,
% 135.41/86.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2)) | v119(constB99))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13371,plain,
% 135.41/86.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB99) | v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13370, 13369])).
% 135.41/86.07 tff(13372,plain,
% 135.41/86.07 (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2))),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13371, 1910, 13365])).
% 135.41/86.07 tff(13373,plain,
% 135.41/86.07 (v84(constB99, bitIndex0)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13372, 13361, 13334])).
% 135.41/86.07 tff(13374,assumption,(~v84(constB100, bitIndex0)), introduced(assumption)).
% 135.41/86.07 tff(13375,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB100, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB100, bitIndex0))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13376,plain,
% 135.41/86.07 (((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB100, bitIndex0) | (~v84(constB99, bitIndex0))) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB100, bitIndex0))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13377,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB100, bitIndex0) | (~v84(constB99, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB100, bitIndex0)))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13376])).
% 135.41/86.07 tff(13378,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB100, bitIndex0) | (~v84(constB99, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB100, bitIndex0))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13377, 13375])).
% 135.41/86.07 tff(13379,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB100, bitIndex0) | (~v84(constB99, bitIndex0)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13380,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB100, bitIndex0)),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13379, 13378])).
% 135.41/86.07 tff(13381,plain,
% 135.41/86.07 ($false),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13380, 777, 795, 13154, 13149, 13374, 13373])).
% 135.41/86.07 tff(13382,plain,(v84(constB100, bitIndex0) | v94(constB100)), inference(lemma,lemma(discharge,[]))).
% 135.41/86.07 tff(13383,plain,
% 135.41/86.07 (v84(constB100, bitIndex0)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13382, 13149])).
% 135.41/86.07 tff(13384,assumption,(~v84(constB101, bitIndex0)), introduced(assumption)).
% 135.41/86.07 tff(13385,assumption,(v84(constB100, bitIndex0)), introduced(assumption)).
% 135.41/86.07 tff(13386,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB100, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB100, bitIndex0)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13387,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB100, bitIndex0)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13388,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB100, bitIndex0))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13387, 13386])).
% 135.41/86.07 tff(13389,plain,
% 135.41/86.07 ($false),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13388, 777, 795, 13301, 13313, 13385, 13384])).
% 135.41/86.07 tff(13390,plain,(v84(constB101, bitIndex0) | (~v84(constB100, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.41/86.07 tff(13391,plain,
% 135.41/86.07 (v84(constB101, bitIndex0)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13390, 13383])).
% 135.41/86.07 tff(13392,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v172(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB101, bitIndex0)) | (~v172(constB101)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13393,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v172(constB101)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13394,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB101, bitIndex0)) | (~v172(constB101))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13393, 13392])).
% 135.41/86.07 tff(13395,plain,
% 135.41/86.07 (~v172(constB101)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13394, 7708, 13391])).
% 135.41/86.07 tff(13396,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB101, bitIndex2)) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB101, bitIndex2)) | (~v115(constB101)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13397,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB101, bitIndex2)) | (~v115(constB101)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13398,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB101, bitIndex2)) | (~v115(constB101))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13397, 13396])).
% 135.41/86.07 tff(13399,plain,
% 135.41/86.07 (~v115(constB101)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13398, 2665, 13319])).
% 135.41/86.07 tff(13400,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB101, bitIndex2)) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB101, bitIndex2)) | (~v116(constB101)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13401,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB101, bitIndex2)) | (~v116(constB101)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13402,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB101, bitIndex2)) | (~v116(constB101))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13401, 13400])).
% 135.41/86.07 tff(13403,plain,
% 135.41/86.07 (~v116(constB101)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13402, 1130, 13319])).
% 135.41/86.07 tff(13404,assumption,(v124(constB101, bitIndex1)), introduced(assumption)).
% 135.41/86.07 tff(13405,plain,
% 135.41/86.07 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB101)) | (~v124(constB101, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB101)) | (~v124(constB101, bitIndex1)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13406,plain,
% 135.41/86.07 (((~v116(constB101)) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB101)) | (~v124(constB101, bitIndex1)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13407,plain,
% 135.41/86.07 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB101)) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB101)) | (~v124(constB101, bitIndex1))))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13406])).
% 135.41/86.07 tff(13408,plain,
% 135.41/86.07 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB101)) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB101)) | (~v124(constB101, bitIndex1)))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13407, 13405])).
% 135.41/86.07 tff(13409,plain,
% 135.41/86.07 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB101)) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b100(bitIndex1))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13410,plain,
% 135.41/86.07 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB101)) | (~v124(constB101, bitIndex1))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13409, 13408])).
% 135.41/86.07 tff(13411,plain,
% 135.41/86.07 (~v116(constB101)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13410, 2167, 2164, 823, 13404])).
% 135.41/86.07 tff(13412,assumption,(~v115(constB101)), introduced(assumption)).
% 135.41/86.07 tff(13413,assumption,(v145(constB101)), introduced(assumption)).
% 135.41/86.07 tff(13414,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB101)) | (~v84(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB101)) | (~v84(constB101, bitIndex2)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13415,plain,
% 135.41/86.07 (((~v84(constB101, bitIndex2)) | (~v145(constB101))) <=> ((~v145(constB101)) | (~v84(constB101, bitIndex2)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13416,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex2)) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB101)) | (~v84(constB101, bitIndex2))))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13415])).
% 135.41/86.07 tff(13417,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex2)) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB101)) | (~v84(constB101, bitIndex2)))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13416, 13414])).
% 135.41/86.07 tff(13418,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex2)) | (~v145(constB101)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13419,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB101)) | (~v84(constB101, bitIndex2))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13418, 13417])).
% 135.41/86.07 tff(13420,plain,
% 135.41/86.07 (~v84(constB101, bitIndex2)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13419, 725, 13413])).
% 135.41/86.07 tff(13421,plain,
% 135.41/86.07 (~v84(constB100, bitIndex2)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13316, 777, 767, 13301, 13313, 13420])).
% 135.41/86.07 tff(13422,plain,
% 135.41/86.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB101)) | v84(constB101, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB101)) | v84(constB101, bitIndex0))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13423,plain,
% 135.41/86.07 ((v84(constB101, bitIndex0) | (~v145(constB101))) <=> ((~v145(constB101)) | v84(constB101, bitIndex0))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13424,plain,
% 135.41/86.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB101, bitIndex0) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB101)) | v84(constB101, bitIndex0)))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13423])).
% 135.41/86.07 tff(13425,plain,
% 135.41/86.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB101, bitIndex0) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB101)) | v84(constB101, bitIndex0))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13424, 13422])).
% 135.41/86.07 tff(13426,plain,
% 135.41/86.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB101, bitIndex0) | (~v145(constB101)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13427,plain,
% 135.41/86.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB101)) | v84(constB101, bitIndex0)),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13426, 13425])).
% 135.41/86.07 tff(13428,plain,
% 135.41/86.07 (v84(constB101, bitIndex0)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13427, 788, 13413])).
% 135.41/86.07 tff(13429,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB100, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB100, bitIndex0))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13430,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB100, bitIndex0))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13431,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB100, bitIndex0)),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 135.41/86.07 tff(13432,plain,
% 135.41/86.07 (v84(constB100, bitIndex0)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13431, 805, 795, 13301, 13313, 13428])).
% 135.41/86.07 tff(13433,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB101)) | (~v84(constB101, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB101)) | (~v84(constB101, bitIndex1)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13434,plain,
% 135.41/86.07 (((~v84(constB101, bitIndex1)) | (~v145(constB101))) <=> ((~v145(constB101)) | (~v84(constB101, bitIndex1)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13435,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB101)) | (~v84(constB101, bitIndex1))))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13434])).
% 135.41/86.07 tff(13436,plain,
% 135.41/86.07 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB101)) | (~v84(constB101, bitIndex1)))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13435, 13433])).
% 135.41/86.07 tff(13437,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v145(constB101)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13438,plain,
% 135.41/86.07 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB101)) | (~v84(constB101, bitIndex1))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13437, 13436])).
% 135.41/86.07 tff(13439,plain,
% 135.41/86.07 (~v84(constB101, bitIndex1)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13438, 816, 13413])).
% 135.41/86.07 tff(13440,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB100, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB100, bitIndex1)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13441,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB100, bitIndex1)))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13442,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB100, bitIndex1))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13441, 13440])).
% 135.41/86.07 tff(13443,plain,
% 135.41/86.07 (~v84(constB100, bitIndex1)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13442, 777, 823, 13301, 13313, 13439])).
% 135.41/86.07 tff(13444,plain,
% 135.41/86.07 (v94(constB100) | (~v84(constB99, bitIndex1))),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13168, 777, 823, 13154, 13151])).
% 135.41/86.07 tff(13445,plain,
% 135.41/86.07 (~v84(constB99, bitIndex1)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13444, 13149])).
% 135.41/86.07 tff(13446,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB100, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB100, bitIndex0)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13447,plain,
% 135.41/86.07 (((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB100, bitIndex0)) | v84(constB99, bitIndex0)) <=> ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB100, bitIndex0)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13448,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB100, bitIndex0)) | v84(constB99, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB100, bitIndex0))))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13447])).
% 135.41/86.07 tff(13449,plain,
% 135.41/86.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB100, bitIndex0)) | v84(constB99, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB100, bitIndex0)))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13448, 13446])).
% 135.41/86.07 tff(13450,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | (~v84(constB100, bitIndex0)) | v84(constB99, bitIndex0))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13451,plain,
% 135.41/86.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB99, constB100)) | v94(constB100) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB100, bitIndex0))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13450, 13449])).
% 135.41/86.07 tff(13452,plain,
% 135.41/86.07 (v94(constB100) | v84(constB99, bitIndex0)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13451, 805, 795, 13154, 13385])).
% 135.41/86.07 tff(13453,plain,
% 135.41/86.07 (v84(constB99, bitIndex0)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13452, 13149])).
% 135.41/86.07 tff(13454,plain,
% 135.41/86.07 (v94(constB100) | (~v84(constB99, bitIndex2))),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13160, 777, 767, 13154, 13150])).
% 135.41/86.07 tff(13455,plain,
% 135.41/86.07 (~v84(constB99, bitIndex2)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13454, 13149])).
% 135.41/86.07 tff(13456,assumption,(~v145(constB99)), introduced(assumption)).
% 135.41/86.07 tff(13457,plain,
% 135.41/86.07 (v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0))),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13259, 865, 13456])).
% 135.41/86.07 tff(13458,plain,
% 135.41/86.07 ($false),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13457, 13455, 13453, 13445])).
% 135.41/86.07 tff(13459,plain,(v94(constB100) | v145(constB99) | v84(constB100, bitIndex1) | v84(constB100, bitIndex2) | (~v84(constB100, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.41/86.07 tff(13460,plain,
% 135.41/86.07 ($false),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13459, 13443, 13432, 13149, 13421, 13253])).
% 135.41/86.07 tff(13461,plain,((~v145(constB101)) | v94(constB100)), inference(lemma,lemma(discharge,[]))).
% 135.41/86.07 tff(13462,plain,
% 135.41/86.07 (~v145(constB101)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13461, 13149])).
% 135.41/86.07 tff(13463,plain,
% 135.41/86.07 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB101)) | (~v124(constB101, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB101)) | (~v124(constB101, bitIndex1)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13464,plain,
% 135.41/86.07 (((~v113(constB101)) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB101)) | (~v124(constB101, bitIndex1)))),
% 135.41/86.07 inference(rewrite,[status(thm)],[])).
% 135.41/86.07 tff(13465,plain,
% 135.41/86.07 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB101)) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB101)) | (~v124(constB101, bitIndex1))))),
% 135.41/86.07 inference(monotonicity,[status(thm)],[13464])).
% 135.41/86.07 tff(13466,plain,
% 135.41/86.07 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB101)) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB101)) | (~v124(constB101, bitIndex1)))),
% 135.41/86.07 inference(transitivity,[status(thm)],[13465, 13463])).
% 135.41/86.07 tff(13467,plain,
% 135.41/86.07 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB101)) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b100(bitIndex1))),
% 135.41/86.07 inference(quant_inst,[status(thm)],[])).
% 135.41/86.07 tff(13468,plain,
% 135.41/86.07 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB101)) | (~v124(constB101, bitIndex1))),
% 135.41/86.07 inference(modus_ponens,[status(thm)],[13467, 13466])).
% 135.41/86.07 tff(13469,plain,
% 135.41/86.07 ($false),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13468, 2167, 2186, 823, 13320, 13404])).
% 135.41/86.07 tff(13470,plain,((~v124(constB101, bitIndex1)) | (~v113(constB101))), inference(lemma,lemma(discharge,[]))).
% 135.41/86.07 tff(13471,plain,
% 135.41/86.07 (~v113(constB101)),
% 135.41/86.07 inference(unit_resolution,[status(thm)],[13470, 13404])).
% 135.41/86.07 tff(13472,assumption,(~v172(constB101)), introduced(assumption)).
% 135.41/86.07 tff(13473,plain,
% 135.41/86.07 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex1)))),
% 135.41/86.08 inference(rewrite,[status(thm)],[])).
% 135.41/86.08 tff(13474,plain,
% 135.41/86.08 ((v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex1)))),
% 135.41/86.08 inference(rewrite,[status(thm)],[])).
% 135.41/86.08 tff(13475,plain,
% 135.41/86.08 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex1))))),
% 135.41/86.08 inference(monotonicity,[status(thm)],[13474])).
% 135.41/86.08 tff(13476,plain,
% 135.41/86.08 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex1)))),
% 135.41/86.08 inference(transitivity,[status(thm)],[13475, 13473])).
% 135.41/86.08 tff(13477,plain,
% 135.41/86.08 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)) | b001(bitIndex1))),
% 135.41/86.08 inference(quant_inst,[status(thm)],[])).
% 135.41/86.08 tff(13478,plain,
% 135.41/86.08 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex1))),
% 135.41/86.08 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 135.41/86.08 tff(13479,plain,
% 135.41/86.08 (v145(constB101) | v118(constB101) | v116(constB101) | v115(constB101)),
% 135.41/86.08 inference(unit_resolution,[status(thm)],[13478, 2601, 2424, 823, 13472, 13471, 13404])).
% 135.41/86.08 tff(13480,plain,
% 135.41/86.08 (v118(constB101)),
% 135.41/86.08 inference(unit_resolution,[status(thm)],[13479, 13462, 13412, 13411])).
% 135.41/86.08 tff(13481,plain,
% 135.41/86.08 ($false),
% 135.41/86.08 inference(unit_resolution,[status(thm)],[13168, 777, 823, 13154, 13149, 13151, 13361])).
% 135.41/86.08 tff(13482,plain,(v84(constB100, bitIndex1) | v94(constB100)), inference(lemma,lemma(discharge,[]))).
% 135.41/86.08 tff(13483,plain,
% 135.41/86.08 (v84(constB100, bitIndex1)),
% 135.41/86.08 inference(unit_resolution,[status(thm)],[13482, 13149])).
% 135.41/86.08 tff(13484,assumption,(~v84(constB101, bitIndex1)), introduced(assumption)).
% 135.44/86.08 tff(13485,assumption,(v84(constB100, bitIndex1)), introduced(assumption)).
% 135.44/86.08 tff(13486,plain,
% 135.44/86.08 ($false),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13442, 777, 823, 13301, 13313, 13485, 13484])).
% 135.44/86.08 tff(13487,plain,(v84(constB101, bitIndex1) | (~v84(constB100, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.08 tff(13488,plain,
% 135.44/86.08 (v84(constB101, bitIndex1)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13487, 13483])).
% 135.44/86.08 tff(13489,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v118(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB101, bitIndex1)) | (~v118(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13490,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v118(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13491,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB101, bitIndex1)) | (~v118(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13490, 13489])).
% 135.44/86.08 tff(13492,plain,
% 135.44/86.08 ($false),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13491, 2842, 13488, 13480])).
% 135.44/86.08 tff(13493,plain,(v94(constB100) | v115(constB101) | v172(constB101) | (~v124(constB101, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.08 tff(13494,plain,
% 135.44/86.08 (~v124(constB101, bitIndex1)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13493, 13395, 13149, 13399])).
% 135.44/86.08 tff(13495,assumption,(~v124(constB101, bitIndex1)), introduced(assumption)).
% 135.44/86.08 tff(13496,plain,
% 135.44/86.08 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB101)) | (~b010(bitIndex1)) | v124(constB101, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB101)) | (~b010(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13497,plain,
% 135.44/86.08 (((~v145(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB101)) | (~b010(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13498,plain,
% 135.44/86.08 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB101)) | (~b010(bitIndex1)) | v124(constB101, bitIndex1)))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13497])).
% 135.44/86.08 tff(13499,plain,
% 135.44/86.08 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB101)) | (~b010(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13498, 13496])).
% 135.44/86.08 tff(13500,plain,
% 135.44/86.08 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b010(bitIndex1)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13501,plain,
% 135.44/86.08 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB101)) | (~b010(bitIndex1)) | v124(constB101, bitIndex1)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13500, 13499])).
% 135.44/86.08 tff(13502,plain,
% 135.44/86.08 ($false),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13501, 1821, 1818, 823, 13413, 13495])).
% 135.44/86.08 tff(13503,plain,(v124(constB101, bitIndex1) | (~v145(constB101))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.08 tff(13504,plain,
% 135.44/86.08 (~v145(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13503, 13495])).
% 135.44/86.08 tff(13505,assumption,(~v113(constB101)), introduced(assumption)).
% 135.44/86.08 tff(13506,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB101) | v113(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB101) | v113(constB101) | (~v112(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13507,plain,
% 135.44/86.08 ((v113(constB101) | (~v112(constB101)) | v145(constB101)) <=> (v145(constB101) | v113(constB101) | (~v112(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13508,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB101) | (~v112(constB101)) | v145(constB101))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB101) | v113(constB101) | (~v112(constB101))))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13507])).
% 135.44/86.08 tff(13509,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB101) | (~v112(constB101)) | v145(constB101))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB101) | v113(constB101) | (~v112(constB101)))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13508, 13506])).
% 135.44/86.08 tff(13510,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB101) | (~v112(constB101)) | v145(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13511,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB101) | v113(constB101) | (~v112(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13510, 13509])).
% 135.44/86.08 tff(13512,plain,
% 135.44/86.08 (v145(constB101) | (~v112(constB101))),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13511, 2894, 13505])).
% 135.44/86.08 tff(13513,plain,
% 135.44/86.08 (~v112(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13512, 13504])).
% 135.44/86.08 tff(13514,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB101) | v115(constB101) | (~v111(constB101)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB101) | v115(constB101) | (~v111(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13515,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB101) | v115(constB101) | (~v111(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13516,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB101) | v115(constB101) | (~v111(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13515, 13514])).
% 135.44/86.08 tff(13517,plain,
% 135.44/86.08 (v112(constB101) | (~v111(constB101))),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13516, 2911, 13412])).
% 135.44/86.08 tff(13518,plain,
% 135.44/86.08 (~v111(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13517, 13513])).
% 135.44/86.08 tff(13519,assumption,(~v116(constB101)), introduced(assumption)).
% 135.44/86.08 tff(13520,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB101) | v116(constB101) | (~v110(constB101)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB101) | v116(constB101) | (~v110(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13521,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB101) | v116(constB101) | (~v110(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13522,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB101) | v116(constB101) | (~v110(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13521, 13520])).
% 135.44/86.08 tff(13523,plain,
% 135.44/86.08 (v111(constB101) | (~v110(constB101))),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13522, 2932, 13519])).
% 135.44/86.08 tff(13524,plain,
% 135.44/86.08 (~v110(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13523, 13518])).
% 135.44/86.08 tff(13525,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB101)) | v172(constB101) | v110(constB101))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB101)) | v172(constB101) | v110(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13526,plain,
% 135.44/86.08 ((v110(constB101) | (~v109(constB101)) | v172(constB101)) <=> ((~v109(constB101)) | v172(constB101) | v110(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13527,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB101) | (~v109(constB101)) | v172(constB101))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB101)) | v172(constB101) | v110(constB101)))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13526])).
% 135.44/86.08 tff(13528,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB101) | (~v109(constB101)) | v172(constB101))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB101)) | v172(constB101) | v110(constB101))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13527, 13525])).
% 135.44/86.08 tff(13529,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB101) | (~v109(constB101)) | v172(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13530,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB101)) | v172(constB101) | v110(constB101)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13529, 13528])).
% 135.44/86.08 tff(13531,plain,
% 135.44/86.08 ((~v109(constB101)) | v110(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13530, 2871, 13472])).
% 135.44/86.08 tff(13532,plain,
% 135.44/86.08 (~v109(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13531, 13524])).
% 135.44/86.08 tff(13533,assumption,(v108(constB101)), introduced(assumption)).
% 135.44/86.08 tff(13534,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB101) | v118(constB101) | (~v108(constB101)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB101) | v118(constB101) | (~v108(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13535,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB101) | v118(constB101) | (~v108(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13536,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB101) | v118(constB101) | (~v108(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13535, 13534])).
% 135.44/86.08 tff(13537,plain,
% 135.44/86.08 (v109(constB101) | v118(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13536, 2856, 13533])).
% 135.44/86.08 tff(13538,plain,
% 135.44/86.08 (v118(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13537, 13532])).
% 135.44/86.08 tff(13539,plain,
% 135.44/86.08 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13540,plain,
% 135.44/86.08 (((~v118(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v118(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13541,plain,
% 135.44/86.08 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1)))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13540])).
% 135.44/86.08 tff(13542,plain,
% 135.44/86.08 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13541, 13539])).
% 135.44/86.08 tff(13543,plain,
% 135.44/86.08 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b011(bitIndex1)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13544,plain,
% 135.44/86.08 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13543, 13542])).
% 135.44/86.08 tff(13545,plain,
% 135.44/86.08 ($false),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13544, 3033, 1145, 823, 13538, 13495])).
% 135.44/86.08 tff(13546,plain,(v124(constB101, bitIndex1) | (~v108(constB101)) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.08 tff(13547,plain,
% 135.44/86.08 (~v108(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13546, 13494, 13403, 13399, 13395, 13327])).
% 135.44/86.08 tff(13548,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB101)) | (~v84(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB101)) | (~v84(constB101, bitIndex0)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13549,plain,
% 135.44/86.08 (((~v84(constB101, bitIndex0)) | (~v119(constB101))) <=> ((~v119(constB101)) | (~v84(constB101, bitIndex0)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13550,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v119(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB101)) | (~v84(constB101, bitIndex0))))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13549])).
% 135.44/86.08 tff(13551,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v119(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB101)) | (~v84(constB101, bitIndex0)))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13550, 13548])).
% 135.44/86.08 tff(13552,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v119(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13553,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB101)) | (~v84(constB101, bitIndex0))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 135.44/86.08 tff(13554,plain,
% 135.44/86.08 (~v119(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13553, 3173, 13391])).
% 135.44/86.08 tff(13555,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB101) | v119(constB101) | (~v107(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB101) | v119(constB101) | (~v107(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13556,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB101) | v119(constB101) | (~v107(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13557,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB101) | v119(constB101) | (~v107(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 135.44/86.08 tff(13558,plain,
% 135.44/86.08 (~v107(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13557, 3195, 13554, 13547])).
% 135.44/86.08 tff(13559,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB101) | (~v106(constB101)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB101) | (~v106(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13560,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB101) | (~v106(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13561,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB101) | (~v106(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13560, 13559])).
% 135.44/86.08 tff(13562,plain,
% 135.44/86.08 (~v106(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13561, 3161, 13558])).
% 135.44/86.08 tff(13563,assumption,(v26(constB100)), introduced(assumption)).
% 135.44/86.08 tff(13564,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB100))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13565,plain,
% 135.44/86.08 ($false),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13564, 1172, 13563])).
% 135.44/86.08 tff(13566,plain,(~v26(constB100)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.08 tff(13567,plain,
% 135.44/86.08 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13568,plain,
% 135.44/86.08 ((v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101))) <=> ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13569,plain,
% 135.44/86.08 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13568])).
% 135.44/86.08 tff(13570,plain,
% 135.44/86.08 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101)))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13569, 13567])).
% 135.44/86.08 tff(13571,plain,
% 135.44/86.08 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB100) | (~nextState(constB100, constB101)) | (~v66(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13572,plain,
% 135.44/86.08 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB100, constB101)) | v26(constB100) | (~v66(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13571, 13570])).
% 135.44/86.08 tff(13573,plain,
% 135.44/86.08 (v26(constB100) | (~v66(constB101))),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13572, 3286, 13301])).
% 135.44/86.08 tff(13574,plain,
% 135.44/86.08 (~v66(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13573, 13566])).
% 135.44/86.08 tff(13575,assumption,(v18(constB102)), introduced(assumption)).
% 135.44/86.08 tff(13576,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB102))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13577,plain,
% 135.44/86.08 ($false),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13576, 123, 13575])).
% 135.44/86.08 tff(13578,plain,(~v18(constB102)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.08 tff(13579,plain,
% 135.44/86.08 (v1(constB102) <=> v1(constB102)),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13580,axiom,(v1(constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_102_1')).
% 135.44/86.08 tff(13581,plain,
% 135.44/86.08 (v1(constB102)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13580, 13579])).
% 135.44/86.08 tff(13582,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13583,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB102) | (~v1(constB102)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13584,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB102) | (~v1(constB102))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13583, 13582])).
% 135.44/86.08 tff(13585,plain,
% 135.44/86.08 (v22(constB102)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13584, 133, 13581])).
% 135.44/86.08 tff(13586,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13587,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB102)) | (~v22(constB102)) | v18(constB102))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13588,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB102)) | (~v22(constB102)) | v18(constB102)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13587, 13586])).
% 135.44/86.08 tff(13589,plain,
% 135.44/86.08 ((~v19(constB102)) | v18(constB102)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13588, 147, 13585])).
% 135.44/86.08 tff(13590,plain,
% 135.44/86.08 (~v19(constB102)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13589, 13578])).
% 135.44/86.08 tff(13591,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13592,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB102) | v19(constB102))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13593,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB102) | v19(constB102)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13592, 13591])).
% 135.44/86.08 tff(13594,plain,
% 135.44/86.08 (v13(constB102)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13593, 162, 13590])).
% 135.44/86.08 tff(13595,plain,
% 135.44/86.08 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13596,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_101_1')).
% 135.44/86.08 tff(13597,plain,
% 135.44/86.08 (nextState(constB101, constB102)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13596, 13595])).
% 135.44/86.08 tff(13598,plain,
% 135.44/86.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13599,plain,
% 135.44/86.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13600,plain,
% 135.44/86.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB101, constB102)) | (~v13(constB102)) | v9(constB101)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13599, 13598])).
% 135.44/86.08 tff(13601,plain,
% 135.44/86.08 ((~v13(constB102)) | v9(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13600, 176, 13597])).
% 135.44/86.08 tff(13602,plain,
% 135.44/86.08 (v9(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13601, 13594])).
% 135.44/86.08 tff(13603,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | v64(constB101) | (~v9(constB101)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13604,plain,
% 135.44/86.08 ((v1(constB101) | (~v9(constB101)) | v64(constB101)) <=> (v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13605,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | v64(constB101) | (~v9(constB101))))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13604])).
% 135.44/86.08 tff(13606,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101)))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13605, 13603])).
% 135.44/86.08 tff(13607,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB101) | (~v9(constB101)) | v64(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13608,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB101) | v64(constB101) | (~v9(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13607, 13606])).
% 135.44/86.08 tff(13609,plain,
% 135.44/86.08 (v64(constB101) | (~v9(constB101))),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13608, 3304, 13298])).
% 135.44/86.08 tff(13610,plain,
% 135.44/86.08 (v64(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13609, 13602])).
% 135.44/86.08 tff(13611,plain,
% 135.44/86.08 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13612,plain,
% 135.44/86.08 (((~v64(constB101)) | (~v60(constB101)) | v66(constB101)) <=> ((~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13613,plain,
% 135.44/86.08 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB101)) | (~v60(constB101)) | v66(constB101))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB101)) | v66(constB101) | (~v64(constB101))))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13612])).
% 135.44/86.08 tff(13614,plain,
% 135.44/86.08 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB101)) | (~v60(constB101)) | v66(constB101))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101)))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13613, 13611])).
% 135.44/86.08 tff(13615,plain,
% 135.44/86.08 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB101)) | (~v60(constB101)) | v66(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13616,plain,
% 135.44/86.08 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB101)) | v66(constB101) | (~v64(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13615, 13614])).
% 135.44/86.08 tff(13617,plain,
% 135.44/86.08 ((~v60(constB101)) | v66(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13616, 3322, 13610])).
% 135.44/86.08 tff(13618,plain,
% 135.44/86.08 (~v60(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13617, 13574])).
% 135.44/86.08 tff(13619,assumption,(v71(constB101)), introduced(assumption)).
% 135.44/86.08 tff(13620,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13621,plain,
% 135.44/86.08 ($false),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13620, 3338, 13619])).
% 135.44/86.08 tff(13622,plain,(~v71(constB101)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.08 tff(13623,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB101) | (~v9(constB101)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB101) | (~v9(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13624,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB101) | (~v9(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13625,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB101) | (~v9(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13624, 13623])).
% 135.44/86.08 tff(13626,plain,
% 135.44/86.08 (v80(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13625, 3348, 13602])).
% 135.44/86.08 tff(13627,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13628,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB101) | v78(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13629,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB101) | v78(constB101)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 135.44/86.08 tff(13630,plain,
% 135.44/86.08 (v78(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13629, 3362, 13298])).
% 135.44/86.08 tff(13631,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB101)) | (~v80(constB101)) | v76(constB101))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB101)) | (~v80(constB101)) | v76(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13632,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB101)) | (~v80(constB101)) | v76(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13633,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB101)) | (~v80(constB101)) | v76(constB101)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13632, 13631])).
% 135.44/86.08 tff(13634,plain,
% 135.44/86.08 ((~v80(constB101)) | v76(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13633, 3376, 13630])).
% 135.44/86.08 tff(13635,plain,
% 135.44/86.08 (v76(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13634, 13626])).
% 135.44/86.08 tff(13636,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB101)) | (~v76(constB101)) | v71(constB101))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB101)) | (~v76(constB101)) | v71(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13637,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB101)) | (~v76(constB101)) | v71(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13638,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB101)) | (~v76(constB101)) | v71(constB101)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13637, 13636])).
% 135.44/86.08 tff(13639,plain,
% 135.44/86.08 ((~v72(constB101)) | v71(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13638, 3391, 13635])).
% 135.44/86.08 tff(13640,plain,
% 135.44/86.08 (~v72(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13639, 13622])).
% 135.44/86.08 tff(13641,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13642,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB101) | v72(constB101) | v74(constB101))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13643,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB101) | v72(constB101) | v74(constB101)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13642, 13641])).
% 135.44/86.08 tff(13644,plain,
% 135.44/86.08 (v72(constB101) | v74(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13643, 3406, 13298])).
% 135.44/86.08 tff(13645,plain,
% 135.44/86.08 (v74(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13644, 13640])).
% 135.44/86.08 tff(13646,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13647,plain,
% 135.44/86.08 (((~v26(constB101)) | v60(constB101) | (~v74(constB101))) <=> (v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13648,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB101) | (~v26(constB101)) | (~v74(constB101))))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13647])).
% 135.44/86.08 tff(13649,plain,
% 135.44/86.08 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101)))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13648, 13646])).
% 135.44/86.08 tff(13650,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB101)) | v60(constB101) | (~v74(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13651,plain,
% 135.44/86.08 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB101) | (~v26(constB101)) | (~v74(constB101))),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13650, 13649])).
% 135.44/86.08 tff(13652,plain,
% 135.44/86.08 (v60(constB101) | (~v26(constB101))),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13651, 3421, 13645])).
% 135.44/86.08 tff(13653,plain,
% 135.44/86.08 (~v26(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13652, 13618])).
% 135.44/86.08 tff(13654,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB101)) | v26(constB101) | v106(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB101)) | v26(constB101) | v106(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13655,plain,
% 135.44/86.08 ((v26(constB101) | v106(constB101) | (~v102(constB101))) <=> ((~v102(constB101)) | v26(constB101) | v106(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13656,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB101) | v106(constB101) | (~v102(constB101)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB101)) | v26(constB101) | v106(constB101)))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13655])).
% 135.44/86.08 tff(13657,plain,
% 135.44/86.08 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB101) | v106(constB101) | (~v102(constB101)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB101)) | v26(constB101) | v106(constB101))),
% 135.44/86.08 inference(transitivity,[status(thm)],[13656, 13654])).
% 135.44/86.08 tff(13658,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB101) | v106(constB101) | (~v102(constB101)))),
% 135.44/86.08 inference(quant_inst,[status(thm)],[])).
% 135.44/86.08 tff(13659,plain,
% 135.44/86.08 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB101)) | v26(constB101) | v106(constB101)),
% 135.44/86.08 inference(modus_ponens,[status(thm)],[13658, 13657])).
% 135.44/86.08 tff(13660,plain,
% 135.44/86.08 ((~v102(constB101)) | v106(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13659, 3146, 13653])).
% 135.44/86.08 tff(13661,plain,
% 135.44/86.08 (~v102(constB101)),
% 135.44/86.08 inference(unit_resolution,[status(thm)],[13660, 13562])).
% 135.44/86.08 tff(13662,plain,
% 135.44/86.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB101, constB102)) | (~v104(constB102)) | v102(constB101))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB101, constB102)) | (~v104(constB102)) | v102(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13663,plain,
% 135.44/86.08 (((~nextState(constB101, constB102)) | v102(constB101) | (~v104(constB102))) <=> ((~nextState(constB101, constB102)) | (~v104(constB102)) | v102(constB101))),
% 135.44/86.08 inference(rewrite,[status(thm)],[])).
% 135.44/86.08 tff(13664,plain,
% 135.44/86.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB101, constB102)) | v102(constB101) | (~v104(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB101, constB102)) | (~v104(constB102)) | v102(constB101)))),
% 135.44/86.08 inference(monotonicity,[status(thm)],[13663])).
% 135.44/86.08 tff(13665,plain,
% 135.44/86.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB101, constB102)) | v102(constB101) | (~v104(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB101, constB102)) | (~v104(constB102)) | v102(constB101))),
% 135.44/86.09 inference(transitivity,[status(thm)],[13664, 13662])).
% 135.44/86.09 tff(13666,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB101, constB102)) | v102(constB101) | (~v104(constB102)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13667,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB101, constB102)) | (~v104(constB102)) | v102(constB101)),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13666, 13665])).
% 135.44/86.09 tff(13668,plain,
% 135.44/86.09 ((~v104(constB102)) | v102(constB101)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13667, 3128, 13597])).
% 135.44/86.09 tff(13669,plain,
% 135.44/86.09 (~v104(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13668, 13661])).
% 135.44/86.09 tff(13670,plain,
% 135.44/86.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v94(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v94(constB102)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13671,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v94(constB102)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13672,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v94(constB102))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13671, 13670])).
% 135.44/86.09 tff(13673,plain,
% 135.44/86.09 (v104(constB102) | (~v94(constB102))),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13672, 3113, 13597])).
% 135.44/86.09 tff(13674,plain,
% 135.44/86.09 (~v94(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13673, 13669])).
% 135.44/86.09 tff(13675,assumption,(~v84(constB102, bitIndex2)), introduced(assumption)).
% 135.44/86.09 tff(13676,assumption,(~v94(constB102)), introduced(assumption)).
% 135.44/86.09 tff(13677,assumption,(~v84(constB102, bitIndex0)), introduced(assumption)).
% 135.44/86.09 tff(13678,assumption,(v84(constB101, bitIndex0)), introduced(assumption)).
% 135.44/86.09 tff(13679,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB102, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB102, bitIndex0))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13680,plain,
% 135.44/86.09 (((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB102, bitIndex0) | (~v84(constB101, bitIndex0))) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB102, bitIndex0))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13681,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB102, bitIndex0) | (~v84(constB101, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB102, bitIndex0)))),
% 135.44/86.09 inference(monotonicity,[status(thm)],[13680])).
% 135.44/86.09 tff(13682,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB102, bitIndex0) | (~v84(constB101, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB102, bitIndex0))),
% 135.44/86.09 inference(transitivity,[status(thm)],[13681, 13679])).
% 135.44/86.09 tff(13683,plain,
% 135.44/86.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB102, bitIndex0) | (~v84(constB101, bitIndex0)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13684,plain,
% 135.44/86.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB101, bitIndex0)) | v84(constB102, bitIndex0)),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 135.44/86.09 tff(13685,plain,
% 135.44/86.09 ($false),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13684, 777, 795, 13597, 13676, 13678, 13677])).
% 135.44/86.09 tff(13686,plain,(v84(constB102, bitIndex0) | v94(constB102) | (~v84(constB101, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.09 tff(13687,plain,
% 135.44/86.09 (~v84(constB101, bitIndex0)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13686, 13676, 13677])).
% 135.44/86.09 tff(13688,plain,
% 135.44/86.09 (~v84(constB100, bitIndex0)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13390, 13687])).
% 135.44/86.09 tff(13689,plain,
% 135.44/86.09 (v94(constB100)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13382, 13688])).
% 135.44/86.09 tff(13690,plain,
% 135.44/86.09 (~v84(constB101, bitIndex0)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13686, 13677, 13676])).
% 135.44/86.09 tff(13691,assumption,(~v84(constB102, bitIndex1)), introduced(assumption)).
% 135.44/86.09 tff(13692,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB102, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB102, bitIndex1))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13693,plain,
% 135.44/86.09 (((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v84(constB101, bitIndex1))) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB102, bitIndex1))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13694,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v84(constB101, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB102, bitIndex1)))),
% 135.44/86.09 inference(monotonicity,[status(thm)],[13693])).
% 135.44/86.09 tff(13695,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v84(constB101, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB102, bitIndex1))),
% 135.44/86.09 inference(transitivity,[status(thm)],[13694, 13692])).
% 135.44/86.09 tff(13696,plain,
% 135.44/86.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v84(constB101, bitIndex1)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13697,plain,
% 135.44/86.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB102, bitIndex1)),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13696, 13695])).
% 135.44/86.09 tff(13698,plain,
% 135.44/86.09 (v94(constB102) | (~v84(constB101, bitIndex1))),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13697, 777, 823, 13597, 13691])).
% 135.44/86.09 tff(13699,plain,
% 135.44/86.09 (~v84(constB101, bitIndex1)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13698, 13676])).
% 135.44/86.09 tff(13700,plain,
% 135.44/86.09 (v94(constB102) | (~v84(constB101, bitIndex0))),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13684, 777, 795, 13597, 13677])).
% 135.44/86.09 tff(13701,plain,
% 135.44/86.09 (~v84(constB101, bitIndex0)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13700, 13676])).
% 135.44/86.09 tff(13702,assumption,(v172(constB101)), introduced(assumption)).
% 135.44/86.09 tff(13703,plain,
% 135.44/86.09 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB101) | (~v172(constB101)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB101) | (~v172(constB101)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13704,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB101) | (~v172(constB101)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13705,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB101) | (~v172(constB101))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13704, 13703])).
% 135.44/86.09 tff(13706,plain,
% 135.44/86.09 (v109(constB101)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13705, 1033, 13702])).
% 135.44/86.09 tff(13707,plain,
% 135.44/86.09 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB101) | (~v109(constB101)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB101) | (~v109(constB101)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13708,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB101) | (~v109(constB101)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13709,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB101) | (~v109(constB101))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13708, 13707])).
% 135.44/86.09 tff(13710,plain,
% 135.44/86.09 (v108(constB101)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13709, 669, 13706])).
% 135.44/86.09 tff(13711,plain,
% 135.44/86.09 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB101) | (~v108(constB101)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB101) | (~v108(constB101)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13712,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB101) | (~v108(constB101)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13713,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB101) | (~v108(constB101))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13712, 13711])).
% 135.44/86.09 tff(13714,plain,
% 135.44/86.09 (v107(constB101)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13713, 658, 13710])).
% 135.44/86.09 tff(13715,plain,
% 135.44/86.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13716,plain,
% 135.44/86.09 ((v26(constB101) | (~v107(constB101)) | v106(constB101)) <=> (v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13717,plain,
% 135.44/86.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | v106(constB101) | (~v107(constB101))))),
% 135.44/86.09 inference(monotonicity,[status(thm)],[13716])).
% 135.44/86.09 tff(13718,plain,
% 135.44/86.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101)))),
% 135.44/86.09 inference(transitivity,[status(thm)],[13717, 13715])).
% 135.44/86.09 tff(13719,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB101) | (~v107(constB101)) | v106(constB101))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13720,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB101) | v106(constB101) | (~v107(constB101))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13719, 13718])).
% 135.44/86.09 tff(13721,plain,
% 135.44/86.09 (v106(constB101) | (~v107(constB101))),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13720, 644, 13653])).
% 135.44/86.09 tff(13722,plain,
% 135.44/86.09 (v106(constB101)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13721, 13714])).
% 135.44/86.09 tff(13723,plain,
% 135.44/86.09 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB101) | (~v106(constB101)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB101) | (~v106(constB101)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13724,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB101) | (~v106(constB101)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13725,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB101) | (~v106(constB101))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13724, 13723])).
% 135.44/86.09 tff(13726,plain,
% 135.44/86.09 (v102(constB101)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13725, 619, 13722])).
% 135.44/86.09 tff(13727,plain,
% 135.44/86.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13728,plain,
% 135.44/86.09 (((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102)) <=> ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13729,plain,
% 135.44/86.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))))),
% 135.44/86.09 inference(monotonicity,[status(thm)],[13728])).
% 135.44/86.09 tff(13730,plain,
% 135.44/86.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101)))),
% 135.44/86.09 inference(transitivity,[status(thm)],[13729, 13727])).
% 135.44/86.09 tff(13731,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB101, constB102)) | (~v102(constB101)) | v104(constB102))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13732,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB101, constB102)) | v104(constB102) | (~v102(constB101))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13731, 13730])).
% 135.44/86.09 tff(13733,plain,
% 135.44/86.09 (v104(constB102) | (~v102(constB101))),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13732, 604, 13597])).
% 135.44/86.09 tff(13734,plain,
% 135.44/86.09 (v104(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13733, 13726])).
% 135.44/86.09 tff(13735,plain,
% 135.44/86.09 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13736,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13737,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB101) | (~nextState(constB101, constB102)) | (~v98(constB102))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13736, 13735])).
% 135.44/86.09 tff(13738,plain,
% 135.44/86.09 (~v98(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13737, 541, 13597, 13298])).
% 135.44/86.09 tff(13739,plain,
% 135.44/86.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13740,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB101, constB102)) | v96(constB102) | v98(constB102))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13741,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB101, constB102)) | v96(constB102) | v98(constB102)),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13740, 13739])).
% 135.44/86.09 tff(13742,plain,
% 135.44/86.09 (v96(constB102) | v98(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13741, 555, 13597])).
% 135.44/86.09 tff(13743,plain,
% 135.44/86.09 (v96(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13742, 13738])).
% 135.44/86.09 tff(13744,plain,
% 135.44/86.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13745,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13746,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB101, constB102)) | v95(constB102) | (~v96(constB102)) | (~v1(constB102))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 135.44/86.09 tff(13747,plain,
% 135.44/86.09 (v95(constB102) | (~v96(constB102))),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13746, 573, 13597, 13581])).
% 135.44/86.09 tff(13748,plain,
% 135.44/86.09 (v95(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13747, 13743])).
% 135.44/86.09 tff(13749,plain,
% 135.44/86.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13750,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13751,plain,
% 135.44/86.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB101, constB102)) | (~v95(constB102)) | (~v104(constB102)) | v94(constB102)),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 135.44/86.09 tff(13752,plain,
% 135.44/86.09 ((~v95(constB102)) | (~v104(constB102)) | v94(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13751, 588, 13597])).
% 135.44/86.09 tff(13753,plain,
% 135.44/86.09 ((~v104(constB102)) | v94(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13752, 13748])).
% 135.44/86.09 tff(13754,plain,
% 135.44/86.09 (v94(constB102)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13753, 13734])).
% 135.44/86.09 tff(13755,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB102)) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13756,plain,
% 135.44/86.09 (((~less_3(bitIndex1)) | (~v94(constB102)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1))) <=> ((~v94(constB102)) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13757,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB102)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB102)) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1))))),
% 135.44/86.09 inference(monotonicity,[status(thm)],[13756])).
% 135.44/86.09 tff(13758,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB102)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)))),
% 135.44/86.09 inference(transitivity,[status(thm)],[13757, 13755])).
% 135.44/86.09 tff(13759,plain,
% 135.44/86.09 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB102)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13760,plain,
% 135.44/86.09 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex1)) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13759, 13758])).
% 135.44/86.09 tff(13761,plain,
% 135.44/86.09 ((~v94(constB102)) | (~v123(constB102, bitIndex1))),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13760, 1674, 823, 13691])).
% 135.44/86.09 tff(13762,plain,
% 135.44/86.09 (~v123(constB102, bitIndex1)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13761, 13754])).
% 135.44/86.09 tff(13763,plain,
% 135.44/86.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex1)) | v123(constB102, bitIndex1) | (~v121(constB101, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex1)) | v123(constB102, bitIndex1) | (~v121(constB101, bitIndex1)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13764,plain,
% 135.44/86.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex1)) | v123(constB102, bitIndex1) | (~v121(constB101, bitIndex1)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13765,plain,
% 135.44/86.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex1)) | v123(constB102, bitIndex1) | (~v121(constB101, bitIndex1))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13764, 13763])).
% 135.44/86.09 tff(13766,plain,
% 135.44/86.09 (~v121(constB101, bitIndex1)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13765, 1708, 823, 13597, 13762])).
% 135.44/86.09 tff(13767,plain,
% 135.44/86.09 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex1)) | v121(constB101, bitIndex1) | (~v124(constB101, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex1)) | v121(constB101, bitIndex1) | (~v124(constB101, bitIndex1)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13768,plain,
% 135.44/86.09 ((v26(constB101) | v121(constB101, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1))) <=> (v26(constB101) | (~less_3(bitIndex1)) | v121(constB101, bitIndex1) | (~v124(constB101, bitIndex1)))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13769,plain,
% 135.44/86.09 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex1)) | v121(constB101, bitIndex1) | (~v124(constB101, bitIndex1))))),
% 135.44/86.09 inference(monotonicity,[status(thm)],[13768])).
% 135.44/86.09 tff(13770,plain,
% 135.44/86.09 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex1)) | v121(constB101, bitIndex1) | (~v124(constB101, bitIndex1)))),
% 135.44/86.09 inference(transitivity,[status(thm)],[13769, 13767])).
% 135.44/86.09 tff(13771,plain,
% 135.44/86.09 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB101, bitIndex1)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13772,plain,
% 135.44/86.09 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex1)) | v121(constB101, bitIndex1) | (~v124(constB101, bitIndex1))),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13771, 13770])).
% 135.44/86.09 tff(13773,plain,
% 135.44/86.09 (~v124(constB101, bitIndex1)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13772, 1728, 823, 13653, 13766])).
% 135.44/86.09 tff(13774,plain,
% 135.44/86.09 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB101)) | (~b110(bitIndex1)) | v124(constB101, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB101)) | (~b110(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13775,plain,
% 135.44/86.09 (((~v172(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v172(constB101)) | (~b110(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13776,plain,
% 135.44/86.09 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB101)) | (~b110(bitIndex1)) | v124(constB101, bitIndex1)))),
% 135.44/86.09 inference(monotonicity,[status(thm)],[13775])).
% 135.44/86.09 tff(13777,plain,
% 135.44/86.09 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB101)) | (~b110(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.44/86.09 inference(transitivity,[status(thm)],[13776, 13774])).
% 135.44/86.09 tff(13778,plain,
% 135.44/86.09 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b110(bitIndex1)))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13779,plain,
% 135.44/86.09 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB101)) | (~b110(bitIndex1)) | v124(constB101, bitIndex1)),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13778, 13777])).
% 135.44/86.09 tff(13780,plain,
% 135.44/86.09 ($false),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13779, 1801, 1798, 823, 13702, 13773])).
% 135.44/86.09 tff(13781,plain,((~v172(constB101)) | v84(constB102, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.09 tff(13782,plain,
% 135.44/86.09 (~v172(constB101)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13781, 13691])).
% 135.44/86.09 tff(13783,plain,
% 135.44/86.09 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))),
% 135.44/86.09 inference(rewrite,[status(thm)],[])).
% 135.44/86.09 tff(13784,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101))),
% 135.44/86.09 inference(quant_inst,[status(thm)],[])).
% 135.44/86.09 tff(13785,plain,
% 135.44/86.09 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v172(constB101)),
% 135.44/86.09 inference(modus_ponens,[status(thm)],[13784, 13783])).
% 135.44/86.09 tff(13786,plain,
% 135.44/86.09 (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2))),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13785, 1047, 13782])).
% 135.44/86.09 tff(13787,plain,
% 135.44/86.09 ($false),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13786, 13701, 13699, 13321])).
% 135.44/86.09 tff(13788,plain,(v94(constB102) | (~v84(constB101, bitIndex2)) | v84(constB102, bitIndex0) | v84(constB102, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.09 tff(13789,plain,
% 135.44/86.09 (~v84(constB101, bitIndex2)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13788, 13691, 13676, 13677])).
% 135.44/86.09 tff(13790,assumption,(v84(constB101, bitIndex1)), introduced(assumption)).
% 135.44/86.09 tff(13791,plain,
% 135.44/86.09 ($false),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13697, 777, 823, 13597, 13676, 13790, 13691])).
% 135.44/86.09 tff(13792,plain,(v84(constB102, bitIndex1) | v94(constB102) | (~v84(constB101, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.09 tff(13793,plain,
% 135.44/86.09 (~v84(constB101, bitIndex1)),
% 135.44/86.09 inference(unit_resolution,[status(thm)],[13792, 13691, 13676])).
% 135.44/86.09 tff(13794,plain,
% 135.44/86.09 (~v104(constB102)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13753, 13676])).
% 135.44/86.10 tff(13795,plain,
% 135.44/86.10 (~v102(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13733, 13794])).
% 135.44/86.10 tff(13796,plain,
% 135.44/86.10 (~v106(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13725, 619, 13795])).
% 135.44/86.10 tff(13797,plain,
% 135.44/86.10 (~v107(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13721, 13796])).
% 135.44/86.10 tff(13798,plain,
% 135.44/86.10 (~v108(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13713, 658, 13797])).
% 135.44/86.10 tff(13799,plain,
% 135.44/86.10 (~v109(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13709, 669, 13798])).
% 135.44/86.10 tff(13800,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB101) | (~v110(constB101)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB101) | (~v110(constB101)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13801,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB101) | (~v110(constB101)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13802,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB101) | (~v110(constB101))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13801, 13800])).
% 135.44/86.10 tff(13803,plain,
% 135.44/86.10 (~v110(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13802, 680, 13799])).
% 135.44/86.10 tff(13804,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB101) | (~v111(constB101)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB101) | (~v111(constB101)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13805,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB101) | (~v111(constB101)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13806,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB101) | (~v111(constB101))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13805, 13804])).
% 135.44/86.10 tff(13807,plain,
% 135.44/86.10 (~v111(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13806, 691, 13803])).
% 135.44/86.10 tff(13808,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB101) | (~v112(constB101)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB101) | (~v112(constB101)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13809,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB101) | (~v112(constB101)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13810,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB101) | (~v112(constB101))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13809, 13808])).
% 135.44/86.10 tff(13811,plain,
% 135.44/86.10 (~v112(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13810, 702, 13807])).
% 135.44/86.10 tff(13812,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB101) | (~v113(constB101)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB101) | (~v113(constB101)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13813,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB101) | (~v113(constB101)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13814,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB101) | (~v113(constB101))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13813, 13812])).
% 135.44/86.10 tff(13815,plain,
% 135.44/86.10 (~v113(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13814, 969, 13811])).
% 135.44/86.10 tff(13816,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13817,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13818,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB101) | v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2)),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 135.44/86.10 tff(13819,plain,
% 135.44/86.10 (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13818, 983, 13815])).
% 135.44/86.10 tff(13820,plain,
% 135.44/86.10 ($false),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13819, 13793, 13789, 13690])).
% 135.44/86.10 tff(13821,plain,(v84(constB102, bitIndex1) | v94(constB102) | v84(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.10 tff(13822,plain,
% 135.44/86.10 (v84(constB102, bitIndex1)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13821, 13676, 13677])).
% 135.44/86.10 tff(13823,assumption,(v84(constB102, bitIndex1)), introduced(assumption)).
% 135.44/86.10 tff(13824,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB102, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB102, bitIndex1)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13825,plain,
% 135.44/86.10 (((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB102, bitIndex1)) | v84(constB101, bitIndex1)) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB102, bitIndex1)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13826,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB102, bitIndex1)) | v84(constB101, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB102, bitIndex1))))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13825])).
% 135.44/86.10 tff(13827,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB102, bitIndex1)) | v84(constB101, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB102, bitIndex1)))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13826, 13824])).
% 135.44/86.10 tff(13828,plain,
% 135.44/86.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | (~v84(constB102, bitIndex1)) | v84(constB101, bitIndex1))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13829,plain,
% 135.44/86.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex1)) | v84(constB101, bitIndex1) | (~v84(constB102, bitIndex1))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13828, 13827])).
% 135.44/86.10 tff(13830,plain,
% 135.44/86.10 (v94(constB102) | v84(constB101, bitIndex1)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13829, 805, 823, 13597, 13823])).
% 135.44/86.10 tff(13831,plain,
% 135.44/86.10 (v84(constB101, bitIndex1)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13830, 13676])).
% 135.44/86.10 tff(13832,assumption,(v84(constB102, bitIndex2)), introduced(assumption)).
% 135.44/86.10 tff(13833,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB102, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB102, bitIndex2)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13834,plain,
% 135.44/86.10 (((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB102, bitIndex2)) | v84(constB101, bitIndex2)) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB102, bitIndex2)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13835,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB102, bitIndex2)) | v84(constB101, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB102, bitIndex2))))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13834])).
% 135.44/86.10 tff(13836,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB102, bitIndex2)) | v84(constB101, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB102, bitIndex2)))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13835, 13833])).
% 135.44/86.10 tff(13837,plain,
% 135.44/86.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB102, bitIndex2)) | v84(constB101, bitIndex2))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13838,plain,
% 135.44/86.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB101, bitIndex2) | (~v84(constB102, bitIndex2))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 135.44/86.10 tff(13839,plain,
% 135.44/86.10 (v94(constB102) | v84(constB101, bitIndex2)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13838, 805, 767, 13597, 13832])).
% 135.44/86.10 tff(13840,plain,
% 135.44/86.10 (v84(constB101, bitIndex2)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13839, 13676])).
% 135.44/86.10 tff(13841,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB101) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB101) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13842,plain,
% 135.44/86.10 ((v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101)) <=> (v119(constB101) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13843,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB101) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2))))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13842])).
% 135.44/86.10 tff(13844,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB101) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13843, 13841])).
% 135.44/86.10 tff(13845,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2)) | v119(constB101))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13846,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB101) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | (~v84(constB101, bitIndex2))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13845, 13844])).
% 135.44/86.10 tff(13847,plain,
% 135.44/86.10 (v119(constB101)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13846, 1910, 13840, 13687, 13831])).
% 135.44/86.10 tff(13848,plain,
% 135.44/86.10 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB101) | (~v119(constB101)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB101) | (~v119(constB101)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13849,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB101) | (~v119(constB101)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13850,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB101) | (~v119(constB101))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13849, 13848])).
% 135.44/86.10 tff(13851,plain,
% 135.44/86.10 ($false),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13850, 1927, 13797, 13847])).
% 135.44/86.10 tff(13852,plain,(v94(constB102) | (~v84(constB102, bitIndex1)) | (~v84(constB102, bitIndex2)) | v84(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.10 tff(13853,plain,
% 135.44/86.10 (~v84(constB102, bitIndex2)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13852, 13822, 13676, 13677])).
% 135.44/86.10 tff(13854,plain,
% 135.44/86.10 (~v84(constB100, bitIndex0)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13390, 13384])).
% 135.44/86.10 tff(13855,plain,
% 135.44/86.10 (v94(constB100)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13382, 13854])).
% 135.44/86.10 tff(13856,assumption,(v123(constB100, bitIndex0)), introduced(assumption)).
% 135.44/86.10 tff(13857,plain,
% 135.44/86.10 (v94(constB100)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13382, 13374])).
% 135.44/86.10 tff(13858,assumption,(v94(constB100)), introduced(assumption)).
% 135.44/86.10 tff(13859,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v84(constB100, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v84(constB100, bitIndex0))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13860,plain,
% 135.44/86.10 (((~less_3(bitIndex0)) | (~v94(constB100)) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0))) <=> ((~v94(constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v84(constB100, bitIndex0))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13861,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB100)) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v84(constB100, bitIndex0)))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13860])).
% 135.44/86.10 tff(13862,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB100)) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v84(constB100, bitIndex0))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13861, 13859])).
% 135.44/86.10 tff(13863,plain,
% 135.44/86.10 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB100)) | v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13864,plain,
% 135.44/86.10 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v84(constB100, bitIndex0)),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13863, 13862])).
% 135.44/86.10 tff(13865,plain,
% 135.44/86.10 ($false),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13864, 1674, 795, 13858, 13374, 13856])).
% 135.44/86.10 tff(13866,plain,(v84(constB100, bitIndex0) | (~v94(constB100)) | (~v123(constB100, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.10 tff(13867,plain,
% 135.44/86.10 ($false),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13866, 13857, 13374, 13856])).
% 135.44/86.10 tff(13868,plain,(v84(constB100, bitIndex0) | (~v123(constB100, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.10 tff(13869,plain,
% 135.44/86.10 (~v123(constB100, bitIndex0)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13868, 13854])).
% 135.44/86.10 tff(13870,assumption,(~v123(constB100, bitIndex0)), introduced(assumption)).
% 135.44/86.10 tff(13871,assumption,(v121(constB99, bitIndex0)), introduced(assumption)).
% 135.44/86.10 tff(13872,plain,
% 135.44/86.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex0)) | v123(constB100, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex0)) | v123(constB100, bitIndex0) | (~v121(constB99, bitIndex0)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13873,plain,
% 135.44/86.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex0)) | v123(constB100, bitIndex0) | (~v121(constB99, bitIndex0)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13874,plain,
% 135.44/86.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex0)) | v123(constB100, bitIndex0) | (~v121(constB99, bitIndex0))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13873, 13872])).
% 135.44/86.10 tff(13875,plain,
% 135.44/86.10 ($false),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13874, 1708, 795, 13154, 13871, 13870])).
% 135.44/86.10 tff(13876,plain,(v123(constB100, bitIndex0) | (~v121(constB99, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.10 tff(13877,plain,
% 135.44/86.10 (~v121(constB99, bitIndex0)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13876, 13869])).
% 135.44/86.10 tff(13878,assumption,(~v121(constB99, bitIndex0)), introduced(assumption)).
% 135.44/86.10 tff(13879,assumption,(v124(constB99, bitIndex0)), introduced(assumption)).
% 135.44/86.10 tff(13880,assumption,(v26(constB99)), introduced(assumption)).
% 135.44/86.10 tff(13881,plain,
% 135.44/86.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13882,plain,
% 135.44/86.10 ($false),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13881, 1172, 13880])).
% 135.44/86.10 tff(13883,plain,(~v26(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.10 tff(13884,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex0)) | v121(constB99, bitIndex0) | (~v124(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex0)) | v121(constB99, bitIndex0) | (~v124(constB99, bitIndex0)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13885,plain,
% 135.44/86.10 ((v26(constB99) | v121(constB99, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0))) <=> (v26(constB99) | (~less_3(bitIndex0)) | v121(constB99, bitIndex0) | (~v124(constB99, bitIndex0)))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13886,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex0)) | v121(constB99, bitIndex0) | (~v124(constB99, bitIndex0))))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13885])).
% 135.44/86.10 tff(13887,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex0)) | v121(constB99, bitIndex0) | (~v124(constB99, bitIndex0)))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13886, 13884])).
% 135.44/86.10 tff(13888,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13889,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex0)) | v121(constB99, bitIndex0) | (~v124(constB99, bitIndex0))),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13888, 13887])).
% 135.44/86.10 tff(13890,plain,
% 135.44/86.10 ($false),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13889, 1728, 795, 13883, 13879, 13878])).
% 135.44/86.10 tff(13891,plain,(v121(constB99, bitIndex0) | (~v124(constB99, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.10 tff(13892,plain,
% 135.44/86.10 (~v124(constB99, bitIndex0)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13891, 13877])).
% 135.44/86.10 tff(13893,assumption,(~v124(constB99, bitIndex2)), introduced(assumption)).
% 135.44/86.10 tff(13894,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13895,plain,
% 135.44/86.10 (((~v116(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v116(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13896,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2)))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13895])).
% 135.44/86.10 tff(13897,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13896, 13894])).
% 135.44/86.10 tff(13898,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b100(bitIndex2)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13899,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2)),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13898, 13897])).
% 135.44/86.10 tff(13900,plain,
% 135.44/86.10 (~v116(constB99)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13899, 1772, 1769, 767, 13893])).
% 135.44/86.10 tff(13901,assumption,(v113(constB99)), introduced(assumption)).
% 135.44/86.10 tff(13902,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13903,plain,
% 135.44/86.10 (((~v113(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v113(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13904,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2)))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13903])).
% 135.44/86.10 tff(13905,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13904, 13902])).
% 135.44/86.10 tff(13906,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b100(bitIndex2)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13907,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB99)) | (~b100(bitIndex2)) | v124(constB99, bitIndex2)),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13906, 13905])).
% 135.44/86.10 tff(13908,plain,
% 135.44/86.10 ($false),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13907, 1772, 1838, 767, 13901, 13893])).
% 135.44/86.10 tff(13909,plain,(v124(constB99, bitIndex2) | (~v113(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.10 tff(13910,plain,
% 135.44/86.10 (~v113(constB99)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13909, 13893])).
% 135.44/86.10 tff(13911,assumption,(~v124(constB99, bitIndex0)), introduced(assumption)).
% 135.44/86.10 tff(13912,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~v172(constB99)) | (~b110(bitIndex2)) | v124(constB99, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB99)) | (~b110(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13913,plain,
% 135.44/86.10 (((~v172(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v172(constB99)) | (~b110(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13914,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~v172(constB99)) | (~b110(bitIndex2)) | v124(constB99, bitIndex2)))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13913])).
% 135.44/86.10 tff(13915,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB99)) | (~b110(bitIndex2)) | v124(constB99, bitIndex2))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13914, 13912])).
% 135.44/86.10 tff(13916,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB99)) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~b110(bitIndex2)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13917,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB99)) | (~b110(bitIndex2)) | v124(constB99, bitIndex2)),
% 135.44/86.10 inference(modus_ponens,[status(thm)],[13916, 13915])).
% 135.44/86.10 tff(13918,plain,
% 135.44/86.10 (~v172(constB99)),
% 135.44/86.10 inference(unit_resolution,[status(thm)],[13917, 2066, 1798, 767, 13893])).
% 135.44/86.10 tff(13919,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13920,plain,
% 135.44/86.10 (((~v118(constB99)) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.10 inference(rewrite,[status(thm)],[])).
% 135.44/86.10 tff(13921,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB99)) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0)))),
% 135.44/86.10 inference(monotonicity,[status(thm)],[13920])).
% 135.44/86.10 tff(13922,plain,
% 135.44/86.10 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB99)) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.10 inference(transitivity,[status(thm)],[13921, 13919])).
% 135.44/86.10 tff(13923,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB99)) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b011(bitIndex0)))),
% 135.44/86.10 inference(quant_inst,[status(thm)],[])).
% 135.44/86.10 tff(13924,plain,
% 135.44/86.10 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 135.44/86.11 tff(13925,plain,
% 135.44/86.11 (~v118(constB99)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13924, 1148, 1145, 795, 13911])).
% 135.44/86.11 tff(13926,assumption,(~v113(constB99)), introduced(assumption)).
% 135.44/86.11 tff(13927,assumption,(~v116(constB99)), introduced(assumption)).
% 135.44/86.11 tff(13928,assumption,(~v115(constB99)), introduced(assumption)).
% 135.44/86.11 tff(13929,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~b001(bitIndex0)) | v124(constB99, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~b001(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13930,plain,
% 135.44/86.11 ((v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~b001(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13931,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~b001(bitIndex0)) | v124(constB99, bitIndex0)))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[13930])).
% 135.44/86.11 tff(13932,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~b001(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.11 inference(transitivity,[status(thm)],[13931, 13929])).
% 135.44/86.11 tff(13933,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b001(bitIndex0)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13934,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~b001(bitIndex0)) | v124(constB99, bitIndex0)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13933, 13932])).
% 135.44/86.11 tff(13935,plain,
% 135.44/86.11 ($false),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13934, 1213, 1210, 795, 13456, 13354, 13345, 13927, 13926, 13928, 13911])).
% 135.44/86.11 tff(13936,plain,(v124(constB99, bitIndex0) | v145(constB99) | v172(constB99) | v118(constB99) | v116(constB99) | v113(constB99) | v115(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.11 tff(13937,plain,
% 135.44/86.11 (v115(constB99)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13936, 13911, 13354, 13345, 13927, 13926, 13456])).
% 135.44/86.11 tff(13938,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13939,plain,
% 135.44/86.11 (((~v115(constB99)) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13940,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB99)) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0)))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[13939])).
% 135.44/86.11 tff(13941,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB99)) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0))),
% 135.44/86.11 inference(transitivity,[status(thm)],[13940, 13938])).
% 135.44/86.11 tff(13942,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB99)) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~b011(bitIndex0)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13943,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB99)) | (~b011(bitIndex0)) | v124(constB99, bitIndex0)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13942, 13941])).
% 135.44/86.11 tff(13944,plain,
% 135.44/86.11 ($false),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13943, 1148, 1193, 795, 13937, 13911])).
% 135.44/86.11 tff(13945,plain,(v124(constB99, bitIndex0) | v172(constB99) | v118(constB99) | v116(constB99) | v113(constB99) | v145(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.11 tff(13946,plain,
% 135.44/86.11 ($false),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13945, 13925, 13918, 13911, 13910, 13456, 13900])).
% 135.44/86.11 tff(13947,plain,(v145(constB99) | v124(constB99, bitIndex0) | v124(constB99, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.11 tff(13948,plain,
% 135.44/86.11 (v124(constB99, bitIndex2)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13947, 13892, 13456])).
% 135.44/86.11 tff(13949,assumption,(~v121(constB99, bitIndex2)), introduced(assumption)).
% 135.44/86.11 tff(13950,assumption,(v124(constB99, bitIndex2)), introduced(assumption)).
% 135.44/86.11 tff(13951,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13952,plain,
% 135.44/86.11 ((v26(constB99) | v121(constB99, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2))) <=> (v26(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13953,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2)))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[13952])).
% 135.44/86.11 tff(13954,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2))),
% 135.44/86.11 inference(transitivity,[status(thm)],[13953, 13951])).
% 135.44/86.11 tff(13955,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13956,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | v121(constB99, bitIndex2)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13955, 13954])).
% 135.44/86.11 tff(13957,plain,
% 135.44/86.11 ($false),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13956, 1728, 767, 13883, 13950, 13949])).
% 135.44/86.11 tff(13958,plain,(v121(constB99, bitIndex2) | (~v124(constB99, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.11 tff(13959,plain,
% 135.44/86.11 (v121(constB99, bitIndex2)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13958, 13948])).
% 135.44/86.11 tff(13960,assumption,(~v123(constB100, bitIndex2)), introduced(assumption)).
% 135.44/86.11 tff(13961,assumption,(v121(constB99, bitIndex2)), introduced(assumption)).
% 135.44/86.11 tff(13962,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex2)) | v123(constB100, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex2)) | v123(constB100, bitIndex2) | (~v121(constB99, bitIndex2)))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13963,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex2)) | v123(constB100, bitIndex2) | (~v121(constB99, bitIndex2)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13964,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex2)) | v123(constB100, bitIndex2) | (~v121(constB99, bitIndex2))),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 135.44/86.11 tff(13965,plain,
% 135.44/86.11 ($false),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13964, 1708, 767, 13154, 13961, 13960])).
% 135.44/86.11 tff(13966,plain,(v123(constB100, bitIndex2) | (~v121(constB99, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.11 tff(13967,plain,
% 135.44/86.11 (v123(constB100, bitIndex2)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13966, 13959])).
% 135.44/86.11 tff(13968,assumption,(v123(constB100, bitIndex2)), introduced(assumption)).
% 135.44/86.11 tff(13969,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v84(constB100, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v84(constB100, bitIndex2))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13970,plain,
% 135.44/86.11 (((~less_3(bitIndex2)) | (~v94(constB100)) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2))) <=> ((~v94(constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v84(constB100, bitIndex2))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13971,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB100)) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v84(constB100, bitIndex2)))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[13970])).
% 135.44/86.11 tff(13972,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB100)) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v84(constB100, bitIndex2))),
% 135.44/86.11 inference(transitivity,[status(thm)],[13971, 13969])).
% 135.44/86.11 tff(13973,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB100)) | v84(constB100, bitIndex2) | (~v123(constB100, bitIndex2)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13974,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v84(constB100, bitIndex2)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13973, 13972])).
% 135.44/86.11 tff(13975,plain,
% 135.44/86.11 ($false),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13974, 1674, 767, 13858, 13150, 13968])).
% 135.44/86.11 tff(13976,plain,(v84(constB100, bitIndex2) | (~v94(constB100)) | (~v123(constB100, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.11 tff(13977,plain,
% 135.44/86.11 (v84(constB100, bitIndex2)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13976, 13967, 13855])).
% 135.44/86.11 tff(13978,plain,
% 135.44/86.11 (v84(constB101, bitIndex2)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13318, 13977])).
% 135.44/86.11 tff(13979,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB102, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB102, bitIndex2))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13980,plain,
% 135.44/86.11 (((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB102, bitIndex2) | (~v84(constB101, bitIndex2))) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB102, bitIndex2))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13981,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB102, bitIndex2) | (~v84(constB101, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB102, bitIndex2)))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[13980])).
% 135.44/86.11 tff(13982,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB102, bitIndex2) | (~v84(constB101, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB102, bitIndex2))),
% 135.44/86.11 inference(transitivity,[status(thm)],[13981, 13979])).
% 135.44/86.11 tff(13983,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | v84(constB102, bitIndex2) | (~v84(constB101, bitIndex2)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13984,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB102, bitIndex2)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13983, 13982])).
% 135.44/86.11 tff(13985,plain,
% 135.44/86.11 ($false),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13984, 777, 767, 13597, 13676, 13321, 13675])).
% 135.44/86.11 tff(13986,plain,(v84(constB102, bitIndex2) | v94(constB102) | (~v84(constB101, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.11 tff(13987,plain,
% 135.44/86.11 (v94(constB102)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13986, 13978, 13675])).
% 135.44/86.11 tff(13988,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB102)) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB102)) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13989,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB102)) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13990,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB102)) | (~v84(constB102, bitIndex1)) | v123(constB102, bitIndex1)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13989, 13988])).
% 135.44/86.11 tff(13991,plain,
% 135.44/86.11 ((~v94(constB102)) | v123(constB102, bitIndex1)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13990, 1344, 823, 13823])).
% 135.44/86.11 tff(13992,plain,
% 135.44/86.11 (v123(constB102, bitIndex1)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13991, 13987])).
% 135.44/86.11 tff(13993,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex1)) | (~v123(constB102, bitIndex1)) | v121(constB101, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex1)) | (~v123(constB102, bitIndex1)) | v121(constB101, bitIndex1))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13994,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex1)) | (~v123(constB102, bitIndex1)) | v121(constB101, bitIndex1))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13995,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex1)) | (~v123(constB102, bitIndex1)) | v121(constB101, bitIndex1)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13994, 13993])).
% 135.44/86.11 tff(13996,plain,
% 135.44/86.11 (v121(constB101, bitIndex1)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13995, 1362, 823, 13597, 13992])).
% 135.44/86.11 tff(13997,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(13998,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(13999,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~v121(constB101, bitIndex1))),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[13998, 13997])).
% 135.44/86.11 tff(14000,plain,
% 135.44/86.11 (v124(constB101, bitIndex1)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13999, 1380, 823, 13653, 13996])).
% 135.44/86.11 tff(14001,plain,
% 135.44/86.11 (~v116(constB101)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[13410, 2167, 2164, 823, 14000])).
% 135.44/86.11 tff(14002,assumption,(v123(constB102, bitIndex0)), introduced(assumption)).
% 135.44/86.11 tff(14003,assumption,(v94(constB102)), introduced(assumption)).
% 135.44/86.11 tff(14004,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v84(constB102, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v84(constB102, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14005,plain,
% 135.44/86.11 (((~less_3(bitIndex0)) | (~v94(constB102)) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0))) <=> ((~v94(constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v84(constB102, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14006,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB102)) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v84(constB102, bitIndex0)))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[14005])).
% 135.44/86.11 tff(14007,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB102)) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v84(constB102, bitIndex0))),
% 135.44/86.11 inference(transitivity,[status(thm)],[14006, 14004])).
% 135.44/86.11 tff(14008,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB102)) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(14009,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v84(constB102, bitIndex0)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[14008, 14007])).
% 135.44/86.11 tff(14010,plain,
% 135.44/86.11 ($false),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[14009, 1674, 795, 14003, 13677, 14002])).
% 135.44/86.11 tff(14011,plain,((~v123(constB102, bitIndex0)) | (~v94(constB102)) | v84(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.11 tff(14012,plain,
% 135.44/86.11 (~v123(constB102, bitIndex0)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[14011, 13987, 13677])).
% 135.44/86.11 tff(14013,plain,
% 135.44/86.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex0)) | v123(constB102, bitIndex0) | (~v121(constB101, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex0)) | v123(constB102, bitIndex0) | (~v121(constB101, bitIndex0)))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14014,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex0)) | v123(constB102, bitIndex0) | (~v121(constB101, bitIndex0)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(14015,plain,
% 135.44/86.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex0)) | v123(constB102, bitIndex0) | (~v121(constB101, bitIndex0))),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[14014, 14013])).
% 135.44/86.11 tff(14016,plain,
% 135.44/86.11 (~v121(constB101, bitIndex0)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[14015, 1708, 795, 13597, 14012])).
% 135.44/86.11 tff(14017,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex0)) | v121(constB101, bitIndex0) | (~v124(constB101, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex0)) | v121(constB101, bitIndex0) | (~v124(constB101, bitIndex0)))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14018,plain,
% 135.44/86.11 ((v26(constB101) | v121(constB101, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0))) <=> (v26(constB101) | (~less_3(bitIndex0)) | v121(constB101, bitIndex0) | (~v124(constB101, bitIndex0)))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14019,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex0)) | v121(constB101, bitIndex0) | (~v124(constB101, bitIndex0))))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[14018])).
% 135.44/86.11 tff(14020,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex0)) | v121(constB101, bitIndex0) | (~v124(constB101, bitIndex0)))),
% 135.44/86.11 inference(transitivity,[status(thm)],[14019, 14017])).
% 135.44/86.11 tff(14021,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(14022,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex0)) | v121(constB101, bitIndex0) | (~v124(constB101, bitIndex0))),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[14021, 14020])).
% 135.44/86.11 tff(14023,plain,
% 135.44/86.11 (~v124(constB101, bitIndex0)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[14022, 1728, 795, 13653, 14016])).
% 135.44/86.11 tff(14024,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14025,plain,
% 135.44/86.11 (((~v118(constB101)) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14026,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB101)) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0)))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[14025])).
% 135.44/86.11 tff(14027,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB101)) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.44/86.11 inference(transitivity,[status(thm)],[14026, 14024])).
% 135.44/86.11 tff(14028,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB101)) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b011(bitIndex0)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(14029,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0)),
% 135.44/86.11 inference(modus_ponens,[status(thm)],[14028, 14027])).
% 135.44/86.11 tff(14030,plain,
% 135.44/86.11 (~v118(constB101)),
% 135.44/86.11 inference(unit_resolution,[status(thm)],[14029, 1148, 1145, 795, 14023])).
% 135.44/86.11 tff(14031,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14032,plain,
% 135.44/86.11 (((~v115(constB101)) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.44/86.11 inference(rewrite,[status(thm)],[])).
% 135.44/86.11 tff(14033,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB101)) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0)))),
% 135.44/86.11 inference(monotonicity,[status(thm)],[14032])).
% 135.44/86.11 tff(14034,plain,
% 135.44/86.11 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB101)) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.44/86.11 inference(transitivity,[status(thm)],[14033, 14031])).
% 135.44/86.11 tff(14035,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB101)) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b011(bitIndex0)))),
% 135.44/86.11 inference(quant_inst,[status(thm)],[])).
% 135.44/86.11 tff(14036,plain,
% 135.44/86.11 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB101)) | (~b011(bitIndex0)) | v124(constB101, bitIndex0)),
% 135.44/86.12 inference(modus_ponens,[status(thm)],[14035, 14034])).
% 135.44/86.12 tff(14037,plain,
% 135.44/86.12 (~v115(constB101)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14036, 1148, 1193, 795, 14023])).
% 135.44/86.12 tff(14038,plain,
% 135.44/86.12 (~v113(constB101)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[13326, 13978])).
% 135.44/86.12 tff(14039,plain,
% 135.44/86.12 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v84(constB102, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v84(constB102, bitIndex2))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14040,plain,
% 135.44/86.12 (((~less_3(bitIndex2)) | (~v94(constB102)) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2))) <=> ((~v94(constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v84(constB102, bitIndex2))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14041,plain,
% 135.44/86.12 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB102)) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v84(constB102, bitIndex2)))),
% 135.44/86.12 inference(monotonicity,[status(thm)],[14040])).
% 135.44/86.12 tff(14042,plain,
% 135.44/86.12 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB102)) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v84(constB102, bitIndex2))),
% 135.44/86.12 inference(transitivity,[status(thm)],[14041, 14039])).
% 135.44/86.12 tff(14043,plain,
% 135.44/86.12 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB102)) | v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2)))),
% 135.44/86.12 inference(quant_inst,[status(thm)],[])).
% 135.44/86.12 tff(14044,plain,
% 135.44/86.12 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v84(constB102, bitIndex2)),
% 135.44/86.12 inference(modus_ponens,[status(thm)],[14043, 14042])).
% 135.44/86.12 tff(14045,plain,
% 135.44/86.12 ((~v94(constB102)) | (~v123(constB102, bitIndex2))),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14044, 1674, 767, 13675])).
% 135.44/86.12 tff(14046,plain,
% 135.44/86.12 (~v123(constB102, bitIndex2)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14045, 13987])).
% 135.44/86.12 tff(14047,assumption,(~v123(constB102, bitIndex2)), introduced(assumption)).
% 135.44/86.12 tff(14048,assumption,(v121(constB101, bitIndex2)), introduced(assumption)).
% 135.44/86.12 tff(14049,plain,
% 135.44/86.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex2)) | v123(constB102, bitIndex2) | (~v121(constB101, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex2)) | v123(constB102, bitIndex2) | (~v121(constB101, bitIndex2)))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14050,plain,
% 135.44/86.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex2)) | v123(constB102, bitIndex2) | (~v121(constB101, bitIndex2)))),
% 135.44/86.12 inference(quant_inst,[status(thm)],[])).
% 135.44/86.12 tff(14051,plain,
% 135.44/86.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex2)) | v123(constB102, bitIndex2) | (~v121(constB101, bitIndex2))),
% 135.44/86.12 inference(modus_ponens,[status(thm)],[14050, 14049])).
% 135.44/86.12 tff(14052,plain,
% 135.44/86.12 ($false),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14051, 1708, 767, 13597, 14048, 14047])).
% 135.44/86.12 tff(14053,plain,(v123(constB102, bitIndex2) | (~v121(constB101, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.12 tff(14054,plain,
% 135.44/86.12 (~v121(constB101, bitIndex2)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14053, 14046])).
% 135.44/86.12 tff(14055,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex2)) | v121(constB101, bitIndex2) | (~v124(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex2)) | v121(constB101, bitIndex2) | (~v124(constB101, bitIndex2)))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14056,plain,
% 135.44/86.12 ((v26(constB101) | v121(constB101, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2))) <=> (v26(constB101) | (~less_3(bitIndex2)) | v121(constB101, bitIndex2) | (~v124(constB101, bitIndex2)))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14057,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex2)) | v121(constB101, bitIndex2) | (~v124(constB101, bitIndex2))))),
% 135.44/86.12 inference(monotonicity,[status(thm)],[14056])).
% 135.44/86.12 tff(14058,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex2)) | v121(constB101, bitIndex2) | (~v124(constB101, bitIndex2)))),
% 135.44/86.12 inference(transitivity,[status(thm)],[14057, 14055])).
% 135.44/86.12 tff(14059,plain,
% 135.44/86.12 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB101) | v121(constB101, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)))),
% 135.44/86.12 inference(quant_inst,[status(thm)],[])).
% 135.44/86.12 tff(14060,plain,
% 135.44/86.12 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex2)) | v121(constB101, bitIndex2) | (~v124(constB101, bitIndex2))),
% 135.44/86.12 inference(modus_ponens,[status(thm)],[14059, 14058])).
% 135.44/86.12 tff(14061,plain,
% 135.44/86.12 (~v124(constB101, bitIndex2)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14060, 1728, 767, 13653, 14054])).
% 135.44/86.12 tff(14062,assumption,(~v124(constB101, bitIndex2)), introduced(assumption)).
% 135.44/86.12 tff(14063,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB101)) | v124(constB101, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB101)) | v124(constB101, bitIndex2))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14064,plain,
% 135.44/86.12 (((~v172(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB101)) | v124(constB101, bitIndex2))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14065,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB101)) | v124(constB101, bitIndex2)))),
% 135.44/86.12 inference(monotonicity,[status(thm)],[14064])).
% 135.44/86.12 tff(14066,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB101)) | v124(constB101, bitIndex2))),
% 135.44/86.12 inference(transitivity,[status(thm)],[14065, 14063])).
% 135.44/86.12 tff(14067,plain,
% 135.44/86.12 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b110(bitIndex2)))),
% 135.44/86.12 inference(quant_inst,[status(thm)],[])).
% 135.44/86.12 tff(14068,plain,
% 135.44/86.12 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB101)) | v124(constB101, bitIndex2)),
% 135.44/86.12 inference(modus_ponens,[status(thm)],[14067, 14066])).
% 135.44/86.12 tff(14069,plain,
% 135.44/86.12 ($false),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14068, 2066, 1798, 767, 13702, 14062])).
% 135.44/86.12 tff(14070,plain,(v124(constB101, bitIndex2) | (~v172(constB101))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.12 tff(14071,plain,
% 135.44/86.12 (~v172(constB101)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14070, 14061])).
% 135.44/86.12 tff(14072,plain,
% 135.44/86.12 (v145(constB101) | v118(constB101) | v116(constB101) | v115(constB101)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[13478, 2601, 2424, 823, 14071, 14038, 14000])).
% 135.44/86.12 tff(14073,plain,
% 135.44/86.12 (v145(constB101)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14072, 14037, 14030, 14001])).
% 135.44/86.12 tff(14074,plain,
% 135.44/86.12 ($false),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[13427, 788, 14073, 13384])).
% 135.44/86.12 tff(14075,plain,(v84(constB101, bitIndex0) | v84(constB102, bitIndex2) | (~v84(constB102, bitIndex1)) | v84(constB102, bitIndex0) | v145(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.44/86.12 tff(14076,plain,
% 135.44/86.12 (v145(constB99)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14075, 13853, 13677, 13822, 13687])).
% 135.44/86.12 tff(14077,plain,
% 135.44/86.12 (~v84(constB101, bitIndex2)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[13986, 13853, 13676])).
% 135.44/86.12 tff(14078,assumption,(v145(constB99)), introduced(assumption)).
% 135.44/86.12 tff(14079,assumption,(~v124(constB99, bitIndex1)), introduced(assumption)).
% 135.44/86.12 tff(14080,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB99)) | (~b010(bitIndex1)) | v124(constB99, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB99)) | (~b010(bitIndex1)) | v124(constB99, bitIndex1))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14081,plain,
% 135.44/86.12 (((~v145(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB99)) | (~b010(bitIndex1)) | v124(constB99, bitIndex1))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14082,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB99)) | (~b010(bitIndex1)) | v124(constB99, bitIndex1)))),
% 135.44/86.12 inference(monotonicity,[status(thm)],[14081])).
% 135.44/86.12 tff(14083,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB99)) | (~b010(bitIndex1)) | v124(constB99, bitIndex1))),
% 135.44/86.12 inference(transitivity,[status(thm)],[14082, 14080])).
% 135.44/86.12 tff(14084,plain,
% 135.44/86.12 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b010(bitIndex1)))),
% 135.44/86.12 inference(quant_inst,[status(thm)],[])).
% 135.44/86.12 tff(14085,plain,
% 135.44/86.12 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB99)) | (~b010(bitIndex1)) | v124(constB99, bitIndex1)),
% 135.44/86.12 inference(modus_ponens,[status(thm)],[14084, 14083])).
% 135.44/86.12 tff(14086,plain,
% 135.44/86.12 ($false),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14085, 1821, 1818, 823, 14078, 14079])).
% 135.44/86.12 tff(14087,plain,(v124(constB99, bitIndex1) | (~v145(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.44/86.12 tff(14088,plain,
% 135.44/86.12 (v124(constB99, bitIndex1)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14087, 14078])).
% 135.44/86.12 tff(14089,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14090,plain,
% 135.44/86.12 ((v26(constB99) | v121(constB99, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1))) <=> (v26(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14091,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)))),
% 135.44/86.12 inference(monotonicity,[status(thm)],[14090])).
% 135.44/86.12 tff(14092,plain,
% 135.44/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1))),
% 135.44/86.12 inference(transitivity,[status(thm)],[14091, 14089])).
% 135.44/86.12 tff(14093,plain,
% 135.44/86.12 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB99) | v121(constB99, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)))),
% 135.44/86.12 inference(quant_inst,[status(thm)],[])).
% 135.44/86.12 tff(14094,plain,
% 135.44/86.12 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | v121(constB99, bitIndex1)),
% 135.44/86.12 inference(modus_ponens,[status(thm)],[14093, 14092])).
% 135.44/86.12 tff(14095,plain,
% 135.44/86.12 (v121(constB99, bitIndex1)),
% 135.44/86.12 inference(unit_resolution,[status(thm)],[14094, 1728, 823, 13883, 14088])).
% 135.44/86.12 tff(14096,assumption,(v121(constB99, bitIndex1)), introduced(assumption)).
% 135.44/86.12 tff(14097,assumption,(~v123(constB100, bitIndex1)), introduced(assumption)).
% 135.44/86.12 tff(14098,plain,
% 135.44/86.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex1)) | v123(constB100, bitIndex1) | (~v121(constB99, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex1)) | v123(constB100, bitIndex1) | (~v121(constB99, bitIndex1)))),
% 135.44/86.12 inference(rewrite,[status(thm)],[])).
% 135.44/86.12 tff(14099,plain,
% 135.44/86.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex1)) | v123(constB100, bitIndex1) | (~v121(constB99, bitIndex1)))),
% 135.48/86.12 inference(quant_inst,[status(thm)],[])).
% 135.48/86.12 tff(14100,plain,
% 135.48/86.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex1)) | v123(constB100, bitIndex1) | (~v121(constB99, bitIndex1))),
% 135.48/86.12 inference(modus_ponens,[status(thm)],[14099, 14098])).
% 135.48/86.12 tff(14101,plain,
% 135.48/86.12 ($false),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14100, 1708, 823, 13154, 14097, 14096])).
% 135.48/86.12 tff(14102,plain,(v123(constB100, bitIndex1) | (~v121(constB99, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.48/86.12 tff(14103,plain,
% 135.48/86.12 (v123(constB100, bitIndex1)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14102, 14095])).
% 135.48/86.12 tff(14104,plain,
% 135.48/86.12 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v84(constB100, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v84(constB100, bitIndex1))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14105,plain,
% 135.48/86.12 (((~less_3(bitIndex1)) | (~v94(constB100)) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1))) <=> ((~v94(constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v84(constB100, bitIndex1))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14106,plain,
% 135.48/86.12 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB100)) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v84(constB100, bitIndex1)))),
% 135.48/86.12 inference(monotonicity,[status(thm)],[14105])).
% 135.48/86.12 tff(14107,plain,
% 135.48/86.12 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB100)) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v84(constB100, bitIndex1))),
% 135.48/86.12 inference(transitivity,[status(thm)],[14106, 14104])).
% 135.48/86.12 tff(14108,plain,
% 135.48/86.12 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB100)) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1)))),
% 135.48/86.12 inference(quant_inst,[status(thm)],[])).
% 135.48/86.12 tff(14109,plain,
% 135.48/86.12 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v84(constB100, bitIndex1)),
% 135.48/86.12 inference(modus_ponens,[status(thm)],[14108, 14107])).
% 135.48/86.12 tff(14110,plain,
% 135.48/86.12 (v84(constB100, bitIndex1)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14109, 1674, 823, 13858, 14103])).
% 135.48/86.12 tff(14111,plain,
% 135.48/86.12 (v84(constB101, bitIndex1)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[13487, 14110])).
% 135.48/86.12 tff(14112,plain,
% 135.48/86.12 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex2) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v115(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex2) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v115(constB101))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14113,plain,
% 135.48/86.12 ((v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101)) <=> (v84(constB101, bitIndex2) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v115(constB101))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14114,plain,
% 135.48/86.12 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex2) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v115(constB101)))),
% 135.48/86.12 inference(monotonicity,[status(thm)],[14113])).
% 135.48/86.12 tff(14115,plain,
% 135.48/86.12 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex2) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v115(constB101))),
% 135.48/86.12 inference(transitivity,[status(thm)],[14114, 14112])).
% 135.48/86.12 tff(14116,plain,
% 135.48/86.12 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v115(constB101))),
% 135.48/86.12 inference(quant_inst,[status(thm)],[])).
% 135.48/86.12 tff(14117,plain,
% 135.48/86.12 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB101, bitIndex2) | v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v115(constB101)),
% 135.48/86.12 inference(modus_ponens,[status(thm)],[14116, 14115])).
% 135.48/86.12 tff(14118,plain,
% 135.48/86.12 (v84(constB101, bitIndex0) | (~v84(constB101, bitIndex1)) | v115(constB101)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14117, 1095, 13294])).
% 135.48/86.12 tff(14119,plain,
% 135.48/86.12 (v84(constB101, bitIndex0)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14118, 14111, 13412])).
% 135.48/86.12 tff(14120,plain,
% 135.48/86.12 (v84(constB100, bitIndex0)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[13431, 805, 795, 13301, 13313, 14119])).
% 135.48/86.12 tff(14121,plain,
% 135.48/86.12 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB100)) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB100)) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14122,plain,
% 135.48/86.12 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB100)) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0))),
% 135.48/86.12 inference(quant_inst,[status(thm)],[])).
% 135.48/86.12 tff(14123,plain,
% 135.48/86.12 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB100)) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0)),
% 135.48/86.12 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 135.48/86.12 tff(14124,plain,
% 135.48/86.12 (v123(constB100, bitIndex0)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14123, 1344, 795, 13858, 14120])).
% 135.48/86.12 tff(14125,plain,
% 135.48/86.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v121(constB99, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v121(constB99, bitIndex0))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14126,plain,
% 135.48/86.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v121(constB99, bitIndex0))),
% 135.48/86.12 inference(quant_inst,[status(thm)],[])).
% 135.48/86.12 tff(14127,plain,
% 135.48/86.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex0)) | (~v123(constB100, bitIndex0)) | v121(constB99, bitIndex0)),
% 135.48/86.12 inference(modus_ponens,[status(thm)],[14126, 14125])).
% 135.48/86.12 tff(14128,plain,
% 135.48/86.12 (v121(constB99, bitIndex0)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14127, 1362, 795, 13154, 14124])).
% 135.48/86.12 tff(14129,plain,
% 135.48/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex0)) | (~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex0)) | (~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14130,plain,
% 135.48/86.12 ((v26(constB99) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0))) <=> (v26(constB99) | (~less_3(bitIndex0)) | (~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14131,plain,
% 135.48/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex0)) | (~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0)))),
% 135.48/86.12 inference(monotonicity,[status(thm)],[14130])).
% 135.48/86.12 tff(14132,plain,
% 135.48/86.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex0)) | (~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0))),
% 135.48/86.12 inference(transitivity,[status(thm)],[14131, 14129])).
% 135.48/86.12 tff(14133,plain,
% 135.48/86.12 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex0)) | v124(constB99, bitIndex0) | (~v121(constB99, bitIndex0)))),
% 135.48/86.12 inference(quant_inst,[status(thm)],[])).
% 135.48/86.12 tff(14134,plain,
% 135.48/86.12 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex0)) | (~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0)),
% 135.48/86.12 inference(modus_ponens,[status(thm)],[14133, 14132])).
% 135.48/86.12 tff(14135,plain,
% 135.48/86.12 (v124(constB99, bitIndex0)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14134, 1380, 795, 13883, 14128])).
% 135.48/86.12 tff(14136,plain,
% 135.48/86.12 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB99)) | (~v124(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14137,plain,
% 135.48/86.12 (((~v145(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14138,plain,
% 135.48/86.12 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB99)) | (~v124(constB99, bitIndex0))))),
% 135.48/86.12 inference(monotonicity,[status(thm)],[14137])).
% 135.48/86.12 tff(14139,plain,
% 135.48/86.12 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.48/86.12 inference(transitivity,[status(thm)],[14138, 14136])).
% 135.48/86.12 tff(14140,plain,
% 135.48/86.12 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b010(bitIndex0))),
% 135.48/86.12 inference(quant_inst,[status(thm)],[])).
% 135.48/86.12 tff(14141,plain,
% 135.48/86.12 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB99)) | (~v124(constB99, bitIndex0))),
% 135.48/86.12 inference(modus_ponens,[status(thm)],[14140, 14139])).
% 135.48/86.12 tff(14142,plain,
% 135.48/86.12 ($false),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14141, 2299, 1416, 795, 14078, 14135])).
% 135.48/86.12 tff(14143,plain,((~v145(constB99)) | (~v94(constB100)) | v115(constB101) | v84(constB101, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.12 tff(14144,plain,
% 135.48/86.12 (v115(constB101)),
% 135.48/86.12 inference(unit_resolution,[status(thm)],[14143, 14077, 14076, 13689])).
% 135.48/86.12 tff(14145,plain,
% 135.48/86.12 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB101) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB101) | (~v115(constB101)))),
% 135.48/86.12 inference(rewrite,[status(thm)],[])).
% 135.48/86.12 tff(14146,plain,
% 135.48/86.12 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB101) | (~v115(constB101)))),
% 135.48/86.12 inference(quant_inst,[status(thm)],[])).
% 135.48/86.12 tff(14147,plain,
% 135.48/86.12 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB101) | (~v115(constB101))),
% 135.48/86.12 inference(modus_ponens,[status(thm)],[14146, 14145])).
% 135.48/86.12 tff(14148,plain,
% 135.48/86.13 (v111(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14147, 945, 14144])).
% 135.48/86.13 tff(14149,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13806, 691, 13803, 14148])).
% 135.48/86.13 tff(14150,plain,(v94(constB102) | v84(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14151,plain,
% 135.48/86.13 (v84(constB102, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14150, 13676])).
% 135.48/86.13 tff(14152,plain,
% 135.48/86.13 (v84(constB102, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13686, 13676, 13678])).
% 135.48/86.13 tff(14153,plain,
% 135.48/86.13 (~v84(constB101, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13986, 13676, 13675])).
% 135.48/86.13 tff(14154,plain,
% 135.48/86.13 (~v84(constB100, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13318, 13294])).
% 135.48/86.13 tff(14155,plain,
% 135.48/86.13 (v94(constB100)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13292, 14154])).
% 135.48/86.13 tff(14156,assumption,(v115(constB101)), introduced(assumption)).
% 135.48/86.13 tff(14157,plain,
% 135.48/86.13 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB101, bitIndex1) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB101, bitIndex1) | (~v115(constB101)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14158,plain,
% 135.48/86.13 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB101, bitIndex1) | (~v115(constB101)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14159,plain,
% 135.48/86.13 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB101, bitIndex1) | (~v115(constB101))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14158, 14157])).
% 135.48/86.13 tff(14160,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14159, 11343, 13484, 14156])).
% 135.48/86.13 tff(14161,plain,((~v115(constB101)) | v84(constB101, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14162,plain,
% 135.48/86.13 (~v115(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14161, 13484])).
% 135.48/86.13 tff(14163,plain,
% 135.48/86.13 (~v145(constB99)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14143, 13294, 13412, 13858])).
% 135.48/86.13 tff(14164,plain,
% 135.48/86.13 (v124(constB99, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13947, 14163, 13911])).
% 135.48/86.13 tff(14165,plain,
% 135.48/86.13 (~v123(constB100, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13976, 14154, 13858])).
% 135.48/86.13 tff(14166,plain,
% 135.48/86.13 (~v121(constB99, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13966, 14165])).
% 135.48/86.13 tff(14167,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13958, 14166, 14164])).
% 135.48/86.13 tff(14168,plain,(v84(constB101, bitIndex2) | v124(constB99, bitIndex0) | (~v94(constB100)) | v115(constB101)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14169,plain,
% 135.48/86.13 (v124(constB99, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14168, 14162, 13294, 14155])).
% 135.48/86.13 tff(14170,plain,
% 135.48/86.13 (v121(constB99, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13891, 14169])).
% 135.48/86.13 tff(14171,plain,
% 135.48/86.13 (v123(constB100, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13876, 14170])).
% 135.48/86.13 tff(14172,plain,
% 135.48/86.13 (v84(constB100, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13868, 14171])).
% 135.48/86.13 tff(14173,plain,
% 135.48/86.13 (v84(constB101, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13390, 14172])).
% 135.48/86.13 tff(14174,plain,
% 135.48/86.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB101) | v84(constB101, bitIndex2) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB101) | v84(constB101, bitIndex2) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14175,plain,
% 135.48/86.13 (((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2) | v145(constB101)) <=> (v145(constB101) | v84(constB101, bitIndex2) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14176,plain,
% 135.48/86.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2) | v145(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB101) | v84(constB101, bitIndex2) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0))))),
% 135.48/86.13 inference(monotonicity,[status(thm)],[14175])).
% 135.48/86.13 tff(14177,plain,
% 135.48/86.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2) | v145(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB101) | v84(constB101, bitIndex2) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)))),
% 135.48/86.13 inference(transitivity,[status(thm)],[14176, 14174])).
% 135.48/86.13 tff(14178,plain,
% 135.48/86.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2) | v145(constB101))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14179,plain,
% 135.48/86.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB101) | v84(constB101, bitIndex2) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 135.48/86.13 tff(14180,plain,
% 135.48/86.13 (v145(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14179, 865, 13294, 14173, 13484])).
% 135.48/86.13 tff(14181,plain,
% 135.48/86.13 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB101) | (~v145(constB101)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB101) | (~v145(constB101)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14182,plain,
% 135.48/86.13 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB101) | (~v145(constB101)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14183,plain,
% 135.48/86.13 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB101) | (~v145(constB101))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 135.48/86.13 tff(14184,plain,
% 135.48/86.13 (v112(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14183, 713, 14180])).
% 135.48/86.13 tff(14185,plain,
% 135.48/86.13 (v111(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13810, 702, 14184])).
% 135.48/86.13 tff(14186,plain,
% 135.48/86.13 (v110(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13806, 691, 14185])).
% 135.48/86.13 tff(14187,plain,
% 135.48/86.13 (v109(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13802, 680, 14186])).
% 135.48/86.13 tff(14188,plain,
% 135.48/86.13 (v108(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13709, 669, 14187])).
% 135.48/86.13 tff(14189,plain,
% 135.48/86.13 (v107(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13713, 658, 14188])).
% 135.48/86.13 tff(14190,plain,
% 135.48/86.13 (v106(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13721, 14189])).
% 135.48/86.13 tff(14191,plain,
% 135.48/86.13 (v102(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13725, 619, 14190])).
% 135.48/86.13 tff(14192,plain,
% 135.48/86.13 (v104(constB102)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13733, 14191])).
% 135.48/86.13 tff(14193,plain,
% 135.48/86.13 (v94(constB102)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13753, 14192])).
% 135.48/86.13 tff(14194,assumption,(v84(constB102, bitIndex0)), introduced(assumption)).
% 135.48/86.13 tff(14195,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB102)) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB102)) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14196,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB102)) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14197,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB102)) | (~v84(constB102, bitIndex0)) | v123(constB102, bitIndex0)),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14196, 14195])).
% 135.48/86.13 tff(14198,plain,
% 135.48/86.13 ((~v94(constB102)) | v123(constB102, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14197, 1344, 795, 14194])).
% 135.48/86.13 tff(14199,plain,
% 135.48/86.13 (v123(constB102, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14198, 14193])).
% 135.48/86.13 tff(14200,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v121(constB101, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v121(constB101, bitIndex0))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14201,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v121(constB101, bitIndex0))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14202,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex0)) | (~v123(constB102, bitIndex0)) | v121(constB101, bitIndex0)),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14201, 14200])).
% 135.48/86.13 tff(14203,plain,
% 135.48/86.13 (v121(constB101, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14202, 1362, 795, 13597, 14199])).
% 135.48/86.13 tff(14204,plain,
% 135.48/86.13 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14205,plain,
% 135.48/86.13 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14206,plain,
% 135.48/86.13 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~v121(constB101, bitIndex0))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14205, 14204])).
% 135.48/86.13 tff(14207,plain,
% 135.48/86.13 (v124(constB101, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14206, 1380, 795, 13653, 14203])).
% 135.48/86.13 tff(14208,plain,
% 135.48/86.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB101)) | (~v124(constB101, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14209,plain,
% 135.48/86.13 (((~v145(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14210,plain,
% 135.48/86.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB101)) | (~v124(constB101, bitIndex0))))),
% 135.48/86.13 inference(monotonicity,[status(thm)],[14209])).
% 135.48/86.13 tff(14211,plain,
% 135.48/86.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.48/86.13 inference(transitivity,[status(thm)],[14210, 14208])).
% 135.48/86.13 tff(14212,plain,
% 135.48/86.13 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b010(bitIndex0))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14213,plain,
% 135.48/86.13 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB101)) | (~v124(constB101, bitIndex0))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14212, 14211])).
% 135.48/86.13 tff(14214,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14213, 2299, 1416, 795, 14180, 14207])).
% 135.48/86.13 tff(14215,plain,((~v84(constB102, bitIndex0)) | v84(constB101, bitIndex2) | v84(constB101, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14216,plain,
% 135.48/86.13 (v84(constB101, bitIndex1)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14215, 14153, 14152])).
% 135.48/86.13 tff(14217,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB102, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB102, bitIndex0)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14218,plain,
% 135.48/86.13 (((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB102, bitIndex0)) | v84(constB101, bitIndex0)) <=> ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB102, bitIndex0)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14219,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB102, bitIndex0)) | v84(constB101, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB102, bitIndex0))))),
% 135.48/86.13 inference(monotonicity,[status(thm)],[14218])).
% 135.48/86.13 tff(14220,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB102, bitIndex0)) | v84(constB101, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB102, bitIndex0)))),
% 135.48/86.13 inference(transitivity,[status(thm)],[14219, 14217])).
% 135.48/86.13 tff(14221,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | (~v84(constB102, bitIndex0)) | v84(constB101, bitIndex0))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14222,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB101, constB102)) | v94(constB102) | (~less_3(bitIndex0)) | v84(constB101, bitIndex0) | (~v84(constB102, bitIndex0))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 135.48/86.13 tff(14223,plain,
% 135.48/86.13 (v94(constB102) | v84(constB101, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14222, 805, 795, 13597, 14194])).
% 135.48/86.13 tff(14224,plain,
% 135.48/86.13 (v84(constB101, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14223, 13676])).
% 135.48/86.13 tff(14225,plain,
% 135.48/86.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(constB101, bitIndex2) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v116(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v116(constB101))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14226,plain,
% 135.48/86.13 (((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101)) <=> (v84(constB101, bitIndex2) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v116(constB101))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14227,plain,
% 135.48/86.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(constB101, bitIndex2) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v116(constB101)))),
% 135.48/86.13 inference(monotonicity,[status(thm)],[14226])).
% 135.48/86.13 tff(14228,plain,
% 135.48/86.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v116(constB101))),
% 135.48/86.13 inference(transitivity,[status(thm)],[14227, 14225])).
% 135.48/86.13 tff(14229,plain,
% 135.48/86.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB101))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14230,plain,
% 135.48/86.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1)) | v116(constB101)),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 135.48/86.13 tff(14231,plain,
% 135.48/86.13 (v116(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14230, 1076, 14153, 14224, 13831])).
% 135.48/86.13 tff(14232,plain,
% 135.48/86.13 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB101) | (~v116(constB101)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB101) | (~v116(constB101)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14233,plain,
% 135.48/86.13 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB101) | (~v116(constB101)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14234,plain,
% 135.48/86.13 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB101) | (~v116(constB101))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 135.48/86.13 tff(14235,plain,
% 135.48/86.13 (v110(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14234, 934, 14231])).
% 135.48/86.13 tff(14236,plain,
% 135.48/86.13 (v109(constB101)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13802, 680, 14235])).
% 135.48/86.13 tff(14237,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13709, 669, 14236, 13798])).
% 135.48/86.13 tff(14238,plain,(v94(constB102) | (~v84(constB102, bitIndex0)) | (~v84(constB102, bitIndex1)) | v84(constB102, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14239,plain,
% 135.48/86.13 (~v84(constB102, bitIndex1)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14238, 14152, 13676, 13675])).
% 135.48/86.13 tff(14240,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13792, 14239, 14216, 13676])).
% 135.48/86.13 tff(14241,plain,(v94(constB102) | v84(constB102, bitIndex2) | (~v84(constB101, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14242,plain,
% 135.48/86.13 (~v84(constB101, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14241, 13676, 13675])).
% 135.48/86.13 tff(14243,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14223, 14242, 13676])).
% 135.48/86.13 tff(14244,plain,(v94(constB102) | (~v84(constB102, bitIndex0)) | v84(constB102, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14245,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14244, 14151, 13676, 13675])).
% 135.48/86.13 tff(14246,plain,(v94(constB102) | v84(constB102, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14247,plain,
% 135.48/86.13 (v84(constB102, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14246, 13674])).
% 135.48/86.13 tff(14248,plain,
% 135.48/86.13 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14249,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_102_1')).
% 135.48/86.13 tff(14250,plain,
% 135.48/86.13 (nextState(constB102, constB103)),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14249, 14248])).
% 135.48/86.13 tff(14251,plain,
% 135.48/86.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14252,plain,
% 135.48/86.13 (((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103)) <=> (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14253,plain,
% 135.48/86.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))))),
% 135.48/86.13 inference(monotonicity,[status(thm)],[14252])).
% 135.48/86.13 tff(14254,plain,
% 135.48/86.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103)))),
% 135.48/86.13 inference(transitivity,[status(thm)],[14253, 14251])).
% 135.48/86.13 tff(14255,plain,
% 135.48/86.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB102, constB103)) | (~v95(constB103)) | v1(constB103))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14256,plain,
% 135.48/86.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB103) | (~nextState(constB102, constB103)) | (~v95(constB103))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14255, 14254])).
% 135.48/86.13 tff(14257,plain,
% 135.48/86.13 (~v95(constB103)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14256, 742, 14250, 9210])).
% 135.48/86.13 tff(14258,plain,
% 135.48/86.13 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14259,plain,
% 135.48/86.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14260,plain,
% 135.48/86.13 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB102, constB103)) | v95(constB103) | (~v94(constB103))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14259, 14258])).
% 135.48/86.13 tff(14261,plain,
% 135.48/86.13 (v95(constB103) | (~v94(constB103))),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14260, 759, 14250])).
% 135.48/86.13 tff(14262,plain,
% 135.48/86.13 (~v94(constB103)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14261, 14257])).
% 135.48/86.13 tff(14263,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB102, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB102, bitIndex2)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14264,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB102, bitIndex2)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14265,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex2)) | v84(constB103, bitIndex2) | (~v84(constB102, bitIndex2))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14264, 14263])).
% 135.48/86.13 tff(14266,plain,
% 135.48/86.13 ($false),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14265, 777, 767, 14250, 14262, 9275, 13832])).
% 135.48/86.13 tff(14267,plain,(v84(constB103, bitIndex2) | (~v84(constB102, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.48/86.13 tff(14268,plain,
% 135.48/86.13 (v84(constB103, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14267, 14247])).
% 135.48/86.13 tff(14269,assumption,(v172(constB103)), introduced(assumption)).
% 135.48/86.13 tff(14270,plain,
% 135.48/86.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB103, bitIndex1)) | (~v172(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB103, bitIndex1)) | (~v172(constB103)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14271,plain,
% 135.48/86.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB103, bitIndex1)) | (~v172(constB103)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14272,plain,
% 135.48/86.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB103, bitIndex1)) | (~v172(constB103))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 135.48/86.13 tff(14273,plain,
% 135.48/86.13 (~v84(constB103, bitIndex1)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14272, 2289, 14269])).
% 135.48/86.13 tff(14274,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB102, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB102, bitIndex1)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14275,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB102, bitIndex1)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14276,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex1)) | v84(constB103, bitIndex1) | (~v84(constB102, bitIndex1))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 135.48/86.13 tff(14277,plain,
% 135.48/86.13 (~v84(constB102, bitIndex1)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14276, 777, 823, 14250, 14262, 14273])).
% 135.48/86.13 tff(14278,plain,
% 135.48/86.13 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB103, bitIndex2) | (~v172(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB103, bitIndex2) | (~v172(constB103)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14279,plain,
% 135.48/86.13 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB103, bitIndex2) | (~v172(constB103)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14280,plain,
% 135.48/86.13 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB103, bitIndex2) | (~v172(constB103))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 135.48/86.13 tff(14281,plain,
% 135.48/86.13 (v84(constB103, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14280, 5263, 14269])).
% 135.48/86.13 tff(14282,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB102, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB102, bitIndex2))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14283,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB102, bitIndex2))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14284,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex2)) | (~v84(constB103, bitIndex2)) | v84(constB102, bitIndex2)),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14283, 14282])).
% 135.48/86.13 tff(14285,plain,
% 135.48/86.13 (v84(constB102, bitIndex2)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14284, 805, 767, 14250, 14262, 14281])).
% 135.48/86.13 tff(14286,plain,
% 135.48/86.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v172(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB103, bitIndex0)) | (~v172(constB103)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14287,plain,
% 135.48/86.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v172(constB103)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14288,plain,
% 135.48/86.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB103, bitIndex0)) | (~v172(constB103))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14287, 14286])).
% 135.48/86.13 tff(14289,plain,
% 135.48/86.13 (~v84(constB103, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14288, 7708, 14269])).
% 135.48/86.13 tff(14290,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB102, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB102, bitIndex0)))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14291,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB102, bitIndex0)))),
% 135.48/86.13 inference(quant_inst,[status(thm)],[])).
% 135.48/86.13 tff(14292,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex0)) | v84(constB103, bitIndex0) | (~v84(constB102, bitIndex0))),
% 135.48/86.13 inference(modus_ponens,[status(thm)],[14291, 14290])).
% 135.48/86.13 tff(14293,plain,
% 135.48/86.13 (~v84(constB102, bitIndex0)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[14292, 777, 795, 14250, 14262, 14289])).
% 135.48/86.13 tff(14294,plain,
% 135.48/86.13 (v94(constB102)),
% 135.48/86.13 inference(unit_resolution,[status(thm)],[13700, 13391])).
% 135.48/86.13 tff(14295,plain,
% 135.48/86.13 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB102)) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB102)) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2))),
% 135.48/86.13 inference(rewrite,[status(thm)],[])).
% 135.48/86.13 tff(14296,plain,
% 135.48/86.13 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB102)) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2))),
% 135.48/86.14 inference(quant_inst,[status(thm)],[])).
% 135.48/86.14 tff(14297,plain,
% 135.48/86.14 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB102)) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2)),
% 135.48/86.14 inference(modus_ponens,[status(thm)],[14296, 14295])).
% 135.48/86.14 tff(14298,plain,
% 135.48/86.14 ((~v94(constB102)) | v123(constB102, bitIndex2)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14297, 1344, 767, 13832])).
% 135.48/86.14 tff(14299,plain,
% 135.48/86.14 (v123(constB102, bitIndex2)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14298, 14294])).
% 135.48/86.14 tff(14300,plain,
% 135.48/86.14 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v121(constB101, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v121(constB101, bitIndex2))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14301,plain,
% 135.48/86.14 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB101, constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v121(constB101, bitIndex2))),
% 135.48/86.14 inference(quant_inst,[status(thm)],[])).
% 135.48/86.14 tff(14302,plain,
% 135.48/86.14 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB101, constB102)) | (~less_3(bitIndex2)) | (~v123(constB102, bitIndex2)) | v121(constB101, bitIndex2)),
% 135.48/86.14 inference(modus_ponens,[status(thm)],[14301, 14300])).
% 135.48/86.14 tff(14303,plain,
% 135.48/86.14 (v121(constB101, bitIndex2)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14302, 1362, 767, 13597, 14299])).
% 135.48/86.14 tff(14304,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex2)) | (~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex2)) | (~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14305,plain,
% 135.48/86.14 ((v26(constB101) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2))) <=> (v26(constB101) | (~less_3(bitIndex2)) | (~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14306,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex2)) | (~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(monotonicity,[status(thm)],[14305])).
% 135.48/86.14 tff(14307,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex2)) | (~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2))),
% 135.48/86.14 inference(transitivity,[status(thm)],[14306, 14304])).
% 135.48/86.14 tff(14308,plain,
% 135.48/86.14 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB101) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~v121(constB101, bitIndex2)))),
% 135.48/86.14 inference(quant_inst,[status(thm)],[])).
% 135.48/86.14 tff(14309,plain,
% 135.48/86.14 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB101) | (~less_3(bitIndex2)) | (~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2)),
% 135.48/86.14 inference(modus_ponens,[status(thm)],[14308, 14307])).
% 135.48/86.14 tff(14310,plain,
% 135.48/86.14 (v124(constB101, bitIndex2)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14309, 1380, 767, 13653, 14303])).
% 135.48/86.14 tff(14311,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB101)) | (~v124(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14312,plain,
% 135.48/86.14 (((~v115(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14313,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB101)) | (~v124(constB101, bitIndex2))))),
% 135.48/86.14 inference(monotonicity,[status(thm)],[14312])).
% 135.48/86.14 tff(14314,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(transitivity,[status(thm)],[14313, 14311])).
% 135.48/86.14 tff(14315,plain,
% 135.48/86.14 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b011(bitIndex2))),
% 135.48/86.14 inference(quant_inst,[status(thm)],[])).
% 135.48/86.14 tff(14316,plain,
% 135.48/86.14 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB101)) | (~v124(constB101, bitIndex2))),
% 135.48/86.14 inference(modus_ponens,[status(thm)],[14315, 14314])).
% 135.48/86.14 tff(14317,plain,
% 135.48/86.14 (~v115(constB101)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14316, 2030, 2257, 767, 14310])).
% 135.48/86.14 tff(14318,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB101)) | (~v124(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14319,plain,
% 135.48/86.14 (((~v118(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14320,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB101)) | (~v124(constB101, bitIndex2))))),
% 135.48/86.14 inference(monotonicity,[status(thm)],[14319])).
% 135.48/86.14 tff(14321,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(transitivity,[status(thm)],[14320, 14318])).
% 135.48/86.14 tff(14322,plain,
% 135.48/86.14 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b011(bitIndex2))),
% 135.48/86.14 inference(quant_inst,[status(thm)],[])).
% 135.48/86.14 tff(14323,plain,
% 135.48/86.14 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB101)) | (~v124(constB101, bitIndex2))),
% 135.48/86.14 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 135.48/86.14 tff(14324,plain,
% 135.48/86.14 (~v118(constB101)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14323, 2030, 2027, 767, 14310])).
% 135.48/86.14 tff(14325,plain,
% 135.48/86.14 (~v123(constB102, bitIndex1)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[13761, 14294])).
% 135.48/86.14 tff(14326,plain,
% 135.48/86.14 (~v121(constB101, bitIndex1)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[13765, 1708, 823, 13597, 14325])).
% 135.48/86.14 tff(14327,plain,
% 135.48/86.14 (~v124(constB101, bitIndex1)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[13772, 1728, 823, 13653, 14326])).
% 135.48/86.14 tff(14328,plain,
% 135.48/86.14 (~v172(constB101)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[13779, 1801, 1798, 823, 14327])).
% 135.48/86.14 tff(14329,plain,
% 135.48/86.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v113(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB101, bitIndex0)) | (~v113(constB101)))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14330,plain,
% 135.48/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v113(constB101)))),
% 135.48/86.14 inference(quant_inst,[status(thm)],[])).
% 135.48/86.14 tff(14331,plain,
% 135.48/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB101, bitIndex0)) | (~v113(constB101))),
% 135.48/86.14 inference(modus_ponens,[status(thm)],[14330, 14329])).
% 135.48/86.14 tff(14332,plain,
% 135.48/86.14 (~v113(constB101)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14331, 2764, 13391])).
% 135.48/86.14 tff(14333,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14334,plain,
% 135.48/86.14 ((v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(rewrite,[status(thm)],[])).
% 135.48/86.14 tff(14335,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex2))))),
% 135.48/86.14 inference(monotonicity,[status(thm)],[14334])).
% 135.48/86.14 tff(14336,plain,
% 135.48/86.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex2)))),
% 135.48/86.14 inference(transitivity,[status(thm)],[14335, 14333])).
% 135.48/86.14 tff(14337,plain,
% 135.48/86.14 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b001(bitIndex2))),
% 135.48/86.14 inference(quant_inst,[status(thm)],[])).
% 135.48/86.14 tff(14338,plain,
% 135.48/86.14 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~v124(constB101, bitIndex2))),
% 135.48/86.14 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 135.48/86.14 tff(14339,plain,
% 135.48/86.14 (v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14338, 2427, 2424, 767, 13462, 14310])).
% 135.48/86.14 tff(14340,plain,
% 135.48/86.14 (v116(constB101)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14339, 14332, 14328, 14324, 14317])).
% 135.48/86.14 tff(14341,plain,
% 135.48/86.14 (~v84(constB101, bitIndex2)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[13402, 1130, 14340])).
% 135.48/86.14 tff(14342,plain,
% 135.48/86.14 ($false),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[13316, 777, 767, 13301, 13313, 13293, 14341])).
% 135.48/86.14 tff(14343,plain,(v94(constB100) | v84(constB102, bitIndex1) | (~v84(constB102, bitIndex2)) | v84(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.14 tff(14344,plain,
% 135.48/86.14 ($false),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14343, 14293, 14285, 13149, 14277])).
% 135.48/86.14 tff(14345,plain,((~v172(constB103)) | v94(constB100)), inference(lemma,lemma(discharge,[]))).
% 135.48/86.14 tff(14346,plain,
% 135.48/86.14 (~v172(constB103)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14345, 13149])).
% 135.48/86.14 tff(14347,plain,
% 135.48/86.14 (v84(constB102, bitIndex1)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[13792, 13674, 13488])).
% 135.48/86.14 tff(14348,plain,
% 135.48/86.14 ($false),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14276, 777, 823, 14250, 14262, 9314, 13823])).
% 135.48/86.14 tff(14349,plain,(v84(constB103, bitIndex1) | (~v84(constB102, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.48/86.14 tff(14350,plain,
% 135.48/86.14 (v84(constB103, bitIndex1)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14349, 14347])).
% 135.48/86.14 tff(14351,plain,
% 135.48/86.14 (v84(constB102, bitIndex0)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14150, 13674])).
% 135.48/86.14 tff(14352,plain,
% 135.48/86.14 ($false),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14292, 777, 795, 14250, 14262, 14194, 10753])).
% 135.48/86.14 tff(14353,plain,(v84(constB103, bitIndex0) | (~v84(constB102, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.48/86.14 tff(14354,plain,
% 135.48/86.14 (v84(constB103, bitIndex0)),
% 135.48/86.14 inference(unit_resolution,[status(thm)],[14353, 14351])).
% 135.48/86.14 tff(14355,assumption,(v84(constB103, bitIndex1)), introduced(assumption)).
% 135.48/86.14 tff(14356,assumption,(v118(constB103)), introduced(assumption)).
% 135.48/86.14 tff(14357,plain,
% 135.48/86.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB103, bitIndex1)) | (~v118(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB103, bitIndex1)) | (~v118(constB103)))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14358,plain,
% 135.50/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB103, bitIndex1)) | (~v118(constB103)))),
% 135.50/86.14 inference(quant_inst,[status(thm)],[])).
% 135.50/86.14 tff(14359,plain,
% 135.50/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB103, bitIndex1)) | (~v118(constB103))),
% 135.50/86.14 inference(modus_ponens,[status(thm)],[14358, 14357])).
% 135.50/86.14 tff(14360,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14359, 2842, 14355, 14356])).
% 135.50/86.14 tff(14361,plain,((~v118(constB103)) | (~v84(constB103, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14362,plain,
% 135.50/86.14 (~v118(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14361, 14355])).
% 135.50/86.14 tff(14363,plain,
% 135.50/86.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v113(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB103, bitIndex0)) | (~v113(constB103)))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14364,plain,
% 135.50/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v113(constB103)))),
% 135.50/86.14 inference(quant_inst,[status(thm)],[])).
% 135.50/86.14 tff(14365,plain,
% 135.50/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB103, bitIndex0)) | (~v113(constB103))),
% 135.50/86.14 inference(modus_ponens,[status(thm)],[14364, 14363])).
% 135.50/86.14 tff(14366,plain,
% 135.50/86.14 (~v113(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14365, 2764, 10760])).
% 135.50/86.14 tff(14367,plain,
% 135.50/86.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB103, bitIndex0)) | (~v115(constB103)))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14368,plain,
% 135.50/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB103, bitIndex0)) | (~v115(constB103)))),
% 135.50/86.14 inference(quant_inst,[status(thm)],[])).
% 135.50/86.14 tff(14369,plain,
% 135.50/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB103, bitIndex0)) | (~v115(constB103))),
% 135.50/86.14 inference(modus_ponens,[status(thm)],[14368, 14367])).
% 135.50/86.14 tff(14370,plain,
% 135.50/86.14 (~v115(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14369, 3011, 10760])).
% 135.50/86.14 tff(14371,plain,
% 135.50/86.14 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB103, bitIndex1)) | (~v145(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB103, bitIndex1)) | (~v145(constB103)))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14372,plain,
% 135.50/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB103, bitIndex1)) | (~v145(constB103)))),
% 135.50/86.14 inference(quant_inst,[status(thm)],[])).
% 135.50/86.14 tff(14373,plain,
% 135.50/86.14 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB103, bitIndex1)) | (~v145(constB103))),
% 135.50/86.14 inference(modus_ponens,[status(thm)],[14372, 14371])).
% 135.50/86.14 tff(14374,plain,
% 135.50/86.14 (~v145(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14373, 816, 14355])).
% 135.50/86.14 tff(14375,plain,
% 135.50/86.14 (~v124(constB103, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[11489, 12662, 14362, 9324, 14374, 14370, 14366])).
% 135.50/86.14 tff(14376,plain,
% 135.50/86.14 (~v94(constB104)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[12675, 14375, 9313, 6519, 14362])).
% 135.50/86.14 tff(14377,plain,
% 135.50/86.14 (~v104(constB104)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9232, 14376])).
% 135.50/86.14 tff(14378,plain,
% 135.50/86.14 (~v102(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9206, 14377])).
% 135.50/86.14 tff(14379,plain,
% 135.50/86.14 (v84(constB104, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9198, 14378])).
% 135.50/86.14 tff(14380,plain,
% 135.50/86.14 (v84(constB104, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9330, 14376])).
% 135.50/86.14 tff(14381,plain,
% 135.50/86.14 (v84(constB105, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[8940, 14380])).
% 135.50/86.14 tff(14382,plain,
% 135.50/86.14 (v84(constB104, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10776, 14376])).
% 135.50/86.14 tff(14383,plain,
% 135.50/86.14 (v84(constB105, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[8928, 14382])).
% 135.50/86.14 tff(14384,plain,
% 135.50/86.14 (~v119(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10769, 10760])).
% 135.50/86.14 tff(14385,plain,
% 135.50/86.14 (~v119(constB105)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[11101, 14376, 14384])).
% 135.50/86.14 tff(14386,plain,
% 135.50/86.14 (v108(constB105)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[12610, 14385])).
% 135.50/86.14 tff(14387,plain,
% 135.50/86.14 (~v84(constB105, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[11128, 14386, 6519, 14383, 14381])).
% 135.50/86.14 tff(14388,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9254, 14387, 14379])).
% 135.50/86.14 tff(14389,plain,(v145(constB105) | (~v107(constB105)) | (~v84(constB103, bitIndex2)) | v172(constB103) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14390,plain,
% 135.50/86.14 (v145(constB105)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14389, 14354, 9380, 14350, 14346, 14268])).
% 135.50/86.14 tff(14391,plain,
% 135.50/86.14 (~v84(constB104, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[8928, 8904])).
% 135.50/86.14 tff(14392,plain,
% 135.50/86.14 (v94(constB104)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10776, 14391])).
% 135.50/86.14 tff(14393,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14272, 2289, 14355, 14269])).
% 135.50/86.14 tff(14394,plain,((~v172(constB103)) | (~v84(constB103, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14395,plain,
% 135.50/86.14 (~v172(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14394, 14355])).
% 135.50/86.14 tff(14396,plain,
% 135.50/86.14 (v94(constB106)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9745, 8904])).
% 135.50/86.14 tff(14397,plain,
% 135.50/86.14 (v104(constB106)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10220, 14396])).
% 135.50/86.14 tff(14398,plain,
% 135.50/86.14 (v102(constB105)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10228, 14397])).
% 135.50/86.14 tff(14399,plain,
% 135.50/86.14 (v106(constB105)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[11107, 14398])).
% 135.50/86.14 tff(14400,plain,
% 135.50/86.14 (v107(constB105)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10240, 3161, 14399])).
% 135.50/86.14 tff(14401,plain,
% 135.50/86.14 (v145(constB105)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14389, 14400, 14355, 9313, 14395, 10760])).
% 135.50/86.14 tff(14402,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9054, 10785, 10810, 8899, 8898])).
% 135.50/86.14 tff(14403,plain,((~v145(constB105)) | v121(constB103, bitIndex0) | (~v94(constB104))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14404,plain,
% 135.50/86.14 (v121(constB103, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14403, 14401, 14392])).
% 135.50/86.14 tff(14405,plain,
% 135.50/86.14 (v124(constB103, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 14404])).
% 135.50/86.14 tff(14406,plain,
% 135.50/86.14 (~v145(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10840, 2299, 1416, 795, 14405])).
% 135.50/86.14 tff(14407,plain,
% 135.50/86.14 (~v123(constB104, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[8967, 1674, 767, 14392, 14391])).
% 135.50/86.14 tff(14408,plain,
% 135.50/86.14 (~v121(constB103, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[8978, 14407])).
% 135.50/86.14 tff(14409,plain,
% 135.50/86.14 (~v124(constB103, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[8985, 1728, 767, 8945, 14408])).
% 135.50/86.14 tff(14410,plain,
% 135.50/86.14 (~v116(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[8992, 1772, 1769, 767, 14409])).
% 135.50/86.14 tff(14411,plain,
% 135.50/86.14 (v104(constB104)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9098, 14392])).
% 135.50/86.14 tff(14412,plain,
% 135.50/86.14 (v102(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9093, 14411])).
% 135.50/86.14 tff(14413,plain,
% 135.50/86.14 (v106(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10857, 14412])).
% 135.50/86.14 tff(14414,plain,
% 135.50/86.14 (v107(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10861, 3161, 14413])).
% 135.50/86.14 tff(14415,plain,
% 135.50/86.14 (v108(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10865, 3195, 14384, 14414])).
% 135.50/86.14 tff(14416,plain,
% 135.50/86.14 (v109(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10869, 2856, 14362, 14415])).
% 135.50/86.14 tff(14417,plain,
% 135.50/86.14 (v110(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10876, 2871, 14395, 14416])).
% 135.50/86.14 tff(14418,plain,
% 135.50/86.14 (v111(constB103) | v116(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10885, 2932, 14417])).
% 135.50/86.14 tff(14419,plain,
% 135.50/86.14 (v111(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14418, 14410])).
% 135.50/86.14 tff(14420,plain,
% 135.50/86.14 (~v84(constB105, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10783, 816, 14401])).
% 135.50/86.14 tff(14421,plain,
% 135.50/86.14 (~v84(constB104, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[8940, 14420])).
% 135.50/86.14 tff(14422,plain,
% 135.50/86.14 (~v123(constB104, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10788, 14421, 14392])).
% 135.50/86.14 tff(14423,plain,
% 135.50/86.14 (~v121(constB103, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10793, 14422])).
% 135.50/86.14 tff(14424,plain,
% 135.50/86.14 (~v124(constB103, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10798, 14423])).
% 135.50/86.14 tff(14425,plain,
% 135.50/86.14 (~v115(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10993, 14424])).
% 135.50/86.14 tff(14426,plain,
% 135.50/86.14 (v112(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[11009, 2911, 14425, 14419])).
% 135.50/86.14 tff(14427,plain,
% 135.50/86.14 (~v113(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[9003, 14409])).
% 135.50/86.14 tff(14428,plain,
% 135.50/86.14 ((~v112(constB103)) | v145(constB103)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10847, 2894, 14427])).
% 135.50/86.14 tff(14429,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14428, 14426, 14406])).
% 135.50/86.14 tff(14430,plain,(v84(constB105, bitIndex2) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex2)) | (~v84(constB103, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14431,plain,
% 135.50/86.14 (v84(constB105, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14430, 14350, 14354, 14268])).
% 135.50/86.14 tff(14432,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10772, 14431, 14390])).
% 135.50/86.14 tff(14433,plain,(v94(constB100) | (~v107(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14434,plain,
% 135.50/86.14 (v94(constB100)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14433, 12608])).
% 135.50/86.14 tff(14435,plain,
% 135.50/86.14 (v84(constB115, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[12013, 5568, 5770, 6207])).
% 135.50/86.14 tff(14436,plain,
% 135.50/86.14 (~v145(constB115)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[12017, 14435])).
% 135.50/86.14 tff(14437,plain,
% 135.50/86.14 (~v172(constB115)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[12021, 2289, 14435])).
% 135.50/86.14 tff(14438,plain,
% 135.50/86.14 (~v118(constB115)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[7680, 14435])).
% 135.50/86.14 tff(14439,plain,
% 135.50/86.14 (v84(constB116, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[12118, 6519, 5520, 14435])).
% 135.50/86.14 tff(14440,plain,
% 135.50/86.14 (v84(constB115, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[12142, 10751, 14439, 14435])).
% 135.50/86.14 tff(14441,plain,
% 135.50/86.14 (~v94(constB116)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[12329, 14440, 14438, 14437, 14436, 6519, 6207, 5770])).
% 135.50/86.14 tff(14442,plain,
% 135.50/86.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB103)) | v84(constB103, bitIndex1))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB103)) | v84(constB103, bitIndex1))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14443,plain,
% 135.50/86.14 ((v84(constB103, bitIndex1) | (~v119(constB103))) <=> ((~v119(constB103)) | v84(constB103, bitIndex1))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14444,plain,
% 135.50/86.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB103, bitIndex1) | (~v119(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB103)) | v84(constB103, bitIndex1)))),
% 135.50/86.14 inference(monotonicity,[status(thm)],[14443])).
% 135.50/86.14 tff(14445,plain,
% 135.50/86.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB103, bitIndex1) | (~v119(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB103)) | v84(constB103, bitIndex1))),
% 135.50/86.14 inference(transitivity,[status(thm)],[14444, 14442])).
% 135.50/86.14 tff(14446,plain,
% 135.50/86.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB103, bitIndex1) | (~v119(constB103)))),
% 135.50/86.14 inference(quant_inst,[status(thm)],[])).
% 135.50/86.14 tff(14447,plain,
% 135.50/86.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB103)) | v84(constB103, bitIndex1)),
% 135.50/86.14 inference(modus_ponens,[status(thm)],[14446, 14445])).
% 135.50/86.14 tff(14448,plain,
% 135.50/86.14 (v84(constB103, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14447, 9858, 10761])).
% 135.50/86.14 tff(14449,plain,
% 135.50/86.14 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB102, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB102, bitIndex1))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14450,plain,
% 135.50/86.14 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB102, bitIndex1))),
% 135.50/86.14 inference(quant_inst,[status(thm)],[])).
% 135.50/86.14 tff(14451,plain,
% 135.50/86.14 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex1)) | (~v84(constB103, bitIndex1)) | v84(constB102, bitIndex1)),
% 135.50/86.14 inference(modus_ponens,[status(thm)],[14450, 14449])).
% 135.50/86.14 tff(14452,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14451, 805, 823, 14250, 14262, 14355, 13691])).
% 135.50/86.14 tff(14453,plain,((~v84(constB103, bitIndex1)) | v84(constB102, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14454,plain,
% 135.50/86.14 (v84(constB102, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14453, 14448])).
% 135.50/86.14 tff(14455,plain,
% 135.50/86.14 (~v84(constB103, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[10769, 10761])).
% 135.50/86.14 tff(14456,plain,
% 135.50/86.14 (~v84(constB102, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14353, 14455])).
% 135.50/86.14 tff(14457,plain,
% 135.50/86.14 (v94(constB102)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14150, 14456])).
% 135.50/86.14 tff(14458,plain,
% 135.50/86.14 (v123(constB102, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[13990, 1344, 823, 14457, 14454])).
% 135.50/86.14 tff(14459,plain,
% 135.50/86.14 (v121(constB101, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[13995, 1362, 823, 13597, 14458])).
% 135.50/86.14 tff(14460,plain,
% 135.50/86.14 (v124(constB101, bitIndex1)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[13999, 1380, 823, 13653, 14459])).
% 135.50/86.14 tff(14461,plain,
% 135.50/86.14 (~v116(constB101)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[13410, 2167, 2164, 823, 14460])).
% 135.50/86.14 tff(14462,plain,
% 135.50/86.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB103)) | v84(constB103, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB103)) | v84(constB103, bitIndex2))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14463,plain,
% 135.50/86.14 ((v84(constB103, bitIndex2) | (~v119(constB103))) <=> ((~v119(constB103)) | v84(constB103, bitIndex2))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14464,plain,
% 135.50/86.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB103, bitIndex2) | (~v119(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB103)) | v84(constB103, bitIndex2)))),
% 135.50/86.14 inference(monotonicity,[status(thm)],[14463])).
% 135.50/86.14 tff(14465,plain,
% 135.50/86.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB103, bitIndex2) | (~v119(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB103)) | v84(constB103, bitIndex2))),
% 135.50/86.14 inference(transitivity,[status(thm)],[14464, 14462])).
% 135.50/86.14 tff(14466,plain,
% 135.50/86.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB103, bitIndex2) | (~v119(constB103)))),
% 135.50/86.14 inference(quant_inst,[status(thm)],[])).
% 135.50/86.14 tff(14467,plain,
% 135.50/86.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB103)) | v84(constB103, bitIndex2)),
% 135.50/86.14 inference(modus_ponens,[status(thm)],[14466, 14465])).
% 135.50/86.14 tff(14468,plain,
% 135.50/86.14 (v84(constB103, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14467, 7833, 10761])).
% 135.50/86.14 tff(14469,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14284, 805, 767, 14250, 14262, 9313, 13675])).
% 135.50/86.14 tff(14470,plain,((~v84(constB103, bitIndex2)) | v84(constB102, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14471,plain,
% 135.50/86.14 (v84(constB102, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14470, 14468])).
% 135.50/86.14 tff(14472,plain,
% 135.50/86.14 (v123(constB102, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14297, 1344, 767, 14457, 14471])).
% 135.50/86.14 tff(14473,assumption,(~v121(constB101, bitIndex2)), introduced(assumption)).
% 135.50/86.14 tff(14474,assumption,(v123(constB102, bitIndex2)), introduced(assumption)).
% 135.50/86.14 tff(14475,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14302, 1362, 767, 13597, 14474, 14473])).
% 135.50/86.14 tff(14476,plain,((~v123(constB102, bitIndex2)) | v121(constB101, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14477,plain,
% 135.50/86.14 (v121(constB101, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14476, 14472])).
% 135.50/86.14 tff(14478,plain,
% 135.50/86.14 (v124(constB101, bitIndex2)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14309, 1380, 767, 13653, 14477])).
% 135.50/86.14 tff(14479,plain,
% 135.50/86.14 (~v118(constB101)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14323, 2030, 2027, 767, 14478])).
% 135.50/86.14 tff(14480,assumption,(v124(constB101, bitIndex2)), introduced(assumption)).
% 135.50/86.14 tff(14481,plain,
% 135.50/86.14 ($false),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14316, 2030, 2257, 767, 14156, 14480])).
% 135.50/86.14 tff(14482,plain,((~v124(constB101, bitIndex2)) | (~v115(constB101))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.14 tff(14483,plain,
% 135.50/86.14 (~v115(constB101)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14482, 14478])).
% 135.50/86.14 tff(14484,plain,
% 135.50/86.14 (v124(constB99, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[14168, 14483, 13294, 14155])).
% 135.50/86.14 tff(14485,plain,
% 135.50/86.14 (v121(constB99, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[13891, 14484])).
% 135.50/86.14 tff(14486,plain,
% 135.50/86.14 (v123(constB100, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[13876, 14485])).
% 135.50/86.14 tff(14487,plain,
% 135.50/86.14 (v84(constB100, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[13868, 14486])).
% 135.50/86.14 tff(14488,plain,
% 135.50/86.14 (v84(constB101, bitIndex0)),
% 135.50/86.14 inference(unit_resolution,[status(thm)],[13390, 14487])).
% 135.50/86.14 tff(14489,plain,
% 135.50/86.14 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB101)) | (~v124(constB101, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14490,plain,
% 135.50/86.14 (((~v145(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.50/86.14 inference(rewrite,[status(thm)],[])).
% 135.50/86.14 tff(14491,plain,
% 135.50/86.14 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB101)) | (~v124(constB101, bitIndex2))))),
% 135.50/86.14 inference(monotonicity,[status(thm)],[14490])).
% 135.50/86.14 tff(14492,plain,
% 135.50/86.14 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB101)) | (~v124(constB101, bitIndex2)))),
% 135.50/86.15 inference(transitivity,[status(thm)],[14491, 14489])).
% 135.50/86.15 tff(14493,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB101)) | (~less_3(bitIndex2)) | (~v124(constB101, bitIndex2)) | b010(bitIndex2))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14494,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB101)) | (~v124(constB101, bitIndex2))),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14493, 14492])).
% 135.50/86.15 tff(14495,plain,
% 135.50/86.15 (~v145(constB101)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14494, 1419, 1416, 767, 14478])).
% 135.50/86.15 tff(14496,assumption,(~v118(constB101)), introduced(assumption)).
% 135.50/86.15 tff(14497,plain,
% 135.50/86.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)) | v118(constB101) | (~v84(constB101, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)) | v118(constB101) | (~v84(constB101, bitIndex2)))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14498,plain,
% 135.50/86.15 (((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v118(constB101)) <=> (v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)) | v118(constB101) | (~v84(constB101, bitIndex2)))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14499,plain,
% 135.50/86.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v118(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)) | v118(constB101) | (~v84(constB101, bitIndex2))))),
% 135.50/86.15 inference(monotonicity,[status(thm)],[14498])).
% 135.50/86.15 tff(14500,plain,
% 135.50/86.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v118(constB101))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)) | v118(constB101) | (~v84(constB101, bitIndex2)))),
% 135.50/86.15 inference(transitivity,[status(thm)],[14499, 14497])).
% 135.50/86.15 tff(14501,plain,
% 135.50/86.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB101, bitIndex0)) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2)) | v118(constB101))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14502,plain,
% 135.50/86.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)) | v118(constB101) | (~v84(constB101, bitIndex2))),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14501, 14500])).
% 135.50/86.15 tff(14503,plain,
% 135.50/86.15 (v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex2))),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14502, 1018, 14496])).
% 135.50/86.15 tff(14504,plain,
% 135.50/86.15 (~v84(constB101, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14503, 13484, 13678])).
% 135.50/86.15 tff(14505,assumption,(~v145(constB101)), introduced(assumption)).
% 135.50/86.15 tff(14506,plain,
% 135.50/86.15 (v84(constB101, bitIndex2) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0))),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14179, 865, 14505])).
% 135.50/86.15 tff(14507,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14506, 14504, 13484, 13678])).
% 135.50/86.15 tff(14508,plain,(v84(constB101, bitIndex1) | (~v84(constB101, bitIndex0)) | v145(constB101) | v118(constB101)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14509,plain,
% 135.50/86.15 (v84(constB101, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14508, 14495, 14488, 14479])).
% 135.50/86.15 tff(14510,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14230, 1076, 13294, 14488, 14509, 14461])).
% 135.50/86.15 tff(14511,plain,((~v119(constB103)) | v84(constB101, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14512,plain,
% 135.50/86.15 (~v119(constB103)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14511, 13294])).
% 135.50/86.15 tff(14513,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11257, 805, 823, 6567, 6560, 6816, 9897])).
% 135.50/86.15 tff(14514,plain,(v94(constB108) | v84(constB107, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14515,plain,
% 135.50/86.15 (v84(constB107, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14514, 6560])).
% 135.50/86.15 tff(14516,plain,
% 135.50/86.15 (v84(constB106, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9530, 14515])).
% 135.50/86.15 tff(14517,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9869, 1344, 823, 9801, 9719, 10323])).
% 135.50/86.15 tff(14518,plain,((~v84(constB106, bitIndex1)) | (~v94(constB106)) | v123(constB106, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14519,plain,
% 135.50/86.15 (v123(constB106, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14518, 14516, 9801])).
% 135.50/86.15 tff(14520,assumption,(~v121(constB105, bitIndex1)), introduced(assumption)).
% 135.50/86.15 tff(14521,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9873, 1362, 823, 9339, 10319, 14520])).
% 135.50/86.15 tff(14522,plain,((~v123(constB106, bitIndex1)) | v121(constB105, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14523,plain,
% 135.50/86.15 (v121(constB105, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14522, 14519])).
% 135.50/86.15 tff(14524,plain,
% 135.50/86.15 (v94(constB104)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9330, 9019])).
% 135.50/86.15 tff(14525,plain,
% 135.50/86.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB109, bitIndex0)) | (~v172(constB109)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB109, bitIndex0)) | (~v172(constB109)))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14526,plain,
% 135.50/86.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB109, bitIndex0)) | (~v172(constB109)))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14527,plain,
% 135.50/86.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB109, bitIndex0)) | (~v172(constB109))),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14526, 14525])).
% 135.50/86.15 tff(14528,plain,
% 135.50/86.15 (~v172(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14527, 7708, 6784])).
% 135.50/86.15 tff(14529,plain,
% 135.50/86.15 (v145(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11355, 14528, 9019, 6722, 14524])).
% 135.50/86.15 tff(14530,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[6835, 816, 14529, 6824])).
% 135.50/86.15 tff(14531,plain,(v94(constB108) | v84(constB104, bitIndex1) | (~v84(constB108, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14532,plain,
% 135.50/86.15 (v84(constB104, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14531, 6560, 6721])).
% 135.50/86.15 tff(14533,plain,
% 135.50/86.15 (v84(constB105, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[8940, 14532])).
% 135.50/86.15 tff(14534,plain,
% 135.50/86.15 (~v172(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9750, 2289, 14533])).
% 135.50/86.15 tff(14535,plain,
% 135.50/86.15 (~v145(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10783, 816, 14533])).
% 135.50/86.15 tff(14536,plain,
% 135.50/86.15 (v84(constB107, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11329, 805, 767, 6567, 6560, 6722])).
% 135.50/86.15 tff(14537,plain,
% 135.50/86.15 (v84(constB106, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9547, 14536])).
% 135.50/86.15 tff(14538,plain,
% 135.50/86.15 (v123(constB106, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9806, 14537, 9801])).
% 135.50/86.15 tff(14539,plain,
% 135.50/86.15 (v121(constB105, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9814, 14538])).
% 135.50/86.15 tff(14540,plain,
% 135.50/86.15 (v124(constB105, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9821, 1380, 767, 9782, 14539])).
% 135.50/86.15 tff(14541,plain,
% 135.50/86.15 (v84(constB106, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10144, 6703])).
% 135.50/86.15 tff(14542,plain,
% 135.50/86.15 (v84(constB106, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10282, 14541, 9801, 9457])).
% 135.50/86.15 tff(14543,plain,
% 135.50/86.15 (v123(constB106, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9869, 1344, 823, 9801, 14542])).
% 135.50/86.15 tff(14544,plain,
% 135.50/86.15 (v121(constB105, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9873, 1362, 823, 9339, 14543])).
% 135.50/86.15 tff(14545,plain,
% 135.50/86.15 (v124(constB105, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9880, 1380, 823, 9782, 14544])).
% 135.50/86.15 tff(14546,plain,
% 135.50/86.15 (~v116(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9887, 2167, 2164, 823, 14545])).
% 135.50/86.15 tff(14547,plain,
% 135.50/86.15 (v115(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11352, 14546, 9468, 14540, 6519])).
% 135.50/86.15 tff(14548,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11385, 2030, 2257, 767, 14547, 14540])).
% 135.50/86.15 tff(14549,plain,(v94(constB108) | v172(constB105) | v145(constB105) | (~v94(constB106)) | (~v84(constB108, bitIndex2)) | v119(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14550,plain,
% 135.50/86.15 (v119(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14549, 14535, 9801, 6560, 6721, 14534])).
% 135.50/86.15 tff(14551,plain,
% 135.50/86.15 (v84(constB105, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10289, 7833, 14550])).
% 135.50/86.15 tff(14552,plain,
% 135.50/86.15 (~v116(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10309, 1130, 14551])).
% 135.50/86.15 tff(14553,plain,
% 135.50/86.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v115(constB105)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v115(constB105)))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14554,plain,
% 135.50/86.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB105, bitIndex2)) | (~v115(constB105)))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14555,plain,
% 135.50/86.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB105, bitIndex2)) | (~v115(constB105))),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 135.50/86.15 tff(14556,plain,
% 135.50/86.15 (~v115(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14555, 2665, 14551])).
% 135.50/86.15 tff(14557,assumption,(v124(constB105, bitIndex1)), introduced(assumption)).
% 135.50/86.15 tff(14558,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10470, 2601, 2424, 823, 6519, 9334, 9468, 9665, 9451, 14557, 9835])).
% 135.50/86.15 tff(14559,plain,((~v124(constB105, bitIndex1)) | v145(constB105) | v172(constB105) | v115(constB105) | v116(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14560,plain,
% 135.50/86.15 (~v124(constB105, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14559, 14556, 14534, 14535, 14552])).
% 135.50/86.15 tff(14561,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9880, 1380, 823, 9782, 14560, 14523])).
% 135.50/86.15 tff(14562,plain,(v94(constB108) | (~v94(constB106))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14563,plain,
% 135.50/86.15 (~v94(constB106)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14562, 6560])).
% 135.50/86.15 tff(14564,plain,
% 135.50/86.15 (v94(constB104)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9311, 9275])).
% 135.50/86.15 tff(14565,plain,
% 135.50/86.15 (v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0))),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9308, 865, 11445])).
% 135.50/86.15 tff(14566,plain,
% 135.50/86.15 (~v84(constB103, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14565, 9314, 9275])).
% 135.50/86.15 tff(14567,plain,
% 135.50/86.15 (~v84(constB102, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14353, 14566])).
% 135.50/86.15 tff(14568,plain,
% 135.50/86.15 (~v84(constB102, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14349, 9314])).
% 135.50/86.15 tff(14569,plain,
% 135.50/86.15 (v94(constB102)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[13821, 14567, 14568])).
% 135.50/86.15 tff(14570,plain,
% 135.50/86.15 (~v123(constB102, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14011, 14569, 14567])).
% 135.50/86.15 tff(14571,plain,
% 135.50/86.15 (~v121(constB101, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14015, 1708, 795, 13597, 14570])).
% 135.50/86.15 tff(14572,plain,
% 135.50/86.15 (~v124(constB101, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14022, 1728, 795, 13653, 14571])).
% 135.50/86.15 tff(14573,plain,
% 135.50/86.15 (~v84(constB102, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14267, 9275])).
% 135.50/86.15 tff(14574,plain,
% 135.50/86.15 ((~v94(constB102)) | (~v123(constB102, bitIndex2))),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14044, 1674, 767, 14573])).
% 135.50/86.15 tff(14575,plain,
% 135.50/86.15 (~v123(constB102, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14574, 14569])).
% 135.50/86.15 tff(14576,plain,
% 135.50/86.15 (~v121(constB101, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14053, 14575])).
% 135.50/86.15 tff(14577,plain,
% 135.50/86.15 (~v124(constB101, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14060, 1728, 767, 13653, 14576])).
% 135.50/86.15 tff(14578,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14579,plain,
% 135.50/86.15 (((~v116(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v116(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14580,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2)))),
% 135.50/86.15 inference(monotonicity,[status(thm)],[14579])).
% 135.50/86.15 tff(14581,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2))),
% 135.50/86.15 inference(transitivity,[status(thm)],[14580, 14578])).
% 135.50/86.15 tff(14582,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b100(bitIndex2)))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14583,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2)),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14582, 14581])).
% 135.50/86.15 tff(14584,plain,
% 135.50/86.15 (~v116(constB101)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14583, 1772, 1769, 767, 14577])).
% 135.50/86.15 tff(14585,assumption,(v123(constB102, bitIndex1)), introduced(assumption)).
% 135.50/86.15 tff(14586,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[13760, 1674, 823, 14003, 13691, 14585])).
% 135.50/86.15 tff(14587,plain,(v84(constB102, bitIndex1) | (~v94(constB102)) | (~v123(constB102, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14588,plain,
% 135.50/86.15 (~v123(constB102, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14587, 14569, 14568])).
% 135.50/86.15 tff(14589,assumption,(~v123(constB102, bitIndex1)), introduced(assumption)).
% 135.50/86.15 tff(14590,assumption,(v121(constB101, bitIndex1)), introduced(assumption)).
% 135.50/86.15 tff(14591,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[13765, 1708, 823, 13597, 14590, 14589])).
% 135.50/86.15 tff(14592,plain,(v123(constB102, bitIndex1) | (~v121(constB101, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14593,plain,
% 135.50/86.15 (~v121(constB101, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14592, 14588])).
% 135.50/86.15 tff(14594,plain,
% 135.50/86.15 (~v124(constB101, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[13772, 1728, 823, 13653, 14593])).
% 135.50/86.15 tff(14595,plain,
% 135.50/86.15 (~v118(constB101)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[13544, 3033, 1145, 823, 14594])).
% 135.50/86.15 tff(14596,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14597,plain,
% 135.50/86.15 (((~v113(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v113(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14598,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2)))),
% 135.50/86.15 inference(monotonicity,[status(thm)],[14597])).
% 135.50/86.15 tff(14599,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2))),
% 135.50/86.15 inference(transitivity,[status(thm)],[14598, 14596])).
% 135.50/86.15 tff(14600,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB101)) | (~less_3(bitIndex2)) | v124(constB101, bitIndex2) | (~b100(bitIndex2)))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14601,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB101)) | (~b100(bitIndex2)) | v124(constB101, bitIndex2)),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 135.50/86.15 tff(14602,plain,
% 135.50/86.15 (~v113(constB101)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14601, 1772, 1838, 767, 14577])).
% 135.50/86.15 tff(14603,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14604,plain,
% 135.50/86.15 (((~v115(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14605,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1)))),
% 135.50/86.15 inference(monotonicity,[status(thm)],[14604])).
% 135.50/86.15 tff(14606,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1))),
% 135.50/86.15 inference(transitivity,[status(thm)],[14605, 14603])).
% 135.50/86.15 tff(14607,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB101)) | (~less_3(bitIndex1)) | v124(constB101, bitIndex1) | (~b011(bitIndex1)))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14608,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB101)) | (~b011(bitIndex1)) | v124(constB101, bitIndex1)),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 135.50/86.15 tff(14609,plain,
% 135.50/86.15 (~v115(constB101)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14608, 3033, 1193, 823, 14594])).
% 135.50/86.15 tff(14610,plain,
% 135.50/86.15 (~v172(constB101)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[13781, 14568])).
% 135.50/86.15 tff(14611,plain,
% 135.50/86.15 (~v145(constB101)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[13503, 14594])).
% 135.50/86.15 tff(14612,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~b001(bitIndex0)) | v124(constB101, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~b001(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14613,plain,
% 135.50/86.15 ((v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~b001(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14614,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~b001(bitIndex0)) | v124(constB101, bitIndex0)))),
% 135.50/86.15 inference(monotonicity,[status(thm)],[14613])).
% 135.50/86.15 tff(14615,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~b001(bitIndex0)) | v124(constB101, bitIndex0))),
% 135.50/86.15 inference(transitivity,[status(thm)],[14614, 14612])).
% 135.50/86.15 tff(14616,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB101) | v145(constB101) | v115(constB101) | v116(constB101) | v172(constB101) | v118(constB101) | (~less_3(bitIndex0)) | v124(constB101, bitIndex0) | (~b001(bitIndex0)))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14617,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB101) | v118(constB101) | v172(constB101) | v116(constB101) | v115(constB101) | v113(constB101) | (~b001(bitIndex0)) | v124(constB101, bitIndex0)),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 135.50/86.15 tff(14618,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14617, 1213, 1210, 795, 14611, 14610, 14609, 14602, 14595, 14584, 14572])).
% 135.50/86.15 tff(14619,plain,(v84(constB103, bitIndex1) | v84(constB103, bitIndex2) | v145(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14620,plain,
% 135.50/86.15 (v84(constB103, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14619, 9275, 12637])).
% 135.50/86.15 tff(14621,plain,
% 135.50/86.15 ((~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | v115(constB103)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9190, 1095, 10753])).
% 135.50/86.15 tff(14622,plain,
% 135.50/86.15 (v115(constB103)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14621, 14620, 9275])).
% 135.50/86.15 tff(14623,plain,
% 135.50/86.15 (v84(constB108, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11005, 14622, 14564])).
% 135.50/86.15 tff(14624,plain,
% 135.50/86.15 (v84(constB109, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[6746, 14623])).
% 135.50/86.15 tff(14625,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14280, 5263, 9275, 14269])).
% 135.50/86.15 tff(14626,plain,((~v172(constB103)) | v84(constB103, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14627,plain,
% 135.50/86.15 (~v172(constB103)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14626, 9275])).
% 135.50/86.15 tff(14628,plain,
% 135.50/86.15 (v124(constB103, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10993, 14622])).
% 135.50/86.15 tff(14629,plain,
% 135.50/86.15 (v121(constB103, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10798, 14628])).
% 135.50/86.15 tff(14630,plain,
% 135.50/86.15 (v123(constB104, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10793, 14629])).
% 135.50/86.15 tff(14631,plain,
% 135.50/86.15 (v84(constB104, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10788, 14630, 14564])).
% 135.50/86.15 tff(14632,plain,
% 135.50/86.15 (v84(constB105, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[8940, 14631])).
% 135.50/86.15 tff(14633,plain,
% 135.50/86.15 (~v172(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9750, 2289, 14632])).
% 135.50/86.15 tff(14634,plain,
% 135.50/86.15 (~v124(constB103, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10890, 14622])).
% 135.50/86.15 tff(14635,plain,
% 135.50/86.15 (~v121(constB103, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10893, 14634])).
% 135.50/86.15 tff(14636,plain,
% 135.50/86.15 (~v123(constB104, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10898, 14635])).
% 135.50/86.15 tff(14637,plain,
% 135.50/86.15 (~v84(constB104, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10901, 14636, 14564])).
% 135.50/86.15 tff(14638,plain,
% 135.50/86.15 (~v84(constB105, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9566, 14637])).
% 135.50/86.15 tff(14639,plain,
% 135.50/86.15 (v94(constB106)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9745, 14638])).
% 135.50/86.15 tff(14640,plain,
% 135.50/86.15 (~v145(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10783, 816, 14632])).
% 135.50/86.15 tff(14641,plain,
% 135.50/86.15 (~v119(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10289, 7833, 14638])).
% 135.50/86.15 tff(14642,plain,
% 135.50/86.15 (v94(constB108)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14549, 14641, 14640, 14639, 14623, 14633])).
% 135.50/86.15 tff(14643,plain,
% 135.50/86.15 (~v113(constB103)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9003, 14634])).
% 135.50/86.15 tff(14644,plain,
% 135.50/86.15 (v121(constB107, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10510, 1362, 767, 6567, 11015])).
% 135.50/86.15 tff(14645,plain,
% 135.50/86.15 (v124(constB107, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10517, 1380, 767, 6606, 14644])).
% 135.50/86.15 tff(14646,plain,
% 135.50/86.15 (~v124(constB107, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10564, 14645])).
% 135.50/86.15 tff(14647,plain,
% 135.50/86.15 (v84(constB106, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11519, 14646, 11445, 9324, 9315, 8898, 11398])).
% 135.50/86.15 tff(14648,plain,
% 135.50/86.15 (~v145(constB107)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10533, 1419, 1416, 767, 14645])).
% 135.50/86.15 tff(14649,plain,
% 135.50/86.15 (~v113(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10589, 1119, 11049])).
% 135.50/86.15 tff(14650,plain,
% 135.50/86.15 (~v115(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10585, 2665, 11049])).
% 135.50/86.15 tff(14651,plain,
% 135.50/86.15 (~v121(constB107, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10116, 14646])).
% 135.50/86.15 tff(14652,plain,
% 135.50/86.15 (~v123(constB108, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10110, 14651])).
% 135.50/86.15 tff(14653,plain,
% 135.50/86.15 (~v84(constB108, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10104, 14652, 6505])).
% 135.50/86.15 tff(14654,plain,
% 135.50/86.15 (~v84(constB109, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10098, 14653])).
% 135.50/86.15 tff(14655,plain,
% 135.50/86.15 (v94(constB110) | v84(constB109, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[12765, 805, 823, 6752, 6987])).
% 135.50/86.15 tff(14656,plain,
% 135.50/86.15 (v84(constB109, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14655, 6749])).
% 135.50/86.15 tff(14657,plain,
% 135.50/86.15 (v119(constB109) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1))),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[8801, 1910, 6748])).
% 135.50/86.15 tff(14658,plain,
% 135.50/86.15 (v119(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14657, 14656, 6778])).
% 135.50/86.15 tff(14659,plain,
% 135.50/86.15 (v107(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[8793, 1927, 14658])).
% 135.50/86.15 tff(14660,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[8735, 8728, 14659])).
% 135.50/86.15 tff(14661,plain,(v94(constB110) | v84(constB109, bitIndex0) | (~v84(constB109, bitIndex2)) | (~v84(constB110, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14662,plain,
% 135.50/86.15 (v94(constB110)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14661, 14654, 6987, 11049])).
% 135.50/86.15 tff(14663,plain,
% 135.50/86.15 (v123(constB110, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[12348, 14662])).
% 135.50/86.15 tff(14664,plain,
% 135.50/86.15 (v121(constB109, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[12354, 14663])).
% 135.50/86.15 tff(14665,plain,
% 135.50/86.15 (v124(constB109, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[12360, 14664])).
% 135.50/86.15 tff(14666,plain,
% 135.50/86.15 (~v116(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[6892, 1130, 11049])).
% 135.50/86.15 tff(14667,plain,
% 135.50/86.15 (~v118(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10581, 2642, 14654])).
% 135.50/86.15 tff(14668,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex1)))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14669,plain,
% 135.50/86.15 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex1)))),
% 135.50/86.15 inference(rewrite,[status(thm)],[])).
% 135.50/86.15 tff(14670,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex1))))),
% 135.50/86.15 inference(monotonicity,[status(thm)],[14669])).
% 135.50/86.15 tff(14671,plain,
% 135.50/86.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex1)))),
% 135.50/86.15 inference(transitivity,[status(thm)],[14670, 14668])).
% 135.50/86.15 tff(14672,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex1)) | (~v124(constB109, bitIndex1)) | b001(bitIndex1))),
% 135.50/86.15 inference(quant_inst,[status(thm)],[])).
% 135.50/86.15 tff(14673,plain,
% 135.50/86.15 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB109) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | (~v124(constB109, bitIndex1))),
% 135.50/86.15 inference(modus_ponens,[status(thm)],[14672, 14671])).
% 135.50/86.15 tff(14674,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14673, 2601, 2424, 823, 8770, 8779, 10598, 10601, 8804, 10599, 10478])).
% 135.50/86.15 tff(14675,plain,((~v124(constB109, bitIndex1)) | v145(constB109) | v113(constB109) | v172(constB109) | v118(constB109) | v115(constB109) | v116(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14676,plain,
% 135.50/86.15 (v172(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14675, 14667, 14666, 14665, 14650, 8770, 14649])).
% 135.50/86.15 tff(14677,plain,
% 135.50/86.15 (~v84(constB109, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[6880, 2289, 14676])).
% 135.50/86.15 tff(14678,plain,
% 135.50/86.15 (~v84(constB108, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[6823, 14677])).
% 135.50/86.15 tff(14679,plain,
% 135.50/86.15 (~v123(constB108, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10024, 14678, 6505])).
% 135.50/86.15 tff(14680,plain,
% 135.50/86.15 (~v121(constB107, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10032, 14679])).
% 135.50/86.15 tff(14681,plain,
% 135.50/86.15 (~v124(constB107, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10043, 14680])).
% 135.50/86.15 tff(14682,plain,
% 135.50/86.15 (~v172(constB107)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10063, 14681])).
% 135.50/86.15 tff(14683,plain,
% 135.50/86.15 (v84(constB106, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11225, 14682, 14646, 14648])).
% 135.50/86.15 tff(14684,plain,
% 135.50/86.15 (v84(constB106, bitIndex1)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10282, 14683, 9801, 9457])).
% 135.50/86.15 tff(14685,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11440, 14684, 14683, 9315, 8898, 14646, 11398, 14647])).
% 135.50/86.15 tff(14686,plain,(v145(constB109) | v118(constB103) | (~v94(constB104)) | v113(constB103) | (~v94(constB106)) | v119(constB105) | (~v94(constB108)) | (~v84(constB110, bitIndex1)) | v145(constB103) | v172(constB103) | (~v84(constB108, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14687,plain,
% 135.50/86.15 (v145(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14686, 14564, 12632, 14643, 14639, 14641, 14642, 6987, 12637, 14627, 14623])).
% 135.50/86.15 tff(14688,plain,
% 135.50/86.15 ($false),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10596, 725, 14687, 14624])).
% 135.50/86.15 tff(14689,plain,(v84(constB103, bitIndex2) | (~v84(constB110, bitIndex1)) | v84(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.15 tff(14690,plain,
% 135.50/86.15 (v84(constB103, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14689, 10753, 6987])).
% 135.50/86.15 tff(14691,plain,
% 135.50/86.15 (~v84(constB104, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[12679, 14535, 9313, 10753])).
% 135.50/86.15 tff(14692,plain,
% 135.50/86.15 (~v84(constB105, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[12704, 14691])).
% 135.50/86.15 tff(14693,plain,
% 135.50/86.15 (~v116(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[12708, 10948, 14692])).
% 135.50/86.15 tff(14694,plain,
% 135.50/86.15 (~v107(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[8735, 6899])).
% 135.50/86.15 tff(14695,plain,
% 135.50/86.15 (~v145(constB109)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[6835, 816, 6824])).
% 135.50/86.15 tff(14696,plain,
% 135.50/86.15 (v84(constB107, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11317, 14695, 14694])).
% 135.50/86.15 tff(14697,plain,
% 135.50/86.15 (v84(constB106, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10144, 14696])).
% 135.50/86.15 tff(14698,plain,
% 135.50/86.15 (v94(constB106) | v84(constB105, bitIndex0)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9698, 805, 795, 9339, 14697])).
% 135.50/86.15 tff(14699,plain,
% 135.50/86.15 (v94(constB106)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14698, 14692])).
% 135.50/86.15 tff(14700,plain,
% 135.50/86.15 (v119(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14549, 14699, 6560, 14535, 6721, 14534])).
% 135.50/86.15 tff(14701,plain,
% 135.50/86.15 (v84(constB105, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[10289, 7833, 14700])).
% 135.50/86.15 tff(14702,plain,
% 135.50/86.15 (~v115(constB105)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[14555, 2665, 14701])).
% 135.50/86.15 tff(14703,plain,
% 135.50/86.15 (v84(constB107, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[11329, 805, 767, 6567, 6560, 6721])).
% 135.50/86.15 tff(14704,plain,
% 135.50/86.15 (v84(constB106, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9547, 14703])).
% 135.50/86.15 tff(14705,plain,
% 135.50/86.15 (v123(constB106, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9806, 14699, 14704])).
% 135.50/86.15 tff(14706,plain,
% 135.50/86.15 (v121(constB105, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9814, 14705])).
% 135.50/86.15 tff(14707,plain,
% 135.50/86.15 (v124(constB105, bitIndex2)),
% 135.50/86.15 inference(unit_resolution,[status(thm)],[9821, 1380, 767, 9782, 14706])).
% 135.50/86.15 tff(14708,plain,
% 135.50/86.15 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11352, 14707, 14702, 14534, 14693, 14535])).
% 135.50/86.16 tff(14709,plain,(v94(constB108) | (~v84(constB103, bitIndex2)) | v84(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14710,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14709, 14690, 10753, 6560])).
% 135.50/86.16 tff(14711,plain,(v84(constB103, bitIndex0) | v94(constB108) | (~v84(constB110, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14712,plain,
% 135.50/86.16 (v84(constB103, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14711, 6560, 6986])).
% 135.50/86.16 tff(14713,plain,
% 135.50/86.16 (v84(constB104, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14531, 6560, 6722])).
% 135.50/86.16 tff(14714,plain,
% 135.50/86.16 (v84(constB105, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[8940, 14713])).
% 135.50/86.16 tff(14715,plain,
% 135.50/86.16 (~v172(constB105)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9750, 2289, 14714])).
% 135.50/86.16 tff(14716,plain,
% 135.50/86.16 (~v145(constB105)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10783, 816, 14714])).
% 135.50/86.16 tff(14717,plain,
% 135.50/86.16 ((~v94(constB104)) | v123(constB104, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 14713])).
% 135.50/86.16 tff(14718,plain,
% 135.50/86.16 (v123(constB104, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14717, 14564])).
% 135.50/86.16 tff(14719,plain,
% 135.50/86.16 (v121(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11422, 14718])).
% 135.50/86.16 tff(14720,plain,
% 135.50/86.16 (v124(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 14719])).
% 135.50/86.16 tff(14721,plain,
% 135.50/86.16 (~v116(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11484, 2167, 2164, 823, 14720])).
% 135.50/86.16 tff(14722,plain,
% 135.50/86.16 (~v84(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9294, 1076, 9275, 10760, 14721])).
% 135.50/86.16 tff(14723,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB103, bitIndex1) | (~v115(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB103, bitIndex1) | (~v115(constB103)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14724,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB103, bitIndex1) | (~v115(constB103)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14725,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB103, bitIndex1) | (~v115(constB103))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14724, 14723])).
% 135.50/86.16 tff(14726,plain,
% 135.50/86.16 (~v115(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14725, 11343, 14722])).
% 135.50/86.16 tff(14727,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB103, bitIndex2) | (~v118(constB103)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB103, bitIndex2) | (~v118(constB103)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14728,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB103, bitIndex2) | (~v118(constB103)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14729,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB103, bitIndex2) | (~v118(constB103))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14728, 14727])).
% 135.50/86.16 tff(14730,plain,
% 135.50/86.16 (~v118(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14729, 5252, 9275])).
% 135.50/86.16 tff(14731,plain,
% 135.50/86.16 (v123(constB104, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 8898, 11097])).
% 135.50/86.16 tff(14732,plain,
% 135.50/86.16 (v121(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11422, 14731])).
% 135.50/86.16 tff(14733,plain,
% 135.50/86.16 (v124(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 14732])).
% 135.50/86.16 tff(14734,plain,
% 135.50/86.16 (~v116(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11484, 2167, 2164, 823, 14733])).
% 135.50/86.16 tff(14735,plain,
% 135.50/86.16 (v84(constB104, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9566, 11084])).
% 135.50/86.16 tff(14736,plain,
% 135.50/86.16 (v123(constB104, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10901, 14735, 8898])).
% 135.50/86.16 tff(14737,plain,
% 135.50/86.16 (v121(constB103, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10898, 14736])).
% 135.50/86.16 tff(14738,plain,
% 135.50/86.16 (v124(constB103, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10893, 14737])).
% 135.50/86.16 tff(14739,plain,
% 135.50/86.16 (~v145(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9648, 1419, 1416, 767, 14738])).
% 135.50/86.16 tff(14740,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB103)) | (~v124(constB103, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB103)) | (~v124(constB103, bitIndex1)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14741,plain,
% 135.50/86.16 (((~v113(constB103)) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB103)) | (~v124(constB103, bitIndex1)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14742,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB103)) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB103)) | (~v124(constB103, bitIndex1))))),
% 135.50/86.16 inference(monotonicity,[status(thm)],[14741])).
% 135.50/86.16 tff(14743,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB103)) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB103)) | (~v124(constB103, bitIndex1)))),
% 135.50/86.16 inference(transitivity,[status(thm)],[14742, 14740])).
% 135.50/86.16 tff(14744,plain,
% 135.50/86.16 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB103)) | (~less_3(bitIndex1)) | (~v124(constB103, bitIndex1)) | b100(bitIndex1))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14745,plain,
% 135.50/86.16 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB103)) | (~v124(constB103, bitIndex1))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 135.50/86.16 tff(14746,plain,
% 135.50/86.16 (~v113(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14745, 2167, 2186, 823, 14733])).
% 135.50/86.16 tff(14747,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11489, 14746, 14739, 11486, 9324, 9315, 14733, 14734])).
% 135.50/86.16 tff(14748,plain,((~v119(constB105)) | v115(constB103) | v172(constB103) | v118(constB103) | (~v94(constB104))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14749,plain,
% 135.50/86.16 (~v119(constB105)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14748, 14730, 14627, 14726, 14564])).
% 135.50/86.16 tff(14750,plain,
% 135.50/86.16 (~v94(constB106)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14549, 14749, 6560, 14716, 6722, 14715])).
% 135.50/86.16 tff(14751,plain,
% 135.50/86.16 (v84(constB105, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9699, 14750])).
% 135.50/86.16 tff(14752,plain,
% 135.50/86.16 (v84(constB104, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[12704, 14751])).
% 135.50/86.16 tff(14753,plain,
% 135.50/86.16 (v123(constB104, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9606, 1344, 795, 14564, 14752])).
% 135.50/86.16 tff(14754,plain,
% 135.50/86.16 (v121(constB103, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9610, 1362, 795, 8973, 14753])).
% 135.50/86.16 tff(14755,plain,
% 135.50/86.16 (v124(constB103, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 14754])).
% 135.50/86.16 tff(14756,plain,
% 135.50/86.16 (v145(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14619, 14722, 9275])).
% 135.50/86.16 tff(14757,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10840, 2299, 1416, 795, 14756, 14755])).
% 135.50/86.16 tff(14758,plain,(v84(constB103, bitIndex2) | (~v84(constB106, bitIndex0)) | v94(constB108) | (~v84(constB108, bitIndex2)) | (~v84(constB103, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14759,plain,
% 135.50/86.16 (~v84(constB106, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14758, 6560, 9275, 14712, 6721])).
% 135.50/86.16 tff(14760,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9507, 14759, 14563])).
% 135.50/86.16 tff(14761,plain,(v94(constB108) | v84(constB103, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14762,plain,
% 135.50/86.16 (v84(constB103, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14761, 6560])).
% 135.50/86.16 tff(14763,plain,
% 135.50/86.16 (v84(constB102, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14470, 14762])).
% 135.50/86.16 tff(14764,plain,
% 135.50/86.16 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB102, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB102, bitIndex0))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14765,plain,
% 135.50/86.16 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB102, bitIndex0))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14766,plain,
% 135.50/86.16 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB102, constB103)) | v94(constB103) | (~less_3(bitIndex0)) | (~v84(constB103, bitIndex0)) | v84(constB102, bitIndex0)),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14765, 14764])).
% 135.50/86.16 tff(14767,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14766, 805, 795, 14250, 14262, 13677, 10760])).
% 135.50/86.16 tff(14768,plain,((~v84(constB103, bitIndex0)) | v84(constB102, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14769,plain,
% 135.50/86.16 (v84(constB102, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14768, 14712])).
% 135.50/86.16 tff(14770,plain,
% 135.50/86.16 (v84(constB105, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9745, 14563])).
% 135.50/86.16 tff(14771,plain,
% 135.50/86.16 (v84(constB104, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9566, 14770])).
% 135.50/86.16 tff(14772,plain,
% 135.50/86.16 (~v172(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14288, 7708, 14712])).
% 135.50/86.16 tff(14773,plain,
% 135.50/86.16 (v118(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9327, 9314, 9324, 9313])).
% 135.50/86.16 tff(14774,plain,
% 135.50/86.16 (v94(constB104) | v84(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9174, 805, 823, 8973, 8934])).
% 135.50/86.16 tff(14775,plain,
% 135.50/86.16 (v94(constB104)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14774, 9314])).
% 135.50/86.16 tff(14776,plain,
% 135.50/86.16 (v123(constB104, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10901, 14775, 8905])).
% 135.50/86.16 tff(14777,plain,
% 135.50/86.16 (v121(constB103, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10898, 14776])).
% 135.50/86.16 tff(14778,plain,
% 135.50/86.16 (v124(constB103, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10893, 14777])).
% 135.50/86.16 tff(14779,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[9631, 2030, 2027, 767, 14778, 14773])).
% 135.50/86.16 tff(14780,plain,(v84(constB103, bitIndex1) | (~v84(constB104, bitIndex2)) | (~v84(constB104, bitIndex1)) | v172(constB103) | (~v84(constB103, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14781,plain,
% 135.50/86.16 (v84(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14780, 14772, 14762, 14532, 14771])).
% 135.50/86.16 tff(14782,plain,
% 135.50/86.16 (v84(constB102, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14453, 14781])).
% 135.50/86.16 tff(14783,plain,
% 135.50/86.16 (v123(constB102, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14198, 14003])).
% 135.50/86.16 tff(14784,plain,
% 135.50/86.16 (v121(constB101, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14202, 1362, 795, 13597, 14783])).
% 135.50/86.16 tff(14785,plain,
% 135.50/86.16 (v124(constB101, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14206, 1380, 795, 13653, 14784])).
% 135.50/86.16 tff(14786,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB101)) | (~v124(constB101, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14787,plain,
% 135.50/86.16 (((~v116(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14788,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB101)) | (~v124(constB101, bitIndex0))))),
% 135.50/86.16 inference(monotonicity,[status(thm)],[14787])).
% 135.50/86.16 tff(14789,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.50/86.16 inference(transitivity,[status(thm)],[14788, 14786])).
% 135.50/86.16 tff(14790,plain,
% 135.50/86.16 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b100(bitIndex0))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14791,plain,
% 135.50/86.16 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB101)) | (~v124(constB101, bitIndex0))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14790, 14789])).
% 135.50/86.16 tff(14792,plain,
% 135.50/86.16 (~v116(constB101)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14791, 2386, 2164, 795, 14785])).
% 135.50/86.16 tff(14793,plain,
% 135.50/86.16 (v123(constB102, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13991, 14003])).
% 135.50/86.16 tff(14794,plain,
% 135.50/86.16 (v121(constB101, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13995, 1362, 823, 13597, 14793])).
% 135.50/86.16 tff(14795,plain,
% 135.50/86.16 (v124(constB101, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13999, 1380, 823, 13653, 14794])).
% 135.50/86.16 tff(14796,plain,
% 135.50/86.16 (v123(constB102, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14298, 14003])).
% 135.50/86.16 tff(14797,plain,
% 135.50/86.16 (v121(constB101, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14302, 1362, 767, 13597, 14796])).
% 135.50/86.16 tff(14798,plain,
% 135.50/86.16 (v124(constB101, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14309, 1380, 767, 13653, 14797])).
% 135.50/86.16 tff(14799,plain,
% 135.50/86.16 (~v118(constB101)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14323, 2030, 2027, 767, 14798])).
% 135.50/86.16 tff(14800,plain,
% 135.50/86.16 (~v113(constB101)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13470, 14795])).
% 135.50/86.16 tff(14801,plain,
% 135.50/86.16 (~v115(constB101)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14316, 2030, 2257, 767, 14798])).
% 135.50/86.16 tff(14802,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB101)) | (~v124(constB101, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14803,plain,
% 135.50/86.16 (((~v172(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14804,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB101)) | (~v124(constB101, bitIndex0))))),
% 135.50/86.16 inference(monotonicity,[status(thm)],[14803])).
% 135.50/86.16 tff(14805,plain,
% 135.50/86.16 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB101)) | (~v124(constB101, bitIndex0)))),
% 135.50/86.16 inference(transitivity,[status(thm)],[14804, 14802])).
% 135.50/86.16 tff(14806,plain,
% 135.50/86.16 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB101)) | (~less_3(bitIndex0)) | (~v124(constB101, bitIndex0)) | b110(bitIndex0))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14807,plain,
% 135.50/86.16 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB101)) | (~v124(constB101, bitIndex0))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 135.50/86.16 tff(14808,plain,
% 135.50/86.16 (~v172(constB101)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14807, 1997, 1994, 795, 14785])).
% 135.50/86.16 tff(14809,plain,
% 135.50/86.16 (~v145(constB101)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14494, 1419, 1416, 767, 14798])).
% 135.50/86.16 tff(14810,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13478, 2601, 2424, 823, 14809, 14808, 14801, 14800, 14799, 14795, 14792])).
% 135.50/86.16 tff(14811,plain,((~v94(constB102)) | (~v84(constB102, bitIndex1)) | (~v84(constB102, bitIndex0)) | (~v84(constB102, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14812,plain,
% 135.50/86.16 (~v94(constB102)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14811, 14782, 14763, 14769])).
% 135.50/86.16 tff(14813,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13838, 805, 767, 13597, 14812, 13294, 14763])).
% 135.50/86.16 tff(14814,plain,(v94(constB108) | v84(constB101, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14815,plain,
% 135.50/86.16 (v94(constB108)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14814, 13294])).
% 135.50/86.16 tff(14816,plain,
% 135.50/86.16 (~v145(constB105)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11522, 14815, 14512])).
% 135.50/86.16 tff(14817,plain,
% 135.50/86.16 (v84(constB109, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[12598, 7774, 14815, 14816])).
% 135.50/86.16 tff(14818,plain,
% 135.50/86.16 (v104(constB108)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[8875, 14815])).
% 135.50/86.16 tff(14819,plain,
% 135.50/86.16 (v102(constB107)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[8883, 14818])).
% 135.50/86.16 tff(14820,plain,
% 135.50/86.16 (v106(constB107)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[8891, 14819])).
% 135.50/86.16 tff(14821,plain,
% 135.50/86.16 (v107(constB107)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[8895, 3161, 14820])).
% 135.50/86.16 tff(14822,plain,
% 135.50/86.16 (v94(constB106)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11370, 14821])).
% 135.50/86.16 tff(14823,plain,
% 135.50/86.16 (v84(constB108, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10502, 14817])).
% 135.50/86.16 tff(14824,plain,
% 135.50/86.16 (v124(constB107, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11023, 14823, 14815])).
% 135.50/86.16 tff(14825,plain,
% 135.50/86.16 (~v124(constB107, bitIndex0)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10564, 14824])).
% 135.50/86.16 tff(14826,plain,
% 135.50/86.16 (~v172(constB105)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11227, 14825, 14822])).
% 135.50/86.16 tff(14827,plain,
% 135.50/86.16 (v84(constB105, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[12669, 14826, 14816])).
% 135.50/86.16 tff(14828,plain,
% 135.50/86.16 (v84(constB104, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11043, 14827])).
% 135.50/86.16 tff(14829,plain,
% 135.50/86.16 (v104(constB106)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10220, 14822])).
% 135.50/86.16 tff(14830,plain,
% 135.50/86.16 (v102(constB105)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10228, 14829])).
% 135.50/86.16 tff(14831,plain,
% 135.50/86.16 (v106(constB105)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11107, 14830])).
% 135.50/86.16 tff(14832,plain,
% 135.50/86.16 (v107(constB105)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[10240, 3161, 14831])).
% 135.50/86.16 tff(14833,plain,
% 135.50/86.16 (v94(constB104)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[12683, 14832, 14816])).
% 135.50/86.16 tff(14834,plain,
% 135.50/86.16 (v123(constB104, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 14833, 14828])).
% 135.50/86.16 tff(14835,plain,
% 135.50/86.16 (v121(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11422, 14834])).
% 135.50/86.16 tff(14836,plain,
% 135.50/86.16 (v124(constB103, bitIndex1)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 14835])).
% 135.50/86.16 tff(14837,plain,
% 135.50/86.16 (~v113(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14745, 2167, 2186, 823, 14836])).
% 135.50/86.16 tff(14838,plain,
% 135.50/86.16 (~v123(constB100, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13976, 14154, 14155])).
% 135.50/86.16 tff(14839,plain,
% 135.50/86.16 (~v121(constB99, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13966, 14838])).
% 135.50/86.16 tff(14840,plain,
% 135.50/86.16 (~v124(constB99, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[13958, 14839])).
% 135.50/86.16 tff(14841,plain,
% 135.50/86.16 (~v116(constB103)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[11484, 2167, 2164, 823, 14836])).
% 135.50/86.16 tff(14842,assumption,(v84(constB97, bitIndex1)), introduced(assumption)).
% 135.50/86.16 tff(14843,assumption,(v145(constB97)), introduced(assumption)).
% 135.50/86.16 tff(14844,plain,
% 135.50/86.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB97)) | (~v84(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB97)) | (~v84(constB97, bitIndex1)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14845,plain,
% 135.50/86.16 (((~v84(constB97, bitIndex1)) | (~v145(constB97))) <=> ((~v145(constB97)) | (~v84(constB97, bitIndex1)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14846,plain,
% 135.50/86.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB97)) | (~v84(constB97, bitIndex1))))),
% 135.50/86.16 inference(monotonicity,[status(thm)],[14845])).
% 135.50/86.16 tff(14847,plain,
% 135.50/86.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB97)) | (~v84(constB97, bitIndex1)))),
% 135.50/86.16 inference(transitivity,[status(thm)],[14846, 14844])).
% 135.50/86.16 tff(14848,plain,
% 135.50/86.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v145(constB97)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14849,plain,
% 135.50/86.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB97)) | (~v84(constB97, bitIndex1))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14848, 14847])).
% 135.50/86.16 tff(14850,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14849, 816, 14843, 14842])).
% 135.50/86.16 tff(14851,plain,((~v145(constB97)) | (~v84(constB97, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14852,plain,
% 135.50/86.16 (~v145(constB97)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14851, 14842])).
% 135.50/86.16 tff(14853,plain,
% 135.50/86.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v94(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v94(constB100)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14854,plain,
% 135.50/86.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB99, constB100)) | v104(constB100) | (~v94(constB100)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14855,plain,
% 135.50/86.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB99, constB100)) | v104(constB100) | (~v94(constB100))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14854, 14853])).
% 135.50/86.16 tff(14856,plain,
% 135.50/86.16 (v104(constB100) | (~v94(constB100))),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14855, 3113, 13154])).
% 135.50/86.16 tff(14857,plain,
% 135.50/86.16 (v104(constB100)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14856, 14155])).
% 135.50/86.16 tff(14858,plain,
% 135.50/86.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB99, constB100)) | (~v104(constB100)) | v102(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB99, constB100)) | (~v104(constB100)) | v102(constB99))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14859,plain,
% 135.50/86.16 (((~nextState(constB99, constB100)) | v102(constB99) | (~v104(constB100))) <=> ((~nextState(constB99, constB100)) | (~v104(constB100)) | v102(constB99))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14860,plain,
% 135.50/86.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB99, constB100)) | v102(constB99) | (~v104(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB99, constB100)) | (~v104(constB100)) | v102(constB99)))),
% 135.50/86.16 inference(monotonicity,[status(thm)],[14859])).
% 135.50/86.16 tff(14861,plain,
% 135.50/86.16 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB99, constB100)) | v102(constB99) | (~v104(constB100)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB99, constB100)) | (~v104(constB100)) | v102(constB99))),
% 135.50/86.16 inference(transitivity,[status(thm)],[14860, 14858])).
% 135.50/86.16 tff(14862,plain,
% 135.50/86.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB99, constB100)) | v102(constB99) | (~v104(constB100)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14863,plain,
% 135.50/86.16 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB99, constB100)) | (~v104(constB100)) | v102(constB99)),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14862, 14861])).
% 135.50/86.16 tff(14864,plain,
% 135.50/86.16 ((~v104(constB100)) | v102(constB99)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14863, 3128, 13154])).
% 135.50/86.16 tff(14865,plain,
% 135.50/86.16 (v102(constB99)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14864, 14857])).
% 135.50/86.16 tff(14866,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB99)) | v26(constB99) | v106(constB99))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB99)) | v26(constB99) | v106(constB99))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14867,plain,
% 135.50/86.16 ((v26(constB99) | v106(constB99) | (~v102(constB99))) <=> ((~v102(constB99)) | v26(constB99) | v106(constB99))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14868,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB99) | v106(constB99) | (~v102(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB99)) | v26(constB99) | v106(constB99)))),
% 135.50/86.16 inference(monotonicity,[status(thm)],[14867])).
% 135.50/86.16 tff(14869,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB99) | v106(constB99) | (~v102(constB99)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB99)) | v26(constB99) | v106(constB99))),
% 135.50/86.16 inference(transitivity,[status(thm)],[14868, 14866])).
% 135.50/86.16 tff(14870,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB99) | v106(constB99) | (~v102(constB99)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14871,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB99)) | v26(constB99) | v106(constB99)),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14870, 14869])).
% 135.50/86.16 tff(14872,plain,
% 135.50/86.16 ((~v102(constB99)) | v106(constB99)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14871, 3146, 13883])).
% 135.50/86.16 tff(14873,plain,
% 135.50/86.16 (v106(constB99)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14872, 14865])).
% 135.50/86.16 tff(14874,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB99) | (~v106(constB99)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB99) | (~v106(constB99)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14875,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB99) | (~v106(constB99)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14876,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB99) | (~v106(constB99))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14875, 14874])).
% 135.50/86.16 tff(14877,plain,
% 135.50/86.16 (v107(constB99)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14876, 3161, 14873])).
% 135.50/86.16 tff(14878,assumption,(v107(constB99)), introduced(assumption)).
% 135.50/86.16 tff(14879,assumption,(~v94(constB98)), introduced(assumption)).
% 135.50/86.16 tff(14880,assumption,(~v84(constB98, bitIndex2)), introduced(assumption)).
% 135.50/86.16 tff(14881,assumption,(v84(constB97, bitIndex2)), introduced(assumption)).
% 135.50/86.16 tff(14882,plain,
% 135.50/86.16 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14883,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_97_1')).
% 135.50/86.16 tff(14884,plain,
% 135.50/86.16 (nextState(constB97, constB98)),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14883, 14882])).
% 135.50/86.16 tff(14885,plain,
% 135.50/86.16 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB98, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB98, bitIndex2))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14886,plain,
% 135.50/86.16 (((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v84(constB97, bitIndex2))) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB98, bitIndex2))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14887,plain,
% 135.50/86.16 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v84(constB97, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB98, bitIndex2)))),
% 135.50/86.16 inference(monotonicity,[status(thm)],[14886])).
% 135.50/86.16 tff(14888,plain,
% 135.50/86.16 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v84(constB97, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB98, bitIndex2))),
% 135.50/86.16 inference(transitivity,[status(thm)],[14887, 14885])).
% 135.50/86.16 tff(14889,plain,
% 135.50/86.16 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v84(constB97, bitIndex2)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14890,plain,
% 135.50/86.16 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB98, bitIndex2)),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14889, 14888])).
% 135.50/86.16 tff(14891,plain,
% 135.50/86.16 ($false),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14890, 777, 767, 14884, 14879, 14881, 14880])).
% 135.50/86.16 tff(14892,plain,(v84(constB98, bitIndex2) | v94(constB98) | (~v84(constB97, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.16 tff(14893,plain,
% 135.50/86.16 (~v84(constB97, bitIndex2)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14892, 14879, 14880])).
% 135.50/86.16 tff(14894,assumption,(~v107(constB97)), introduced(assumption)).
% 135.50/86.16 tff(14895,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB97) | (~v108(constB97)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB97) | (~v108(constB97)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14896,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB97) | (~v108(constB97)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14897,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB97) | (~v108(constB97))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14896, 14895])).
% 135.50/86.16 tff(14898,plain,
% 135.50/86.16 (~v108(constB97)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14897, 658, 14894])).
% 135.50/86.16 tff(14899,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB97) | (~v109(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB97) | (~v109(constB97)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14900,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB97) | (~v109(constB97)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14901,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB97) | (~v109(constB97))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14900, 14899])).
% 135.50/86.16 tff(14902,plain,
% 135.50/86.16 (~v109(constB97)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14901, 669, 14898])).
% 135.50/86.16 tff(14903,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB97) | (~v110(constB97)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB97) | (~v110(constB97)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14904,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB97) | (~v110(constB97)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14905,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB97) | (~v110(constB97))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14904, 14903])).
% 135.50/86.16 tff(14906,plain,
% 135.50/86.16 (~v110(constB97)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14905, 680, 14902])).
% 135.50/86.16 tff(14907,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB97) | (~v111(constB97)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB97) | (~v111(constB97)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14908,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB97) | (~v111(constB97)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14909,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB97) | (~v111(constB97))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14908, 14907])).
% 135.50/86.16 tff(14910,plain,
% 135.50/86.16 (~v111(constB97)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14909, 691, 14906])).
% 135.50/86.16 tff(14911,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB97) | (~v112(constB97)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB97) | (~v112(constB97)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14912,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB97) | (~v112(constB97)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14913,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB97) | (~v112(constB97))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14912, 14911])).
% 135.50/86.16 tff(14914,plain,
% 135.50/86.16 (~v112(constB97)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14913, 702, 14910])).
% 135.50/86.16 tff(14915,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB97) | (~v119(constB97)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB97) | (~v119(constB97)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14916,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB97) | (~v119(constB97)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14917,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB97) | (~v119(constB97))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14916, 14915])).
% 135.50/86.16 tff(14918,plain,
% 135.50/86.16 (~v119(constB97)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14917, 1927, 14894])).
% 135.50/86.16 tff(14919,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB97) | (~v115(constB97)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB97) | (~v115(constB97)))),
% 135.50/86.16 inference(rewrite,[status(thm)],[])).
% 135.50/86.16 tff(14920,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB97) | (~v115(constB97)))),
% 135.50/86.16 inference(quant_inst,[status(thm)],[])).
% 135.50/86.16 tff(14921,plain,
% 135.50/86.16 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB97) | (~v115(constB97))),
% 135.50/86.16 inference(modus_ponens,[status(thm)],[14920, 14919])).
% 135.50/86.16 tff(14922,plain,
% 135.50/86.16 (~v115(constB97)),
% 135.50/86.16 inference(unit_resolution,[status(thm)],[14921, 945, 14910])).
% 135.50/86.16 tff(14923,assumption,(~v84(constB97, bitIndex0)), introduced(assumption)).
% 135.50/86.16 tff(14924,plain,
% 135.50/86.16 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB97) | (~v113(constB97)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB97) | (~v113(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14925,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB97) | (~v113(constB97)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14926,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB97) | (~v113(constB97))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14925, 14924])).
% 135.50/86.17 tff(14927,plain,
% 135.50/86.17 (~v113(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14926, 969, 14914])).
% 135.50/86.17 tff(14928,assumption,(~v113(constB97)), introduced(assumption)).
% 135.50/86.17 tff(14929,assumption,(~v84(constB97, bitIndex2)), introduced(assumption)).
% 135.50/86.17 tff(14930,assumption,(~v115(constB97)), introduced(assumption)).
% 135.50/86.17 tff(14931,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v115(constB97))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v115(constB97))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14932,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v115(constB97))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14933,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v115(constB97)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14932, 14931])).
% 135.50/86.17 tff(14934,plain,
% 135.50/86.17 ((~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v115(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14933, 1095, 14923])).
% 135.50/86.17 tff(14935,plain,
% 135.50/86.17 (~v84(constB97, bitIndex1)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14934, 14929, 14930])).
% 135.50/86.17 tff(14936,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB97) | v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB97) | v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14937,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB97) | v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14938,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB97) | v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 135.50/86.17 tff(14939,plain,
% 135.50/86.17 (v113(constB97) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14938, 983, 14923])).
% 135.50/86.17 tff(14940,plain,
% 135.50/86.17 ($false),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14939, 14935, 14929, 14928])).
% 135.50/86.17 tff(14941,plain,(v84(constB97, bitIndex2) | v113(constB97) | v84(constB97, bitIndex0) | v115(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.17 tff(14942,plain,
% 135.50/86.17 (v84(constB97, bitIndex2)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14941, 14927, 14923, 14922])).
% 135.50/86.17 tff(14943,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB97) | (~v172(constB97)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB97) | (~v172(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14944,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB97) | (~v172(constB97)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14945,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB97) | (~v172(constB97))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14944, 14943])).
% 135.50/86.17 tff(14946,plain,
% 135.50/86.17 (~v172(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14945, 1033, 14902])).
% 135.50/86.17 tff(14947,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v172(constB97))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v172(constB97))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14948,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v172(constB97))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14949,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v172(constB97)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14948, 14947])).
% 135.50/86.17 tff(14950,plain,
% 135.50/86.17 (v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v172(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14949, 1047, 14923])).
% 135.50/86.17 tff(14951,plain,
% 135.50/86.17 (v84(constB97, bitIndex1)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14950, 14942, 14946])).
% 135.50/86.17 tff(14952,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB97) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB97) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14953,plain,
% 135.50/86.17 ((v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97)) <=> (v119(constB97) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14954,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB97) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2))))),
% 135.50/86.17 inference(monotonicity,[status(thm)],[14953])).
% 135.50/86.17 tff(14955,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB97) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)))),
% 135.50/86.17 inference(transitivity,[status(thm)],[14954, 14952])).
% 135.50/86.17 tff(14956,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)) | v119(constB97))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14957,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB97) | v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14956, 14955])).
% 135.50/86.17 tff(14958,plain,
% 135.50/86.17 (v119(constB97) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2))),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14957, 1910, 14923])).
% 135.50/86.17 tff(14959,plain,
% 135.50/86.17 ($false),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14958, 14951, 14942, 14918])).
% 135.50/86.17 tff(14960,plain,(v107(constB97) | v84(constB97, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.17 tff(14961,plain,
% 135.50/86.17 (v84(constB97, bitIndex0)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14960, 14894])).
% 135.50/86.17 tff(14962,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB97) | (~v116(constB97)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB97) | (~v116(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14963,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB97) | (~v116(constB97)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14964,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB97) | (~v116(constB97))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14963, 14962])).
% 135.50/86.17 tff(14965,plain,
% 135.50/86.17 (~v116(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14964, 934, 14906])).
% 135.50/86.17 tff(14966,assumption,(~v116(constB97)), introduced(assumption)).
% 135.50/86.17 tff(14967,assumption,(v84(constB97, bitIndex0)), introduced(assumption)).
% 135.50/86.17 tff(14968,assumption,(~v145(constB97)), introduced(assumption)).
% 135.50/86.17 tff(14969,plain,
% 135.50/86.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB97) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB97) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14970,plain,
% 135.50/86.17 (((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97)) <=> (v145(constB97) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14971,plain,
% 135.50/86.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB97) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0))))),
% 135.50/86.17 inference(monotonicity,[status(thm)],[14970])).
% 135.50/86.17 tff(14972,plain,
% 135.50/86.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB97) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)))),
% 135.50/86.17 inference(transitivity,[status(thm)],[14971, 14969])).
% 135.50/86.17 tff(14973,plain,
% 135.50/86.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | v145(constB97))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14974,plain,
% 135.50/86.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB97) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 135.50/86.17 tff(14975,plain,
% 135.50/86.17 (v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0))),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14974, 865, 14968])).
% 135.50/86.17 tff(14976,plain,
% 135.50/86.17 (v84(constB97, bitIndex1)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14975, 14929, 14967])).
% 135.50/86.17 tff(14977,plain,
% 135.50/86.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)) | v116(constB97))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)) | v116(constB97))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14978,plain,
% 135.50/86.17 (((~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v116(constB97)) <=> ((~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)) | v116(constB97))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14979,plain,
% 135.50/86.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v116(constB97))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)) | v116(constB97)))),
% 135.50/86.17 inference(monotonicity,[status(thm)],[14978])).
% 135.50/86.17 tff(14980,plain,
% 135.50/86.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v116(constB97))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)) | v116(constB97))),
% 135.50/86.17 inference(transitivity,[status(thm)],[14979, 14977])).
% 135.50/86.17 tff(14981,plain,
% 135.50/86.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v116(constB97))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14982,plain,
% 135.50/86.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)) | v116(constB97)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14981, 14980])).
% 135.50/86.17 tff(14983,plain,
% 135.50/86.17 ((~v84(constB97, bitIndex1)) | v84(constB97, bitIndex2) | v116(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14982, 1076, 14967])).
% 135.50/86.17 tff(14984,plain,
% 135.50/86.17 ($false),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14983, 14976, 14929, 14966])).
% 135.50/86.17 tff(14985,plain,(v84(constB97, bitIndex2) | v116(constB97) | (~v84(constB97, bitIndex0)) | v145(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.17 tff(14986,plain,
% 135.50/86.17 (v145(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14985, 14965, 14929, 14961])).
% 135.50/86.17 tff(14987,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB97) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB97) | (~v145(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14988,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB97) | (~v145(constB97)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14989,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB97) | (~v145(constB97))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[14988, 14987])).
% 135.50/86.17 tff(14990,plain,
% 135.50/86.17 ($false),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14989, 713, 14986, 14914])).
% 135.50/86.17 tff(14991,plain,(v107(constB97) | v84(constB97, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.17 tff(14992,plain,
% 135.50/86.17 (v107(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14991, 14893])).
% 135.50/86.17 tff(14993,assumption,(v26(constB97)), introduced(assumption)).
% 135.50/86.17 tff(14994,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(14995,plain,
% 135.50/86.17 ($false),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[14994, 1172, 14993])).
% 135.50/86.17 tff(14996,plain,(~v26(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.17 tff(14997,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | v106(constB97) | (~v107(constB97)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14998,plain,
% 135.50/86.17 ((v26(constB97) | (~v107(constB97)) | v106(constB97)) <=> (v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(14999,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | v106(constB97) | (~v107(constB97))))),
% 135.50/86.17 inference(monotonicity,[status(thm)],[14998])).
% 135.50/86.17 tff(15000,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97)))),
% 135.50/86.17 inference(transitivity,[status(thm)],[14999, 14997])).
% 135.50/86.17 tff(15001,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB97) | (~v107(constB97)) | v106(constB97))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15002,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB97) | v106(constB97) | (~v107(constB97))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15001, 15000])).
% 135.50/86.17 tff(15003,plain,
% 135.50/86.17 (v106(constB97) | (~v107(constB97))),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15002, 644, 14996])).
% 135.50/86.17 tff(15004,plain,
% 135.50/86.17 (v106(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15003, 14992])).
% 135.50/86.17 tff(15005,plain,
% 135.50/86.17 ((~v1(constB97)) <=> (~v1(constB97))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15006,axiom,(~v1(constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_97_1_1')).
% 135.50/86.17 tff(15007,plain,
% 135.50/86.17 (~v1(constB97)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 135.50/86.17 tff(15008,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15009,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15010,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB97) | (~nextState(constB97, constB98)) | (~v98(constB98))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 135.50/86.17 tff(15011,plain,
% 135.50/86.17 (~v98(constB98)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15010, 541, 14884, 15007])).
% 135.50/86.17 tff(15012,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15013,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB97, constB98)) | v96(constB98) | v98(constB98))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15014,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB97, constB98)) | v96(constB98) | v98(constB98)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15013, 15012])).
% 135.50/86.17 tff(15015,plain,
% 135.50/86.17 (v96(constB98) | v98(constB98)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15014, 555, 14884])).
% 135.50/86.17 tff(15016,plain,
% 135.50/86.17 (v96(constB98)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15015, 15011])).
% 135.50/86.17 tff(15017,plain,
% 135.50/86.17 (v1(constB98) <=> v1(constB98)),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15018,axiom,(v1(constB98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_98_1')).
% 135.50/86.17 tff(15019,plain,
% 135.50/86.17 (v1(constB98)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15018, 15017])).
% 135.50/86.17 tff(15020,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15021,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15022,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB97, constB98)) | v95(constB98) | (~v96(constB98)) | (~v1(constB98))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 135.50/86.17 tff(15023,plain,
% 135.50/86.17 (v95(constB98) | (~v96(constB98))),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15022, 573, 14884, 15019])).
% 135.50/86.17 tff(15024,plain,
% 135.50/86.17 (v95(constB98)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15023, 15016])).
% 135.50/86.17 tff(15025,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15026,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15027,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB97, constB98)) | (~v95(constB98)) | (~v104(constB98)) | v94(constB98)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15026, 15025])).
% 135.50/86.17 tff(15028,plain,
% 135.50/86.17 ((~v95(constB98)) | (~v104(constB98)) | v94(constB98)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15027, 588, 14884])).
% 135.50/86.17 tff(15029,plain,
% 135.50/86.17 ((~v104(constB98)) | v94(constB98)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15028, 15024])).
% 135.50/86.17 tff(15030,plain,
% 135.50/86.17 (~v104(constB98)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15029, 14879])).
% 135.50/86.17 tff(15031,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15032,plain,
% 135.50/86.17 (((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98)) <=> ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15033,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))))),
% 135.50/86.17 inference(monotonicity,[status(thm)],[15032])).
% 135.50/86.17 tff(15034,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97)))),
% 135.50/86.17 inference(transitivity,[status(thm)],[15033, 15031])).
% 135.50/86.17 tff(15035,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB97, constB98)) | (~v102(constB97)) | v104(constB98))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15036,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v102(constB97))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15035, 15034])).
% 135.50/86.17 tff(15037,plain,
% 135.50/86.17 (v104(constB98) | (~v102(constB97))),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15036, 604, 14884])).
% 135.50/86.17 tff(15038,plain,
% 135.50/86.17 (~v102(constB97)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15037, 15030])).
% 135.50/86.17 tff(15039,plain,
% 135.50/86.17 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB97) | (~v106(constB97)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB97) | (~v106(constB97)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15040,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB97) | (~v106(constB97)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15041,plain,
% 135.50/86.17 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB97) | (~v106(constB97))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15040, 15039])).
% 135.50/86.17 tff(15042,plain,
% 135.50/86.17 ($false),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15041, 619, 15038, 15004])).
% 135.50/86.17 tff(15043,plain,(v94(constB98) | v84(constB98, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.17 tff(15044,plain,
% 135.50/86.17 (v84(constB98, bitIndex2)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15043, 14879])).
% 135.50/86.17 tff(15045,assumption,(v84(constB98, bitIndex2)), introduced(assumption)).
% 135.50/86.17 tff(15046,assumption,(~v84(constB99, bitIndex2)), introduced(assumption)).
% 135.50/86.17 tff(15047,plain,
% 135.50/86.17 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15048,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_98_1')).
% 135.50/86.17 tff(15049,plain,
% 135.50/86.17 (nextState(constB98, constB99)),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15048, 15047])).
% 135.50/86.17 tff(15050,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15051,plain,
% 135.50/86.17 (((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99)) <=> (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15052,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))))),
% 135.50/86.17 inference(monotonicity,[status(thm)],[15051])).
% 135.50/86.17 tff(15053,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99)))),
% 135.50/86.17 inference(transitivity,[status(thm)],[15052, 15050])).
% 135.50/86.17 tff(15054,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB98, constB99)) | (~v95(constB99)) | v1(constB99))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15055,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB99) | (~nextState(constB98, constB99)) | (~v95(constB99))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15054, 15053])).
% 135.50/86.17 tff(15056,plain,
% 135.50/86.17 (~v95(constB99)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15055, 742, 15049, 13172])).
% 135.50/86.17 tff(15057,plain,
% 135.50/86.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15058,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15059,plain,
% 135.50/86.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB98, constB99)) | v95(constB99) | (~v94(constB99))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15058, 15057])).
% 135.50/86.17 tff(15060,plain,
% 135.50/86.17 (v95(constB99) | (~v94(constB99))),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15059, 759, 15049])).
% 135.50/86.17 tff(15061,plain,
% 135.50/86.17 (~v94(constB99)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15060, 15056])).
% 135.50/86.17 tff(15062,plain,
% 135.50/86.17 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB98, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB98, bitIndex2)))),
% 135.50/86.17 inference(rewrite,[status(thm)],[])).
% 135.50/86.17 tff(15063,plain,
% 135.50/86.17 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB98, bitIndex2)))),
% 135.50/86.17 inference(quant_inst,[status(thm)],[])).
% 135.50/86.17 tff(15064,plain,
% 135.50/86.17 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex2)) | v84(constB99, bitIndex2) | (~v84(constB98, bitIndex2))),
% 135.50/86.17 inference(modus_ponens,[status(thm)],[15063, 15062])).
% 135.50/86.17 tff(15065,plain,
% 135.50/86.17 ($false),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15064, 777, 767, 15049, 15061, 15046, 15045])).
% 135.50/86.17 tff(15066,plain,(v84(constB99, bitIndex2) | (~v84(constB98, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.17 tff(15067,plain,
% 135.50/86.17 (v84(constB99, bitIndex2)),
% 135.50/86.17 inference(unit_resolution,[status(thm)],[15066, 15044])).
% 135.50/86.17 tff(15068,plain,
% 135.50/86.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB99, bitIndex2)) | (~v145(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB99, bitIndex2)) | (~v145(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15069,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB99, bitIndex2)) | (~v145(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15070,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB99, bitIndex2)) | (~v145(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 135.50/86.18 tff(15071,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15070, 725, 14078, 13343])).
% 135.50/86.18 tff(15072,plain,((~v145(constB99)) | (~v84(constB99, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15073,plain,
% 135.50/86.18 (~v145(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15072, 15067])).
% 135.50/86.18 tff(15074,assumption,(~v84(constB98, bitIndex1)), introduced(assumption)).
% 135.50/86.18 tff(15075,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB98, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB98, bitIndex1))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15076,plain,
% 135.50/86.18 (((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v84(constB97, bitIndex1))) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB98, bitIndex1))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15077,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v84(constB97, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB98, bitIndex1)))),
% 135.50/86.18 inference(monotonicity,[status(thm)],[15076])).
% 135.50/86.18 tff(15078,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v84(constB97, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB98, bitIndex1))),
% 135.50/86.18 inference(transitivity,[status(thm)],[15077, 15075])).
% 135.50/86.18 tff(15079,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v84(constB97, bitIndex1)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15080,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB98, bitIndex1)),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15079, 15078])).
% 135.50/86.18 tff(15081,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15080, 777, 823, 14884, 14879, 14842, 15074])).
% 135.50/86.18 tff(15082,plain,(v84(constB98, bitIndex1) | v94(constB98) | (~v84(constB97, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15083,plain,
% 135.50/86.18 (v84(constB98, bitIndex1)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15082, 14879, 14842])).
% 135.50/86.18 tff(15084,assumption,(v84(constB98, bitIndex1)), introduced(assumption)).
% 135.50/86.18 tff(15085,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB98, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB98, bitIndex1)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15086,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB98, bitIndex1)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15087,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex1)) | v84(constB99, bitIndex1) | (~v84(constB98, bitIndex1))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15086, 15085])).
% 135.50/86.18 tff(15088,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15087, 777, 823, 15049, 15061, 13344, 15084])).
% 135.50/86.18 tff(15089,plain,(v84(constB99, bitIndex1) | (~v84(constB98, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15090,plain,
% 135.50/86.18 (v84(constB99, bitIndex1)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15089, 15083])).
% 135.50/86.18 tff(15091,assumption,(v84(constB99, bitIndex0)), introduced(assumption)).
% 135.50/86.18 tff(15092,plain,
% 135.50/86.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB99, bitIndex0)) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB99, bitIndex0)) | (~v115(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15093,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB99, bitIndex0)) | (~v115(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15094,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB99, bitIndex0)) | (~v115(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15093, 15092])).
% 135.50/86.18 tff(15095,plain,
% 135.50/86.18 (~v115(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15094, 3011, 15091])).
% 135.50/86.18 tff(15096,assumption,(v84(constB99, bitIndex1)), introduced(assumption)).
% 135.50/86.18 tff(15097,plain,
% 135.50/86.18 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB99)) | (~v84(constB99, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB99)) | (~v84(constB99, bitIndex1)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15098,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB99)) | (~v84(constB99, bitIndex1)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15099,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB99)) | (~v84(constB99, bitIndex1))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15098, 15097])).
% 135.50/86.18 tff(15100,plain,
% 135.50/86.18 (~v113(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15099, 1465, 15096])).
% 135.50/86.18 tff(15101,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB99)) | v145(constB99) | v113(constB99))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB99)) | v145(constB99) | v113(constB99))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15102,plain,
% 135.50/86.18 ((v113(constB99) | (~v112(constB99)) | v145(constB99)) <=> ((~v112(constB99)) | v145(constB99) | v113(constB99))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15103,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB99) | (~v112(constB99)) | v145(constB99))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB99)) | v145(constB99) | v113(constB99)))),
% 135.50/86.18 inference(monotonicity,[status(thm)],[15102])).
% 135.50/86.18 tff(15104,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB99) | (~v112(constB99)) | v145(constB99))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB99)) | v145(constB99) | v113(constB99))),
% 135.50/86.18 inference(transitivity,[status(thm)],[15103, 15101])).
% 135.50/86.18 tff(15105,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB99) | (~v112(constB99)) | v145(constB99))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15106,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB99)) | v145(constB99) | v113(constB99)),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 135.50/86.18 tff(15107,plain,
% 135.50/86.18 ((~v112(constB99)) | v113(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15106, 2894, 13456])).
% 135.50/86.18 tff(15108,plain,
% 135.50/86.18 (~v112(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15107, 15100])).
% 135.50/86.18 tff(15109,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB99) | v115(constB99) | (~v111(constB99)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB99) | v115(constB99) | (~v111(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15110,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB99) | v115(constB99) | (~v111(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15111,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB99) | v115(constB99) | (~v111(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15110, 15109])).
% 135.50/86.18 tff(15112,plain,
% 135.50/86.18 (~v111(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15111, 2911, 15108, 15095])).
% 135.50/86.18 tff(15113,plain,
% 135.50/86.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB99)) | (~v84(constB99, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB99)) | (~v84(constB99, bitIndex0)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15114,plain,
% 135.50/86.18 (((~v84(constB99, bitIndex0)) | (~v119(constB99))) <=> ((~v119(constB99)) | (~v84(constB99, bitIndex0)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15115,plain,
% 135.50/86.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB99, bitIndex0)) | (~v119(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB99)) | (~v84(constB99, bitIndex0))))),
% 135.50/86.18 inference(monotonicity,[status(thm)],[15114])).
% 135.50/86.18 tff(15116,plain,
% 135.50/86.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB99, bitIndex0)) | (~v119(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB99)) | (~v84(constB99, bitIndex0)))),
% 135.50/86.18 inference(transitivity,[status(thm)],[15115, 15113])).
% 135.50/86.18 tff(15117,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB99, bitIndex0)) | (~v119(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15118,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB99)) | (~v84(constB99, bitIndex0))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15117, 15116])).
% 135.50/86.18 tff(15119,plain,
% 135.50/86.18 (~v119(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15118, 3173, 15091])).
% 135.50/86.18 tff(15120,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB99) | v119(constB99) | (~v107(constB99)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB99) | v119(constB99) | (~v107(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15121,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB99) | v119(constB99) | (~v107(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15122,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB99) | v119(constB99) | (~v107(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15121, 15120])).
% 135.50/86.18 tff(15123,plain,
% 135.50/86.18 (v108(constB99) | v119(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15122, 3195, 14878])).
% 135.50/86.18 tff(15124,plain,
% 135.50/86.18 (v108(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15123, 15119])).
% 135.50/86.18 tff(15125,plain,
% 135.50/86.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB99, bitIndex1)) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB99, bitIndex1)) | (~v118(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15126,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB99, bitIndex1)) | (~v118(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15127,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB99, bitIndex1)) | (~v118(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15126, 15125])).
% 135.50/86.18 tff(15128,plain,
% 135.50/86.18 (~v118(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15127, 2842, 15096])).
% 135.50/86.18 tff(15129,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB99) | v118(constB99) | (~v108(constB99)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB99) | v118(constB99) | (~v108(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15130,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB99) | v118(constB99) | (~v108(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15131,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB99) | v118(constB99) | (~v108(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15130, 15129])).
% 135.50/86.18 tff(15132,plain,
% 135.50/86.18 (v109(constB99) | (~v108(constB99))),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15131, 2856, 15128])).
% 135.50/86.18 tff(15133,plain,
% 135.50/86.18 (v109(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15132, 15124])).
% 135.50/86.18 tff(15134,plain,
% 135.50/86.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB99, bitIndex1)) | (~v172(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB99, bitIndex1)) | (~v172(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15135,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB99, bitIndex1)) | (~v172(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15136,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB99, bitIndex1)) | (~v172(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15135, 15134])).
% 135.50/86.18 tff(15137,plain,
% 135.50/86.18 (~v172(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15136, 2289, 15096])).
% 135.50/86.18 tff(15138,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB99)) | v172(constB99) | v110(constB99))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB99)) | v172(constB99) | v110(constB99))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15139,plain,
% 135.50/86.18 ((v110(constB99) | (~v109(constB99)) | v172(constB99)) <=> ((~v109(constB99)) | v172(constB99) | v110(constB99))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15140,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB99) | (~v109(constB99)) | v172(constB99))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB99)) | v172(constB99) | v110(constB99)))),
% 135.50/86.18 inference(monotonicity,[status(thm)],[15139])).
% 135.50/86.18 tff(15141,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB99) | (~v109(constB99)) | v172(constB99))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB99)) | v172(constB99) | v110(constB99))),
% 135.50/86.18 inference(transitivity,[status(thm)],[15140, 15138])).
% 135.50/86.18 tff(15142,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB99) | (~v109(constB99)) | v172(constB99))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15143,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB99)) | v172(constB99) | v110(constB99)),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15142, 15141])).
% 135.50/86.18 tff(15144,plain,
% 135.50/86.18 ((~v109(constB99)) | v110(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15143, 2871, 15137])).
% 135.50/86.18 tff(15145,plain,
% 135.50/86.18 (v110(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15144, 15133])).
% 135.50/86.18 tff(15146,plain,
% 135.50/86.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB99, bitIndex2)) | (~v116(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB99, bitIndex2)) | (~v116(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15147,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB99, bitIndex2)) | (~v116(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15148,plain,
% 135.50/86.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB99, bitIndex2)) | (~v116(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 135.50/86.18 tff(15149,plain,
% 135.50/86.18 (~v116(constB99)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15148, 1130, 13343])).
% 135.50/86.18 tff(15150,plain,
% 135.50/86.18 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB99) | v116(constB99) | (~v110(constB99)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB99) | v116(constB99) | (~v110(constB99)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15151,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB99) | v116(constB99) | (~v110(constB99)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15152,plain,
% 135.50/86.18 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB99) | v116(constB99) | (~v110(constB99))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 135.50/86.18 tff(15153,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15152, 2932, 15149, 15145, 15112])).
% 135.50/86.18 tff(15154,plain,(v145(constB99) | (~v107(constB99)) | (~v84(constB99, bitIndex2)) | (~v84(constB99, bitIndex0)) | (~v84(constB99, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15155,plain,
% 135.50/86.18 (~v84(constB99, bitIndex0)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15154, 15090, 14878, 15067, 15073])).
% 135.50/86.18 tff(15156,assumption,(v84(constB98, bitIndex0)), introduced(assumption)).
% 135.50/86.18 tff(15157,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB98, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB98, bitIndex0)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15158,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB98, bitIndex0)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15159,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex0)) | v84(constB99, bitIndex0) | (~v84(constB98, bitIndex0))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15158, 15157])).
% 135.50/86.18 tff(15160,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15159, 777, 795, 15049, 15061, 13162, 15156])).
% 135.50/86.18 tff(15161,plain,(v84(constB99, bitIndex0) | (~v84(constB98, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15162,plain,
% 135.50/86.18 (~v84(constB98, bitIndex0)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15161, 15155])).
% 135.50/86.18 tff(15163,assumption,(~v84(constB98, bitIndex0)), introduced(assumption)).
% 135.50/86.18 tff(15164,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB98, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB98, bitIndex0))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15165,plain,
% 135.50/86.18 (((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB98, bitIndex0) | (~v84(constB97, bitIndex0))) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB98, bitIndex0))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15166,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB98, bitIndex0) | (~v84(constB97, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB98, bitIndex0)))),
% 135.50/86.18 inference(monotonicity,[status(thm)],[15165])).
% 135.50/86.18 tff(15167,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB98, bitIndex0) | (~v84(constB97, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB98, bitIndex0))),
% 135.50/86.18 inference(transitivity,[status(thm)],[15166, 15164])).
% 135.50/86.18 tff(15168,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB98, bitIndex0) | (~v84(constB97, bitIndex0)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15169,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB98, bitIndex0)),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15168, 15167])).
% 135.50/86.18 tff(15170,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15169, 777, 795, 14884, 14879, 14967, 15163])).
% 135.50/86.18 tff(15171,plain,(v84(constB98, bitIndex0) | v94(constB98) | (~v84(constB97, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15172,plain,
% 135.50/86.18 (~v84(constB97, bitIndex0)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15171, 15162, 14879])).
% 135.50/86.18 tff(15173,plain,
% 135.50/86.18 (v107(constB97)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[14960, 15172])).
% 135.50/86.18 tff(15174,plain,
% 135.50/86.18 (v106(constB97)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15003, 15173])).
% 135.50/86.18 tff(15175,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15041, 619, 15038, 15174])).
% 135.50/86.18 tff(15176,plain,(v94(constB98) | (~v107(constB99)) | (~v84(constB97, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15177,plain,
% 135.50/86.18 (~v84(constB97, bitIndex1)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15176, 14879, 14878])).
% 135.50/86.18 tff(15178,assumption,(~v84(constB97, bitIndex1)), introduced(assumption)).
% 135.50/86.18 tff(15179,assumption,(v84(constB96, bitIndex1)), introduced(assumption)).
% 135.50/86.18 tff(15180,plain,
% 135.50/86.18 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15181,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_96_1')).
% 135.50/86.18 tff(15182,plain,
% 135.50/86.18 (nextState(constB96, constB97)),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15181, 15180])).
% 135.50/86.18 tff(15183,plain,
% 135.50/86.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15184,plain,
% 135.50/86.18 (((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97)) <=> (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15185,plain,
% 135.50/86.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))))),
% 135.50/86.18 inference(monotonicity,[status(thm)],[15184])).
% 135.50/86.18 tff(15186,plain,
% 135.50/86.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97)))),
% 135.50/86.18 inference(transitivity,[status(thm)],[15185, 15183])).
% 135.50/86.18 tff(15187,plain,
% 135.50/86.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB96, constB97)) | (~v95(constB97)) | v1(constB97))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15188,plain,
% 135.50/86.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB97) | (~nextState(constB96, constB97)) | (~v95(constB97))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15187, 15186])).
% 135.50/86.18 tff(15189,plain,
% 135.50/86.18 (~v95(constB97)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15188, 742, 15182, 15007])).
% 135.50/86.18 tff(15190,plain,
% 135.50/86.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15191,plain,
% 135.50/86.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15192,plain,
% 135.50/86.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB96, constB97)) | v95(constB97) | (~v94(constB97))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15191, 15190])).
% 135.50/86.18 tff(15193,plain,
% 135.50/86.18 (v95(constB97) | (~v94(constB97))),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15192, 759, 15182])).
% 135.50/86.18 tff(15194,plain,
% 135.50/86.18 (~v94(constB97)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15193, 15189])).
% 135.50/86.18 tff(15195,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB96, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB96, bitIndex1)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15196,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB96, bitIndex1)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15197,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB96, bitIndex1))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15196, 15195])).
% 135.50/86.18 tff(15198,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15197, 777, 823, 15182, 15194, 15179, 15178])).
% 135.50/86.18 tff(15199,plain,(v84(constB97, bitIndex1) | (~v84(constB96, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15200,plain,
% 135.50/86.18 (~v84(constB96, bitIndex1)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15199, 15177])).
% 135.50/86.18 tff(15201,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB98, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB98, bitIndex1)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15202,plain,
% 135.50/86.18 (((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB98, bitIndex1)) | v84(constB97, bitIndex1)) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB98, bitIndex1)))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15203,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB98, bitIndex1)) | v84(constB97, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB98, bitIndex1))))),
% 135.50/86.18 inference(monotonicity,[status(thm)],[15202])).
% 135.50/86.18 tff(15204,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB98, bitIndex1)) | v84(constB97, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB98, bitIndex1)))),
% 135.50/86.18 inference(transitivity,[status(thm)],[15203, 15201])).
% 135.50/86.18 tff(15205,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | (~v84(constB98, bitIndex1)) | v84(constB97, bitIndex1))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15206,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex1)) | v84(constB97, bitIndex1) | (~v84(constB98, bitIndex1))),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15205, 15204])).
% 135.50/86.18 tff(15207,plain,
% 135.50/86.18 (v94(constB98) | v84(constB97, bitIndex1)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15206, 805, 823, 14884, 15084])).
% 135.50/86.18 tff(15208,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15207, 15177, 14879])).
% 135.50/86.18 tff(15209,plain,(v94(constB98) | (~v84(constB98, bitIndex1)) | (~v107(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15210,plain,
% 135.50/86.18 (~v84(constB98, bitIndex1)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15209, 14879, 14878])).
% 135.50/86.18 tff(15211,assumption,(v94(constB96)), introduced(assumption)).
% 135.50/86.18 tff(15212,plain,
% 135.50/86.18 (~v84(constB96, bitIndex1)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15199, 15178])).
% 135.50/86.18 tff(15213,assumption,(v123(constB96, bitIndex1)), introduced(assumption)).
% 135.50/86.18 tff(15214,assumption,(~v84(constB96, bitIndex1)), introduced(assumption)).
% 135.50/86.18 tff(15215,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v84(constB96, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v84(constB96, bitIndex1))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15216,plain,
% 135.50/86.18 (((~less_3(bitIndex1)) | (~v94(constB96)) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1))) <=> ((~v94(constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v84(constB96, bitIndex1))),
% 135.50/86.18 inference(rewrite,[status(thm)],[])).
% 135.50/86.18 tff(15217,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB96)) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v84(constB96, bitIndex1)))),
% 135.50/86.18 inference(monotonicity,[status(thm)],[15216])).
% 135.50/86.18 tff(15218,plain,
% 135.50/86.18 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB96)) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v84(constB96, bitIndex1))),
% 135.50/86.18 inference(transitivity,[status(thm)],[15217, 15215])).
% 135.50/86.18 tff(15219,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB96)) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1)))),
% 135.50/86.18 inference(quant_inst,[status(thm)],[])).
% 135.50/86.18 tff(15220,plain,
% 135.50/86.18 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v84(constB96, bitIndex1)),
% 135.50/86.18 inference(modus_ponens,[status(thm)],[15219, 15218])).
% 135.50/86.18 tff(15221,plain,
% 135.50/86.18 ($false),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15220, 1674, 823, 15211, 15214, 15213])).
% 135.50/86.18 tff(15222,plain,(v84(constB96, bitIndex1) | (~v94(constB96)) | (~v123(constB96, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.18 tff(15223,plain,
% 135.50/86.18 (~v123(constB96, bitIndex1)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[15222, 15212, 15211])).
% 135.50/86.18 tff(15224,plain,
% 135.50/86.18 (v84(constB97, bitIndex2)),
% 135.50/86.18 inference(unit_resolution,[status(thm)],[14991, 14894])).
% 135.50/86.19 tff(15225,assumption,(~v118(constB97)), introduced(assumption)).
% 135.50/86.19 tff(15226,plain,
% 135.50/86.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97) | (~v84(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97) | (~v84(constB97, bitIndex0)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15227,plain,
% 135.50/86.19 (((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97)) <=> (v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97) | (~v84(constB97, bitIndex0)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15228,plain,
% 135.50/86.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97) | (~v84(constB97, bitIndex0))))),
% 135.50/86.19 inference(monotonicity,[status(thm)],[15227])).
% 135.50/86.19 tff(15229,plain,
% 135.50/86.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97) | (~v84(constB97, bitIndex0)))),
% 135.50/86.19 inference(transitivity,[status(thm)],[15228, 15226])).
% 135.50/86.19 tff(15230,plain,
% 135.50/86.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB97, bitIndex0)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15231,plain,
% 135.50/86.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)) | v118(constB97) | (~v84(constB97, bitIndex0))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15230, 15229])).
% 135.50/86.19 tff(15232,plain,
% 135.50/86.19 ($false),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15231, 1018, 14967, 14881, 15178, 15225])).
% 135.50/86.19 tff(15233,plain,(v118(constB97) | (~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.19 tff(15234,plain,
% 135.50/86.19 (v118(constB97)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15233, 14961, 15224, 15178])).
% 135.50/86.19 tff(15235,plain,
% 135.50/86.19 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB97) | (~v118(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB97) | (~v118(constB97)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15236,plain,
% 135.50/86.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB97) | (~v118(constB97)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15237,plain,
% 135.50/86.19 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB97) | (~v118(constB97))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15236, 15235])).
% 135.50/86.19 tff(15238,plain,
% 135.50/86.19 ($false),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15237, 1004, 15234, 14898])).
% 135.50/86.19 tff(15239,plain,(v107(constB97) | v84(constB97, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.19 tff(15240,plain,
% 135.50/86.19 (v107(constB97)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15239, 15178])).
% 135.50/86.19 tff(15241,plain,
% 135.50/86.19 (v106(constB97)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15003, 15240])).
% 135.50/86.19 tff(15242,plain,
% 135.50/86.19 (v102(constB97)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15041, 619, 15241])).
% 135.50/86.19 tff(15243,plain,
% 135.50/86.19 (v104(constB98)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15037, 15242])).
% 135.50/86.19 tff(15244,plain,
% 135.50/86.19 (v94(constB98)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15029, 15243])).
% 135.50/86.19 tff(15245,assumption,(v123(constB98, bitIndex1)), introduced(assumption)).
% 135.50/86.19 tff(15246,assumption,(v94(constB98)), introduced(assumption)).
% 135.50/86.19 tff(15247,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB98)) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15248,plain,
% 135.50/86.19 (((~less_3(bitIndex1)) | (~v94(constB98)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1))) <=> ((~v94(constB98)) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15249,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB98)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB98)) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1))))),
% 135.50/86.19 inference(monotonicity,[status(thm)],[15248])).
% 135.50/86.19 tff(15250,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB98)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 135.50/86.19 inference(transitivity,[status(thm)],[15249, 15247])).
% 135.50/86.19 tff(15251,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB98)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15252,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex1)) | v84(constB98, bitIndex1) | (~v123(constB98, bitIndex1))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15251, 15250])).
% 135.50/86.19 tff(15253,plain,
% 135.50/86.19 ($false),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15252, 1674, 823, 15246, 15074, 15245])).
% 135.50/86.19 tff(15254,plain,(v84(constB98, bitIndex1) | (~v94(constB98)) | (~v123(constB98, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.19 tff(15255,plain,
% 135.50/86.19 (~v123(constB98, bitIndex1)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15254, 15244, 15074])).
% 135.50/86.19 tff(15256,assumption,(~v123(constB98, bitIndex1)), introduced(assumption)).
% 135.50/86.19 tff(15257,assumption,(v121(constB97, bitIndex1)), introduced(assumption)).
% 135.50/86.19 tff(15258,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex1)) | v123(constB98, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex1)) | v123(constB98, bitIndex1) | (~v121(constB97, bitIndex1)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15259,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex1)) | v123(constB98, bitIndex1) | (~v121(constB97, bitIndex1)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15260,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex1)) | v123(constB98, bitIndex1) | (~v121(constB97, bitIndex1))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 135.50/86.19 tff(15261,plain,
% 135.50/86.19 ($false),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15260, 1708, 823, 14884, 15257, 15256])).
% 135.50/86.19 tff(15262,plain,(v123(constB98, bitIndex1) | (~v121(constB97, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.19 tff(15263,plain,
% 135.50/86.19 (~v121(constB97, bitIndex1)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15262, 15255])).
% 135.50/86.19 tff(15264,assumption,(~v121(constB97, bitIndex1)), introduced(assumption)).
% 135.50/86.19 tff(15265,assumption,(v124(constB97, bitIndex1)), introduced(assumption)).
% 135.50/86.19 tff(15266,plain,
% 135.50/86.19 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex1)) | v121(constB97, bitIndex1) | (~v124(constB97, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex1)) | v121(constB97, bitIndex1) | (~v124(constB97, bitIndex1)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15267,plain,
% 135.50/86.19 ((v26(constB97) | v121(constB97, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1))) <=> (v26(constB97) | (~less_3(bitIndex1)) | v121(constB97, bitIndex1) | (~v124(constB97, bitIndex1)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15268,plain,
% 135.50/86.19 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex1)) | v121(constB97, bitIndex1) | (~v124(constB97, bitIndex1))))),
% 135.50/86.19 inference(monotonicity,[status(thm)],[15267])).
% 135.50/86.19 tff(15269,plain,
% 135.50/86.19 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex1)) | v121(constB97, bitIndex1) | (~v124(constB97, bitIndex1)))),
% 135.50/86.19 inference(transitivity,[status(thm)],[15268, 15266])).
% 135.50/86.19 tff(15270,plain,
% 135.50/86.19 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15271,plain,
% 135.50/86.19 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex1)) | v121(constB97, bitIndex1) | (~v124(constB97, bitIndex1))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15270, 15269])).
% 135.50/86.19 tff(15272,plain,
% 135.50/86.19 ($false),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15271, 1728, 823, 14996, 15265, 15264])).
% 135.50/86.19 tff(15273,plain,(v121(constB97, bitIndex1) | (~v124(constB97, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.19 tff(15274,plain,
% 135.50/86.19 (~v124(constB97, bitIndex1)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15273, 15263])).
% 135.50/86.19 tff(15275,assumption,(~v124(constB97, bitIndex1)), introduced(assumption)).
% 135.50/86.19 tff(15276,assumption,(v172(constB97)), introduced(assumption)).
% 135.50/86.19 tff(15277,plain,
% 135.50/86.19 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB97)) | v124(constB97, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB97)) | v124(constB97, bitIndex1))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15278,plain,
% 135.50/86.19 (((~v172(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB97)) | v124(constB97, bitIndex1))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15279,plain,
% 135.50/86.19 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB97)) | v124(constB97, bitIndex1)))),
% 135.50/86.19 inference(monotonicity,[status(thm)],[15278])).
% 135.50/86.19 tff(15280,plain,
% 135.50/86.19 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB97)) | v124(constB97, bitIndex1))),
% 135.50/86.19 inference(transitivity,[status(thm)],[15279, 15277])).
% 135.50/86.19 tff(15281,plain,
% 135.50/86.19 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b110(bitIndex1)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15282,plain,
% 135.50/86.19 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB97)) | v124(constB97, bitIndex1)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15281, 15280])).
% 135.50/86.19 tff(15283,plain,
% 135.50/86.19 ($false),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15282, 1801, 1798, 823, 15276, 15275])).
% 135.50/86.19 tff(15284,plain,(v124(constB97, bitIndex1) | (~v172(constB97))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.19 tff(15285,plain,
% 135.50/86.19 (~v172(constB97)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15284, 15274])).
% 135.50/86.19 tff(15286,assumption,(~v172(constB97)), introduced(assumption)).
% 135.50/86.19 tff(15287,assumption,(~v84(constB96, bitIndex0)), introduced(assumption)).
% 135.50/86.19 tff(15288,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB96, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB96, bitIndex0))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15289,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB96, bitIndex0))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15290,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex0)) | (~v84(constB97, bitIndex0)) | v84(constB96, bitIndex0)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15289, 15288])).
% 135.50/86.19 tff(15291,plain,
% 135.50/86.19 ($false),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15290, 805, 795, 15182, 15194, 15287, 14967])).
% 135.50/86.19 tff(15292,plain,((~v84(constB97, bitIndex0)) | v84(constB96, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.19 tff(15293,plain,
% 135.50/86.19 (~v84(constB97, bitIndex0)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15292, 15287])).
% 135.50/86.19 tff(15294,plain,
% 135.50/86.19 ($false),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[14949, 1047, 14923, 14881, 15178, 15286])).
% 135.50/86.19 tff(15295,plain,((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v172(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.19 tff(15296,plain,
% 135.50/86.19 (~v84(constB97, bitIndex2)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15295, 15293, 15178, 15286])).
% 135.50/86.19 tff(15297,assumption,(~v123(constB96, bitIndex1)), introduced(assumption)).
% 135.50/86.19 tff(15298,assumption,(~v84(constB96, bitIndex2)), introduced(assumption)).
% 135.50/86.19 tff(15299,assumption,(~v94(constB96)), introduced(assumption)).
% 135.50/86.19 tff(15300,assumption,(~v84(constB95, bitIndex1)), introduced(assumption)).
% 135.50/86.19 tff(15301,plain,
% 135.50/86.19 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15302,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_95_1')).
% 135.50/86.19 tff(15303,plain,
% 135.50/86.19 (nextState(constB95, constB96)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15302, 15301])).
% 135.50/86.19 tff(15304,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB96, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB96, bitIndex2))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15305,plain,
% 135.50/86.19 (((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB96, bitIndex2) | (~v84(constB95, bitIndex2))) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB96, bitIndex2))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15306,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB96, bitIndex2) | (~v84(constB95, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB96, bitIndex2)))),
% 135.50/86.19 inference(monotonicity,[status(thm)],[15305])).
% 135.50/86.19 tff(15307,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB96, bitIndex2) | (~v84(constB95, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB96, bitIndex2))),
% 135.50/86.19 inference(transitivity,[status(thm)],[15306, 15304])).
% 135.50/86.19 tff(15308,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB96, bitIndex2) | (~v84(constB95, bitIndex2)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15309,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB96, bitIndex2)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15308, 15307])).
% 135.50/86.19 tff(15310,plain,
% 135.50/86.19 (~v84(constB95, bitIndex2)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15309, 777, 767, 15303, 15299, 15298])).
% 135.50/86.19 tff(15311,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB96, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB96, bitIndex0))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15312,plain,
% 135.50/86.19 (((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v84(constB95, bitIndex0))) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB96, bitIndex0))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15313,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v84(constB95, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB96, bitIndex0)))),
% 135.50/86.19 inference(monotonicity,[status(thm)],[15312])).
% 135.50/86.19 tff(15314,plain,
% 135.50/86.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v84(constB95, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB96, bitIndex0))),
% 135.50/86.19 inference(transitivity,[status(thm)],[15313, 15311])).
% 135.50/86.19 tff(15315,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v84(constB95, bitIndex0)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15316,plain,
% 135.50/86.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB96, bitIndex0)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15315, 15314])).
% 135.50/86.19 tff(15317,plain,
% 135.50/86.19 (~v84(constB95, bitIndex0)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15316, 777, 795, 15303, 15299, 15287])).
% 135.50/86.19 tff(15318,plain,
% 135.50/86.19 ((~v1(constB95)) <=> (~v1(constB95))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15319,axiom,(~v1(constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_95_1_1')).
% 135.50/86.19 tff(15320,plain,
% 135.50/86.19 (~v1(constB95)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15319, 15318])).
% 135.50/86.19 tff(15321,plain,
% 135.50/86.19 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15322,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15323,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB95) | (~nextState(constB95, constB96)) | (~v98(constB96))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15322, 15321])).
% 135.50/86.19 tff(15324,plain,
% 135.50/86.19 (~v98(constB96)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15323, 541, 15303, 15320])).
% 135.50/86.19 tff(15325,plain,
% 135.50/86.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15326,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB95, constB96)) | v96(constB96) | v98(constB96))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15327,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB95, constB96)) | v96(constB96) | v98(constB96)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15326, 15325])).
% 135.50/86.19 tff(15328,plain,
% 135.50/86.19 (v96(constB96) | v98(constB96)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15327, 555, 15303])).
% 135.50/86.19 tff(15329,plain,
% 135.50/86.19 (v96(constB96)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15328, 15324])).
% 135.50/86.19 tff(15330,plain,
% 135.50/86.19 (v1(constB96) <=> v1(constB96)),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15331,axiom,(v1(constB96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_96_1')).
% 135.50/86.19 tff(15332,plain,
% 135.50/86.19 (v1(constB96)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15331, 15330])).
% 135.50/86.19 tff(15333,plain,
% 135.50/86.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15334,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15335,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB95, constB96)) | v95(constB96) | (~v96(constB96)) | (~v1(constB96))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 135.50/86.19 tff(15336,plain,
% 135.50/86.19 (v95(constB96) | (~v96(constB96))),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15335, 573, 15303, 15332])).
% 135.50/86.19 tff(15337,plain,
% 135.50/86.19 (v95(constB96)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15336, 15329])).
% 135.50/86.19 tff(15338,plain,
% 135.50/86.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15339,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15340,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB95, constB96)) | (~v95(constB96)) | (~v104(constB96)) | v94(constB96)),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15339, 15338])).
% 135.50/86.19 tff(15341,plain,
% 135.50/86.19 ((~v95(constB96)) | (~v104(constB96)) | v94(constB96)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15340, 588, 15303])).
% 135.50/86.19 tff(15342,plain,
% 135.50/86.19 ((~v104(constB96)) | v94(constB96)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15341, 15337])).
% 135.50/86.19 tff(15343,plain,
% 135.50/86.19 (~v104(constB96)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15342, 15299])).
% 135.50/86.19 tff(15344,plain,
% 135.50/86.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15345,plain,
% 135.50/86.19 (((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96)) <=> ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15346,plain,
% 135.50/86.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))))),
% 135.50/86.19 inference(monotonicity,[status(thm)],[15345])).
% 135.50/86.19 tff(15347,plain,
% 135.50/86.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95)))),
% 135.50/86.19 inference(transitivity,[status(thm)],[15346, 15344])).
% 135.50/86.19 tff(15348,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB95, constB96)) | (~v102(constB95)) | v104(constB96))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15349,plain,
% 135.50/86.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v102(constB95))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15348, 15347])).
% 135.50/86.19 tff(15350,plain,
% 135.50/86.19 (v104(constB96) | (~v102(constB95))),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15349, 604, 15303])).
% 135.50/86.19 tff(15351,plain,
% 135.50/86.19 (~v102(constB95)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15350, 15343])).
% 135.50/86.19 tff(15352,plain,
% 135.50/86.19 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB95) | (~v106(constB95)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB95) | (~v106(constB95)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15353,plain,
% 135.50/86.19 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB95) | (~v106(constB95)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15354,plain,
% 135.50/86.19 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB95) | (~v106(constB95))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15353, 15352])).
% 135.50/86.19 tff(15355,plain,
% 135.50/86.19 (~v106(constB95)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15354, 619, 15351])).
% 135.50/86.19 tff(15356,plain,
% 135.50/86.19 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB95) | (~v26(constB95)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB95) | (~v26(constB95)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15357,plain,
% 135.50/86.19 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB95) | (~v26(constB95)))),
% 135.50/86.19 inference(quant_inst,[status(thm)],[])).
% 135.50/86.19 tff(15358,plain,
% 135.50/86.19 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB95) | (~v26(constB95))),
% 135.50/86.19 inference(modus_ponens,[status(thm)],[15357, 15356])).
% 135.50/86.19 tff(15359,plain,
% 135.50/86.19 (~v26(constB95)),
% 135.50/86.19 inference(unit_resolution,[status(thm)],[15358, 630, 15351])).
% 135.50/86.19 tff(15360,plain,
% 135.50/86.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | v106(constB95) | (~v107(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15361,plain,
% 135.50/86.19 ((v26(constB95) | (~v107(constB95)) | v106(constB95)) <=> (v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 135.50/86.19 inference(rewrite,[status(thm)],[])).
% 135.50/86.19 tff(15362,plain,
% 135.50/86.19 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | v106(constB95) | (~v107(constB95))))),
% 135.50/86.20 inference(monotonicity,[status(thm)],[15361])).
% 135.50/86.20 tff(15363,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95)))),
% 135.50/86.20 inference(transitivity,[status(thm)],[15362, 15360])).
% 135.50/86.20 tff(15364,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB95) | (~v107(constB95)) | v106(constB95))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15365,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB95) | v106(constB95) | (~v107(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 135.50/86.20 tff(15366,plain,
% 135.50/86.20 (~v107(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15365, 644, 15359, 15355])).
% 135.50/86.20 tff(15367,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB95) | (~v108(constB95)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB95) | (~v108(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15368,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB95) | (~v108(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15369,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB95) | (~v108(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 135.50/86.20 tff(15370,plain,
% 135.50/86.20 (~v108(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15369, 658, 15366])).
% 135.50/86.20 tff(15371,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB95) | (~v109(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB95) | (~v109(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15372,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB95) | (~v109(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15373,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB95) | (~v109(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 135.50/86.20 tff(15374,plain,
% 135.50/86.20 (~v109(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15373, 669, 15370])).
% 135.50/86.20 tff(15375,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB95) | (~v110(constB95)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB95) | (~v110(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15376,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB95) | (~v110(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15377,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB95) | (~v110(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15376, 15375])).
% 135.50/86.20 tff(15378,plain,
% 135.50/86.20 (~v110(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15377, 680, 15374])).
% 135.50/86.20 tff(15379,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB95) | (~v111(constB95)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB95) | (~v111(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15380,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB95) | (~v111(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15381,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB95) | (~v111(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15380, 15379])).
% 135.50/86.20 tff(15382,plain,
% 135.50/86.20 (~v111(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15381, 691, 15378])).
% 135.50/86.20 tff(15383,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB95) | (~v112(constB95)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB95) | (~v112(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15384,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB95) | (~v112(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15385,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB95) | (~v112(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15384, 15383])).
% 135.50/86.20 tff(15386,plain,
% 135.50/86.20 (~v112(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15385, 702, 15382])).
% 135.50/86.20 tff(15387,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB95) | (~v113(constB95)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB95) | (~v113(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15388,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB95) | (~v113(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15389,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB95) | (~v113(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15388, 15387])).
% 135.50/86.20 tff(15390,plain,
% 135.50/86.20 (~v113(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15389, 969, 15386])).
% 135.50/86.20 tff(15391,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB95) | v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB95) | v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15392,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB95) | v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15393,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB95) | v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2)),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15392, 15391])).
% 135.50/86.20 tff(15394,plain,
% 135.50/86.20 (v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15393, 983, 15390])).
% 135.50/86.20 tff(15395,plain,
% 135.50/86.20 ($false),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15394, 15317, 15310, 15300])).
% 135.50/86.20 tff(15396,plain,(v84(constB95, bitIndex1) | v94(constB96) | v84(constB96, bitIndex0) | v84(constB96, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.20 tff(15397,plain,
% 135.50/86.20 (v84(constB95, bitIndex1)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15396, 15298, 15287, 15299])).
% 135.50/86.20 tff(15398,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB95) | (~v115(constB95)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB95) | (~v115(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15399,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB95) | (~v115(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15400,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB95) | (~v115(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 135.50/86.20 tff(15401,plain,
% 135.50/86.20 (~v115(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15400, 945, 15382])).
% 135.50/86.20 tff(15402,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | v115(constB95))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | v115(constB95))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15403,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | v115(constB95))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15404,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | v115(constB95)),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 135.50/86.20 tff(15405,plain,
% 135.50/86.20 (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15404, 1095, 15401])).
% 135.50/86.20 tff(15406,plain,
% 135.50/86.20 ($false),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15405, 15310, 15317, 15397])).
% 135.50/86.20 tff(15407,plain,(v84(constB96, bitIndex2) | v94(constB96) | v84(constB96, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.20 tff(15408,plain,
% 135.50/86.20 (v84(constB96, bitIndex2)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15407, 15287, 15299])).
% 135.50/86.20 tff(15409,plain,
% 135.50/86.20 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB96, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB96, bitIndex2)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15410,plain,
% 135.50/86.20 (((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB96, bitIndex2)) | v84(constB95, bitIndex2)) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB96, bitIndex2)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15411,plain,
% 135.50/86.20 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB96, bitIndex2)) | v84(constB95, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB96, bitIndex2))))),
% 135.50/86.20 inference(monotonicity,[status(thm)],[15410])).
% 135.50/86.20 tff(15412,plain,
% 135.50/86.20 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB96, bitIndex2)) | v84(constB95, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB96, bitIndex2)))),
% 135.50/86.20 inference(transitivity,[status(thm)],[15411, 15409])).
% 135.50/86.20 tff(15413,plain,
% 135.50/86.20 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | (~v84(constB96, bitIndex2)) | v84(constB95, bitIndex2))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15414,plain,
% 135.50/86.20 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB96, bitIndex2))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 135.50/86.20 tff(15415,plain,
% 135.50/86.20 (v84(constB95, bitIndex2)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15414, 805, 767, 15303, 15299, 15408])).
% 135.50/86.20 tff(15416,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB95) | (~v172(constB95)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB95) | (~v172(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15417,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB95) | (~v172(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15418,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB95) | (~v172(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15417, 15416])).
% 135.50/86.20 tff(15419,plain,
% 135.50/86.20 (~v172(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15418, 1033, 15374])).
% 135.50/86.20 tff(15420,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v172(constB95))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v172(constB95))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15421,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v172(constB95))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15422,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v172(constB95)),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15421, 15420])).
% 135.50/86.20 tff(15423,plain,
% 135.50/86.20 (v84(constB95, bitIndex0) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2))),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15422, 1047, 15419])).
% 135.50/86.20 tff(15424,plain,
% 135.50/86.20 (v84(constB95, bitIndex1)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15423, 15317, 15415])).
% 135.50/86.20 tff(15425,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB95) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB95) | (~v119(constB95)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15426,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB95) | (~v119(constB95)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15427,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB95) | (~v119(constB95))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15426, 15425])).
% 135.50/86.20 tff(15428,plain,
% 135.50/86.20 (~v119(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15427, 1927, 15366])).
% 135.50/86.20 tff(15429,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB95) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB95) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15430,plain,
% 135.50/86.20 ((v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95)) <=> (v119(constB95) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15431,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB95) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2))))),
% 135.50/86.20 inference(monotonicity,[status(thm)],[15430])).
% 135.50/86.20 tff(15432,plain,
% 135.50/86.20 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB95) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)))),
% 135.50/86.20 inference(transitivity,[status(thm)],[15431, 15429])).
% 135.50/86.20 tff(15433,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2)) | v119(constB95))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15434,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB95) | v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15433, 15432])).
% 135.50/86.20 tff(15435,plain,
% 135.50/86.20 (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex1)) | (~v84(constB95, bitIndex2))),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15434, 1910, 15428])).
% 135.50/86.20 tff(15436,plain,
% 135.50/86.20 ($false),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15435, 15424, 15317, 15415])).
% 135.50/86.20 tff(15437,plain,(v84(constB96, bitIndex0) | v94(constB96)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.20 tff(15438,plain,
% 135.50/86.20 (v94(constB96)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15437, 15287])).
% 135.50/86.20 tff(15439,plain,
% 135.50/86.20 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v84(constB96, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v84(constB96, bitIndex2))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15440,plain,
% 135.50/86.20 (((~less_3(bitIndex2)) | (~v94(constB96)) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2))) <=> ((~v94(constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v84(constB96, bitIndex2))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15441,plain,
% 135.50/86.20 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB96)) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v84(constB96, bitIndex2)))),
% 135.50/86.20 inference(monotonicity,[status(thm)],[15440])).
% 135.50/86.20 tff(15442,plain,
% 135.50/86.20 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB96)) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v84(constB96, bitIndex2))),
% 135.50/86.20 inference(transitivity,[status(thm)],[15441, 15439])).
% 135.50/86.20 tff(15443,plain,
% 135.50/86.20 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB96)) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15444,plain,
% 135.50/86.20 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v84(constB96, bitIndex2)),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15443, 15442])).
% 135.50/86.20 tff(15445,plain,
% 135.50/86.20 (~v123(constB96, bitIndex2)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15444, 1674, 767, 15438, 15298])).
% 135.50/86.20 tff(15446,plain,
% 135.50/86.20 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex2)) | v123(constB96, bitIndex2) | (~v121(constB95, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex2)) | v123(constB96, bitIndex2) | (~v121(constB95, bitIndex2)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15447,plain,
% 135.50/86.20 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex2)) | v123(constB96, bitIndex2) | (~v121(constB95, bitIndex2)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15448,plain,
% 135.50/86.20 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex2)) | v123(constB96, bitIndex2) | (~v121(constB95, bitIndex2))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15447, 15446])).
% 135.50/86.20 tff(15449,plain,
% 135.50/86.20 (~v121(constB95, bitIndex2)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15448, 1708, 767, 15303, 15445])).
% 135.50/86.20 tff(15450,assumption,(v26(constB95)), introduced(assumption)).
% 135.50/86.20 tff(15451,plain,
% 135.50/86.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15452,plain,
% 135.50/86.20 ($false),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15451, 1172, 15450])).
% 135.50/86.20 tff(15453,plain,(~v26(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.20 tff(15454,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex2)) | v121(constB95, bitIndex2) | (~v124(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex2)) | v121(constB95, bitIndex2) | (~v124(constB95, bitIndex2)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15455,plain,
% 135.50/86.20 ((v26(constB95) | v121(constB95, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2))) <=> (v26(constB95) | (~less_3(bitIndex2)) | v121(constB95, bitIndex2) | (~v124(constB95, bitIndex2)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15456,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex2)) | v121(constB95, bitIndex2) | (~v124(constB95, bitIndex2))))),
% 135.50/86.20 inference(monotonicity,[status(thm)],[15455])).
% 135.50/86.20 tff(15457,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex2)) | v121(constB95, bitIndex2) | (~v124(constB95, bitIndex2)))),
% 135.50/86.20 inference(transitivity,[status(thm)],[15456, 15454])).
% 135.50/86.20 tff(15458,plain,
% 135.50/86.20 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15459,plain,
% 135.50/86.20 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex2)) | v121(constB95, bitIndex2) | (~v124(constB95, bitIndex2))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15458, 15457])).
% 135.50/86.20 tff(15460,plain,
% 135.50/86.20 (~v124(constB95, bitIndex2)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15459, 1728, 767, 15453, 15449])).
% 135.50/86.20 tff(15461,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15462,plain,
% 135.50/86.20 (((~v113(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v113(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15463,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2)))),
% 135.50/86.20 inference(monotonicity,[status(thm)],[15462])).
% 135.50/86.20 tff(15464,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2))),
% 135.50/86.20 inference(transitivity,[status(thm)],[15463, 15461])).
% 135.50/86.20 tff(15465,plain,
% 135.50/86.20 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b100(bitIndex2)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15466,plain,
% 135.50/86.20 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2)),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 135.50/86.20 tff(15467,plain,
% 135.50/86.20 (~v113(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15466, 1772, 1838, 767, 15460])).
% 135.50/86.20 tff(15468,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15469,plain,
% 135.50/86.20 (((~v116(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v116(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15470,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2)))),
% 135.50/86.20 inference(monotonicity,[status(thm)],[15469])).
% 135.50/86.20 tff(15471,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2))),
% 135.50/86.20 inference(transitivity,[status(thm)],[15470, 15468])).
% 135.50/86.20 tff(15472,plain,
% 135.50/86.20 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b100(bitIndex2)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15473,plain,
% 135.50/86.20 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB95)) | (~b100(bitIndex2)) | v124(constB95, bitIndex2)),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 135.50/86.20 tff(15474,plain,
% 135.50/86.20 (~v116(constB95)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15473, 1772, 1769, 767, 15460])).
% 135.50/86.20 tff(15475,plain,
% 135.50/86.20 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex1)) | v123(constB96, bitIndex1) | (~v121(constB95, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex1)) | v123(constB96, bitIndex1) | (~v121(constB95, bitIndex1)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15476,plain,
% 135.50/86.20 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex1)) | v123(constB96, bitIndex1) | (~v121(constB95, bitIndex1)))),
% 135.50/86.20 inference(quant_inst,[status(thm)],[])).
% 135.50/86.20 tff(15477,plain,
% 135.50/86.20 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex1)) | v123(constB96, bitIndex1) | (~v121(constB95, bitIndex1))),
% 135.50/86.20 inference(modus_ponens,[status(thm)],[15476, 15475])).
% 135.50/86.20 tff(15478,plain,
% 135.50/86.20 (~v121(constB95, bitIndex1)),
% 135.50/86.20 inference(unit_resolution,[status(thm)],[15477, 1708, 823, 15303, 15297])).
% 135.50/86.20 tff(15479,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex1)) | v121(constB95, bitIndex1) | (~v124(constB95, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex1)) | v121(constB95, bitIndex1) | (~v124(constB95, bitIndex1)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15480,plain,
% 135.50/86.20 ((v26(constB95) | v121(constB95, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1))) <=> (v26(constB95) | (~less_3(bitIndex1)) | v121(constB95, bitIndex1) | (~v124(constB95, bitIndex1)))),
% 135.50/86.20 inference(rewrite,[status(thm)],[])).
% 135.50/86.20 tff(15481,plain,
% 135.50/86.20 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex1)) | v121(constB95, bitIndex1) | (~v124(constB95, bitIndex1))))),
% 135.50/86.20 inference(monotonicity,[status(thm)],[15480])).
% 135.50/86.21 tff(15482,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex1)) | v121(constB95, bitIndex1) | (~v124(constB95, bitIndex1)))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15481, 15479])).
% 135.50/86.21 tff(15483,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15484,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex1)) | v121(constB95, bitIndex1) | (~v124(constB95, bitIndex1))),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15483, 15482])).
% 135.50/86.21 tff(15485,plain,
% 135.50/86.21 (~v124(constB95, bitIndex1)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15484, 1728, 823, 15453, 15478])).
% 135.50/86.21 tff(15486,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15487,plain,
% 135.50/86.21 (((~v115(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15488,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1)))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15487])).
% 135.50/86.21 tff(15489,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15488, 15486])).
% 135.50/86.21 tff(15490,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b011(bitIndex1)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15491,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1)),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 135.50/86.21 tff(15492,plain,
% 135.50/86.21 (~v115(constB95)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15491, 3033, 1193, 823, 15485])).
% 135.50/86.21 tff(15493,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB95)) | (~b110(bitIndex1)) | v124(constB95, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB95)) | (~b110(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15494,plain,
% 135.50/86.21 (((~v172(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v172(constB95)) | (~b110(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15495,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB95)) | (~b110(bitIndex1)) | v124(constB95, bitIndex1)))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15494])).
% 135.50/86.21 tff(15496,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB95)) | (~b110(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15495, 15493])).
% 135.50/86.21 tff(15497,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b110(bitIndex1)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15498,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB95)) | (~b110(bitIndex1)) | v124(constB95, bitIndex1)),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15497, 15496])).
% 135.50/86.21 tff(15499,plain,
% 135.50/86.21 (~v172(constB95)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15498, 1801, 1798, 823, 15485])).
% 135.50/86.21 tff(15500,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15501,plain,
% 135.50/86.21 (((~v118(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v118(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15502,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1)))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15501])).
% 135.50/86.21 tff(15503,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15502, 15500])).
% 135.50/86.21 tff(15504,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b011(bitIndex1)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15505,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB95)) | (~b011(bitIndex1)) | v124(constB95, bitIndex1)),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15504, 15503])).
% 135.50/86.21 tff(15506,plain,
% 135.50/86.21 (~v118(constB95)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15505, 3033, 1145, 823, 15485])).
% 135.50/86.21 tff(15507,plain,
% 135.50/86.21 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB96)) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15508,plain,
% 135.50/86.21 (((~less_3(bitIndex0)) | (~v94(constB96)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0))) <=> ((~v94(constB96)) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15509,plain,
% 135.50/86.21 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB96)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB96)) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0))))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15508])).
% 135.50/86.21 tff(15510,plain,
% 135.50/86.21 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB96)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15509, 15507])).
% 135.50/86.21 tff(15511,plain,
% 135.50/86.21 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB96)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15512,plain,
% 135.50/86.21 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB96)) | (~less_3(bitIndex0)) | v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0))),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15511, 15510])).
% 135.50/86.21 tff(15513,plain,
% 135.50/86.21 (~v123(constB96, bitIndex0)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15512, 1674, 795, 15438, 15287])).
% 135.50/86.21 tff(15514,plain,
% 135.50/86.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex0)) | v123(constB96, bitIndex0) | (~v121(constB95, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex0)) | v123(constB96, bitIndex0) | (~v121(constB95, bitIndex0)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15515,plain,
% 135.50/86.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex0)) | v123(constB96, bitIndex0) | (~v121(constB95, bitIndex0)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15516,plain,
% 135.50/86.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex0)) | v123(constB96, bitIndex0) | (~v121(constB95, bitIndex0))),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15515, 15514])).
% 135.50/86.21 tff(15517,plain,
% 135.50/86.21 (~v121(constB95, bitIndex0)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15516, 1708, 795, 15303, 15513])).
% 135.50/86.21 tff(15518,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex0)) | v121(constB95, bitIndex0) | (~v124(constB95, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex0)) | v121(constB95, bitIndex0) | (~v124(constB95, bitIndex0)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15519,plain,
% 135.50/86.21 ((v26(constB95) | v121(constB95, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0))) <=> (v26(constB95) | (~less_3(bitIndex0)) | v121(constB95, bitIndex0) | (~v124(constB95, bitIndex0)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15520,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex0)) | v121(constB95, bitIndex0) | (~v124(constB95, bitIndex0))))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15519])).
% 135.50/86.21 tff(15521,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex0)) | v121(constB95, bitIndex0) | (~v124(constB95, bitIndex0)))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15520, 15518])).
% 135.50/86.21 tff(15522,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB95) | v121(constB95, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15523,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex0)) | v121(constB95, bitIndex0) | (~v124(constB95, bitIndex0))),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 135.50/86.21 tff(15524,plain,
% 135.50/86.21 (~v124(constB95, bitIndex0)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15523, 1728, 795, 15453, 15517])).
% 135.50/86.21 tff(15525,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB95)) | (~b010(bitIndex1)) | v124(constB95, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB95)) | (~b010(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15526,plain,
% 135.50/86.21 (((~v145(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB95)) | (~b010(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15527,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB95)) | (~b010(bitIndex1)) | v124(constB95, bitIndex1)))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15526])).
% 135.50/86.21 tff(15528,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB95)) | (~b010(bitIndex1)) | v124(constB95, bitIndex1))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15527, 15525])).
% 135.50/86.21 tff(15529,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB95)) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~b010(bitIndex1)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15530,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB95)) | (~b010(bitIndex1)) | v124(constB95, bitIndex1)),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15529, 15528])).
% 135.50/86.21 tff(15531,plain,
% 135.50/86.21 (~v145(constB95)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15530, 1821, 1818, 823, 15485])).
% 135.50/86.21 tff(15532,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~b001(bitIndex0)) | v124(constB95, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~b001(bitIndex0)) | v124(constB95, bitIndex0))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15533,plain,
% 135.50/86.21 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~b001(bitIndex0)) | v124(constB95, bitIndex0))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15534,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~b001(bitIndex0)) | v124(constB95, bitIndex0)))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15533])).
% 135.50/86.21 tff(15535,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~b001(bitIndex0)) | v124(constB95, bitIndex0))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15534, 15532])).
% 135.50/86.21 tff(15536,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b001(bitIndex0)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15537,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~b001(bitIndex0)) | v124(constB95, bitIndex0)),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15536, 15535])).
% 135.50/86.21 tff(15538,plain,
% 135.50/86.21 ($false),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15537, 1213, 1210, 795, 15531, 15524, 15506, 15499, 15492, 15474, 15467])).
% 135.50/86.21 tff(15539,plain,(v123(constB96, bitIndex1) | v84(constB96, bitIndex0) | v84(constB96, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.21 tff(15540,plain,
% 135.50/86.21 (v84(constB96, bitIndex2)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15539, 15287, 15297])).
% 135.50/86.21 tff(15541,plain,
% 135.50/86.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB96, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB96, bitIndex2)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15542,plain,
% 135.50/86.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB96, bitIndex2)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15543,plain,
% 135.50/86.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB96, bitIndex2))),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15542, 15541])).
% 135.50/86.21 tff(15544,plain,
% 135.50/86.21 ($false),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15543, 777, 767, 15182, 15194, 15540, 15296])).
% 135.50/86.21 tff(15545,plain,(v84(constB96, bitIndex0) | v84(constB97, bitIndex1) | v172(constB97) | v123(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.21 tff(15546,plain,
% 135.50/86.21 (v84(constB96, bitIndex0)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15545, 15285, 15178, 15223])).
% 135.50/86.21 tff(15547,assumption,(v84(constB96, bitIndex0)), introduced(assumption)).
% 135.50/86.21 tff(15548,plain,
% 135.50/86.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB96, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB96, bitIndex0)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15549,plain,
% 135.50/86.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB96, bitIndex0)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15550,plain,
% 135.50/86.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB96, bitIndex0))),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15549, 15548])).
% 135.50/86.21 tff(15551,plain,
% 135.50/86.21 ($false),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15550, 777, 795, 15182, 15194, 15547, 14923])).
% 135.50/86.21 tff(15552,plain,(v84(constB97, bitIndex0) | (~v84(constB96, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.21 tff(15553,plain,
% 135.50/86.21 (v84(constB97, bitIndex0)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15552, 15546])).
% 135.50/86.21 tff(15554,plain,
% 135.50/86.21 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB97, bitIndex1) | (~v116(constB97)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB97, bitIndex1) | (~v116(constB97)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15555,plain,
% 135.50/86.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB97, bitIndex1) | (~v116(constB97)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15556,plain,
% 135.50/86.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB97, bitIndex1) | (~v116(constB97))),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 135.50/86.21 tff(15557,plain,
% 135.50/86.21 (~v116(constB97)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15556, 1268, 15178])).
% 135.50/86.21 tff(15558,plain,
% 135.50/86.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v113(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB97, bitIndex0)) | (~v113(constB97)))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15559,plain,
% 135.50/86.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v113(constB97)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15560,plain,
% 135.50/86.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB97, bitIndex0)) | (~v113(constB97))),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15559, 15558])).
% 135.50/86.21 tff(15561,plain,
% 135.50/86.21 (~v113(constB97)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15560, 2764, 15553])).
% 135.50/86.21 tff(15562,assumption,(v115(constB97)), introduced(assumption)).
% 135.50/86.21 tff(15563,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB97)) | v124(constB97, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB97)) | v124(constB97, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15564,plain,
% 135.50/86.21 (((~v115(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB97)) | v124(constB97, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15565,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB97)) | v124(constB97, bitIndex1)))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15564])).
% 135.50/86.21 tff(15566,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB97)) | v124(constB97, bitIndex1))),
% 135.50/86.21 inference(transitivity,[status(thm)],[15565, 15563])).
% 135.50/86.21 tff(15567,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b011(bitIndex1)))),
% 135.50/86.21 inference(quant_inst,[status(thm)],[])).
% 135.50/86.21 tff(15568,plain,
% 135.50/86.21 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB97)) | v124(constB97, bitIndex1)),
% 135.50/86.21 inference(modus_ponens,[status(thm)],[15567, 15566])).
% 135.50/86.21 tff(15569,plain,
% 135.50/86.21 ($false),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15568, 3033, 1193, 823, 15562, 15275])).
% 135.50/86.21 tff(15570,plain,(v124(constB97, bitIndex1) | (~v115(constB97))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.21 tff(15571,plain,
% 135.50/86.21 (~v115(constB97)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[15570, 15275])).
% 135.50/86.21 tff(15572,plain,
% 135.50/86.21 (v84(constB97, bitIndex0)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[14941, 15571, 14929, 14928])).
% 135.50/86.21 tff(15573,plain,
% 135.50/86.21 (v145(constB97)),
% 135.50/86.21 inference(unit_resolution,[status(thm)],[14985, 15572, 14929, 14966])).
% 135.50/86.21 tff(15574,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB97)) | (~b010(bitIndex1)) | v124(constB97, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB97)) | (~b010(bitIndex1)) | v124(constB97, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15575,plain,
% 135.50/86.21 (((~v145(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB97)) | (~b010(bitIndex1)) | v124(constB97, bitIndex1))),
% 135.50/86.21 inference(rewrite,[status(thm)],[])).
% 135.50/86.21 tff(15576,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB97)) | (~b010(bitIndex1)) | v124(constB97, bitIndex1)))),
% 135.50/86.21 inference(monotonicity,[status(thm)],[15575])).
% 135.50/86.21 tff(15577,plain,
% 135.50/86.21 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB97)) | (~b010(bitIndex1)) | v124(constB97, bitIndex1))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15576, 15574])).
% 135.50/86.22 tff(15578,plain,
% 135.50/86.22 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB97)) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~b010(bitIndex1)))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15579,plain,
% 135.50/86.22 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB97)) | (~b010(bitIndex1)) | v124(constB97, bitIndex1)),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15578, 15577])).
% 135.50/86.22 tff(15580,plain,
% 135.50/86.22 ($false),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15579, 1821, 1818, 823, 15573, 15275])).
% 135.50/86.22 tff(15581,plain,(v124(constB97, bitIndex1) | v84(constB97, bitIndex2) | v116(constB97) | v113(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.22 tff(15582,plain,
% 135.50/86.22 (v84(constB97, bitIndex2)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15581, 15561, 15557, 15274])).
% 135.50/86.22 tff(15583,plain,
% 135.50/86.22 (v118(constB97)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15233, 15582, 15178, 15553])).
% 135.50/86.22 tff(15584,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB98)) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB98)) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15585,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB98)) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15586,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB98)) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2)),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 135.50/86.22 tff(15587,plain,
% 135.50/86.22 ((~v94(constB98)) | v123(constB98, bitIndex2)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15586, 1344, 767, 15045])).
% 135.50/86.22 tff(15588,plain,
% 135.50/86.22 (v123(constB98, bitIndex2)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15587, 15244])).
% 135.50/86.22 tff(15589,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex2)) | (~v123(constB98, bitIndex2)) | v121(constB97, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex2)) | (~v123(constB98, bitIndex2)) | v121(constB97, bitIndex2))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15590,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex2)) | (~v123(constB98, bitIndex2)) | v121(constB97, bitIndex2))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15591,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex2)) | (~v123(constB98, bitIndex2)) | v121(constB97, bitIndex2)),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15590, 15589])).
% 135.50/86.22 tff(15592,plain,
% 135.50/86.22 (v121(constB97, bitIndex2)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15591, 1362, 767, 14884, 15588])).
% 135.50/86.22 tff(15593,plain,
% 135.50/86.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex2)) | (~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex2)) | (~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15594,plain,
% 135.50/86.22 ((v26(constB97) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2))) <=> (v26(constB97) | (~less_3(bitIndex2)) | (~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15595,plain,
% 135.50/86.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex2)) | (~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15594])).
% 135.50/86.22 tff(15596,plain,
% 135.50/86.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex2)) | (~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15595, 15593])).
% 135.50/86.22 tff(15597,plain,
% 135.50/86.22 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~v121(constB97, bitIndex2)))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15598,plain,
% 135.50/86.22 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex2)) | (~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 135.50/86.22 tff(15599,plain,
% 135.50/86.22 (v124(constB97, bitIndex2)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15598, 1380, 767, 14996, 15592])).
% 135.50/86.22 tff(15600,plain,
% 135.50/86.22 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB97)) | (~v124(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15601,plain,
% 135.50/86.22 (((~v118(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15602,plain,
% 135.50/86.22 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB97)) | (~v124(constB97, bitIndex2))))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15601])).
% 135.50/86.22 tff(15603,plain,
% 135.50/86.22 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15602, 15600])).
% 135.50/86.22 tff(15604,plain,
% 135.50/86.22 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b011(bitIndex2))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15605,plain,
% 135.50/86.22 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB97)) | (~v124(constB97, bitIndex2))),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15604, 15603])).
% 135.50/86.22 tff(15606,plain,
% 135.50/86.22 ($false),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15605, 2030, 2027, 767, 15599, 15583])).
% 135.50/86.22 tff(15607,plain,(v84(constB97, bitIndex1) | (~v84(constB98, bitIndex2)) | v84(constB98, bitIndex1) | (~v94(constB96))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.22 tff(15608,plain,
% 135.50/86.22 (~v94(constB96)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15607, 15177, 15044, 15210])).
% 135.50/86.22 tff(15609,assumption,(v84(constB95, bitIndex1)), introduced(assumption)).
% 135.50/86.22 tff(15610,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB96, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB96, bitIndex1))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15611,plain,
% 135.50/86.22 (((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB96, bitIndex1) | (~v84(constB95, bitIndex1))) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB96, bitIndex1))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15612,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB96, bitIndex1) | (~v84(constB95, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB96, bitIndex1)))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15611])).
% 135.50/86.22 tff(15613,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB96, bitIndex1) | (~v84(constB95, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB96, bitIndex1))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15612, 15610])).
% 135.50/86.22 tff(15614,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB96, bitIndex1) | (~v84(constB95, bitIndex1)))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15615,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB96, bitIndex1)),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 135.50/86.22 tff(15616,plain,
% 135.50/86.22 ($false),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15615, 777, 823, 15303, 15299, 15214, 15609])).
% 135.50/86.22 tff(15617,plain,(v84(constB96, bitIndex1) | v94(constB96) | (~v84(constB95, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.22 tff(15618,plain,
% 135.50/86.22 (~v84(constB95, bitIndex1)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15617, 15299, 15214])).
% 135.50/86.22 tff(15619,assumption,(v84(constB94, bitIndex1)), introduced(assumption)).
% 135.50/86.22 tff(15620,plain,
% 135.50/86.22 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15621,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_94_1')).
% 135.50/86.22 tff(15622,plain,
% 135.50/86.22 (nextState(constB94, constB95)),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15621, 15620])).
% 135.50/86.22 tff(15623,plain,
% 135.50/86.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15624,plain,
% 135.50/86.22 (((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95)) <=> (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15625,plain,
% 135.50/86.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15624])).
% 135.50/86.22 tff(15626,plain,
% 135.50/86.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95)))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15625, 15623])).
% 135.50/86.22 tff(15627,plain,
% 135.50/86.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB94, constB95)) | (~v95(constB95)) | v1(constB95))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15628,plain,
% 135.50/86.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB95) | (~nextState(constB94, constB95)) | (~v95(constB95))),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15627, 15626])).
% 135.50/86.22 tff(15629,plain,
% 135.50/86.22 (~v95(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15628, 742, 15622, 15320])).
% 135.50/86.22 tff(15630,plain,
% 135.50/86.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15631,plain,
% 135.50/86.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95)))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15632,plain,
% 135.50/86.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB94, constB95)) | v95(constB95) | (~v94(constB95))),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 135.50/86.22 tff(15633,plain,
% 135.50/86.22 (v95(constB95) | (~v94(constB95))),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15632, 759, 15622])).
% 135.50/86.22 tff(15634,plain,
% 135.50/86.22 (~v94(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15633, 15629])).
% 135.50/86.22 tff(15635,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB95, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB95, bitIndex1))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15636,plain,
% 135.50/86.22 (((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB94, bitIndex1))) <=> ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB95, bitIndex1))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15637,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB94, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB95, bitIndex1)))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15636])).
% 135.50/86.22 tff(15638,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB94, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB95, bitIndex1))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15637, 15635])).
% 135.50/86.22 tff(15639,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB94, bitIndex1)))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15640,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB95, bitIndex1)),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15639, 15638])).
% 135.50/86.22 tff(15641,plain,
% 135.50/86.22 ($false),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15640, 777, 823, 15622, 15634, 15619, 15300])).
% 135.50/86.22 tff(15642,plain,(v84(constB95, bitIndex1) | (~v84(constB94, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.22 tff(15643,plain,
% 135.50/86.22 (~v84(constB94, bitIndex1)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15642, 15618])).
% 135.50/86.22 tff(15644,assumption,(~v84(constB95, bitIndex2)), introduced(assumption)).
% 135.50/86.22 tff(15645,plain,
% 135.50/86.22 (v106(constB95) | (~v107(constB95))),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15365, 644, 15453])).
% 135.50/86.22 tff(15646,plain,
% 135.50/86.22 (~v107(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15645, 15355])).
% 135.50/86.22 tff(15647,plain,
% 135.50/86.22 (~v108(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15369, 658, 15646])).
% 135.50/86.22 tff(15648,plain,
% 135.50/86.22 (~v109(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15373, 669, 15647])).
% 135.50/86.22 tff(15649,plain,
% 135.50/86.22 (~v110(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15377, 680, 15648])).
% 135.50/86.22 tff(15650,plain,
% 135.50/86.22 (~v111(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15381, 691, 15649])).
% 135.50/86.22 tff(15651,plain,
% 135.50/86.22 (~v112(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15385, 702, 15650])).
% 135.50/86.22 tff(15652,plain,
% 135.50/86.22 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB95) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB95) | (~v145(constB95)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15653,plain,
% 135.50/86.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB95) | (~v145(constB95)))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15654,plain,
% 135.50/86.22 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB95) | (~v145(constB95))),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15653, 15652])).
% 135.50/86.22 tff(15655,plain,
% 135.50/86.22 (~v145(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15654, 713, 15651])).
% 135.50/86.22 tff(15656,plain,
% 135.50/86.22 (v84(constB96, bitIndex0)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15437, 15299])).
% 135.50/86.22 tff(15657,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB96, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB96, bitIndex0)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15658,plain,
% 135.50/86.22 (((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB96, bitIndex0)) | v84(constB95, bitIndex0)) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB96, bitIndex0)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15659,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB96, bitIndex0)) | v84(constB95, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB96, bitIndex0))))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15658])).
% 135.50/86.22 tff(15660,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB96, bitIndex0)) | v84(constB95, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB96, bitIndex0)))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15659, 15657])).
% 135.50/86.22 tff(15661,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | (~v84(constB96, bitIndex0)) | v84(constB95, bitIndex0))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15662,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB96, bitIndex0))),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 135.50/86.22 tff(15663,plain,
% 135.50/86.22 (v84(constB95, bitIndex0)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15662, 805, 795, 15303, 15299, 15656])).
% 135.50/86.22 tff(15664,assumption,(~v145(constB95)), introduced(assumption)).
% 135.50/86.22 tff(15665,plain,
% 135.50/86.22 (v94(constB96) | (~v84(constB95, bitIndex1))),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15615, 777, 823, 15303, 15214])).
% 135.50/86.22 tff(15666,plain,
% 135.50/86.22 (~v84(constB95, bitIndex1)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15665, 15299])).
% 135.50/86.22 tff(15667,plain,
% 135.50/86.22 (v94(constB96) | v84(constB95, bitIndex0)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15662, 805, 795, 15303, 15547])).
% 135.50/86.22 tff(15668,plain,
% 135.50/86.22 (v84(constB95, bitIndex0)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15667, 15299])).
% 135.50/86.22 tff(15669,plain,
% 135.50/86.22 (v94(constB96) | (~v84(constB95, bitIndex2))),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15309, 777, 767, 15303, 15298])).
% 135.50/86.22 tff(15670,plain,
% 135.50/86.22 (~v84(constB95, bitIndex2)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15669, 15299])).
% 135.50/86.22 tff(15671,plain,
% 135.50/86.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v145(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v145(constB95))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15672,plain,
% 135.50/86.22 (((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | v145(constB95)) <=> (v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v145(constB95))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15673,plain,
% 135.50/86.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | v145(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v145(constB95)))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15672])).
% 135.50/86.22 tff(15674,plain,
% 135.50/86.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | v145(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v145(constB95))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15673, 15671])).
% 135.50/86.22 tff(15675,plain,
% 135.50/86.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | v145(constB95))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15676,plain,
% 135.50/86.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v145(constB95)),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15675, 15674])).
% 135.50/86.22 tff(15677,plain,
% 135.50/86.22 (v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0))),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15676, 865, 15664])).
% 135.50/86.22 tff(15678,plain,
% 135.50/86.22 ($false),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15677, 15670, 15668, 15666])).
% 135.50/86.22 tff(15679,plain,(v94(constB96) | v145(constB95) | v84(constB96, bitIndex1) | v84(constB96, bitIndex2) | (~v84(constB96, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.22 tff(15680,plain,
% 135.50/86.22 (v84(constB96, bitIndex1)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15679, 15298, 15299, 15656, 15664])).
% 135.50/86.22 tff(15681,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB96, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB96, bitIndex1)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15682,plain,
% 135.50/86.22 (((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB96, bitIndex1)) | v84(constB95, bitIndex1)) <=> ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB96, bitIndex1)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15683,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB96, bitIndex1)) | v84(constB95, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB96, bitIndex1))))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15682])).
% 135.50/86.22 tff(15684,plain,
% 135.50/86.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB96, bitIndex1)) | v84(constB95, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB96, bitIndex1)))),
% 135.50/86.22 inference(transitivity,[status(thm)],[15683, 15681])).
% 135.50/86.22 tff(15685,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | (~v84(constB96, bitIndex1)) | v84(constB95, bitIndex1))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15686,plain,
% 135.50/86.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB95, constB96)) | v94(constB96) | (~less_3(bitIndex1)) | v84(constB95, bitIndex1) | (~v84(constB96, bitIndex1))),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 135.50/86.22 tff(15687,plain,
% 135.50/86.22 (v84(constB95, bitIndex1)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15686, 805, 823, 15303, 15299, 15680])).
% 135.50/86.22 tff(15688,plain,
% 135.50/86.22 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB95) | (~v116(constB95)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB95) | (~v116(constB95)))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15689,plain,
% 135.50/86.22 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB95) | (~v116(constB95)))),
% 135.50/86.22 inference(quant_inst,[status(thm)],[])).
% 135.50/86.22 tff(15690,plain,
% 135.50/86.22 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB95) | (~v116(constB95))),
% 135.50/86.22 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 135.50/86.22 tff(15691,plain,
% 135.50/86.22 (~v116(constB95)),
% 135.50/86.22 inference(unit_resolution,[status(thm)],[15690, 934, 15378])).
% 135.50/86.22 tff(15692,plain,
% 135.50/86.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v116(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v116(constB95))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15693,plain,
% 135.50/86.22 (((~v84(constB95, bitIndex0)) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | v116(constB95)) <=> ((~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v116(constB95))),
% 135.50/86.22 inference(rewrite,[status(thm)],[])).
% 135.50/86.22 tff(15694,plain,
% 135.50/86.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB95, bitIndex0)) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | v116(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v116(constB95)))),
% 135.50/86.22 inference(monotonicity,[status(thm)],[15693])).
% 135.50/86.22 tff(15695,plain,
% 135.50/86.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB95, bitIndex0)) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | v116(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v116(constB95))),
% 135.50/86.23 inference(transitivity,[status(thm)],[15694, 15692])).
% 135.50/86.23 tff(15696,plain,
% 135.50/86.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB95, bitIndex0)) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | v116(constB95))),
% 135.50/86.23 inference(quant_inst,[status(thm)],[])).
% 135.50/86.23 tff(15697,plain,
% 135.50/86.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v116(constB95)),
% 135.50/86.23 inference(modus_ponens,[status(thm)],[15696, 15695])).
% 135.50/86.23 tff(15698,plain,
% 135.50/86.23 ((~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0))),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15697, 1076, 15691])).
% 135.50/86.23 tff(15699,plain,
% 135.50/86.23 (v84(constB95, bitIndex2)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15698, 15687, 15663])).
% 135.50/86.23 tff(15700,plain,
% 135.50/86.23 ($false),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15309, 777, 767, 15303, 15299, 15298, 15699])).
% 135.50/86.23 tff(15701,plain,(v84(constB96, bitIndex2) | v94(constB96) | v145(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.23 tff(15702,plain,
% 135.50/86.23 (v84(constB96, bitIndex2)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15701, 15655, 15299])).
% 135.50/86.23 tff(15703,plain,
% 135.50/86.23 ($false),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15414, 805, 767, 15303, 15299, 15702, 15644])).
% 135.50/86.23 tff(15704,plain,(v84(constB95, bitIndex2) | v94(constB96)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.23 tff(15705,plain,
% 135.50/86.23 (v84(constB95, bitIndex2)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15704, 15299])).
% 135.50/86.23 tff(15706,assumption,(v84(constB95, bitIndex2)), introduced(assumption)).
% 135.50/86.23 tff(15707,assumption,(~v84(constB94, bitIndex2)), introduced(assumption)).
% 135.50/86.23 tff(15708,plain,
% 135.50/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB95, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB95, bitIndex2)))),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15709,plain,
% 135.50/86.23 (((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB94, bitIndex2)) <=> ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB95, bitIndex2)))),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15710,plain,
% 135.50/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB94, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB95, bitIndex2))))),
% 135.50/86.23 inference(monotonicity,[status(thm)],[15709])).
% 135.50/86.23 tff(15711,plain,
% 135.50/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB94, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB95, bitIndex2)))),
% 135.50/86.23 inference(transitivity,[status(thm)],[15710, 15708])).
% 135.50/86.23 tff(15712,plain,
% 135.50/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB95, bitIndex2)) | v84(constB94, bitIndex2))),
% 135.50/86.23 inference(quant_inst,[status(thm)],[])).
% 135.50/86.23 tff(15713,plain,
% 135.50/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB95, bitIndex2))),
% 135.50/86.23 inference(modus_ponens,[status(thm)],[15712, 15711])).
% 135.50/86.23 tff(15714,plain,
% 135.50/86.23 ($false),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15713, 805, 767, 15622, 15634, 15707, 15706])).
% 135.50/86.23 tff(15715,plain,((~v84(constB95, bitIndex2)) | v84(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.23 tff(15716,plain,
% 135.50/86.23 (v84(constB94, bitIndex2)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15715, 15705])).
% 135.50/86.23 tff(15717,assumption,(~v119(constB91)), introduced(assumption)).
% 135.50/86.23 tff(15718,assumption,(~v124(constB95, bitIndex1)), introduced(assumption)).
% 135.50/86.23 tff(15719,plain,
% 135.50/86.23 (~v145(constB95)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15530, 1821, 1818, 823, 15718])).
% 135.50/86.23 tff(15720,assumption,(v172(constB95)), introduced(assumption)).
% 135.50/86.23 tff(15721,plain,
% 135.50/86.23 ($false),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15498, 1801, 1798, 823, 15720, 15718])).
% 135.50/86.23 tff(15722,plain,(v124(constB95, bitIndex1) | (~v172(constB95))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.23 tff(15723,plain,
% 135.50/86.23 (~v172(constB95)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15722, 15718])).
% 135.50/86.23 tff(15724,plain,
% 135.50/86.23 (~v118(constB95)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15505, 3033, 1145, 823, 15718])).
% 135.50/86.23 tff(15725,assumption,(~v118(constB95)), introduced(assumption)).
% 135.50/86.23 tff(15726,assumption,(~v172(constB95)), introduced(assumption)).
% 135.50/86.23 tff(15727,plain,
% 135.50/86.23 (v84(constB95, bitIndex0) | (~v84(constB95, bitIndex2)) | v172(constB95)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15422, 1047, 15300])).
% 135.50/86.23 tff(15728,plain,
% 135.50/86.23 (v84(constB95, bitIndex0)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15727, 15706, 15726])).
% 135.50/86.23 tff(15729,plain,
% 135.50/86.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95) | (~v84(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95) | (~v84(constB95, bitIndex0)))),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15730,plain,
% 135.50/86.23 (((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95)) <=> (v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95) | (~v84(constB95, bitIndex0)))),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15731,plain,
% 135.50/86.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95) | (~v84(constB95, bitIndex0))))),
% 135.50/86.23 inference(monotonicity,[status(thm)],[15730])).
% 135.50/86.23 tff(15732,plain,
% 135.50/86.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95) | (~v84(constB95, bitIndex0)))),
% 135.50/86.23 inference(transitivity,[status(thm)],[15731, 15729])).
% 135.50/86.23 tff(15733,plain,
% 135.50/86.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB95, bitIndex0)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95))),
% 135.50/86.23 inference(quant_inst,[status(thm)],[])).
% 135.50/86.23 tff(15734,plain,
% 135.50/86.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex2)) | v118(constB95) | (~v84(constB95, bitIndex0))),
% 135.50/86.23 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 135.50/86.23 tff(15735,plain,
% 135.50/86.23 ((~v84(constB95, bitIndex2)) | v118(constB95) | (~v84(constB95, bitIndex0))),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15734, 1018, 15300])).
% 135.50/86.23 tff(15736,plain,
% 135.50/86.23 ($false),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15735, 15728, 15706, 15725])).
% 135.50/86.23 tff(15737,plain,((~v84(constB95, bitIndex2)) | v118(constB95) | v84(constB95, bitIndex1) | v172(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.23 tff(15738,plain,
% 135.50/86.23 (~v84(constB95, bitIndex2)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15737, 15724, 15300, 15723])).
% 135.50/86.23 tff(15739,assumption,(v84(constB95, bitIndex0)), introduced(assumption)).
% 135.50/86.23 tff(15740,plain,
% 135.50/86.23 ($false),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15676, 865, 15664, 15300, 15739, 15644])).
% 135.50/86.23 tff(15741,plain,(v145(constB95) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)) | v84(constB95, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.50/86.23 tff(15742,plain,
% 135.50/86.23 (~v84(constB95, bitIndex0)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15741, 15738, 15300, 15719])).
% 135.50/86.23 tff(15743,assumption,(v84(constB94, bitIndex2)), introduced(assumption)).
% 135.50/86.23 tff(15744,plain,
% 135.50/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2))),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15745,plain,
% 135.50/86.23 (((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB94, bitIndex2))) <=> ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2))),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15746,plain,
% 135.50/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB94, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2)))),
% 135.50/86.23 inference(monotonicity,[status(thm)],[15745])).
% 135.50/86.23 tff(15747,plain,
% 135.50/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB94, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2))),
% 135.50/86.23 inference(transitivity,[status(thm)],[15746, 15744])).
% 135.50/86.23 tff(15748,plain,
% 135.50/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | v84(constB95, bitIndex2) | (~v84(constB94, bitIndex2)))),
% 135.50/86.23 inference(quant_inst,[status(thm)],[])).
% 135.50/86.23 tff(15749,plain,
% 135.50/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB95, bitIndex2)),
% 135.50/86.23 inference(modus_ponens,[status(thm)],[15748, 15747])).
% 135.50/86.23 tff(15750,plain,
% 135.50/86.23 ($false),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15749, 777, 767, 15622, 15634, 15743, 15644])).
% 135.50/86.23 tff(15751,plain,(v84(constB95, bitIndex2) | (~v84(constB94, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.50/86.23 tff(15752,plain,
% 135.50/86.23 (~v84(constB94, bitIndex2)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15751, 15738])).
% 135.50/86.23 tff(15753,assumption,(~v94(constB94)), introduced(assumption)).
% 135.50/86.23 tff(15754,assumption,(~v84(constB93, bitIndex1)), introduced(assumption)).
% 135.50/86.23 tff(15755,assumption,(~v84(constB94, bitIndex0)), introduced(assumption)).
% 135.50/86.23 tff(15756,plain,
% 135.50/86.23 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15757,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_93_1')).
% 135.50/86.23 tff(15758,plain,
% 135.50/86.23 (nextState(constB93, constB94)),
% 135.50/86.23 inference(modus_ponens,[status(thm)],[15757, 15756])).
% 135.50/86.23 tff(15759,plain,
% 135.50/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB93, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB93, bitIndex0)))),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15760,plain,
% 135.50/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB93, bitIndex0)))),
% 135.50/86.23 inference(quant_inst,[status(thm)],[])).
% 135.50/86.23 tff(15761,plain,
% 135.50/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB93, bitIndex0))),
% 135.50/86.23 inference(modus_ponens,[status(thm)],[15760, 15759])).
% 135.50/86.23 tff(15762,plain,
% 135.50/86.23 (v94(constB94) | (~v84(constB93, bitIndex0))),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15761, 777, 795, 15758, 15755])).
% 135.50/86.23 tff(15763,plain,
% 135.50/86.23 (~v84(constB93, bitIndex0)),
% 135.50/86.23 inference(unit_resolution,[status(thm)],[15762, 15753])).
% 135.50/86.23 tff(15764,plain,
% 135.50/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB93, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB93, bitIndex2)))),
% 135.50/86.23 inference(rewrite,[status(thm)],[])).
% 135.50/86.23 tff(15765,plain,
% 135.50/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB93, bitIndex2)))),
% 135.59/86.23 inference(quant_inst,[status(thm)],[])).
% 135.59/86.23 tff(15766,plain,
% 135.59/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v84(constB93, bitIndex2))),
% 135.59/86.23 inference(modus_ponens,[status(thm)],[15765, 15764])).
% 135.59/86.23 tff(15767,plain,
% 135.59/86.23 (v94(constB94) | (~v84(constB93, bitIndex2))),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15766, 777, 767, 15758, 15707])).
% 135.59/86.23 tff(15768,plain,
% 135.59/86.23 (~v84(constB93, bitIndex2)),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15767, 15753])).
% 135.59/86.23 tff(15769,assumption,(~v84(constB94, bitIndex1)), introduced(assumption)).
% 135.59/86.23 tff(15770,assumption,(v94(constB94)), introduced(assumption)).
% 135.59/86.23 tff(15771,plain,
% 135.59/86.23 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB94)) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15772,plain,
% 135.59/86.23 (((~less_3(bitIndex2)) | (~v94(constB94)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2))) <=> ((~v94(constB94)) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15773,plain,
% 135.59/86.23 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB94)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB94)) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2))))),
% 135.59/86.23 inference(monotonicity,[status(thm)],[15772])).
% 135.59/86.23 tff(15774,plain,
% 135.59/86.23 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB94)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)))),
% 135.59/86.23 inference(transitivity,[status(thm)],[15773, 15771])).
% 135.59/86.23 tff(15775,plain,
% 135.59/86.23 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB94)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2)))),
% 135.59/86.23 inference(quant_inst,[status(thm)],[])).
% 135.59/86.23 tff(15776,plain,
% 135.59/86.23 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex2)) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2))),
% 135.59/86.23 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 135.59/86.23 tff(15777,plain,
% 135.59/86.23 ((~v94(constB94)) | (~v123(constB94, bitIndex2))),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15776, 1674, 767, 15707])).
% 135.59/86.23 tff(15778,plain,
% 135.59/86.23 (~v123(constB94, bitIndex2)),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15777, 15770])).
% 135.59/86.23 tff(15779,plain,
% 135.59/86.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex2)) | v123(constB94, bitIndex2) | (~v121(constB93, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex2)) | v123(constB94, bitIndex2) | (~v121(constB93, bitIndex2)))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15780,plain,
% 135.59/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex2)) | v123(constB94, bitIndex2) | (~v121(constB93, bitIndex2)))),
% 135.59/86.23 inference(quant_inst,[status(thm)],[])).
% 135.59/86.23 tff(15781,plain,
% 135.59/86.23 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex2)) | v123(constB94, bitIndex2) | (~v121(constB93, bitIndex2))),
% 135.59/86.23 inference(modus_ponens,[status(thm)],[15780, 15779])).
% 135.59/86.23 tff(15782,plain,
% 135.59/86.23 (~v121(constB93, bitIndex2)),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15781, 1708, 767, 15758, 15778])).
% 135.59/86.23 tff(15783,assumption,(v26(constB93)), introduced(assumption)).
% 135.59/86.23 tff(15784,plain,
% 135.59/86.23 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 135.59/86.23 inference(quant_inst,[status(thm)],[])).
% 135.59/86.23 tff(15785,plain,
% 135.59/86.23 ($false),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15784, 1172, 15783])).
% 135.59/86.23 tff(15786,plain,(~v26(constB93)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.23 tff(15787,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex2)) | v121(constB93, bitIndex2) | (~v124(constB93, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex2)) | v121(constB93, bitIndex2) | (~v124(constB93, bitIndex2)))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15788,plain,
% 135.59/86.23 ((v26(constB93) | v121(constB93, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2))) <=> (v26(constB93) | (~less_3(bitIndex2)) | v121(constB93, bitIndex2) | (~v124(constB93, bitIndex2)))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15789,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex2)) | v121(constB93, bitIndex2) | (~v124(constB93, bitIndex2))))),
% 135.59/86.23 inference(monotonicity,[status(thm)],[15788])).
% 135.59/86.23 tff(15790,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex2)) | v121(constB93, bitIndex2) | (~v124(constB93, bitIndex2)))),
% 135.59/86.23 inference(transitivity,[status(thm)],[15789, 15787])).
% 135.59/86.23 tff(15791,plain,
% 135.59/86.23 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)))),
% 135.59/86.23 inference(quant_inst,[status(thm)],[])).
% 135.59/86.23 tff(15792,plain,
% 135.59/86.23 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex2)) | v121(constB93, bitIndex2) | (~v124(constB93, bitIndex2))),
% 135.59/86.23 inference(modus_ponens,[status(thm)],[15791, 15790])).
% 135.59/86.23 tff(15793,plain,
% 135.59/86.23 (~v124(constB93, bitIndex2)),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15792, 1728, 767, 15786, 15782])).
% 135.59/86.23 tff(15794,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB93)) | v124(constB93, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15795,plain,
% 135.59/86.23 (((~v116(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15796,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB93)) | v124(constB93, bitIndex2)))),
% 135.59/86.23 inference(monotonicity,[status(thm)],[15795])).
% 135.59/86.23 tff(15797,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.23 inference(transitivity,[status(thm)],[15796, 15794])).
% 135.59/86.23 tff(15798,plain,
% 135.59/86.23 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b100(bitIndex2)))),
% 135.59/86.23 inference(quant_inst,[status(thm)],[])).
% 135.59/86.23 tff(15799,plain,
% 135.59/86.23 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB93)) | v124(constB93, bitIndex2)),
% 135.59/86.23 inference(modus_ponens,[status(thm)],[15798, 15797])).
% 135.59/86.23 tff(15800,plain,
% 135.59/86.23 (~v116(constB93)),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15799, 1772, 1769, 767, 15793])).
% 135.59/86.23 tff(15801,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB93)) | v124(constB93, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15802,plain,
% 135.59/86.23 (((~v113(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.23 inference(rewrite,[status(thm)],[])).
% 135.59/86.23 tff(15803,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB93)) | v124(constB93, bitIndex2)))),
% 135.59/86.23 inference(monotonicity,[status(thm)],[15802])).
% 135.59/86.23 tff(15804,plain,
% 135.59/86.23 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.23 inference(transitivity,[status(thm)],[15803, 15801])).
% 135.59/86.23 tff(15805,plain,
% 135.59/86.23 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b100(bitIndex2)))),
% 135.59/86.23 inference(quant_inst,[status(thm)],[])).
% 135.59/86.23 tff(15806,plain,
% 135.59/86.23 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB93)) | v124(constB93, bitIndex2)),
% 135.59/86.23 inference(modus_ponens,[status(thm)],[15805, 15804])).
% 135.59/86.23 tff(15807,plain,
% 135.59/86.23 (~v113(constB93)),
% 135.59/86.23 inference(unit_resolution,[status(thm)],[15806, 1772, 1838, 767, 15793])).
% 135.59/86.23 tff(15808,plain,
% 135.59/86.23 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB94)) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15809,plain,
% 135.59/86.24 (((~less_3(bitIndex1)) | (~v94(constB94)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1))) <=> ((~v94(constB94)) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15810,plain,
% 135.59/86.24 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB94)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB94)) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1))))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15809])).
% 135.59/86.24 tff(15811,plain,
% 135.59/86.24 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB94)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15810, 15808])).
% 135.59/86.24 tff(15812,plain,
% 135.59/86.24 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB94)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15813,plain,
% 135.59/86.24 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v123(constB94, bitIndex1))),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 135.59/86.24 tff(15814,plain,
% 135.59/86.24 ((~v94(constB94)) | (~v123(constB94, bitIndex1))),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15813, 1674, 823, 15769])).
% 135.59/86.24 tff(15815,plain,
% 135.59/86.24 (~v123(constB94, bitIndex1)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15814, 15770])).
% 135.59/86.24 tff(15816,plain,
% 135.59/86.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v123(constB94, bitIndex1) | (~v121(constB93, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v123(constB94, bitIndex1) | (~v121(constB93, bitIndex1)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15817,plain,
% 135.59/86.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v123(constB94, bitIndex1) | (~v121(constB93, bitIndex1)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15818,plain,
% 135.59/86.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v123(constB94, bitIndex1) | (~v121(constB93, bitIndex1))),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15817, 15816])).
% 135.59/86.24 tff(15819,plain,
% 135.59/86.24 (~v121(constB93, bitIndex1)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15818, 1708, 823, 15758, 15815])).
% 135.59/86.24 tff(15820,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v124(constB93, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v124(constB93, bitIndex1)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15821,plain,
% 135.59/86.24 ((v26(constB93) | v121(constB93, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1))) <=> (v26(constB93) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v124(constB93, bitIndex1)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15822,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v124(constB93, bitIndex1))))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15821])).
% 135.59/86.24 tff(15823,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v124(constB93, bitIndex1)))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15822, 15820])).
% 135.59/86.24 tff(15824,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15825,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v124(constB93, bitIndex1))),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 135.59/86.24 tff(15826,plain,
% 135.59/86.24 (~v124(constB93, bitIndex1)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15825, 1728, 823, 15786, 15819])).
% 135.59/86.24 tff(15827,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15828,plain,
% 135.59/86.24 (((~v115(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15829,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1)))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15828])).
% 135.59/86.24 tff(15830,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15829, 15827])).
% 135.59/86.24 tff(15831,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b011(bitIndex1)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15832,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15831, 15830])).
% 135.59/86.24 tff(15833,plain,
% 135.59/86.24 (~v115(constB93)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15832, 3033, 1193, 823, 15826])).
% 135.59/86.24 tff(15834,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB93)) | v124(constB93, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB93)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15835,plain,
% 135.59/86.24 (((~v172(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB93)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15836,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB93)) | v124(constB93, bitIndex1)))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15835])).
% 135.59/86.24 tff(15837,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB93)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15836, 15834])).
% 135.59/86.24 tff(15838,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b110(bitIndex1)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15839,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB93)) | v124(constB93, bitIndex1)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15838, 15837])).
% 135.59/86.24 tff(15840,plain,
% 135.59/86.24 (~v172(constB93)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15839, 1801, 1798, 823, 15826])).
% 135.59/86.24 tff(15841,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15842,plain,
% 135.59/86.24 (((~v118(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v118(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15843,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1)))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15842])).
% 135.59/86.24 tff(15844,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15843, 15841])).
% 135.59/86.24 tff(15845,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b011(bitIndex1)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15846,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB93)) | (~b011(bitIndex1)) | v124(constB93, bitIndex1)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15845, 15844])).
% 135.59/86.24 tff(15847,plain,
% 135.59/86.24 (~v118(constB93)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15846, 3033, 1145, 823, 15826])).
% 135.59/86.24 tff(15848,plain,
% 135.59/86.24 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB94)) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15849,plain,
% 135.59/86.24 (((~less_3(bitIndex0)) | (~v94(constB94)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0))) <=> ((~v94(constB94)) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15850,plain,
% 135.59/86.24 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB94)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB94)) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0))))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15849])).
% 135.59/86.24 tff(15851,plain,
% 135.59/86.24 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB94)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15850, 15848])).
% 135.59/86.24 tff(15852,plain,
% 135.59/86.24 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB94)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15853,plain,
% 135.59/86.24 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB94)) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0))),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 135.59/86.24 tff(15854,plain,
% 135.59/86.24 ((~v94(constB94)) | (~v123(constB94, bitIndex0))),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15853, 1674, 795, 15755])).
% 135.59/86.24 tff(15855,plain,
% 135.59/86.24 (~v123(constB94, bitIndex0)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15854, 15770])).
% 135.59/86.24 tff(15856,plain,
% 135.59/86.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex0)) | v123(constB94, bitIndex0) | (~v121(constB93, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex0)) | v123(constB94, bitIndex0) | (~v121(constB93, bitIndex0)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15857,plain,
% 135.59/86.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex0)) | v123(constB94, bitIndex0) | (~v121(constB93, bitIndex0)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15858,plain,
% 135.59/86.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex0)) | v123(constB94, bitIndex0) | (~v121(constB93, bitIndex0))),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 135.59/86.24 tff(15859,plain,
% 135.59/86.24 (~v121(constB93, bitIndex0)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15858, 1708, 795, 15758, 15855])).
% 135.59/86.24 tff(15860,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex0)) | v121(constB93, bitIndex0) | (~v124(constB93, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex0)) | v121(constB93, bitIndex0) | (~v124(constB93, bitIndex0)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15861,plain,
% 135.59/86.24 ((v26(constB93) | v121(constB93, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB93, bitIndex0))) <=> (v26(constB93) | (~less_3(bitIndex0)) | v121(constB93, bitIndex0) | (~v124(constB93, bitIndex0)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15862,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB93, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex0)) | v121(constB93, bitIndex0) | (~v124(constB93, bitIndex0))))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15861])).
% 135.59/86.24 tff(15863,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB93, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex0)) | v121(constB93, bitIndex0) | (~v124(constB93, bitIndex0)))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15862, 15860])).
% 135.59/86.24 tff(15864,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB93) | v121(constB93, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB93, bitIndex0)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15865,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex0)) | v121(constB93, bitIndex0) | (~v124(constB93, bitIndex0))),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15864, 15863])).
% 135.59/86.24 tff(15866,plain,
% 135.59/86.24 (~v124(constB93, bitIndex0)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15865, 1728, 795, 15786, 15859])).
% 135.59/86.24 tff(15867,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB93)) | (~b010(bitIndex1)) | v124(constB93, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB93)) | (~b010(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15868,plain,
% 135.59/86.24 (((~v145(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB93)) | (~b010(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15869,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB93)) | (~b010(bitIndex1)) | v124(constB93, bitIndex1)))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15868])).
% 135.59/86.24 tff(15870,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB93)) | (~b010(bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15869, 15867])).
% 135.59/86.24 tff(15871,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB93)) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~b010(bitIndex1)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15872,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB93)) | (~b010(bitIndex1)) | v124(constB93, bitIndex1)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15871, 15870])).
% 135.59/86.24 tff(15873,plain,
% 135.59/86.24 (~v145(constB93)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15872, 1821, 1818, 823, 15826])).
% 135.59/86.24 tff(15874,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB93) | (~b001(bitIndex0)) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | v124(constB93, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB93) | (~b001(bitIndex0)) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | v124(constB93, bitIndex0))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15875,plain,
% 135.59/86.24 ((v113(constB93) | v145(constB93) | v115(constB93) | v116(constB93) | v172(constB93) | v118(constB93) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB93) | (~b001(bitIndex0)) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | v124(constB93, bitIndex0))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15876,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB93) | v145(constB93) | v115(constB93) | v116(constB93) | v172(constB93) | v118(constB93) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB93) | (~b001(bitIndex0)) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | v124(constB93, bitIndex0)))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15875])).
% 135.59/86.24 tff(15877,plain,
% 135.59/86.24 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB93) | v145(constB93) | v115(constB93) | v116(constB93) | v172(constB93) | v118(constB93) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB93) | (~b001(bitIndex0)) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | v124(constB93, bitIndex0))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15876, 15874])).
% 135.59/86.24 tff(15878,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB93) | v145(constB93) | v115(constB93) | v116(constB93) | v172(constB93) | v118(constB93) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b001(bitIndex0)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15879,plain,
% 135.59/86.24 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB93) | (~b001(bitIndex0)) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | v124(constB93, bitIndex0)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15878, 15877])).
% 135.59/86.24 tff(15880,plain,
% 135.59/86.24 (v116(constB93) | v113(constB93)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15879, 1213, 1210, 795, 15873, 15866, 15847, 15840, 15833])).
% 135.59/86.24 tff(15881,plain,
% 135.59/86.24 ($false),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15880, 15807, 15800])).
% 135.59/86.24 tff(15882,plain,((~v94(constB94)) | v84(constB94, bitIndex2) | v84(constB94, bitIndex0) | v84(constB94, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.24 tff(15883,plain,
% 135.59/86.24 (~v94(constB94)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15882, 15707, 15755, 15769])).
% 135.59/86.24 tff(15884,plain,
% 135.59/86.24 ((~v1(constB93)) <=> (~v1(constB93))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15885,axiom,(~v1(constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_93_1_1')).
% 135.59/86.24 tff(15886,plain,
% 135.59/86.24 (~v1(constB93)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15885, 15884])).
% 135.59/86.24 tff(15887,plain,
% 135.59/86.24 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15888,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15889,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB93) | (~nextState(constB93, constB94)) | (~v98(constB94))),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15888, 15887])).
% 135.59/86.24 tff(15890,plain,
% 135.59/86.24 (~v98(constB94)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15889, 541, 15758, 15886])).
% 135.59/86.24 tff(15891,plain,
% 135.59/86.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15892,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB93, constB94)) | v96(constB94) | v98(constB94))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15893,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB93, constB94)) | v96(constB94) | v98(constB94)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15892, 15891])).
% 135.59/86.24 tff(15894,plain,
% 135.59/86.24 (v96(constB94) | v98(constB94)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15893, 555, 15758])).
% 135.59/86.24 tff(15895,plain,
% 135.59/86.24 (v96(constB94)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15894, 15890])).
% 135.59/86.24 tff(15896,plain,
% 135.59/86.24 (v1(constB94) <=> v1(constB94)),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15897,axiom,(v1(constB94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_94_1')).
% 135.59/86.24 tff(15898,plain,
% 135.59/86.24 (v1(constB94)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15897, 15896])).
% 135.59/86.24 tff(15899,plain,
% 135.59/86.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15900,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94)))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15901,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB93, constB94)) | v95(constB94) | (~v96(constB94)) | (~v1(constB94))),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15900, 15899])).
% 135.59/86.24 tff(15902,plain,
% 135.59/86.24 (v95(constB94) | (~v96(constB94))),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15901, 573, 15758, 15898])).
% 135.59/86.24 tff(15903,plain,
% 135.59/86.24 (v95(constB94)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15902, 15895])).
% 135.59/86.24 tff(15904,plain,
% 135.59/86.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15905,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15906,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB93, constB94)) | (~v95(constB94)) | (~v104(constB94)) | v94(constB94)),
% 135.59/86.24 inference(modus_ponens,[status(thm)],[15905, 15904])).
% 135.59/86.24 tff(15907,plain,
% 135.59/86.24 ((~v95(constB94)) | (~v104(constB94)) | v94(constB94)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15906, 588, 15758])).
% 135.59/86.24 tff(15908,plain,
% 135.59/86.24 ((~v104(constB94)) | v94(constB94)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15907, 15903])).
% 135.59/86.24 tff(15909,plain,
% 135.59/86.24 (~v104(constB94)),
% 135.59/86.24 inference(unit_resolution,[status(thm)],[15908, 15883])).
% 135.59/86.24 tff(15910,plain,
% 135.59/86.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15911,plain,
% 135.59/86.24 (((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94)) <=> ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 135.59/86.24 inference(rewrite,[status(thm)],[])).
% 135.59/86.24 tff(15912,plain,
% 135.59/86.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))))),
% 135.59/86.24 inference(monotonicity,[status(thm)],[15911])).
% 135.59/86.24 tff(15913,plain,
% 135.59/86.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93)))),
% 135.59/86.24 inference(transitivity,[status(thm)],[15912, 15910])).
% 135.59/86.24 tff(15914,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB93, constB94)) | (~v102(constB93)) | v104(constB94))),
% 135.59/86.24 inference(quant_inst,[status(thm)],[])).
% 135.59/86.24 tff(15915,plain,
% 135.59/86.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v102(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15914, 15913])).
% 135.59/86.25 tff(15916,plain,
% 135.59/86.25 (v104(constB94) | (~v102(constB93))),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15915, 604, 15758])).
% 135.59/86.25 tff(15917,plain,
% 135.59/86.25 (~v102(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15916, 15909])).
% 135.59/86.25 tff(15918,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB93) | (~v106(constB93)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB93) | (~v106(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15919,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB93) | (~v106(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15920,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB93) | (~v106(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15919, 15918])).
% 135.59/86.25 tff(15921,plain,
% 135.59/86.25 (~v106(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15920, 619, 15917])).
% 135.59/86.25 tff(15922,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | v106(constB93) | (~v107(constB93)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | v106(constB93) | (~v107(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15923,plain,
% 135.59/86.25 ((v26(constB93) | (~v107(constB93)) | v106(constB93)) <=> (v26(constB93) | v106(constB93) | (~v107(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15924,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | v106(constB93) | (~v107(constB93))))),
% 135.59/86.25 inference(monotonicity,[status(thm)],[15923])).
% 135.59/86.25 tff(15925,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | v106(constB93) | (~v107(constB93)))),
% 135.59/86.25 inference(transitivity,[status(thm)],[15924, 15922])).
% 135.59/86.25 tff(15926,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB93) | (~v107(constB93)) | v106(constB93))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15927,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB93) | v106(constB93) | (~v107(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15926, 15925])).
% 135.59/86.25 tff(15928,plain,
% 135.59/86.25 (v106(constB93) | (~v107(constB93))),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15927, 644, 15786])).
% 135.59/86.25 tff(15929,plain,
% 135.59/86.25 (~v107(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15928, 15921])).
% 135.59/86.25 tff(15930,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB93) | (~v108(constB93)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB93) | (~v108(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15931,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB93) | (~v108(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15932,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB93) | (~v108(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15931, 15930])).
% 135.59/86.25 tff(15933,plain,
% 135.59/86.25 (~v108(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15932, 658, 15929])).
% 135.59/86.25 tff(15934,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB93) | (~v109(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB93) | (~v109(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15935,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB93) | (~v109(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15936,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB93) | (~v109(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15935, 15934])).
% 135.59/86.25 tff(15937,plain,
% 135.59/86.25 (~v109(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15936, 669, 15933])).
% 135.59/86.25 tff(15938,plain,
% 135.59/86.25 (~v84(constB93, bitIndex2)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15767, 15883])).
% 135.59/86.25 tff(15939,plain,
% 135.59/86.25 (~v84(constB93, bitIndex0)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15762, 15883])).
% 135.59/86.25 tff(15940,plain,
% 135.59/86.25 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB93, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB93, bitIndex1)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15941,plain,
% 135.59/86.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB93, bitIndex1)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15942,plain,
% 135.59/86.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB93, bitIndex1))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15941, 15940])).
% 135.59/86.25 tff(15943,plain,
% 135.59/86.25 (v94(constB94) | (~v84(constB93, bitIndex1))),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15942, 777, 823, 15758, 15769])).
% 135.59/86.25 tff(15944,plain,
% 135.59/86.25 (~v84(constB93, bitIndex1)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15943, 15883])).
% 135.59/86.25 tff(15945,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB93) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB93) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15946,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB93) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15947,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB93) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2)),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15946, 15945])).
% 135.59/86.25 tff(15948,plain,
% 135.59/86.25 (v113(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15947, 983, 15944, 15939, 15938])).
% 135.59/86.25 tff(15949,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB93) | (~v113(constB93)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB93) | (~v113(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15950,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB93) | (~v113(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15951,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB93) | (~v113(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15950, 15949])).
% 135.59/86.25 tff(15952,plain,
% 135.59/86.25 (v112(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15951, 969, 15948])).
% 135.59/86.25 tff(15953,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB93) | (~v112(constB93)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB93) | (~v112(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15954,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB93) | (~v112(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15955,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB93) | (~v112(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15954, 15953])).
% 135.59/86.25 tff(15956,plain,
% 135.59/86.25 (v111(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15955, 702, 15952])).
% 135.59/86.25 tff(15957,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB93) | (~v111(constB93)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB93) | (~v111(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15958,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB93) | (~v111(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15959,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB93) | (~v111(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15958, 15957])).
% 135.59/86.25 tff(15960,plain,
% 135.59/86.25 (v110(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15959, 691, 15956])).
% 135.59/86.25 tff(15961,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB93) | (~v110(constB93)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB93) | (~v110(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15962,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB93) | (~v110(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15963,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB93) | (~v110(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15962, 15961])).
% 135.59/86.25 tff(15964,plain,
% 135.59/86.25 ($false),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15963, 680, 15960, 15937])).
% 135.59/86.25 tff(15965,plain,(v84(constB94, bitIndex2) | v84(constB94, bitIndex0) | v84(constB94, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.25 tff(15966,plain,
% 135.59/86.25 (v84(constB94, bitIndex1)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15965, 15755, 15707])).
% 135.59/86.25 tff(15967,plain,
% 135.59/86.25 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB93, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB93, bitIndex1))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15968,plain,
% 135.59/86.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB93, bitIndex1))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15969,plain,
% 135.59/86.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex1)) | (~v84(constB94, bitIndex1)) | v84(constB93, bitIndex1)),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15968, 15967])).
% 135.59/86.25 tff(15970,plain,
% 135.59/86.25 (v94(constB94) | v84(constB93, bitIndex1)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15969, 805, 823, 15758, 15966])).
% 135.59/86.25 tff(15971,plain,
% 135.59/86.25 (v84(constB93, bitIndex1)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15970, 15753])).
% 135.59/86.25 tff(15972,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v115(constB93))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v115(constB93))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15973,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v115(constB93))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15974,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v115(constB93)),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 135.59/86.25 tff(15975,plain,
% 135.59/86.25 (v115(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15974, 1095, 15971, 15768, 15763])).
% 135.59/86.25 tff(15976,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB93) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB93) | (~v115(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15977,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB93) | (~v115(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15978,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB93) | (~v115(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 135.59/86.25 tff(15979,plain,
% 135.59/86.25 (v111(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15978, 945, 15975])).
% 135.59/86.25 tff(15980,plain,
% 135.59/86.25 (v110(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15959, 691, 15979])).
% 135.59/86.25 tff(15981,plain,
% 135.59/86.25 (~v104(constB94)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15908, 15753])).
% 135.59/86.25 tff(15982,plain,
% 135.59/86.25 (~v102(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15916, 15981])).
% 135.59/86.25 tff(15983,plain,
% 135.59/86.25 (~v106(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15920, 619, 15982])).
% 135.59/86.25 tff(15984,plain,
% 135.59/86.25 (~v107(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15928, 15983])).
% 135.59/86.25 tff(15985,plain,
% 135.59/86.25 (~v108(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15932, 658, 15984])).
% 135.59/86.25 tff(15986,plain,
% 135.59/86.25 (~v109(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15936, 669, 15985])).
% 135.59/86.25 tff(15987,plain,
% 135.59/86.25 ($false),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15963, 680, 15986, 15980])).
% 135.59/86.25 tff(15988,plain,(v94(constB94) | v84(constB94, bitIndex0) | v84(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.25 tff(15989,plain,
% 135.59/86.25 (v84(constB94, bitIndex0)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15988, 15707, 15753])).
% 135.59/86.25 tff(15990,plain,
% 135.59/86.25 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB93, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB93, bitIndex0))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15991,plain,
% 135.59/86.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB93, bitIndex0))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(15992,plain,
% 135.59/86.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB93, bitIndex0)),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15991, 15990])).
% 135.59/86.25 tff(15993,plain,
% 135.59/86.25 (v84(constB93, bitIndex0)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15992, 805, 795, 15758, 15753, 15989])).
% 135.59/86.25 tff(15994,plain,
% 135.59/86.25 (~v84(constB93, bitIndex2)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15766, 777, 767, 15758, 15753, 15707])).
% 135.59/86.25 tff(15995,plain,
% 135.59/86.25 (~v110(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15963, 680, 15986])).
% 135.59/86.25 tff(15996,plain,
% 135.59/86.25 (~v111(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15959, 691, 15995])).
% 135.59/86.25 tff(15997,plain,
% 135.59/86.25 (~v112(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15955, 702, 15996])).
% 135.59/86.25 tff(15998,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB93) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB93) | (~v145(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(15999,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB93) | (~v145(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(16000,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB93) | (~v145(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[15999, 15998])).
% 135.59/86.25 tff(16001,plain,
% 135.59/86.25 (~v145(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16000, 713, 15997])).
% 135.59/86.25 tff(16002,plain,
% 135.59/86.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB93) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB93) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16003,plain,
% 135.59/86.25 (((~v84(constB93, bitIndex0)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | v145(constB93)) <=> (v145(constB93) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16004,plain,
% 135.59/86.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB93, bitIndex0)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | v145(constB93))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB93) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0))))),
% 135.59/86.25 inference(monotonicity,[status(thm)],[16003])).
% 135.59/86.25 tff(16005,plain,
% 135.59/86.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB93, bitIndex0)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | v145(constB93))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB93) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)))),
% 135.59/86.25 inference(transitivity,[status(thm)],[16004, 16002])).
% 135.59/86.25 tff(16006,plain,
% 135.59/86.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB93, bitIndex0)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | v145(constB93))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(16007,plain,
% 135.59/86.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB93) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[16006, 16005])).
% 135.59/86.25 tff(16008,plain,
% 135.59/86.25 (v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0))),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16007, 865, 16001])).
% 135.59/86.25 tff(16009,plain,
% 135.59/86.25 ($false),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16008, 15994, 15993, 15754])).
% 135.59/86.25 tff(16010,plain,(v84(constB93, bitIndex1) | v94(constB94) | v84(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.25 tff(16011,plain,
% 135.59/86.25 (v84(constB93, bitIndex1)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16010, 15707, 15753])).
% 135.59/86.25 tff(16012,plain,
% 135.59/86.25 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB93) | (~v116(constB93)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB93) | (~v116(constB93)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16013,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB93) | (~v116(constB93)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(16014,plain,
% 135.59/86.25 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB93) | (~v116(constB93))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[16013, 16012])).
% 135.59/86.25 tff(16015,plain,
% 135.59/86.25 (~v116(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16014, 934, 15995])).
% 135.59/86.25 tff(16016,plain,
% 135.59/86.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)) | v116(constB93))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)) | v116(constB93))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16017,plain,
% 135.59/86.25 (((~v84(constB93, bitIndex0)) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v116(constB93)) <=> ((~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)) | v116(constB93))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16018,plain,
% 135.59/86.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB93, bitIndex0)) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v116(constB93))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)) | v116(constB93)))),
% 135.59/86.25 inference(monotonicity,[status(thm)],[16017])).
% 135.59/86.25 tff(16019,plain,
% 135.59/86.25 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB93, bitIndex0)) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v116(constB93))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)) | v116(constB93))),
% 135.59/86.25 inference(transitivity,[status(thm)],[16018, 16016])).
% 135.59/86.25 tff(16020,plain,
% 135.59/86.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB93, bitIndex0)) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v116(constB93))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(16021,plain,
% 135.59/86.25 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)) | v116(constB93)),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[16020, 16019])).
% 135.59/86.25 tff(16022,plain,
% 135.59/86.25 ((~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0))),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16021, 1076, 16015])).
% 135.59/86.25 tff(16023,plain,
% 135.59/86.25 (~v84(constB93, bitIndex0)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16022, 15994, 16011])).
% 135.59/86.25 tff(16024,plain,
% 135.59/86.25 (~v115(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15978, 945, 15996])).
% 135.59/86.25 tff(16025,plain,
% 135.59/86.25 (v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15974, 1095, 16024])).
% 135.59/86.25 tff(16026,plain,
% 135.59/86.25 ($false),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16025, 16023, 15994, 16011])).
% 135.59/86.25 tff(16027,plain,(v84(constB94, bitIndex2) | v94(constB94)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.25 tff(16028,plain,
% 135.59/86.25 (v94(constB94)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16027, 15707])).
% 135.59/86.25 tff(16029,assumption,(~v145(constB93)), introduced(assumption)).
% 135.59/86.25 tff(16030,plain,
% 135.59/86.25 (v94(constB94)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15988, 15707, 15755])).
% 135.59/86.25 tff(16031,plain,
% 135.59/86.25 (~v123(constB94, bitIndex0)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15853, 1674, 795, 16030, 15755])).
% 135.59/86.25 tff(16032,plain,
% 135.59/86.25 (~v121(constB93, bitIndex0)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15858, 1708, 795, 15758, 16031])).
% 135.59/86.25 tff(16033,plain,
% 135.59/86.25 (~v124(constB93, bitIndex0)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[15865, 1728, 795, 15786, 16032])).
% 135.59/86.25 tff(16034,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB93)) | v124(constB93, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB93)) | v124(constB93, bitIndex0))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16035,plain,
% 135.59/86.25 (((~v115(constB93)) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB93)) | v124(constB93, bitIndex0))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16036,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB93)) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB93)) | v124(constB93, bitIndex0)))),
% 135.59/86.25 inference(monotonicity,[status(thm)],[16035])).
% 135.59/86.25 tff(16037,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB93)) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB93)) | v124(constB93, bitIndex0))),
% 135.59/86.25 inference(transitivity,[status(thm)],[16036, 16034])).
% 135.59/86.25 tff(16038,plain,
% 135.59/86.25 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB93)) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b011(bitIndex0)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(16039,plain,
% 135.59/86.25 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB93)) | v124(constB93, bitIndex0)),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[16038, 16037])).
% 135.59/86.25 tff(16040,plain,
% 135.59/86.25 (~v115(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16039, 1148, 1193, 795, 16033])).
% 135.59/86.25 tff(16041,assumption,(v121(constB93, bitIndex1)), introduced(assumption)).
% 135.59/86.25 tff(16042,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex1)) | (~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex1)) | (~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16043,plain,
% 135.59/86.25 ((v26(constB93) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1))) <=> (v26(constB93) | (~less_3(bitIndex1)) | (~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16044,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex1)) | (~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1)))),
% 135.59/86.25 inference(monotonicity,[status(thm)],[16043])).
% 135.59/86.25 tff(16045,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex1)) | (~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1))),
% 135.59/86.25 inference(transitivity,[status(thm)],[16044, 16042])).
% 135.59/86.25 tff(16046,plain,
% 135.59/86.25 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex1)) | v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1)))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(16047,plain,
% 135.59/86.25 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex1)) | (~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1)),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[16046, 16045])).
% 135.59/86.25 tff(16048,plain,
% 135.59/86.25 (v124(constB93, bitIndex1)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16047, 1380, 823, 15786, 16041])).
% 135.59/86.25 tff(16049,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB93)) | (~v124(constB93, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB93)) | (~v124(constB93, bitIndex1)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16050,plain,
% 135.59/86.25 (((~v116(constB93)) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB93)) | (~v124(constB93, bitIndex1)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16051,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB93)) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB93)) | (~v124(constB93, bitIndex1))))),
% 135.59/86.25 inference(monotonicity,[status(thm)],[16050])).
% 135.59/86.25 tff(16052,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB93)) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB93)) | (~v124(constB93, bitIndex1)))),
% 135.59/86.25 inference(transitivity,[status(thm)],[16051, 16049])).
% 135.59/86.25 tff(16053,plain,
% 135.59/86.25 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB93)) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b100(bitIndex1))),
% 135.59/86.25 inference(quant_inst,[status(thm)],[])).
% 135.59/86.25 tff(16054,plain,
% 135.59/86.25 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB93)) | (~v124(constB93, bitIndex1))),
% 135.59/86.25 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 135.59/86.25 tff(16055,plain,
% 135.59/86.25 (~v116(constB93)),
% 135.59/86.25 inference(unit_resolution,[status(thm)],[16054, 2167, 2164, 823, 16048])).
% 135.59/86.25 tff(16056,plain,
% 135.59/86.25 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB93)) | (~v124(constB93, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB93)) | (~v124(constB93, bitIndex1)))),
% 135.59/86.25 inference(rewrite,[status(thm)],[])).
% 135.59/86.25 tff(16057,plain,
% 135.59/86.25 (((~v113(constB93)) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB93)) | (~v124(constB93, bitIndex1)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16058,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB93)) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB93)) | (~v124(constB93, bitIndex1))))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16057])).
% 135.59/86.26 tff(16059,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB93)) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB93)) | (~v124(constB93, bitIndex1)))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16058, 16056])).
% 135.59/86.26 tff(16060,plain,
% 135.59/86.26 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB93)) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b100(bitIndex1))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16061,plain,
% 135.59/86.26 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB93)) | (~v124(constB93, bitIndex1))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16060, 16059])).
% 135.59/86.26 tff(16062,plain,
% 135.59/86.26 (~v113(constB93)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16061, 2167, 2186, 823, 16048])).
% 135.59/86.26 tff(16063,plain,
% 135.59/86.26 (~v123(constB94, bitIndex2)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[15776, 1674, 767, 16030, 15707])).
% 135.59/86.26 tff(16064,plain,
% 135.59/86.26 (~v121(constB93, bitIndex2)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[15781, 1708, 767, 15758, 16063])).
% 135.59/86.26 tff(16065,plain,
% 135.59/86.26 (~v124(constB93, bitIndex2)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[15792, 1728, 767, 15786, 16064])).
% 135.59/86.26 tff(16066,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB93)) | v124(constB93, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16067,plain,
% 135.59/86.26 (((~v172(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16068,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB93)) | v124(constB93, bitIndex2)))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16067])).
% 135.59/86.26 tff(16069,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB93)) | v124(constB93, bitIndex2))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16068, 16066])).
% 135.59/86.26 tff(16070,plain,
% 135.59/86.26 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB93)) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~b110(bitIndex2)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16071,plain,
% 135.59/86.26 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB93)) | v124(constB93, bitIndex2)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16070, 16069])).
% 135.59/86.26 tff(16072,plain,
% 135.59/86.26 (~v172(constB93)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16071, 2066, 1798, 767, 16065])).
% 135.59/86.26 tff(16073,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB93)) | v124(constB93, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB93)) | v124(constB93, bitIndex0))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16074,plain,
% 135.59/86.26 (((~v118(constB93)) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB93)) | v124(constB93, bitIndex0))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16075,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB93)) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB93)) | v124(constB93, bitIndex0)))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16074])).
% 135.59/86.26 tff(16076,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB93)) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB93)) | v124(constB93, bitIndex0))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16075, 16073])).
% 135.59/86.26 tff(16077,plain,
% 135.59/86.26 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB93)) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~b011(bitIndex0)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16078,plain,
% 135.59/86.26 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB93)) | v124(constB93, bitIndex0)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16077, 16076])).
% 135.59/86.26 tff(16079,plain,
% 135.59/86.26 (~v118(constB93)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16078, 1148, 1145, 795, 16033])).
% 135.59/86.26 tff(16080,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB93) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | (~v124(constB93, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB93) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | (~v124(constB93, bitIndex1)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16081,plain,
% 135.59/86.26 ((v113(constB93) | v145(constB93) | v115(constB93) | v116(constB93) | v172(constB93) | v118(constB93) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB93) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | (~v124(constB93, bitIndex1)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16082,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB93) | v145(constB93) | v115(constB93) | v116(constB93) | v172(constB93) | v118(constB93) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB93) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | (~v124(constB93, bitIndex1))))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16081])).
% 135.59/86.26 tff(16083,plain,
% 135.59/86.26 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB93) | v145(constB93) | v115(constB93) | v116(constB93) | v172(constB93) | v118(constB93) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB93) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | (~v124(constB93, bitIndex1)))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16082, 16080])).
% 135.59/86.26 tff(16084,plain,
% 135.59/86.26 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB93) | v145(constB93) | v115(constB93) | v116(constB93) | v172(constB93) | v118(constB93) | (~less_3(bitIndex1)) | (~v124(constB93, bitIndex1)) | b001(bitIndex1))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16085,plain,
% 135.59/86.26 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB93) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93) | (~v124(constB93, bitIndex1))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16084, 16083])).
% 135.59/86.26 tff(16086,plain,
% 135.59/86.26 (v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16085, 2601, 2424, 823, 16029, 16048])).
% 135.59/86.26 tff(16087,plain,
% 135.59/86.26 ($false),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16086, 16079, 16072, 16062, 16055, 16040])).
% 135.59/86.26 tff(16088,plain,((~v121(constB93, bitIndex1)) | v145(constB93) | v84(constB94, bitIndex0) | v84(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.26 tff(16089,plain,
% 135.59/86.26 (~v121(constB93, bitIndex1)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16088, 15755, 16029, 15707])).
% 135.59/86.26 tff(16090,plain,
% 135.59/86.26 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB94)) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB94)) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16091,plain,
% 135.59/86.26 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB94)) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16092,plain,
% 135.59/86.26 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB94)) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16091, 16090])).
% 135.59/86.26 tff(16093,plain,
% 135.59/86.26 (v123(constB94, bitIndex1)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16092, 1344, 823, 15770, 15619])).
% 135.59/86.26 tff(16094,assumption,(~v121(constB93, bitIndex1)), introduced(assumption)).
% 135.59/86.26 tff(16095,plain,
% 135.59/86.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16096,plain,
% 135.59/86.26 (((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | (~v123(constB94, bitIndex1)) | v121(constB93, bitIndex1)) <=> ((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16097,plain,
% 135.59/86.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | (~v123(constB94, bitIndex1)) | v121(constB93, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1))))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16096])).
% 135.59/86.26 tff(16098,plain,
% 135.59/86.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | (~v123(constB94, bitIndex1)) | v121(constB93, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1)))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16097, 16095])).
% 135.59/86.26 tff(16099,plain,
% 135.59/86.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | (~v123(constB94, bitIndex1)) | v121(constB93, bitIndex1))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16100,plain,
% 135.59/86.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex1)) | v121(constB93, bitIndex1) | (~v123(constB94, bitIndex1))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16099, 16098])).
% 135.59/86.26 tff(16101,plain,
% 135.59/86.26 ($false),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16100, 1362, 823, 15758, 16094, 16093])).
% 135.59/86.26 tff(16102,plain,(v121(constB93, bitIndex1) | (~v94(constB94)) | (~v84(constB94, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.26 tff(16103,plain,
% 135.59/86.26 ($false),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16102, 16089, 15966, 15770])).
% 135.59/86.26 tff(16104,plain,(v84(constB94, bitIndex0) | (~v94(constB94)) | v145(constB93) | v84(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.26 tff(16105,plain,
% 135.59/86.26 (v145(constB93)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16104, 15755, 15707, 16028])).
% 135.59/86.26 tff(16106,plain,
% 135.59/86.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB93)) | (~v84(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB93)) | (~v84(constB93, bitIndex1)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16107,plain,
% 135.59/86.26 (((~v84(constB93, bitIndex1)) | (~v145(constB93))) <=> ((~v145(constB93)) | (~v84(constB93, bitIndex1)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16108,plain,
% 135.59/86.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex1)) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB93)) | (~v84(constB93, bitIndex1))))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16107])).
% 135.59/86.26 tff(16109,plain,
% 135.59/86.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex1)) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB93)) | (~v84(constB93, bitIndex1)))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16108, 16106])).
% 135.59/86.26 tff(16110,plain,
% 135.59/86.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex1)) | (~v145(constB93)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16111,plain,
% 135.59/86.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB93)) | (~v84(constB93, bitIndex1))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 135.59/86.26 tff(16112,plain,
% 135.59/86.26 (~v84(constB93, bitIndex1)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16111, 816, 16105])).
% 135.59/86.26 tff(16113,assumption,(v84(constB92, bitIndex1)), introduced(assumption)).
% 135.59/86.26 tff(16114,plain,
% 135.59/86.26 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16115,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_92_1')).
% 135.59/86.26 tff(16116,plain,
% 135.59/86.26 (nextState(constB92, constB93)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16115, 16114])).
% 135.59/86.26 tff(16117,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16118,plain,
% 135.59/86.26 (((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93)) <=> (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16119,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16118])).
% 135.59/86.26 tff(16120,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93)))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16119, 16117])).
% 135.59/86.26 tff(16121,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB92, constB93)) | (~v95(constB93)) | v1(constB93))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16122,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB93) | (~nextState(constB92, constB93)) | (~v95(constB93))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 135.59/86.26 tff(16123,plain,
% 135.59/86.26 (~v95(constB93)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16122, 742, 16116, 15886])).
% 135.59/86.26 tff(16124,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16125,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16126,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB92, constB93)) | v95(constB93) | (~v94(constB93))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16125, 16124])).
% 135.59/86.26 tff(16127,plain,
% 135.59/86.26 (v95(constB93) | (~v94(constB93))),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16126, 759, 16116])).
% 135.59/86.26 tff(16128,plain,
% 135.59/86.26 (~v94(constB93)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16127, 16123])).
% 135.59/86.26 tff(16129,plain,
% 135.59/86.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex1)) | v84(constB93, bitIndex1) | (~v84(constB92, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex1)) | v84(constB93, bitIndex1) | (~v84(constB92, bitIndex1)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16130,plain,
% 135.59/86.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex1)) | v84(constB93, bitIndex1) | (~v84(constB92, bitIndex1)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16131,plain,
% 135.59/86.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex1)) | v84(constB93, bitIndex1) | (~v84(constB92, bitIndex1))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16130, 16129])).
% 135.59/86.26 tff(16132,plain,
% 135.59/86.26 ($false),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16131, 777, 823, 16116, 16128, 16113, 15754])).
% 135.59/86.26 tff(16133,plain,(v84(constB93, bitIndex1) | (~v84(constB92, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.26 tff(16134,plain,
% 135.59/86.26 (~v84(constB92, bitIndex1)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16133, 16112])).
% 135.59/86.26 tff(16135,assumption,(v84(constB93, bitIndex2)), introduced(assumption)).
% 135.59/86.26 tff(16136,assumption,(v145(constB93)), introduced(assumption)).
% 135.59/86.26 tff(16137,plain,
% 135.59/86.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB93)) | (~v84(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB93)) | (~v84(constB93, bitIndex2)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16138,plain,
% 135.59/86.26 (((~v84(constB93, bitIndex2)) | (~v145(constB93))) <=> ((~v145(constB93)) | (~v84(constB93, bitIndex2)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16139,plain,
% 135.59/86.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB93)) | (~v84(constB93, bitIndex2))))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16138])).
% 135.59/86.26 tff(16140,plain,
% 135.59/86.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB93)) | (~v84(constB93, bitIndex2)))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16139, 16137])).
% 135.59/86.26 tff(16141,plain,
% 135.59/86.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v145(constB93)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16142,plain,
% 135.59/86.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB93)) | (~v84(constB93, bitIndex2))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16141, 16140])).
% 135.59/86.26 tff(16143,plain,
% 135.59/86.26 ($false),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16142, 725, 16136, 16135])).
% 135.59/86.26 tff(16144,plain,((~v145(constB93)) | (~v84(constB93, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.26 tff(16145,plain,
% 135.59/86.26 (~v84(constB93, bitIndex2)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16144, 16105])).
% 135.59/86.26 tff(16146,assumption,(~v84(constB93, bitIndex2)), introduced(assumption)).
% 135.59/86.26 tff(16147,assumption,(v84(constB92, bitIndex2)), introduced(assumption)).
% 135.59/86.26 tff(16148,plain,
% 135.59/86.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex2)) | v84(constB93, bitIndex2) | (~v84(constB92, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex2)) | v84(constB93, bitIndex2) | (~v84(constB92, bitIndex2)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16149,plain,
% 135.59/86.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex2)) | v84(constB93, bitIndex2) | (~v84(constB92, bitIndex2)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16150,plain,
% 135.59/86.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex2)) | v84(constB93, bitIndex2) | (~v84(constB92, bitIndex2))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16149, 16148])).
% 135.59/86.26 tff(16151,plain,
% 135.59/86.26 ($false),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16150, 777, 767, 16116, 16128, 16147, 16146])).
% 135.59/86.26 tff(16152,plain,((~v84(constB92, bitIndex2)) | v84(constB93, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.26 tff(16153,plain,
% 135.59/86.26 (~v84(constB92, bitIndex2)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16152, 16145])).
% 135.59/86.26 tff(16154,assumption,(~v94(constB92)), introduced(assumption)).
% 135.59/86.26 tff(16155,plain,
% 135.59/86.26 ((~v1(constB91)) <=> (~v1(constB91))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16156,axiom,(~v1(constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_91_1_1')).
% 135.59/86.26 tff(16157,plain,
% 135.59/86.26 (~v1(constB91)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16156, 16155])).
% 135.59/86.26 tff(16158,plain,
% 135.59/86.26 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16159,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_91_1')).
% 135.59/86.26 tff(16160,plain,
% 135.59/86.26 (nextState(constB91, constB92)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16159, 16158])).
% 135.59/86.26 tff(16161,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16162,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16163,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB91) | (~nextState(constB91, constB92)) | (~v98(constB92))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16162, 16161])).
% 135.59/86.26 tff(16164,plain,
% 135.59/86.26 (~v98(constB92)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16163, 541, 16160, 16157])).
% 135.59/86.26 tff(16165,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16166,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB91, constB92)) | v96(constB92) | v98(constB92))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16167,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB91, constB92)) | v96(constB92) | v98(constB92)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16166, 16165])).
% 135.59/86.26 tff(16168,plain,
% 135.59/86.26 (v96(constB92) | v98(constB92)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16167, 555, 16160])).
% 135.59/86.26 tff(16169,plain,
% 135.59/86.26 (v96(constB92)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16168, 16164])).
% 135.59/86.26 tff(16170,plain,
% 135.59/86.26 (v1(constB92) <=> v1(constB92)),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16171,axiom,(v1(constB92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_92_1')).
% 135.59/86.26 tff(16172,plain,
% 135.59/86.26 (v1(constB92)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16171, 16170])).
% 135.59/86.26 tff(16173,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16174,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16175,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB91, constB92)) | v95(constB92) | (~v96(constB92)) | (~v1(constB92))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16174, 16173])).
% 135.59/86.26 tff(16176,plain,
% 135.59/86.26 (v95(constB92) | (~v96(constB92))),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16175, 573, 16160, 16172])).
% 135.59/86.26 tff(16177,plain,
% 135.59/86.26 (v95(constB92)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16176, 16169])).
% 135.59/86.26 tff(16178,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16179,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16180,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB91, constB92)) | (~v95(constB92)) | (~v104(constB92)) | v94(constB92)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16179, 16178])).
% 135.59/86.26 tff(16181,plain,
% 135.59/86.26 ((~v95(constB92)) | (~v104(constB92)) | v94(constB92)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16180, 588, 16160])).
% 135.59/86.26 tff(16182,plain,
% 135.59/86.26 ((~v104(constB92)) | v94(constB92)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16181, 16177])).
% 135.59/86.26 tff(16183,plain,
% 135.59/86.26 (~v104(constB92)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16182, 16154])).
% 135.59/86.26 tff(16184,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16185,plain,
% 135.59/86.26 (((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92)) <=> ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16186,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))))),
% 135.59/86.26 inference(monotonicity,[status(thm)],[16185])).
% 135.59/86.26 tff(16187,plain,
% 135.59/86.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91)))),
% 135.59/86.26 inference(transitivity,[status(thm)],[16186, 16184])).
% 135.59/86.26 tff(16188,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB91, constB92)) | (~v102(constB91)) | v104(constB92))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16189,plain,
% 135.59/86.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v102(constB91))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 135.59/86.26 tff(16190,plain,
% 135.59/86.26 (v104(constB92) | (~v102(constB91))),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16189, 604, 16160])).
% 135.59/86.26 tff(16191,plain,
% 135.59/86.26 (~v102(constB91)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16190, 16183])).
% 135.59/86.26 tff(16192,plain,
% 135.59/86.26 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB91) | (~v106(constB91)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB91) | (~v106(constB91)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16193,plain,
% 135.59/86.26 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB91) | (~v106(constB91)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16194,plain,
% 135.59/86.26 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB91) | (~v106(constB91))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16193, 16192])).
% 135.59/86.26 tff(16195,plain,
% 135.59/86.26 (~v106(constB91)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16194, 619, 16191])).
% 135.59/86.26 tff(16196,assumption,(v26(constB91)), introduced(assumption)).
% 135.59/86.26 tff(16197,plain,
% 135.59/86.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16198,plain,
% 135.59/86.26 ($false),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16197, 1172, 16196])).
% 135.59/86.26 tff(16199,plain,(~v26(constB91)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.26 tff(16200,plain,
% 135.59/86.26 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16201,plain,
% 135.59/86.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB91) | (~v107(constB91)) | v106(constB91))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16202,plain,
% 135.59/86.26 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB91) | (~v107(constB91)) | v106(constB91)),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16201, 16200])).
% 135.59/86.26 tff(16203,plain,
% 135.59/86.26 ((~v107(constB91)) | v106(constB91)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16202, 644, 16199])).
% 135.59/86.26 tff(16204,plain,
% 135.59/86.26 (~v107(constB91)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16203, 16195])).
% 135.59/86.26 tff(16205,plain,
% 135.59/86.26 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB91) | (~v108(constB91)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB91) | (~v108(constB91)))),
% 135.59/86.26 inference(rewrite,[status(thm)],[])).
% 135.59/86.26 tff(16206,plain,
% 135.59/86.26 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB91) | (~v108(constB91)))),
% 135.59/86.26 inference(quant_inst,[status(thm)],[])).
% 135.59/86.26 tff(16207,plain,
% 135.59/86.26 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB91) | (~v108(constB91))),
% 135.59/86.26 inference(modus_ponens,[status(thm)],[16206, 16205])).
% 135.59/86.26 tff(16208,plain,
% 135.59/86.26 (~v108(constB91)),
% 135.59/86.26 inference(unit_resolution,[status(thm)],[16207, 658, 16204])).
% 135.59/86.27 tff(16209,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB91) | (~v109(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB91) | (~v109(constB91)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16210,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB91) | (~v109(constB91)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16211,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB91) | (~v109(constB91))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 135.59/86.27 tff(16212,plain,
% 135.59/86.27 (~v109(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16211, 669, 16208])).
% 135.59/86.27 tff(16213,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB91) | (~v110(constB91)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB91) | (~v110(constB91)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16214,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB91) | (~v110(constB91)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16215,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB91) | (~v110(constB91))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16214, 16213])).
% 135.59/86.27 tff(16216,plain,
% 135.59/86.27 (~v110(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16215, 680, 16212])).
% 135.59/86.27 tff(16217,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB91) | (~v111(constB91)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB91) | (~v111(constB91)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16218,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB91) | (~v111(constB91)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16219,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB91) | (~v111(constB91))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16218, 16217])).
% 135.59/86.27 tff(16220,plain,
% 135.59/86.27 (~v111(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16219, 691, 16216])).
% 135.59/86.27 tff(16221,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB91) | (~v112(constB91)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16222,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB91) | (~v112(constB91)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16223,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB91) | (~v112(constB91))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 135.59/86.27 tff(16224,plain,
% 135.59/86.27 (~v112(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16223, 702, 16220])).
% 135.59/86.27 tff(16225,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB91) | (~v113(constB91)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB91) | (~v113(constB91)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16226,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB91) | (~v113(constB91)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16227,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB91) | (~v113(constB91))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16226, 16225])).
% 135.59/86.27 tff(16228,plain,
% 135.59/86.27 (~v113(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16227, 969, 16224])).
% 135.59/86.27 tff(16229,plain,
% 135.59/86.27 (~v84(constB92, bitIndex2)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16150, 777, 767, 16116, 16128, 15768])).
% 135.59/86.27 tff(16230,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB92, bitIndex2) | (~v84(constB91, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB92, bitIndex2) | (~v84(constB91, bitIndex2)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16231,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB92, bitIndex2) | (~v84(constB91, bitIndex2)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16232,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB92, bitIndex2) | (~v84(constB91, bitIndex2))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 135.59/86.27 tff(16233,plain,
% 135.59/86.27 (~v84(constB91, bitIndex2)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16232, 777, 767, 16160, 16154, 16229])).
% 135.59/86.27 tff(16234,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex0)) | v84(constB93, bitIndex0) | (~v84(constB92, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex0)) | v84(constB93, bitIndex0) | (~v84(constB92, bitIndex0)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16235,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex0)) | v84(constB93, bitIndex0) | (~v84(constB92, bitIndex0)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16236,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex0)) | v84(constB93, bitIndex0) | (~v84(constB92, bitIndex0))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16235, 16234])).
% 135.59/86.27 tff(16237,plain,
% 135.59/86.27 (~v84(constB92, bitIndex0)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16236, 777, 795, 16116, 16128, 15763])).
% 135.59/86.27 tff(16238,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB92, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB92, bitIndex0))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16239,plain,
% 135.59/86.27 (((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v84(constB91, bitIndex0))) <=> ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB92, bitIndex0))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16240,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v84(constB91, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB92, bitIndex0)))),
% 135.59/86.27 inference(monotonicity,[status(thm)],[16239])).
% 135.59/86.27 tff(16241,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v84(constB91, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB92, bitIndex0))),
% 135.59/86.27 inference(transitivity,[status(thm)],[16240, 16238])).
% 135.59/86.27 tff(16242,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v84(constB91, bitIndex0)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16243,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB92, bitIndex0)),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16242, 16241])).
% 135.59/86.27 tff(16244,plain,
% 135.59/86.27 (~v84(constB91, bitIndex0)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16243, 777, 795, 16160, 16154, 16237])).
% 135.59/86.27 tff(16245,assumption,(~v84(constB91, bitIndex1)), introduced(assumption)).
% 135.59/86.27 tff(16246,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB91) | v84(constB91, bitIndex0) | v84(constB91, bitIndex1) | v84(constB91, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB91) | v84(constB91, bitIndex0) | v84(constB91, bitIndex1) | v84(constB91, bitIndex2))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16247,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB91) | v84(constB91, bitIndex0) | v84(constB91, bitIndex1) | v84(constB91, bitIndex2))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16248,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB91) | v84(constB91, bitIndex0) | v84(constB91, bitIndex1) | v84(constB91, bitIndex2)),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16247, 16246])).
% 135.59/86.27 tff(16249,plain,
% 135.59/86.27 (v113(constB91) | v84(constB91, bitIndex0) | v84(constB91, bitIndex2)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16248, 983, 16245])).
% 135.59/86.27 tff(16250,plain,
% 135.59/86.27 ($false),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16249, 16244, 16233, 16228])).
% 135.59/86.27 tff(16251,plain,(v94(constB94) | v84(constB91, bitIndex1) | v94(constB92) | v84(constB94, bitIndex2) | v84(constB94, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.27 tff(16252,plain,
% 135.59/86.27 (v84(constB91, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16251, 15753, 15755, 15707, 16154])).
% 135.59/86.27 tff(16253,assumption,(v84(constB91, bitIndex1)), introduced(assumption)).
% 135.59/86.27 tff(16254,assumption,(~v84(constB92, bitIndex1)), introduced(assumption)).
% 135.59/86.27 tff(16255,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v84(constB91, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v84(constB91, bitIndex1)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16256,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v84(constB91, bitIndex1)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16257,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v84(constB91, bitIndex1))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16256, 16255])).
% 135.59/86.27 tff(16258,plain,
% 135.59/86.27 ($false),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16257, 777, 823, 16160, 16154, 16254, 16253])).
% 135.59/86.27 tff(16259,plain,(v84(constB92, bitIndex1) | v94(constB92) | (~v84(constB91, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.27 tff(16260,plain,
% 135.59/86.27 (v84(constB92, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16259, 16252, 16154])).
% 135.59/86.27 tff(16261,assumption,(~v106(constB91)), introduced(assumption)).
% 135.59/86.27 tff(16262,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB91)) | v26(constB91) | v106(constB91))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB91)) | v26(constB91) | v106(constB91))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16263,plain,
% 135.59/86.27 ((v26(constB91) | v106(constB91) | (~v102(constB91))) <=> ((~v102(constB91)) | v26(constB91) | v106(constB91))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16264,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB91) | v106(constB91) | (~v102(constB91)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB91)) | v26(constB91) | v106(constB91)))),
% 135.59/86.27 inference(monotonicity,[status(thm)],[16263])).
% 135.59/86.27 tff(16265,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB91) | v106(constB91) | (~v102(constB91)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB91)) | v26(constB91) | v106(constB91))),
% 135.59/86.27 inference(transitivity,[status(thm)],[16264, 16262])).
% 135.59/86.27 tff(16266,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB91) | v106(constB91) | (~v102(constB91)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16267,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB91)) | v26(constB91) | v106(constB91)),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 135.59/86.27 tff(16268,plain,
% 135.59/86.27 ((~v102(constB91)) | v106(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16267, 3146, 16199])).
% 135.59/86.27 tff(16269,plain,
% 135.59/86.27 (~v102(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16268, 16261])).
% 135.59/86.27 tff(16270,plain,
% 135.59/86.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB91, constB92)) | (~v104(constB92)) | v102(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB91, constB92)) | (~v104(constB92)) | v102(constB91))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16271,plain,
% 135.59/86.27 (((~nextState(constB91, constB92)) | v102(constB91) | (~v104(constB92))) <=> ((~nextState(constB91, constB92)) | (~v104(constB92)) | v102(constB91))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16272,plain,
% 135.59/86.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB91, constB92)) | v102(constB91) | (~v104(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB91, constB92)) | (~v104(constB92)) | v102(constB91)))),
% 135.59/86.27 inference(monotonicity,[status(thm)],[16271])).
% 135.59/86.27 tff(16273,plain,
% 135.59/86.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB91, constB92)) | v102(constB91) | (~v104(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB91, constB92)) | (~v104(constB92)) | v102(constB91))),
% 135.59/86.27 inference(transitivity,[status(thm)],[16272, 16270])).
% 135.59/86.27 tff(16274,plain,
% 135.59/86.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB91, constB92)) | v102(constB91) | (~v104(constB92)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16275,plain,
% 135.59/86.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB91, constB92)) | (~v104(constB92)) | v102(constB91)),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16274, 16273])).
% 135.59/86.27 tff(16276,plain,
% 135.59/86.27 ((~v104(constB92)) | v102(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16275, 3128, 16160])).
% 135.59/86.27 tff(16277,plain,
% 135.59/86.27 (~v104(constB92)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16276, 16269])).
% 135.59/86.27 tff(16278,plain,
% 135.59/86.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v94(constB92)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v94(constB92)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16279,plain,
% 135.59/86.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB91, constB92)) | v104(constB92) | (~v94(constB92)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16280,plain,
% 135.59/86.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB91, constB92)) | v104(constB92) | (~v94(constB92))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16279, 16278])).
% 135.59/86.27 tff(16281,plain,
% 135.59/86.27 (v104(constB92) | (~v94(constB92))),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16280, 3113, 16160])).
% 135.59/86.27 tff(16282,plain,
% 135.59/86.27 (~v94(constB92)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16281, 16277])).
% 135.59/86.27 tff(16283,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB92, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB92, bitIndex1)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16284,plain,
% 135.59/86.27 (((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | (~v84(constB92, bitIndex1)) | v84(constB91, bitIndex1)) <=> ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB92, bitIndex1)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16285,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | (~v84(constB92, bitIndex1)) | v84(constB91, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB92, bitIndex1))))),
% 135.59/86.27 inference(monotonicity,[status(thm)],[16284])).
% 135.59/86.27 tff(16286,plain,
% 135.59/86.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | (~v84(constB92, bitIndex1)) | v84(constB91, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB92, bitIndex1)))),
% 135.59/86.27 inference(transitivity,[status(thm)],[16285, 16283])).
% 135.59/86.27 tff(16287,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | (~v84(constB92, bitIndex1)) | v84(constB91, bitIndex1))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16288,plain,
% 135.59/86.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB92, bitIndex1))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16287, 16286])).
% 135.59/86.27 tff(16289,plain,
% 135.59/86.27 (v94(constB92) | v84(constB91, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16288, 805, 823, 16160, 16113])).
% 135.59/86.27 tff(16290,plain,
% 135.59/86.27 (v84(constB91, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16289, 16282])).
% 135.59/86.27 tff(16291,assumption,(~v84(constB92, bitIndex2)), introduced(assumption)).
% 135.59/86.27 tff(16292,plain,
% 135.59/86.27 (v94(constB92) | (~v84(constB91, bitIndex2))),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16232, 777, 767, 16160, 16291])).
% 135.59/86.27 tff(16293,plain,
% 135.59/86.27 (~v84(constB91, bitIndex2)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16292, 16282])).
% 135.59/86.27 tff(16294,assumption,(~v84(constB91, bitIndex0)), introduced(assumption)).
% 135.59/86.27 tff(16295,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB91, bitIndex0) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v115(constB91))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB91, bitIndex0) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v115(constB91))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16296,plain,
% 135.59/86.27 ((v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v115(constB91)) <=> (v84(constB91, bitIndex0) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v115(constB91))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16297,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v115(constB91))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB91, bitIndex0) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v115(constB91)))),
% 135.59/86.27 inference(monotonicity,[status(thm)],[16296])).
% 135.59/86.27 tff(16298,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v115(constB91))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB91, bitIndex0) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v115(constB91))),
% 135.59/86.27 inference(transitivity,[status(thm)],[16297, 16295])).
% 135.59/86.27 tff(16299,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v115(constB91))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16300,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB91, bitIndex0) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v115(constB91)),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16299, 16298])).
% 135.59/86.27 tff(16301,plain,
% 135.59/86.27 (v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v115(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16300, 1095, 16294])).
% 135.59/86.27 tff(16302,plain,
% 135.59/86.27 (v115(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16301, 16293, 16290])).
% 135.59/86.27 tff(16303,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB91) | (~v115(constB91)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB91) | (~v115(constB91)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16304,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB91) | (~v115(constB91)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16305,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB91) | (~v115(constB91))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16304, 16303])).
% 135.59/86.27 tff(16306,plain,
% 135.59/86.27 (v111(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16305, 945, 16302])).
% 135.59/86.27 tff(16307,plain,
% 135.59/86.27 (v110(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16219, 691, 16306])).
% 135.59/86.27 tff(16308,plain,
% 135.59/86.27 (~v107(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16203, 16261])).
% 135.59/86.27 tff(16309,plain,
% 135.59/86.27 (~v108(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16207, 658, 16308])).
% 135.59/86.27 tff(16310,plain,
% 135.59/86.27 (~v109(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16211, 669, 16309])).
% 135.59/86.27 tff(16311,plain,
% 135.59/86.27 ($false),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16215, 680, 16310, 16307])).
% 135.59/86.27 tff(16312,plain,(v106(constB91) | v84(constB91, bitIndex0) | v84(constB92, bitIndex2) | (~v84(constB92, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.27 tff(16313,plain,
% 135.59/86.27 (v84(constB91, bitIndex0)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16312, 16261, 16291, 16113])).
% 135.59/86.27 tff(16314,plain,
% 135.59/86.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v116(constB91))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v116(constB91))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16315,plain,
% 135.59/86.27 (((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91)) <=> ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v116(constB91))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16316,plain,
% 135.59/86.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v116(constB91)))),
% 135.59/86.27 inference(monotonicity,[status(thm)],[16315])).
% 135.59/86.27 tff(16317,plain,
% 135.59/86.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v116(constB91))),
% 135.59/86.27 inference(transitivity,[status(thm)],[16316, 16314])).
% 135.59/86.27 tff(16318,plain,
% 135.59/86.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB91, bitIndex0)) | (~v84(constB91, bitIndex1)) | v84(constB91, bitIndex2) | v116(constB91))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16319,plain,
% 135.59/86.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | v116(constB91)),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 135.59/86.27 tff(16320,plain,
% 135.59/86.27 (v116(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16319, 1076, 16313, 16293, 16290])).
% 135.59/86.27 tff(16321,plain,
% 135.59/86.27 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB91) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB91) | (~v116(constB91)))),
% 135.59/86.27 inference(rewrite,[status(thm)],[])).
% 135.59/86.27 tff(16322,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB91) | (~v116(constB91)))),
% 135.59/86.27 inference(quant_inst,[status(thm)],[])).
% 135.59/86.27 tff(16323,plain,
% 135.59/86.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB91) | (~v116(constB91))),
% 135.59/86.27 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 135.59/86.27 tff(16324,plain,
% 135.59/86.27 (v110(constB91)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16323, 934, 16320])).
% 135.59/86.27 tff(16325,plain,
% 135.59/86.27 ($false),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16215, 680, 16310, 16324])).
% 135.59/86.27 tff(16326,plain,(v106(constB91) | v84(constB92, bitIndex2) | (~v84(constB92, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.27 tff(16327,plain,
% 135.59/86.27 (v84(constB92, bitIndex2)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16326, 16260, 16195])).
% 135.59/86.27 tff(16328,plain,
% 135.59/86.27 ($false),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16150, 777, 767, 16116, 16128, 16327, 15768])).
% 135.59/86.27 tff(16329,plain,(v94(constB94) | v94(constB92) | v84(constB94, bitIndex0) | v84(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.27 tff(16330,plain,
% 135.59/86.27 (v94(constB94)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16329, 16154, 15755, 15707])).
% 135.59/86.27 tff(16331,plain,
% 135.59/86.27 ((~v94(constB94)) | v123(constB94, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16092, 1344, 823, 15966])).
% 135.59/86.27 tff(16332,plain,
% 135.59/86.27 (v123(constB94, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16331, 16330])).
% 135.59/86.27 tff(16333,plain,
% 135.59/86.27 (v121(constB93, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16100, 1362, 823, 15758, 16332])).
% 135.59/86.27 tff(16334,plain,
% 135.59/86.27 (v124(constB93, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16047, 1380, 823, 15786, 16333])).
% 135.59/86.27 tff(16335,plain,
% 135.59/86.27 (~v113(constB93)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16061, 2167, 2186, 823, 16334])).
% 135.59/86.27 tff(16336,plain,
% 135.59/86.27 (~v123(constB94, bitIndex0)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[15854, 16330])).
% 135.59/86.27 tff(16337,plain,
% 135.59/86.27 (~v121(constB93, bitIndex0)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[15858, 1708, 795, 15758, 16336])).
% 135.59/86.27 tff(16338,plain,
% 135.59/86.27 (~v124(constB93, bitIndex0)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[15865, 1728, 795, 15786, 16337])).
% 135.59/86.27 tff(16339,plain,
% 135.59/86.27 (~v115(constB93)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16039, 1148, 1193, 795, 16338])).
% 135.59/86.27 tff(16340,plain,
% 135.59/86.27 (~v116(constB93)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16054, 2167, 2164, 823, 16334])).
% 135.59/86.27 tff(16341,plain,
% 135.59/86.27 (~v123(constB94, bitIndex2)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[15777, 16330])).
% 135.59/86.27 tff(16342,plain,
% 135.59/86.27 (~v121(constB93, bitIndex2)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[15781, 1708, 767, 15758, 16341])).
% 135.59/86.27 tff(16343,plain,
% 135.59/86.27 (~v124(constB93, bitIndex2)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[15792, 1728, 767, 15786, 16342])).
% 135.59/86.27 tff(16344,plain,
% 135.59/86.27 (~v172(constB93)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16071, 2066, 1798, 767, 16343])).
% 135.59/86.27 tff(16345,plain,
% 135.59/86.27 (~v118(constB93)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16078, 1148, 1145, 795, 16338])).
% 135.59/86.27 tff(16346,plain,
% 135.59/86.27 (v145(constB93) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16085, 2601, 2424, 823, 16334])).
% 135.59/86.27 tff(16347,plain,
% 135.59/86.27 (v145(constB93)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16346, 16345, 16344, 16340, 16339, 16335])).
% 135.59/86.27 tff(16348,plain,
% 135.59/86.27 (~v84(constB93, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16111, 816, 16347])).
% 135.59/86.27 tff(16349,plain,
% 135.59/86.27 (~v84(constB92, bitIndex1)),
% 135.59/86.27 inference(unit_resolution,[status(thm)],[16133, 16348])).
% 135.59/86.27 tff(16350,plain,
% 135.59/86.28 (~v84(constB91, bitIndex1)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16259, 16349, 16154])).
% 135.59/86.28 tff(16351,plain,
% 135.59/86.28 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB91) | (~v172(constB91)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB91) | (~v172(constB91)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16352,plain,
% 135.59/86.28 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB91) | (~v172(constB91)))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16353,plain,
% 135.59/86.28 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB91) | (~v172(constB91))),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16352, 16351])).
% 135.59/86.28 tff(16354,plain,
% 135.59/86.28 (~v172(constB91)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16353, 1033, 16212])).
% 135.59/86.28 tff(16355,plain,
% 135.59/86.28 (~v84(constB91, bitIndex1)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16259, 16154, 16254])).
% 135.59/86.28 tff(16356,assumption,(~v84(constB92, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16357,plain,
% 135.59/86.28 (v94(constB92) | (~v84(constB91, bitIndex0))),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16243, 777, 795, 16160, 16356])).
% 135.59/86.28 tff(16358,plain,
% 135.59/86.28 (~v84(constB91, bitIndex0)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16357, 16154])).
% 135.59/86.28 tff(16359,plain,
% 135.59/86.28 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB91, bitIndex0) | v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v172(constB91))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB91, bitIndex0) | v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v172(constB91))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16360,plain,
% 135.59/86.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB91, bitIndex0) | v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v172(constB91))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16361,plain,
% 135.59/86.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB91, bitIndex0) | v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v172(constB91)),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16360, 16359])).
% 135.59/86.28 tff(16362,plain,
% 135.59/86.28 ((~v84(constB91, bitIndex2)) | v172(constB91)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16361, 1047, 16358, 16355])).
% 135.59/86.28 tff(16363,plain,
% 135.59/86.28 (~v84(constB91, bitIndex2)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16362, 16354])).
% 135.59/86.28 tff(16364,plain,
% 135.59/86.28 (v113(constB91) | v84(constB91, bitIndex2)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16248, 983, 16358, 16355])).
% 135.59/86.28 tff(16365,plain,
% 135.59/86.28 (v113(constB91)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16364, 16363])).
% 135.59/86.28 tff(16366,plain,
% 135.59/86.28 (v112(constB91)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16227, 969, 16365])).
% 135.59/86.28 tff(16367,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16223, 702, 16220, 16366])).
% 135.59/86.28 tff(16368,plain,(v94(constB92) | v84(constB92, bitIndex0) | v84(constB92, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16369,plain,
% 135.59/86.28 (v84(constB92, bitIndex0)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16368, 16349, 16154])).
% 135.59/86.28 tff(16370,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB92, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB92, bitIndex0)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16371,plain,
% 135.59/86.28 (((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB92, bitIndex0)) | v84(constB91, bitIndex0)) <=> ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB92, bitIndex0)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16372,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB92, bitIndex0)) | v84(constB91, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB92, bitIndex0))))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16371])).
% 135.59/86.28 tff(16373,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB92, bitIndex0)) | v84(constB91, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB92, bitIndex0)))),
% 135.59/86.28 inference(transitivity,[status(thm)],[16372, 16370])).
% 135.59/86.28 tff(16374,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | (~v84(constB92, bitIndex0)) | v84(constB91, bitIndex0))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16375,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB92, bitIndex0))),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16374, 16373])).
% 135.59/86.28 tff(16376,plain,
% 135.59/86.28 (v84(constB91, bitIndex0)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16375, 805, 795, 16160, 16154, 16369])).
% 135.59/86.28 tff(16377,plain,
% 135.59/86.28 (~v84(constB93, bitIndex2)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16142, 725, 16347])).
% 135.59/86.28 tff(16378,plain,
% 135.59/86.28 (~v84(constB92, bitIndex2)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16150, 777, 767, 16116, 16128, 16377])).
% 135.59/86.28 tff(16379,plain,
% 135.59/86.28 (~v84(constB91, bitIndex2)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16232, 777, 767, 16160, 16154, 16378])).
% 135.59/86.28 tff(16380,plain,
% 135.59/86.28 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB91) | (~v145(constB91)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB91) | (~v145(constB91)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16381,plain,
% 135.59/86.28 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB91) | (~v145(constB91)))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16382,plain,
% 135.59/86.28 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB91) | (~v145(constB91))),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16381, 16380])).
% 135.59/86.28 tff(16383,plain,
% 135.59/86.28 (~v145(constB91)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16382, 713, 16224])).
% 135.59/86.28 tff(16384,plain,
% 135.59/86.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB91) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | v84(constB91, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB91) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | v84(constB91, bitIndex1))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16385,plain,
% 135.59/86.28 (((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex1) | v84(constB91, bitIndex2) | v145(constB91)) <=> (v145(constB91) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | v84(constB91, bitIndex1))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16386,plain,
% 135.59/86.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex1) | v84(constB91, bitIndex2) | v145(constB91))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB91) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | v84(constB91, bitIndex1)))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16385])).
% 135.59/86.28 tff(16387,plain,
% 135.59/86.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex1) | v84(constB91, bitIndex2) | v145(constB91))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB91) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | v84(constB91, bitIndex1))),
% 135.59/86.28 inference(transitivity,[status(thm)],[16386, 16384])).
% 135.59/86.28 tff(16388,plain,
% 135.59/86.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex1) | v84(constB91, bitIndex2) | v145(constB91))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16389,plain,
% 135.59/86.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB91) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | v84(constB91, bitIndex1)),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16388, 16387])).
% 135.59/86.28 tff(16390,plain,
% 135.59/86.28 ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | v84(constB91, bitIndex1)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16389, 865, 16383])).
% 135.59/86.28 tff(16391,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16390, 16379, 16376, 16350])).
% 135.59/86.28 tff(16392,plain,(v94(constB92) | v84(constB94, bitIndex0) | v84(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16393,plain,
% 135.59/86.28 (v94(constB92)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16392, 15755, 15707])).
% 135.59/86.28 tff(16394,plain,
% 135.59/86.28 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB93)) | v84(constB93, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB93)) | v84(constB93, bitIndex0))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16395,plain,
% 135.59/86.28 ((v84(constB93, bitIndex0) | (~v145(constB93))) <=> ((~v145(constB93)) | v84(constB93, bitIndex0))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16396,plain,
% 135.59/86.28 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB93, bitIndex0) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB93)) | v84(constB93, bitIndex0)))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16395])).
% 135.59/86.28 tff(16397,plain,
% 135.59/86.28 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB93, bitIndex0) | (~v145(constB93)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB93)) | v84(constB93, bitIndex0))),
% 135.59/86.28 inference(transitivity,[status(thm)],[16396, 16394])).
% 135.59/86.28 tff(16398,plain,
% 135.59/86.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB93, bitIndex0) | (~v145(constB93)))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16399,plain,
% 135.59/86.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB93)) | v84(constB93, bitIndex0)),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16398, 16397])).
% 135.59/86.28 tff(16400,plain,
% 135.59/86.28 (v84(constB93, bitIndex0)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16399, 788, 16105])).
% 135.59/86.28 tff(16401,assumption,(v84(constB93, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16402,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex0)) | (~v84(constB93, bitIndex0)) | v84(constB92, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex0)) | (~v84(constB93, bitIndex0)) | v84(constB92, bitIndex0))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16403,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex0)) | (~v84(constB93, bitIndex0)) | v84(constB92, bitIndex0))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16404,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex0)) | (~v84(constB93, bitIndex0)) | v84(constB92, bitIndex0)),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16403, 16402])).
% 135.59/86.28 tff(16405,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16404, 805, 795, 16116, 16128, 16356, 16401])).
% 135.59/86.28 tff(16406,plain,((~v84(constB93, bitIndex0)) | v84(constB92, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16407,plain,
% 135.59/86.28 (v84(constB92, bitIndex0)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16406, 16400])).
% 135.59/86.28 tff(16408,assumption,(~v123(constB92, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16409,assumption,(v84(constB92, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16410,assumption,(v94(constB92)), introduced(assumption)).
% 135.59/86.28 tff(16411,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB92)) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB92)) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16412,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB92)) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16413,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB92)) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0)),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16412, 16411])).
% 135.59/86.28 tff(16414,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16413, 1344, 795, 16410, 16409, 16408])).
% 135.59/86.28 tff(16415,plain,(v123(constB92, bitIndex0) | (~v94(constB92)) | (~v84(constB92, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16416,plain,
% 135.59/86.28 (v123(constB92, bitIndex0)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16415, 16407, 16393])).
% 135.59/86.28 tff(16417,assumption,(v123(constB92, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16418,assumption,(~v121(constB91, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16419,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16420,plain,
% 135.59/86.28 (((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v123(constB92, bitIndex0)) | v121(constB91, bitIndex0)) <=> ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16421,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v123(constB92, bitIndex0)) | v121(constB91, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16420])).
% 135.59/86.28 tff(16422,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v123(constB92, bitIndex0)) | v121(constB91, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 135.59/86.28 inference(transitivity,[status(thm)],[16421, 16419])).
% 135.59/86.28 tff(16423,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v123(constB92, bitIndex0)) | v121(constB91, bitIndex0))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16424,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v123(constB92, bitIndex0))),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16423, 16422])).
% 135.59/86.28 tff(16425,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16424, 1362, 795, 16160, 16418, 16417])).
% 135.59/86.28 tff(16426,plain,((~v123(constB92, bitIndex0)) | v121(constB91, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16427,plain,
% 135.59/86.28 (v121(constB91, bitIndex0)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16426, 16416])).
% 135.59/86.28 tff(16428,assumption,(v121(constB91, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16429,assumption,(~v124(constB91, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16430,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16431,plain,
% 135.59/86.28 ((v26(constB91) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0))) <=> (v26(constB91) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16432,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0)))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16431])).
% 135.59/86.28 tff(16433,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0))),
% 135.59/86.28 inference(transitivity,[status(thm)],[16432, 16430])).
% 135.59/86.28 tff(16434,plain,
% 135.59/86.28 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~v121(constB91, bitIndex0)))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16435,plain,
% 135.59/86.28 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0)),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16434, 16433])).
% 135.59/86.28 tff(16436,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16435, 1380, 795, 16199, 16429, 16428])).
% 135.59/86.28 tff(16437,plain,((~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16438,plain,
% 135.59/86.28 (v124(constB91, bitIndex0)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16437, 16427])).
% 135.59/86.28 tff(16439,assumption,(v124(constB91, bitIndex0)), introduced(assumption)).
% 135.59/86.28 tff(16440,assumption,(v116(constB91)), introduced(assumption)).
% 135.59/86.28 tff(16441,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v116(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v116(constB91)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16442,plain,
% 135.59/86.28 (((~v116(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v116(constB91)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16443,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v116(constB91))))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16442])).
% 135.59/86.28 tff(16444,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v116(constB91)))),
% 135.59/86.28 inference(transitivity,[status(thm)],[16443, 16441])).
% 135.59/86.28 tff(16445,plain,
% 135.59/86.28 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b100(bitIndex0))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16446,plain,
% 135.59/86.28 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v116(constB91))),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16445, 16444])).
% 135.59/86.28 tff(16447,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16446, 2386, 2164, 795, 16440, 16439])).
% 135.59/86.28 tff(16448,plain,((~v124(constB91, bitIndex0)) | (~v116(constB91))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16449,plain,
% 135.59/86.28 (~v116(constB91)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16448, 16438])).
% 135.59/86.28 tff(16450,assumption,(v123(constB92, bitIndex1)), introduced(assumption)).
% 135.59/86.28 tff(16451,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB92)) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16452,plain,
% 135.59/86.28 (((~less_3(bitIndex1)) | (~v94(constB92)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1))) <=> ((~v94(constB92)) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16453,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB92)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB92)) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1))))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16452])).
% 135.59/86.28 tff(16454,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB92)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 135.59/86.28 inference(transitivity,[status(thm)],[16453, 16451])).
% 135.59/86.28 tff(16455,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB92)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16456,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex1)) | v84(constB92, bitIndex1) | (~v123(constB92, bitIndex1))),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16455, 16454])).
% 135.59/86.28 tff(16457,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16456, 1674, 823, 16410, 16254, 16450])).
% 135.59/86.28 tff(16458,plain,(v84(constB92, bitIndex1) | (~v94(constB92)) | (~v123(constB92, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16459,plain,
% 135.59/86.28 (~v123(constB92, bitIndex1)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16458, 16134, 16393])).
% 135.59/86.28 tff(16460,assumption,(~v123(constB92, bitIndex1)), introduced(assumption)).
% 135.59/86.28 tff(16461,assumption,(v121(constB91, bitIndex1)), introduced(assumption)).
% 135.59/86.28 tff(16462,plain,
% 135.59/86.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v123(constB92, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v123(constB92, bitIndex1) | (~v121(constB91, bitIndex1)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16463,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v123(constB92, bitIndex1) | (~v121(constB91, bitIndex1)))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16464,plain,
% 135.59/86.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v123(constB92, bitIndex1) | (~v121(constB91, bitIndex1))),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16463, 16462])).
% 135.59/86.28 tff(16465,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16464, 1708, 823, 16160, 16461, 16460])).
% 135.59/86.28 tff(16466,plain,(v123(constB92, bitIndex1) | (~v121(constB91, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16467,plain,
% 135.59/86.28 (~v121(constB91, bitIndex1)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16466, 16459])).
% 135.59/86.28 tff(16468,assumption,(~v121(constB91, bitIndex1)), introduced(assumption)).
% 135.59/86.28 tff(16469,assumption,(v124(constB91, bitIndex1)), introduced(assumption)).
% 135.59/86.28 tff(16470,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v124(constB91, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v124(constB91, bitIndex1)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16471,plain,
% 135.59/86.28 ((v26(constB91) | v121(constB91, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1))) <=> (v26(constB91) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v124(constB91, bitIndex1)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16472,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v124(constB91, bitIndex1))))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16471])).
% 135.59/86.28 tff(16473,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v124(constB91, bitIndex1)))),
% 135.59/86.28 inference(transitivity,[status(thm)],[16472, 16470])).
% 135.59/86.28 tff(16474,plain,
% 135.59/86.28 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)))),
% 135.59/86.28 inference(quant_inst,[status(thm)],[])).
% 135.59/86.28 tff(16475,plain,
% 135.59/86.28 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v124(constB91, bitIndex1))),
% 135.59/86.28 inference(modus_ponens,[status(thm)],[16474, 16473])).
% 135.59/86.28 tff(16476,plain,
% 135.59/86.28 ($false),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16475, 1728, 823, 16199, 16469, 16468])).
% 135.59/86.28 tff(16477,plain,(v121(constB91, bitIndex1) | (~v124(constB91, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.28 tff(16478,plain,
% 135.59/86.28 (~v124(constB91, bitIndex1)),
% 135.59/86.28 inference(unit_resolution,[status(thm)],[16477, 16467])).
% 135.59/86.28 tff(16479,assumption,(~v124(constB91, bitIndex1)), introduced(assumption)).
% 135.59/86.28 tff(16480,assumption,(v115(constB91)), introduced(assumption)).
% 135.59/86.28 tff(16481,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v115(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v115(constB91)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16482,plain,
% 135.59/86.28 (((~v115(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v115(constB91)))),
% 135.59/86.28 inference(rewrite,[status(thm)],[])).
% 135.59/86.28 tff(16483,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v115(constB91))))),
% 135.59/86.28 inference(monotonicity,[status(thm)],[16482])).
% 135.59/86.28 tff(16484,plain,
% 135.59/86.28 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v115(constB91)))),
% 135.59/86.29 inference(transitivity,[status(thm)],[16483, 16481])).
% 135.59/86.29 tff(16485,plain,
% 135.59/86.29 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b011(bitIndex1)))),
% 135.59/86.29 inference(quant_inst,[status(thm)],[])).
% 135.59/86.29 tff(16486,plain,
% 135.59/86.29 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v115(constB91))),
% 135.59/86.29 inference(modus_ponens,[status(thm)],[16485, 16484])).
% 135.59/86.29 tff(16487,plain,
% 135.59/86.29 ($false),
% 135.59/86.29 inference(unit_resolution,[status(thm)],[16486, 3033, 1193, 823, 16480, 16479])).
% 135.59/86.29 tff(16488,plain,(v124(constB91, bitIndex1) | (~v115(constB91))), inference(lemma,lemma(discharge,[]))).
% 135.59/86.29 tff(16489,plain,
% 135.59/86.29 (~v115(constB91)),
% 135.59/86.29 inference(unit_resolution,[status(thm)],[16488, 16478])).
% 135.59/86.29 tff(16490,plain,
% 135.59/86.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex2)) | (~v84(constB93, bitIndex2)) | v84(constB92, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex2)) | (~v84(constB93, bitIndex2)) | v84(constB92, bitIndex2))),
% 135.59/86.29 inference(rewrite,[status(thm)],[])).
% 135.59/86.29 tff(16491,plain,
% 135.59/86.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex2)) | (~v84(constB93, bitIndex2)) | v84(constB92, bitIndex2))),
% 135.59/86.29 inference(quant_inst,[status(thm)],[])).
% 135.59/86.29 tff(16492,plain,
% 135.59/86.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex2)) | (~v84(constB93, bitIndex2)) | v84(constB92, bitIndex2)),
% 135.59/86.29 inference(modus_ponens,[status(thm)],[16491, 16490])).
% 135.59/86.29 tff(16493,plain,
% 135.59/86.29 ($false),
% 135.59/86.29 inference(unit_resolution,[status(thm)],[16492, 805, 767, 16116, 16128, 16291, 16135])).
% 135.59/86.29 tff(16494,plain,((~v84(constB93, bitIndex2)) | v84(constB92, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.59/86.29 tff(16495,plain,
% 135.59/86.29 (~v84(constB93, bitIndex2)),
% 135.59/86.29 inference(unit_resolution,[status(thm)],[16494, 16291])).
% 135.59/86.29 tff(16496,plain,
% 135.59/86.29 (v94(constB92)),
% 135.59/86.29 inference(unit_resolution,[status(thm)],[16368, 16356, 16254])).
% 135.59/86.29 tff(16497,plain,
% 135.59/86.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB92)) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 135.59/86.29 inference(rewrite,[status(thm)],[])).
% 135.59/86.29 tff(16498,plain,
% 135.59/86.29 (((~less_3(bitIndex0)) | (~v94(constB92)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0))) <=> ((~v94(constB92)) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 135.59/86.29 inference(rewrite,[status(thm)],[])).
% 135.59/86.29 tff(16499,plain,
% 135.59/86.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB92)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB92)) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0))))),
% 135.59/86.29 inference(monotonicity,[status(thm)],[16498])).
% 135.59/86.29 tff(16500,plain,
% 135.59/86.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB92)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16499, 16497])).
% 135.65/86.29 tff(16501,plain,
% 135.65/86.29 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB92)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16502,plain,
% 135.65/86.29 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex0)) | v84(constB92, bitIndex0) | (~v123(constB92, bitIndex0))),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16501, 16500])).
% 135.65/86.29 tff(16503,plain,
% 135.65/86.29 (~v123(constB92, bitIndex0)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16502, 1674, 795, 16496, 16356])).
% 135.65/86.29 tff(16504,plain,
% 135.65/86.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v123(constB92, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v123(constB92, bitIndex0))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16505,plain,
% 135.65/86.29 (((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v123(constB92, bitIndex0) | (~v121(constB91, bitIndex0))) <=> ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v123(constB92, bitIndex0))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16506,plain,
% 135.65/86.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v123(constB92, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v123(constB92, bitIndex0)))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16505])).
% 135.65/86.29 tff(16507,plain,
% 135.65/86.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v123(constB92, bitIndex0) | (~v121(constB91, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v123(constB92, bitIndex0))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16506, 16504])).
% 135.65/86.29 tff(16508,plain,
% 135.65/86.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | v123(constB92, bitIndex0) | (~v121(constB91, bitIndex0)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16509,plain,
% 135.65/86.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex0)) | (~v121(constB91, bitIndex0)) | v123(constB92, bitIndex0)),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16508, 16507])).
% 135.65/86.29 tff(16510,plain,
% 135.65/86.29 (~v121(constB91, bitIndex0)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16509, 1708, 795, 16160, 16503])).
% 135.65/86.29 tff(16511,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v124(constB91, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v124(constB91, bitIndex0)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16512,plain,
% 135.65/86.29 ((v26(constB91) | v121(constB91, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0))) <=> (v26(constB91) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v124(constB91, bitIndex0)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16513,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v124(constB91, bitIndex0))))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16512])).
% 135.65/86.29 tff(16514,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v124(constB91, bitIndex0)))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16513, 16511])).
% 135.65/86.29 tff(16515,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16516,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex0)) | v121(constB91, bitIndex0) | (~v124(constB91, bitIndex0))),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16515, 16514])).
% 135.65/86.29 tff(16517,plain,
% 135.65/86.29 (~v124(constB91, bitIndex0)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16516, 1728, 795, 16199, 16510])).
% 135.65/86.29 tff(16518,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v115(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v115(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16519,plain,
% 135.65/86.29 (((~v115(constB91)) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v115(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16520,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB91)) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v115(constB91))))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16519])).
% 135.65/86.29 tff(16521,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB91)) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v115(constB91)))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16520, 16518])).
% 135.65/86.29 tff(16522,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB91)) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b011(bitIndex0)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16523,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v115(constB91))),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16522, 16521])).
% 135.65/86.29 tff(16524,plain,
% 135.65/86.29 (~v115(constB91)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16523, 1148, 1193, 795, 16517])).
% 135.65/86.29 tff(16525,plain,
% 135.65/86.29 (~v84(constB92, bitIndex2)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16150, 777, 767, 16116, 16128, 16146])).
% 135.65/86.29 tff(16526,plain,
% 135.65/86.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v84(constB92, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v84(constB92, bitIndex2))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16527,plain,
% 135.65/86.29 (((~less_3(bitIndex2)) | (~v94(constB92)) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2))) <=> ((~v94(constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v84(constB92, bitIndex2))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16528,plain,
% 135.65/86.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB92)) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v84(constB92, bitIndex2)))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16527])).
% 135.65/86.29 tff(16529,plain,
% 135.65/86.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB92)) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v84(constB92, bitIndex2))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16528, 16526])).
% 135.65/86.29 tff(16530,plain,
% 135.65/86.29 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB92)) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16531,plain,
% 135.65/86.29 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v84(constB92, bitIndex2)),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16530, 16529])).
% 135.65/86.29 tff(16532,plain,
% 135.65/86.29 (~v123(constB92, bitIndex2)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16531, 1674, 767, 16496, 16525])).
% 135.65/86.29 tff(16533,assumption,(~v123(constB92, bitIndex2)), introduced(assumption)).
% 135.65/86.29 tff(16534,assumption,(v121(constB91, bitIndex2)), introduced(assumption)).
% 135.65/86.29 tff(16535,plain,
% 135.65/86.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex2)) | v123(constB92, bitIndex2) | (~v121(constB91, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex2)) | v123(constB92, bitIndex2) | (~v121(constB91, bitIndex2)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16536,plain,
% 135.65/86.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex2)) | v123(constB92, bitIndex2) | (~v121(constB91, bitIndex2)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16537,plain,
% 135.65/86.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex2)) | v123(constB92, bitIndex2) | (~v121(constB91, bitIndex2))),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16536, 16535])).
% 135.65/86.29 tff(16538,plain,
% 135.65/86.29 ($false),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16537, 1708, 767, 16160, 16534, 16533])).
% 135.65/86.29 tff(16539,plain,(v123(constB92, bitIndex2) | (~v121(constB91, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.29 tff(16540,plain,
% 135.65/86.29 (~v121(constB91, bitIndex2)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16539, 16532])).
% 135.65/86.29 tff(16541,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16542,plain,
% 135.65/86.29 ((v26(constB91) | v121(constB91, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2))) <=> (v26(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16543,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16542])).
% 135.65/86.29 tff(16544,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16543, 16541])).
% 135.65/86.29 tff(16545,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB91) | v121(constB91, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16546,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | v121(constB91, bitIndex2)),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16545, 16544])).
% 135.65/86.29 tff(16547,plain,
% 135.65/86.29 (~v124(constB91, bitIndex2)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16546, 1728, 767, 16199, 16540])).
% 135.65/86.29 tff(16548,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v116(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v116(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16549,plain,
% 135.65/86.29 (((~v116(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v116(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16550,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v116(constB91))))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16549])).
% 135.65/86.29 tff(16551,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v116(constB91)))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16550, 16548])).
% 135.65/86.29 tff(16552,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b100(bitIndex2)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16553,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v116(constB91))),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16552, 16551])).
% 135.65/86.29 tff(16554,plain,
% 135.65/86.29 (~v116(constB91)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16553, 1772, 1769, 767, 16547])).
% 135.65/86.29 tff(16555,assumption,(~v124(constB91, bitIndex2)), introduced(assumption)).
% 135.65/86.29 tff(16556,assumption,(v113(constB91)), introduced(assumption)).
% 135.65/86.29 tff(16557,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v113(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v113(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16558,plain,
% 135.65/86.29 (((~v113(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v113(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16559,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v113(constB91))))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16558])).
% 135.65/86.29 tff(16560,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v113(constB91)))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16559, 16557])).
% 135.65/86.29 tff(16561,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b100(bitIndex2)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16562,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | v124(constB91, bitIndex2) | (~v113(constB91))),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16561, 16560])).
% 135.65/86.29 tff(16563,plain,
% 135.65/86.29 ($false),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16562, 1772, 1838, 767, 16556, 16555])).
% 135.65/86.29 tff(16564,plain,(v124(constB91, bitIndex2) | (~v113(constB91))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.29 tff(16565,plain,
% 135.65/86.29 (~v113(constB91)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16564, 16547])).
% 135.65/86.29 tff(16566,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v118(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v118(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16567,plain,
% 135.65/86.29 (((~v118(constB91)) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v118(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16568,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB91)) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v118(constB91))))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16567])).
% 135.65/86.29 tff(16569,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB91)) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v118(constB91)))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16568, 16566])).
% 135.65/86.29 tff(16570,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB91)) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b011(bitIndex0)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16571,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | v124(constB91, bitIndex0) | (~v118(constB91))),
% 135.65/86.29 inference(modus_ponens,[status(thm)],[16570, 16569])).
% 135.65/86.29 tff(16572,plain,
% 135.65/86.29 (~v118(constB91)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16571, 1148, 1145, 795, 16517])).
% 135.65/86.29 tff(16573,plain,
% 135.65/86.29 (~v123(constB92, bitIndex1)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16456, 1674, 823, 16496, 16254])).
% 135.65/86.29 tff(16574,plain,
% 135.65/86.29 (~v121(constB91, bitIndex1)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16464, 1708, 823, 16160, 16573])).
% 135.65/86.29 tff(16575,plain,
% 135.65/86.29 (~v124(constB91, bitIndex1)),
% 135.65/86.29 inference(unit_resolution,[status(thm)],[16475, 1728, 823, 16199, 16574])).
% 135.65/86.29 tff(16576,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB91, bitIndex1) | (~v172(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB91, bitIndex1) | (~v172(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16577,plain,
% 135.65/86.29 (((~v172(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB91, bitIndex1) | (~v172(constB91)))),
% 135.65/86.29 inference(rewrite,[status(thm)],[])).
% 135.65/86.29 tff(16578,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB91, bitIndex1) | (~v172(constB91))))),
% 135.65/86.29 inference(monotonicity,[status(thm)],[16577])).
% 135.65/86.29 tff(16579,plain,
% 135.65/86.29 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB91, bitIndex1) | (~v172(constB91)))),
% 135.65/86.29 inference(transitivity,[status(thm)],[16578, 16576])).
% 135.65/86.29 tff(16580,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b110(bitIndex1)))),
% 135.65/86.29 inference(quant_inst,[status(thm)],[])).
% 135.65/86.29 tff(16581,plain,
% 135.65/86.29 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB91, bitIndex1) | (~v172(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 135.65/86.30 tff(16582,plain,
% 135.65/86.30 (~v172(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16581, 1801, 1798, 823, 16575])).
% 135.65/86.30 tff(16583,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB91)) | (~b010(bitIndex1)) | v124(constB91, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB91)) | (~b010(bitIndex1)) | v124(constB91, bitIndex1))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16584,plain,
% 135.65/86.30 (((~v145(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB91)) | (~b010(bitIndex1)) | v124(constB91, bitIndex1))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16585,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB91)) | (~b010(bitIndex1)) | v124(constB91, bitIndex1)))),
% 135.65/86.30 inference(monotonicity,[status(thm)],[16584])).
% 135.65/86.30 tff(16586,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB91)) | (~b010(bitIndex1)) | v124(constB91, bitIndex1))),
% 135.65/86.30 inference(transitivity,[status(thm)],[16585, 16583])).
% 135.65/86.30 tff(16587,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b010(bitIndex1)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16588,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB91)) | (~b010(bitIndex1)) | v124(constB91, bitIndex1)),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 135.65/86.30 tff(16589,plain,
% 135.65/86.30 (~v145(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16588, 1821, 1818, 823, 16575])).
% 135.65/86.30 tff(16590,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB91) | v113(constB91) | (~b001(bitIndex0)) | v124(constB91, bitIndex0) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB91) | v113(constB91) | (~b001(bitIndex0)) | v124(constB91, bitIndex0) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16591,plain,
% 135.65/86.30 ((v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB91) | v113(constB91) | (~b001(bitIndex0)) | v124(constB91, bitIndex0) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16592,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB91) | v113(constB91) | (~b001(bitIndex0)) | v124(constB91, bitIndex0) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)))),
% 135.65/86.30 inference(monotonicity,[status(thm)],[16591])).
% 135.65/86.30 tff(16593,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB91) | v113(constB91) | (~b001(bitIndex0)) | v124(constB91, bitIndex0) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.30 inference(transitivity,[status(thm)],[16592, 16590])).
% 135.65/86.30 tff(16594,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex0)) | v124(constB91, bitIndex0) | (~b001(bitIndex0)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16595,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB91) | v113(constB91) | (~b001(bitIndex0)) | v124(constB91, bitIndex0) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16594, 16593])).
% 135.65/86.30 tff(16596,plain,
% 135.65/86.30 (v145(constB91) | v113(constB91) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16595, 1213, 1210, 795, 16517])).
% 135.65/86.30 tff(16597,plain,
% 135.65/86.30 ($false),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16596, 16589, 16582, 16572, 16565, 16554, 16524])).
% 135.65/86.30 tff(16598,plain,(v84(constB92, bitIndex0) | v84(constB92, bitIndex1) | v84(constB93, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.30 tff(16599,plain,
% 135.65/86.30 (v84(constB92, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16598, 16495, 16254])).
% 135.65/86.30 tff(16600,plain,
% 135.65/86.30 (~v84(constB91, bitIndex2)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16292, 16154])).
% 135.65/86.30 tff(16601,plain,
% 135.65/86.30 (v94(constB92) | v84(constB91, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16375, 805, 795, 16160, 16409])).
% 135.65/86.30 tff(16602,plain,
% 135.65/86.30 (v84(constB91, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16601, 16154])).
% 135.65/86.30 tff(16603,plain,
% 135.65/86.30 (v145(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16389, 865, 16602, 16355, 16600])).
% 135.65/86.30 tff(16604,plain,
% 135.65/86.30 (v112(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16382, 713, 16603])).
% 135.65/86.30 tff(16605,plain,
% 135.65/86.30 (v111(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16223, 702, 16604])).
% 135.65/86.30 tff(16606,plain,
% 135.65/86.30 (v110(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16219, 691, 16605])).
% 135.65/86.30 tff(16607,plain,
% 135.65/86.30 ($false),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16215, 680, 16212, 16606])).
% 135.65/86.30 tff(16608,plain,(v94(constB92) | v84(constB92, bitIndex2) | (~v84(constB92, bitIndex0)) | v84(constB92, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.30 tff(16609,plain,
% 135.65/86.30 (v94(constB92)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16608, 16599, 16254, 16291])).
% 135.65/86.30 tff(16610,plain,
% 135.65/86.30 (~v123(constB92, bitIndex2)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16531, 1674, 767, 16609, 16291])).
% 135.65/86.30 tff(16611,plain,
% 135.65/86.30 (~v121(constB91, bitIndex2)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16539, 16610])).
% 135.65/86.30 tff(16612,plain,
% 135.65/86.30 (~v124(constB91, bitIndex2)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16546, 1728, 767, 16199, 16611])).
% 135.65/86.30 tff(16613,plain,
% 135.65/86.30 (~v113(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16564, 16612])).
% 135.65/86.30 tff(16614,plain,
% 135.65/86.30 (v123(constB92, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16413, 1344, 795, 16609, 16599])).
% 135.65/86.30 tff(16615,plain,
% 135.65/86.30 (v121(constB91, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16424, 1362, 795, 16160, 16614])).
% 135.65/86.30 tff(16616,plain,
% 135.65/86.30 (v124(constB91, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16435, 1380, 795, 16199, 16615])).
% 135.65/86.30 tff(16617,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB91)) | (~v124(constB91, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB91)) | (~v124(constB91, bitIndex0)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16618,plain,
% 135.65/86.30 (((~v145(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB91)) | (~v124(constB91, bitIndex0)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16619,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB91)) | (~v124(constB91, bitIndex0))))),
% 135.65/86.30 inference(monotonicity,[status(thm)],[16618])).
% 135.65/86.30 tff(16620,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB91)) | (~v124(constB91, bitIndex0)))),
% 135.65/86.30 inference(transitivity,[status(thm)],[16619, 16617])).
% 135.65/86.30 tff(16621,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b010(bitIndex0))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16622,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB91)) | (~v124(constB91, bitIndex0))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16621, 16620])).
% 135.65/86.30 tff(16623,plain,
% 135.65/86.30 (~v145(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16622, 2299, 1416, 795, 16616])).
% 135.65/86.30 tff(16624,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB91) | v113(constB91) | (~v112(constB91)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB91) | v113(constB91) | (~v112(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16625,plain,
% 135.65/86.30 ((v113(constB91) | (~v112(constB91)) | v145(constB91)) <=> (v145(constB91) | v113(constB91) | (~v112(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16626,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB91) | (~v112(constB91)) | v145(constB91))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB91) | v113(constB91) | (~v112(constB91))))),
% 135.65/86.30 inference(monotonicity,[status(thm)],[16625])).
% 135.65/86.30 tff(16627,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB91) | (~v112(constB91)) | v145(constB91))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB91) | v113(constB91) | (~v112(constB91)))),
% 135.65/86.30 inference(transitivity,[status(thm)],[16626, 16624])).
% 135.65/86.30 tff(16628,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB91) | (~v112(constB91)) | v145(constB91))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16629,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB91) | v113(constB91) | (~v112(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16628, 16627])).
% 135.65/86.30 tff(16630,plain,
% 135.65/86.30 (~v112(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16629, 2894, 16623, 16613])).
% 135.65/86.30 tff(16631,plain,
% 135.65/86.30 (~v123(constB92, bitIndex1)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16456, 1674, 823, 16609, 16254])).
% 135.65/86.30 tff(16632,plain,
% 135.65/86.30 (~v121(constB91, bitIndex1)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16464, 1708, 823, 16160, 16631])).
% 135.65/86.30 tff(16633,plain,
% 135.65/86.30 (~v124(constB91, bitIndex1)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16475, 1728, 823, 16199, 16632])).
% 135.65/86.30 tff(16634,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v118(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v118(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16635,plain,
% 135.65/86.30 (((~v118(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v118(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16636,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v118(constB91))))),
% 135.65/86.30 inference(monotonicity,[status(thm)],[16635])).
% 135.65/86.30 tff(16637,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v118(constB91)))),
% 135.65/86.30 inference(transitivity,[status(thm)],[16636, 16634])).
% 135.65/86.30 tff(16638,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB91)) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~b011(bitIndex1)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16639,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | v124(constB91, bitIndex1) | (~v118(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16638, 16637])).
% 135.65/86.30 tff(16640,plain,
% 135.65/86.30 (~v118(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16639, 3033, 1145, 823, 16633])).
% 135.65/86.30 tff(16641,plain,
% 135.65/86.30 (v104(constB92)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16281, 16609])).
% 135.65/86.30 tff(16642,plain,
% 135.65/86.30 (v102(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16276, 16641])).
% 135.65/86.30 tff(16643,plain,
% 135.65/86.30 (v106(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16268, 16642])).
% 135.65/86.30 tff(16644,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB91) | (~v106(constB91)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB91) | (~v106(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16645,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB91) | (~v106(constB91)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16646,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB91) | (~v106(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16645, 16644])).
% 135.65/86.30 tff(16647,plain,
% 135.65/86.30 (v107(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16646, 3161, 16643])).
% 135.65/86.30 tff(16648,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB91) | v119(constB91) | (~v107(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB91) | v119(constB91) | (~v107(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16649,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB91) | v119(constB91) | (~v107(constB91)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16650,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB91) | v119(constB91) | (~v107(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16649, 16648])).
% 135.65/86.30 tff(16651,plain,
% 135.65/86.30 (v108(constB91) | (~v107(constB91))),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16650, 3195, 15717])).
% 135.65/86.30 tff(16652,plain,
% 135.65/86.30 (v108(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16651, 16647])).
% 135.65/86.30 tff(16653,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB91) | v118(constB91) | (~v108(constB91)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB91) | v118(constB91) | (~v108(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16654,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB91) | v118(constB91) | (~v108(constB91)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16655,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB91) | v118(constB91) | (~v108(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16654, 16653])).
% 135.65/86.30 tff(16656,plain,
% 135.65/86.30 (v109(constB91) | v118(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16655, 2856, 16652])).
% 135.65/86.30 tff(16657,plain,
% 135.65/86.30 (v109(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16656, 16640])).
% 135.65/86.30 tff(16658,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v172(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v172(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16659,plain,
% 135.65/86.30 (((~v172(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v172(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16660,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v172(constB91))))),
% 135.65/86.30 inference(monotonicity,[status(thm)],[16659])).
% 135.65/86.30 tff(16661,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v172(constB91)))),
% 135.65/86.30 inference(transitivity,[status(thm)],[16660, 16658])).
% 135.65/86.30 tff(16662,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b110(bitIndex0))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16663,plain,
% 135.65/86.30 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v172(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16662, 16661])).
% 135.65/86.30 tff(16664,plain,
% 135.65/86.30 (~v172(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16663, 1997, 1994, 795, 16616])).
% 135.65/86.30 tff(16665,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB91)) | v172(constB91) | v110(constB91))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB91)) | v172(constB91) | v110(constB91))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16666,plain,
% 135.65/86.30 ((v110(constB91) | (~v109(constB91)) | v172(constB91)) <=> ((~v109(constB91)) | v172(constB91) | v110(constB91))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16667,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB91) | (~v109(constB91)) | v172(constB91))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB91)) | v172(constB91) | v110(constB91)))),
% 135.65/86.30 inference(monotonicity,[status(thm)],[16666])).
% 135.65/86.30 tff(16668,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB91) | (~v109(constB91)) | v172(constB91))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB91)) | v172(constB91) | v110(constB91))),
% 135.65/86.30 inference(transitivity,[status(thm)],[16667, 16665])).
% 135.65/86.30 tff(16669,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB91) | (~v109(constB91)) | v172(constB91))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16670,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB91)) | v172(constB91) | v110(constB91)),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16669, 16668])).
% 135.65/86.30 tff(16671,plain,
% 135.65/86.30 (v110(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16670, 2871, 16664, 16657])).
% 135.65/86.30 tff(16672,assumption,(~v116(constB91)), introduced(assumption)).
% 135.65/86.30 tff(16673,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB91) | v116(constB91) | (~v110(constB91)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB91) | v116(constB91) | (~v110(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16674,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB91) | v116(constB91) | (~v110(constB91)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16675,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB91) | v116(constB91) | (~v110(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16674, 16673])).
% 135.65/86.30 tff(16676,plain,
% 135.65/86.30 (v111(constB91) | (~v110(constB91))),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16675, 2932, 16672])).
% 135.65/86.30 tff(16677,plain,
% 135.65/86.30 (v111(constB91)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16676, 16671])).
% 135.65/86.30 tff(16678,assumption,(~v115(constB91)), introduced(assumption)).
% 135.65/86.30 tff(16679,plain,
% 135.65/86.30 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB91) | v115(constB91) | (~v111(constB91)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB91) | v115(constB91) | (~v111(constB91)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16680,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB91) | v115(constB91) | (~v111(constB91)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16681,plain,
% 135.65/86.30 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB91) | v115(constB91) | (~v111(constB91))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16680, 16679])).
% 135.65/86.30 tff(16682,plain,
% 135.65/86.30 (v112(constB91) | (~v111(constB91))),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16681, 2911, 16678])).
% 135.65/86.30 tff(16683,plain,
% 135.65/86.30 ($false),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16682, 16677, 16630])).
% 135.65/86.30 tff(16684,plain,(v84(constB92, bitIndex2) | v115(constB91) | v116(constB91) | v84(constB92, bitIndex1) | v119(constB91)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.30 tff(16685,plain,
% 135.65/86.30 ($false),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16684, 16489, 16449, 15717, 16153, 16134])).
% 135.65/86.30 tff(16686,plain,(v84(constB94, bitIndex0) | v119(constB91) | v84(constB94, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.30 tff(16687,plain,
% 135.65/86.30 (v84(constB94, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16686, 15752, 15717])).
% 135.65/86.30 tff(16688,assumption,(~v84(constB95, bitIndex0)), introduced(assumption)).
% 135.65/86.30 tff(16689,assumption,(v84(constB94, bitIndex0)), introduced(assumption)).
% 135.65/86.30 tff(16690,plain,
% 135.65/86.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB95, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB95, bitIndex0))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16691,plain,
% 135.65/86.30 (((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB94, bitIndex0))) <=> ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB95, bitIndex0))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16692,plain,
% 135.65/86.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB94, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB95, bitIndex0)))),
% 135.65/86.30 inference(monotonicity,[status(thm)],[16691])).
% 135.65/86.30 tff(16693,plain,
% 135.65/86.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB94, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB95, bitIndex0))),
% 135.65/86.30 inference(transitivity,[status(thm)],[16692, 16690])).
% 135.65/86.30 tff(16694,plain,
% 135.65/86.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB95, bitIndex0) | (~v84(constB94, bitIndex0)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16695,plain,
% 135.65/86.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB94, bitIndex0)) | v84(constB95, bitIndex0)),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 135.65/86.30 tff(16696,plain,
% 135.65/86.30 ($false),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16695, 777, 795, 15622, 15634, 16689, 16688])).
% 135.65/86.30 tff(16697,plain,(v84(constB95, bitIndex0) | (~v84(constB94, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.30 tff(16698,plain,
% 135.65/86.30 ($false),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16697, 16687, 15742])).
% 135.65/86.30 tff(16699,plain,(v124(constB95, bitIndex1) | v119(constB91) | v84(constB95, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.30 tff(16700,plain,
% 135.65/86.30 (v124(constB95, bitIndex1)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16699, 15300, 15717])).
% 135.65/86.30 tff(16701,plain,
% 135.65/86.30 (~v94(constB96)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15222, 15214, 15213])).
% 135.65/86.30 tff(16702,plain,
% 135.65/86.30 (~v104(constB96)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15342, 16701])).
% 135.65/86.30 tff(16703,plain,
% 135.65/86.30 (~v102(constB95)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15350, 16702])).
% 135.65/86.30 tff(16704,plain,
% 135.65/86.30 (~v106(constB95)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15354, 619, 16703])).
% 135.65/86.30 tff(16705,plain,
% 135.65/86.30 (~v107(constB95)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15645, 16704])).
% 135.65/86.30 tff(16706,plain,
% 135.65/86.30 (~v108(constB95)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15369, 658, 16705])).
% 135.65/86.30 tff(16707,plain,
% 135.65/86.30 (v84(constB96, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15437, 16701])).
% 135.65/86.30 tff(16708,plain,
% 135.65/86.30 (v84(constB97, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15552, 16707])).
% 135.65/86.30 tff(16709,plain,
% 135.65/86.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v172(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB97, bitIndex0)) | (~v172(constB97)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16710,plain,
% 135.65/86.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v172(constB97)))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16711,plain,
% 135.65/86.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB97, bitIndex0)) | (~v172(constB97))),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16710, 16709])).
% 135.65/86.30 tff(16712,plain,
% 135.65/86.30 (~v172(constB97)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16711, 7708, 16708])).
% 135.65/86.30 tff(16713,plain,
% 135.65/86.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB96, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB96, bitIndex1))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16714,plain,
% 135.65/86.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB96, bitIndex1))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16715,plain,
% 135.65/86.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex1)) | (~v84(constB97, bitIndex1)) | v84(constB96, bitIndex1)),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 135.65/86.30 tff(16716,plain,
% 135.65/86.30 ($false),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16715, 805, 823, 15182, 15194, 15214, 14842])).
% 135.65/86.30 tff(16717,plain,((~v84(constB97, bitIndex1)) | v84(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.30 tff(16718,plain,
% 135.65/86.30 (~v84(constB97, bitIndex1)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16717, 15214])).
% 135.65/86.30 tff(16719,plain,
% 135.65/86.30 (v94(constB96)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15704, 15644])).
% 135.65/86.30 tff(16720,plain,
% 135.65/86.30 (~v123(constB96, bitIndex1)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15222, 16719, 15214])).
% 135.65/86.30 tff(16721,plain,
% 135.65/86.30 (v84(constB96, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15545, 16720, 15286, 16718])).
% 135.65/86.30 tff(16722,plain,
% 135.65/86.30 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB96)) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB96)) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16723,plain,
% 135.65/86.30 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB96)) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16724,plain,
% 135.65/86.30 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB96)) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0)),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16723, 16722])).
% 135.65/86.30 tff(16725,plain,
% 135.65/86.30 (v123(constB96, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16724, 1344, 795, 16719, 16721])).
% 135.65/86.30 tff(16726,assumption,(~v121(constB95, bitIndex0)), introduced(assumption)).
% 135.65/86.30 tff(16727,assumption,(v123(constB96, bitIndex0)), introduced(assumption)).
% 135.65/86.30 tff(16728,plain,
% 135.65/86.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex0)) | (~v123(constB96, bitIndex0)) | v121(constB95, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex0)) | (~v123(constB96, bitIndex0)) | v121(constB95, bitIndex0))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16729,plain,
% 135.65/86.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex0)) | (~v123(constB96, bitIndex0)) | v121(constB95, bitIndex0))),
% 135.65/86.30 inference(quant_inst,[status(thm)],[])).
% 135.65/86.30 tff(16730,plain,
% 135.65/86.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex0)) | (~v123(constB96, bitIndex0)) | v121(constB95, bitIndex0)),
% 135.65/86.30 inference(modus_ponens,[status(thm)],[16729, 16728])).
% 135.65/86.30 tff(16731,plain,
% 135.65/86.30 ($false),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16730, 1362, 795, 15303, 16727, 16726])).
% 135.65/86.30 tff(16732,plain,((~v123(constB96, bitIndex0)) | v121(constB95, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.30 tff(16733,plain,
% 135.65/86.30 (v121(constB95, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16732, 16725])).
% 135.65/86.30 tff(16734,plain,
% 135.65/86.30 (~v84(constB94, bitIndex1)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15642, 15300])).
% 135.65/86.30 tff(16735,plain,
% 135.65/86.30 (~v84(constB94, bitIndex2)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15751, 15644])).
% 135.65/86.30 tff(16736,plain,
% 135.65/86.30 (v84(constB94, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15965, 16735, 16734])).
% 135.65/86.30 tff(16737,plain,
% 135.65/86.30 (v84(constB95, bitIndex0)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[16697, 16736])).
% 135.65/86.30 tff(16738,plain,
% 135.65/86.30 (v145(constB95)),
% 135.65/86.30 inference(unit_resolution,[status(thm)],[15741, 16737, 15300, 15644])).
% 135.65/86.30 tff(16739,assumption,(v124(constB95, bitIndex0)), introduced(assumption)).
% 135.65/86.30 tff(16740,assumption,(v145(constB95)), introduced(assumption)).
% 135.65/86.30 tff(16741,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB95)) | (~v124(constB95, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16742,plain,
% 135.65/86.30 (((~v145(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.65/86.30 inference(rewrite,[status(thm)],[])).
% 135.65/86.30 tff(16743,plain,
% 135.65/86.30 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB95)) | (~v124(constB95, bitIndex0))))),
% 135.65/86.31 inference(monotonicity,[status(thm)],[16742])).
% 135.65/86.31 tff(16744,plain,
% 135.65/86.31 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.65/86.31 inference(transitivity,[status(thm)],[16743, 16741])).
% 135.65/86.31 tff(16745,plain,
% 135.65/86.31 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b010(bitIndex0))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16746,plain,
% 135.65/86.31 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB95)) | (~v124(constB95, bitIndex0))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16745, 16744])).
% 135.65/86.31 tff(16747,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16746, 2299, 1416, 795, 16740, 16739])).
% 135.65/86.31 tff(16748,plain,((~v124(constB95, bitIndex0)) | (~v145(constB95))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16749,plain,
% 135.65/86.31 (~v124(constB95, bitIndex0)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16748, 16738])).
% 135.65/86.31 tff(16750,plain,
% 135.65/86.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16751,plain,
% 135.65/86.31 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16752,plain,
% 135.65/86.31 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~v121(constB95, bitIndex0))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16751, 16750])).
% 135.65/86.31 tff(16753,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16752, 1380, 795, 15453, 16749, 16733])).
% 135.65/86.31 tff(16754,plain,(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | v172(constB97) | v84(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16755,plain,
% 135.65/86.31 (v84(constB95, bitIndex2)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16754, 15300, 15286, 15214])).
% 135.65/86.31 tff(16756,plain,
% 135.65/86.31 ((~v84(constB95, bitIndex2)) | (~v84(constB95, bitIndex0))),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[15734, 1018, 15300, 15725])).
% 135.65/86.31 tff(16757,plain,
% 135.65/86.31 (~v84(constB95, bitIndex0)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16756, 16755])).
% 135.65/86.31 tff(16758,plain,
% 135.65/86.31 (v172(constB95)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[15737, 16755, 15725, 15300])).
% 135.65/86.31 tff(16759,plain,
% 135.65/86.31 (v124(constB95, bitIndex1)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[15722, 16758])).
% 135.65/86.31 tff(16760,assumption,(~v121(constB95, bitIndex1)), introduced(assumption)).
% 135.65/86.31 tff(16761,assumption,(v124(constB95, bitIndex1)), introduced(assumption)).
% 135.65/86.31 tff(16762,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[15484, 1728, 823, 15453, 16761, 16760])).
% 135.65/86.31 tff(16763,plain,(v121(constB95, bitIndex1) | (~v124(constB95, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16764,plain,
% 135.65/86.31 (v121(constB95, bitIndex1)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16763, 16759])).
% 135.65/86.31 tff(16765,assumption,(v121(constB95, bitIndex1)), introduced(assumption)).
% 135.65/86.31 tff(16766,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[15477, 1708, 823, 15303, 15297, 16765])).
% 135.65/86.31 tff(16767,plain,(v123(constB96, bitIndex1) | (~v121(constB95, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16768,plain,
% 135.65/86.31 (v123(constB96, bitIndex1)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16767, 16764])).
% 135.65/86.31 tff(16769,plain,
% 135.65/86.31 (~v94(constB96)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[15222, 16768, 15214])).
% 135.65/86.31 tff(16770,plain,
% 135.65/86.31 (v84(constB96, bitIndex0)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[15437, 16769])).
% 135.65/86.31 tff(16771,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[15662, 805, 795, 15303, 16769, 16770, 16757])).
% 135.65/86.31 tff(16772,plain,(v84(constB95, bitIndex1) | v84(constB96, bitIndex1) | v118(constB95) | v172(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16773,plain,
% 135.65/86.31 (v118(constB95)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16772, 16712, 15300, 15214])).
% 135.65/86.31 tff(16774,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB95) | (~v118(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB95) | (~v118(constB95)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16775,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB95) | (~v118(constB95)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16776,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB95) | (~v118(constB95))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 135.65/86.31 tff(16777,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16776, 1004, 16773, 16706])).
% 135.65/86.31 tff(16778,plain,(v84(constB96, bitIndex1) | v84(constB95, bitIndex1) | (~v123(constB96, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16779,plain,
% 135.65/86.31 (~v123(constB96, bitIndex1)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16778, 15300, 15214])).
% 135.65/86.31 tff(16780,plain,
% 135.65/86.31 (~v121(constB95, bitIndex1)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16767, 16779])).
% 135.65/86.31 tff(16781,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16763, 16780, 16700])).
% 135.65/86.31 tff(16782,plain,(v84(constB95, bitIndex1) | v119(constB91) | v84(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16783,plain,
% 135.65/86.31 (v119(constB91)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16782, 15618, 15214])).
% 135.65/86.31 tff(16784,assumption,(v119(constB91)), introduced(assumption)).
% 135.65/86.31 tff(16785,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB91, bitIndex2) | (~v119(constB91)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | v84(constB91, bitIndex2) | (~v119(constB91)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16786,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB91, bitIndex2) | (~v119(constB91)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16787,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | v84(constB91, bitIndex2) | (~v119(constB91))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16786, 16785])).
% 135.65/86.31 tff(16788,plain,
% 135.65/86.31 (v84(constB91, bitIndex2)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16787, 7833, 16784])).
% 135.65/86.31 tff(16789,plain,
% 135.65/86.31 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB91)) | (~v84(constB91, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB91)) | (~v84(constB91, bitIndex2)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16790,plain,
% 135.65/86.31 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB91)) | (~v84(constB91, bitIndex2)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16791,plain,
% 135.65/86.31 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB91)) | (~v84(constB91, bitIndex2))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16790, 16789])).
% 135.65/86.31 tff(16792,plain,
% 135.65/86.31 (~v113(constB91)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16791, 1119, 16788])).
% 135.65/86.31 tff(16793,plain,
% 135.65/86.31 (v84(constB92, bitIndex1)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16368, 16154, 16356])).
% 135.65/86.31 tff(16794,plain,
% 135.65/86.31 (v106(constB91)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16326, 16793, 16291])).
% 135.65/86.31 tff(16795,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16194, 619, 16191, 16794])).
% 135.65/86.31 tff(16796,plain,(v94(constB92) | v84(constB92, bitIndex2) | v84(constB92, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16797,plain,
% 135.65/86.31 (v84(constB92, bitIndex0)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16796, 16154, 16291])).
% 135.65/86.31 tff(16798,plain,
% 135.65/86.31 (v84(constB92, bitIndex1)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16608, 16797, 16154, 16291])).
% 135.65/86.31 tff(16799,plain,
% 135.65/86.31 (v106(constB91)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16326, 16798, 16291])).
% 135.65/86.31 tff(16800,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16194, 619, 16191, 16799])).
% 135.65/86.31 tff(16801,plain,(v94(constB92) | v84(constB92, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16802,plain,
% 135.65/86.31 (v84(constB92, bitIndex2)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16801, 16154])).
% 135.65/86.31 tff(16803,plain,
% 135.65/86.31 (v84(constB93, bitIndex2)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16152, 16802])).
% 135.65/86.31 tff(16804,plain,
% 135.65/86.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB93, bitIndex2)) | (~v115(constB93)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16805,plain,
% 135.65/86.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v115(constB93)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16806,plain,
% 135.65/86.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB93, bitIndex2)) | (~v115(constB93))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16805, 16804])).
% 135.65/86.31 tff(16807,plain,
% 135.65/86.31 (~v115(constB93)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16806, 2665, 16803])).
% 135.65/86.31 tff(16808,assumption,(~v108(constB91)), introduced(assumption)).
% 135.65/86.31 tff(16809,assumption,(v109(constB91)), introduced(assumption)).
% 135.65/86.31 tff(16810,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16211, 669, 16809, 16808])).
% 135.65/86.31 tff(16811,plain,(v108(constB91) | (~v109(constB91))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16812,plain,
% 135.65/86.31 (~v109(constB91)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16811, 16208])).
% 135.65/86.31 tff(16813,plain,
% 135.65/86.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB92, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB92, bitIndex2)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16814,plain,
% 135.65/86.31 (((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | (~v84(constB92, bitIndex2)) | v84(constB91, bitIndex2)) <=> ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB92, bitIndex2)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16815,plain,
% 135.65/86.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | (~v84(constB92, bitIndex2)) | v84(constB91, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB92, bitIndex2))))),
% 135.65/86.31 inference(monotonicity,[status(thm)],[16814])).
% 135.65/86.31 tff(16816,plain,
% 135.65/86.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | (~v84(constB92, bitIndex2)) | v84(constB91, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB92, bitIndex2)))),
% 135.65/86.31 inference(transitivity,[status(thm)],[16815, 16813])).
% 135.65/86.31 tff(16817,plain,
% 135.65/86.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | (~v84(constB92, bitIndex2)) | v84(constB91, bitIndex2))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16818,plain,
% 135.65/86.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB91, constB92)) | v94(constB92) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB92, bitIndex2))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16817, 16816])).
% 135.65/86.31 tff(16819,plain,
% 135.65/86.31 (v84(constB91, bitIndex2)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16818, 805, 767, 16160, 16154, 16802])).
% 135.65/86.31 tff(16820,plain,
% 135.65/86.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB91)) | (~v84(constB91, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB91)) | (~v84(constB91, bitIndex2)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16821,plain,
% 135.65/86.31 (((~v84(constB91, bitIndex2)) | (~v145(constB91))) <=> ((~v145(constB91)) | (~v84(constB91, bitIndex2)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16822,plain,
% 135.65/86.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB91, bitIndex2)) | (~v145(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB91)) | (~v84(constB91, bitIndex2))))),
% 135.65/86.31 inference(monotonicity,[status(thm)],[16821])).
% 135.65/86.31 tff(16823,plain,
% 135.65/86.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB91, bitIndex2)) | (~v145(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB91)) | (~v84(constB91, bitIndex2)))),
% 135.65/86.31 inference(transitivity,[status(thm)],[16822, 16820])).
% 135.65/86.31 tff(16824,plain,
% 135.65/86.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB91, bitIndex2)) | (~v145(constB91)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16825,plain,
% 135.65/86.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB91)) | (~v84(constB91, bitIndex2))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16824, 16823])).
% 135.65/86.31 tff(16826,plain,
% 135.65/86.31 (~v145(constB91)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16825, 725, 16819])).
% 135.65/86.31 tff(16827,assumption,(v84(constB90, bitIndex1)), introduced(assumption)).
% 135.65/86.31 tff(16828,plain,
% 135.65/86.31 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16829,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_90_1')).
% 135.65/86.31 tff(16830,plain,
% 135.65/86.31 (nextState(constB90, constB91)),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16829, 16828])).
% 135.65/86.31 tff(16831,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16832,plain,
% 135.65/86.31 (((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91)) <=> (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16833,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))))),
% 135.65/86.31 inference(monotonicity,[status(thm)],[16832])).
% 135.65/86.31 tff(16834,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91)))),
% 135.65/86.31 inference(transitivity,[status(thm)],[16833, 16831])).
% 135.65/86.31 tff(16835,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB90, constB91)) | (~v95(constB91)) | v1(constB91))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16836,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB91) | (~nextState(constB90, constB91)) | (~v95(constB91))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16835, 16834])).
% 135.65/86.31 tff(16837,plain,
% 135.65/86.31 (~v95(constB91)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16836, 742, 16830, 16157])).
% 135.65/86.31 tff(16838,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16839,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16840,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB90, constB91)) | v95(constB91) | (~v94(constB91))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16839, 16838])).
% 135.65/86.31 tff(16841,plain,
% 135.65/86.31 (v95(constB91) | (~v94(constB91))),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16840, 759, 16830])).
% 135.65/86.31 tff(16842,plain,
% 135.65/86.31 (~v94(constB91)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16841, 16837])).
% 135.65/86.31 tff(16843,plain,
% 135.65/86.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB90, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB90, bitIndex1)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16844,plain,
% 135.65/86.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB90, bitIndex1)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16845,plain,
% 135.65/86.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB91, bitIndex1) | (~v84(constB90, bitIndex1))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16844, 16843])).
% 135.65/86.31 tff(16846,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16845, 777, 823, 16830, 16842, 16827, 16245])).
% 135.65/86.31 tff(16847,plain,(v84(constB91, bitIndex1) | (~v84(constB90, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16848,plain,
% 135.65/86.31 (~v84(constB90, bitIndex1)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16847, 16245])).
% 135.65/86.31 tff(16849,assumption,(~v94(constB90)), introduced(assumption)).
% 135.65/86.31 tff(16850,plain,
% 135.65/86.31 ((~v1(constB89)) <=> (~v1(constB89))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16851,axiom,(~v1(constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_89_1_1')).
% 135.65/86.31 tff(16852,plain,
% 135.65/86.31 (~v1(constB89)),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16851, 16850])).
% 135.65/86.31 tff(16853,plain,
% 135.65/86.31 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16854,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_89_1')).
% 135.65/86.31 tff(16855,plain,
% 135.65/86.31 (nextState(constB89, constB90)),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16854, 16853])).
% 135.65/86.31 tff(16856,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16857,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16858,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB89) | (~nextState(constB89, constB90)) | (~v98(constB90))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16857, 16856])).
% 135.65/86.31 tff(16859,plain,
% 135.65/86.31 (~v98(constB90)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16858, 541, 16855, 16852])).
% 135.65/86.31 tff(16860,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16861,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB89, constB90)) | v96(constB90) | v98(constB90))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16862,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB89, constB90)) | v96(constB90) | v98(constB90)),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16861, 16860])).
% 135.65/86.31 tff(16863,plain,
% 135.65/86.31 (v96(constB90) | v98(constB90)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16862, 555, 16855])).
% 135.65/86.31 tff(16864,plain,
% 135.65/86.31 (v96(constB90)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16863, 16859])).
% 135.65/86.31 tff(16865,plain,
% 135.65/86.31 (v1(constB90) <=> v1(constB90)),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16866,axiom,(v1(constB90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_90_1')).
% 135.65/86.31 tff(16867,plain,
% 135.65/86.31 (v1(constB90)),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16866, 16865])).
% 135.65/86.31 tff(16868,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16869,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16870,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB89, constB90)) | v95(constB90) | (~v96(constB90)) | (~v1(constB90))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16869, 16868])).
% 135.65/86.31 tff(16871,plain,
% 135.65/86.31 (v95(constB90) | (~v96(constB90))),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16870, 573, 16855, 16867])).
% 135.65/86.31 tff(16872,plain,
% 135.65/86.31 (v95(constB90)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16871, 16864])).
% 135.65/86.31 tff(16873,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16874,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16875,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB89, constB90)) | (~v95(constB90)) | (~v104(constB90)) | v94(constB90)),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 135.65/86.31 tff(16876,plain,
% 135.65/86.31 ((~v95(constB90)) | (~v104(constB90)) | v94(constB90)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16875, 588, 16855])).
% 135.65/86.31 tff(16877,plain,
% 135.65/86.31 ((~v104(constB90)) | v94(constB90)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16876, 16872])).
% 135.65/86.31 tff(16878,plain,
% 135.65/86.31 (~v104(constB90)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16877, 16849])).
% 135.65/86.31 tff(16879,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16880,plain,
% 135.65/86.31 (((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90)) <=> ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16881,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))))),
% 135.65/86.31 inference(monotonicity,[status(thm)],[16880])).
% 135.65/86.31 tff(16882,plain,
% 135.65/86.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89)))),
% 135.65/86.31 inference(transitivity,[status(thm)],[16881, 16879])).
% 135.65/86.31 tff(16883,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB89, constB90)) | (~v102(constB89)) | v104(constB90))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16884,plain,
% 135.65/86.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v102(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16883, 16882])).
% 135.65/86.31 tff(16885,plain,
% 135.65/86.31 (v104(constB90) | (~v102(constB89))),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16884, 604, 16855])).
% 135.65/86.31 tff(16886,plain,
% 135.65/86.31 (~v102(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16885, 16878])).
% 135.65/86.31 tff(16887,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB89) | (~v106(constB89)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB89) | (~v106(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16888,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB89) | (~v106(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16889,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB89) | (~v106(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16888, 16887])).
% 135.65/86.31 tff(16890,plain,
% 135.65/86.31 (~v106(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16889, 619, 16886])).
% 135.65/86.31 tff(16891,assumption,(v26(constB89)), introduced(assumption)).
% 135.65/86.31 tff(16892,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16893,plain,
% 135.65/86.31 ($false),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16892, 1172, 16891])).
% 135.65/86.31 tff(16894,plain,(~v26(constB89)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.31 tff(16895,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | v106(constB89) | (~v107(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16896,plain,
% 135.65/86.31 ((v26(constB89) | (~v107(constB89)) | v106(constB89)) <=> (v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16897,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | v106(constB89) | (~v107(constB89))))),
% 135.65/86.31 inference(monotonicity,[status(thm)],[16896])).
% 135.65/86.31 tff(16898,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89)))),
% 135.65/86.31 inference(transitivity,[status(thm)],[16897, 16895])).
% 135.65/86.31 tff(16899,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB89) | (~v107(constB89)) | v106(constB89))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16900,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB89) | v106(constB89) | (~v107(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 135.65/86.31 tff(16901,plain,
% 135.65/86.31 (v106(constB89) | (~v107(constB89))),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16900, 644, 16894])).
% 135.65/86.31 tff(16902,plain,
% 135.65/86.31 (~v107(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16901, 16890])).
% 135.65/86.31 tff(16903,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB89) | (~v108(constB89)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB89) | (~v108(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16904,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB89) | (~v108(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16905,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB89) | (~v108(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16904, 16903])).
% 135.65/86.31 tff(16906,plain,
% 135.65/86.31 (~v108(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16905, 658, 16902])).
% 135.65/86.31 tff(16907,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB89) | (~v109(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB89) | (~v109(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16908,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB89) | (~v109(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16909,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB89) | (~v109(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16908, 16907])).
% 135.65/86.31 tff(16910,plain,
% 135.65/86.31 (~v109(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16909, 669, 16906])).
% 135.65/86.31 tff(16911,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB89) | (~v110(constB89)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB89) | (~v110(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16912,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB89) | (~v110(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16913,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB89) | (~v110(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16912, 16911])).
% 135.65/86.31 tff(16914,plain,
% 135.65/86.31 (~v110(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16913, 680, 16910])).
% 135.65/86.31 tff(16915,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB89) | (~v111(constB89)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB89) | (~v111(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16916,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB89) | (~v111(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16917,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB89) | (~v111(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16916, 16915])).
% 135.65/86.31 tff(16918,plain,
% 135.65/86.31 (~v111(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16917, 691, 16914])).
% 135.65/86.31 tff(16919,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB89) | (~v112(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16920,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB89) | (~v112(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16921,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB89) | (~v112(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16920, 16919])).
% 135.65/86.31 tff(16922,plain,
% 135.65/86.31 (~v112(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16921, 702, 16918])).
% 135.65/86.31 tff(16923,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB89) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB89) | (~v145(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16924,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB89) | (~v145(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16925,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB89) | (~v145(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16924, 16923])).
% 135.65/86.31 tff(16926,plain,
% 135.65/86.31 (~v145(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16925, 713, 16922])).
% 135.65/86.31 tff(16927,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB89) | (~v113(constB89)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB89) | (~v113(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16928,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB89) | (~v113(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16929,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB89) | (~v113(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16928, 16927])).
% 135.65/86.31 tff(16930,plain,
% 135.65/86.31 (~v113(constB89)),
% 135.65/86.31 inference(unit_resolution,[status(thm)],[16929, 969, 16922])).
% 135.65/86.31 tff(16931,plain,
% 135.65/86.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB89) | (~v118(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB89) | (~v118(constB89)))),
% 135.65/86.31 inference(rewrite,[status(thm)],[])).
% 135.65/86.31 tff(16932,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB89) | (~v118(constB89)))),
% 135.65/86.31 inference(quant_inst,[status(thm)],[])).
% 135.65/86.31 tff(16933,plain,
% 135.65/86.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB89) | (~v118(constB89))),
% 135.65/86.31 inference(modus_ponens,[status(thm)],[16932, 16931])).
% 135.65/86.32 tff(16934,plain,
% 135.65/86.32 (~v118(constB89)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16933, 1004, 16906])).
% 135.65/86.32 tff(16935,plain,
% 135.65/86.32 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB89) | (~v172(constB89)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB89) | (~v172(constB89)))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16936,plain,
% 135.65/86.32 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB89) | (~v172(constB89)))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(16937,plain,
% 135.65/86.32 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB89) | (~v172(constB89))),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[16936, 16935])).
% 135.65/86.32 tff(16938,plain,
% 135.65/86.32 (~v172(constB89)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16937, 1033, 16910])).
% 135.65/86.32 tff(16939,assumption,(~v84(constB89, bitIndex1)), introduced(assumption)).
% 135.65/86.32 tff(16940,assumption,(~v145(constB89)), introduced(assumption)).
% 135.65/86.32 tff(16941,assumption,(~v113(constB89)), introduced(assumption)).
% 135.65/86.32 tff(16942,assumption,(~v84(constB89, bitIndex2)), introduced(assumption)).
% 135.65/86.32 tff(16943,plain,
% 135.65/86.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB89) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB89) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16944,plain,
% 135.65/86.32 (((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2) | v145(constB89)) <=> (v145(constB89) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16945,plain,
% 135.65/86.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2) | v145(constB89))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB89) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2)))),
% 135.65/86.32 inference(monotonicity,[status(thm)],[16944])).
% 135.65/86.32 tff(16946,plain,
% 135.65/86.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2) | v145(constB89))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB89) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2))),
% 135.65/86.32 inference(transitivity,[status(thm)],[16945, 16943])).
% 135.65/86.32 tff(16947,plain,
% 135.65/86.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2) | v145(constB89))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(16948,plain,
% 135.65/86.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB89) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[16947, 16946])).
% 135.65/86.32 tff(16949,plain,
% 135.65/86.32 ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16948, 865, 16940])).
% 135.65/86.32 tff(16950,plain,
% 135.65/86.32 (~v84(constB89, bitIndex0)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16949, 16942, 16939])).
% 135.65/86.32 tff(16951,plain,
% 135.65/86.32 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB89) | v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB89) | v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16952,plain,
% 135.65/86.32 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB89) | v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(16953,plain,
% 135.65/86.32 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB89) | v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[16952, 16951])).
% 135.65/86.32 tff(16954,plain,
% 135.65/86.32 (v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16953, 983, 16941])).
% 135.65/86.32 tff(16955,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16954, 16950, 16942, 16939])).
% 135.65/86.32 tff(16956,plain,(v84(constB89, bitIndex2) | v84(constB89, bitIndex1) | v113(constB89) | v145(constB89)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(16957,plain,
% 135.65/86.32 (v84(constB89, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16956, 16939, 16941, 16940])).
% 135.65/86.32 tff(16958,assumption,(~v118(constB89)), introduced(assumption)).
% 135.65/86.32 tff(16959,plain,
% 135.65/86.32 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2)) | v118(constB89))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2)) | v118(constB89))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16960,plain,
% 135.65/86.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2)) | v118(constB89))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(16961,plain,
% 135.65/86.32 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2)) | v118(constB89)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[16960, 16959])).
% 135.65/86.32 tff(16962,plain,
% 135.65/86.32 ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2))),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16961, 1018, 16958])).
% 135.65/86.32 tff(16963,plain,
% 135.65/86.32 (~v84(constB89, bitIndex0)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16962, 16957, 16939])).
% 135.65/86.32 tff(16964,assumption,(~v172(constB89)), introduced(assumption)).
% 135.65/86.32 tff(16965,plain,
% 135.65/86.32 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2)) | v172(constB89))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2)) | v172(constB89))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16966,plain,
% 135.65/86.32 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2)) | v172(constB89))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(16967,plain,
% 135.65/86.32 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2)) | v172(constB89)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[16966, 16965])).
% 135.65/86.32 tff(16968,plain,
% 135.65/86.32 (v84(constB89, bitIndex0) | v84(constB89, bitIndex1) | (~v84(constB89, bitIndex2))),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16967, 1047, 16964])).
% 135.65/86.32 tff(16969,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16968, 16963, 16957, 16939])).
% 135.65/86.32 tff(16970,plain,(v84(constB89, bitIndex1) | v172(constB89) | v118(constB89) | v113(constB89) | v145(constB89)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(16971,plain,
% 135.65/86.32 (v84(constB89, bitIndex1)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16970, 16938, 16934, 16930, 16926])).
% 135.65/86.32 tff(16972,assumption,(~v84(constB90, bitIndex1)), introduced(assumption)).
% 135.65/86.32 tff(16973,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB90, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB90, bitIndex1))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16974,plain,
% 135.65/86.32 (((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB89, bitIndex1))) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB90, bitIndex1))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16975,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB89, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB90, bitIndex1)))),
% 135.65/86.32 inference(monotonicity,[status(thm)],[16974])).
% 135.65/86.32 tff(16976,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB89, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB90, bitIndex1))),
% 135.65/86.32 inference(transitivity,[status(thm)],[16975, 16973])).
% 135.65/86.32 tff(16977,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB89, bitIndex1)))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(16978,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB90, bitIndex1)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[16977, 16976])).
% 135.65/86.32 tff(16979,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16978, 777, 823, 16855, 16849, 16972, 16971])).
% 135.65/86.32 tff(16980,plain,(v84(constB90, bitIndex1) | v94(constB90)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(16981,plain,
% 135.65/86.32 (v94(constB90)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16980, 16848])).
% 135.65/86.32 tff(16982,assumption,(v123(constB90, bitIndex1)), introduced(assumption)).
% 135.65/86.32 tff(16983,assumption,(v94(constB90)), introduced(assumption)).
% 135.65/86.32 tff(16984,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB90)) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16985,plain,
% 135.65/86.32 (((~less_3(bitIndex1)) | (~v94(constB90)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1))) <=> ((~v94(constB90)) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(16986,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB90)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB90)) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1))))),
% 135.65/86.32 inference(monotonicity,[status(thm)],[16985])).
% 135.65/86.32 tff(16987,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB90)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)))),
% 135.65/86.32 inference(transitivity,[status(thm)],[16986, 16984])).
% 135.65/86.32 tff(16988,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB90)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1)))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(16989,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1))),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[16988, 16987])).
% 135.65/86.32 tff(16990,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16989, 1674, 823, 16983, 16972, 16982])).
% 135.65/86.32 tff(16991,plain,(v84(constB90, bitIndex1) | (~v94(constB90)) | (~v123(constB90, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(16992,plain,
% 135.65/86.32 (~v123(constB90, bitIndex1)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16991, 16981, 16848])).
% 135.65/86.32 tff(16993,assumption,(~v109(constB91)), introduced(assumption)).
% 135.65/86.32 tff(16994,assumption,(~v145(constB91)), introduced(assumption)).
% 135.65/86.32 tff(16995,plain,
% 135.65/86.32 (~v110(constB91)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16215, 680, 16993])).
% 135.65/86.32 tff(16996,plain,
% 135.65/86.32 (~v111(constB91)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16219, 691, 16995])).
% 135.65/86.32 tff(16997,plain,
% 135.65/86.32 (~v172(constB91)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16353, 1033, 16993])).
% 135.65/86.32 tff(16998,plain,
% 135.65/86.32 ((~v84(constB91, bitIndex2)) | v172(constB91)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16361, 1047, 16294, 16245])).
% 135.65/86.32 tff(16999,plain,
% 135.65/86.32 (~v84(constB91, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16998, 16997])).
% 135.65/86.32 tff(17000,plain,
% 135.65/86.32 (v113(constB91) | v84(constB91, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16248, 983, 16294, 16245])).
% 135.65/86.32 tff(17001,plain,
% 135.65/86.32 (v113(constB91)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17000, 16999])).
% 135.65/86.32 tff(17002,plain,
% 135.65/86.32 (v112(constB91)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16227, 969, 17001])).
% 135.65/86.32 tff(17003,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16223, 702, 17002, 16996])).
% 135.65/86.32 tff(17004,plain,(v109(constB91) | v84(constB91, bitIndex0) | v84(constB91, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(17005,plain,
% 135.65/86.32 (v84(constB91, bitIndex0)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17004, 16245, 16993])).
% 135.65/86.32 tff(17006,assumption,(~v84(constB90, bitIndex0)), introduced(assumption)).
% 135.65/86.32 tff(17007,assumption,(v84(constB91, bitIndex0)), introduced(assumption)).
% 135.65/86.32 tff(17008,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB90, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB90, bitIndex0))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17009,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB90, bitIndex0))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(17010,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex0)) | (~v84(constB91, bitIndex0)) | v84(constB90, bitIndex0)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[17009, 17008])).
% 135.65/86.32 tff(17011,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17010, 805, 795, 16830, 16842, 17007, 17006])).
% 135.65/86.32 tff(17012,plain,((~v84(constB91, bitIndex0)) | v84(constB90, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(17013,plain,
% 135.65/86.32 (v84(constB90, bitIndex0)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17012, 17005])).
% 135.65/86.32 tff(17014,assumption,(~v123(constB90, bitIndex0)), introduced(assumption)).
% 135.65/86.32 tff(17015,assumption,(v84(constB90, bitIndex0)), introduced(assumption)).
% 135.65/86.32 tff(17016,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB90)) | (~v84(constB90, bitIndex0)) | v123(constB90, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB90)) | (~v84(constB90, bitIndex0)) | v123(constB90, bitIndex0))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17017,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB90)) | (~v84(constB90, bitIndex0)) | v123(constB90, bitIndex0))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(17018,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB90)) | (~v84(constB90, bitIndex0)) | v123(constB90, bitIndex0)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 135.65/86.32 tff(17019,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17018, 1344, 795, 16983, 17015, 17014])).
% 135.65/86.32 tff(17020,plain,((~v84(constB90, bitIndex0)) | (~v94(constB90)) | v123(constB90, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(17021,plain,
% 135.65/86.32 (v123(constB90, bitIndex0)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17020, 17013, 16981])).
% 135.65/86.32 tff(17022,assumption,(v123(constB90, bitIndex0)), introduced(assumption)).
% 135.65/86.32 tff(17023,assumption,(~v121(constB89, bitIndex0)), introduced(assumption)).
% 135.65/86.32 tff(17024,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v121(constB89, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v121(constB89, bitIndex0))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17025,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v121(constB89, bitIndex0))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(17026,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v121(constB89, bitIndex0)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 135.65/86.32 tff(17027,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17026, 1362, 795, 16855, 17023, 17022])).
% 135.65/86.32 tff(17028,plain,((~v123(constB90, bitIndex0)) | v121(constB89, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(17029,plain,
% 135.65/86.32 (v121(constB89, bitIndex0)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17028, 17021])).
% 135.65/86.32 tff(17030,assumption,(v121(constB89, bitIndex0)), introduced(assumption)).
% 135.65/86.32 tff(17031,assumption,(~v124(constB89, bitIndex0)), introduced(assumption)).
% 135.65/86.32 tff(17032,plain,
% 135.65/86.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex0)) | (~v121(constB89, bitIndex0)) | v124(constB89, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex0)) | (~v121(constB89, bitIndex0)) | v124(constB89, bitIndex0))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17033,plain,
% 135.65/86.32 ((v26(constB89) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~v121(constB89, bitIndex0))) <=> (v26(constB89) | (~less_3(bitIndex0)) | (~v121(constB89, bitIndex0)) | v124(constB89, bitIndex0))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17034,plain,
% 135.65/86.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~v121(constB89, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex0)) | (~v121(constB89, bitIndex0)) | v124(constB89, bitIndex0)))),
% 135.65/86.32 inference(monotonicity,[status(thm)],[17033])).
% 135.65/86.32 tff(17035,plain,
% 135.65/86.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~v121(constB89, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex0)) | (~v121(constB89, bitIndex0)) | v124(constB89, bitIndex0))),
% 135.65/86.32 inference(transitivity,[status(thm)],[17034, 17032])).
% 135.65/86.32 tff(17036,plain,
% 135.65/86.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~v121(constB89, bitIndex0)))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(17037,plain,
% 135.65/86.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex0)) | (~v121(constB89, bitIndex0)) | v124(constB89, bitIndex0)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[17036, 17035])).
% 135.65/86.32 tff(17038,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17037, 1380, 795, 16894, 17031, 17030])).
% 135.65/86.32 tff(17039,plain,((~v121(constB89, bitIndex0)) | v124(constB89, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(17040,plain,
% 135.65/86.32 (v124(constB89, bitIndex0)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17039, 17029])).
% 135.65/86.32 tff(17041,plain,
% 135.65/86.32 ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | v84(constB91, bitIndex1)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[16389, 865, 16994])).
% 135.65/86.32 tff(17042,plain,
% 135.65/86.32 (v84(constB91, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17041, 17005, 16245])).
% 135.65/86.32 tff(17043,assumption,(v84(constB91, bitIndex2)), introduced(assumption)).
% 135.65/86.32 tff(17044,assumption,(~v84(constB90, bitIndex2)), introduced(assumption)).
% 135.65/86.32 tff(17045,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2)))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17046,plain,
% 135.65/86.32 (((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | (~v84(constB91, bitIndex2)) | v84(constB90, bitIndex2)) <=> ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2)))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17047,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | (~v84(constB91, bitIndex2)) | v84(constB90, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2))))),
% 135.65/86.32 inference(monotonicity,[status(thm)],[17046])).
% 135.65/86.32 tff(17048,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | (~v84(constB91, bitIndex2)) | v84(constB90, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2)))),
% 135.65/86.32 inference(transitivity,[status(thm)],[17047, 17045])).
% 135.65/86.32 tff(17049,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | (~v84(constB91, bitIndex2)) | v84(constB90, bitIndex2))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(17050,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB91, bitIndex2))),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[17049, 17048])).
% 135.65/86.32 tff(17051,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17050, 805, 767, 16830, 16842, 17044, 17043])).
% 135.65/86.32 tff(17052,plain,((~v84(constB91, bitIndex2)) | v84(constB90, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(17053,plain,
% 135.65/86.32 (v84(constB90, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17052, 17042])).
% 135.65/86.32 tff(17054,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB90)) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB90)) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17055,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB90)) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(17056,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB90)) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[17055, 17054])).
% 135.65/86.32 tff(17057,plain,
% 135.65/86.32 (v123(constB90, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17056, 1344, 767, 16981, 17053])).
% 135.65/86.32 tff(17058,assumption,(~v121(constB89, bitIndex2)), introduced(assumption)).
% 135.65/86.32 tff(17059,assumption,(v123(constB90, bitIndex2)), introduced(assumption)).
% 135.65/86.32 tff(17060,plain,
% 135.65/86.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v121(constB89, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v121(constB89, bitIndex2))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17061,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v121(constB89, bitIndex2))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(17062,plain,
% 135.65/86.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v121(constB89, bitIndex2)),
% 135.65/86.32 inference(modus_ponens,[status(thm)],[17061, 17060])).
% 135.65/86.32 tff(17063,plain,
% 135.65/86.32 ($false),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17062, 1362, 767, 16855, 17059, 17058])).
% 135.65/86.32 tff(17064,plain,((~v123(constB90, bitIndex2)) | v121(constB89, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.32 tff(17065,plain,
% 135.65/86.32 (v121(constB89, bitIndex2)),
% 135.65/86.32 inference(unit_resolution,[status(thm)],[17064, 17057])).
% 135.65/86.32 tff(17066,plain,
% 135.65/86.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex2)) | (~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex2)) | (~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17067,plain,
% 135.65/86.32 ((v26(constB89) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2))) <=> (v26(constB89) | (~less_3(bitIndex2)) | (~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2))),
% 135.65/86.32 inference(rewrite,[status(thm)],[])).
% 135.65/86.32 tff(17068,plain,
% 135.65/86.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex2)) | (~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2)))),
% 135.65/86.32 inference(monotonicity,[status(thm)],[17067])).
% 135.65/86.32 tff(17069,plain,
% 135.65/86.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex2)) | (~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2))),
% 135.65/86.32 inference(transitivity,[status(thm)],[17068, 17066])).
% 135.65/86.32 tff(17070,plain,
% 135.65/86.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~v121(constB89, bitIndex2)))),
% 135.65/86.32 inference(quant_inst,[status(thm)],[])).
% 135.65/86.32 tff(17071,plain,
% 135.65/86.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex2)) | (~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2)),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17070, 17069])).
% 135.65/86.33 tff(17072,plain,
% 135.65/86.33 (v124(constB89, bitIndex2)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17071, 1380, 767, 16894, 17065])).
% 135.65/86.33 tff(17073,assumption,(~v123(constB90, bitIndex1)), introduced(assumption)).
% 135.65/86.33 tff(17074,assumption,(v121(constB89, bitIndex1)), introduced(assumption)).
% 135.65/86.33 tff(17075,plain,
% 135.65/86.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v123(constB90, bitIndex1) | (~v121(constB89, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v123(constB90, bitIndex1) | (~v121(constB89, bitIndex1)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17076,plain,
% 135.65/86.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v123(constB90, bitIndex1) | (~v121(constB89, bitIndex1)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17077,plain,
% 135.65/86.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v123(constB90, bitIndex1) | (~v121(constB89, bitIndex1))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17076, 17075])).
% 135.65/86.33 tff(17078,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17077, 1708, 823, 16855, 17074, 17073])).
% 135.65/86.33 tff(17079,plain,(v123(constB90, bitIndex1) | (~v121(constB89, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17080,plain,
% 135.65/86.33 (~v121(constB89, bitIndex1)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17079, 16992])).
% 135.65/86.33 tff(17081,assumption,(~v121(constB89, bitIndex1)), introduced(assumption)).
% 135.65/86.33 tff(17082,assumption,(v124(constB89, bitIndex1)), introduced(assumption)).
% 135.65/86.33 tff(17083,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v124(constB89, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v124(constB89, bitIndex1)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17084,plain,
% 135.65/86.33 ((v26(constB89) | v121(constB89, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1))) <=> (v26(constB89) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v124(constB89, bitIndex1)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17085,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v124(constB89, bitIndex1))))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17084])).
% 135.65/86.33 tff(17086,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v124(constB89, bitIndex1)))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17085, 17083])).
% 135.65/86.33 tff(17087,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17088,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v124(constB89, bitIndex1))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17087, 17086])).
% 135.65/86.33 tff(17089,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17088, 1728, 823, 16894, 17082, 17081])).
% 135.65/86.33 tff(17090,plain,(v121(constB89, bitIndex1) | (~v124(constB89, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17091,plain,
% 135.65/86.33 (~v124(constB89, bitIndex1)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17090, 17080])).
% 135.65/86.33 tff(17092,assumption,(~v124(constB89, bitIndex1)), introduced(assumption)).
% 135.65/86.33 tff(17093,assumption,(v115(constB89)), introduced(assumption)).
% 135.65/86.33 tff(17094,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB89)) | v124(constB89, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17095,plain,
% 135.65/86.33 (((~v115(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17096,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB89)) | v124(constB89, bitIndex1)))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17095])).
% 135.65/86.33 tff(17097,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17096, 17094])).
% 135.65/86.33 tff(17098,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b011(bitIndex1)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17099,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB89)) | v124(constB89, bitIndex1)),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17098, 17097])).
% 135.65/86.33 tff(17100,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17099, 3033, 1193, 823, 17093, 17092])).
% 135.65/86.33 tff(17101,plain,(v124(constB89, bitIndex1) | (~v115(constB89))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17102,plain,
% 135.65/86.33 (~v115(constB89)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17101, 17091])).
% 135.65/86.33 tff(17103,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB89)) | v124(constB89, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17104,plain,
% 135.65/86.33 (((~v118(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17105,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB89)) | v124(constB89, bitIndex1)))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17104])).
% 135.65/86.33 tff(17106,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17105, 17103])).
% 135.65/86.33 tff(17107,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b011(bitIndex1)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17108,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB89)) | v124(constB89, bitIndex1)),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17107, 17106])).
% 135.65/86.33 tff(17109,plain,
% 135.65/86.33 (~v118(constB89)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17108, 3033, 1145, 823, 17091])).
% 135.65/86.33 tff(17110,assumption,(v172(constB89)), introduced(assumption)).
% 135.65/86.33 tff(17111,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB89)) | v124(constB89, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17112,plain,
% 135.65/86.33 (((~v172(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17113,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB89)) | v124(constB89, bitIndex1)))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17112])).
% 135.65/86.33 tff(17114,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB89)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17113, 17111])).
% 135.65/86.33 tff(17115,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b110(bitIndex1)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17116,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB89)) | v124(constB89, bitIndex1)),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17115, 17114])).
% 135.65/86.33 tff(17117,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17116, 1801, 1798, 823, 17110, 17092])).
% 135.65/86.33 tff(17118,plain,(v124(constB89, bitIndex1) | (~v172(constB89))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17119,plain,
% 135.65/86.33 (~v172(constB89)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17118, 17091])).
% 135.65/86.33 tff(17120,assumption,(v124(constB89, bitIndex0)), introduced(assumption)).
% 135.65/86.33 tff(17121,assumption,(v113(constB89)), introduced(assumption)).
% 135.65/86.33 tff(17122,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB89)) | (~v124(constB89, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB89)) | (~v124(constB89, bitIndex0)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17123,plain,
% 135.65/86.33 (((~v113(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB89)) | (~v124(constB89, bitIndex0)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17124,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB89)) | (~v124(constB89, bitIndex0))))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17123])).
% 135.65/86.33 tff(17125,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB89)) | (~v124(constB89, bitIndex0)))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17124, 17122])).
% 135.65/86.33 tff(17126,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b100(bitIndex0))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17127,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB89)) | (~v124(constB89, bitIndex0))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17126, 17125])).
% 135.65/86.33 tff(17128,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17127, 2386, 2186, 795, 17121, 17120])).
% 135.65/86.33 tff(17129,plain,((~v124(constB89, bitIndex0)) | (~v113(constB89))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17130,plain,
% 135.65/86.33 (~v113(constB89)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17129, 17040])).
% 135.65/86.33 tff(17131,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex2)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17132,plain,
% 135.65/86.33 ((v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex2)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17133,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex2))))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17132])).
% 135.65/86.33 tff(17134,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex2)))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17133, 17131])).
% 135.65/86.33 tff(17135,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b001(bitIndex2))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17136,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex2))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17135, 17134])).
% 135.65/86.33 tff(17137,plain,
% 135.65/86.33 (v116(constB89)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17136, 2427, 2424, 767, 16940, 17130, 17119, 17109, 17102, 17072])).
% 135.65/86.33 tff(17138,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB89)) | (~v124(constB89, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB89)) | (~v124(constB89, bitIndex0)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17139,plain,
% 135.65/86.33 (((~v116(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB89)) | (~v124(constB89, bitIndex0)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17140,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB89)) | (~v124(constB89, bitIndex0))))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17139])).
% 135.65/86.33 tff(17141,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB89)) | (~v124(constB89, bitIndex0)))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17140, 17138])).
% 135.65/86.33 tff(17142,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b100(bitIndex0))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17143,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB89)) | (~v124(constB89, bitIndex0))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17142, 17141])).
% 135.65/86.33 tff(17144,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17143, 2386, 2164, 795, 17137, 17040])).
% 135.65/86.33 tff(17145,plain,(v84(constB91, bitIndex1) | v145(constB89) | v145(constB91) | v109(constB91)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17146,plain,
% 135.65/86.33 (v145(constB89)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17145, 16245, 16994, 16993])).
% 135.65/86.33 tff(17147,assumption,(v145(constB89)), introduced(assumption)).
% 135.65/86.33 tff(17148,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB89)) | (~b010(bitIndex1)) | v124(constB89, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB89)) | (~b010(bitIndex1)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17149,plain,
% 135.65/86.33 (((~v145(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB89)) | (~b010(bitIndex1)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17150,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB89)) | (~b010(bitIndex1)) | v124(constB89, bitIndex1)))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17149])).
% 135.65/86.33 tff(17151,plain,
% 135.65/86.33 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB89)) | (~b010(bitIndex1)) | v124(constB89, bitIndex1))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17150, 17148])).
% 135.65/86.33 tff(17152,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB89)) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~b010(bitIndex1)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17153,plain,
% 135.65/86.33 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB89)) | (~b010(bitIndex1)) | v124(constB89, bitIndex1)),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17152, 17151])).
% 135.65/86.33 tff(17154,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17153, 1821, 1818, 823, 17147, 17092])).
% 135.65/86.33 tff(17155,plain,(v124(constB89, bitIndex1) | (~v145(constB89))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17156,plain,
% 135.65/86.33 (v124(constB89, bitIndex1)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17155, 17146])).
% 135.65/86.33 tff(17157,plain,
% 135.65/86.33 (v121(constB89, bitIndex1)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17090, 17156])).
% 135.65/86.33 tff(17158,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17079, 17157, 16992])).
% 135.65/86.33 tff(17159,plain,(v84(constB91, bitIndex1) | v145(constB91) | v109(constB91)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17160,plain,
% 135.65/86.33 (v84(constB91, bitIndex1)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17159, 16826, 16812])).
% 135.65/86.33 tff(17161,plain,
% 135.65/86.33 (v84(constB92, bitIndex1)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[16259, 17160, 16154])).
% 135.65/86.33 tff(17162,plain,
% 135.65/86.33 (v84(constB93, bitIndex1)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[16133, 17161])).
% 135.65/86.33 tff(17163,plain,
% 135.65/86.33 (~v145(constB93)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[16144, 16803])).
% 135.65/86.33 tff(17164,plain,
% 135.65/86.33 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB91) | (~v119(constB91)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB91) | (~v119(constB91)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17165,plain,
% 135.65/86.33 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB91) | (~v119(constB91)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17166,plain,
% 135.65/86.33 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB91) | (~v119(constB91))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17165, 17164])).
% 135.65/86.33 tff(17167,plain,
% 135.65/86.33 (~v119(constB91)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17166, 1927, 16204])).
% 135.65/86.33 tff(17168,plain,
% 135.65/86.33 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB91, bitIndex0) | v119(constB91) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB91, bitIndex0) | v119(constB91) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17169,plain,
% 135.65/86.33 ((v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2)) | v119(constB91)) <=> (v84(constB91, bitIndex0) | v119(constB91) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17170,plain,
% 135.65/86.33 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2)) | v119(constB91))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB91, bitIndex0) | v119(constB91) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2))))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17169])).
% 135.65/86.33 tff(17171,plain,
% 135.65/86.33 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2)) | v119(constB91))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB91, bitIndex0) | v119(constB91) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2)))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17170, 17168])).
% 135.65/86.33 tff(17172,plain,
% 135.65/86.33 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2)) | v119(constB91))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17173,plain,
% 135.65/86.33 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB91, bitIndex0) | v119(constB91) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17172, 17171])).
% 135.65/86.33 tff(17174,plain,
% 135.65/86.33 (v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1))),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17173, 1910, 17167, 16819])).
% 135.65/86.33 tff(17175,plain,
% 135.65/86.33 (v84(constB91, bitIndex0)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17174, 17160])).
% 135.65/86.33 tff(17176,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[16243, 777, 795, 16160, 16154, 17007, 16356])).
% 135.65/86.33 tff(17177,plain,(v84(constB92, bitIndex0) | v94(constB92) | (~v84(constB91, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17178,plain,
% 135.65/86.33 (v84(constB92, bitIndex0)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17177, 17175, 16154])).
% 135.65/86.33 tff(17179,assumption,(~v84(constB93, bitIndex0)), introduced(assumption)).
% 135.65/86.33 tff(17180,plain,
% 135.65/86.33 ($false),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[16236, 777, 795, 16116, 16128, 16409, 17179])).
% 135.65/86.33 tff(17181,plain,(v84(constB93, bitIndex0) | (~v84(constB92, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.33 tff(17182,plain,
% 135.65/86.33 (v84(constB93, bitIndex0)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17181, 17178])).
% 135.65/86.33 tff(17183,assumption,(v84(constB93, bitIndex1)), introduced(assumption)).
% 135.65/86.33 tff(17184,plain,
% 135.65/86.33 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB93)) | (~v84(constB93, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB93)) | (~v84(constB93, bitIndex1)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17185,plain,
% 135.65/86.33 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB93)) | (~v84(constB93, bitIndex1)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17186,plain,
% 135.65/86.33 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB93)) | (~v84(constB93, bitIndex1))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17185, 17184])).
% 135.65/86.33 tff(17187,plain,
% 135.65/86.33 (~v113(constB93)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17186, 1465, 17183])).
% 135.65/86.33 tff(17188,plain,
% 135.65/86.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB93) | (~v112(constB93)) | v113(constB93))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB93) | (~v112(constB93)) | v113(constB93))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17189,plain,
% 135.65/86.33 ((v113(constB93) | (~v112(constB93)) | v145(constB93)) <=> (v145(constB93) | (~v112(constB93)) | v113(constB93))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17190,plain,
% 135.65/86.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB93) | (~v112(constB93)) | v145(constB93))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB93) | (~v112(constB93)) | v113(constB93)))),
% 135.65/86.33 inference(monotonicity,[status(thm)],[17189])).
% 135.65/86.33 tff(17191,plain,
% 135.65/86.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB93) | (~v112(constB93)) | v145(constB93))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB93) | (~v112(constB93)) | v113(constB93))),
% 135.65/86.33 inference(transitivity,[status(thm)],[17190, 17188])).
% 135.65/86.33 tff(17192,plain,
% 135.65/86.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB93) | (~v112(constB93)) | v145(constB93))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17193,plain,
% 135.65/86.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB93) | (~v112(constB93)) | v113(constB93)),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17192, 17191])).
% 135.65/86.33 tff(17194,plain,
% 135.65/86.33 ((~v112(constB93)) | v113(constB93)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17193, 2894, 16029])).
% 135.65/86.33 tff(17195,plain,
% 135.65/86.33 (~v112(constB93)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17194, 17187])).
% 135.65/86.33 tff(17196,assumption,(~v115(constB93)), introduced(assumption)).
% 135.65/86.33 tff(17197,plain,
% 135.65/86.33 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB93) | v115(constB93) | (~v111(constB93)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB93) | v115(constB93) | (~v111(constB93)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17198,plain,
% 135.65/86.33 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB93) | v115(constB93) | (~v111(constB93)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17199,plain,
% 135.65/86.33 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB93) | v115(constB93) | (~v111(constB93))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17198, 17197])).
% 135.65/86.33 tff(17200,plain,
% 135.65/86.33 (~v111(constB93)),
% 135.65/86.33 inference(unit_resolution,[status(thm)],[17199, 2911, 17196, 17195])).
% 135.65/86.33 tff(17201,plain,
% 135.65/86.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v116(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB93, bitIndex2)) | (~v116(constB93)))),
% 135.65/86.33 inference(rewrite,[status(thm)],[])).
% 135.65/86.33 tff(17202,plain,
% 135.65/86.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB93, bitIndex2)) | (~v116(constB93)))),
% 135.65/86.33 inference(quant_inst,[status(thm)],[])).
% 135.65/86.33 tff(17203,plain,
% 135.65/86.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB93, bitIndex2)) | (~v116(constB93))),
% 135.65/86.33 inference(modus_ponens,[status(thm)],[17202, 17201])).
% 135.65/86.34 tff(17204,plain,
% 135.65/86.34 (~v116(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17203, 1130, 16135])).
% 135.65/86.34 tff(17205,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB93)) | (~v84(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB93)) | (~v84(constB93, bitIndex0)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17206,plain,
% 135.65/86.34 (((~v84(constB93, bitIndex0)) | (~v119(constB93))) <=> ((~v119(constB93)) | (~v84(constB93, bitIndex0)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17207,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB93, bitIndex0)) | (~v119(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB93)) | (~v84(constB93, bitIndex0))))),
% 135.65/86.34 inference(monotonicity,[status(thm)],[17206])).
% 135.65/86.34 tff(17208,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB93, bitIndex0)) | (~v119(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB93)) | (~v84(constB93, bitIndex0)))),
% 135.65/86.34 inference(transitivity,[status(thm)],[17207, 17205])).
% 135.65/86.34 tff(17209,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB93, bitIndex0)) | (~v119(constB93)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17210,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB93)) | (~v84(constB93, bitIndex0))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17209, 17208])).
% 135.65/86.34 tff(17211,plain,
% 135.65/86.34 (~v119(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17210, 3173, 16401])).
% 135.65/86.34 tff(17212,assumption,(v107(constB93)), introduced(assumption)).
% 135.65/86.34 tff(17213,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB93) | v119(constB93) | (~v107(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB93) | v119(constB93) | (~v107(constB93)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17214,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB93) | v119(constB93) | (~v107(constB93)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17215,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB93) | v119(constB93) | (~v107(constB93))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17214, 17213])).
% 135.65/86.34 tff(17216,plain,
% 135.65/86.34 (v108(constB93) | v119(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17215, 3195, 17212])).
% 135.65/86.34 tff(17217,plain,
% 135.65/86.34 (v108(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17216, 17211])).
% 135.65/86.34 tff(17218,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB93, bitIndex1)) | (~v118(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB93, bitIndex1)) | (~v118(constB93)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17219,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB93, bitIndex1)) | (~v118(constB93)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17220,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB93, bitIndex1)) | (~v118(constB93))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 135.65/86.34 tff(17221,plain,
% 135.65/86.34 (~v118(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17220, 2842, 17183])).
% 135.65/86.34 tff(17222,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB93) | v118(constB93) | (~v108(constB93)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB93) | v118(constB93) | (~v108(constB93)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17223,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB93) | v118(constB93) | (~v108(constB93)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17224,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB93) | v118(constB93) | (~v108(constB93))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17223, 17222])).
% 135.65/86.34 tff(17225,plain,
% 135.65/86.34 (v109(constB93) | (~v108(constB93))),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17224, 2856, 17221])).
% 135.65/86.34 tff(17226,plain,
% 135.65/86.34 (v109(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17225, 17217])).
% 135.65/86.34 tff(17227,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB93, bitIndex1)) | (~v172(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB93, bitIndex1)) | (~v172(constB93)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17228,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB93, bitIndex1)) | (~v172(constB93)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17229,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB93, bitIndex1)) | (~v172(constB93))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17228, 17227])).
% 135.65/86.34 tff(17230,plain,
% 135.65/86.34 (~v172(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17229, 2289, 17183])).
% 135.65/86.34 tff(17231,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB93)) | v172(constB93) | v110(constB93))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB93)) | v172(constB93) | v110(constB93))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17232,plain,
% 135.65/86.34 ((v110(constB93) | (~v109(constB93)) | v172(constB93)) <=> ((~v109(constB93)) | v172(constB93) | v110(constB93))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17233,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB93) | (~v109(constB93)) | v172(constB93))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB93)) | v172(constB93) | v110(constB93)))),
% 135.65/86.34 inference(monotonicity,[status(thm)],[17232])).
% 135.65/86.34 tff(17234,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB93) | (~v109(constB93)) | v172(constB93))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB93)) | v172(constB93) | v110(constB93))),
% 135.65/86.34 inference(transitivity,[status(thm)],[17233, 17231])).
% 135.65/86.34 tff(17235,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB93) | (~v109(constB93)) | v172(constB93))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17236,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB93)) | v172(constB93) | v110(constB93)),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17235, 17234])).
% 135.65/86.34 tff(17237,plain,
% 135.65/86.34 ((~v109(constB93)) | v110(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17236, 2871, 17230])).
% 135.65/86.34 tff(17238,plain,
% 135.65/86.34 (v110(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17237, 17226])).
% 135.65/86.34 tff(17239,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB93) | v116(constB93) | (~v110(constB93)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB93) | v116(constB93) | (~v110(constB93)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17240,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB93) | v116(constB93) | (~v110(constB93)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17241,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB93) | v116(constB93) | (~v110(constB93))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 135.65/86.34 tff(17242,plain,
% 135.65/86.34 ($false),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17241, 2932, 17238, 17204, 17200])).
% 135.65/86.34 tff(17243,plain,(v145(constB93) | (~v107(constB93)) | v115(constB93) | (~v84(constB93, bitIndex2)) | (~v84(constB93, bitIndex0)) | (~v84(constB93, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.34 tff(17244,plain,
% 135.65/86.34 (~v107(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17243, 17182, 17163, 16803, 17162, 16807])).
% 135.65/86.34 tff(17245,plain,
% 135.65/86.34 ($false),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[15942, 777, 823, 15758, 15753, 15769, 17183])).
% 135.65/86.34 tff(17246,plain,((~v84(constB93, bitIndex1)) | v94(constB94) | v84(constB94, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.34 tff(17247,plain,
% 135.65/86.34 (v94(constB94)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17246, 17162, 15769])).
% 135.65/86.34 tff(17248,plain,
% 135.65/86.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v94(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v94(constB94)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17249,plain,
% 135.65/86.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB93, constB94)) | v104(constB94) | (~v94(constB94)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17250,plain,
% 135.65/86.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB93, constB94)) | v104(constB94) | (~v94(constB94))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17249, 17248])).
% 135.65/86.34 tff(17251,plain,
% 135.65/86.34 (v104(constB94) | (~v94(constB94))),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17250, 3113, 15758])).
% 135.65/86.34 tff(17252,plain,
% 135.65/86.34 (v104(constB94)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17251, 17247])).
% 135.65/86.34 tff(17253,plain,
% 135.65/86.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB93, constB94)) | (~v104(constB94)) | v102(constB93))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB93, constB94)) | (~v104(constB94)) | v102(constB93))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17254,plain,
% 135.65/86.34 (((~nextState(constB93, constB94)) | v102(constB93) | (~v104(constB94))) <=> ((~nextState(constB93, constB94)) | (~v104(constB94)) | v102(constB93))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17255,plain,
% 135.65/86.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB93, constB94)) | v102(constB93) | (~v104(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB93, constB94)) | (~v104(constB94)) | v102(constB93)))),
% 135.65/86.34 inference(monotonicity,[status(thm)],[17254])).
% 135.65/86.34 tff(17256,plain,
% 135.65/86.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB93, constB94)) | v102(constB93) | (~v104(constB94)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB93, constB94)) | (~v104(constB94)) | v102(constB93))),
% 135.65/86.34 inference(transitivity,[status(thm)],[17255, 17253])).
% 135.65/86.34 tff(17257,plain,
% 135.65/86.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB93, constB94)) | v102(constB93) | (~v104(constB94)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17258,plain,
% 135.65/86.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB93, constB94)) | (~v104(constB94)) | v102(constB93)),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17257, 17256])).
% 135.65/86.34 tff(17259,plain,
% 135.65/86.34 ((~v104(constB94)) | v102(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17258, 3128, 15758])).
% 135.65/86.34 tff(17260,plain,
% 135.65/86.34 (v102(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17259, 17252])).
% 135.65/86.34 tff(17261,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB93)) | v26(constB93) | v106(constB93))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB93)) | v26(constB93) | v106(constB93))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17262,plain,
% 135.65/86.34 ((v26(constB93) | v106(constB93) | (~v102(constB93))) <=> ((~v102(constB93)) | v26(constB93) | v106(constB93))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17263,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB93) | v106(constB93) | (~v102(constB93)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB93)) | v26(constB93) | v106(constB93)))),
% 135.65/86.34 inference(monotonicity,[status(thm)],[17262])).
% 135.65/86.34 tff(17264,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB93) | v106(constB93) | (~v102(constB93)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB93)) | v26(constB93) | v106(constB93))),
% 135.65/86.34 inference(transitivity,[status(thm)],[17263, 17261])).
% 135.65/86.34 tff(17265,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB93) | v106(constB93) | (~v102(constB93)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17266,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB93)) | v26(constB93) | v106(constB93)),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17265, 17264])).
% 135.65/86.34 tff(17267,plain,
% 135.65/86.34 ((~v102(constB93)) | v106(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17266, 3146, 15786])).
% 135.65/86.34 tff(17268,plain,
% 135.65/86.34 (v106(constB93)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17267, 17260])).
% 135.65/86.34 tff(17269,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB93) | (~v106(constB93)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB93) | (~v106(constB93)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17270,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB93) | (~v106(constB93)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17271,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB93) | (~v106(constB93))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17270, 17269])).
% 135.65/86.34 tff(17272,plain,
% 135.65/86.34 ($false),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17271, 3161, 17268, 17244])).
% 135.65/86.34 tff(17273,plain,(v94(constB92) | v84(constB94, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.34 tff(17274,plain,
% 135.65/86.34 (v94(constB92)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17273, 15769])).
% 135.65/86.34 tff(17275,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB91, bitIndex0)) | (~v119(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB91, bitIndex0)) | (~v119(constB91)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17276,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB91, bitIndex0)) | (~v119(constB91)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17277,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB91, bitIndex0)) | (~v119(constB91))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 135.65/86.34 tff(17278,plain,
% 135.65/86.34 (~v84(constB91, bitIndex0)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17277, 3173, 16784])).
% 135.65/86.34 tff(17279,assumption,(v145(constB91)), introduced(assumption)).
% 135.65/86.34 tff(17280,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB91)) | v84(constB91, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB91)) | v84(constB91, bitIndex0))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17281,plain,
% 135.65/86.34 ((v84(constB91, bitIndex0) | (~v145(constB91))) <=> ((~v145(constB91)) | v84(constB91, bitIndex0))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17282,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB91, bitIndex0) | (~v145(constB91)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB91)) | v84(constB91, bitIndex0)))),
% 135.65/86.34 inference(monotonicity,[status(thm)],[17281])).
% 135.65/86.34 tff(17283,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB91, bitIndex0) | (~v145(constB91)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB91)) | v84(constB91, bitIndex0))),
% 135.65/86.34 inference(transitivity,[status(thm)],[17282, 17280])).
% 135.65/86.34 tff(17284,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB91, bitIndex0) | (~v145(constB91)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17285,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB91)) | v84(constB91, bitIndex0)),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17284, 17283])).
% 135.65/86.34 tff(17286,plain,
% 135.65/86.34 ($false),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17285, 788, 17279, 16294])).
% 135.65/86.34 tff(17287,plain,((~v145(constB91)) | v84(constB91, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.34 tff(17288,plain,
% 135.65/86.34 (~v145(constB91)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17287, 17278])).
% 135.65/86.34 tff(17289,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB91, bitIndex1) | (~v119(constB91)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | v84(constB91, bitIndex1) | (~v119(constB91)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17290,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB91, bitIndex1) | (~v119(constB91)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17291,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | v84(constB91, bitIndex1) | (~v119(constB91))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17290, 17289])).
% 135.65/86.34 tff(17292,plain,
% 135.65/86.34 (v84(constB91, bitIndex1)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17291, 9858, 16784])).
% 135.65/86.34 tff(17293,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB91, bitIndex1)) | (~v172(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB91, bitIndex1)) | (~v172(constB91)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17294,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB91, bitIndex1)) | (~v172(constB91)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17295,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB91, bitIndex1)) | (~v172(constB91))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17294, 17293])).
% 135.65/86.34 tff(17296,plain,
% 135.65/86.34 (~v172(constB91)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17295, 2289, 17292])).
% 135.65/86.34 tff(17297,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB91, bitIndex2)) | (~v116(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB91, bitIndex2)) | (~v116(constB91)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17298,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB91, bitIndex2)) | (~v116(constB91)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17299,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB91, bitIndex2)) | (~v116(constB91))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17298, 17297])).
% 135.65/86.34 tff(17300,plain,
% 135.65/86.34 (~v116(constB91)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17299, 1130, 16788])).
% 135.65/86.34 tff(17301,plain,
% 135.65/86.34 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB91, bitIndex0) | (~v118(constB91)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB91, bitIndex0) | (~v118(constB91)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17302,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB91, bitIndex0) | (~v118(constB91)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17303,plain,
% 135.65/86.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB91, bitIndex0) | (~v118(constB91))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17302, 17301])).
% 135.65/86.34 tff(17304,plain,
% 135.65/86.34 (~v118(constB91)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17303, 2642, 17278])).
% 135.65/86.34 tff(17305,plain,
% 135.65/86.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB91, bitIndex2)) | (~v115(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB91, bitIndex2)) | (~v115(constB91)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17306,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB91, bitIndex2)) | (~v115(constB91)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17307,plain,
% 135.65/86.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB91, bitIndex2)) | (~v115(constB91))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17306, 17305])).
% 135.65/86.34 tff(17308,plain,
% 135.65/86.34 (~v115(constB91)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17307, 2665, 16788])).
% 135.65/86.34 tff(17309,assumption,(~v118(constB91)), introduced(assumption)).
% 135.65/86.34 tff(17310,assumption,(~v172(constB91)), introduced(assumption)).
% 135.65/86.34 tff(17311,assumption,(~v113(constB91)), introduced(assumption)).
% 135.65/86.34 tff(17312,plain,
% 135.65/86.34 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex1)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex1)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17313,plain,
% 135.65/86.34 ((v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex1)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17314,plain,
% 135.65/86.34 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex1)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)))),
% 135.65/86.34 inference(monotonicity,[status(thm)],[17313])).
% 135.65/86.34 tff(17315,plain,
% 135.65/86.34 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex1)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.34 inference(transitivity,[status(thm)],[17314, 17312])).
% 135.65/86.34 tff(17316,plain,
% 135.65/86.34 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b001(bitIndex1))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17317,plain,
% 135.65/86.34 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex1)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 135.65/86.34 tff(17318,plain,
% 135.65/86.34 ($false),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17317, 2601, 2424, 823, 16994, 17311, 16678, 16672, 17310, 16469, 17309])).
% 135.65/86.34 tff(17319,plain,((~v124(constB91, bitIndex1)) | v145(constB91) | v113(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.34 tff(17320,plain,
% 135.65/86.34 (~v124(constB91, bitIndex1)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17319, 17308, 17304, 17300, 16994, 17296, 16792])).
% 135.65/86.34 tff(17321,plain,
% 135.65/86.34 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex1)) | (~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex1)) | (~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17322,plain,
% 135.65/86.34 ((v26(constB91) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1))) <=> (v26(constB91) | (~less_3(bitIndex1)) | (~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17323,plain,
% 135.65/86.34 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex1)) | (~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1)))),
% 135.65/86.34 inference(monotonicity,[status(thm)],[17322])).
% 135.65/86.34 tff(17324,plain,
% 135.65/86.34 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex1)) | (~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1))),
% 135.65/86.34 inference(transitivity,[status(thm)],[17323, 17321])).
% 135.65/86.34 tff(17325,plain,
% 135.65/86.34 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex1)) | v124(constB91, bitIndex1) | (~v121(constB91, bitIndex1)))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17326,plain,
% 135.65/86.34 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex1)) | (~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1)),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 135.65/86.34 tff(17327,plain,
% 135.65/86.34 ($false),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17326, 1380, 823, 16199, 16479, 16461])).
% 135.65/86.34 tff(17328,plain,((~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.34 tff(17329,plain,
% 135.65/86.34 (~v121(constB91, bitIndex1)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17328, 17320])).
% 135.65/86.34 tff(17330,plain,
% 135.65/86.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17331,plain,
% 135.65/86.34 (((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | (~v123(constB92, bitIndex1)) | v121(constB91, bitIndex1)) <=> ((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17332,plain,
% 135.65/86.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | (~v123(constB92, bitIndex1)) | v121(constB91, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))))),
% 135.65/86.34 inference(monotonicity,[status(thm)],[17331])).
% 135.65/86.34 tff(17333,plain,
% 135.65/86.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | (~v123(constB92, bitIndex1)) | v121(constB91, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1)))),
% 135.65/86.34 inference(transitivity,[status(thm)],[17332, 17330])).
% 135.65/86.34 tff(17334,plain,
% 135.65/86.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | (~v123(constB92, bitIndex1)) | v121(constB91, bitIndex1))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17335,plain,
% 135.65/86.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex1)) | v121(constB91, bitIndex1) | (~v123(constB92, bitIndex1))),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17334, 17333])).
% 135.65/86.34 tff(17336,plain,
% 135.65/86.34 ($false),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17335, 1362, 823, 16160, 16450, 16468])).
% 135.65/86.34 tff(17337,plain,((~v123(constB92, bitIndex1)) | v121(constB91, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.34 tff(17338,plain,
% 135.65/86.34 (~v123(constB92, bitIndex1)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17337, 17329])).
% 135.65/86.34 tff(17339,plain,
% 135.65/86.34 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB92)) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB92)) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1))),
% 135.65/86.34 inference(rewrite,[status(thm)],[])).
% 135.65/86.34 tff(17340,plain,
% 135.65/86.34 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB92)) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1))),
% 135.65/86.34 inference(quant_inst,[status(thm)],[])).
% 135.65/86.34 tff(17341,plain,
% 135.65/86.34 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB92)) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1)),
% 135.65/86.34 inference(modus_ponens,[status(thm)],[17340, 17339])).
% 135.65/86.34 tff(17342,plain,
% 135.65/86.34 ($false),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17341, 1344, 823, 16410, 16113, 16460])).
% 135.65/86.34 tff(17343,plain,((~v84(constB92, bitIndex1)) | (~v94(constB92)) | v123(constB92, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.34 tff(17344,plain,
% 135.65/86.34 (~v84(constB92, bitIndex1)),
% 135.65/86.34 inference(unit_resolution,[status(thm)],[17343, 17338, 16410])).
% 135.65/86.35 tff(17345,assumption,(v124(constB91, bitIndex2)), introduced(assumption)).
% 135.65/86.35 tff(17346,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex2)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex2)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17347,plain,
% 135.65/86.35 ((v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex2)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17348,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex2)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)))),
% 135.65/86.35 inference(monotonicity,[status(thm)],[17347])).
% 135.65/86.35 tff(17349,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex2)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91))),
% 135.65/86.35 inference(transitivity,[status(thm)],[17348, 17346])).
% 135.65/86.35 tff(17350,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB91) | v145(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b001(bitIndex2))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17351,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB91) | v113(constB91) | (~v124(constB91, bitIndex2)) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 135.65/86.35 tff(17352,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17351, 2427, 2424, 767, 16994, 17345, 17311, 16678, 16672, 17310, 17309])).
% 135.65/86.35 tff(17353,plain,((~v124(constB91, bitIndex2)) | v145(constB91) | v113(constB91) | v115(constB91) | v116(constB91) | v172(constB91) | v118(constB91)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17354,plain,
% 135.65/86.35 (~v124(constB91, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17353, 17308, 16994, 17300, 17296, 16792, 17304])).
% 135.65/86.35 tff(17355,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex2)) | (~v121(constB91, bitIndex2)) | v124(constB91, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex2)) | (~v121(constB91, bitIndex2)) | v124(constB91, bitIndex2))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17356,plain,
% 135.65/86.35 ((v26(constB91) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~v121(constB91, bitIndex2))) <=> (v26(constB91) | (~less_3(bitIndex2)) | (~v121(constB91, bitIndex2)) | v124(constB91, bitIndex2))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17357,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~v121(constB91, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex2)) | (~v121(constB91, bitIndex2)) | v124(constB91, bitIndex2)))),
% 135.65/86.35 inference(monotonicity,[status(thm)],[17356])).
% 135.65/86.35 tff(17358,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~v121(constB91, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex2)) | (~v121(constB91, bitIndex2)) | v124(constB91, bitIndex2))),
% 135.65/86.35 inference(transitivity,[status(thm)],[17357, 17355])).
% 135.65/86.35 tff(17359,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB91) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~v121(constB91, bitIndex2)))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17360,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB91) | (~less_3(bitIndex2)) | (~v121(constB91, bitIndex2)) | v124(constB91, bitIndex2)),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17359, 17358])).
% 135.65/86.35 tff(17361,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17360, 1380, 767, 16199, 16555, 16534])).
% 135.65/86.35 tff(17362,plain,(v124(constB91, bitIndex2) | (~v121(constB91, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17363,plain,
% 135.65/86.35 (~v121(constB91, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17362, 17354])).
% 135.65/86.35 tff(17364,assumption,(~v121(constB91, bitIndex2)), introduced(assumption)).
% 135.65/86.35 tff(17365,assumption,(v123(constB92, bitIndex2)), introduced(assumption)).
% 135.65/86.35 tff(17366,plain,
% 135.65/86.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v121(constB91, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v121(constB91, bitIndex2))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17367,plain,
% 135.65/86.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB91, constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v121(constB91, bitIndex2))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17368,plain,
% 135.65/86.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB91, constB92)) | (~less_3(bitIndex2)) | (~v123(constB92, bitIndex2)) | v121(constB91, bitIndex2)),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17367, 17366])).
% 135.65/86.35 tff(17369,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17368, 1362, 767, 16160, 17365, 17364])).
% 135.65/86.35 tff(17370,plain,(v121(constB91, bitIndex2) | (~v123(constB92, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17371,plain,
% 135.65/86.35 (~v123(constB92, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17370, 17363])).
% 135.65/86.35 tff(17372,plain,
% 135.65/86.35 (~v84(constB92, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16133, 15754])).
% 135.65/86.35 tff(17373,plain,
% 135.65/86.35 (v94(constB92)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16259, 17372, 16253])).
% 135.65/86.35 tff(17374,plain,
% 135.65/86.35 (v84(constB92, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16598, 17372, 16146])).
% 135.65/86.35 tff(17375,plain,
% 135.65/86.35 (v84(constB93, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17181, 17374])).
% 135.65/86.35 tff(17376,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16007, 865, 16029, 15754, 16146, 17375])).
% 135.65/86.35 tff(17377,plain,(v145(constB93) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17378,plain,
% 135.65/86.35 (v84(constB93, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17377, 15754, 16029])).
% 135.65/86.35 tff(17379,plain,
% 135.65/86.35 (v84(constB92, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16494, 17378])).
% 135.65/86.35 tff(17380,plain,
% 135.65/86.35 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB92)) | (~v84(constB92, bitIndex2)) | v123(constB92, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB92)) | (~v84(constB92, bitIndex2)) | v123(constB92, bitIndex2))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17381,plain,
% 135.65/86.35 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB92)) | (~v84(constB92, bitIndex2)) | v123(constB92, bitIndex2))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17382,plain,
% 135.65/86.35 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB92)) | (~v84(constB92, bitIndex2)) | v123(constB92, bitIndex2)),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17381, 17380])).
% 135.65/86.35 tff(17383,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17382, 1344, 767, 16410, 16147, 16533])).
% 135.65/86.35 tff(17384,plain,(v123(constB92, bitIndex2) | (~v94(constB92)) | (~v84(constB92, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17385,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17384, 17379, 17373, 16533])).
% 135.65/86.35 tff(17386,plain,(v84(constB93, bitIndex1) | v123(constB92, bitIndex2) | (~v84(constB91, bitIndex1)) | v145(constB93)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17387,plain,
% 135.65/86.35 (v84(constB93, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17386, 17371, 16029, 17292])).
% 135.65/86.35 tff(17388,plain,
% 135.65/86.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex1)) | (~v84(constB93, bitIndex1)) | v84(constB92, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex1)) | (~v84(constB93, bitIndex1)) | v84(constB92, bitIndex1))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17389,plain,
% 135.65/86.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex1)) | (~v84(constB93, bitIndex1)) | v84(constB92, bitIndex1))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17390,plain,
% 135.65/86.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB92, constB93)) | v94(constB93) | (~less_3(bitIndex1)) | (~v84(constB93, bitIndex1)) | v84(constB92, bitIndex1)),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17389, 17388])).
% 135.65/86.35 tff(17391,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17390, 805, 823, 16116, 16128, 16254, 17183])).
% 135.65/86.35 tff(17392,plain,((~v84(constB93, bitIndex1)) | v84(constB92, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17393,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17392, 17387, 17344])).
% 135.65/86.35 tff(17394,plain,((~v119(constB91)) | v145(constB93) | (~v94(constB92)) | v145(constB91)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17395,plain,
% 135.65/86.35 (v145(constB93)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17394, 17288, 17274, 16784])).
% 135.65/86.35 tff(17396,plain,
% 135.65/86.35 (~v84(constB93, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16144, 17395])).
% 135.65/86.35 tff(17397,plain,
% 135.65/86.35 (~v84(constB92, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16152, 17396])).
% 135.65/86.35 tff(17398,plain,
% 135.65/86.35 (v84(constB92, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16598, 16356, 16495])).
% 135.65/86.35 tff(17399,plain,
% 135.65/86.35 (v94(constB92)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16357, 16313])).
% 135.65/86.35 tff(17400,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16281, 17399, 16277])).
% 135.65/86.35 tff(17401,plain,(v106(constB91) | v84(constB92, bitIndex0) | v84(constB92, bitIndex2) | (~v84(constB92, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17402,plain,
% 135.65/86.35 (v106(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17401, 16356, 16291, 16113])).
% 135.65/86.35 tff(17403,plain,
% 135.65/86.35 (v102(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16194, 619, 17402])).
% 135.65/86.35 tff(17404,plain,
% 135.65/86.35 (v104(constB92)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16190, 17403])).
% 135.65/86.35 tff(17405,plain,
% 135.65/86.35 (v94(constB92)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16182, 17404])).
% 135.65/86.35 tff(17406,plain,
% 135.65/86.35 ((~v94(constB92)) | (~v123(constB92, bitIndex0))),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16502, 1674, 795, 16356])).
% 135.65/86.35 tff(17407,plain,
% 135.65/86.35 (~v123(constB92, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17406, 17405])).
% 135.65/86.35 tff(17408,plain,
% 135.65/86.35 (~v121(constB91, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16509, 1708, 795, 16160, 17407])).
% 135.65/86.35 tff(17409,plain,
% 135.65/86.35 (~v124(constB91, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16516, 1728, 795, 16199, 17408])).
% 135.65/86.35 tff(17410,plain,
% 135.65/86.35 (~v115(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16523, 1148, 1193, 795, 17409])).
% 135.65/86.35 tff(17411,plain,
% 135.65/86.35 ((~v94(constB92)) | v123(constB92, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17341, 1344, 823, 16113])).
% 135.65/86.35 tff(17412,plain,
% 135.65/86.35 (v123(constB92, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17411, 17405])).
% 135.65/86.35 tff(17413,plain,
% 135.65/86.35 (v121(constB91, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17335, 1362, 823, 16160, 17412])).
% 135.65/86.35 tff(17414,plain,
% 135.65/86.35 (v124(constB91, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17326, 1380, 823, 16199, 17413])).
% 135.65/86.35 tff(17415,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v116(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v116(constB91)))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17416,plain,
% 135.65/86.35 (((~v116(constB91)) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v116(constB91)))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17417,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB91)) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v116(constB91))))),
% 135.65/86.35 inference(monotonicity,[status(thm)],[17416])).
% 135.65/86.35 tff(17418,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB91)) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v116(constB91)))),
% 135.65/86.35 inference(transitivity,[status(thm)],[17417, 17415])).
% 135.65/86.35 tff(17419,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB91)) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b100(bitIndex1))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17420,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v116(constB91))),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17419, 17418])).
% 135.65/86.35 tff(17421,plain,
% 135.65/86.35 (~v116(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17420, 2167, 2164, 823, 17414])).
% 135.65/86.35 tff(17422,plain,
% 135.65/86.35 ((~v94(constB92)) | (~v123(constB92, bitIndex2))),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16531, 1674, 767, 16291])).
% 135.65/86.35 tff(17423,plain,
% 135.65/86.35 (~v123(constB92, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17422, 17405])).
% 135.65/86.35 tff(17424,plain,
% 135.65/86.35 (~v121(constB91, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16537, 1708, 767, 16160, 17423])).
% 135.65/86.35 tff(17425,plain,
% 135.65/86.35 (~v124(constB91, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16546, 1728, 767, 16199, 17424])).
% 135.65/86.35 tff(17426,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB91, bitIndex2) | (~v172(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB91, bitIndex2) | (~v172(constB91)))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17427,plain,
% 135.65/86.35 (((~v172(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB91, bitIndex2) | (~v172(constB91)))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17428,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB91, bitIndex2) | (~v172(constB91))))),
% 135.65/86.35 inference(monotonicity,[status(thm)],[17427])).
% 135.65/86.35 tff(17429,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB91, bitIndex2) | (~v172(constB91)))),
% 135.65/86.35 inference(transitivity,[status(thm)],[17428, 17426])).
% 135.65/86.35 tff(17430,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB91)) | (~less_3(bitIndex2)) | v124(constB91, bitIndex2) | (~b110(bitIndex2)))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17431,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | v124(constB91, bitIndex2) | (~v172(constB91))),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17430, 17429])).
% 135.65/86.35 tff(17432,plain,
% 135.65/86.35 (~v172(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17431, 2066, 1798, 767, 17425])).
% 135.65/86.35 tff(17433,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v113(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v113(constB91)))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17434,plain,
% 135.65/86.35 (((~v113(constB91)) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v113(constB91)))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17435,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB91)) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v113(constB91))))),
% 135.65/86.35 inference(monotonicity,[status(thm)],[17434])).
% 135.65/86.35 tff(17436,plain,
% 135.65/86.35 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB91)) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v113(constB91)))),
% 135.65/86.35 inference(transitivity,[status(thm)],[17435, 17433])).
% 135.65/86.35 tff(17437,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB91)) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | b100(bitIndex1))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17438,plain,
% 135.65/86.35 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB91, bitIndex1)) | (~v113(constB91))),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17437, 17436])).
% 135.65/86.35 tff(17439,plain,
% 135.65/86.35 (~v113(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17438, 2167, 2186, 823, 17414])).
% 135.65/86.35 tff(17440,plain,
% 135.65/86.35 (~v118(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16571, 1148, 1145, 795, 17409])).
% 135.65/86.35 tff(17441,plain,
% 135.65/86.35 (v113(constB91) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17317, 2601, 2424, 823, 16994, 17414])).
% 135.65/86.35 tff(17442,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17441, 17440, 17439, 17432, 17421, 17410])).
% 135.65/86.35 tff(17443,plain,(v84(constB92, bitIndex0) | v145(constB91) | v84(constB92, bitIndex2) | (~v84(constB92, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17444,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17443, 17398, 16356, 16994, 16291])).
% 135.65/86.35 tff(17445,plain,(v84(constB92, bitIndex0) | v145(constB91) | v84(constB92, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17446,plain,
% 135.65/86.35 (v84(constB92, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17445, 17397, 17288])).
% 135.65/86.35 tff(17447,plain,
% 135.65/86.35 (v123(constB92, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16415, 17446, 17274])).
% 135.65/86.35 tff(17448,plain,
% 135.65/86.35 (v121(constB91, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16426, 17447])).
% 135.65/86.35 tff(17449,plain,
% 135.65/86.35 (v124(constB91, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16437, 17448])).
% 135.65/86.35 tff(17450,assumption,(v172(constB91)), introduced(assumption)).
% 135.65/86.35 tff(17451,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16663, 1997, 1994, 795, 17450, 16439])).
% 135.65/86.35 tff(17452,plain,((~v124(constB91, bitIndex0)) | (~v172(constB91))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17453,plain,
% 135.65/86.35 (~v172(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17452, 17449])).
% 135.65/86.35 tff(17454,plain,
% 135.65/86.35 (~v116(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16448, 17449])).
% 135.65/86.35 tff(17455,plain,
% 135.65/86.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB93, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB93, bitIndex2))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17456,plain,
% 135.65/86.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB93, bitIndex2))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17457,plain,
% 135.65/86.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB93, constB94)) | v94(constB94) | (~less_3(bitIndex2)) | (~v84(constB94, bitIndex2)) | v84(constB93, bitIndex2)),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17456, 17455])).
% 135.65/86.35 tff(17458,plain,
% 135.65/86.35 (v94(constB94) | v84(constB93, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17457, 805, 767, 15758, 15743])).
% 135.65/86.35 tff(17459,plain,
% 135.65/86.35 (v94(constB94)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17458, 17396])).
% 135.65/86.35 tff(17460,assumption,(v123(constB94, bitIndex1)), introduced(assumption)).
% 135.65/86.35 tff(17461,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[15813, 1674, 823, 15770, 15769, 17460])).
% 135.65/86.35 tff(17462,plain,(v84(constB94, bitIndex1) | (~v94(constB94)) | (~v123(constB94, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17463,plain,
% 135.65/86.35 (~v123(constB94, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17462, 17459, 15769])).
% 135.65/86.35 tff(17464,assumption,(~v123(constB94, bitIndex1)), introduced(assumption)).
% 135.65/86.35 tff(17465,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[15818, 1708, 823, 15758, 16041, 17464])).
% 135.65/86.35 tff(17466,plain,(v123(constB94, bitIndex1) | (~v121(constB93, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17467,plain,
% 135.65/86.35 (~v121(constB93, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17466, 17463])).
% 135.65/86.35 tff(17468,assumption,(v124(constB93, bitIndex1)), introduced(assumption)).
% 135.65/86.35 tff(17469,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[15825, 1728, 823, 15786, 16094, 17468])).
% 135.65/86.35 tff(17470,plain,(v121(constB93, bitIndex1) | (~v124(constB93, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17471,plain,
% 135.65/86.35 (~v124(constB93, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17470, 16094])).
% 135.65/86.35 tff(17472,plain,
% 135.65/86.35 (~v172(constB93)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[15839, 1801, 1798, 823, 17471])).
% 135.65/86.35 tff(17473,plain,
% 135.65/86.35 (~v118(constB93)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[15846, 3033, 1145, 823, 17471])).
% 135.65/86.35 tff(17474,assumption,(~v118(constB93)), introduced(assumption)).
% 135.65/86.35 tff(17475,plain,
% 135.65/86.35 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93) | (~v84(constB93, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93) | (~v84(constB93, bitIndex0)))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17476,plain,
% 135.65/86.35 (((~v84(constB93, bitIndex0)) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93)) <=> (v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93) | (~v84(constB93, bitIndex0)))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17477,plain,
% 135.65/86.35 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB93, bitIndex0)) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93) | (~v84(constB93, bitIndex0))))),
% 135.65/86.35 inference(monotonicity,[status(thm)],[17476])).
% 135.65/86.35 tff(17478,plain,
% 135.65/86.35 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB93, bitIndex0)) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93) | (~v84(constB93, bitIndex0)))),
% 135.65/86.35 inference(transitivity,[status(thm)],[17477, 17475])).
% 135.65/86.35 tff(17479,plain,
% 135.65/86.35 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB93, bitIndex0)) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17480,plain,
% 135.65/86.35 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v118(constB93) | (~v84(constB93, bitIndex0))),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 135.65/86.35 tff(17481,plain,
% 135.65/86.35 (v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | (~v84(constB93, bitIndex0))),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17480, 1018, 17474])).
% 135.65/86.35 tff(17482,plain,
% 135.65/86.35 (~v84(constB93, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17481, 15754, 16135])).
% 135.65/86.35 tff(17483,assumption,(~v172(constB93)), introduced(assumption)).
% 135.65/86.35 tff(17484,plain,
% 135.65/86.35 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17485,plain,
% 135.65/86.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93))),
% 135.65/86.35 inference(quant_inst,[status(thm)],[])).
% 135.65/86.35 tff(17486,plain,
% 135.65/86.35 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93)),
% 135.65/86.35 inference(modus_ponens,[status(thm)],[17485, 17484])).
% 135.65/86.35 tff(17487,plain,
% 135.65/86.35 (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2))),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17486, 1047, 17483])).
% 135.65/86.35 tff(17488,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17487, 17482, 15754, 16135])).
% 135.65/86.35 tff(17489,plain,(v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)) | v172(constB93) | v118(constB93)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17490,plain,
% 135.65/86.35 (~v84(constB93, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17489, 15754, 17473, 17472])).
% 135.65/86.35 tff(17491,plain,
% 135.65/86.35 (~v124(constB93, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[15825, 1728, 823, 15786, 16094])).
% 135.65/86.35 tff(17492,plain,
% 135.65/86.35 (v145(constB93)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16007, 865, 15754, 16146, 17375])).
% 135.65/86.35 tff(17493,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[15872, 1821, 1818, 823, 17492, 17491])).
% 135.65/86.35 tff(17494,plain,(v121(constB93, bitIndex1) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17495,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17494, 17490, 15754, 16094])).
% 135.65/86.35 tff(17496,plain,(v84(constB93, bitIndex1) | v121(constB93, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17497,plain,
% 135.65/86.35 (v84(constB93, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17496, 17467])).
% 135.65/86.35 tff(17498,plain,
% 135.65/86.35 (v84(constB92, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17392, 17497])).
% 135.65/86.35 tff(17499,plain,
% 135.65/86.35 (v123(constB92, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17343, 17498, 17274])).
% 135.65/86.35 tff(17500,plain,
% 135.65/86.35 (v121(constB91, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17337, 17499])).
% 135.65/86.35 tff(17501,plain,
% 135.65/86.35 (v124(constB91, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17328, 17500])).
% 135.65/86.35 tff(17502,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17319, 17304, 17308, 17501, 17454, 17288, 17453, 16792])).
% 135.65/86.35 tff(17503,plain,((~v119(constB91)) | v84(constB94, bitIndex1) | (~v84(constB94, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17504,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17503, 16783, 15716, 15643])).
% 135.65/86.35 tff(17505,plain,(v94(constB96) | v84(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17506,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17505, 15608, 15200])).
% 135.65/86.35 tff(17507,plain,(v94(constB98) | (~v107(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17508,plain,
% 135.65/86.35 (v94(constB98)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17507, 14877])).
% 135.65/86.35 tff(17509,assumption,(~v102(constB93)), introduced(assumption)).
% 135.65/86.35 tff(17510,plain,
% 135.65/86.35 (~v104(constB94)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17259, 17509])).
% 135.65/86.35 tff(17511,plain,
% 135.65/86.35 (~v94(constB94)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17251, 17510])).
% 135.65/86.35 tff(17512,plain,
% 135.65/86.35 (~v84(constB93, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17246, 17511, 15769])).
% 135.65/86.35 tff(17513,plain,
% 135.65/86.35 (~v84(constB92, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16133, 17512])).
% 135.65/86.35 tff(17514,plain,
% 135.65/86.35 (v84(constB92, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16598, 16254, 16495])).
% 135.65/86.35 tff(17515,plain,
% 135.65/86.35 (v123(constB92, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16415, 17514, 16410])).
% 135.65/86.35 tff(17516,plain,
% 135.65/86.35 (v121(constB91, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16426, 17515])).
% 135.65/86.35 tff(17517,plain,
% 135.65/86.35 (v124(constB91, bitIndex0)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16437, 17516])).
% 135.65/86.35 tff(17518,plain,
% 135.65/86.35 (~v123(constB92, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16458, 16254, 16410])).
% 135.65/86.35 tff(17519,plain,
% 135.65/86.35 (~v121(constB91, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16466, 17518])).
% 135.65/86.35 tff(17520,plain,
% 135.65/86.35 (~v124(constB91, bitIndex1)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16477, 17519])).
% 135.65/86.35 tff(17521,plain,
% 135.65/86.35 (~v115(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16488, 17520])).
% 135.65/86.35 tff(17522,plain,
% 135.65/86.35 (v116(constB91)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16684, 17521, 15717, 16291, 16254])).
% 135.65/86.35 tff(17523,plain,
% 135.65/86.35 ($false),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16448, 17522, 17517])).
% 135.65/86.35 tff(17524,plain,(v84(constB92, bitIndex1) | v119(constB91) | v84(constB92, bitIndex2) | (~v94(constB92))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.35 tff(17525,plain,
% 135.65/86.35 (v84(constB92, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17524, 17513, 15717, 17274])).
% 135.65/86.35 tff(17526,plain,
% 135.65/86.35 (v84(constB93, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16152, 17525])).
% 135.65/86.35 tff(17527,plain,
% 135.65/86.35 (v94(constB92) | v84(constB91, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[16818, 805, 767, 16160, 16147])).
% 135.65/86.35 tff(17528,plain,
% 135.65/86.35 (v84(constB91, bitIndex2)),
% 135.65/86.35 inference(unit_resolution,[status(thm)],[17527, 16154])).
% 135.65/86.35 tff(17529,plain,
% 135.65/86.35 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v118(constB91))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v118(constB91))),
% 135.65/86.35 inference(rewrite,[status(thm)],[])).
% 135.65/86.35 tff(17530,plain,
% 135.65/86.35 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v118(constB91))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17531,plain,
% 135.65/86.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB91, bitIndex0)) | v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v118(constB91)),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17530, 17529])).
% 135.65/86.36 tff(17532,plain,
% 135.65/86.36 (v118(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17531, 1018, 16602, 16355, 17528])).
% 135.65/86.36 tff(17533,plain,
% 135.65/86.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB91) | (~v118(constB91)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB91) | (~v118(constB91)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17534,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB91) | (~v118(constB91)))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17535,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB91) | (~v118(constB91))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17534, 17533])).
% 135.65/86.36 tff(17536,plain,
% 135.65/86.36 (v108(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17535, 1004, 17532])).
% 135.65/86.36 tff(17537,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16207, 658, 16204, 17536])).
% 135.65/86.36 tff(17538,plain,(v94(constB92) | (~v84(constB92, bitIndex0)) | (~v84(constB92, bitIndex2)) | v84(constB92, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17539,plain,
% 135.65/86.36 (v94(constB92)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17538, 16409, 16147, 16254])).
% 135.65/86.36 tff(17540,plain,
% 135.65/86.36 ((~v94(constB92)) | v123(constB92, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17382, 1344, 767, 16147])).
% 135.65/86.36 tff(17541,plain,
% 135.65/86.36 (v123(constB92, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17540, 17539])).
% 135.65/86.36 tff(17542,plain,
% 135.65/86.36 (v121(constB91, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17368, 1362, 767, 16160, 17541])).
% 135.65/86.36 tff(17543,plain,
% 135.65/86.36 (v124(constB91, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17360, 1380, 767, 16199, 17542])).
% 135.65/86.36 tff(17544,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v115(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v115(constB91)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17545,plain,
% 135.65/86.36 (((~v115(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v115(constB91)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17546,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v115(constB91))))),
% 135.65/86.36 inference(monotonicity,[status(thm)],[17545])).
% 135.65/86.36 tff(17547,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v115(constB91)))),
% 135.65/86.36 inference(transitivity,[status(thm)],[17546, 17544])).
% 135.65/86.36 tff(17548,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b011(bitIndex2))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17549,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v115(constB91))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 135.65/86.36 tff(17550,plain,
% 135.65/86.36 (~v115(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17549, 2030, 2257, 767, 17543])).
% 135.65/86.36 tff(17551,plain,
% 135.65/86.36 ((~v94(constB92)) | v123(constB92, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16413, 1344, 795, 16409])).
% 135.65/86.36 tff(17552,plain,
% 135.65/86.36 (v123(constB92, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17551, 17539])).
% 135.65/86.36 tff(17553,plain,
% 135.65/86.36 (v121(constB91, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16424, 1362, 795, 16160, 17552])).
% 135.65/86.36 tff(17554,plain,
% 135.65/86.36 (v124(constB91, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16435, 1380, 795, 16199, 17553])).
% 135.65/86.36 tff(17555,plain,
% 135.65/86.36 (~v116(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16446, 2386, 2164, 795, 17554])).
% 135.65/86.36 tff(17556,plain,
% 135.65/86.36 (~v172(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16663, 1997, 1994, 795, 17554])).
% 135.65/86.36 tff(17557,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v118(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v118(constB91)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17558,plain,
% 135.65/86.36 (((~v118(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v118(constB91)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17559,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v118(constB91))))),
% 135.65/86.36 inference(monotonicity,[status(thm)],[17558])).
% 135.65/86.36 tff(17560,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v118(constB91)))),
% 135.65/86.36 inference(transitivity,[status(thm)],[17559, 17557])).
% 135.65/86.36 tff(17561,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b011(bitIndex2))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17562,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | (~v118(constB91))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17561, 17560])).
% 135.65/86.36 tff(17563,plain,
% 135.65/86.36 (~v118(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17562, 2030, 2027, 767, 17543])).
% 135.65/86.36 tff(17564,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB91)) | (~v124(constB91, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB91)) | (~v124(constB91, bitIndex2)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17565,plain,
% 135.65/86.36 (((~v145(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB91)) | (~v124(constB91, bitIndex2)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17566,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB91)) | (~v124(constB91, bitIndex2))))),
% 135.65/86.36 inference(monotonicity,[status(thm)],[17565])).
% 135.65/86.36 tff(17567,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB91)) | (~v124(constB91, bitIndex2)))),
% 135.65/86.36 inference(transitivity,[status(thm)],[17566, 17564])).
% 135.65/86.36 tff(17568,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB91)) | (~less_3(bitIndex2)) | (~v124(constB91, bitIndex2)) | b010(bitIndex2))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17569,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB91)) | (~v124(constB91, bitIndex2))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17568, 17567])).
% 135.65/86.36 tff(17570,plain,
% 135.65/86.36 (~v145(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17569, 1419, 1416, 767, 17543])).
% 135.65/86.36 tff(17571,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v113(constB91)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v113(constB91)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17572,plain,
% 135.65/86.36 (((~v113(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v113(constB91)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17573,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v113(constB91))))),
% 135.65/86.36 inference(monotonicity,[status(thm)],[17572])).
% 135.65/86.36 tff(17574,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v113(constB91)))),
% 135.65/86.36 inference(transitivity,[status(thm)],[17573, 17571])).
% 135.65/86.36 tff(17575,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB91)) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | b100(bitIndex0))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17576,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB91, bitIndex0)) | (~v113(constB91))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17575, 17574])).
% 135.65/86.36 tff(17577,plain,
% 135.65/86.36 (~v113(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17576, 2386, 2186, 795, 17554])).
% 135.65/86.36 tff(17578,plain,
% 135.65/86.36 (v145(constB91) | v113(constB91) | v118(constB91) | v172(constB91) | v116(constB91) | v115(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17351, 2427, 2424, 767, 17543])).
% 135.65/86.36 tff(17579,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17578, 17577, 17570, 17563, 17556, 17555, 17550])).
% 135.65/86.36 tff(17580,plain,((~v84(constB92, bitIndex0)) | (~v84(constB92, bitIndex2)) | v84(constB92, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17581,plain,
% 135.65/86.36 (~v84(constB92, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17580, 17513, 17525])).
% 135.65/86.36 tff(17582,plain,
% 135.65/86.36 (~v84(constB93, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16406, 17581])).
% 135.65/86.36 tff(17583,assumption,(~v107(constB93)), introduced(assumption)).
% 135.65/86.36 tff(17584,plain,
% 135.65/86.36 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB93) | (~v119(constB93)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB93) | (~v119(constB93)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17585,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB93) | (~v119(constB93)))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17586,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB93) | (~v119(constB93))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17585, 17584])).
% 135.65/86.36 tff(17587,plain,
% 135.65/86.36 (~v119(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17586, 1927, 17583])).
% 135.65/86.36 tff(17588,plain,
% 135.65/86.36 (~v108(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15932, 658, 17583])).
% 135.65/86.36 tff(17589,assumption,(~v108(constB93)), introduced(assumption)).
% 135.65/86.36 tff(17590,plain,
% 135.65/86.36 (~v109(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15936, 669, 17589])).
% 135.65/86.36 tff(17591,plain,
% 135.65/86.36 (~v110(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15963, 680, 17590])).
% 135.65/86.36 tff(17592,plain,
% 135.65/86.36 (~v111(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15959, 691, 17591])).
% 135.65/86.36 tff(17593,plain,
% 135.65/86.36 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB93)) | (~v84(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB93)) | (~v84(constB93, bitIndex2)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17594,plain,
% 135.65/86.36 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB93)) | (~v84(constB93, bitIndex2)))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17595,plain,
% 135.65/86.36 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB93)) | (~v84(constB93, bitIndex2))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17594, 17593])).
% 135.65/86.36 tff(17596,plain,
% 135.65/86.36 (~v113(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17595, 1119, 17378])).
% 135.65/86.36 tff(17597,plain,
% 135.65/86.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB93) | (~v118(constB93)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB93) | (~v118(constB93)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17598,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB93) | (~v118(constB93)))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17599,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB93) | (~v118(constB93))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17598, 17597])).
% 135.65/86.36 tff(17600,plain,
% 135.65/86.36 (~v118(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17599, 1004, 17589])).
% 135.65/86.36 tff(17601,plain,
% 135.65/86.36 (~v84(constB93, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17489, 15754, 17474, 17483])).
% 135.65/86.36 tff(17602,plain,
% 135.65/86.36 (v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0))),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16007, 865, 16029])).
% 135.65/86.36 tff(17603,plain,
% 135.65/86.36 (~v84(constB93, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17602, 17601, 15754])).
% 135.65/86.36 tff(17604,assumption,(~v113(constB93)), introduced(assumption)).
% 135.65/86.36 tff(17605,plain,
% 135.65/86.36 (v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | v84(constB93, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15947, 983, 17604])).
% 135.65/86.36 tff(17606,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17605, 17603, 17601, 15754])).
% 135.65/86.36 tff(17607,plain,(v84(constB93, bitIndex1) | v113(constB93) | v145(constB93) | v118(constB93) | v172(constB93)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17608,plain,
% 135.65/86.36 (v172(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17607, 17600, 16029, 15754, 17596])).
% 135.65/86.36 tff(17609,plain,
% 135.65/86.36 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17610,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB93) | (~v172(constB93)))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17611,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB93) | (~v172(constB93))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17610, 17609])).
% 135.65/86.36 tff(17612,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17611, 1033, 17608, 17590])).
% 135.65/86.36 tff(17613,plain,(v108(constB93) | v145(constB93) | v84(constB93, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17614,plain,
% 135.65/86.36 (v145(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17613, 17589, 15754])).
% 135.65/86.36 tff(17615,plain,
% 135.65/86.36 (v112(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16000, 713, 17614])).
% 135.65/86.36 tff(17616,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15955, 702, 17615, 17592])).
% 135.65/86.36 tff(17617,plain,(v108(constB93) | v84(constB93, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17618,plain,
% 135.65/86.36 (v84(constB93, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17617, 17588])).
% 135.65/86.36 tff(17619,plain,
% 135.65/86.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB93) | v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB93) | v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17620,plain,
% 135.65/86.36 ((v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2)) | v119(constB93)) <=> (v119(constB93) | v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17621,plain,
% 135.65/86.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2)) | v119(constB93))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB93) | v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2))))),
% 135.65/86.36 inference(monotonicity,[status(thm)],[17620])).
% 135.65/86.36 tff(17622,plain,
% 135.65/86.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2)) | v119(constB93))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB93) | v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2)))),
% 135.65/86.36 inference(transitivity,[status(thm)],[17621, 17619])).
% 135.65/86.36 tff(17623,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2)) | v119(constB93))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17624,plain,
% 135.65/86.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB93) | v84(constB93, bitIndex0) | (~v84(constB93, bitIndex1)) | (~v84(constB93, bitIndex2))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17623, 17622])).
% 135.65/86.36 tff(17625,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17624, 1910, 17618, 16135, 17179, 17587])).
% 135.65/86.36 tff(17626,plain,(v107(constB93) | (~v84(constB93, bitIndex2)) | v84(constB93, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17627,plain,
% 135.65/86.36 (v107(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17626, 17582, 17526])).
% 135.65/86.36 tff(17628,plain,
% 135.65/86.36 (v106(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15928, 17627])).
% 135.65/86.36 tff(17629,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15920, 619, 17509, 17628])).
% 135.65/86.36 tff(17630,plain,(v102(constB93) | v119(constB91) | v84(constB94, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17631,plain,
% 135.65/86.36 (v119(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17630, 17509, 15769])).
% 135.65/86.36 tff(17632,plain,
% 135.65/86.36 (~v84(constB94, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17503, 17631, 15769])).
% 135.65/86.36 tff(17633,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16027, 17632, 17511])).
% 135.65/86.36 tff(17634,plain,(v102(constB93) | v84(constB94, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17635,plain,
% 135.65/86.36 (v84(constB94, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17634, 17509])).
% 135.65/86.36 tff(17636,plain,
% 135.65/86.36 (v84(constB94, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16027, 17511])).
% 135.65/86.36 tff(17637,plain,
% 135.65/86.36 (~v84(constB93, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15762, 17511])).
% 135.65/86.36 tff(17638,plain,
% 135.65/86.36 (v84(constB93, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17458, 17511])).
% 135.65/86.36 tff(17639,plain,
% 135.65/86.36 (v94(constB94) | v84(constB93, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15969, 805, 823, 15758, 15619])).
% 135.65/86.36 tff(17640,plain,
% 135.65/86.36 (v84(constB93, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17639, 17511])).
% 135.65/86.36 tff(17641,plain,
% 135.65/86.36 (v119(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17624, 1910, 17640, 17638, 17637])).
% 135.65/86.36 tff(17642,plain,
% 135.65/86.36 (~v106(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15920, 619, 17509])).
% 135.65/86.36 tff(17643,plain,
% 135.65/86.36 (~v107(constB93)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15928, 17642])).
% 135.65/86.36 tff(17644,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17586, 1927, 17643, 17641])).
% 135.65/86.36 tff(17645,plain,(v102(constB93) | (~v84(constB94, bitIndex1)) | v84(constB94, bitIndex0) | (~v84(constB94, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17646,plain,
% 135.65/86.36 (v84(constB94, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17645, 17636, 17635, 17509])).
% 135.65/86.36 tff(17647,plain,
% 135.65/86.36 (v84(constB95, bitIndex0)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16697, 17646])).
% 135.65/86.36 tff(17648,plain,
% 135.65/86.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB95, bitIndex0)) | (~v115(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB95, bitIndex0)) | (~v115(constB95)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17649,plain,
% 135.65/86.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB95, bitIndex0)) | (~v115(constB95)))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17650,plain,
% 135.65/86.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB95, bitIndex0)) | (~v115(constB95))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17649, 17648])).
% 135.65/86.36 tff(17651,plain,
% 135.65/86.36 (~v115(constB95)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17650, 3011, 17647])).
% 135.65/86.36 tff(17652,plain,
% 135.65/86.36 (v84(constB95, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15751, 17636])).
% 135.65/86.36 tff(17653,plain,
% 135.65/86.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v145(constB95)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17654,plain,
% 135.65/86.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v145(constB95)))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17655,plain,
% 135.65/86.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v145(constB95))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17654, 17653])).
% 135.65/86.36 tff(17656,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17655, 725, 16740, 15706])).
% 135.65/86.36 tff(17657,plain,((~v145(constB95)) | (~v84(constB95, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17658,plain,
% 135.65/86.36 (~v145(constB95)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17657, 17652])).
% 135.65/86.36 tff(17659,plain,
% 135.65/86.36 (v84(constB94, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16027, 15753])).
% 135.65/86.36 tff(17660,plain,
% 135.65/86.36 (v84(constB95, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15751, 17659])).
% 135.65/86.36 tff(17661,plain,
% 135.65/86.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB95, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB95, bitIndex1)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17662,plain,
% 135.65/86.36 (((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB94, bitIndex1)) <=> ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB95, bitIndex1)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17663,plain,
% 135.65/86.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB94, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB95, bitIndex1))))),
% 135.65/86.36 inference(monotonicity,[status(thm)],[17662])).
% 135.65/86.36 tff(17664,plain,
% 135.65/86.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB94, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB95, bitIndex1)))),
% 135.65/86.36 inference(transitivity,[status(thm)],[17663, 17661])).
% 135.65/86.36 tff(17665,plain,
% 135.65/86.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | (~v84(constB95, bitIndex1)) | v84(constB94, bitIndex1))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17666,plain,
% 135.65/86.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex1)) | v84(constB94, bitIndex1) | (~v84(constB95, bitIndex1))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17665, 17664])).
% 135.65/86.36 tff(17667,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17666, 805, 823, 15622, 15634, 15769, 15609])).
% 135.65/86.36 tff(17668,plain,((~v84(constB95, bitIndex1)) | v84(constB94, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17669,plain,
% 135.65/86.36 (~v84(constB95, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17668, 15769])).
% 135.65/86.36 tff(17670,plain,
% 135.65/86.36 (v119(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16782, 15214, 17669])).
% 135.65/86.36 tff(17671,plain,
% 135.65/86.36 (~v84(constB94, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17503, 17670, 15769])).
% 135.65/86.36 tff(17672,plain,
% 135.65/86.36 (~v84(constB95, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15715, 17671])).
% 135.65/86.36 tff(17673,plain,
% 135.65/86.36 (v172(constB97)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16754, 17672, 17669, 15214])).
% 135.65/86.36 tff(17674,plain,
% 135.65/86.36 (v94(constB96)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17505, 15214])).
% 135.65/86.36 tff(17675,plain,
% 135.65/86.36 (~v123(constB96, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[15222, 15214, 17674])).
% 135.65/86.36 tff(17676,plain,
% 135.65/86.36 (~v121(constB95, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16767, 17675])).
% 135.65/86.36 tff(17677,plain,
% 135.65/86.36 (~v124(constB95, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16763, 17676])).
% 135.65/86.36 tff(17678,plain,
% 135.65/86.36 (v119(constB91)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16699, 15300, 15718])).
% 135.65/86.36 tff(17679,assumption,(v124(constB95, bitIndex2)), introduced(assumption)).
% 135.65/86.36 tff(17680,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB95)) | (~v124(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB95)) | (~v124(constB95, bitIndex2)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17681,plain,
% 135.65/86.36 (((~v145(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB95)) | (~v124(constB95, bitIndex2)))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17682,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB95)) | (~v124(constB95, bitIndex2))))),
% 135.65/86.36 inference(monotonicity,[status(thm)],[17681])).
% 135.65/86.36 tff(17683,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB95)) | (~v124(constB95, bitIndex2)))),
% 135.65/86.36 inference(transitivity,[status(thm)],[17682, 17680])).
% 135.65/86.36 tff(17684,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b010(bitIndex2))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17685,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB95)) | (~v124(constB95, bitIndex2))),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17684, 17683])).
% 135.65/86.36 tff(17686,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17685, 1419, 1416, 767, 16740, 17679])).
% 135.65/86.36 tff(17687,plain,((~v124(constB95, bitIndex2)) | (~v145(constB95))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17688,plain,
% 135.65/86.36 (~v124(constB95, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17687, 16738])).
% 135.65/86.36 tff(17689,assumption,(v121(constB95, bitIndex2)), introduced(assumption)).
% 135.65/86.36 tff(17690,assumption,(~v124(constB95, bitIndex2)), introduced(assumption)).
% 135.65/86.36 tff(17691,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex2)) | (~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex2)) | (~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17692,plain,
% 135.65/86.36 ((v26(constB95) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2))) <=> (v26(constB95) | (~less_3(bitIndex2)) | (~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17693,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex2)) | (~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2)))),
% 135.65/86.36 inference(monotonicity,[status(thm)],[17692])).
% 135.65/86.36 tff(17694,plain,
% 135.65/86.36 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex2)) | (~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2))),
% 135.65/86.36 inference(transitivity,[status(thm)],[17693, 17691])).
% 135.65/86.36 tff(17695,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~v121(constB95, bitIndex2)))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17696,plain,
% 135.65/86.36 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex2)) | (~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2)),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17695, 17694])).
% 135.65/86.36 tff(17697,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17696, 1380, 767, 15453, 17690, 17689])).
% 135.65/86.36 tff(17698,plain,((~v121(constB95, bitIndex2)) | v124(constB95, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17699,plain,
% 135.65/86.36 (~v121(constB95, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17698, 17688])).
% 135.65/86.36 tff(17700,assumption,(v123(constB96, bitIndex2)), introduced(assumption)).
% 135.65/86.36 tff(17701,assumption,(~v121(constB95, bitIndex2)), introduced(assumption)).
% 135.65/86.36 tff(17702,plain,
% 135.65/86.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v121(constB95, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v121(constB95, bitIndex2))),
% 135.65/86.36 inference(rewrite,[status(thm)],[])).
% 135.65/86.36 tff(17703,plain,
% 135.65/86.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v121(constB95, bitIndex2))),
% 135.65/86.36 inference(quant_inst,[status(thm)],[])).
% 135.65/86.36 tff(17704,plain,
% 135.65/86.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex2)) | (~v123(constB96, bitIndex2)) | v121(constB95, bitIndex2)),
% 135.65/86.36 inference(modus_ponens,[status(thm)],[17703, 17702])).
% 135.65/86.36 tff(17705,plain,
% 135.65/86.36 ($false),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17704, 1362, 767, 15303, 17701, 17700])).
% 135.65/86.36 tff(17706,plain,((~v123(constB96, bitIndex2)) | v121(constB95, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.36 tff(17707,plain,
% 135.65/86.36 (~v123(constB96, bitIndex2)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17706, 17699])).
% 135.65/86.36 tff(17708,plain,
% 135.65/86.36 (v94(constB94)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[16027, 16735])).
% 135.65/86.36 tff(17709,plain,
% 135.65/86.36 (~v123(constB94, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17462, 17708, 16734])).
% 135.65/86.36 tff(17710,plain,
% 135.65/86.36 (~v121(constB93, bitIndex1)),
% 135.65/86.36 inference(unit_resolution,[status(thm)],[17466, 17709])).
% 135.65/86.36 tff(17711,plain,
% 135.65/86.37 ($false),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17569, 1419, 1416, 767, 17279, 17345])).
% 135.65/86.37 tff(17712,plain,((~v124(constB91, bitIndex2)) | (~v145(constB91))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.37 tff(17713,plain,
% 135.65/86.37 (~v124(constB91, bitIndex2)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17712, 17279])).
% 135.65/86.37 tff(17714,plain,
% 135.65/86.37 (~v121(constB91, bitIndex2)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17362, 17713])).
% 135.65/86.37 tff(17715,plain,
% 135.65/86.37 (~v123(constB92, bitIndex2)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17370, 17714])).
% 135.65/86.37 tff(17716,plain,
% 135.65/86.37 (v112(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16382, 713, 17279])).
% 135.65/86.37 tff(17717,plain,
% 135.65/86.37 (v111(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16223, 702, 17716])).
% 135.65/86.37 tff(17718,plain,
% 135.65/86.37 (v110(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16219, 691, 17717])).
% 135.65/86.37 tff(17719,plain,
% 135.65/86.37 (v109(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16215, 680, 17718])).
% 135.65/86.37 tff(17720,plain,
% 135.65/86.37 (v108(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16811, 17719])).
% 135.65/86.37 tff(17721,plain,
% 135.65/86.37 (v107(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16207, 658, 17720])).
% 135.65/86.37 tff(17722,plain,
% 135.65/86.37 (v106(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16203, 17721])).
% 135.65/86.37 tff(17723,plain,
% 135.65/86.37 (v102(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16194, 619, 17722])).
% 135.65/86.37 tff(17724,plain,
% 135.65/86.37 (v104(constB92)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16190, 17723])).
% 135.65/86.37 tff(17725,plain,
% 135.65/86.37 (v94(constB92)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16182, 17724])).
% 135.65/86.37 tff(17726,plain,
% 135.65/86.37 (~v84(constB92, bitIndex2)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17384, 17725, 17715])).
% 135.65/86.37 tff(17727,plain,
% 135.65/86.37 (~v84(constB93, bitIndex2)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16494, 17726])).
% 135.65/86.37 tff(17728,assumption,(~v124(constB93, bitIndex1)), introduced(assumption)).
% 135.65/86.37 tff(17729,assumption,(v115(constB93)), introduced(assumption)).
% 135.65/86.37 tff(17730,plain,
% 135.65/86.37 ($false),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[15832, 3033, 1193, 823, 17729, 17728])).
% 135.65/86.37 tff(17731,plain,(v124(constB93, bitIndex1) | (~v115(constB93))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.37 tff(17732,plain,
% 135.65/86.37 (~v115(constB93)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17731, 17471])).
% 135.65/86.37 tff(17733,plain,
% 135.65/86.37 ($false),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16622, 2299, 1416, 795, 17279, 16439])).
% 135.65/86.37 tff(17734,plain,((~v124(constB91, bitIndex0)) | (~v145(constB91))), inference(lemma,lemma(discharge,[]))).
% 135.65/86.37 tff(17735,plain,
% 135.65/86.37 (~v124(constB91, bitIndex0)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17734, 17279])).
% 135.65/86.37 tff(17736,plain,
% 135.65/86.37 (~v121(constB91, bitIndex0)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16437, 17735])).
% 135.65/86.37 tff(17737,plain,
% 135.65/86.37 (~v123(constB92, bitIndex0)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16426, 17736])).
% 135.65/86.37 tff(17738,plain,
% 135.65/86.37 (~v84(constB92, bitIndex0)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16415, 17725, 17737])).
% 135.65/86.37 tff(17739,plain,
% 135.65/86.37 (~v84(constB93, bitIndex0)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[16406, 17738])).
% 135.65/86.37 tff(17740,plain,
% 135.65/86.37 ($false),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[15974, 1095, 17183, 16146, 17179, 17196])).
% 135.65/86.37 tff(17741,plain,(v115(constB93) | (~v84(constB93, bitIndex1)) | v84(constB93, bitIndex2) | v84(constB93, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.37 tff(17742,plain,
% 135.65/86.37 (~v84(constB93, bitIndex1)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17741, 17739, 17732, 17727])).
% 135.65/86.37 tff(17743,plain,
% 135.65/86.37 ($false),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17494, 17742, 17727, 16094])).
% 135.65/86.37 tff(17744,plain,((~v145(constB91)) | v121(constB93, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.65/86.37 tff(17745,plain,
% 135.65/86.37 (~v145(constB91)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17744, 17710])).
% 135.65/86.37 tff(17746,plain,
% 135.65/86.37 (v94(constB92)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17273, 16734])).
% 135.65/86.37 tff(17747,plain,
% 135.65/86.37 (~v124(constB93, bitIndex1)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[17470, 17710])).
% 135.65/86.37 tff(17748,plain,
% 135.65/86.37 (~v145(constB93)),
% 135.65/86.37 inference(unit_resolution,[status(thm)],[15872, 1821, 1818, 823, 17747])).
% 135.73/86.37 tff(17749,plain,
% 135.73/86.37 (~v119(constB91)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17394, 17748, 17746, 17745])).
% 135.73/86.37 tff(17750,plain,
% 135.73/86.37 (v124(constB95, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16699, 17749, 15300])).
% 135.73/86.37 tff(17751,plain,
% 135.73/86.37 (v121(constB95, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16763, 17750])).
% 135.73/86.37 tff(17752,plain,
% 135.73/86.37 (v123(constB96, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16767, 17751])).
% 135.73/86.37 tff(17753,plain,
% 135.73/86.37 (v84(constB96, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15222, 17752, 16719])).
% 135.73/86.37 tff(17754,plain,
% 135.73/86.37 (v84(constB97, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15199, 17753])).
% 135.73/86.37 tff(17755,assumption,(v121(constB95, bitIndex0)), introduced(assumption)).
% 135.73/86.37 tff(17756,assumption,(~v124(constB95, bitIndex0)), introduced(assumption)).
% 135.73/86.37 tff(17757,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16752, 1380, 795, 15453, 17756, 17755])).
% 135.73/86.37 tff(17758,plain,((~v121(constB95, bitIndex0)) | v124(constB95, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17759,plain,
% 135.73/86.37 (~v121(constB95, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17758, 16749])).
% 135.73/86.37 tff(17760,plain,
% 135.73/86.37 (~v123(constB96, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16732, 17759])).
% 135.73/86.37 tff(17761,assumption,(~v123(constB96, bitIndex0)), introduced(assumption)).
% 135.73/86.37 tff(17762,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16724, 1344, 795, 15211, 15547, 17761])).
% 135.73/86.37 tff(17763,plain,((~v84(constB96, bitIndex0)) | (~v94(constB96)) | v123(constB96, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17764,plain,
% 135.73/86.37 (~v84(constB96, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17763, 16719, 17760])).
% 135.73/86.37 tff(17765,plain,
% 135.73/86.37 (~v84(constB97, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15292, 17764])).
% 135.73/86.37 tff(17766,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[14933, 1095, 14923, 14929, 14930, 14842])).
% 135.73/86.37 tff(17767,plain,(v84(constB97, bitIndex2) | v84(constB97, bitIndex0) | v115(constB97) | (~v84(constB97, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17768,plain,
% 135.73/86.37 (v84(constB97, bitIndex2)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17767, 17765, 14930, 17754])).
% 135.73/86.37 tff(17769,plain,
% 135.73/86.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB96, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB96, bitIndex2))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17770,plain,
% 135.73/86.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB96, bitIndex2))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17771,plain,
% 135.73/86.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB96, constB97)) | v94(constB97) | (~less_3(bitIndex2)) | (~v84(constB97, bitIndex2)) | v84(constB96, bitIndex2)),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17770, 17769])).
% 135.73/86.37 tff(17772,plain,
% 135.73/86.37 (v84(constB96, bitIndex2)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17771, 805, 767, 15182, 15194, 17768])).
% 135.73/86.37 tff(17773,plain,
% 135.73/86.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB96)) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB96)) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17774,plain,
% 135.73/86.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB96)) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17775,plain,
% 135.73/86.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB96)) | (~v84(constB96, bitIndex2)) | v123(constB96, bitIndex2)),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17774, 17773])).
% 135.73/86.37 tff(17776,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17775, 1344, 767, 16719, 17772, 17707])).
% 135.73/86.37 tff(17777,plain,(v84(constB95, bitIndex2) | v115(constB97) | v84(constB95, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17778,plain,
% 135.73/86.37 (v84(constB95, bitIndex2)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17777, 15300, 14930])).
% 135.73/86.37 tff(17779,plain,
% 135.73/86.37 (v84(constB94, bitIndex2)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15715, 17778])).
% 135.73/86.37 tff(17780,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17503, 17779, 17678, 16734])).
% 135.73/86.37 tff(17781,plain,(v84(constB95, bitIndex1) | v124(constB95, bitIndex1) | v115(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17782,plain,
% 135.73/86.37 (v115(constB97)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17781, 17677, 17669])).
% 135.73/86.37 tff(17783,assumption,(~v124(constB97, bitIndex0)), introduced(assumption)).
% 135.73/86.37 tff(17784,plain,
% 135.73/86.37 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB97)) | v124(constB97, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB97)) | v124(constB97, bitIndex0))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17785,plain,
% 135.73/86.37 (((~v115(constB97)) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB97)) | v124(constB97, bitIndex0))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17786,plain,
% 135.73/86.37 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB97)) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB97)) | v124(constB97, bitIndex0)))),
% 135.73/86.37 inference(monotonicity,[status(thm)],[17785])).
% 135.73/86.37 tff(17787,plain,
% 135.73/86.37 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB97)) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB97)) | v124(constB97, bitIndex0))),
% 135.73/86.37 inference(transitivity,[status(thm)],[17786, 17784])).
% 135.73/86.37 tff(17788,plain,
% 135.73/86.37 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB97)) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~b011(bitIndex0)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17789,plain,
% 135.73/86.37 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB97)) | v124(constB97, bitIndex0)),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17788, 17787])).
% 135.73/86.37 tff(17790,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17789, 1148, 1193, 795, 15562, 17783])).
% 135.73/86.37 tff(17791,plain,(v124(constB97, bitIndex0) | (~v115(constB97))), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17792,plain,
% 135.73/86.37 (v124(constB97, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17791, 17782])).
% 135.73/86.37 tff(17793,assumption,(v124(constB97, bitIndex0)), introduced(assumption)).
% 135.73/86.37 tff(17794,plain,
% 135.73/86.37 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB97)) | (~v124(constB97, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB97)) | (~v124(constB97, bitIndex0)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17795,plain,
% 135.73/86.37 (((~v172(constB97)) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB97)) | (~v124(constB97, bitIndex0)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17796,plain,
% 135.73/86.37 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB97)) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB97)) | (~v124(constB97, bitIndex0))))),
% 135.73/86.37 inference(monotonicity,[status(thm)],[17795])).
% 135.73/86.37 tff(17797,plain,
% 135.73/86.37 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB97)) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB97)) | (~v124(constB97, bitIndex0)))),
% 135.73/86.37 inference(transitivity,[status(thm)],[17796, 17794])).
% 135.73/86.37 tff(17798,plain,
% 135.73/86.37 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB97)) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)) | b110(bitIndex0))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17799,plain,
% 135.73/86.37 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB97)) | (~v124(constB97, bitIndex0))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17798, 17797])).
% 135.73/86.37 tff(17800,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17799, 1997, 1994, 795, 15276, 17793])).
% 135.73/86.37 tff(17801,plain,((~v124(constB97, bitIndex0)) | (~v172(constB97))), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17802,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17801, 17792, 17673])).
% 135.73/86.37 tff(17803,plain,(v84(constB96, bitIndex1) | v84(constB94, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17804,plain,
% 135.73/86.37 (v84(constB94, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17803, 15214])).
% 135.73/86.37 tff(17805,plain,
% 135.73/86.37 (v84(constB95, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15642, 17804])).
% 135.73/86.37 tff(17806,assumption,(v113(constB95)), introduced(assumption)).
% 135.73/86.37 tff(17807,plain,
% 135.73/86.37 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB95)) | (~v84(constB95, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB95)) | (~v84(constB95, bitIndex1)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17808,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB95)) | (~v84(constB95, bitIndex1)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17809,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB95)) | (~v84(constB95, bitIndex1))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17808, 17807])).
% 135.73/86.37 tff(17810,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17809, 1465, 15609, 17806])).
% 135.73/86.37 tff(17811,plain,((~v113(constB95)) | (~v84(constB95, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17812,plain,
% 135.73/86.37 (~v113(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17811, 17805])).
% 135.73/86.37 tff(17813,assumption,(v115(constB95)), introduced(assumption)).
% 135.73/86.37 tff(17814,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15491, 3033, 1193, 823, 17813, 15718])).
% 135.73/86.37 tff(17815,plain,((~v115(constB95)) | v124(constB95, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17816,plain,
% 135.73/86.37 (~v115(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17815, 17677])).
% 135.73/86.37 tff(17817,plain,
% 135.73/86.37 (~v172(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15722, 17677])).
% 135.73/86.37 tff(17818,plain,
% 135.73/86.37 (~v145(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17657, 17660])).
% 135.73/86.37 tff(17819,assumption,(v118(constB95)), introduced(assumption)).
% 135.73/86.37 tff(17820,plain,
% 135.73/86.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v118(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v118(constB95)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17821,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v118(constB95)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17822,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v118(constB95))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17821, 17820])).
% 135.73/86.37 tff(17823,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17822, 2842, 15609, 17819])).
% 135.73/86.37 tff(17824,plain,((~v84(constB95, bitIndex1)) | (~v118(constB95))), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17825,plain,
% 135.73/86.37 (~v118(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17824, 17805])).
% 135.73/86.37 tff(17826,plain,
% 135.73/86.37 (v84(constB94, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17645, 17636, 15619, 17509])).
% 135.73/86.37 tff(17827,plain,
% 135.73/86.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB94, bitIndex0)) | (~v115(constB94)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB94, bitIndex0)) | (~v115(constB94)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17828,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB94, bitIndex0)) | (~v115(constB94)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17829,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB94, bitIndex0)) | (~v115(constB94))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17828, 17827])).
% 135.73/86.37 tff(17830,plain,
% 135.73/86.37 (~v115(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17829, 3011, 17826])).
% 135.73/86.37 tff(17831,plain,
% 135.73/86.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB94, bitIndex1)) | (~v145(constB94)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB94, bitIndex1)) | (~v145(constB94)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17832,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB94, bitIndex1)) | (~v145(constB94)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17833,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB94, bitIndex1)) | (~v145(constB94))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17832, 17831])).
% 135.73/86.37 tff(17834,plain,
% 135.73/86.37 (~v145(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17833, 816, 15619])).
% 135.73/86.37 tff(17835,plain,
% 135.73/86.37 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB94)) | (~v84(constB94, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB94)) | (~v84(constB94, bitIndex1)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17836,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB94)) | (~v84(constB94, bitIndex1)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17837,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB94)) | (~v84(constB94, bitIndex1))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17836, 17835])).
% 135.73/86.37 tff(17838,plain,
% 135.73/86.37 (~v113(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17837, 1465, 15619])).
% 135.73/86.37 tff(17839,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB94)) | v145(constB94) | v113(constB94))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB94)) | v145(constB94) | v113(constB94))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17840,plain,
% 135.73/86.37 ((v113(constB94) | (~v112(constB94)) | v145(constB94)) <=> ((~v112(constB94)) | v145(constB94) | v113(constB94))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17841,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB94) | (~v112(constB94)) | v145(constB94))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB94)) | v145(constB94) | v113(constB94)))),
% 135.73/86.37 inference(monotonicity,[status(thm)],[17840])).
% 135.73/86.37 tff(17842,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB94) | (~v112(constB94)) | v145(constB94))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB94)) | v145(constB94) | v113(constB94))),
% 135.73/86.37 inference(transitivity,[status(thm)],[17841, 17839])).
% 135.73/86.37 tff(17843,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB94) | (~v112(constB94)) | v145(constB94))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17844,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB94)) | v145(constB94) | v113(constB94)),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17843, 17842])).
% 135.73/86.37 tff(17845,plain,
% 135.73/86.37 (~v112(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17844, 2894, 17838, 17834])).
% 135.73/86.37 tff(17846,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB94) | v115(constB94) | (~v111(constB94)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB94) | v115(constB94) | (~v111(constB94)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17847,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB94) | v115(constB94) | (~v111(constB94)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17848,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB94) | v115(constB94) | (~v111(constB94))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17847, 17846])).
% 135.73/86.37 tff(17849,plain,
% 135.73/86.37 (v115(constB94) | (~v111(constB94))),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17848, 2911, 17845])).
% 135.73/86.37 tff(17850,plain,
% 135.73/86.37 (~v111(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17849, 17830])).
% 135.73/86.37 tff(17851,plain,
% 135.73/86.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB94, bitIndex2)) | (~v116(constB94)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB94, bitIndex2)) | (~v116(constB94)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17852,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB94, bitIndex2)) | (~v116(constB94)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17853,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB94, bitIndex2)) | (~v116(constB94))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17852, 17851])).
% 135.73/86.37 tff(17854,plain,
% 135.73/86.37 (~v116(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17853, 1130, 17636])).
% 135.73/86.37 tff(17855,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB94) | v116(constB94) | (~v110(constB94)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB94) | v116(constB94) | (~v110(constB94)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17856,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB94) | v116(constB94) | (~v110(constB94)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17857,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB94) | v116(constB94) | (~v110(constB94))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17856, 17855])).
% 135.73/86.37 tff(17858,plain,
% 135.73/86.37 (~v110(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17857, 2932, 17854, 17850])).
% 135.73/86.37 tff(17859,plain,
% 135.73/86.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB94, bitIndex1)) | (~v172(constB94)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB94, bitIndex1)) | (~v172(constB94)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17860,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB94, bitIndex1)) | (~v172(constB94)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17861,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB94, bitIndex1)) | (~v172(constB94))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17860, 17859])).
% 135.73/86.37 tff(17862,plain,
% 135.73/86.37 (~v172(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17861, 2289, 15619])).
% 135.73/86.37 tff(17863,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB94)) | v172(constB94) | v110(constB94))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB94)) | v172(constB94) | v110(constB94))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17864,plain,
% 135.73/86.37 ((v110(constB94) | (~v109(constB94)) | v172(constB94)) <=> ((~v109(constB94)) | v172(constB94) | v110(constB94))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17865,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB94) | (~v109(constB94)) | v172(constB94))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB94)) | v172(constB94) | v110(constB94)))),
% 135.73/86.37 inference(monotonicity,[status(thm)],[17864])).
% 135.73/86.37 tff(17866,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB94) | (~v109(constB94)) | v172(constB94))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB94)) | v172(constB94) | v110(constB94))),
% 135.73/86.37 inference(transitivity,[status(thm)],[17865, 17863])).
% 135.73/86.37 tff(17867,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB94) | (~v109(constB94)) | v172(constB94))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17868,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB94)) | v172(constB94) | v110(constB94)),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17867, 17866])).
% 135.73/86.37 tff(17869,plain,
% 135.73/86.37 ((~v109(constB94)) | v110(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17868, 2871, 17862])).
% 135.73/86.37 tff(17870,plain,
% 135.73/86.37 (~v109(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17869, 17858])).
% 135.73/86.37 tff(17871,plain,
% 135.73/86.37 (v123(constB96, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17763, 15547, 17674])).
% 135.73/86.37 tff(17872,plain,
% 135.73/86.37 (v121(constB95, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16732, 17871])).
% 135.73/86.37 tff(17873,plain,
% 135.73/86.37 (v124(constB95, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17758, 17872])).
% 135.73/86.37 tff(17874,plain,
% 135.73/86.37 (~v145(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16748, 17873])).
% 135.73/86.37 tff(17875,assumption,(~v113(constB95)), introduced(assumption)).
% 135.73/86.37 tff(17876,plain,
% 135.73/86.37 (v84(constB95, bitIndex0)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16697, 17826])).
% 135.73/86.37 tff(17877,plain,
% 135.73/86.37 (~v115(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17650, 3011, 17876])).
% 135.73/86.37 tff(17878,plain,
% 135.73/86.37 (~v123(constB96, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15222, 15211, 15214])).
% 135.73/86.37 tff(17879,plain,
% 135.73/86.37 (~v121(constB95, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16767, 17878])).
% 135.73/86.37 tff(17880,plain,
% 135.73/86.37 (~v124(constB95, bitIndex1)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[16763, 17879])).
% 135.73/86.37 tff(17881,plain,
% 135.73/86.37 (~v172(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[15722, 17880])).
% 135.73/86.37 tff(17882,assumption,(~v115(constB95)), introduced(assumption)).
% 135.73/86.37 tff(17883,assumption,(~v102(constB94)), introduced(assumption)).
% 135.73/86.37 tff(17884,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17885,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB95) | (~v144(constB95)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17886,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB95) | (~v144(constB95))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17885, 17884])).
% 135.73/86.37 tff(17887,plain,
% 135.73/86.37 (~v144(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17886, 520, 15664])).
% 135.73/86.37 tff(17888,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17889,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB95) | (~v142(constB95)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17890,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB95) | (~v142(constB95))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17889, 17888])).
% 135.73/86.37 tff(17891,plain,
% 135.73/86.37 (~v142(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17890, 418, 17887])).
% 135.73/86.37 tff(17892,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB94) | (~v26(constB94)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB94) | (~v26(constB94)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17893,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB94) | (~v26(constB94)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17894,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB94) | (~v26(constB94))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17893, 17892])).
% 135.73/86.37 tff(17895,plain,
% 135.73/86.37 (~v26(constB94)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17894, 630, 17883])).
% 135.73/86.37 tff(17896,plain,
% 135.73/86.37 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB94, constB95)) | v26(constB94) | (~v66(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB94, constB95)) | v26(constB94) | (~v66(constB95)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17897,plain,
% 135.73/86.37 ((v26(constB94) | (~nextState(constB94, constB95)) | (~v66(constB95))) <=> ((~nextState(constB94, constB95)) | v26(constB94) | (~v66(constB95)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17898,plain,
% 135.73/86.37 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB94) | (~nextState(constB94, constB95)) | (~v66(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB94, constB95)) | v26(constB94) | (~v66(constB95))))),
% 135.73/86.37 inference(monotonicity,[status(thm)],[17897])).
% 135.73/86.37 tff(17899,plain,
% 135.73/86.37 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB94) | (~nextState(constB94, constB95)) | (~v66(constB95)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB94, constB95)) | v26(constB94) | (~v66(constB95)))),
% 135.73/86.37 inference(transitivity,[status(thm)],[17898, 17896])).
% 135.73/86.37 tff(17900,plain,
% 135.73/86.37 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB94) | (~nextState(constB94, constB95)) | (~v66(constB95)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17901,plain,
% 135.73/86.37 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB94, constB95)) | v26(constB94) | (~v66(constB95))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17900, 17899])).
% 135.73/86.37 tff(17902,plain,
% 135.73/86.37 (v26(constB94) | (~v66(constB95))),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17901, 3286, 15622])).
% 135.73/86.37 tff(17903,plain,
% 135.73/86.37 (~v66(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17902, 17895])).
% 135.73/86.37 tff(17904,assumption,(v18(constB96)), introduced(assumption)).
% 135.73/86.37 tff(17905,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB96))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17906,plain,
% 135.73/86.37 ($false),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17905, 123, 17904])).
% 135.73/86.37 tff(17907,plain,(~v18(constB96)), inference(lemma,lemma(discharge,[]))).
% 135.73/86.37 tff(17908,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96)))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17909,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB96) | (~v1(constB96)))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17910,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB96) | (~v1(constB96))),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17909, 17908])).
% 135.73/86.37 tff(17911,plain,
% 135.73/86.37 (v22(constB96)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17910, 133, 15332])).
% 135.73/86.37 tff(17912,plain,
% 135.73/86.37 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17913,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB96)) | (~v22(constB96)) | v18(constB96))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17914,plain,
% 135.73/86.37 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB96)) | (~v22(constB96)) | v18(constB96)),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17913, 17912])).
% 135.73/86.37 tff(17915,plain,
% 135.73/86.37 ((~v19(constB96)) | v18(constB96)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17914, 147, 17911])).
% 135.73/86.37 tff(17916,plain,
% 135.73/86.37 (~v19(constB96)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17915, 17907])).
% 135.73/86.37 tff(17917,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17918,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB96) | v19(constB96))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17919,plain,
% 135.73/86.37 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB96) | v19(constB96)),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17918, 17917])).
% 135.73/86.37 tff(17920,plain,
% 135.73/86.37 (v13(constB96)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17919, 162, 17916])).
% 135.73/86.37 tff(17921,plain,
% 135.73/86.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 135.73/86.37 inference(rewrite,[status(thm)],[])).
% 135.73/86.37 tff(17922,plain,
% 135.73/86.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95))),
% 135.73/86.37 inference(quant_inst,[status(thm)],[])).
% 135.73/86.37 tff(17923,plain,
% 135.73/86.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB95, constB96)) | (~v13(constB96)) | v9(constB95)),
% 135.73/86.37 inference(modus_ponens,[status(thm)],[17922, 17921])).
% 135.73/86.37 tff(17924,plain,
% 135.73/86.37 ((~v13(constB96)) | v9(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17923, 176, 15303])).
% 135.73/86.37 tff(17925,plain,
% 135.73/86.37 (v9(constB95)),
% 135.73/86.37 inference(unit_resolution,[status(thm)],[17924, 17920])).
% 135.73/86.37 tff(17926,plain,
% 135.73/86.37 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB95) | v64(constB95) | (~v9(constB95)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB95) | v64(constB95) | (~v9(constB95)))),
% 135.73/86.38 inference(rewrite,[status(thm)],[])).
% 135.73/86.38 tff(17927,plain,
% 135.73/86.38 ((v1(constB95) | (~v9(constB95)) | v64(constB95)) <=> (v1(constB95) | v64(constB95) | (~v9(constB95)))),
% 135.73/86.38 inference(rewrite,[status(thm)],[])).
% 135.73/86.38 tff(17928,plain,
% 135.73/86.38 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v64(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB95) | v64(constB95) | (~v9(constB95))))),
% 135.73/86.38 inference(monotonicity,[status(thm)],[17927])).
% 135.73/86.38 tff(17929,plain,
% 135.73/86.38 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v64(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB95) | v64(constB95) | (~v9(constB95)))),
% 135.73/86.38 inference(transitivity,[status(thm)],[17928, 17926])).
% 135.73/86.38 tff(17930,plain,
% 135.73/86.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v64(constB95))),
% 135.73/86.38 inference(quant_inst,[status(thm)],[])).
% 135.73/86.38 tff(17931,plain,
% 135.73/86.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB95) | v64(constB95) | (~v9(constB95))),
% 135.73/86.38 inference(modus_ponens,[status(thm)],[17930, 17929])).
% 135.73/86.38 tff(17932,plain,
% 135.73/86.38 (v64(constB95) | (~v9(constB95))),
% 135.73/86.38 inference(unit_resolution,[status(thm)],[17931, 3304, 15320])).
% 135.73/86.38 tff(17933,plain,
% 135.73/86.38 (v64(constB95)),
% 135.73/86.38 inference(unit_resolution,[status(thm)],[17932, 17925])).
% 135.73/86.38 tff(17934,plain,
% 135.73/86.38 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB95)) | v66(constB95) | (~v64(constB95)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB95)) | v66(constB95) | (~v64(constB95)))),
% 135.73/86.38 inference(rewrite,[status(thm)],[])).
% 135.73/86.38 tff(17935,plain,
% 135.73/86.38 (((~v64(constB95)) | (~v60(constB95)) | v66(constB95)) <=> ((~v60(constB95)) | v66(constB95) | (~v64(constB95)))),
% 135.73/86.38 inference(rewrite,[status(thm)],[])).
% 135.73/86.38 tff(17936,plain,
% 135.73/86.38 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB95)) | (~v60(constB95)) | v66(constB95))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB95)) | v66(constB95) | (~v64(constB95))))),
% 135.73/86.38 inference(monotonicity,[status(thm)],[17935])).
% 135.73/86.38 tff(17937,plain,
% 135.73/86.38 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB95)) | (~v60(constB95)) | v66(constB95))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB95)) | v66(constB95) | (~v64(constB95)))),
% 135.73/86.38 inference(transitivity,[status(thm)],[17936, 17934])).
% 135.73/86.38 tff(17938,plain,
% 135.73/86.38 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB95)) | (~v60(constB95)) | v66(constB95))),
% 135.73/86.38 inference(quant_inst,[status(thm)],[])).
% 135.73/86.38 tff(17939,plain,
% 135.73/86.38 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB95)) | v66(constB95) | (~v64(constB95))),
% 135.73/86.38 inference(modus_ponens,[status(thm)],[17938, 17937])).
% 135.73/86.38 tff(17940,plain,
% 135.73/86.38 ((~v60(constB95)) | v66(constB95)),
% 135.73/86.38 inference(unit_resolution,[status(thm)],[17939, 3322, 17933])).
% 135.73/86.38 tff(17941,plain,
% 135.73/86.38 (~v60(constB95)),
% 135.73/86.38 inference(unit_resolution,[status(thm)],[17940, 17903])).
% 135.73/86.38 tff(17942,assumption,(v71(constB95)), introduced(assumption)).
% 135.73/86.38 tff(17943,plain,
% 135.73/86.38 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB95))),
% 135.73/86.38 inference(quant_inst,[status(thm)],[])).
% 135.73/86.38 tff(17944,plain,
% 135.73/86.38 ($false),
% 135.73/86.38 inference(unit_resolution,[status(thm)],[17943, 3338, 17942])).
% 135.73/86.38 tff(17945,plain,(~v71(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.73/86.38 tff(17946,plain,
% 135.73/86.38 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB95) | (~v9(constB95)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB95) | (~v9(constB95)))),
% 135.73/86.38 inference(rewrite,[status(thm)],[])).
% 135.73/86.38 tff(17947,plain,
% 135.73/86.38 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB95) | (~v9(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(17948,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB95) | (~v9(constB95))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 135.74/86.38 tff(17949,plain,
% 135.74/86.38 (v80(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17948, 3348, 17925])).
% 135.74/86.38 tff(17950,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB95) | v78(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB95) | v78(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17951,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB95) | v78(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(17952,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB95) | v78(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17951, 17950])).
% 135.74/86.38 tff(17953,plain,
% 135.74/86.38 (v78(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17952, 3362, 15320])).
% 135.74/86.38 tff(17954,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB95)) | (~v80(constB95)) | v76(constB95))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB95)) | (~v80(constB95)) | v76(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17955,plain,
% 135.74/86.38 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB95)) | (~v80(constB95)) | v76(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(17956,plain,
% 135.74/86.38 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB95)) | (~v80(constB95)) | v76(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17955, 17954])).
% 135.74/86.38 tff(17957,plain,
% 135.74/86.38 ((~v80(constB95)) | v76(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17956, 3376, 17953])).
% 135.74/86.38 tff(17958,plain,
% 135.74/86.38 (v76(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17957, 17949])).
% 135.74/86.38 tff(17959,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB95)) | (~v72(constB95)) | v71(constB95))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB95)) | (~v72(constB95)) | v71(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17960,plain,
% 135.74/86.38 (((~v72(constB95)) | (~v76(constB95)) | v71(constB95)) <=> ((~v76(constB95)) | (~v72(constB95)) | v71(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17961,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB95)) | (~v76(constB95)) | v71(constB95))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v76(constB95)) | (~v72(constB95)) | v71(constB95)))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[17960])).
% 135.74/86.38 tff(17962,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB95)) | (~v76(constB95)) | v71(constB95))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB95)) | (~v72(constB95)) | v71(constB95))),
% 135.74/86.38 inference(transitivity,[status(thm)],[17961, 17959])).
% 135.74/86.38 tff(17963,plain,
% 135.74/86.38 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB95)) | (~v76(constB95)) | v71(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(17964,plain,
% 135.74/86.38 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v76(constB95)) | (~v72(constB95)) | v71(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17963, 17962])).
% 135.74/86.38 tff(17965,plain,
% 135.74/86.38 ((~v72(constB95)) | v71(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17964, 3391, 17958])).
% 135.74/86.38 tff(17966,plain,
% 135.74/86.38 (~v72(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17965, 17945])).
% 135.74/86.38 tff(17967,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB95) | v72(constB95) | v74(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB95) | v72(constB95) | v74(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17968,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB95) | v72(constB95) | v74(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(17969,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB95) | v72(constB95) | v74(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 135.74/86.38 tff(17970,plain,
% 135.74/86.38 (v72(constB95) | v74(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17969, 3406, 15320])).
% 135.74/86.38 tff(17971,plain,
% 135.74/86.38 (v74(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17970, 17966])).
% 135.74/86.38 tff(17972,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB95) | (~v26(constB95)) | (~v74(constB95)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB95) | (~v26(constB95)) | (~v74(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17973,plain,
% 135.74/86.38 (((~v26(constB95)) | v60(constB95) | (~v74(constB95))) <=> (v60(constB95) | (~v26(constB95)) | (~v74(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17974,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB95)) | v60(constB95) | (~v74(constB95)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB95) | (~v26(constB95)) | (~v74(constB95))))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[17973])).
% 135.74/86.38 tff(17975,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB95)) | v60(constB95) | (~v74(constB95)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB95) | (~v26(constB95)) | (~v74(constB95)))),
% 135.74/86.38 inference(transitivity,[status(thm)],[17974, 17972])).
% 135.74/86.38 tff(17976,plain,
% 135.74/86.38 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB95)) | v60(constB95) | (~v74(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(17977,plain,
% 135.74/86.38 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB95) | (~v26(constB95)) | (~v74(constB95))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17976, 17975])).
% 135.74/86.38 tff(17978,plain,
% 135.74/86.38 (v60(constB95) | (~v26(constB95))),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17977, 3421, 17971])).
% 135.74/86.38 tff(17979,plain,
% 135.74/86.38 (~v26(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17978, 17941])).
% 135.74/86.38 tff(17980,assumption,(~v142(constB95)), introduced(assumption)).
% 135.74/86.38 tff(17981,plain,
% 135.74/86.38 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)) <=> (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)))),
% 135.74/86.38 inference(bind,[status(th)],[])).
% 135.74/86.38 tff(17982,plain,
% 135.74/86.38 (![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 135.74/86.38 inference(quant_intro,[status(thm)],[17981])).
% 135.74/86.38 tff(17983,plain,
% 135.74/86.38 (![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17984,plain,
% 135.74/86.38 (^[VarCurr: $i] : rewrite(((v142(VarCurr) | (~v144(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr)))),
% 135.74/86.38 inference(bind,[status(th)],[])).
% 135.74/86.38 tff(17985,plain,
% 135.74/86.38 (![VarCurr: $i] : ((v142(VarCurr) | (~v144(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 135.74/86.38 inference(quant_intro,[status(thm)],[17984])).
% 135.74/86.38 tff(17986,axiom,(![VarCurr: $i] : ((v142(VarCurr) | (~v144(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_32_1_1_1')).
% 135.74/86.38 tff(17987,plain,
% 135.74/86.38 (![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17986, 17985])).
% 135.74/86.38 tff(17988,plain,
% 135.74/86.38 (![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17987, 17983])).
% 135.74/86.38 tff(17989,plain,(
% 135.74/86.38 ![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 135.74/86.38 inference(skolemize,[status(sab)],[17988])).
% 135.74/86.38 tff(17990,plain,
% 135.74/86.38 (![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17989, 17982])).
% 135.74/86.38 tff(17991,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB95) | (~v144(constB95)) | v142(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB95) | (~v144(constB95)) | v142(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17992,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB95) | (~v144(constB95)) | v142(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(17993,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB95) | (~v144(constB95)) | v142(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17992, 17991])).
% 135.74/86.38 tff(17994,plain,
% 135.74/86.38 (v26(constB95) | (~v144(constB95))),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17993, 17990, 17980])).
% 135.74/86.38 tff(17995,plain,
% 135.74/86.38 (~v144(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17994, 17979])).
% 135.74/86.38 tff(17996,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(17997,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB95) | (~v9(constB95)) | v141(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(17998,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB95) | (~v9(constB95)) | v141(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[17997, 17996])).
% 135.74/86.38 tff(17999,plain,
% 135.74/86.38 ((~v9(constB95)) | v141(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17998, 194, 15320])).
% 135.74/86.38 tff(18000,plain,
% 135.74/86.38 (v141(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[17999, 17925])).
% 135.74/86.38 tff(18001,plain,
% 135.74/86.38 (^[VarCurr: $i] : refl(((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)) <=> ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)))),
% 135.74/86.38 inference(bind,[status(th)],[])).
% 135.74/86.38 tff(18002,plain,
% 135.74/86.38 (![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 135.74/86.38 inference(quant_intro,[status(thm)],[18001])).
% 135.74/86.38 tff(18003,plain,
% 135.74/86.38 (![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)) <=> ![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18004,plain,
% 135.74/86.38 (^[VarCurr: $i] : rewrite(((v144(VarCurr) | (~v145(VarCurr))) | (~v141(VarCurr))) <=> ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr)))),
% 135.74/86.38 inference(bind,[status(th)],[])).
% 135.74/86.38 tff(18005,plain,
% 135.74/86.38 (![VarCurr: $i] : ((v144(VarCurr) | (~v145(VarCurr))) | (~v141(VarCurr))) <=> ![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 135.74/86.38 inference(quant_intro,[status(thm)],[18004])).
% 135.74/86.38 tff(18006,axiom,(![VarCurr: $i] : ((v144(VarCurr) | (~v145(VarCurr))) | (~v141(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_31_1_1')).
% 135.74/86.38 tff(18007,plain,
% 135.74/86.38 (![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18006, 18005])).
% 135.74/86.38 tff(18008,plain,
% 135.74/86.38 (![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18007, 18003])).
% 135.74/86.38 tff(18009,plain,(
% 135.74/86.38 ![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 135.74/86.38 inference(skolemize,[status(sab)],[18008])).
% 135.74/86.38 tff(18010,plain,
% 135.74/86.38 (![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18009, 18002])).
% 135.74/86.38 tff(18011,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB95)) | v144(constB95) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (~v141(constB95)) | v144(constB95) | (~v145(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18012,plain,
% 135.74/86.38 (((~v141(constB95)) | (~v145(constB95)) | v144(constB95)) <=> ((~v141(constB95)) | v144(constB95) | (~v145(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18013,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB95)) | (~v145(constB95)) | v144(constB95))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB95)) | v144(constB95) | (~v145(constB95))))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18012])).
% 135.74/86.38 tff(18014,plain,
% 135.74/86.38 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB95)) | (~v145(constB95)) | v144(constB95))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (~v141(constB95)) | v144(constB95) | (~v145(constB95)))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18013, 18011])).
% 135.74/86.38 tff(18015,plain,
% 135.74/86.38 ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB95)) | (~v145(constB95)) | v144(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18016,plain,
% 135.74/86.38 ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (~v141(constB95)) | v144(constB95) | (~v145(constB95))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18015, 18014])).
% 135.74/86.38 tff(18017,plain,
% 135.74/86.38 (v144(constB95) | (~v145(constB95))),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18016, 18010, 18000])).
% 135.74/86.38 tff(18018,plain,
% 135.74/86.38 (~v145(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18017, 17995])).
% 135.74/86.38 tff(18019,plain,
% 135.74/86.38 (v94(constB96)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[15679, 18018, 15214, 15298, 15547])).
% 135.74/86.38 tff(18020,plain,
% 135.74/86.38 ((~v94(constB96)) | (~v123(constB96, bitIndex1))),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[15220, 1674, 823, 15214])).
% 135.74/86.38 tff(18021,plain,
% 135.74/86.38 (~v123(constB96, bitIndex1)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18020, 18019])).
% 135.74/86.38 tff(18022,plain,
% 135.74/86.38 (~v121(constB95, bitIndex1)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[15477, 1708, 823, 15303, 18021])).
% 135.74/86.38 tff(18023,plain,
% 135.74/86.38 (~v124(constB95, bitIndex1)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[15484, 1728, 823, 17979, 18022])).
% 135.74/86.38 tff(18024,plain,
% 135.74/86.38 (~v115(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[15491, 3033, 1193, 823, 18023])).
% 135.74/86.38 tff(18025,plain,
% 135.74/86.38 ((~v94(constB96)) | v123(constB96, bitIndex0)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[16724, 1344, 795, 15547])).
% 135.74/86.38 tff(18026,plain,
% 135.74/86.38 (v123(constB96, bitIndex0)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18025, 18019])).
% 135.74/86.38 tff(18027,plain,
% 135.74/86.38 (v121(constB95, bitIndex0)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[16730, 1362, 795, 15303, 18026])).
% 135.74/86.38 tff(18028,plain,
% 135.74/86.38 (v124(constB95, bitIndex0)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[16752, 1380, 795, 17979, 18027])).
% 135.74/86.38 tff(18029,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB95)) | (~v124(constB95, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18030,plain,
% 135.74/86.38 (((~v113(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18031,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB95)) | (~v124(constB95, bitIndex0))))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18030])).
% 135.74/86.38 tff(18032,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18031, 18029])).
% 135.74/86.38 tff(18033,plain,
% 135.74/86.38 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b100(bitIndex0))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18034,plain,
% 135.74/86.38 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB95)) | (~v124(constB95, bitIndex0))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18033, 18032])).
% 135.74/86.38 tff(18035,plain,
% 135.74/86.38 (~v113(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18034, 2386, 2186, 795, 18028])).
% 135.74/86.38 tff(18036,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB95)) | v145(constB95) | v113(constB95))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB95)) | v145(constB95) | v113(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18037,plain,
% 135.74/86.38 ((v113(constB95) | (~v112(constB95)) | v145(constB95)) <=> ((~v112(constB95)) | v145(constB95) | v113(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18038,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB95) | (~v112(constB95)) | v145(constB95))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB95)) | v145(constB95) | v113(constB95)))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18037])).
% 135.74/86.38 tff(18039,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB95) | (~v112(constB95)) | v145(constB95))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB95)) | v145(constB95) | v113(constB95))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18038, 18036])).
% 135.74/86.38 tff(18040,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB95) | (~v112(constB95)) | v145(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18041,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB95)) | v145(constB95) | v113(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18040, 18039])).
% 135.74/86.38 tff(18042,plain,
% 135.74/86.38 ((~v112(constB95)) | v113(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18041, 2894, 18018])).
% 135.74/86.38 tff(18043,plain,
% 135.74/86.38 (~v112(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18042, 18035])).
% 135.74/86.38 tff(18044,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB95) | v115(constB95) | (~v111(constB95)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB95) | v115(constB95) | (~v111(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18045,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB95) | v115(constB95) | (~v111(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18046,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB95) | v115(constB95) | (~v111(constB95))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18045, 18044])).
% 135.74/86.38 tff(18047,plain,
% 135.74/86.38 (~v111(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18046, 2911, 18043, 18024])).
% 135.74/86.38 tff(18048,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB95)) | (~v124(constB95, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18049,plain,
% 135.74/86.38 (((~v116(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18050,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB95)) | (~v124(constB95, bitIndex0))))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18049])).
% 135.74/86.38 tff(18051,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18050, 18048])).
% 135.74/86.38 tff(18052,plain,
% 135.74/86.38 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b100(bitIndex0))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18053,plain,
% 135.74/86.38 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB95)) | (~v124(constB95, bitIndex0))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18052, 18051])).
% 135.74/86.38 tff(18054,plain,
% 135.74/86.38 (~v116(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18053, 2386, 2164, 795, 18028])).
% 135.74/86.38 tff(18055,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB95) | v116(constB95) | (~v110(constB95)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB95) | v116(constB95) | (~v110(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18056,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB95) | v116(constB95) | (~v110(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18057,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB95) | v116(constB95) | (~v110(constB95))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18056, 18055])).
% 135.74/86.38 tff(18058,plain,
% 135.74/86.38 (v111(constB95) | (~v110(constB95))),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18057, 2932, 18054])).
% 135.74/86.38 tff(18059,plain,
% 135.74/86.38 (~v110(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18058, 18047])).
% 135.74/86.38 tff(18060,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB95)) | (~v124(constB95, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18061,plain,
% 135.74/86.38 (((~v172(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18062,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB95)) | (~v124(constB95, bitIndex0))))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18061])).
% 135.74/86.38 tff(18063,plain,
% 135.74/86.38 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB95)) | (~v124(constB95, bitIndex0)))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18062, 18060])).
% 135.74/86.38 tff(18064,plain,
% 135.74/86.38 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB95)) | (~less_3(bitIndex0)) | (~v124(constB95, bitIndex0)) | b110(bitIndex0))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18065,plain,
% 135.74/86.38 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB95)) | (~v124(constB95, bitIndex0))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18064, 18063])).
% 135.74/86.38 tff(18066,plain,
% 135.74/86.38 (~v172(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18065, 1997, 1994, 795, 18028])).
% 135.74/86.38 tff(18067,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB95)) | v172(constB95) | v110(constB95))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB95)) | v172(constB95) | v110(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18068,plain,
% 135.74/86.38 ((v110(constB95) | (~v109(constB95)) | v172(constB95)) <=> ((~v109(constB95)) | v172(constB95) | v110(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18069,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB95) | (~v109(constB95)) | v172(constB95))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB95)) | v172(constB95) | v110(constB95)))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18068])).
% 135.74/86.38 tff(18070,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB95) | (~v109(constB95)) | v172(constB95))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB95)) | v172(constB95) | v110(constB95))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18069, 18067])).
% 135.74/86.38 tff(18071,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB95) | (~v109(constB95)) | v172(constB95))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18072,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB95)) | v172(constB95) | v110(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18071, 18070])).
% 135.74/86.38 tff(18073,plain,
% 135.74/86.38 ((~v109(constB95)) | v110(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18072, 2871, 18066])).
% 135.74/86.38 tff(18074,plain,
% 135.74/86.38 (~v109(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18073, 18059])).
% 135.74/86.38 tff(18075,plain,
% 135.74/86.38 (~v118(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[15505, 3033, 1145, 823, 18023])).
% 135.74/86.38 tff(18076,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB95) | v118(constB95) | (~v108(constB95)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB95) | v118(constB95) | (~v108(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18077,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB95) | v118(constB95) | (~v108(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18078,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB95) | v118(constB95) | (~v108(constB95))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18077, 18076])).
% 135.74/86.38 tff(18079,plain,
% 135.74/86.38 (v109(constB95) | (~v108(constB95))),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18078, 2856, 18075])).
% 135.74/86.38 tff(18080,plain,
% 135.74/86.38 (~v108(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18079, 18074])).
% 135.74/86.38 tff(18081,plain,
% 135.74/86.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v94(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v94(constB96)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18082,plain,
% 135.74/86.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB95, constB96)) | v104(constB96) | (~v94(constB96)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18083,plain,
% 135.74/86.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB95, constB96)) | v104(constB96) | (~v94(constB96))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18082, 18081])).
% 135.74/86.38 tff(18084,plain,
% 135.74/86.38 (v104(constB96) | (~v94(constB96))),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18083, 3113, 15303])).
% 135.74/86.38 tff(18085,plain,
% 135.74/86.38 (v104(constB96)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18084, 18019])).
% 135.74/86.38 tff(18086,plain,
% 135.74/86.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB95, constB96)) | (~v104(constB96)) | v102(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB95, constB96)) | (~v104(constB96)) | v102(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18087,plain,
% 135.74/86.38 (((~nextState(constB95, constB96)) | v102(constB95) | (~v104(constB96))) <=> ((~nextState(constB95, constB96)) | (~v104(constB96)) | v102(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18088,plain,
% 135.74/86.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB95, constB96)) | v102(constB95) | (~v104(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB95, constB96)) | (~v104(constB96)) | v102(constB95)))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18087])).
% 135.74/86.38 tff(18089,plain,
% 135.74/86.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB95, constB96)) | v102(constB95) | (~v104(constB96)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB95, constB96)) | (~v104(constB96)) | v102(constB95))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18088, 18086])).
% 135.74/86.38 tff(18090,plain,
% 135.74/86.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB95, constB96)) | v102(constB95) | (~v104(constB96)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18091,plain,
% 135.74/86.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB95, constB96)) | (~v104(constB96)) | v102(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18090, 18089])).
% 135.74/86.38 tff(18092,plain,
% 135.74/86.38 ((~v104(constB96)) | v102(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18091, 3128, 15303])).
% 135.74/86.38 tff(18093,plain,
% 135.74/86.38 (v102(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18092, 18085])).
% 135.74/86.38 tff(18094,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB95)) | v26(constB95) | v106(constB95))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB95)) | v26(constB95) | v106(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18095,plain,
% 135.74/86.38 ((v26(constB95) | v106(constB95) | (~v102(constB95))) <=> ((~v102(constB95)) | v26(constB95) | v106(constB95))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18096,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB95) | v106(constB95) | (~v102(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB95)) | v26(constB95) | v106(constB95)))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18095])).
% 135.74/86.38 tff(18097,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB95) | v106(constB95) | (~v102(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB95)) | v26(constB95) | v106(constB95))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18096, 18094])).
% 135.74/86.38 tff(18098,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB95) | v106(constB95) | (~v102(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18099,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB95)) | v26(constB95) | v106(constB95)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18098, 18097])).
% 135.74/86.38 tff(18100,plain,
% 135.74/86.38 ((~v102(constB95)) | v106(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18099, 3146, 17979])).
% 135.74/86.38 tff(18101,plain,
% 135.74/86.38 (v106(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18100, 18093])).
% 135.74/86.38 tff(18102,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB95) | (~v106(constB95)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB95) | (~v106(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18103,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB95) | (~v106(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18104,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB95) | (~v106(constB95))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18103, 18102])).
% 135.74/86.38 tff(18105,plain,
% 135.74/86.38 (v107(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18104, 3161, 18101])).
% 135.74/86.38 tff(18106,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB95) | v119(constB95) | (~v107(constB95)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB95) | v119(constB95) | (~v107(constB95)))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18107,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB95) | v119(constB95) | (~v107(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18108,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB95) | v119(constB95) | (~v107(constB95))),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18107, 18106])).
% 135.74/86.38 tff(18109,plain,
% 135.74/86.38 (v108(constB95) | v119(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18108, 3195, 18105])).
% 135.74/86.38 tff(18110,plain,
% 135.74/86.38 (v119(constB95)),
% 135.74/86.38 inference(unit_resolution,[status(thm)],[18109, 18080])).
% 135.74/86.38 tff(18111,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB95)) | v84(constB95, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB95)) | v84(constB95, bitIndex2))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18112,plain,
% 135.74/86.38 ((v84(constB95, bitIndex2) | (~v119(constB95))) <=> ((~v119(constB95)) | v84(constB95, bitIndex2))),
% 135.74/86.38 inference(rewrite,[status(thm)],[])).
% 135.74/86.38 tff(18113,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB95, bitIndex2) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB95)) | v84(constB95, bitIndex2)))),
% 135.74/86.38 inference(monotonicity,[status(thm)],[18112])).
% 135.74/86.38 tff(18114,plain,
% 135.74/86.38 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB95, bitIndex2) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB95)) | v84(constB95, bitIndex2))),
% 135.74/86.38 inference(transitivity,[status(thm)],[18113, 18111])).
% 135.74/86.38 tff(18115,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB95, bitIndex2) | (~v119(constB95)))),
% 135.74/86.38 inference(quant_inst,[status(thm)],[])).
% 135.74/86.38 tff(18116,plain,
% 135.74/86.38 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB95)) | v84(constB95, bitIndex2)),
% 135.74/86.38 inference(modus_ponens,[status(thm)],[18115, 18114])).
% 135.74/86.39 tff(18117,plain,
% 135.74/86.39 (v84(constB95, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18116, 7833, 18110])).
% 135.74/86.39 tff(18118,plain,
% 135.74/86.39 (v84(constB94, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[15713, 805, 767, 15622, 15634, 18117])).
% 135.74/86.39 tff(18119,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB95)) | (~v84(constB95, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB95)) | (~v84(constB95, bitIndex0)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18120,plain,
% 135.74/86.39 (((~v84(constB95, bitIndex0)) | (~v119(constB95))) <=> ((~v119(constB95)) | (~v84(constB95, bitIndex0)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18121,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB95, bitIndex0)) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB95)) | (~v84(constB95, bitIndex0))))),
% 135.74/86.39 inference(monotonicity,[status(thm)],[18120])).
% 135.74/86.39 tff(18122,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB95, bitIndex0)) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB95)) | (~v84(constB95, bitIndex0)))),
% 135.74/86.39 inference(transitivity,[status(thm)],[18121, 18119])).
% 135.74/86.39 tff(18123,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB95, bitIndex0)) | (~v119(constB95)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18124,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB95)) | (~v84(constB95, bitIndex0))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18123, 18122])).
% 135.74/86.39 tff(18125,plain,
% 135.74/86.39 (~v84(constB95, bitIndex0)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18124, 3173, 18110])).
% 135.74/86.39 tff(18126,plain,
% 135.74/86.39 (~v84(constB94, bitIndex0)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[16695, 777, 795, 15622, 15634, 18125])).
% 135.74/86.39 tff(18127,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB95)) | v84(constB95, bitIndex1))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB95)) | v84(constB95, bitIndex1))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18128,plain,
% 135.74/86.39 ((v84(constB95, bitIndex1) | (~v119(constB95))) <=> ((~v119(constB95)) | v84(constB95, bitIndex1))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18129,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB95, bitIndex1) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB95)) | v84(constB95, bitIndex1)))),
% 135.74/86.39 inference(monotonicity,[status(thm)],[18128])).
% 135.74/86.39 tff(18130,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB95, bitIndex1) | (~v119(constB95)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB95)) | v84(constB95, bitIndex1))),
% 135.74/86.39 inference(transitivity,[status(thm)],[18129, 18127])).
% 135.74/86.39 tff(18131,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB95, bitIndex1) | (~v119(constB95)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18132,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB95)) | v84(constB95, bitIndex1)),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18131, 18130])).
% 135.74/86.39 tff(18133,plain,
% 135.74/86.39 (v84(constB95, bitIndex1)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18132, 9858, 18110])).
% 135.74/86.39 tff(18134,plain,
% 135.74/86.39 (v84(constB94, bitIndex1)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17666, 805, 823, 15622, 15634, 18133])).
% 135.74/86.39 tff(18135,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB94) | (~v106(constB94)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB94) | (~v106(constB94)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18136,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB94) | (~v106(constB94)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18137,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB94) | (~v106(constB94))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18136, 18135])).
% 135.74/86.39 tff(18138,plain,
% 135.74/86.39 (~v106(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18137, 619, 17883])).
% 135.74/86.39 tff(18139,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB94) | v106(constB94) | (~v107(constB94)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB94) | v106(constB94) | (~v107(constB94)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18140,plain,
% 135.74/86.39 ((v26(constB94) | (~v107(constB94)) | v106(constB94)) <=> (v26(constB94) | v106(constB94) | (~v107(constB94)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18141,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB94) | (~v107(constB94)) | v106(constB94))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB94) | v106(constB94) | (~v107(constB94))))),
% 135.74/86.39 inference(monotonicity,[status(thm)],[18140])).
% 135.74/86.39 tff(18142,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB94) | (~v107(constB94)) | v106(constB94))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB94) | v106(constB94) | (~v107(constB94)))),
% 135.74/86.39 inference(transitivity,[status(thm)],[18141, 18139])).
% 135.74/86.39 tff(18143,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB94) | (~v107(constB94)) | v106(constB94))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18144,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB94) | v106(constB94) | (~v107(constB94))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18143, 18142])).
% 135.74/86.39 tff(18145,plain,
% 135.74/86.39 (~v107(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18144, 644, 17895, 18138])).
% 135.74/86.39 tff(18146,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB94) | (~v119(constB94)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB94) | (~v119(constB94)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18147,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB94) | (~v119(constB94)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18148,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB94) | (~v119(constB94))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18147, 18146])).
% 135.74/86.39 tff(18149,plain,
% 135.74/86.39 (~v119(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18148, 1927, 18145])).
% 135.74/86.39 tff(18150,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB94) | v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB94) | v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18151,plain,
% 135.74/86.39 ((v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2)) | v119(constB94)) <=> (v119(constB94) | v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18152,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2)) | v119(constB94))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB94) | v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2))))),
% 135.74/86.39 inference(monotonicity,[status(thm)],[18151])).
% 135.74/86.39 tff(18153,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2)) | v119(constB94))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB94) | v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2)))),
% 135.74/86.39 inference(transitivity,[status(thm)],[18152, 18150])).
% 135.74/86.39 tff(18154,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2)) | v119(constB94))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18155,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB94) | v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18154, 18153])).
% 135.74/86.39 tff(18156,plain,
% 135.74/86.39 (v84(constB94, bitIndex0) | (~v84(constB94, bitIndex1)) | (~v84(constB94, bitIndex2))),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18155, 1910, 18149])).
% 135.74/86.39 tff(18157,plain,
% 135.74/86.39 ($false),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18156, 18134, 18126, 18118])).
% 135.74/86.39 tff(18158,plain,(v102(constB94) | v84(constB96, bitIndex1) | (~v84(constB96, bitIndex0)) | v84(constB96, bitIndex2) | v142(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.39 tff(18159,plain,
% 135.74/86.39 (v84(constB96, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18158, 15547, 15214, 17891, 17883])).
% 135.74/86.39 tff(18160,plain,
% 135.74/86.39 (v123(constB96, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17775, 1344, 767, 15211, 18159])).
% 135.74/86.39 tff(18161,plain,
% 135.74/86.39 (v121(constB95, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17706, 18160])).
% 135.74/86.39 tff(18162,plain,
% 135.74/86.39 (v124(constB95, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17698, 18161])).
% 135.74/86.39 tff(18163,assumption,(~v116(constB95)), introduced(assumption)).
% 135.74/86.39 tff(18164,plain,
% 135.74/86.39 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex2)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18165,plain,
% 135.74/86.39 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex2)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18166,plain,
% 135.74/86.39 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex2))))),
% 135.74/86.39 inference(monotonicity,[status(thm)],[18165])).
% 135.74/86.39 tff(18167,plain,
% 135.74/86.39 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex2)))),
% 135.74/86.39 inference(transitivity,[status(thm)],[18166, 18164])).
% 135.74/86.39 tff(18168,plain,
% 135.74/86.39 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b001(bitIndex2))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18169,plain,
% 135.74/86.39 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex2))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18168, 18167])).
% 135.74/86.39 tff(18170,plain,
% 135.74/86.39 ($false),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18169, 2427, 2424, 767, 15664, 15726, 15725, 18163, 17882, 17875, 17679])).
% 135.74/86.39 tff(18171,plain,((~v124(constB95, bitIndex2)) | v145(constB95) | v172(constB95) | v118(constB95) | v116(constB95) | v115(constB95) | v113(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.39 tff(18172,plain,
% 135.74/86.39 (v116(constB95)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18171, 18162, 15664, 17882, 17881, 15725, 17875])).
% 135.74/86.39 tff(18173,plain,
% 135.74/86.39 (v123(constB96, bitIndex0)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17763, 15547, 15211])).
% 135.74/86.39 tff(18174,plain,
% 135.74/86.39 (v121(constB95, bitIndex0)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[16732, 18173])).
% 135.74/86.39 tff(18175,plain,
% 135.74/86.39 (v124(constB95, bitIndex0)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17758, 18174])).
% 135.74/86.39 tff(18176,plain,
% 135.74/86.39 ($false),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18053, 2386, 2164, 795, 18175, 18172])).
% 135.74/86.39 tff(18177,plain,((~v84(constB96, bitIndex0)) | v145(constB95) | v115(constB95) | v118(constB95) | v113(constB95) | (~v94(constB96)) | v84(constB96, bitIndex1) | v102(constB94)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.39 tff(18178,plain,
% 135.74/86.39 (v102(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18177, 17877, 15547, 15725, 17875, 17674, 15214, 17874])).
% 135.74/86.39 tff(18179,plain,
% 135.74/86.39 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))) <=> (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))))),
% 135.74/86.39 inference(bind,[status(th)],[])).
% 135.74/86.39 tff(18180,plain,
% 135.74/86.39 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 135.74/86.39 inference(quant_intro,[status(thm)],[18179])).
% 135.74/86.39 tff(18181,plain,
% 135.74/86.39 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18182,plain,
% 135.74/86.39 (^[VarCurr: $i] : rewrite(((v26(VarCurr) | (~v60(VarCurr))) | (~v74(VarCurr))) <=> (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr))))),
% 135.74/86.39 inference(bind,[status(th)],[])).
% 135.74/86.39 tff(18183,plain,
% 135.74/86.39 (![VarCurr: $i] : ((v26(VarCurr) | (~v60(VarCurr))) | (~v74(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 135.74/86.39 inference(quant_intro,[status(thm)],[18182])).
% 135.74/86.39 tff(18184,axiom,(![VarCurr: $i] : ((v26(VarCurr) | (~v60(VarCurr))) | (~v74(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_11_1_1')).
% 135.74/86.39 tff(18185,plain,
% 135.74/86.39 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18184, 18183])).
% 135.74/86.39 tff(18186,plain,
% 135.74/86.39 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18185, 18181])).
% 135.74/86.39 tff(18187,plain,(
% 135.74/86.39 ![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 135.74/86.39 inference(skolemize,[status(sab)],[18186])).
% 135.74/86.39 tff(18188,plain,
% 135.74/86.39 (![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18187, 18180])).
% 135.74/86.39 tff(18189,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | (v26(constB95) | (~v60(constB95)) | (~v74(constB95)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | v26(constB95) | (~v60(constB95)) | (~v74(constB95)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18190,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | (v26(constB95) | (~v60(constB95)) | (~v74(constB95)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18191,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | v26(constB95) | (~v60(constB95)) | (~v74(constB95))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18190, 18189])).
% 135.74/86.39 tff(18192,plain,
% 135.74/86.39 (v26(constB95) | (~v60(constB95))),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18191, 18188, 17971])).
% 135.74/86.39 tff(18193,plain,
% 135.74/86.39 (~v60(constB95)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18192, 15453])).
% 135.74/86.39 tff(18194,plain,
% 135.74/86.39 (^[VarNext: $i] : refl(((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))) <=> ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))))),
% 135.74/86.39 inference(bind,[status(th)],[])).
% 135.74/86.39 tff(18195,plain,
% 135.74/86.39 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 135.74/86.39 inference(quant_intro,[status(thm)],[18194])).
% 135.74/86.39 tff(18196,plain,
% 135.74/86.39 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18197,plain,
% 135.74/86.39 (^[VarNext: $i] : rewrite(((v60(VarNext) | (~v66(VarNext))) | (~v64(VarNext))) <=> ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext))))),
% 135.74/86.39 inference(bind,[status(th)],[])).
% 135.74/86.39 tff(18198,plain,
% 135.74/86.39 (![VarNext: $i] : ((v60(VarNext) | (~v66(VarNext))) | (~v64(VarNext))) <=> ![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 135.74/86.39 inference(quant_intro,[status(thm)],[18197])).
% 135.74/86.39 tff(18199,axiom,(![VarNext: $i] : ((v60(VarNext) | (~v66(VarNext))) | (~v64(VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_3_1_1')).
% 135.74/86.39 tff(18200,plain,
% 135.74/86.39 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18199, 18198])).
% 135.74/86.39 tff(18201,plain,
% 135.74/86.39 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18200, 18196])).
% 135.74/86.39 tff(18202,plain,(
% 135.74/86.39 ![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 135.74/86.39 inference(skolemize,[status(sab)],[18201])).
% 135.74/86.39 tff(18203,plain,
% 135.74/86.39 (![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18202, 18195])).
% 135.74/86.39 tff(18204,plain,
% 135.74/86.39 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | (v60(constB95) | (~v66(constB95)) | (~v64(constB95)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB95) | (~v66(constB95)) | (~v64(constB95)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18205,plain,
% 135.74/86.39 (((~v64(constB95)) | v60(constB95) | (~v66(constB95))) <=> (v60(constB95) | (~v66(constB95)) | (~v64(constB95)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18206,plain,
% 135.74/86.39 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB95)) | v60(constB95) | (~v66(constB95)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | (v60(constB95) | (~v66(constB95)) | (~v64(constB95))))),
% 135.74/86.39 inference(monotonicity,[status(thm)],[18205])).
% 135.74/86.39 tff(18207,plain,
% 135.74/86.39 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB95)) | v60(constB95) | (~v66(constB95)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB95) | (~v66(constB95)) | (~v64(constB95)))),
% 135.74/86.39 inference(transitivity,[status(thm)],[18206, 18204])).
% 135.74/86.39 tff(18208,plain,
% 135.74/86.39 ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB95)) | v60(constB95) | (~v66(constB95)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18209,plain,
% 135.74/86.39 ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB95) | (~v66(constB95)) | (~v64(constB95))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18208, 18207])).
% 135.74/86.39 tff(18210,plain,
% 135.74/86.39 (v60(constB95) | (~v66(constB95))),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18209, 18203, 17933])).
% 135.74/86.39 tff(18211,plain,
% 135.74/86.39 (~v66(constB95)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18210, 18193])).
% 135.74/86.39 tff(18212,plain,
% 135.74/86.39 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)))),
% 135.74/86.39 inference(bind,[status(th)],[])).
% 135.74/86.39 tff(18213,plain,
% 135.74/86.39 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 135.74/86.39 inference(quant_intro,[status(thm)],[18212])).
% 135.74/86.39 tff(18214,plain,
% 135.74/86.39 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18215,plain,
% 135.74/86.39 (^[VarNext: $i, VarCurr: $i] : rewrite(((v66(VarNext) | (~v26(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext)))),
% 135.74/86.39 inference(bind,[status(th)],[])).
% 135.74/86.39 tff(18216,plain,
% 135.74/86.39 (![VarNext: $i, VarCurr: $i] : ((v66(VarNext) | (~v26(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 135.74/86.39 inference(quant_intro,[status(thm)],[18215])).
% 135.74/86.39 tff(18217,axiom,(![VarNext: $i, VarCurr: $i] : ((v66(VarNext) | (~v26(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_4_1_1')).
% 135.74/86.39 tff(18218,plain,
% 135.74/86.39 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 135.74/86.39 tff(18219,plain,
% 135.74/86.39 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18218, 18214])).
% 135.74/86.39 tff(18220,plain,(
% 135.74/86.39 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 135.74/86.39 inference(skolemize,[status(sab)],[18219])).
% 135.74/86.39 tff(18221,plain,
% 135.74/86.39 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18220, 18213])).
% 135.74/86.39 tff(18222,plain,
% 135.74/86.39 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | ((~nextState(constB94, constB95)) | (~v26(constB94)) | v66(constB95))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | (~nextState(constB94, constB95)) | (~v26(constB94)) | v66(constB95))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18223,plain,
% 135.74/86.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | ((~nextState(constB94, constB95)) | (~v26(constB94)) | v66(constB95))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18224,plain,
% 135.74/86.39 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | (~nextState(constB94, constB95)) | (~v26(constB94)) | v66(constB95)),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18223, 18222])).
% 135.74/86.39 tff(18225,plain,
% 135.74/86.39 ((~v26(constB94)) | v66(constB95)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18224, 18221, 15622])).
% 135.74/86.39 tff(18226,plain,
% 135.74/86.39 (~v26(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18225, 18211])).
% 135.74/86.39 tff(18227,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB94)) | v26(constB94) | v106(constB94))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB94)) | v26(constB94) | v106(constB94))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18228,plain,
% 135.74/86.39 ((v26(constB94) | v106(constB94) | (~v102(constB94))) <=> ((~v102(constB94)) | v26(constB94) | v106(constB94))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18229,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB94) | v106(constB94) | (~v102(constB94)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB94)) | v26(constB94) | v106(constB94)))),
% 135.74/86.39 inference(monotonicity,[status(thm)],[18228])).
% 135.74/86.39 tff(18230,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB94) | v106(constB94) | (~v102(constB94)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB94)) | v26(constB94) | v106(constB94))),
% 135.74/86.39 inference(transitivity,[status(thm)],[18229, 18227])).
% 135.74/86.39 tff(18231,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB94) | v106(constB94) | (~v102(constB94)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18232,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB94)) | v26(constB94) | v106(constB94)),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18231, 18230])).
% 135.74/86.39 tff(18233,plain,
% 135.74/86.39 ((~v102(constB94)) | v106(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18232, 3146, 18226])).
% 135.74/86.39 tff(18234,plain,
% 135.74/86.39 (v106(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18233, 18178])).
% 135.74/86.39 tff(18235,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB94) | (~v106(constB94)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB94) | (~v106(constB94)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18236,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB94) | (~v106(constB94)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18237,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB94) | (~v106(constB94))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18236, 18235])).
% 135.74/86.39 tff(18238,plain,
% 135.74/86.39 (v107(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18237, 3161, 18234])).
% 135.74/86.39 tff(18239,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB94)) | (~v84(constB94, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB94)) | (~v84(constB94, bitIndex0)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18240,plain,
% 135.74/86.39 (((~v84(constB94, bitIndex0)) | (~v119(constB94))) <=> ((~v119(constB94)) | (~v84(constB94, bitIndex0)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18241,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB94, bitIndex0)) | (~v119(constB94)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB94)) | (~v84(constB94, bitIndex0))))),
% 135.74/86.39 inference(monotonicity,[status(thm)],[18240])).
% 135.74/86.39 tff(18242,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB94, bitIndex0)) | (~v119(constB94)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB94)) | (~v84(constB94, bitIndex0)))),
% 135.74/86.39 inference(transitivity,[status(thm)],[18241, 18239])).
% 135.74/86.39 tff(18243,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB94, bitIndex0)) | (~v119(constB94)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18244,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB94)) | (~v84(constB94, bitIndex0))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18243, 18242])).
% 135.74/86.39 tff(18245,plain,
% 135.74/86.39 (~v119(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18244, 3173, 17826])).
% 135.74/86.39 tff(18246,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB94) | v119(constB94) | (~v107(constB94)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB94) | v119(constB94) | (~v107(constB94)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18247,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB94) | v119(constB94) | (~v107(constB94)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18248,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB94) | v119(constB94) | (~v107(constB94))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18247, 18246])).
% 135.74/86.39 tff(18249,plain,
% 135.74/86.39 (v108(constB94) | (~v107(constB94))),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18248, 3195, 18245])).
% 135.74/86.39 tff(18250,plain,
% 135.74/86.39 (v108(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18249, 18238])).
% 135.74/86.39 tff(18251,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB94, bitIndex1)) | (~v118(constB94)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB94, bitIndex1)) | (~v118(constB94)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18252,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB94, bitIndex1)) | (~v118(constB94)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18253,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB94, bitIndex1)) | (~v118(constB94))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18252, 18251])).
% 135.74/86.39 tff(18254,plain,
% 135.74/86.39 (~v118(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18253, 2842, 15619])).
% 135.74/86.39 tff(18255,plain,
% 135.74/86.39 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB94) | v118(constB94) | (~v108(constB94)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB94) | v118(constB94) | (~v108(constB94)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18256,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB94) | v118(constB94) | (~v108(constB94)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18257,plain,
% 135.74/86.39 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB94) | v118(constB94) | (~v108(constB94))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18256, 18255])).
% 135.74/86.39 tff(18258,plain,
% 135.74/86.39 (v109(constB94) | (~v108(constB94))),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18257, 2856, 18254])).
% 135.74/86.39 tff(18259,plain,
% 135.74/86.39 ($false),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18258, 18250, 17870])).
% 135.74/86.39 tff(18260,plain,(v102(constB93) | (~v84(constB96, bitIndex0)) | v118(constB95) | v113(constB95) | v84(constB96, bitIndex1) | (~v84(constB94, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.74/86.39 tff(18261,plain,
% 135.74/86.39 (~v84(constB96, bitIndex0)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18260, 15982, 15214, 17812, 17825, 17804])).
% 135.74/86.39 tff(18262,assumption,(~v123(constB96, bitIndex2)), introduced(assumption)).
% 135.74/86.39 tff(18263,plain,
% 135.74/86.39 ($false),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17775, 1344, 767, 15438, 15540, 18262])).
% 135.74/86.39 tff(18264,plain,(v84(constB96, bitIndex0) | v123(constB96, bitIndex2) | v123(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.39 tff(18265,plain,
% 135.74/86.39 (v123(constB96, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18264, 18261, 17675])).
% 135.74/86.39 tff(18266,plain,
% 135.74/86.39 (v121(constB95, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17706, 18265])).
% 135.74/86.39 tff(18267,plain,
% 135.74/86.39 (v124(constB95, bitIndex2)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17698, 18266])).
% 135.74/86.39 tff(18268,plain,
% 135.74/86.39 (v116(constB95)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18171, 18267, 17825, 17818, 17817, 17816, 17812])).
% 135.74/86.39 tff(18269,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v116(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v116(constB95)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18270,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB95, bitIndex2)) | (~v116(constB95)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18271,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB95, bitIndex2)) | (~v116(constB95))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18270, 18269])).
% 135.74/86.39 tff(18272,plain,
% 135.74/86.39 ($false),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18271, 1130, 18268, 17660])).
% 135.74/86.39 tff(18273,plain,(v94(constB94) | v84(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.39 tff(18274,plain,
% 135.74/86.39 (v84(constB96, bitIndex1)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18273, 17511])).
% 135.74/86.39 tff(18275,plain,
% 135.74/86.39 (v84(constB95, bitIndex1)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[15642, 17635])).
% 135.74/86.39 tff(18276,plain,
% 135.74/86.39 (~v118(constB95)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17824, 18275])).
% 135.74/86.39 tff(18277,plain,
% 135.74/86.39 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v172(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v172(constB95)))),
% 135.74/86.39 inference(rewrite,[status(thm)],[])).
% 135.74/86.39 tff(18278,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v172(constB95)))),
% 135.74/86.39 inference(quant_inst,[status(thm)],[])).
% 135.74/86.39 tff(18279,plain,
% 135.74/86.39 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v172(constB95))),
% 135.74/86.39 inference(modus_ponens,[status(thm)],[18278, 18277])).
% 135.74/86.39 tff(18280,plain,
% 135.74/86.39 ($false),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18279, 2289, 15609, 15720])).
% 135.74/86.39 tff(18281,plain,((~v172(constB95)) | (~v84(constB95, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.74/86.39 tff(18282,plain,
% 135.74/86.39 (~v172(constB95)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18281, 18275])).
% 135.74/86.39 tff(18283,plain,
% 135.74/86.39 (~v113(constB95)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17811, 18275])).
% 135.74/86.39 tff(18284,plain,
% 135.74/86.39 (~v145(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17833, 816, 17635])).
% 135.74/86.39 tff(18285,plain,
% 135.74/86.39 (~v113(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17837, 1465, 17635])).
% 135.74/86.39 tff(18286,plain,
% 135.74/86.39 (~v112(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17844, 2894, 18285, 18284])).
% 135.74/86.39 tff(18287,plain,
% 135.74/86.39 (~v115(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17829, 3011, 17646])).
% 135.74/86.39 tff(18288,plain,
% 135.74/86.39 (~v111(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17848, 2911, 18287, 18286])).
% 135.74/86.39 tff(18289,plain,
% 135.74/86.39 (v111(constB94) | (~v110(constB94))),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17857, 2932, 17854])).
% 135.74/86.39 tff(18290,plain,
% 135.74/86.39 (~v110(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18289, 18288])).
% 135.74/86.39 tff(18291,plain,
% 135.74/86.39 (~v172(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17861, 2289, 17635])).
% 135.74/86.39 tff(18292,plain,
% 135.74/86.39 ((~v109(constB94)) | v110(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[17868, 2871, 18291])).
% 135.74/86.39 tff(18293,plain,
% 135.74/86.39 (~v109(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18292, 18290])).
% 135.74/86.39 tff(18294,plain,
% 135.74/86.39 (~v118(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18253, 2842, 17635])).
% 135.74/86.39 tff(18295,plain,
% 135.74/86.39 (v109(constB94) | (~v108(constB94))),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18257, 2856, 18294])).
% 135.74/86.39 tff(18296,plain,
% 135.74/86.39 (~v108(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18295, 18293])).
% 135.74/86.39 tff(18297,plain,
% 135.74/86.39 (~v119(constB94)),
% 135.74/86.39 inference(unit_resolution,[status(thm)],[18244, 3173, 17646])).
% 135.74/86.40 tff(18298,plain,
% 135.74/86.40 (v108(constB94) | (~v107(constB94))),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18248, 3195, 18297])).
% 135.74/86.40 tff(18299,plain,
% 135.74/86.40 (~v107(constB94)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18298, 18296])).
% 135.74/86.40 tff(18300,plain,
% 135.74/86.40 (~v106(constB94)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18237, 3161, 18299])).
% 135.74/86.40 tff(18301,plain,
% 135.74/86.40 (~v102(constB94)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18233, 18300])).
% 135.74/86.40 tff(18302,plain,
% 135.74/86.40 (~v84(constB96, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15543, 777, 767, 15182, 15194, 14929])).
% 135.74/86.40 tff(18303,plain,
% 135.74/86.40 (~v123(constB96, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15444, 1674, 767, 15438, 18302])).
% 135.74/86.40 tff(18304,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15448, 1708, 767, 15303, 18262, 17689])).
% 135.74/86.40 tff(18305,plain,(v123(constB96, bitIndex2) | (~v121(constB95, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18306,plain,
% 135.74/86.40 (~v121(constB95, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18305, 18303])).
% 135.74/86.40 tff(18307,plain,
% 135.74/86.40 (~v124(constB95, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15459, 1728, 767, 15453, 18306])).
% 135.74/86.40 tff(18308,plain,
% 135.74/86.40 ((~v94(constB96)) | v84(constB96, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15512, 1674, 795, 16727])).
% 135.74/86.40 tff(18309,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18308, 15438, 15287])).
% 135.74/86.40 tff(18310,plain,(v84(constB96, bitIndex0) | (~v123(constB96, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18311,plain,
% 135.74/86.40 (~v123(constB96, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18310, 15287])).
% 135.74/86.40 tff(18312,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15516, 1708, 795, 15303, 17755, 17761])).
% 135.74/86.40 tff(18313,plain,(v123(constB96, bitIndex0) | (~v121(constB95, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18314,plain,
% 135.74/86.40 (~v121(constB95, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18313, 18311])).
% 135.74/86.40 tff(18315,plain,
% 135.74/86.40 (~v124(constB95, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15523, 1728, 795, 15453, 18314])).
% 135.74/86.40 tff(18316,plain,
% 135.74/86.40 (v115(constB95)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15537, 1213, 1210, 795, 15664, 15726, 15725, 18163, 17875, 17756])).
% 135.74/86.40 tff(18317,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18318,plain,
% 135.74/86.40 (((~v115(constB95)) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18319,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB95)) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0)))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18318])).
% 135.74/86.40 tff(18320,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB95)) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18319, 18317])).
% 135.74/86.40 tff(18321,plain,
% 135.74/86.40 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB95)) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b011(bitIndex0)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18322,plain,
% 135.74/86.40 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0)),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18321, 18320])).
% 135.74/86.40 tff(18323,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18322, 1148, 1193, 795, 18316, 17756])).
% 135.74/86.40 tff(18324,plain,(v124(constB95, bitIndex0) | v145(constB95) | v172(constB95) | v118(constB95) | v116(constB95) | v113(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18325,plain,
% 135.74/86.40 (v116(constB95)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18324, 18315, 15664, 15725, 15726, 17875])).
% 135.74/86.40 tff(18326,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15473, 1772, 1769, 767, 18325, 18307])).
% 135.74/86.40 tff(18327,plain,(v84(constB96, bitIndex0) | v145(constB95) | v118(constB95) | v172(constB95) | v113(constB95) | v84(constB97, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18328,plain,
% 135.74/86.40 (v84(constB96, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18327, 14929, 15725, 15726, 17875, 15664])).
% 135.74/86.40 tff(18329,plain,
% 135.74/86.40 (v84(constB96, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18158, 18302, 17891, 17883, 18328])).
% 135.74/86.40 tff(18330,plain,
% 135.74/86.40 (v94(constB96)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15701, 18302, 15664])).
% 135.74/86.40 tff(18331,plain,
% 135.74/86.40 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB96)) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB96)) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18332,plain,
% 135.74/86.40 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB96)) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18333,plain,
% 135.74/86.40 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB96)) | (~v84(constB96, bitIndex1)) | v123(constB96, bitIndex1)),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18332, 18331])).
% 135.74/86.40 tff(18334,plain,
% 135.74/86.40 (v123(constB96, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18333, 1344, 823, 18330, 18329])).
% 135.74/86.40 tff(18335,plain,
% 135.74/86.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v121(constB95, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v121(constB95, bitIndex1))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18336,plain,
% 135.74/86.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB95, constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v121(constB95, bitIndex1))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18337,plain,
% 135.74/86.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB95, constB96)) | (~less_3(bitIndex1)) | (~v123(constB96, bitIndex1)) | v121(constB95, bitIndex1)),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18336, 18335])).
% 135.74/86.40 tff(18338,plain,
% 135.74/86.40 (v121(constB95, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18337, 1362, 823, 15303, 18334])).
% 135.74/86.40 tff(18339,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18340,plain,
% 135.74/86.40 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB95) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18341,plain,
% 135.74/86.40 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB95) | (~less_3(bitIndex1)) | v124(constB95, bitIndex1) | (~v121(constB95, bitIndex1))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18340, 18339])).
% 135.74/86.40 tff(18342,plain,
% 135.74/86.40 (v124(constB95, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18341, 1380, 823, 15453, 18338])).
% 135.74/86.40 tff(18343,plain,
% 135.74/86.40 ((~v94(constB96)) | v123(constB96, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[16724, 1344, 795, 18328])).
% 135.74/86.40 tff(18344,plain,
% 135.74/86.40 (v123(constB96, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18343, 18330])).
% 135.74/86.40 tff(18345,plain,
% 135.74/86.40 (v121(constB95, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[16732, 18344])).
% 135.74/86.40 tff(18346,plain,
% 135.74/86.40 (v124(constB95, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[16752, 1380, 795, 15453, 18345])).
% 135.74/86.40 tff(18347,plain,
% 135.74/86.40 (~v116(constB95)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18053, 2386, 2164, 795, 18346])).
% 135.74/86.40 tff(18348,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex1)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18349,plain,
% 135.74/86.40 ((v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex1)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18350,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex1))))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18349])).
% 135.74/86.40 tff(18351,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex1)))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18350, 18348])).
% 135.74/86.40 tff(18352,plain,
% 135.74/86.40 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB95) | v145(constB95) | v115(constB95) | v116(constB95) | v172(constB95) | v118(constB95) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b001(bitIndex1))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18353,plain,
% 135.74/86.40 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB95) | v172(constB95) | v116(constB95) | v115(constB95) | v145(constB95) | v113(constB95) | (~v124(constB95, bitIndex1))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18352, 18351])).
% 135.74/86.40 tff(18354,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18353, 2601, 2424, 823, 15664, 15726, 15725, 18347, 17875, 17882, 18342])).
% 135.74/86.40 tff(18355,plain,(v84(constB97, bitIndex2) | v145(constB95) | v172(constB95) | v118(constB95) | v113(constB95) | v115(constB95) | v102(constB94)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18356,plain,
% 135.74/86.40 (v84(constB97, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18355, 18301, 18276, 17651, 18282, 17658, 18283])).
% 135.74/86.40 tff(18357,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[17771, 805, 767, 15182, 15194, 15298, 14881])).
% 135.74/86.40 tff(18358,plain,((~v84(constB97, bitIndex2)) | v84(constB96, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18359,plain,
% 135.74/86.40 (v84(constB96, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18358, 18356])).
% 135.74/86.40 tff(18360,plain,
% 135.74/86.40 ((~v94(constB96)) | v123(constB96, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18333, 1344, 823, 15179])).
% 135.74/86.40 tff(18361,plain,
% 135.74/86.40 (v123(constB96, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18360, 15211])).
% 135.74/86.40 tff(18362,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18337, 1362, 823, 15303, 15213, 16760])).
% 135.74/86.40 tff(18363,plain,(v121(constB95, bitIndex1) | (~v123(constB96, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18364,plain,
% 135.74/86.40 (v121(constB95, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18363, 18361])).
% 135.74/86.40 tff(18365,assumption,(v84(constB96, bitIndex2)), introduced(assumption)).
% 135.74/86.40 tff(18366,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[17775, 1344, 767, 15211, 18365, 18262])).
% 135.74/86.40 tff(18367,plain,((~v84(constB96, bitIndex2)) | (~v94(constB96)) | v123(constB96, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18368,plain,
% 135.74/86.40 (v123(constB96, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18367, 15211, 18365])).
% 135.74/86.40 tff(18369,plain,
% 135.74/86.40 (v121(constB95, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[17706, 18368])).
% 135.74/86.40 tff(18370,plain,
% 135.74/86.40 (v124(constB95, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[17698, 18369])).
% 135.74/86.40 tff(18371,plain,
% 135.74/86.40 (v116(constB95)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18171, 18370, 15725, 15664, 15726, 17882, 17875])).
% 135.74/86.40 tff(18372,assumption,(v116(constB95)), introduced(assumption)).
% 135.74/86.40 tff(18373,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB95)) | (~v124(constB95, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB95)) | (~v124(constB95, bitIndex1)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18374,plain,
% 135.74/86.40 (((~v116(constB95)) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB95)) | (~v124(constB95, bitIndex1)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18375,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB95)) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB95)) | (~v124(constB95, bitIndex1))))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18374])).
% 135.74/86.40 tff(18376,plain,
% 135.74/86.40 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB95)) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB95)) | (~v124(constB95, bitIndex1)))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18375, 18373])).
% 135.74/86.40 tff(18377,plain,
% 135.74/86.40 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB95)) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b100(bitIndex1))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18378,plain,
% 135.74/86.40 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB95)) | (~v124(constB95, bitIndex1))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18377, 18376])).
% 135.74/86.40 tff(18379,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18378, 2167, 2164, 823, 18372, 16761])).
% 135.74/86.40 tff(18380,plain,((~v124(constB95, bitIndex1)) | (~v116(constB95))), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18381,plain,
% 135.74/86.40 (~v124(constB95, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18380, 18371])).
% 135.74/86.40 tff(18382,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18341, 1380, 823, 15453, 18381, 18364])).
% 135.74/86.40 tff(18383,plain,((~v94(constB96)) | v118(constB95) | v145(constB95) | v172(constB95) | v115(constB95) | v113(constB95) | (~v84(constB96, bitIndex1)) | (~v84(constB96, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18384,plain,
% 135.74/86.40 (~v94(constB96)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18383, 18359, 18283, 18282, 18276, 18274, 17658, 17651])).
% 135.74/86.40 tff(18385,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15669, 15705, 15299])).
% 135.74/86.40 tff(18386,plain,(v94(constB96) | v84(constB96, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18387,plain,
% 135.74/86.40 (v84(constB96, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18386, 15299])).
% 135.74/86.40 tff(18388,plain,
% 135.74/86.40 (v84(constB96, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[17505, 15299])).
% 135.74/86.40 tff(18389,plain,
% 135.74/86.40 (v84(constB97, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15199, 18388])).
% 135.74/86.40 tff(18390,plain,
% 135.74/86.40 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB97)) | (~v84(constB97, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB97)) | (~v84(constB97, bitIndex1)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18391,plain,
% 135.74/86.40 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB97)) | (~v84(constB97, bitIndex1)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18392,plain,
% 135.74/86.40 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB97)) | (~v84(constB97, bitIndex1))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18391, 18390])).
% 135.74/86.40 tff(18393,plain,
% 135.74/86.40 (~v113(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18392, 1465, 18389])).
% 135.74/86.40 tff(18394,plain,
% 135.74/86.40 (~v145(constB95)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15654, 713, 15386])).
% 135.74/86.40 tff(18395,plain,
% 135.74/86.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB97)) | (~v84(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB97)) | (~v84(constB97, bitIndex2)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18396,plain,
% 135.74/86.40 (((~v84(constB97, bitIndex2)) | (~v145(constB97))) <=> ((~v145(constB97)) | (~v84(constB97, bitIndex2)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18397,plain,
% 135.74/86.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB97)) | (~v84(constB97, bitIndex2))))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18396])).
% 135.74/86.40 tff(18398,plain,
% 135.74/86.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB97)) | (~v84(constB97, bitIndex2)))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18397, 18395])).
% 135.74/86.40 tff(18399,plain,
% 135.74/86.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v145(constB97)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18400,plain,
% 135.74/86.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB97)) | (~v84(constB97, bitIndex2))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 135.74/86.40 tff(18401,plain,
% 135.74/86.40 (~v84(constB97, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18400, 725, 14843])).
% 135.74/86.40 tff(18402,plain,
% 135.74/86.40 (~v84(constB96, bitIndex2)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15543, 777, 767, 15182, 15194, 18401])).
% 135.74/86.40 tff(18403,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB97)) | v84(constB97, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB97)) | v84(constB97, bitIndex0))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18404,plain,
% 135.74/86.40 ((v84(constB97, bitIndex0) | (~v145(constB97))) <=> ((~v145(constB97)) | v84(constB97, bitIndex0))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18405,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB97, bitIndex0) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB97)) | v84(constB97, bitIndex0)))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18404])).
% 135.74/86.40 tff(18406,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB97, bitIndex0) | (~v145(constB97)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB97)) | v84(constB97, bitIndex0))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18405, 18403])).
% 135.74/86.40 tff(18407,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB97, bitIndex0) | (~v145(constB97)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18408,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB97)) | v84(constB97, bitIndex0)),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18407, 18406])).
% 135.74/86.40 tff(18409,plain,
% 135.74/86.40 (v84(constB97, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18408, 788, 14843])).
% 135.74/86.40 tff(18410,plain,
% 135.74/86.40 (v84(constB96, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15290, 805, 795, 15182, 15194, 18409])).
% 135.74/86.40 tff(18411,plain,
% 135.74/86.40 (~v84(constB97, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[14849, 816, 14843])).
% 135.74/86.40 tff(18412,plain,
% 135.74/86.40 (~v84(constB96, bitIndex1)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15197, 777, 823, 15182, 15194, 18411])).
% 135.74/86.40 tff(18413,plain,
% 135.74/86.40 ($false),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15679, 18412, 18410, 15299, 18402, 18394])).
% 135.74/86.40 tff(18414,plain,((~v145(constB97)) | v94(constB96)), inference(lemma,lemma(discharge,[]))).
% 135.74/86.40 tff(18415,plain,
% 135.74/86.40 (~v145(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18414, 15299])).
% 135.74/86.40 tff(18416,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB97) | (~v112(constB97)) | v113(constB97))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB97) | (~v112(constB97)) | v113(constB97))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18417,plain,
% 135.74/86.40 ((v113(constB97) | (~v112(constB97)) | v145(constB97)) <=> (v145(constB97) | (~v112(constB97)) | v113(constB97))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18418,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB97) | (~v112(constB97)) | v145(constB97))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB97) | (~v112(constB97)) | v113(constB97)))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18417])).
% 135.74/86.40 tff(18419,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB97) | (~v112(constB97)) | v145(constB97))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB97) | (~v112(constB97)) | v113(constB97))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18418, 18416])).
% 135.74/86.40 tff(18420,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB97) | (~v112(constB97)) | v145(constB97))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18421,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB97) | (~v112(constB97)) | v113(constB97)),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18420, 18419])).
% 135.74/86.40 tff(18422,plain,
% 135.74/86.40 ((~v112(constB97)) | v113(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18421, 2894, 18415])).
% 135.74/86.40 tff(18423,plain,
% 135.74/86.40 (~v112(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18422, 18393])).
% 135.74/86.40 tff(18424,plain,
% 135.74/86.40 (v84(constB97, bitIndex0)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15552, 15656])).
% 135.74/86.40 tff(18425,plain,
% 135.74/86.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v115(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB97, bitIndex0)) | (~v115(constB97)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18426,plain,
% 135.74/86.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v115(constB97)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18427,plain,
% 135.74/86.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB97, bitIndex0)) | (~v115(constB97))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18426, 18425])).
% 135.74/86.40 tff(18428,plain,
% 135.74/86.40 (~v115(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18427, 3011, 18424])).
% 135.74/86.40 tff(18429,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB97) | v115(constB97) | (~v111(constB97)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB97) | v115(constB97) | (~v111(constB97)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18430,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB97) | v115(constB97) | (~v111(constB97)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18431,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB97) | v115(constB97) | (~v111(constB97))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18430, 18429])).
% 135.74/86.40 tff(18432,plain,
% 135.74/86.40 (~v111(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18431, 2911, 18428, 18423])).
% 135.74/86.40 tff(18433,plain,
% 135.74/86.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB97)) | (~v84(constB97, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB97)) | (~v84(constB97, bitIndex0)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18434,plain,
% 135.74/86.40 (((~v84(constB97, bitIndex0)) | (~v119(constB97))) <=> ((~v119(constB97)) | (~v84(constB97, bitIndex0)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18435,plain,
% 135.74/86.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v119(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB97)) | (~v84(constB97, bitIndex0))))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18434])).
% 135.74/86.40 tff(18436,plain,
% 135.74/86.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v119(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB97)) | (~v84(constB97, bitIndex0)))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18435, 18433])).
% 135.74/86.40 tff(18437,plain,
% 135.74/86.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB97, bitIndex0)) | (~v119(constB97)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18438,plain,
% 135.74/86.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB97)) | (~v84(constB97, bitIndex0))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 135.74/86.40 tff(18439,plain,
% 135.74/86.40 (~v119(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18438, 3173, 18424])).
% 135.74/86.40 tff(18440,plain,
% 135.74/86.40 (v94(constB98)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[15171, 18424, 15163])).
% 135.74/86.40 tff(18441,plain,
% 135.74/86.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v94(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v94(constB98)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18442,plain,
% 135.74/86.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB97, constB98)) | v104(constB98) | (~v94(constB98)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18443,plain,
% 135.74/86.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB97, constB98)) | v104(constB98) | (~v94(constB98))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18442, 18441])).
% 135.74/86.40 tff(18444,plain,
% 135.74/86.40 (v104(constB98) | (~v94(constB98))),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18443, 3113, 14884])).
% 135.74/86.40 tff(18445,plain,
% 135.74/86.40 (v104(constB98)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18444, 18440])).
% 135.74/86.40 tff(18446,plain,
% 135.74/86.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB97, constB98)) | (~v104(constB98)) | v102(constB97))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB97, constB98)) | (~v104(constB98)) | v102(constB97))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18447,plain,
% 135.74/86.40 (((~nextState(constB97, constB98)) | v102(constB97) | (~v104(constB98))) <=> ((~nextState(constB97, constB98)) | (~v104(constB98)) | v102(constB97))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18448,plain,
% 135.74/86.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB97, constB98)) | v102(constB97) | (~v104(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB97, constB98)) | (~v104(constB98)) | v102(constB97)))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18447])).
% 135.74/86.40 tff(18449,plain,
% 135.74/86.40 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB97, constB98)) | v102(constB97) | (~v104(constB98)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB97, constB98)) | (~v104(constB98)) | v102(constB97))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18448, 18446])).
% 135.74/86.40 tff(18450,plain,
% 135.74/86.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB97, constB98)) | v102(constB97) | (~v104(constB98)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18451,plain,
% 135.74/86.40 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB97, constB98)) | (~v104(constB98)) | v102(constB97)),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18450, 18449])).
% 135.74/86.40 tff(18452,plain,
% 135.74/86.40 ((~v104(constB98)) | v102(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18451, 3128, 14884])).
% 135.74/86.40 tff(18453,plain,
% 135.74/86.40 (v102(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18452, 18445])).
% 135.74/86.40 tff(18454,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB97)) | v26(constB97) | v106(constB97))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB97)) | v26(constB97) | v106(constB97))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18455,plain,
% 135.74/86.40 ((v26(constB97) | v106(constB97) | (~v102(constB97))) <=> ((~v102(constB97)) | v26(constB97) | v106(constB97))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18456,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB97) | v106(constB97) | (~v102(constB97)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB97)) | v26(constB97) | v106(constB97)))),
% 135.74/86.40 inference(monotonicity,[status(thm)],[18455])).
% 135.74/86.40 tff(18457,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB97) | v106(constB97) | (~v102(constB97)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB97)) | v26(constB97) | v106(constB97))),
% 135.74/86.40 inference(transitivity,[status(thm)],[18456, 18454])).
% 135.74/86.40 tff(18458,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB97) | v106(constB97) | (~v102(constB97)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18459,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB97)) | v26(constB97) | v106(constB97)),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18458, 18457])).
% 135.74/86.40 tff(18460,plain,
% 135.74/86.40 ((~v102(constB97)) | v106(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18459, 3146, 14996])).
% 135.74/86.40 tff(18461,plain,
% 135.74/86.40 (v106(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18460, 18453])).
% 135.74/86.40 tff(18462,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB97) | (~v106(constB97)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB97) | (~v106(constB97)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18463,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB97) | (~v106(constB97)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18464,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB97) | (~v106(constB97))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18463, 18462])).
% 135.74/86.40 tff(18465,plain,
% 135.74/86.40 (v107(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18464, 3161, 18461])).
% 135.74/86.40 tff(18466,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB97) | v119(constB97) | (~v107(constB97)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB97) | v119(constB97) | (~v107(constB97)))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18467,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB97) | v119(constB97) | (~v107(constB97)))),
% 135.74/86.40 inference(quant_inst,[status(thm)],[])).
% 135.74/86.40 tff(18468,plain,
% 135.74/86.40 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB97) | v119(constB97) | (~v107(constB97))),
% 135.74/86.40 inference(modus_ponens,[status(thm)],[18467, 18466])).
% 135.74/86.40 tff(18469,plain,
% 135.74/86.40 (v108(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[18468, 3195, 18465, 18439])).
% 135.74/86.40 tff(18470,plain,
% 135.74/86.40 (~v172(constB97)),
% 135.74/86.40 inference(unit_resolution,[status(thm)],[16711, 7708, 18424])).
% 135.74/86.40 tff(18471,assumption,(~v110(constB97)), introduced(assumption)).
% 135.74/86.40 tff(18472,plain,
% 135.74/86.40 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB97)) | v172(constB97) | v110(constB97))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB97)) | v172(constB97) | v110(constB97))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.74/86.40 tff(18473,plain,
% 135.74/86.40 ((v110(constB97) | (~v109(constB97)) | v172(constB97)) <=> ((~v109(constB97)) | v172(constB97) | v110(constB97))),
% 135.74/86.40 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18474,plain,
% 135.77/86.41 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB97) | (~v109(constB97)) | v172(constB97))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB97)) | v172(constB97) | v110(constB97)))),
% 135.77/86.41 inference(monotonicity,[status(thm)],[18473])).
% 135.77/86.41 tff(18475,plain,
% 135.77/86.41 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB97) | (~v109(constB97)) | v172(constB97))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB97)) | v172(constB97) | v110(constB97))),
% 135.77/86.41 inference(transitivity,[status(thm)],[18474, 18472])).
% 135.77/86.41 tff(18476,plain,
% 135.77/86.41 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB97) | (~v109(constB97)) | v172(constB97))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18477,plain,
% 135.77/86.41 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB97)) | v172(constB97) | v110(constB97)),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18476, 18475])).
% 135.77/86.41 tff(18478,plain,
% 135.77/86.41 ((~v109(constB97)) | v172(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18477, 2871, 18471])).
% 135.77/86.41 tff(18479,plain,
% 135.77/86.41 (~v109(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18478, 18470])).
% 135.77/86.41 tff(18480,plain,
% 135.77/86.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v118(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v118(constB97)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18481,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v118(constB97)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18482,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v118(constB97))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 135.77/86.41 tff(18483,plain,
% 135.77/86.41 (~v118(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18482, 2842, 18389])).
% 135.77/86.41 tff(18484,plain,
% 135.77/86.41 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB97) | v118(constB97) | (~v108(constB97)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB97) | v118(constB97) | (~v108(constB97)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18485,plain,
% 135.77/86.41 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB97) | v118(constB97) | (~v108(constB97)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18486,plain,
% 135.77/86.41 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB97) | v118(constB97) | (~v108(constB97))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18485, 18484])).
% 135.77/86.41 tff(18487,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18486, 2856, 18483, 18479, 18469])).
% 135.77/86.41 tff(18488,plain,(v94(constB96) | v110(constB97) | v84(constB98, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18489,plain,
% 135.77/86.41 (v110(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18488, 15299, 15163])).
% 135.77/86.41 tff(18490,plain,
% 135.77/86.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v116(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB97, bitIndex2)) | (~v116(constB97)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18491,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v116(constB97)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18492,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB97, bitIndex2)) | (~v116(constB97))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18491, 18490])).
% 135.77/86.41 tff(18493,plain,
% 135.77/86.41 (~v116(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18492, 1130, 14881])).
% 135.77/86.41 tff(18494,plain,
% 135.77/86.41 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB97) | v116(constB97) | (~v110(constB97)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB97) | v116(constB97) | (~v110(constB97)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18495,plain,
% 135.77/86.41 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB97) | v116(constB97) | (~v110(constB97)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18496,plain,
% 135.77/86.41 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB97) | v116(constB97) | (~v110(constB97))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18495, 18494])).
% 135.77/86.41 tff(18497,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18496, 2932, 18493, 18489, 18432])).
% 135.77/86.41 tff(18498,plain,(v94(constB96) | (~v84(constB97, bitIndex2)) | v84(constB98, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18499,plain,
% 135.77/86.41 (~v84(constB97, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18498, 15299, 15163])).
% 135.77/86.41 tff(18500,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15543, 777, 767, 15182, 15194, 18365, 14929])).
% 135.77/86.41 tff(18501,plain,((~v84(constB96, bitIndex2)) | v84(constB97, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18502,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18501, 18499, 18387])).
% 135.77/86.41 tff(18503,plain,(v94(constB96) | v84(constB98, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18504,plain,
% 135.77/86.41 (v84(constB98, bitIndex0)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18503, 18384])).
% 135.77/86.41 tff(18505,plain,
% 135.77/86.41 (v84(constB99, bitIndex0)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15161, 18504])).
% 135.77/86.41 tff(18506,plain,
% 135.77/86.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB99, bitIndex0)) | (~v172(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB99, bitIndex0)) | (~v172(constB99)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18507,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB99, bitIndex0)) | (~v172(constB99)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18508,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB99, bitIndex0)) | (~v172(constB99))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18507, 18506])).
% 135.77/86.41 tff(18509,plain,
% 135.77/86.41 (~v172(constB99)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18508, 7708, 18505])).
% 135.77/86.41 tff(18510,plain,
% 135.77/86.41 (v94(constB98)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15043, 14880])).
% 135.77/86.41 tff(18511,assumption,(v123(constB98, bitIndex2)), introduced(assumption)).
% 135.77/86.41 tff(18512,plain,
% 135.77/86.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB98)) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18513,plain,
% 135.77/86.41 (((~less_3(bitIndex2)) | (~v94(constB98)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2))) <=> ((~v94(constB98)) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18514,plain,
% 135.77/86.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB98)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB98)) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2))))),
% 135.77/86.41 inference(monotonicity,[status(thm)],[18513])).
% 135.77/86.41 tff(18515,plain,
% 135.77/86.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB98)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 135.77/86.41 inference(transitivity,[status(thm)],[18514, 18512])).
% 135.77/86.41 tff(18516,plain,
% 135.77/86.41 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB98)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18517,plain,
% 135.77/86.41 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex2)) | v84(constB98, bitIndex2) | (~v123(constB98, bitIndex2))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18516, 18515])).
% 135.77/86.41 tff(18518,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18517, 1674, 767, 15246, 14880, 18511])).
% 135.77/86.41 tff(18519,plain,(v84(constB98, bitIndex2) | (~v94(constB98)) | (~v123(constB98, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18520,plain,
% 135.77/86.41 (~v123(constB98, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18519, 14880, 18510])).
% 135.77/86.41 tff(18521,assumption,(~v123(constB98, bitIndex2)), introduced(assumption)).
% 135.77/86.41 tff(18522,assumption,(v121(constB97, bitIndex2)), introduced(assumption)).
% 135.77/86.41 tff(18523,plain,
% 135.77/86.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex2)) | v123(constB98, bitIndex2) | (~v121(constB97, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex2)) | v123(constB98, bitIndex2) | (~v121(constB97, bitIndex2)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18524,plain,
% 135.77/86.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex2)) | v123(constB98, bitIndex2) | (~v121(constB97, bitIndex2)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18525,plain,
% 135.77/86.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex2)) | v123(constB98, bitIndex2) | (~v121(constB97, bitIndex2))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18524, 18523])).
% 135.77/86.41 tff(18526,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18525, 1708, 767, 14884, 18522, 18521])).
% 135.77/86.41 tff(18527,plain,(v123(constB98, bitIndex2) | (~v121(constB97, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18528,plain,
% 135.77/86.41 (~v121(constB97, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18527, 18520])).
% 135.77/86.41 tff(18529,assumption,(~v121(constB97, bitIndex2)), introduced(assumption)).
% 135.77/86.41 tff(18530,assumption,(v124(constB97, bitIndex2)), introduced(assumption)).
% 135.77/86.41 tff(18531,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex2)) | v121(constB97, bitIndex2) | (~v124(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex2)) | v121(constB97, bitIndex2) | (~v124(constB97, bitIndex2)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18532,plain,
% 135.77/86.41 ((v26(constB97) | v121(constB97, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2))) <=> (v26(constB97) | (~less_3(bitIndex2)) | v121(constB97, bitIndex2) | (~v124(constB97, bitIndex2)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18533,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex2)) | v121(constB97, bitIndex2) | (~v124(constB97, bitIndex2))))),
% 135.77/86.41 inference(monotonicity,[status(thm)],[18532])).
% 135.77/86.41 tff(18534,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex2)) | v121(constB97, bitIndex2) | (~v124(constB97, bitIndex2)))),
% 135.77/86.41 inference(transitivity,[status(thm)],[18533, 18531])).
% 135.77/86.41 tff(18535,plain,
% 135.77/86.41 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18536,plain,
% 135.77/86.41 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex2)) | v121(constB97, bitIndex2) | (~v124(constB97, bitIndex2))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18535, 18534])).
% 135.77/86.41 tff(18537,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18536, 1728, 767, 14996, 18530, 18529])).
% 135.77/86.41 tff(18538,plain,(v121(constB97, bitIndex2) | (~v124(constB97, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18539,plain,
% 135.77/86.41 (~v124(constB97, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18538, 18528])).
% 135.77/86.41 tff(18540,assumption,(~v124(constB97, bitIndex2)), introduced(assumption)).
% 135.77/86.41 tff(18541,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB97)) | v124(constB97, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18542,plain,
% 135.77/86.41 (((~v172(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18543,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB97)) | v124(constB97, bitIndex2)))),
% 135.77/86.41 inference(monotonicity,[status(thm)],[18542])).
% 135.77/86.41 tff(18544,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(transitivity,[status(thm)],[18543, 18541])).
% 135.77/86.41 tff(18545,plain,
% 135.77/86.41 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b110(bitIndex2)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18546,plain,
% 135.77/86.41 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB97)) | v124(constB97, bitIndex2)),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18545, 18544])).
% 135.77/86.41 tff(18547,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18546, 2066, 1798, 767, 15276, 18540])).
% 135.77/86.41 tff(18548,plain,(v124(constB97, bitIndex2) | (~v172(constB97))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18549,plain,
% 135.77/86.41 (~v172(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18548, 18539])).
% 135.77/86.41 tff(18550,plain,
% 135.77/86.41 (v84(constB95, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15642, 15619])).
% 135.77/86.41 tff(18551,plain,
% 135.77/86.41 (~v113(constB95)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17811, 18550])).
% 135.77/86.41 tff(18552,plain,
% 135.77/86.41 (~v172(constB95)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18279, 2289, 18550])).
% 135.77/86.41 tff(18553,plain,
% 135.77/86.41 (v84(constB94, bitIndex0)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17645, 15619, 17509, 17636])).
% 135.77/86.41 tff(18554,plain,
% 135.77/86.41 (v84(constB95, bitIndex0)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[16697, 18553])).
% 135.77/86.41 tff(18555,plain,
% 135.77/86.41 (~v115(constB95)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17650, 3011, 18554])).
% 135.77/86.41 tff(18556,plain,
% 135.77/86.41 (~v118(constB95)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17824, 18550])).
% 135.77/86.41 tff(18557,plain,
% 135.77/86.41 (~v115(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17829, 3011, 18553])).
% 135.77/86.41 tff(18558,plain,
% 135.77/86.41 (~v111(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17848, 2911, 18557, 17845])).
% 135.77/86.41 tff(18559,plain,
% 135.77/86.41 (~v110(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18289, 18558])).
% 135.77/86.41 tff(18560,plain,
% 135.77/86.41 (~v109(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17869, 18559])).
% 135.77/86.41 tff(18561,plain,
% 135.77/86.41 (~v108(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18258, 18560])).
% 135.77/86.41 tff(18562,plain,
% 135.77/86.41 (~v119(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18244, 3173, 18553])).
% 135.77/86.41 tff(18563,plain,
% 135.77/86.41 (v108(constB94) | (~v107(constB94))),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18248, 3195, 18562])).
% 135.77/86.41 tff(18564,plain,
% 135.77/86.41 (~v107(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18563, 18561])).
% 135.77/86.41 tff(18565,plain,
% 135.77/86.41 (~v106(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18237, 3161, 18564])).
% 135.77/86.41 tff(18566,plain,
% 135.77/86.41 (~v102(constB94)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18233, 18565])).
% 135.77/86.41 tff(18567,plain,
% 135.77/86.41 (v84(constB97, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18355, 18566, 18556, 18555, 18552, 17658, 18551])).
% 135.77/86.41 tff(18568,plain,
% 135.77/86.41 (v84(constB97, bitIndex0)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15295, 15178, 18567, 15286])).
% 135.77/86.41 tff(18569,plain,
% 135.77/86.41 (~v84(constB96, bitIndex0)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18260, 15212, 17509, 18551, 18556, 15619])).
% 135.77/86.41 tff(18570,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15292, 18569, 18568])).
% 135.77/86.41 tff(18571,plain,(v84(constB97, bitIndex1) | v102(constB93) | (~v84(constB94, bitIndex1)) | v172(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18572,plain,
% 135.77/86.41 (v84(constB97, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18571, 18549, 15619, 17509])).
% 135.77/86.41 tff(18573,plain,
% 135.77/86.41 (~v145(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[14849, 816, 18572])).
% 135.77/86.41 tff(18574,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB97)) | v124(constB97, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18575,plain,
% 135.77/86.41 (((~v113(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18576,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB97)) | v124(constB97, bitIndex2)))),
% 135.77/86.41 inference(monotonicity,[status(thm)],[18575])).
% 135.77/86.41 tff(18577,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(transitivity,[status(thm)],[18576, 18574])).
% 135.77/86.41 tff(18578,plain,
% 135.77/86.41 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b100(bitIndex2)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18579,plain,
% 135.77/86.41 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB97)) | v124(constB97, bitIndex2)),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18578, 18577])).
% 135.77/86.41 tff(18580,plain,
% 135.77/86.41 (~v113(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18579, 1772, 1838, 767, 18539])).
% 135.77/86.41 tff(18581,plain,
% 135.77/86.41 (v145(constB97) | (~v112(constB97))),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18421, 2894, 18580])).
% 135.77/86.41 tff(18582,plain,
% 135.77/86.41 (~v112(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18581, 18573])).
% 135.77/86.41 tff(18583,plain,
% 135.77/86.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v115(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB97, bitIndex2)) | (~v115(constB97)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18584,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB97, bitIndex2)) | (~v115(constB97)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18585,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB97, bitIndex2)) | (~v115(constB97))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18584, 18583])).
% 135.77/86.41 tff(18586,plain,
% 135.77/86.41 (~v115(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18585, 2665, 18567])).
% 135.77/86.41 tff(18587,plain,
% 135.77/86.41 (~v111(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18431, 2911, 18586, 18582])).
% 135.77/86.41 tff(18588,assumption,(v116(constB97)), introduced(assumption)).
% 135.77/86.41 tff(18589,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB97)) | v124(constB97, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18590,plain,
% 135.77/86.41 (((~v116(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18591,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB97)) | v124(constB97, bitIndex2)))),
% 135.77/86.41 inference(monotonicity,[status(thm)],[18590])).
% 135.77/86.41 tff(18592,plain,
% 135.77/86.41 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB97)) | v124(constB97, bitIndex2))),
% 135.77/86.41 inference(transitivity,[status(thm)],[18591, 18589])).
% 135.77/86.41 tff(18593,plain,
% 135.77/86.41 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB97)) | (~less_3(bitIndex2)) | v124(constB97, bitIndex2) | (~b100(bitIndex2)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18594,plain,
% 135.77/86.41 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB97)) | v124(constB97, bitIndex2)),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18593, 18592])).
% 135.77/86.41 tff(18595,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18594, 1772, 1769, 767, 18588, 18540])).
% 135.77/86.41 tff(18596,plain,(v124(constB97, bitIndex2) | (~v116(constB97))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18597,plain,
% 135.77/86.41 (~v116(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18596, 18539])).
% 135.77/86.41 tff(18598,plain,
% 135.77/86.41 (v111(constB97) | (~v110(constB97))),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18496, 2932, 18597])).
% 135.77/86.41 tff(18599,plain,
% 135.77/86.41 (~v110(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18598, 18587])).
% 135.77/86.41 tff(18600,plain,
% 135.77/86.41 ((~v109(constB97)) | v110(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18477, 2871, 18549])).
% 135.77/86.41 tff(18601,plain,
% 135.77/86.41 (~v109(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18600, 18599])).
% 135.77/86.41 tff(18602,plain,
% 135.77/86.41 (~v118(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18482, 2842, 18572])).
% 135.77/86.41 tff(18603,plain,
% 135.77/86.41 (v109(constB97) | (~v108(constB97))),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18486, 2856, 18602])).
% 135.77/86.41 tff(18604,plain,
% 135.77/86.41 (~v108(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18603, 18601])).
% 135.77/86.41 tff(18605,plain,
% 135.77/86.41 (v104(constB98)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18444, 18510])).
% 135.77/86.41 tff(18606,plain,
% 135.77/86.41 (v102(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18452, 18605])).
% 135.77/86.41 tff(18607,plain,
% 135.77/86.41 (v106(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18460, 18606])).
% 135.77/86.41 tff(18608,plain,
% 135.77/86.41 (v107(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18464, 3161, 18607])).
% 135.77/86.41 tff(18609,plain,
% 135.77/86.41 (v108(constB97) | v119(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18468, 3195, 18608])).
% 135.77/86.41 tff(18610,plain,
% 135.77/86.41 (v119(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18609, 18604])).
% 135.77/86.41 tff(18611,plain,
% 135.77/86.41 (~v84(constB97, bitIndex0)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18438, 3173, 18610])).
% 135.77/86.41 tff(18612,plain,
% 135.77/86.41 (~v84(constB96, bitIndex0)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15552, 18611])).
% 135.77/86.41 tff(18613,plain,
% 135.77/86.41 (v94(constB96)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15437, 18612])).
% 135.77/86.41 tff(18614,plain,
% 135.77/86.41 (v84(constB96, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[16717, 18572])).
% 135.77/86.41 tff(18615,plain,
% 135.77/86.41 ((~v94(constB96)) | v123(constB96, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18333, 1344, 823, 18614])).
% 135.77/86.41 tff(18616,plain,
% 135.77/86.41 (v123(constB96, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18615, 18613])).
% 135.77/86.41 tff(18617,plain,
% 135.77/86.41 (v121(constB95, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18363, 18616])).
% 135.77/86.41 tff(18618,plain,
% 135.77/86.41 (v84(constB96, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18358, 18567])).
% 135.77/86.41 tff(18619,plain,
% 135.77/86.41 (v123(constB96, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18367, 18613, 18618])).
% 135.77/86.41 tff(18620,plain,
% 135.77/86.41 (v121(constB95, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17706, 18619])).
% 135.77/86.41 tff(18621,plain,
% 135.77/86.41 (v124(constB95, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17698, 18620])).
% 135.77/86.41 tff(18622,plain,
% 135.77/86.41 (v116(constB95)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18171, 18621, 18555, 17658, 18552, 18556, 18551])).
% 135.77/86.41 tff(18623,plain,
% 135.77/86.41 (~v124(constB95, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18380, 18622])).
% 135.77/86.41 tff(18624,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18341, 1380, 823, 15453, 18623, 18617])).
% 135.77/86.41 tff(18625,plain,(v84(constB98, bitIndex2) | (~v84(constB94, bitIndex1)) | v102(constB93)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18626,plain,
% 135.77/86.41 (v84(constB98, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18625, 17635, 17509])).
% 135.77/86.41 tff(18627,plain,
% 135.77/86.41 (v84(constB99, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15066, 18626])).
% 135.77/86.41 tff(18628,plain,
% 135.77/86.41 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB99)) | (~v84(constB99, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB99)) | (~v84(constB99, bitIndex2)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18629,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB99)) | (~v84(constB99, bitIndex2)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18630,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB99)) | (~v84(constB99, bitIndex2))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18629, 18628])).
% 135.77/86.41 tff(18631,plain,
% 135.77/86.41 (~v113(constB99)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18630, 1119, 18627])).
% 135.77/86.41 tff(18632,plain,
% 135.77/86.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB99, bitIndex2)) | (~v115(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB99, bitIndex2)) | (~v115(constB99)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18633,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB99, bitIndex2)) | (~v115(constB99)))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18634,plain,
% 135.77/86.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB99, bitIndex2)) | (~v115(constB99))),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18633, 18632])).
% 135.77/86.41 tff(18635,plain,
% 135.77/86.41 (~v115(constB99)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18634, 2665, 18627])).
% 135.77/86.41 tff(18636,plain,
% 135.77/86.41 (~v145(constB99)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15072, 18627])).
% 135.77/86.41 tff(18637,plain,
% 135.77/86.41 (~v116(constB99)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15148, 1130, 18627])).
% 135.77/86.41 tff(18638,plain,
% 135.77/86.41 (v172(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15545, 18569, 15178, 15223])).
% 135.77/86.41 tff(18639,plain,
% 135.77/86.41 (v124(constB97, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15284, 18638])).
% 135.77/86.41 tff(18640,plain,
% 135.77/86.41 (v121(constB97, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15273, 18639])).
% 135.77/86.41 tff(18641,plain,
% 135.77/86.41 (v123(constB98, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15262, 18640])).
% 135.77/86.41 tff(18642,plain,
% 135.77/86.41 (~v94(constB98)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15254, 18641, 15074])).
% 135.77/86.41 tff(18643,plain,
% 135.77/86.41 (~v104(constB98)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15029, 18642])).
% 135.77/86.41 tff(18644,plain,
% 135.77/86.41 (~v102(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15037, 18643])).
% 135.77/86.41 tff(18645,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15041, 619, 18644, 15241])).
% 135.77/86.41 tff(18646,plain,(v84(constB97, bitIndex1) | v84(constB98, bitIndex1) | v102(constB93) | (~v84(constB94, bitIndex1)) | (~v94(constB96))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18647,plain,
% 135.77/86.41 (~v94(constB96)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18646, 15178, 15619, 17509, 15074])).
% 135.77/86.41 tff(18648,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[17505, 18647, 15212])).
% 135.77/86.41 tff(18649,plain,(v84(constB97, bitIndex1) | (~v84(constB94, bitIndex1)) | v102(constB93) | v84(constB98, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18650,plain,
% 135.77/86.41 (v84(constB97, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18649, 15074, 17509, 15619])).
% 135.77/86.41 tff(18651,plain,
% 135.77/86.41 (~v118(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18482, 2842, 18650])).
% 135.77/86.41 tff(18652,plain,
% 135.77/86.41 (v94(constB98)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15082, 18650, 15074])).
% 135.77/86.41 tff(18653,plain,
% 135.77/86.41 (~v123(constB98, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15254, 18652, 15074])).
% 135.77/86.41 tff(18654,plain,
% 135.77/86.41 (~v121(constB97, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15262, 18653])).
% 135.77/86.41 tff(18655,plain,
% 135.77/86.41 (~v124(constB97, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15273, 18654])).
% 135.77/86.41 tff(18656,plain,
% 135.77/86.41 (~v172(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15284, 18655])).
% 135.77/86.41 tff(18657,plain,
% 135.77/86.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB98, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB98, bitIndex1))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18658,plain,
% 135.77/86.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB98, bitIndex1))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18659,plain,
% 135.77/86.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex1)) | (~v84(constB99, bitIndex1)) | v84(constB98, bitIndex1)),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18658, 18657])).
% 135.77/86.41 tff(18660,plain,
% 135.77/86.41 ($false),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18659, 805, 823, 15049, 15061, 15096, 15074])).
% 135.77/86.41 tff(18661,plain,((~v84(constB99, bitIndex1)) | v84(constB98, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.41 tff(18662,plain,
% 135.77/86.41 (~v84(constB99, bitIndex1)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18661, 15074])).
% 135.77/86.41 tff(18663,plain,
% 135.77/86.41 (v84(constB99, bitIndex1) | v84(constB99, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[13259, 865, 13456, 15091])).
% 135.77/86.41 tff(18664,plain,
% 135.77/86.41 (v84(constB99, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18663, 18662])).
% 135.77/86.41 tff(18665,plain,
% 135.77/86.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB98, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB98, bitIndex2))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.41 tff(18666,plain,
% 135.77/86.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB98, bitIndex2))),
% 135.77/86.41 inference(quant_inst,[status(thm)],[])).
% 135.77/86.41 tff(18667,plain,
% 135.77/86.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex2)) | (~v84(constB99, bitIndex2)) | v84(constB98, bitIndex2)),
% 135.77/86.41 inference(modus_ponens,[status(thm)],[18666, 18665])).
% 135.77/86.41 tff(18668,plain,
% 135.77/86.41 (v84(constB98, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18667, 805, 767, 15049, 15061, 18664])).
% 135.77/86.41 tff(18669,plain,
% 135.77/86.41 ((~v94(constB98)) | v123(constB98, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15586, 1344, 767, 18668])).
% 135.77/86.41 tff(18670,plain,
% 135.77/86.41 (v123(constB98, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18669, 18652])).
% 135.77/86.41 tff(18671,plain,
% 135.77/86.41 (v121(constB97, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15591, 1362, 767, 14884, 18670])).
% 135.77/86.41 tff(18672,plain,
% 135.77/86.41 (v124(constB97, bitIndex2)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[15598, 1380, 767, 14996, 18671])).
% 135.77/86.41 tff(18673,plain,
% 135.77/86.41 (~v116(constB97)),
% 135.77/86.41 inference(unit_resolution,[status(thm)],[18492, 1130, 18567])).
% 135.77/86.41 tff(18674,plain,
% 135.77/86.41 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB97)) | (~v84(constB97, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB97)) | (~v84(constB97, bitIndex2)))),
% 135.77/86.41 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18675,plain,
% 135.77/86.42 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB97)) | (~v84(constB97, bitIndex2)))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18676,plain,
% 135.77/86.42 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB97)) | (~v84(constB97, bitIndex2))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18675, 18674])).
% 135.77/86.42 tff(18677,plain,
% 135.77/86.42 (~v113(constB97)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18676, 1119, 18567])).
% 135.77/86.42 tff(18678,plain,
% 135.77/86.42 (~v145(constB97)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18400, 725, 18567])).
% 135.77/86.42 tff(18679,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex2)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18680,plain,
% 135.77/86.42 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex2)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18681,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex2))))),
% 135.77/86.42 inference(monotonicity,[status(thm)],[18680])).
% 135.77/86.42 tff(18682,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex2)))),
% 135.77/86.42 inference(transitivity,[status(thm)],[18681, 18679])).
% 135.77/86.42 tff(18683,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b001(bitIndex2))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18684,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex2))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18683, 18682])).
% 135.77/86.42 tff(18685,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18684, 2427, 2424, 767, 18678, 18677, 18586, 18673, 18672, 18656, 18651])).
% 135.77/86.42 tff(18686,plain,(v84(constB98, bitIndex1) | v102(constB93) | (~v84(constB94, bitIndex1)) | v145(constB99) | (~v84(constB99, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18687,plain,
% 135.77/86.42 (v84(constB98, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18686, 18505, 17509, 17635, 18636])).
% 135.77/86.42 tff(18688,plain,
% 135.77/86.42 (v84(constB99, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[15089, 18687])).
% 135.77/86.42 tff(18689,plain,
% 135.77/86.42 (~v118(constB99)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[15127, 2842, 18688])).
% 135.77/86.42 tff(18690,plain,
% 135.77/86.42 (v124(constB99, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13936, 18689, 18637, 18636, 18635, 18631, 18509])).
% 135.77/86.42 tff(18691,plain,
% 135.77/86.42 (v121(constB99, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13891, 18690])).
% 135.77/86.42 tff(18692,plain,
% 135.77/86.42 (v123(constB100, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13876, 18691])).
% 135.77/86.42 tff(18693,plain,
% 135.77/86.42 (v84(constB100, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13868, 18692])).
% 135.77/86.42 tff(18694,plain,
% 135.77/86.42 (v84(constB101, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13390, 18693])).
% 135.77/86.42 tff(18695,plain,
% 135.77/86.42 (~v107(constB99)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[15154, 18688, 18627, 18636, 18505])).
% 135.77/86.42 tff(18696,plain,
% 135.77/86.42 (~v106(constB99)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14876, 3161, 18695])).
% 135.77/86.42 tff(18697,plain,
% 135.77/86.42 (~v102(constB99)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14872, 18696])).
% 135.77/86.42 tff(18698,plain,
% 135.77/86.42 (~v104(constB100)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14864, 18697])).
% 135.77/86.42 tff(18699,plain,
% 135.77/86.42 (~v94(constB100)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14856, 18698])).
% 135.77/86.42 tff(18700,plain,
% 135.77/86.42 (v84(constB100, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13292, 18699])).
% 135.77/86.42 tff(18701,plain,
% 135.77/86.42 (v84(constB101, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13318, 18700])).
% 135.77/86.42 tff(18702,plain,
% 135.77/86.42 (~v115(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13398, 2665, 18701])).
% 135.77/86.42 tff(18703,plain,
% 135.77/86.42 (~v113(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13326, 18701])).
% 135.77/86.42 tff(18704,plain,
% 135.77/86.42 (~v145(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13461, 18699])).
% 135.77/86.42 tff(18705,plain,
% 135.77/86.42 (~v112(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13511, 2894, 18704, 18703])).
% 135.77/86.42 tff(18706,plain,
% 135.77/86.42 (v115(constB101) | (~v111(constB101))),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13516, 2911, 18705])).
% 135.77/86.42 tff(18707,plain,
% 135.77/86.42 (~v111(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18706, 18702])).
% 135.77/86.42 tff(18708,plain,
% 135.77/86.42 (~v116(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13402, 1130, 18701])).
% 135.77/86.42 tff(18709,plain,
% 135.77/86.42 (~v110(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13522, 2932, 18708, 18707])).
% 135.77/86.42 tff(18710,plain,
% 135.77/86.42 (~v172(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13394, 7708, 18694])).
% 135.77/86.42 tff(18711,plain,
% 135.77/86.42 (~v109(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13530, 2871, 18710, 18709])).
% 135.77/86.42 tff(18712,plain,
% 135.77/86.42 (v84(constB100, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13482, 18699])).
% 135.77/86.42 tff(18713,plain,
% 135.77/86.42 (v84(constB101, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13487, 18712])).
% 135.77/86.42 tff(18714,plain,
% 135.77/86.42 (~v118(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13491, 2842, 18713])).
% 135.77/86.42 tff(18715,plain,
% 135.77/86.42 (~v108(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13536, 2856, 18714, 18711])).
% 135.77/86.42 tff(18716,plain,
% 135.77/86.42 (~v119(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13553, 3173, 18694])).
% 135.77/86.42 tff(18717,plain,
% 135.77/86.42 (v108(constB101) | (~v107(constB101))),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13557, 3195, 18716])).
% 135.77/86.42 tff(18718,plain,
% 135.77/86.42 (~v107(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18717, 18715])).
% 135.77/86.42 tff(18719,plain,
% 135.77/86.42 (~v106(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13561, 3161, 18718])).
% 135.77/86.42 tff(18720,plain,
% 135.77/86.42 (~v102(constB101)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13660, 18719])).
% 135.77/86.42 tff(18721,plain,
% 135.77/86.42 (~v104(constB102)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13668, 18720])).
% 135.77/86.42 tff(18722,plain,
% 135.77/86.42 (~v94(constB102)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13673, 18721])).
% 135.77/86.42 tff(18723,plain,
% 135.77/86.42 (v84(constB102, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13686, 18722, 18694])).
% 135.77/86.42 tff(18724,plain,
% 135.77/86.42 (v84(constB103, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14353, 18723])).
% 135.77/86.42 tff(18725,plain,
% 135.77/86.42 (v84(constB102, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[13792, 18722, 18713])).
% 135.77/86.42 tff(18726,plain,
% 135.77/86.42 (v84(constB103, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14349, 18725])).
% 135.77/86.42 tff(18727,plain,
% 135.77/86.42 (~v172(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14345, 18699])).
% 135.77/86.42 tff(18728,plain,
% 135.77/86.42 (v84(constB102, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14241, 18722, 18694])).
% 135.77/86.42 tff(18729,plain,
% 135.77/86.42 (v84(constB103, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14267, 18728])).
% 135.77/86.42 tff(18730,plain,
% 135.77/86.42 (v145(constB105)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14389, 18729, 9380, 18727, 18726, 18724])).
% 135.77/86.42 tff(18731,plain,
% 135.77/86.42 (~v84(constB105, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10296, 725, 18730])).
% 135.77/86.42 tff(18732,plain,
% 135.77/86.42 (~v84(constB104, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[8928, 18731])).
% 135.77/86.42 tff(18733,plain,
% 135.77/86.42 (v94(constB104)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10776, 18732])).
% 135.77/86.42 tff(18734,plain,
% 135.77/86.42 (v104(constB104)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[9098, 18733])).
% 135.77/86.42 tff(18735,plain,
% 135.77/86.42 (v102(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[9093, 18734])).
% 135.77/86.42 tff(18736,plain,
% 135.77/86.42 (v106(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10857, 18735])).
% 135.77/86.42 tff(18737,plain,
% 135.77/86.42 (v107(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10861, 3161, 18736])).
% 135.77/86.42 tff(18738,plain,
% 135.77/86.42 (~v119(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10769, 18724])).
% 135.77/86.42 tff(18739,plain,
% 135.77/86.42 (v108(constB103) | (~v107(constB103))),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10865, 3195, 18738])).
% 135.77/86.42 tff(18740,plain,
% 135.77/86.42 (v108(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18739, 18737])).
% 135.77/86.42 tff(18741,plain,
% 135.77/86.42 (~v113(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[12623, 1119, 18729])).
% 135.77/86.42 tff(18742,plain,
% 135.77/86.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB103, bitIndex2)) | (~v145(constB103)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB103, bitIndex2)) | (~v145(constB103)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18743,plain,
% 135.77/86.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB103, bitIndex2)) | (~v145(constB103)))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18744,plain,
% 135.77/86.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB103, bitIndex2)) | (~v145(constB103))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18743, 18742])).
% 135.77/86.42 tff(18745,plain,
% 135.77/86.42 (~v145(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18744, 725, 18729])).
% 135.77/86.42 tff(18746,plain,
% 135.77/86.42 (~v112(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10847, 2894, 18745, 18741])).
% 135.77/86.42 tff(18747,plain,
% 135.77/86.42 (~v115(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[12627, 2665, 18729])).
% 135.77/86.42 tff(18748,plain,
% 135.77/86.42 (~v111(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[11009, 2911, 18747, 18746])).
% 135.77/86.42 tff(18749,plain,
% 135.77/86.42 (~v116(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[12661, 1130, 18729])).
% 135.77/86.42 tff(18750,plain,
% 135.77/86.42 (v111(constB103) | (~v110(constB103))),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10885, 2932, 18749])).
% 135.77/86.42 tff(18751,plain,
% 135.77/86.42 (~v110(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18750, 18748])).
% 135.77/86.42 tff(18752,plain,
% 135.77/86.42 ((~v109(constB103)) | v110(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10876, 2871, 18727])).
% 135.77/86.42 tff(18753,plain,
% 135.77/86.42 (~v109(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18752, 18751])).
% 135.77/86.42 tff(18754,plain,
% 135.77/86.42 (~v118(constB103)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[14361, 18726])).
% 135.77/86.42 tff(18755,plain,
% 135.77/86.42 (v109(constB103) | (~v108(constB103))),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[10869, 2856, 18754])).
% 135.77/86.42 tff(18756,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18755, 18753, 18740])).
% 135.77/86.42 tff(18757,plain,(v102(constB93) | (~v107(constB105))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18758,plain,
% 135.77/86.42 (v102(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18757, 14832])).
% 135.77/86.42 tff(18759,plain,
% 135.77/86.42 (v104(constB94)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[15916, 18758])).
% 135.77/86.42 tff(18760,plain,
% 135.77/86.42 (v94(constB94)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[15908, 18759])).
% 135.77/86.42 tff(18761,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[15686, 805, 823, 15303, 15299, 15179, 15300])).
% 135.77/86.42 tff(18762,plain,(v94(constB96) | (~v84(constB96, bitIndex1)) | v84(constB95, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18763,plain,
% 135.77/86.42 (v84(constB95, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18762, 15299, 18388])).
% 135.77/86.42 tff(18764,plain,
% 135.77/86.42 (v84(constB94, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17668, 18763])).
% 135.77/86.42 tff(18765,assumption,(~v123(constB94, bitIndex2)), introduced(assumption)).
% 135.77/86.42 tff(18766,plain,
% 135.77/86.42 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB94)) | (~v84(constB94, bitIndex2)) | v123(constB94, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB94)) | (~v84(constB94, bitIndex2)) | v123(constB94, bitIndex2))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18767,plain,
% 135.77/86.42 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB94)) | (~v84(constB94, bitIndex2)) | v123(constB94, bitIndex2))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18768,plain,
% 135.77/86.42 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB94)) | (~v84(constB94, bitIndex2)) | v123(constB94, bitIndex2)),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18767, 18766])).
% 135.77/86.42 tff(18769,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18768, 1344, 767, 15770, 15743, 18765])).
% 135.77/86.42 tff(18770,plain,(v123(constB94, bitIndex2) | (~v94(constB94)) | (~v84(constB94, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18771,plain,
% 135.77/86.42 (v123(constB94, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18770, 15716, 15770])).
% 135.77/86.42 tff(18772,assumption,(v123(constB94, bitIndex2)), introduced(assumption)).
% 135.77/86.42 tff(18773,assumption,(~v121(constB93, bitIndex2)), introduced(assumption)).
% 135.77/86.42 tff(18774,plain,
% 135.77/86.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex2)) | (~v123(constB94, bitIndex2)) | v121(constB93, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex2)) | (~v123(constB94, bitIndex2)) | v121(constB93, bitIndex2))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18775,plain,
% 135.77/86.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex2)) | (~v123(constB94, bitIndex2)) | v121(constB93, bitIndex2))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18776,plain,
% 135.77/86.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex2)) | (~v123(constB94, bitIndex2)) | v121(constB93, bitIndex2)),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18775, 18774])).
% 135.77/86.42 tff(18777,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18776, 1362, 767, 15758, 18773, 18772])).
% 135.77/86.42 tff(18778,plain,((~v123(constB94, bitIndex2)) | v121(constB93, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18779,plain,
% 135.77/86.42 (v121(constB93, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18778, 18771])).
% 135.77/86.42 tff(18780,assumption,(v121(constB93, bitIndex2)), introduced(assumption)).
% 135.77/86.42 tff(18781,assumption,(~v124(constB93, bitIndex2)), introduced(assumption)).
% 135.77/86.42 tff(18782,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~v121(constB93, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~v121(constB93, bitIndex2)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18783,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~v121(constB93, bitIndex2)))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18784,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex2)) | v124(constB93, bitIndex2) | (~v121(constB93, bitIndex2))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18783, 18782])).
% 135.77/86.42 tff(18785,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18784, 1380, 767, 15786, 18781, 18780])).
% 135.77/86.42 tff(18786,plain,(v124(constB93, bitIndex2) | (~v121(constB93, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18787,plain,
% 135.77/86.42 (v124(constB93, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18786, 18779])).
% 135.77/86.42 tff(18788,assumption,(v124(constB93, bitIndex2)), introduced(assumption)).
% 135.77/86.42 tff(18789,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB93)) | (~v124(constB93, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB93)) | (~v124(constB93, bitIndex2)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18790,plain,
% 135.77/86.42 (((~v145(constB93)) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB93)) | (~v124(constB93, bitIndex2)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18791,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB93)) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB93)) | (~v124(constB93, bitIndex2))))),
% 135.77/86.42 inference(monotonicity,[status(thm)],[18790])).
% 135.77/86.42 tff(18792,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB93)) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB93)) | (~v124(constB93, bitIndex2)))),
% 135.77/86.42 inference(transitivity,[status(thm)],[18791, 18789])).
% 135.77/86.42 tff(18793,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB93)) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)) | b010(bitIndex2))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18794,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB93)) | (~v124(constB93, bitIndex2))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18793, 18792])).
% 135.77/86.42 tff(18795,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18794, 1419, 1416, 767, 16136, 18788])).
% 135.77/86.42 tff(18796,plain,((~v124(constB93, bitIndex2)) | (~v145(constB93))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18797,plain,
% 135.77/86.42 (~v145(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18796, 18787])).
% 135.77/86.42 tff(18798,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB93)) | (~v124(constB93, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB93)) | (~v124(constB93, bitIndex2)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18799,plain,
% 135.77/86.42 (((~v115(constB93)) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB93)) | (~v124(constB93, bitIndex2)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18800,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB93)) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB93)) | (~v124(constB93, bitIndex2))))),
% 135.77/86.42 inference(monotonicity,[status(thm)],[18799])).
% 135.77/86.42 tff(18801,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB93)) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB93)) | (~v124(constB93, bitIndex2)))),
% 135.77/86.42 inference(transitivity,[status(thm)],[18800, 18798])).
% 135.77/86.42 tff(18802,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB93)) | (~less_3(bitIndex2)) | (~v124(constB93, bitIndex2)) | b011(bitIndex2))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18803,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB93)) | (~v124(constB93, bitIndex2))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18802, 18801])).
% 135.77/86.42 tff(18804,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18803, 2030, 2257, 767, 17729, 18788])).
% 135.77/86.42 tff(18805,plain,((~v124(constB93, bitIndex2)) | (~v115(constB93))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18806,plain,
% 135.77/86.42 (~v115(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18805, 18787])).
% 135.77/86.42 tff(18807,plain,
% 135.77/86.42 (~v116(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16054, 2167, 2164, 823, 17468])).
% 135.77/86.42 tff(18808,plain,
% 135.77/86.42 (~v113(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16061, 2167, 2186, 823, 17468])).
% 135.77/86.42 tff(18809,plain,
% 135.77/86.42 (~v145(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16111, 816, 17183])).
% 135.77/86.42 tff(18810,plain,
% 135.77/86.42 (v145(constB93) | v118(constB93) | v172(constB93) | v116(constB93) | v115(constB93) | v113(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16085, 2601, 2424, 823, 17468])).
% 135.77/86.42 tff(18811,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18810, 18809, 17230, 17221, 18808, 17196, 18807])).
% 135.77/86.42 tff(18812,plain,((~v84(constB93, bitIndex1)) | v115(constB93) | (~v124(constB93, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18813,plain,
% 135.77/86.42 (~v84(constB93, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18812, 18806, 17468])).
% 135.77/86.42 tff(18814,plain,
% 135.77/86.42 (v84(constB93, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17377, 18813, 18797])).
% 135.77/86.42 tff(18815,plain,
% 135.77/86.42 (v84(constB92, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16494, 18814])).
% 135.77/86.42 tff(18816,plain,
% 135.77/86.42 (v123(constB92, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17384, 18815, 16410])).
% 135.77/86.42 tff(18817,plain,
% 135.77/86.42 (v121(constB91, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17370, 18816])).
% 135.77/86.42 tff(18818,plain,
% 135.77/86.42 (v124(constB91, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17362, 18817])).
% 135.77/86.42 tff(18819,plain,
% 135.77/86.42 (~v145(constB91)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17712, 18818])).
% 135.77/86.42 tff(18820,plain,
% 135.77/86.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB93, bitIndex0)) | (~v115(constB93)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB93, bitIndex0)) | (~v115(constB93)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18821,plain,
% 135.77/86.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB93, bitIndex0)) | (~v115(constB93)))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18822,plain,
% 135.77/86.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB93, bitIndex0)) | (~v115(constB93))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18821, 18820])).
% 135.77/86.42 tff(18823,plain,
% 135.77/86.42 (~v84(constB93, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18822, 3011, 17729])).
% 135.77/86.42 tff(18824,plain,
% 135.77/86.42 (~v84(constB92, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17181, 18823])).
% 135.77/86.42 tff(18825,plain,
% 135.77/86.42 (~v84(constB93, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16806, 2665, 17729])).
% 135.77/86.42 tff(18826,plain,
% 135.77/86.42 (~v84(constB92, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16152, 18825])).
% 135.77/86.42 tff(18827,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17445, 18826, 18824, 16994])).
% 135.77/86.42 tff(18828,plain,((~v115(constB93)) | v145(constB91)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18829,plain,
% 135.77/86.42 (~v115(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18828, 16994])).
% 135.77/86.42 tff(18830,plain,
% 135.77/86.42 (~v84(constB93, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18812, 18829, 17468])).
% 135.77/86.42 tff(18831,plain,
% 135.77/86.42 (~v84(constB92, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16133, 18830])).
% 135.77/86.42 tff(18832,plain,
% 135.77/86.42 (~v84(constB93, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18812, 16807, 17468])).
% 135.77/86.42 tff(18833,plain,
% 135.77/86.42 (~v84(constB92, bitIndex1)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16133, 18832])).
% 135.77/86.42 tff(18834,plain,
% 135.77/86.42 (~v84(constB92, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17580, 18833, 16802])).
% 135.77/86.42 tff(18835,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16368, 18834, 18833, 16154])).
% 135.77/86.42 tff(18836,plain,(v94(constB92) | (~v124(constB93, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18837,plain,
% 135.77/86.42 (v94(constB92)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18836, 17468])).
% 135.77/86.42 tff(18838,plain,
% 135.77/86.42 (~v119(constB91)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17394, 16994, 16029, 18837])).
% 135.77/86.42 tff(18839,plain,
% 135.77/86.42 (v84(constB92, bitIndex2)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17524, 18831, 18838, 18837])).
% 135.77/86.42 tff(18840,plain,
% 135.77/86.42 (~v84(constB92, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[17580, 18839, 18831])).
% 135.77/86.42 tff(18841,plain,
% 135.77/86.42 (~v84(constB93, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16406, 18840])).
% 135.77/86.42 tff(18842,assumption,(~v116(constB93)), introduced(assumption)).
% 135.77/86.42 tff(18843,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[16085, 2601, 2424, 823, 16029, 17483, 17474, 17604, 17196, 17468, 18842])).
% 135.77/86.42 tff(18844,plain,((~v124(constB93, bitIndex1)) | v145(constB93) | v172(constB93) | v118(constB93) | v113(constB93) | v115(constB93) | v116(constB93)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18845,plain,
% 135.77/86.42 (v118(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18844, 18829, 16029, 17468, 18808, 18807, 17483])).
% 135.77/86.42 tff(18846,plain,
% 135.77/86.42 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB93, bitIndex0) | (~v118(constB93)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB93, bitIndex0) | (~v118(constB93)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18847,plain,
% 135.77/86.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB93, bitIndex0) | (~v118(constB93)))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18848,plain,
% 135.77/86.42 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB93, bitIndex0) | (~v118(constB93))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 135.77/86.42 tff(18849,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18848, 2642, 18845, 18841])).
% 135.77/86.42 tff(18850,plain,(v145(constB91) | v145(constB93) | (~v124(constB93, bitIndex1)) | v172(constB93)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18851,plain,
% 135.77/86.42 (v172(constB93)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18850, 18819, 17468, 18797])).
% 135.77/86.42 tff(18852,assumption,(v124(constB93, bitIndex0)), introduced(assumption)).
% 135.77/86.42 tff(18853,assumption,(v172(constB93)), introduced(assumption)).
% 135.77/86.42 tff(18854,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB93)) | (~v124(constB93, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB93)) | (~v124(constB93, bitIndex0)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18855,plain,
% 135.77/86.42 (((~v172(constB93)) | (~less_3(bitIndex0)) | (~v124(constB93, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB93)) | (~v124(constB93, bitIndex0)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18856,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB93)) | (~less_3(bitIndex0)) | (~v124(constB93, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB93)) | (~v124(constB93, bitIndex0))))),
% 135.77/86.42 inference(monotonicity,[status(thm)],[18855])).
% 135.77/86.42 tff(18857,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB93)) | (~less_3(bitIndex0)) | (~v124(constB93, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB93)) | (~v124(constB93, bitIndex0)))),
% 135.77/86.42 inference(transitivity,[status(thm)],[18856, 18854])).
% 135.77/86.42 tff(18858,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB93)) | (~less_3(bitIndex0)) | (~v124(constB93, bitIndex0)) | b110(bitIndex0))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18859,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB93)) | (~v124(constB93, bitIndex0))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18858, 18857])).
% 135.77/86.42 tff(18860,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18859, 1997, 1994, 795, 18853, 18852])).
% 135.77/86.42 tff(18861,plain,((~v172(constB93)) | (~v124(constB93, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18862,plain,
% 135.77/86.42 (~v124(constB93, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18861, 18851])).
% 135.77/86.42 tff(18863,assumption,(v121(constB93, bitIndex0)), introduced(assumption)).
% 135.77/86.42 tff(18864,assumption,(~v124(constB93, bitIndex0)), introduced(assumption)).
% 135.77/86.42 tff(18865,plain,
% 135.77/86.42 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18866,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB93) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0)))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18867,plain,
% 135.77/86.42 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB93) | (~less_3(bitIndex0)) | v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0))),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 135.77/86.42 tff(18868,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18867, 1380, 795, 15786, 18864, 18863])).
% 135.77/86.42 tff(18869,plain,(v124(constB93, bitIndex0) | (~v121(constB93, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18870,plain,
% 135.77/86.42 (~v121(constB93, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18869, 18862])).
% 135.77/86.42 tff(18871,assumption,(v123(constB94, bitIndex0)), introduced(assumption)).
% 135.77/86.42 tff(18872,assumption,(~v121(constB93, bitIndex0)), introduced(assumption)).
% 135.77/86.42 tff(18873,plain,
% 135.77/86.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex0)) | (~v123(constB94, bitIndex0)) | v121(constB93, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex0)) | (~v123(constB94, bitIndex0)) | v121(constB93, bitIndex0))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18874,plain,
% 135.77/86.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB93, constB94)) | (~less_3(bitIndex0)) | (~v123(constB94, bitIndex0)) | v121(constB93, bitIndex0))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18875,plain,
% 135.77/86.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB93, constB94)) | (~less_3(bitIndex0)) | (~v123(constB94, bitIndex0)) | v121(constB93, bitIndex0)),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18874, 18873])).
% 135.77/86.42 tff(18876,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18875, 1362, 795, 15758, 18872, 18871])).
% 135.77/86.42 tff(18877,plain,((~v123(constB94, bitIndex0)) | v121(constB93, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18878,plain,
% 135.77/86.42 (~v123(constB94, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18877, 18870])).
% 135.77/86.42 tff(18879,assumption,(~v123(constB94, bitIndex0)), introduced(assumption)).
% 135.77/86.42 tff(18880,plain,
% 135.77/86.42 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB94)) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB94)) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0))),
% 135.77/86.42 inference(rewrite,[status(thm)],[])).
% 135.77/86.42 tff(18881,plain,
% 135.77/86.42 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB94)) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0))),
% 135.77/86.42 inference(quant_inst,[status(thm)],[])).
% 135.77/86.42 tff(18882,plain,
% 135.77/86.42 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB94)) | (~v84(constB94, bitIndex0)) | v123(constB94, bitIndex0)),
% 135.77/86.42 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 135.77/86.42 tff(18883,plain,
% 135.77/86.42 ($false),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18882, 1344, 795, 15770, 16689, 18879])).
% 135.77/86.42 tff(18884,plain,((~v84(constB94, bitIndex0)) | (~v94(constB94)) | v123(constB94, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.77/86.42 tff(18885,plain,
% 135.77/86.42 (~v84(constB94, bitIndex0)),
% 135.77/86.42 inference(unit_resolution,[status(thm)],[18884, 18878, 15770])).
% 135.77/86.42 tff(18886,plain,
% 135.77/86.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB95, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB95, bitIndex0)))),
% 135.79/86.42 inference(rewrite,[status(thm)],[])).
% 135.79/86.42 tff(18887,plain,
% 135.79/86.42 (((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB94, bitIndex0)) <=> ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB95, bitIndex0)))),
% 135.79/86.42 inference(rewrite,[status(thm)],[])).
% 135.79/86.42 tff(18888,plain,
% 135.79/86.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB94, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB95, bitIndex0))))),
% 135.79/86.42 inference(monotonicity,[status(thm)],[18887])).
% 135.79/86.42 tff(18889,plain,
% 135.79/86.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB94, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB95, bitIndex0)))),
% 135.79/86.42 inference(transitivity,[status(thm)],[18888, 18886])).
% 135.79/86.42 tff(18890,plain,
% 135.79/86.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | (~v84(constB95, bitIndex0)) | v84(constB94, bitIndex0))),
% 135.79/86.42 inference(quant_inst,[status(thm)],[])).
% 135.79/86.42 tff(18891,plain,
% 135.79/86.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB94, constB95)) | v94(constB95) | (~less_3(bitIndex0)) | v84(constB94, bitIndex0) | (~v84(constB95, bitIndex0))),
% 135.79/86.42 inference(modus_ponens,[status(thm)],[18890, 18889])).
% 135.79/86.42 tff(18892,plain,
% 135.79/86.42 ($false),
% 135.79/86.42 inference(unit_resolution,[status(thm)],[18891, 805, 795, 15622, 15634, 15755, 15739])).
% 135.79/86.42 tff(18893,plain,((~v84(constB95, bitIndex0)) | v84(constB94, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.42 tff(18894,plain,
% 135.79/86.42 (~v84(constB95, bitIndex0)),
% 135.79/86.42 inference(unit_resolution,[status(thm)],[18893, 18885])).
% 135.79/86.42 tff(18895,plain,
% 135.79/86.42 ($false),
% 135.79/86.42 inference(unit_resolution,[status(thm)],[15662, 805, 795, 15303, 15299, 15656, 18894])).
% 135.79/86.42 tff(18896,plain,(v94(constB96) | (~v94(constB94)) | (~v124(constB93, bitIndex1)) | (~v94(constB92))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.42 tff(18897,plain,
% 135.79/86.42 (~v124(constB93, bitIndex1)),
% 135.79/86.42 inference(unit_resolution,[status(thm)],[18896, 15299, 15770, 16410])).
% 135.79/86.42 tff(18898,plain,
% 135.79/86.42 ($false),
% 135.79/86.42 inference(unit_resolution,[status(thm)],[16047, 1380, 823, 15786, 16041, 17728])).
% 135.79/86.42 tff(18899,plain,(v124(constB93, bitIndex1) | (~v121(constB93, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.42 tff(18900,plain,
% 135.79/86.42 (~v121(constB93, bitIndex1)),
% 135.79/86.42 inference(unit_resolution,[status(thm)],[18899, 18897])).
% 135.79/86.42 tff(18901,plain,
% 135.79/86.42 ($false),
% 135.79/86.42 inference(unit_resolution,[status(thm)],[16102, 18900, 18764, 15770])).
% 135.79/86.42 tff(18902,plain,(v94(constB96) | (~v94(constB94)) | (~v94(constB92))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.42 tff(18903,plain,
% 135.79/86.42 (~v94(constB92)),
% 135.79/86.42 inference(unit_resolution,[status(thm)],[18902, 15299, 15770])).
% 135.79/86.43 tff(18904,plain,
% 135.79/86.43 (~v124(constB93, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18836, 18903])).
% 135.79/86.43 tff(18905,plain,
% 135.79/86.43 (v121(constB93, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[16102, 18764, 15770])).
% 135.79/86.43 tff(18906,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18899, 18905, 18904])).
% 135.79/86.43 tff(18907,plain,(v94(constB96) | (~v94(constB94))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(18908,plain,
% 135.79/86.43 (v94(constB96)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18907, 18760])).
% 135.79/86.43 tff(18909,assumption,(v118(constB97)), introduced(assumption)).
% 135.79/86.43 tff(18910,plain,
% 135.79/86.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB97, bitIndex0) | (~v118(constB97)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB97, bitIndex0) | (~v118(constB97)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18911,plain,
% 135.79/86.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB97, bitIndex0) | (~v118(constB97)))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18912,plain,
% 135.79/86.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB97, bitIndex0) | (~v118(constB97))),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18911, 18910])).
% 135.79/86.43 tff(18913,plain,
% 135.79/86.43 (v84(constB97, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18912, 2642, 18909])).
% 135.79/86.43 tff(18914,plain,
% 135.79/86.43 (v84(constB96, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15292, 18913])).
% 135.79/86.43 tff(18915,plain,
% 135.79/86.43 (v123(constB96, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17763, 18914, 15211])).
% 135.79/86.43 tff(18916,plain,
% 135.79/86.43 (v121(constB95, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[16732, 18915])).
% 135.79/86.43 tff(18917,plain,
% 135.79/86.43 (v124(constB95, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17758, 18916])).
% 135.79/86.43 tff(18918,plain,
% 135.79/86.43 (~v84(constB97, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18482, 2842, 18909])).
% 135.79/86.43 tff(18919,plain,
% 135.79/86.43 (~v84(constB96, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15199, 18918])).
% 135.79/86.43 tff(18920,plain,
% 135.79/86.43 (v84(constB94, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17803, 18919])).
% 135.79/86.43 tff(18921,plain,
% 135.79/86.43 (v84(constB95, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15642, 18920])).
% 135.79/86.43 tff(18922,plain,
% 135.79/86.43 (~v113(constB95)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17811, 18921])).
% 135.79/86.43 tff(18923,plain,
% 135.79/86.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB97, bitIndex2) | (~v118(constB97)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB97, bitIndex2) | (~v118(constB97)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18924,plain,
% 135.79/86.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB97, bitIndex2) | (~v118(constB97)))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18925,plain,
% 135.79/86.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB97, bitIndex2) | (~v118(constB97))),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18924, 18923])).
% 135.79/86.43 tff(18926,plain,
% 135.79/86.43 (v84(constB97, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18925, 5252, 18909])).
% 135.79/86.43 tff(18927,plain,
% 135.79/86.43 (v84(constB96, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18358, 18926])).
% 135.79/86.43 tff(18928,plain,
% 135.79/86.43 (v123(constB96, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18367, 18927, 15211])).
% 135.79/86.43 tff(18929,plain,
% 135.79/86.43 (v121(constB95, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17706, 18928])).
% 135.79/86.43 tff(18930,plain,
% 135.79/86.43 (v124(constB95, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17698, 18929])).
% 135.79/86.43 tff(18931,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB95)) | (~v124(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB95)) | (~v124(constB95, bitIndex2)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18932,plain,
% 135.79/86.43 (((~v115(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB95)) | (~v124(constB95, bitIndex2)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18933,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB95)) | (~v124(constB95, bitIndex2))))),
% 135.79/86.43 inference(monotonicity,[status(thm)],[18932])).
% 135.79/86.43 tff(18934,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB95)) | (~v124(constB95, bitIndex2)))),
% 135.79/86.43 inference(transitivity,[status(thm)],[18933, 18931])).
% 135.79/86.43 tff(18935,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b011(bitIndex2))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18936,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB95)) | (~v124(constB95, bitIndex2))),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18935, 18934])).
% 135.79/86.43 tff(18937,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18936, 2030, 2257, 767, 17679, 17813])).
% 135.79/86.43 tff(18938,plain,((~v124(constB95, bitIndex2)) | (~v115(constB95))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(18939,plain,
% 135.79/86.43 (~v115(constB95)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18938, 18930])).
% 135.79/86.43 tff(18940,plain,
% 135.79/86.43 (~v145(constB95)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17687, 18930])).
% 135.79/86.43 tff(18941,plain,
% 135.79/86.43 (~v118(constB95)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17824, 18921])).
% 135.79/86.43 tff(18942,plain,
% 135.79/86.43 (~v172(constB95)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18281, 18921])).
% 135.79/86.43 tff(18943,plain,
% 135.79/86.43 (v116(constB95)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18171, 18930, 18942, 18941, 18940, 18939, 18922])).
% 135.79/86.43 tff(18944,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18053, 2386, 2164, 795, 16739, 18372])).
% 135.79/86.43 tff(18945,plain,((~v124(constB95, bitIndex0)) | (~v116(constB95))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(18946,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18945, 18943, 18917])).
% 135.79/86.43 tff(18947,plain,((~v118(constB97)) | (~v94(constB96))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(18948,plain,
% 135.79/86.43 (~v118(constB97)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18947, 18908])).
% 135.79/86.43 tff(18949,plain,
% 135.79/86.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v172(constB97)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v172(constB97)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18950,plain,
% 135.79/86.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB97, bitIndex1)) | (~v172(constB97)))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18951,plain,
% 135.79/86.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB97, bitIndex1)) | (~v172(constB97))),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18950, 18949])).
% 135.79/86.43 tff(18952,plain,
% 135.79/86.43 (~v172(constB97)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18951, 2289, 14842])).
% 135.79/86.43 tff(18953,plain,
% 135.79/86.43 (~v123(constB100, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14109, 1674, 823, 13858, 13151])).
% 135.79/86.43 tff(18954,plain,
% 135.79/86.43 (~v121(constB99, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14102, 18953])).
% 135.79/86.43 tff(18955,plain,
% 135.79/86.43 (~v124(constB99, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14094, 1728, 823, 13883, 18954])).
% 135.79/86.43 tff(18956,assumption,(v172(constB99)), introduced(assumption)).
% 135.79/86.43 tff(18957,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB99)) | (~b110(bitIndex1)) | v124(constB99, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB99)) | (~b110(bitIndex1)) | v124(constB99, bitIndex1))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18958,plain,
% 135.79/86.43 (((~v172(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v172(constB99)) | (~b110(bitIndex1)) | v124(constB99, bitIndex1))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18959,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB99)) | (~b110(bitIndex1)) | v124(constB99, bitIndex1)))),
% 135.79/86.43 inference(monotonicity,[status(thm)],[18958])).
% 135.79/86.43 tff(18960,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB99)) | (~b110(bitIndex1)) | v124(constB99, bitIndex1))),
% 135.79/86.43 inference(transitivity,[status(thm)],[18959, 18957])).
% 135.79/86.43 tff(18961,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b110(bitIndex1)))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18962,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB99)) | (~b110(bitIndex1)) | v124(constB99, bitIndex1)),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18961, 18960])).
% 135.79/86.43 tff(18963,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18962, 1801, 1798, 823, 18956, 18955])).
% 135.79/86.43 tff(18964,plain,((~v172(constB99)) | (~v94(constB100)) | v84(constB100, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(18965,plain,
% 135.79/86.43 (~v172(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18964, 13151, 13858])).
% 135.79/86.43 tff(18966,plain,
% 135.79/86.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB100, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB100, bitIndex1))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18967,plain,
% 135.79/86.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB100, bitIndex1))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18968,plain,
% 135.79/86.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex1)) | (~v84(constB101, bitIndex1)) | v84(constB100, bitIndex1)),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18967, 18966])).
% 135.79/86.43 tff(18969,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18968, 805, 823, 13301, 13313, 13151, 13790])).
% 135.79/86.43 tff(18970,plain,((~v84(constB101, bitIndex1)) | v84(constB100, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(18971,plain,
% 135.79/86.43 (~v84(constB101, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18970, 13151])).
% 135.79/86.43 tff(18972,plain,
% 135.79/86.43 (~v115(constB101)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14161, 18971])).
% 135.79/86.43 tff(18973,plain,
% 135.79/86.43 (~v145(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14143, 18972, 13294, 13858])).
% 135.79/86.43 tff(18974,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18975,plain,
% 135.79/86.43 (((~v118(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v118(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18976,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1))))),
% 135.79/86.43 inference(monotonicity,[status(thm)],[18975])).
% 135.79/86.43 tff(18977,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.43 inference(transitivity,[status(thm)],[18976, 18974])).
% 135.79/86.43 tff(18978,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18979,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1))),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18978, 18977])).
% 135.79/86.43 tff(18980,plain,
% 135.79/86.43 (~v118(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18979, 3033, 1145, 823, 18955])).
% 135.79/86.43 tff(18981,plain,
% 135.79/86.43 (~v84(constB99, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13360, 13344, 13345, 13354])).
% 135.79/86.43 tff(18982,plain,
% 135.79/86.43 (~v84(constB99, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13457, 13344, 18981])).
% 135.79/86.43 tff(18983,plain,
% 135.79/86.43 (v84(constB99, bitIndex0) | v84(constB99, bitIndex1) | v84(constB99, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13245, 983, 13926])).
% 135.79/86.43 tff(18984,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18983, 18982, 13344, 18981])).
% 135.79/86.43 tff(18985,plain,(v84(constB99, bitIndex1) | v113(constB99) | v145(constB99) | v118(constB99) | v172(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(18986,plain,
% 135.79/86.43 (v84(constB99, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18985, 18980, 13926, 18973, 13354])).
% 135.79/86.43 tff(18987,plain,
% 135.79/86.43 (v84(constB98, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18661, 18986])).
% 135.79/86.43 tff(18988,plain,
% 135.79/86.43 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB98)) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB98)) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18989,plain,
% 135.79/86.43 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB98)) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18990,plain,
% 135.79/86.43 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB98)) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1)),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 135.79/86.43 tff(18991,plain,
% 135.79/86.43 (v123(constB98, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18990, 1344, 823, 15246, 18987])).
% 135.79/86.43 tff(18992,plain,
% 135.79/86.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex1)) | (~v123(constB98, bitIndex1)) | v121(constB97, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex1)) | (~v123(constB98, bitIndex1)) | v121(constB97, bitIndex1))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18993,plain,
% 135.79/86.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex1)) | (~v123(constB98, bitIndex1)) | v121(constB97, bitIndex1))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(18994,plain,
% 135.79/86.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex1)) | (~v123(constB98, bitIndex1)) | v121(constB97, bitIndex1)),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[18993, 18992])).
% 135.79/86.43 tff(18995,plain,
% 135.79/86.43 (v121(constB97, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18994, 1362, 823, 14884, 18991])).
% 135.79/86.43 tff(18996,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex1)) | (~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex1)) | (~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18997,plain,
% 135.79/86.43 ((v26(constB97) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1))) <=> (v26(constB97) | (~less_3(bitIndex1)) | (~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(18998,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex1)) | (~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1)))),
% 135.79/86.43 inference(monotonicity,[status(thm)],[18997])).
% 135.79/86.43 tff(18999,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex1)) | (~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1))),
% 135.79/86.43 inference(transitivity,[status(thm)],[18998, 18996])).
% 135.79/86.43 tff(19000,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex1)) | v124(constB97, bitIndex1) | (~v121(constB97, bitIndex1)))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(19001,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex1)) | (~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1)),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[19000, 18999])).
% 135.79/86.43 tff(19002,plain,
% 135.79/86.43 (v124(constB97, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19001, 1380, 823, 14996, 18995])).
% 135.79/86.43 tff(19003,plain,
% 135.79/86.43 ((~v112(constB99)) | v145(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15106, 2894, 13926])).
% 135.79/86.43 tff(19004,plain,
% 135.79/86.43 (~v112(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19003, 18973])).
% 135.79/86.43 tff(19005,plain,
% 135.79/86.43 (v124(constB99, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14168, 18972, 13294, 13858])).
% 135.79/86.43 tff(19006,assumption,(v110(constB99)), introduced(assumption)).
% 135.79/86.43 tff(19007,plain,
% 135.79/86.43 (v109(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13229, 680, 19006])).
% 135.79/86.43 tff(19008,plain,
% 135.79/86.43 (v108(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13225, 669, 19007])).
% 135.79/86.43 tff(19009,plain,
% 135.79/86.43 (v107(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13221, 658, 19008])).
% 135.79/86.43 tff(19010,assumption,(~v102(constB99)), introduced(assumption)).
% 135.79/86.43 tff(19011,plain,
% 135.79/86.43 (~v106(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13206, 619, 19010])).
% 135.79/86.43 tff(19012,plain,
% 135.79/86.43 (~v26(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13210, 630, 19010])).
% 135.79/86.43 tff(19013,plain,
% 135.79/86.43 (v26(constB99) | v106(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13217, 644, 14878])).
% 135.79/86.43 tff(19014,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19013, 19012, 19011])).
% 135.79/86.43 tff(19015,plain,(v102(constB99) | (~v107(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19016,plain,
% 135.79/86.43 (v102(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19015, 19009])).
% 135.79/86.43 tff(19017,plain,
% 135.79/86.43 (v104(constB100)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13202, 19016])).
% 135.79/86.43 tff(19018,plain,
% 135.79/86.43 (v94(constB100)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13194, 19017])).
% 135.79/86.43 tff(19019,plain,
% 135.79/86.43 (~v123(constB100, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14109, 1674, 823, 19018, 13151])).
% 135.79/86.43 tff(19020,plain,
% 135.79/86.43 (~v121(constB99, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14102, 19019])).
% 135.79/86.43 tff(19021,plain,
% 135.79/86.43 (~v124(constB99, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14094, 1728, 823, 13883, 19020])).
% 135.79/86.43 tff(19022,assumption,(v115(constB99)), introduced(assumption)).
% 135.79/86.43 tff(19023,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(19024,plain,
% 135.79/86.43 (((~v115(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(19025,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1))))),
% 135.79/86.43 inference(monotonicity,[status(thm)],[19024])).
% 135.79/86.43 tff(19026,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.43 inference(transitivity,[status(thm)],[19025, 19023])).
% 135.79/86.43 tff(19027,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB99)) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(19028,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB99)) | v124(constB99, bitIndex1) | (~b011(bitIndex1))),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 135.79/86.43 tff(19029,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19028, 3033, 1193, 823, 14079, 19022])).
% 135.79/86.43 tff(19030,plain,(v124(constB99, bitIndex1) | (~v115(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19031,plain,
% 135.79/86.43 (~v115(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19030, 19021])).
% 135.79/86.43 tff(19032,assumption,(~v112(constB99)), introduced(assumption)).
% 135.79/86.43 tff(19033,plain,
% 135.79/86.43 (v115(constB99) | (~v111(constB99))),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15111, 2911, 19032])).
% 135.79/86.43 tff(19034,plain,
% 135.79/86.43 (~v111(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19033, 19031])).
% 135.79/86.43 tff(19035,plain,
% 135.79/86.43 (v111(constB99) | v116(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15152, 2932, 19006])).
% 135.79/86.43 tff(19036,plain,
% 135.79/86.43 (v116(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19035, 19034])).
% 135.79/86.43 tff(19037,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB99)) | (~v124(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(19038,plain,
% 135.79/86.43 (((~v116(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(19039,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB99)) | (~v124(constB99, bitIndex0))))),
% 135.79/86.43 inference(monotonicity,[status(thm)],[19038])).
% 135.79/86.43 tff(19040,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.43 inference(transitivity,[status(thm)],[19039, 19037])).
% 135.79/86.43 tff(19041,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b100(bitIndex0))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(19042,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB99)) | (~v124(constB99, bitIndex0))),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[19041, 19040])).
% 135.79/86.43 tff(19043,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19042, 2386, 2164, 795, 19036, 13879])).
% 135.79/86.43 tff(19044,plain,((~v124(constB99, bitIndex0)) | (~v110(constB99)) | v112(constB99) | v84(constB100, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19045,plain,
% 135.79/86.43 (~v110(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19044, 19005, 13151, 19004])).
% 135.79/86.43 tff(19046,assumption,(~v110(constB99)), introduced(assumption)).
% 135.79/86.43 tff(19047,plain,
% 135.79/86.43 (~v111(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13233, 691, 19046])).
% 135.79/86.43 tff(19048,plain,
% 135.79/86.43 (~v112(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13237, 702, 19047])).
% 135.79/86.43 tff(19049,plain,
% 135.79/86.43 (~v113(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13241, 969, 19048])).
% 135.79/86.43 tff(19050,plain,
% 135.79/86.43 (~v145(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13252, 713, 19048])).
% 135.79/86.43 tff(19051,plain,
% 135.79/86.43 (~v116(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13282, 934, 19046])).
% 135.79/86.43 tff(19052,plain,
% 135.79/86.43 (v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0)) | v145(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13259, 865, 15046])).
% 135.79/86.43 tff(19053,plain,
% 135.79/86.43 (v84(constB99, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19052, 15091, 13456])).
% 135.79/86.43 tff(19054,plain,
% 135.79/86.43 ((~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex0)) | v116(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13289, 1076, 15046])).
% 135.79/86.43 tff(19055,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19054, 19053, 15091, 13927])).
% 135.79/86.43 tff(19056,plain,((~v84(constB99, bitIndex0)) | v116(constB99) | v84(constB99, bitIndex2) | v145(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19057,plain,
% 135.79/86.43 (~v84(constB99, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19056, 19051, 15046, 19050])).
% 135.79/86.43 tff(19058,plain,
% 135.79/86.43 (~v115(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13273, 945, 19047])).
% 135.79/86.43 tff(19059,plain,
% 135.79/86.43 (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | v115(constB99)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13277, 1095, 15046])).
% 135.79/86.43 tff(19060,plain,
% 135.79/86.43 (~v84(constB99, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19059, 19057, 19058])).
% 135.79/86.43 tff(19061,plain,
% 135.79/86.43 (v113(constB99) | v84(constB99, bitIndex0) | v84(constB99, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[13245, 983, 15046])).
% 135.79/86.43 tff(19062,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19061, 19060, 19057, 19049])).
% 135.79/86.43 tff(19063,plain,(v110(constB99) | v84(constB99, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19064,plain,
% 135.79/86.43 (v84(constB99, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19063, 19045])).
% 135.79/86.43 tff(19065,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18667, 805, 767, 15049, 15061, 13343, 14880])).
% 135.79/86.43 tff(19066,plain,((~v84(constB99, bitIndex2)) | v84(constB98, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19067,plain,
% 135.79/86.43 (v84(constB98, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19066, 19064])).
% 135.79/86.43 tff(19068,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15586, 1344, 767, 15246, 15045, 18521])).
% 135.79/86.43 tff(19069,plain,((~v84(constB98, bitIndex2)) | (~v94(constB98)) | v123(constB98, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19070,plain,
% 135.79/86.43 (v123(constB98, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19069, 19067, 15246])).
% 135.79/86.43 tff(19071,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15591, 1362, 767, 14884, 18529, 18511])).
% 135.79/86.43 tff(19072,plain,((~v123(constB98, bitIndex2)) | v121(constB97, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19073,plain,
% 135.79/86.43 (v121(constB97, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19072, 19070])).
% 135.79/86.43 tff(19074,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15598, 1380, 767, 14996, 18540, 18522])).
% 135.79/86.43 tff(19075,plain,((~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19076,plain,
% 135.79/86.43 (v124(constB97, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19075, 19073])).
% 135.79/86.43 tff(19077,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB97)) | (~v124(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(19078,plain,
% 135.79/86.43 (((~v115(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.79/86.43 inference(rewrite,[status(thm)],[])).
% 135.79/86.43 tff(19079,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB97)) | (~v124(constB97, bitIndex2))))),
% 135.79/86.43 inference(monotonicity,[status(thm)],[19078])).
% 135.79/86.43 tff(19080,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.79/86.43 inference(transitivity,[status(thm)],[19079, 19077])).
% 135.79/86.43 tff(19081,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b011(bitIndex2))),
% 135.79/86.43 inference(quant_inst,[status(thm)],[])).
% 135.79/86.43 tff(19082,plain,
% 135.79/86.43 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB97)) | (~v124(constB97, bitIndex2))),
% 135.79/86.43 inference(modus_ponens,[status(thm)],[19081, 19080])).
% 135.79/86.43 tff(19083,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19082, 2030, 2257, 767, 15562, 18530])).
% 135.79/86.43 tff(19084,plain,((~v124(constB97, bitIndex2)) | (~v115(constB97))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19085,plain,
% 135.79/86.43 (~v115(constB97)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19084, 19076])).
% 135.79/86.43 tff(19086,plain,
% 135.79/86.43 (v94(constB96)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[17505, 15212])).
% 135.79/86.43 tff(19087,plain,
% 135.79/86.43 (~v123(constB96, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15222, 15212, 19086])).
% 135.79/86.43 tff(19088,plain,
% 135.79/86.43 (v84(constB96, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15545, 19087, 15286, 15178])).
% 135.79/86.43 tff(19089,plain,
% 135.79/86.43 (v84(constB97, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15552, 19088])).
% 135.79/86.43 tff(19090,plain,
% 135.79/86.43 (v84(constB96, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15539, 15298, 15297])).
% 135.79/86.43 tff(19091,plain,
% 135.79/86.43 (~v84(constB97, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18358, 15298])).
% 135.79/86.43 tff(19092,plain,
% 135.79/86.43 (~v84(constB97, bitIndex0)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[14985, 19091, 14966, 14968])).
% 135.79/86.43 tff(19093,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15552, 19092, 19090])).
% 135.79/86.43 tff(19094,plain,(v84(constB96, bitIndex2) | v116(constB97) | v145(constB97) | v123(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19095,plain,
% 135.79/86.43 (v84(constB96, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19094, 19087, 14968, 14966])).
% 135.79/86.43 tff(19096,plain,
% 135.79/86.43 (v84(constB97, bitIndex2)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18501, 19095])).
% 135.79/86.43 tff(19097,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[15233, 19096, 19089, 15178, 15225])).
% 135.79/86.43 tff(19098,plain,(v84(constB97, bitIndex1) | v118(constB97) | v145(constB97) | v116(constB97) | v172(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19099,plain,
% 135.79/86.43 (v84(constB97, bitIndex1)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19098, 14966, 14968, 15225, 15286])).
% 135.79/86.43 tff(19100,plain,
% 135.79/86.43 (~v113(constB97)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18392, 1465, 19099])).
% 135.79/86.43 tff(19101,plain,
% 135.79/86.43 ($false),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[18684, 2427, 2424, 767, 14968, 19100, 14930, 14966, 18530, 15286, 15225])).
% 135.79/86.43 tff(19102,plain,((~v124(constB97, bitIndex2)) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.43 tff(19103,plain,
% 135.79/86.43 (v116(constB97)),
% 135.79/86.43 inference(unit_resolution,[status(thm)],[19102, 19076, 15286, 14968, 19085, 15225])).
% 135.79/86.43 tff(19104,plain,
% 135.79/86.43 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB97)) | (~v124(constB97, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB97)) | (~v124(constB97, bitIndex1)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19105,plain,
% 135.79/86.44 (((~v116(constB97)) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB97)) | (~v124(constB97, bitIndex1)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19106,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB97)) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB97)) | (~v124(constB97, bitIndex1))))),
% 135.79/86.44 inference(monotonicity,[status(thm)],[19105])).
% 135.79/86.44 tff(19107,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB97)) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB97)) | (~v124(constB97, bitIndex1)))),
% 135.79/86.44 inference(transitivity,[status(thm)],[19106, 19104])).
% 135.79/86.44 tff(19108,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB97)) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)) | b100(bitIndex1))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19109,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB97)) | (~v124(constB97, bitIndex1))),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19108, 19107])).
% 135.79/86.44 tff(19110,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19109, 2167, 2164, 823, 19103, 19002])).
% 135.79/86.44 tff(19111,plain,(v84(constB100, bitIndex1) | (~v94(constB98)) | v113(constB99) | v172(constB99) | (~v94(constB100)) | v172(constB97) | v145(constB97) | v118(constB97) | v84(constB101, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19112,plain,
% 135.79/86.44 (v113(constB99)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19111, 13294, 13151, 18965, 13858, 15225, 15246, 15286, 14968])).
% 135.79/86.44 tff(19113,plain,
% 135.79/86.44 (v124(constB99, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13909, 19112])).
% 135.79/86.44 tff(19114,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13958, 14166, 19113])).
% 135.79/86.44 tff(19115,plain,(v84(constB101, bitIndex2) | (~v94(constB100)) | v84(constB100, bitIndex1) | v118(constB97) | (~v94(constB98)) | v172(constB97) | v145(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19116,plain,
% 135.79/86.44 (v84(constB100, bitIndex1)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19115, 18952, 13294, 18948, 14155, 17508, 14852])).
% 135.79/86.44 tff(19117,plain,
% 135.79/86.44 (v84(constB101, bitIndex1)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13487, 19116])).
% 135.79/86.44 tff(19118,plain,
% 135.79/86.44 (v145(constB103)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14619, 9314, 9275])).
% 135.79/86.44 tff(19119,plain,
% 135.79/86.44 (v84(constB102, bitIndex0)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14768, 10759])).
% 135.79/86.44 tff(19120,assumption,(~v172(constB100)), introduced(assumption)).
% 135.79/86.44 tff(19121,plain,
% 135.79/86.44 (v94(constB100)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13482, 13151])).
% 135.79/86.44 tff(19122,plain,
% 135.79/86.44 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB100)) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB100)) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19123,plain,
% 135.79/86.44 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB100)) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19124,plain,
% 135.79/86.44 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB100)) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2)),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19123, 19122])).
% 135.79/86.44 tff(19125,plain,
% 135.79/86.44 ((~v94(constB100)) | v123(constB100, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19124, 1344, 767, 13295])).
% 135.79/86.44 tff(19126,plain,
% 135.79/86.44 (v123(constB100, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19125, 19121])).
% 135.79/86.44 tff(19127,plain,
% 135.79/86.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v121(constB99, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v121(constB99, bitIndex2))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19128,plain,
% 135.79/86.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v121(constB99, bitIndex2))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19129,plain,
% 135.79/86.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex2)) | (~v123(constB100, bitIndex2)) | v121(constB99, bitIndex2)),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19128, 19127])).
% 135.79/86.44 tff(19130,plain,
% 135.79/86.44 (v121(constB99, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19129, 1362, 767, 13154, 19126])).
% 135.79/86.44 tff(19131,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex2)) | (~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex2)) | (~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19132,plain,
% 135.79/86.44 ((v26(constB99) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2))) <=> (v26(constB99) | (~less_3(bitIndex2)) | (~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19133,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex2)) | (~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(monotonicity,[status(thm)],[19132])).
% 135.79/86.44 tff(19134,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex2)) | (~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2))),
% 135.79/86.44 inference(transitivity,[status(thm)],[19133, 19131])).
% 135.79/86.44 tff(19135,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex2)) | v124(constB99, bitIndex2) | (~v121(constB99, bitIndex2)))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19136,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex2)) | (~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19135, 19134])).
% 135.79/86.44 tff(19137,plain,
% 135.79/86.44 (v124(constB99, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19136, 1380, 767, 13883, 19130])).
% 135.79/86.44 tff(19138,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB99)) | (~v124(constB99, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19139,plain,
% 135.79/86.44 (((~v115(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19140,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB99)) | (~v124(constB99, bitIndex2))))),
% 135.79/86.44 inference(monotonicity,[status(thm)],[19139])).
% 135.79/86.44 tff(19141,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(transitivity,[status(thm)],[19140, 19138])).
% 135.79/86.44 tff(19142,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b011(bitIndex2))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19143,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB99)) | (~v124(constB99, bitIndex2))),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19142, 19141])).
% 135.79/86.44 tff(19144,plain,
% 135.79/86.44 (~v115(constB99)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19143, 2030, 2257, 767, 19137])).
% 135.79/86.44 tff(19145,plain,
% 135.79/86.44 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB100, bitIndex0) | v84(constB100, bitIndex1) | (~v84(constB100, bitIndex2)) | v172(constB100))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB100, bitIndex0) | v84(constB100, bitIndex1) | (~v84(constB100, bitIndex2)) | v172(constB100))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19146,plain,
% 135.79/86.44 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB100, bitIndex0) | v84(constB100, bitIndex1) | (~v84(constB100, bitIndex2)) | v172(constB100))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19147,plain,
% 135.79/86.44 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB100, bitIndex0) | v84(constB100, bitIndex1) | (~v84(constB100, bitIndex2)) | v172(constB100)),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19146, 19145])).
% 135.79/86.44 tff(19148,plain,
% 135.79/86.44 (v84(constB100, bitIndex0) | v84(constB100, bitIndex1) | v172(constB100)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19147, 1047, 13295])).
% 135.79/86.44 tff(19149,plain,
% 135.79/86.44 (v84(constB100, bitIndex0)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19148, 13151, 19120])).
% 135.79/86.44 tff(19150,plain,
% 135.79/86.44 (v123(constB100, bitIndex0)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14123, 1344, 795, 19121, 19149])).
% 135.79/86.44 tff(19151,plain,
% 135.79/86.44 (v121(constB99, bitIndex0)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14127, 1362, 795, 13154, 19150])).
% 135.79/86.44 tff(19152,plain,
% 135.79/86.44 (v124(constB99, bitIndex0)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14134, 1380, 795, 13883, 19151])).
% 135.79/86.44 tff(19153,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB99)) | (~v124(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19154,plain,
% 135.79/86.44 (((~v113(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19155,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB99)) | (~v124(constB99, bitIndex0))))),
% 135.79/86.44 inference(monotonicity,[status(thm)],[19154])).
% 135.79/86.44 tff(19156,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.44 inference(transitivity,[status(thm)],[19155, 19153])).
% 135.79/86.44 tff(19157,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b100(bitIndex0))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19158,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB99)) | (~v124(constB99, bitIndex0))),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19157, 19156])).
% 135.79/86.44 tff(19159,plain,
% 135.79/86.44 (~v113(constB99)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19158, 2386, 2186, 795, 19152])).
% 135.79/86.44 tff(19160,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB99)) | (~v124(constB99, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19161,plain,
% 135.79/86.44 (((~v145(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19162,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB99)) | (~v124(constB99, bitIndex2))))),
% 135.79/86.44 inference(monotonicity,[status(thm)],[19161])).
% 135.79/86.44 tff(19163,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(transitivity,[status(thm)],[19162, 19160])).
% 135.79/86.44 tff(19164,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b010(bitIndex2))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19165,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB99)) | (~v124(constB99, bitIndex2))),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19164, 19163])).
% 135.79/86.44 tff(19166,plain,
% 135.79/86.44 (~v145(constB99)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19165, 1419, 1416, 767, 19137])).
% 135.79/86.44 tff(19167,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB99)) | (~v124(constB99, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19168,plain,
% 135.79/86.44 (((~v118(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19169,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB99)) | (~v124(constB99, bitIndex2))))),
% 135.79/86.44 inference(monotonicity,[status(thm)],[19168])).
% 135.79/86.44 tff(19170,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB99)) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(transitivity,[status(thm)],[19169, 19167])).
% 135.79/86.44 tff(19171,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB99)) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b011(bitIndex2))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19172,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB99)) | (~v124(constB99, bitIndex2))),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19171, 19170])).
% 135.79/86.44 tff(19173,plain,
% 135.79/86.44 (~v118(constB99)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19172, 2030, 2027, 767, 19137])).
% 135.79/86.44 tff(19174,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB99)) | (~v124(constB99, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19175,plain,
% 135.79/86.44 (((~v172(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19176,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB99)) | (~v124(constB99, bitIndex0))))),
% 135.79/86.44 inference(monotonicity,[status(thm)],[19175])).
% 135.79/86.44 tff(19177,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB99)) | (~v124(constB99, bitIndex0)))),
% 135.79/86.44 inference(transitivity,[status(thm)],[19176, 19174])).
% 135.79/86.44 tff(19178,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB99)) | (~less_3(bitIndex0)) | (~v124(constB99, bitIndex0)) | b110(bitIndex0))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19179,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB99)) | (~v124(constB99, bitIndex0))),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19178, 19177])).
% 135.79/86.44 tff(19180,plain,
% 135.79/86.44 (~v172(constB99)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19179, 1997, 1994, 795, 19152])).
% 135.79/86.44 tff(19181,plain,
% 135.79/86.44 (~v116(constB99)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19042, 2386, 2164, 795, 19152])).
% 135.79/86.44 tff(19182,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19183,plain,
% 135.79/86.44 ((v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19184,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex2))))),
% 135.79/86.44 inference(monotonicity,[status(thm)],[19183])).
% 135.79/86.44 tff(19185,plain,
% 135.79/86.44 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex2)))),
% 135.79/86.44 inference(transitivity,[status(thm)],[19184, 19182])).
% 135.79/86.44 tff(19186,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex2)) | (~v124(constB99, bitIndex2)) | b001(bitIndex2))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19187,plain,
% 135.79/86.44 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex2))),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19186, 19185])).
% 135.79/86.44 tff(19188,plain,
% 135.79/86.44 (v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19187, 2427, 2424, 767, 19137])).
% 135.79/86.44 tff(19189,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19188, 19181, 19180, 19173, 19166, 19159, 19144])).
% 135.79/86.44 tff(19190,plain,(v84(constB100, bitIndex1) | (~v84(constB100, bitIndex2)) | v172(constB100)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19191,plain,
% 135.79/86.44 (~v84(constB100, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19190, 13151, 19120])).
% 135.79/86.44 tff(19192,plain,
% 135.79/86.44 (v84(constB101, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14215, 18971, 14194])).
% 135.79/86.44 tff(19193,plain,
% 135.79/86.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB100, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB100, bitIndex2))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19194,plain,
% 135.79/86.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB100, bitIndex2))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19195,plain,
% 135.79/86.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB100, constB101)) | v94(constB101) | (~less_3(bitIndex2)) | (~v84(constB101, bitIndex2)) | v84(constB100, bitIndex2)),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19194, 19193])).
% 135.79/86.44 tff(19196,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19195, 805, 767, 13301, 13313, 13150, 13321])).
% 135.79/86.44 tff(19197,plain,((~v84(constB101, bitIndex2)) | v84(constB100, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19198,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19197, 19192, 19191])).
% 135.79/86.44 tff(19199,plain,(v84(constB100, bitIndex1) | (~v84(constB102, bitIndex0)) | v172(constB100)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19200,plain,
% 135.79/86.44 (v172(constB100)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19199, 19119, 13151])).
% 135.79/86.44 tff(19201,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14373, 816, 10752, 14355])).
% 135.79/86.44 tff(19202,plain,((~v145(constB103)) | (~v84(constB103, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19203,plain,
% 135.79/86.44 (~v84(constB103, bitIndex1)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19202, 10752])).
% 135.79/86.44 tff(19204,plain,
% 135.79/86.44 (~v84(constB102, bitIndex1)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14349, 19203])).
% 135.79/86.44 tff(19205,plain,
% 135.79/86.44 (~v172(constB101)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13781, 19204])).
% 135.79/86.44 tff(19206,plain,
% 135.79/86.44 (v84(constB101, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14215, 19119, 18971])).
% 135.79/86.44 tff(19207,plain,
% 135.79/86.44 (~v113(constB101)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13326, 19206])).
% 135.79/86.44 tff(19208,plain,
% 135.79/86.44 (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | (~v84(constB101, bitIndex2))),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13785, 1047, 13472])).
% 135.79/86.44 tff(19209,plain,
% 135.79/86.44 (~v84(constB101, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19208, 13484, 13384])).
% 135.79/86.44 tff(19210,plain,
% 135.79/86.44 (v84(constB101, bitIndex0) | v84(constB101, bitIndex1) | v84(constB101, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13818, 983, 13505])).
% 135.79/86.44 tff(19211,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19210, 19209, 13484, 13384])).
% 135.79/86.44 tff(19212,plain,(v84(constB101, bitIndex1) | v84(constB101, bitIndex0) | v113(constB101) | v172(constB101)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19213,plain,
% 135.79/86.44 (v84(constB101, bitIndex0)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19212, 19207, 18971, 19205])).
% 135.79/86.44 tff(19214,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13431, 805, 795, 13301, 13313, 13374, 13678])).
% 135.79/86.44 tff(19215,plain,((~v84(constB101, bitIndex0)) | v84(constB100, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19216,plain,
% 135.79/86.44 (v84(constB100, bitIndex0)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19215, 19213])).
% 135.79/86.44 tff(19217,plain,
% 135.79/86.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB100, bitIndex0)) | (~v172(constB100)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB100, bitIndex0)) | (~v172(constB100)))),
% 135.79/86.44 inference(rewrite,[status(thm)],[])).
% 135.79/86.44 tff(19218,plain,
% 135.79/86.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB100, bitIndex0)) | (~v172(constB100)))),
% 135.79/86.44 inference(quant_inst,[status(thm)],[])).
% 135.79/86.44 tff(19219,plain,
% 135.79/86.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB100, bitIndex0)) | (~v172(constB100))),
% 135.79/86.44 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 135.79/86.44 tff(19220,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19219, 7708, 19216, 19200])).
% 135.79/86.44 tff(19221,plain,((~v145(constB103)) | v84(constB100, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19222,plain,
% 135.79/86.44 (v84(constB100, bitIndex1)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19221, 10752])).
% 135.79/86.44 tff(19223,plain,
% 135.79/86.44 (v84(constB101, bitIndex1)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[13487, 19222])).
% 135.79/86.44 tff(19224,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14230, 1076, 13294, 13678, 13790, 13519])).
% 135.79/86.44 tff(19225,plain,(v116(constB101) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex0)) | (~v84(constB101, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19226,plain,
% 135.79/86.44 (v116(constB101)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19225, 19223, 13678, 13294])).
% 135.79/86.44 tff(19227,assumption,(v116(constB101)), introduced(assumption)).
% 135.79/86.44 tff(19228,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14583, 1772, 1769, 767, 14062, 19227])).
% 135.79/86.44 tff(19229,plain,(v124(constB101, bitIndex2) | (~v116(constB101))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19230,plain,
% 135.79/86.44 (v124(constB101, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19229, 19226])).
% 135.79/86.44 tff(19231,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14060, 1728, 767, 13653, 14480, 14473])).
% 135.79/86.44 tff(19232,plain,(v121(constB101, bitIndex2) | (~v124(constB101, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.44 tff(19233,plain,
% 135.79/86.44 (v121(constB101, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[19232, 19230])).
% 135.79/86.44 tff(19234,plain,
% 135.79/86.44 (v123(constB102, bitIndex2)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14053, 19233])).
% 135.79/86.44 tff(19235,plain,
% 135.79/86.44 (v94(constB102)),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14246, 13675])).
% 135.79/86.44 tff(19236,plain,
% 135.79/86.44 ($false),
% 135.79/86.44 inference(unit_resolution,[status(thm)],[14044, 1674, 767, 14003, 13675, 14474])).
% 135.79/86.44 tff(19237,plain,(v84(constB102, bitIndex2) | (~v94(constB102)) | (~v123(constB102, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19238,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19237, 19235, 13675, 14474])).
% 135.79/86.45 tff(19239,plain,(v84(constB102, bitIndex2) | (~v123(constB102, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19240,plain,
% 135.79/86.45 (v84(constB102, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19239, 19234])).
% 135.79/86.45 tff(19241,plain,
% 135.79/86.45 (v84(constB103, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14267, 19240])).
% 135.79/86.45 tff(19242,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18744, 725, 10752, 19241])).
% 135.79/86.45 tff(19243,plain,((~v145(constB103)) | (~v84(constB101, bitIndex0)) | v84(constB101, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19244,plain,
% 135.79/86.45 (~v84(constB101, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19243, 19118, 13294])).
% 135.79/86.45 tff(19245,plain,
% 135.79/86.45 (~v84(constB100, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13390, 19244])).
% 135.79/86.45 tff(19246,plain,
% 135.79/86.45 (~v123(constB100, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13868, 19245])).
% 135.79/86.45 tff(19247,plain,
% 135.79/86.45 (~v121(constB99, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13876, 19246])).
% 135.79/86.45 tff(19248,plain,
% 135.79/86.45 (v94(constB102)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14246, 14573])).
% 135.79/86.45 tff(19249,plain,
% 135.79/86.45 (~v123(constB102, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14587, 14568, 19248])).
% 135.79/86.45 tff(19250,plain,
% 135.79/86.45 (~v121(constB101, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14592, 19249])).
% 135.79/86.45 tff(19251,assumption,(~v121(constB101, bitIndex1)), introduced(assumption)).
% 135.79/86.45 tff(19252,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13772, 1728, 823, 13653, 13404, 19251])).
% 135.79/86.45 tff(19253,plain,(v121(constB101, bitIndex1) | (~v124(constB101, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19254,plain,
% 135.79/86.45 (~v124(constB101, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19253, 19250])).
% 135.79/86.45 tff(19255,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14608, 3033, 1193, 823, 14156, 13495])).
% 135.79/86.45 tff(19256,plain,(v124(constB101, bitIndex1) | (~v115(constB101))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19257,plain,
% 135.79/86.45 (~v115(constB101)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19256, 19254])).
% 135.79/86.45 tff(19258,plain,
% 135.79/86.45 (v124(constB99, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14168, 19257, 13294, 14155])).
% 135.79/86.45 tff(19259,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13891, 19258, 19247])).
% 135.79/86.45 tff(19260,plain,(v84(constB103, bitIndex1) | v84(constB101, bitIndex2) | v84(constB103, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19261,plain,
% 135.79/86.45 (v84(constB103, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19260, 9275, 13294])).
% 135.79/86.45 tff(19262,plain,
% 135.79/86.45 (v84(constB103, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14619, 9275, 11445])).
% 135.79/86.45 tff(19263,plain,
% 135.79/86.45 ((~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0))),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[9294, 1076, 11487])).
% 135.79/86.45 tff(19264,plain,
% 135.79/86.45 (~v84(constB103, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19263, 19262, 9275])).
% 135.79/86.45 tff(19265,plain,
% 135.79/86.45 (~v84(constB102, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14353, 19264])).
% 135.79/86.45 tff(19266,plain,
% 135.79/86.45 (~v123(constB102, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14011, 19265, 19248])).
% 135.79/86.45 tff(19267,assumption,(v121(constB101, bitIndex0)), introduced(assumption)).
% 135.79/86.45 tff(19268,assumption,(~v123(constB102, bitIndex0)), introduced(assumption)).
% 135.79/86.45 tff(19269,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14015, 1708, 795, 13597, 19268, 19267])).
% 135.79/86.45 tff(19270,plain,(v123(constB102, bitIndex0) | (~v121(constB101, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19271,plain,
% 135.79/86.45 (~v121(constB101, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19270, 19266])).
% 135.79/86.45 tff(19272,plain,
% 135.79/86.45 (v84(constB102, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14453, 19262])).
% 135.79/86.45 tff(19273,plain,
% 135.79/86.45 (~v123(constB102, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19239, 14573])).
% 135.79/86.45 tff(19274,plain,
% 135.79/86.45 (~v121(constB101, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14053, 19273])).
% 135.79/86.45 tff(19275,plain,
% 135.79/86.45 (~v124(constB101, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19232, 19274])).
% 135.79/86.45 tff(19276,plain,
% 135.79/86.45 (~v116(constB101)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19229, 19275])).
% 135.79/86.45 tff(19277,plain,
% 135.79/86.45 (~v84(constB101, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19225, 19276, 13790, 13294])).
% 135.79/86.45 tff(19278,plain,
% 135.79/86.45 (v145(constB99)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14075, 19277, 14573, 19265, 19272])).
% 135.79/86.45 tff(19279,plain,
% 135.79/86.45 (v115(constB101)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14143, 19278, 13294, 13858])).
% 135.79/86.45 tff(19280,assumption,(~v124(constB101, bitIndex0)), introduced(assumption)).
% 135.79/86.45 tff(19281,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14036, 1148, 1193, 795, 14156, 19280])).
% 135.79/86.45 tff(19282,plain,(v124(constB101, bitIndex0) | (~v115(constB101))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19283,plain,
% 135.79/86.45 (v124(constB101, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19282, 19279])).
% 135.79/86.45 tff(19284,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14022, 1728, 795, 13653, 19283, 19271])).
% 135.79/86.45 tff(19285,plain,(v84(constB103, bitIndex2) | v84(constB101, bitIndex2) | (~v94(constB100)) | (~v84(constB101, bitIndex1)) | v116(constB103) | v145(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19286,plain,
% 135.79/86.45 (v145(constB103)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19285, 9275, 13294, 14155, 11487, 13790])).
% 135.79/86.45 tff(19287,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19202, 19286, 19261])).
% 135.79/86.45 tff(19288,plain,(v84(constB103, bitIndex2) | v84(constB101, bitIndex2) | v116(constB103) | (~v84(constB101, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19289,plain,
% 135.79/86.45 (v84(constB103, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19288, 19117, 11487, 13294])).
% 135.79/86.45 tff(19290,plain,
% 135.79/86.45 (v94(constB100)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14433, 9380])).
% 135.79/86.45 tff(19291,plain,
% 135.79/86.45 (v84(constB102, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14470, 9313])).
% 135.79/86.45 tff(19292,plain,
% 135.79/86.45 (v94(constB102)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13839, 13294])).
% 135.79/86.45 tff(19293,plain,
% 135.79/86.45 (~v123(constB102, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14587, 19292, 13691])).
% 135.79/86.45 tff(19294,plain,
% 135.79/86.45 (v115(constB101)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14143, 13294, 14078, 13858])).
% 135.79/86.45 tff(19295,plain,
% 135.79/86.45 (v124(constB101, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19256, 19294])).
% 135.79/86.45 tff(19296,plain,
% 135.79/86.45 (v121(constB101, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19253, 19295])).
% 135.79/86.45 tff(19297,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14592, 19296, 19293])).
% 135.79/86.45 tff(19298,plain,(v84(constB101, bitIndex2) | v84(constB102, bitIndex1) | (~v84(constB102, bitIndex2)) | (~v145(constB99)) | (~v94(constB100))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19299,plain,
% 135.79/86.45 (v84(constB102, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19298, 19291, 13294, 14078, 19290])).
% 135.79/86.45 tff(19300,plain,
% 135.79/86.45 (v84(constB103, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14349, 19299])).
% 135.79/86.45 tff(19301,plain,
% 135.79/86.45 (~v172(constB103)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14394, 19300])).
% 135.79/86.45 tff(19302,plain,
% 135.79/86.45 (~v84(constB103, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[14389, 19301, 9380, 6519, 9313, 19300])).
% 135.79/86.45 tff(19303,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[9185, 1910, 14512, 9313, 19300, 19302])).
% 135.79/86.45 tff(19304,plain,((~v84(constB103, bitIndex2)) | (~v107(constB105)) | v145(constB105) | v84(constB101, bitIndex2) | (~v145(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19305,plain,
% 135.79/86.45 (~v145(constB99)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19304, 19289, 14832, 13294, 14816])).
% 135.79/86.45 tff(19306,plain,
% 135.79/86.45 (v124(constB99, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13947, 19305, 14840])).
% 135.79/86.45 tff(19307,plain,
% 135.79/86.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB100)) | (~v84(constB100, bitIndex1)) | v123(constB100, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB100)) | (~v84(constB100, bitIndex1)) | v123(constB100, bitIndex1))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19308,plain,
% 135.79/86.45 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB100)) | (~v84(constB100, bitIndex1)) | v123(constB100, bitIndex1))),
% 135.79/86.45 inference(quant_inst,[status(thm)],[])).
% 135.79/86.45 tff(19309,plain,
% 135.79/86.45 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB100)) | (~v84(constB100, bitIndex1)) | v123(constB100, bitIndex1)),
% 135.79/86.45 inference(modus_ponens,[status(thm)],[19308, 19307])).
% 135.79/86.45 tff(19310,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19309, 1344, 823, 13858, 13485, 14097])).
% 135.79/86.45 tff(19311,plain,((~v84(constB100, bitIndex1)) | (~v94(constB100)) | v123(constB100, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19312,plain,
% 135.79/86.45 (v123(constB100, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19311, 19116, 14155])).
% 135.79/86.45 tff(19313,assumption,(v123(constB100, bitIndex1)), introduced(assumption)).
% 135.79/86.45 tff(19314,assumption,(~v121(constB99, bitIndex1)), introduced(assumption)).
% 135.79/86.45 tff(19315,plain,
% 135.79/86.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v121(constB99, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v121(constB99, bitIndex1))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19316,plain,
% 135.79/86.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB99, constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v121(constB99, bitIndex1))),
% 135.79/86.45 inference(quant_inst,[status(thm)],[])).
% 135.79/86.45 tff(19317,plain,
% 135.79/86.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB99, constB100)) | (~less_3(bitIndex1)) | (~v123(constB100, bitIndex1)) | v121(constB99, bitIndex1)),
% 135.79/86.45 inference(modus_ponens,[status(thm)],[19316, 19315])).
% 135.79/86.45 tff(19318,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19317, 1362, 823, 13154, 19314, 19313])).
% 135.79/86.45 tff(19319,plain,((~v123(constB100, bitIndex1)) | v121(constB99, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19320,plain,
% 135.79/86.45 (v121(constB99, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19319, 19312])).
% 135.79/86.45 tff(19321,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex1)) | (~v121(constB99, bitIndex1)) | v124(constB99, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex1)) | (~v121(constB99, bitIndex1)) | v124(constB99, bitIndex1))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19322,plain,
% 135.79/86.45 ((v26(constB99) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~v121(constB99, bitIndex1))) <=> (v26(constB99) | (~less_3(bitIndex1)) | (~v121(constB99, bitIndex1)) | v124(constB99, bitIndex1))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19323,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~v121(constB99, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex1)) | (~v121(constB99, bitIndex1)) | v124(constB99, bitIndex1)))),
% 135.79/86.45 inference(monotonicity,[status(thm)],[19322])).
% 135.79/86.45 tff(19324,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~v121(constB99, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex1)) | (~v121(constB99, bitIndex1)) | v124(constB99, bitIndex1))),
% 135.79/86.45 inference(transitivity,[status(thm)],[19323, 19321])).
% 135.79/86.45 tff(19325,plain,
% 135.79/86.45 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB99) | (~less_3(bitIndex1)) | v124(constB99, bitIndex1) | (~v121(constB99, bitIndex1)))),
% 135.79/86.45 inference(quant_inst,[status(thm)],[])).
% 135.79/86.45 tff(19326,plain,
% 135.79/86.45 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB99) | (~less_3(bitIndex1)) | (~v121(constB99, bitIndex1)) | v124(constB99, bitIndex1)),
% 135.79/86.45 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 135.79/86.45 tff(19327,plain,
% 135.79/86.45 (v124(constB99, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19326, 1380, 823, 13883, 19320])).
% 135.79/86.45 tff(19328,assumption,(v124(constB99, bitIndex1)), introduced(assumption)).
% 135.79/86.45 tff(19329,assumption,(v116(constB99)), introduced(assumption)).
% 135.79/86.45 tff(19330,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB99)) | (~v124(constB99, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB99)) | (~v124(constB99, bitIndex1)))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19331,plain,
% 135.79/86.45 (((~v116(constB99)) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB99)) | (~v124(constB99, bitIndex1)))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19332,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB99)) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB99)) | (~v124(constB99, bitIndex1))))),
% 135.79/86.45 inference(monotonicity,[status(thm)],[19331])).
% 135.79/86.45 tff(19333,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB99)) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB99)) | (~v124(constB99, bitIndex1)))),
% 135.79/86.45 inference(transitivity,[status(thm)],[19332, 19330])).
% 135.79/86.45 tff(19334,plain,
% 135.79/86.45 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB99)) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | b100(bitIndex1))),
% 135.79/86.45 inference(quant_inst,[status(thm)],[])).
% 135.79/86.45 tff(19335,plain,
% 135.79/86.45 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB99)) | (~v124(constB99, bitIndex1))),
% 135.79/86.45 inference(modus_ponens,[status(thm)],[19334, 19333])).
% 135.79/86.45 tff(19336,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19335, 2167, 2164, 823, 19329, 19328])).
% 135.79/86.45 tff(19337,plain,((~v124(constB99, bitIndex1)) | (~v116(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19338,plain,
% 135.79/86.45 (~v116(constB99)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19337, 19327])).
% 135.79/86.45 tff(19339,plain,
% 135.79/86.45 (~v113(constB99)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13909, 14840])).
% 135.79/86.45 tff(19340,plain,
% 135.79/86.45 (v124(constB97, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[17791, 15562])).
% 135.79/86.45 tff(19341,assumption,(~v121(constB97, bitIndex0)), introduced(assumption)).
% 135.79/86.45 tff(19342,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex0)) | v121(constB97, bitIndex0) | (~v124(constB97, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex0)) | v121(constB97, bitIndex0) | (~v124(constB97, bitIndex0)))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19343,plain,
% 135.79/86.45 ((v26(constB97) | v121(constB97, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0))) <=> (v26(constB97) | (~less_3(bitIndex0)) | v121(constB97, bitIndex0) | (~v124(constB97, bitIndex0)))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19344,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex0)) | v121(constB97, bitIndex0) | (~v124(constB97, bitIndex0))))),
% 135.79/86.45 inference(monotonicity,[status(thm)],[19343])).
% 135.79/86.45 tff(19345,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex0)) | v121(constB97, bitIndex0) | (~v124(constB97, bitIndex0)))),
% 135.79/86.45 inference(transitivity,[status(thm)],[19344, 19342])).
% 135.79/86.45 tff(19346,plain,
% 135.79/86.45 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB97) | v121(constB97, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)))),
% 135.79/86.45 inference(quant_inst,[status(thm)],[])).
% 135.79/86.45 tff(19347,plain,
% 135.79/86.45 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex0)) | v121(constB97, bitIndex0) | (~v124(constB97, bitIndex0))),
% 135.79/86.45 inference(modus_ponens,[status(thm)],[19346, 19345])).
% 135.79/86.45 tff(19348,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19347, 1728, 795, 14996, 17793, 19341])).
% 135.79/86.45 tff(19349,plain,(v121(constB97, bitIndex0) | (~v124(constB97, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19350,plain,
% 135.79/86.45 (v121(constB97, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19349, 19340])).
% 135.79/86.45 tff(19351,assumption,(~v123(constB98, bitIndex0)), introduced(assumption)).
% 135.79/86.45 tff(19352,assumption,(v121(constB97, bitIndex0)), introduced(assumption)).
% 135.79/86.45 tff(19353,plain,
% 135.79/86.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex0)) | v123(constB98, bitIndex0) | (~v121(constB97, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex0)) | v123(constB98, bitIndex0) | (~v121(constB97, bitIndex0)))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19354,plain,
% 135.79/86.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex0)) | v123(constB98, bitIndex0) | (~v121(constB97, bitIndex0)))),
% 135.79/86.45 inference(quant_inst,[status(thm)],[])).
% 135.79/86.45 tff(19355,plain,
% 135.79/86.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex0)) | v123(constB98, bitIndex0) | (~v121(constB97, bitIndex0))),
% 135.79/86.45 inference(modus_ponens,[status(thm)],[19354, 19353])).
% 135.79/86.45 tff(19356,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19355, 1708, 795, 14884, 19352, 19351])).
% 135.79/86.45 tff(19357,plain,(v123(constB98, bitIndex0) | (~v121(constB97, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19358,plain,
% 135.79/86.45 (v123(constB98, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19357, 19350])).
% 135.79/86.45 tff(19359,assumption,(v123(constB98, bitIndex0)), introduced(assumption)).
% 135.79/86.45 tff(19360,plain,
% 135.79/86.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v84(constB98, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v84(constB98, bitIndex0))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19361,plain,
% 135.79/86.45 (((~less_3(bitIndex0)) | (~v94(constB98)) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0))) <=> ((~v94(constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v84(constB98, bitIndex0))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19362,plain,
% 135.79/86.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB98)) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v84(constB98, bitIndex0)))),
% 135.79/86.45 inference(monotonicity,[status(thm)],[19361])).
% 135.79/86.45 tff(19363,plain,
% 135.79/86.45 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB98)) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v84(constB98, bitIndex0))),
% 135.79/86.45 inference(transitivity,[status(thm)],[19362, 19360])).
% 135.79/86.45 tff(19364,plain,
% 135.79/86.45 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB98)) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0)))),
% 135.79/86.45 inference(quant_inst,[status(thm)],[])).
% 135.79/86.45 tff(19365,plain,
% 135.79/86.45 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v84(constB98, bitIndex0)),
% 135.79/86.45 inference(modus_ponens,[status(thm)],[19364, 19363])).
% 135.79/86.45 tff(19366,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19365, 1674, 795, 15246, 15163, 19359])).
% 135.79/86.45 tff(19367,plain,(v84(constB98, bitIndex0) | (~v94(constB98)) | (~v123(constB98, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19368,plain,
% 135.79/86.45 (v84(constB98, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19367, 19358, 15246])).
% 135.79/86.45 tff(19369,plain,
% 135.79/86.45 (v84(constB99, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[15161, 19368])).
% 135.79/86.45 tff(19370,plain,
% 135.79/86.45 (~v124(constB97, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19084, 15562])).
% 135.79/86.45 tff(19371,plain,
% 135.79/86.45 (~v121(constB97, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19075, 19370])).
% 135.79/86.45 tff(19372,plain,
% 135.79/86.45 (~v123(constB98, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19072, 19371])).
% 135.79/86.45 tff(19373,plain,
% 135.79/86.45 (~v84(constB98, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19069, 19372, 15246])).
% 135.79/86.45 tff(19374,plain,
% 135.79/86.45 (~v84(constB99, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19066, 19373])).
% 135.79/86.45 tff(19375,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19056, 19374, 19369, 13456, 13927])).
% 135.79/86.45 tff(19376,plain,((~v115(constB97)) | v145(constB99) | v116(constB99) | (~v94(constB98))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19377,plain,
% 135.79/86.45 (~v115(constB97)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19376, 13927, 15246, 13456])).
% 135.79/86.45 tff(19378,plain,
% 135.79/86.45 (~v84(constB98, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[15066, 15046])).
% 135.79/86.45 tff(19379,plain,
% 135.79/86.45 (v94(constB98)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[15043, 19378])).
% 135.79/86.45 tff(19380,plain,
% 135.79/86.45 (~v123(constB98, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18519, 19378, 19379])).
% 135.79/86.45 tff(19381,plain,
% 135.79/86.45 (~v121(constB97, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18527, 19380])).
% 135.79/86.45 tff(19382,plain,
% 135.79/86.45 (~v124(constB97, bitIndex2)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18538, 19381])).
% 135.79/86.45 tff(19383,plain,
% 135.79/86.45 (~v113(constB97)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18579, 1772, 1838, 767, 19382])).
% 135.79/86.45 tff(19384,plain,
% 135.79/86.45 (~v172(constB97)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18548, 19382])).
% 135.79/86.45 tff(19385,plain,
% 135.79/86.45 (~v116(constB97)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18596, 19382])).
% 135.79/86.45 tff(19386,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB97) | (~b001(bitIndex0)) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | v124(constB97, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB97) | (~b001(bitIndex0)) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | v124(constB97, bitIndex0))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19387,plain,
% 135.79/86.45 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB97) | (~b001(bitIndex0)) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | v124(constB97, bitIndex0))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19388,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB97) | (~b001(bitIndex0)) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | v124(constB97, bitIndex0)))),
% 135.79/86.45 inference(monotonicity,[status(thm)],[19387])).
% 135.79/86.45 tff(19389,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB97) | (~b001(bitIndex0)) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | v124(constB97, bitIndex0))),
% 135.79/86.45 inference(transitivity,[status(thm)],[19388, 19386])).
% 135.79/86.45 tff(19390,plain,
% 135.79/86.45 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~b001(bitIndex0)))),
% 135.79/86.45 inference(quant_inst,[status(thm)],[])).
% 135.79/86.45 tff(19391,plain,
% 135.79/86.45 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB97) | (~b001(bitIndex0)) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | v124(constB97, bitIndex0)),
% 135.79/86.45 inference(modus_ponens,[status(thm)],[19390, 19389])).
% 135.79/86.45 tff(19392,plain,
% 135.79/86.45 ($false),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19391, 1213, 1210, 795, 14968, 14928, 14930, 14966, 15286, 17783, 15225])).
% 135.79/86.45 tff(19393,plain,(v124(constB97, bitIndex0) | v145(constB97) | v113(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.45 tff(19394,plain,
% 135.79/86.45 (v124(constB97, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19393, 14930, 19385, 19384, 14968, 19383, 15225])).
% 135.79/86.45 tff(19395,plain,
% 135.79/86.45 (v121(constB97, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19349, 19394])).
% 135.79/86.45 tff(19396,plain,
% 135.79/86.45 (v123(constB98, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19357, 19395])).
% 135.79/86.45 tff(19397,plain,
% 135.79/86.45 (v84(constB98, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19365, 1674, 795, 19379, 19396])).
% 135.79/86.45 tff(19398,plain,
% 135.79/86.45 (v84(constB99, bitIndex0)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[15161, 19397])).
% 135.79/86.45 tff(19399,plain,
% 135.79/86.45 (v84(constB99, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[13457, 19398, 15046])).
% 135.79/86.45 tff(19400,plain,
% 135.79/86.45 (v84(constB98, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18661, 19399])).
% 135.79/86.45 tff(19401,plain,
% 135.79/86.45 (v123(constB98, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18990, 1344, 823, 19379, 19400])).
% 135.79/86.45 tff(19402,plain,
% 135.79/86.45 (v121(constB97, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[18994, 1362, 823, 14884, 19401])).
% 135.79/86.45 tff(19403,plain,
% 135.79/86.45 (v124(constB97, bitIndex1)),
% 135.79/86.45 inference(unit_resolution,[status(thm)],[19001, 1380, 823, 14996, 19402])).
% 135.79/86.45 tff(19404,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex1)))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19405,plain,
% 135.79/86.45 ((v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex1)))),
% 135.79/86.45 inference(rewrite,[status(thm)],[])).
% 135.79/86.45 tff(19406,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex1))))),
% 135.79/86.45 inference(monotonicity,[status(thm)],[19405])).
% 135.79/86.45 tff(19407,plain,
% 135.79/86.45 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex1)))),
% 135.79/86.46 inference(transitivity,[status(thm)],[19406, 19404])).
% 135.79/86.46 tff(19408,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB97) | v145(constB97) | v115(constB97) | v116(constB97) | v172(constB97) | v118(constB97) | (~less_3(bitIndex1)) | (~v124(constB97, bitIndex1)) | b001(bitIndex1))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19409,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB97) | v118(constB97) | v172(constB97) | v116(constB97) | v115(constB97) | v113(constB97) | (~v124(constB97, bitIndex1))),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19408, 19407])).
% 135.79/86.46 tff(19410,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19409, 2601, 2424, 823, 14968, 19383, 14930, 19385, 19384, 19403, 15225])).
% 135.79/86.46 tff(19411,plain,(v115(constB97) | v145(constB97) | v118(constB97) | v84(constB99, bitIndex2) | v145(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19412,plain,
% 135.79/86.46 (v84(constB99, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19411, 15225, 13456, 19377, 14968])).
% 135.79/86.46 tff(19413,plain,
% 135.79/86.46 (~v115(constB99)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18634, 2665, 19412])).
% 135.79/86.46 tff(19414,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex1)))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19415,plain,
% 135.79/86.46 ((v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex1)))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19416,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex1))))),
% 135.79/86.46 inference(monotonicity,[status(thm)],[19415])).
% 135.79/86.46 tff(19417,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex1)))),
% 135.79/86.46 inference(transitivity,[status(thm)],[19416, 19414])).
% 135.79/86.46 tff(19418,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB99) | v145(constB99) | v115(constB99) | v116(constB99) | v172(constB99) | v118(constB99) | (~less_3(bitIndex1)) | (~v124(constB99, bitIndex1)) | b001(bitIndex1))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19419,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB99) | v172(constB99) | v116(constB99) | v115(constB99) | v145(constB99) | v113(constB99) | (~v124(constB99, bitIndex1))),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19418, 19417])).
% 135.79/86.46 tff(19420,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19419, 2601, 2424, 823, 13456, 13354, 13345, 13927, 13926, 13928, 19328])).
% 135.79/86.46 tff(19421,plain,((~v124(constB99, bitIndex1)) | v145(constB99) | v172(constB99) | v118(constB99) | v116(constB99) | v113(constB99) | v115(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19422,plain,
% 135.79/86.46 (v118(constB99)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19421, 19413, 13456, 13354, 19328, 13926, 13927])).
% 135.79/86.46 tff(19423,plain,
% 135.79/86.46 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB99, bitIndex0) | (~v118(constB99)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB99, bitIndex0) | (~v118(constB99)))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19424,plain,
% 135.79/86.46 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB99, bitIndex0) | (~v118(constB99)))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19425,plain,
% 135.79/86.46 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB99, bitIndex0) | (~v118(constB99))),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19424, 19423])).
% 135.79/86.46 tff(19426,plain,
% 135.79/86.46 (v84(constB99, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19425, 2642, 19422])).
% 135.79/86.46 tff(19427,plain,
% 135.79/86.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB98, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB98, bitIndex0))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19428,plain,
% 135.79/86.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB98, bitIndex0))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19429,plain,
% 135.79/86.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB98, constB99)) | v94(constB99) | (~less_3(bitIndex0)) | (~v84(constB99, bitIndex0)) | v84(constB98, bitIndex0)),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19428, 19427])).
% 135.79/86.46 tff(19430,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19429, 805, 795, 15049, 15061, 15091, 15163])).
% 135.79/86.46 tff(19431,plain,((~v84(constB99, bitIndex0)) | v84(constB98, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19432,plain,
% 135.79/86.46 (v84(constB98, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19431, 19426])).
% 135.79/86.46 tff(19433,plain,
% 135.79/86.46 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB98)) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB98)) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19434,plain,
% 135.79/86.46 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB98)) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19435,plain,
% 135.79/86.46 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB98)) | (~v84(constB98, bitIndex0)) | v123(constB98, bitIndex0)),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19434, 19433])).
% 135.79/86.46 tff(19436,plain,
% 135.79/86.46 (v123(constB98, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19435, 1344, 795, 15246, 19432])).
% 135.79/86.46 tff(19437,plain,
% 135.79/86.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v121(constB97, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v121(constB97, bitIndex0))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19438,plain,
% 135.79/86.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB97, constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v121(constB97, bitIndex0))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19439,plain,
% 135.79/86.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB97, constB98)) | (~less_3(bitIndex0)) | (~v123(constB98, bitIndex0)) | v121(constB97, bitIndex0)),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19438, 19437])).
% 135.79/86.46 tff(19440,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19439, 1362, 795, 14884, 19341, 19359])).
% 135.79/86.46 tff(19441,plain,((~v123(constB98, bitIndex0)) | v121(constB97, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19442,plain,
% 135.79/86.46 (v121(constB97, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19441, 19436])).
% 135.79/86.46 tff(19443,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19444,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB97) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0)))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19445,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB97) | (~less_3(bitIndex0)) | v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0))),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19444, 19443])).
% 135.79/86.46 tff(19446,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19445, 1380, 795, 14996, 17783, 19352])).
% 135.79/86.46 tff(19447,plain,(v124(constB97, bitIndex0) | (~v121(constB97, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19448,plain,
% 135.79/86.46 (v124(constB97, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19447, 19442])).
% 135.79/86.46 tff(19449,plain,
% 135.79/86.46 (v84(constB98, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19066, 19412])).
% 135.79/86.46 tff(19450,plain,
% 135.79/86.46 (v123(constB98, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19069, 19449, 15246])).
% 135.79/86.46 tff(19451,plain,
% 135.79/86.46 (v121(constB97, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19072, 19450])).
% 135.79/86.46 tff(19452,plain,
% 135.79/86.46 (v124(constB97, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19075, 19451])).
% 135.79/86.46 tff(19453,plain,
% 135.79/86.46 (~v84(constB99, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15127, 2842, 19422])).
% 135.79/86.46 tff(19454,plain,
% 135.79/86.46 (~v84(constB98, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15089, 19453])).
% 135.79/86.46 tff(19455,plain,
% 135.79/86.46 (~v123(constB98, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15254, 19454, 15246])).
% 135.79/86.46 tff(19456,plain,
% 135.79/86.46 (~v121(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15262, 19455])).
% 135.79/86.46 tff(19457,plain,
% 135.79/86.46 (~v124(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15273, 19456])).
% 135.79/86.46 tff(19458,plain,
% 135.79/86.46 (~v172(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15284, 19457])).
% 135.79/86.46 tff(19459,plain,
% 135.79/86.46 (v116(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19102, 19458, 19452, 14968, 15225, 19377])).
% 135.79/86.46 tff(19460,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB97)) | (~v124(constB97, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB97)) | (~v124(constB97, bitIndex0)))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19461,plain,
% 135.79/86.46 (((~v116(constB97)) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB97)) | (~v124(constB97, bitIndex0)))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19462,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB97)) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB97)) | (~v124(constB97, bitIndex0))))),
% 135.79/86.46 inference(monotonicity,[status(thm)],[19461])).
% 135.79/86.46 tff(19463,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB97)) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB97)) | (~v124(constB97, bitIndex0)))),
% 135.79/86.46 inference(transitivity,[status(thm)],[19462, 19460])).
% 135.79/86.46 tff(19464,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB97)) | (~less_3(bitIndex0)) | (~v124(constB97, bitIndex0)) | b100(bitIndex0))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19465,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB97)) | (~v124(constB97, bitIndex0))),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19464, 19463])).
% 135.79/86.46 tff(19466,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19465, 2386, 2164, 795, 19459, 19448])).
% 135.79/86.46 tff(19467,plain,(v118(constB97) | (~v94(constB98)) | v145(constB97) | v145(constB99) | v172(constB99) | (~v124(constB99, bitIndex1)) | v113(constB99) | v116(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19468,plain,
% 135.79/86.46 (v172(constB99)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19467, 19327, 17508, 18948, 14852, 19305, 19339, 19338])).
% 135.79/86.46 tff(19469,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19179, 1997, 1994, 795, 19468, 19306])).
% 135.79/86.46 tff(19470,plain,((~v84(constB97, bitIndex1)) | v84(constB101, bitIndex2) | v116(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19471,plain,
% 135.79/86.46 (~v84(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19470, 14841, 13294])).
% 135.79/86.46 tff(19472,plain,
% 135.79/86.46 (~v84(constB96, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15199, 19471])).
% 135.79/86.46 tff(19473,plain,
% 135.79/86.46 (v84(constB94, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17803, 19472])).
% 135.79/86.46 tff(19474,plain,
% 135.79/86.46 (v84(constB95, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15642, 19473])).
% 135.79/86.46 tff(19475,plain,
% 135.79/86.46 (~v84(constB99, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15072, 14078])).
% 135.79/86.46 tff(19476,plain,
% 135.79/86.46 (~v84(constB98, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15066, 19475])).
% 135.79/86.46 tff(19477,plain,
% 135.79/86.46 (v94(constB98)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15043, 19476])).
% 135.79/86.46 tff(19478,plain,
% 135.79/86.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB99, bitIndex1)) | (~v145(constB99)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB99, bitIndex1)) | (~v145(constB99)))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19479,plain,
% 135.79/86.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB99, bitIndex1)) | (~v145(constB99)))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19480,plain,
% 135.79/86.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB99, bitIndex1)) | (~v145(constB99))),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19479, 19478])).
% 135.79/86.46 tff(19481,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19480, 816, 14078, 15096])).
% 135.79/86.46 tff(19482,plain,((~v145(constB99)) | (~v84(constB99, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19483,plain,
% 135.79/86.46 (~v84(constB99, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19482, 14078])).
% 135.79/86.46 tff(19484,plain,
% 135.79/86.46 (~v84(constB98, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15089, 19483])).
% 135.79/86.46 tff(19485,plain,
% 135.79/86.46 (~v123(constB98, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15254, 19484, 19477])).
% 135.79/86.46 tff(19486,plain,
% 135.79/86.46 (~v121(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15262, 19485])).
% 135.79/86.46 tff(19487,plain,
% 135.79/86.46 (~v124(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15273, 19486])).
% 135.79/86.46 tff(19488,plain,
% 135.79/86.46 (~v123(constB98, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18519, 19476, 19477])).
% 135.79/86.46 tff(19489,plain,
% 135.79/86.46 (~v121(constB97, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18527, 19488])).
% 135.79/86.46 tff(19490,plain,
% 135.79/86.46 (~v124(constB97, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18538, 19489])).
% 135.79/86.46 tff(19491,plain,
% 135.79/86.46 (~v116(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18596, 19490])).
% 135.79/86.46 tff(19492,plain,
% 135.79/86.46 (~v113(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18579, 1772, 1838, 767, 19490])).
% 135.79/86.46 tff(19493,plain,
% 135.79/86.46 (v84(constB97, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15581, 19492, 19491, 19487])).
% 135.79/86.46 tff(19494,plain,
% 135.79/86.46 (~v145(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18400, 725, 19493])).
% 135.79/86.46 tff(19495,plain,
% 135.79/86.46 (~v172(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18548, 19490])).
% 135.79/86.46 tff(19496,plain,
% 135.79/86.46 (~v84(constB99, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19480, 816, 14078])).
% 135.79/86.46 tff(19497,plain,
% 135.79/86.46 (~v84(constB98, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15089, 19496])).
% 135.79/86.46 tff(19498,plain,
% 135.79/86.46 (~v123(constB98, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15254, 19497, 19477])).
% 135.79/86.46 tff(19499,plain,
% 135.79/86.46 (~v121(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15262, 19498])).
% 135.79/86.46 tff(19500,plain,
% 135.79/86.46 (~v124(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15273, 19499])).
% 135.79/86.46 tff(19501,plain,
% 135.79/86.46 (v84(constB97, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15581, 19492, 19491, 19500])).
% 135.79/86.46 tff(19502,plain,
% 135.79/86.46 (v84(constB96, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18358, 19501])).
% 135.79/86.46 tff(19503,plain,
% 135.79/86.46 (v123(constB96, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18367, 19502, 16719])).
% 135.79/86.46 tff(19504,plain,
% 135.79/86.46 (v121(constB95, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17706, 19503])).
% 135.79/86.46 tff(19505,plain,
% 135.79/86.46 (v124(constB95, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17698, 19504])).
% 135.79/86.46 tff(19506,plain,
% 135.79/86.46 (~v115(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18938, 19505])).
% 135.79/86.46 tff(19507,plain,
% 135.79/86.46 (v84(constB95, bitIndex0) | v84(constB95, bitIndex2) | v115(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15404, 1095, 15609])).
% 135.79/86.46 tff(19508,plain,
% 135.79/86.46 (v84(constB95, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19507, 15644, 17882])).
% 135.79/86.46 tff(19509,plain,
% 135.79/86.46 (v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)) | v116(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15697, 1076, 15609])).
% 135.79/86.46 tff(19510,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19509, 19508, 15644, 18163])).
% 135.79/86.46 tff(19511,plain,(v84(constB95, bitIndex2) | v116(constB95) | (~v84(constB95, bitIndex1)) | v115(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19512,plain,
% 135.79/86.46 (v116(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19511, 19506, 15609, 15644])).
% 135.79/86.46 tff(19513,plain,
% 135.79/86.46 (~v145(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17687, 19505])).
% 135.79/86.46 tff(19514,plain,
% 135.79/86.46 (~v113(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17811, 15609])).
% 135.79/86.46 tff(19515,plain,
% 135.79/86.46 (~v118(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17824, 15609])).
% 135.79/86.46 tff(19516,plain,
% 135.79/86.46 (~v124(constB95, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18380, 19512])).
% 135.79/86.46 tff(19517,plain,
% 135.79/86.46 (~v172(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15722, 19516])).
% 135.79/86.46 tff(19518,plain,
% 135.79/86.46 (~v84(constB96, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18383, 19517, 19515, 16719, 19502, 19514, 19513, 19506])).
% 135.79/86.46 tff(19519,plain,
% 135.79/86.46 (~v123(constB96, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15222, 19518, 16719])).
% 135.79/86.46 tff(19520,plain,
% 135.79/86.46 (~v84(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[16717, 19518])).
% 135.79/86.46 tff(19521,plain,
% 135.79/86.46 (v84(constB96, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15545, 19520, 19495, 19519])).
% 135.79/86.46 tff(19522,plain,
% 135.79/86.46 (v123(constB96, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17763, 19521, 16719])).
% 135.79/86.46 tff(19523,plain,
% 135.79/86.46 (v121(constB95, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[16732, 19522])).
% 135.79/86.46 tff(19524,plain,
% 135.79/86.46 (v124(constB95, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17758, 19523])).
% 135.79/86.46 tff(19525,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18053, 2386, 2164, 795, 19524, 19512])).
% 135.79/86.46 tff(19526,plain,((~v145(constB99)) | (~v84(constB95, bitIndex1)) | v84(constB95, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19527,plain,
% 135.79/86.46 (v84(constB95, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19526, 15609, 14078])).
% 135.79/86.46 tff(19528,plain,
% 135.79/86.46 (~v145(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17657, 19527])).
% 135.79/86.46 tff(19529,plain,
% 135.79/86.46 (~v172(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18281, 15609])).
% 135.79/86.46 tff(19530,plain,
% 135.79/86.46 (v84(constB96, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18358, 14881])).
% 135.79/86.46 tff(19531,plain,
% 135.79/86.46 (v123(constB96, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18367, 15438, 19530])).
% 135.79/86.46 tff(19532,plain,
% 135.79/86.46 (v121(constB95, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17706, 19531])).
% 135.79/86.46 tff(19533,plain,
% 135.79/86.46 (v124(constB95, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17698, 19532])).
% 135.79/86.46 tff(19534,plain,
% 135.79/86.46 (v84(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15295, 15293, 15286, 14881])).
% 135.79/86.46 tff(19535,plain,
% 135.79/86.46 (v84(constB96, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[16717, 19534])).
% 135.79/86.46 tff(19536,plain,
% 135.79/86.46 (v115(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18383, 19535, 15725, 17875, 15726, 19530, 15664, 15438])).
% 135.79/86.46 tff(19537,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18938, 19536, 19533])).
% 135.79/86.46 tff(19538,plain,(v84(constB96, bitIndex0) | v118(constB95) | v113(constB95) | v172(constB95) | v145(constB95) | v172(constB97) | (~v84(constB97, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19539,plain,
% 135.79/86.46 (v84(constB96, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19538, 19515, 19514, 19529, 19528, 19495, 14881])).
% 135.79/86.46 tff(19540,plain,
% 135.79/86.46 (v84(constB97, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15552, 19539])).
% 135.79/86.46 tff(19541,plain,
% 135.79/86.46 (~v119(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18438, 3173, 19540])).
% 135.79/86.46 tff(19542,plain,
% 135.79/86.46 (v104(constB98)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18444, 19477])).
% 135.79/86.46 tff(19543,plain,
% 135.79/86.46 (v102(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18452, 19542])).
% 135.79/86.46 tff(19544,plain,
% 135.79/86.46 (v106(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18460, 19543])).
% 135.79/86.46 tff(19545,plain,
% 135.79/86.46 (v107(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18464, 3161, 19544])).
% 135.79/86.46 tff(19546,plain,
% 135.79/86.46 (v108(constB97) | v119(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18468, 3195, 19545])).
% 135.79/86.46 tff(19547,plain,
% 135.79/86.46 (v108(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19546, 19541])).
% 135.79/86.46 tff(19548,assumption,(~v109(constB97)), introduced(assumption)).
% 135.79/86.46 tff(19549,plain,
% 135.79/86.46 (v118(constB97) | (~v108(constB97))),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18486, 2856, 19548])).
% 135.79/86.46 tff(19550,plain,
% 135.79/86.46 (v118(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19549, 19547])).
% 135.79/86.46 tff(19551,plain,
% 135.79/86.46 (~v84(constB97, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18482, 2842, 19550])).
% 135.79/86.46 tff(19552,plain,
% 135.79/86.46 (~v84(constB96, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15199, 19551])).
% 135.79/86.46 tff(19553,plain,
% 135.79/86.46 (v94(constB96)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17505, 19552])).
% 135.79/86.46 tff(19554,plain,
% 135.79/86.46 (v123(constB96, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17763, 19553, 19539])).
% 135.79/86.46 tff(19555,plain,
% 135.79/86.46 (v121(constB95, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[16732, 19554])).
% 135.79/86.46 tff(19556,plain,
% 135.79/86.46 (v124(constB95, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17758, 19555])).
% 135.79/86.46 tff(19557,plain,
% 135.79/86.46 (~v123(constB96, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15222, 19552, 19553])).
% 135.79/86.46 tff(19558,plain,
% 135.79/86.46 (~v121(constB95, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[16767, 19557])).
% 135.79/86.46 tff(19559,plain,
% 135.79/86.46 (~v124(constB95, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[16763, 19558])).
% 135.79/86.46 tff(19560,plain,
% 135.79/86.46 (~v115(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17815, 19559])).
% 135.79/86.46 tff(19561,plain,
% 135.79/86.46 (v123(constB96, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18367, 19553, 19530])).
% 135.79/86.46 tff(19562,plain,
% 135.79/86.46 (v121(constB95, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17706, 19561])).
% 135.79/86.46 tff(19563,plain,
% 135.79/86.46 (v124(constB95, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[17698, 19562])).
% 135.79/86.46 tff(19564,plain,
% 135.79/86.46 (v116(constB95)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18171, 19563, 19515, 19529, 19528, 19560, 19514])).
% 135.79/86.46 tff(19565,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18945, 19564, 19556])).
% 135.79/86.46 tff(19566,plain,((~v84(constB95, bitIndex1)) | v109(constB97) | (~v84(constB97, bitIndex2)) | (~v145(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19567,plain,
% 135.79/86.46 (v109(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19566, 19493, 15609, 14078])).
% 135.79/86.46 tff(19568,plain,
% 135.79/86.46 (v110(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18477, 2871, 19495, 19567])).
% 135.79/86.46 tff(19569,plain,
% 135.79/86.46 (v111(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18496, 2932, 19491, 19568])).
% 135.79/86.46 tff(19570,plain,
% 135.79/86.46 (~v115(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[15570, 19487])).
% 135.79/86.46 tff(19571,plain,
% 135.79/86.46 (v112(constB97)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18431, 2911, 19570, 19569])).
% 135.79/86.46 tff(19572,plain,
% 135.79/86.46 (v145(constB97) | (~v112(constB97))),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[18421, 2894, 19492])).
% 135.79/86.46 tff(19573,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19572, 19571, 19494])).
% 135.79/86.46 tff(19574,plain,((~v145(constB99)) | (~v84(constB95, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19575,plain,
% 135.79/86.46 (~v145(constB99)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19574, 19474])).
% 135.79/86.46 tff(19576,plain,
% 135.79/86.46 (v124(constB99, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[13947, 19575, 14840])).
% 135.79/86.46 tff(19577,plain,
% 135.79/86.46 (v121(constB99, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[13891, 19576])).
% 135.79/86.46 tff(19578,plain,
% 135.79/86.46 (v123(constB100, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[13876, 19577])).
% 135.79/86.46 tff(19579,plain,
% 135.79/86.46 (v84(constB100, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[13868, 19578])).
% 135.79/86.46 tff(19580,plain,
% 135.79/86.46 (v84(constB101, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[13390, 19579])).
% 135.79/86.46 tff(19581,plain,
% 135.79/86.46 (~v145(constB103)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19243, 19580, 13294])).
% 135.79/86.46 tff(19582,plain,
% 135.79/86.46 (v94(constB104)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[12683, 6519, 12608])).
% 135.79/86.46 tff(19583,plain,
% 135.79/86.46 (v124(constB107, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11023, 11050, 6505])).
% 135.79/86.46 tff(19584,plain,
% 135.79/86.46 (~v124(constB107, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10564, 19583])).
% 135.79/86.46 tff(19585,plain,
% 135.79/86.46 (~v172(constB105)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11227, 19584, 11371])).
% 135.79/86.46 tff(19586,plain,
% 135.79/86.46 (v94(constB108)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[14562, 9801])).
% 135.79/86.46 tff(19587,plain,
% 135.79/86.46 (v124(constB107, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11023, 11050, 19586])).
% 135.79/86.46 tff(19588,plain,
% 135.79/86.46 (~v124(constB107, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10564, 19587])).
% 135.79/86.46 tff(19589,plain,
% 135.79/86.46 (~v84(constB107, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11200, 1119, 8862])).
% 135.79/86.46 tff(19590,plain,
% 135.79/86.46 (~v84(constB106, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9689, 19589])).
% 135.79/86.46 tff(19591,plain,
% 135.79/86.46 (~v123(constB106, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11447, 19590, 9801])).
% 135.79/86.46 tff(19592,plain,
% 135.79/86.46 (~v121(constB105, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11451, 19591])).
% 135.79/86.46 tff(19593,plain,
% 135.79/86.46 (~v124(constB105, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11454, 19592])).
% 135.79/86.46 tff(19594,plain,
% 135.79/86.46 (v124(constB105, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11461, 19593, 9468, 6519])).
% 135.79/86.46 tff(19595,plain,
% 135.79/86.46 (v121(constB105, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9790, 19594])).
% 135.79/86.46 tff(19596,plain,
% 135.79/86.46 (v123(constB106, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9775, 19595])).
% 135.79/86.46 tff(19597,plain,
% 135.79/86.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v113(constB107)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB107, bitIndex0)) | (~v113(constB107)))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19598,plain,
% 135.79/86.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB107, bitIndex0)) | (~v113(constB107)))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19599,plain,
% 135.79/86.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB107, bitIndex0)) | (~v113(constB107))),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19598, 19597])).
% 135.79/86.46 tff(19600,plain,
% 135.79/86.46 (~v84(constB107, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19599, 2764, 8862])).
% 135.79/86.46 tff(19601,plain,
% 135.79/86.46 (~v84(constB106, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9537, 19600])).
% 135.79/86.46 tff(19602,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9767, 1674, 795, 9801, 19601, 19596])).
% 135.79/86.46 tff(19603,plain,((~v113(constB107)) | (~v94(constB106)) | v172(constB105) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19604,plain,
% 135.79/86.46 (~v113(constB107)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19603, 9801, 6519, 9468])).
% 135.79/86.46 tff(19605,plain,
% 135.79/86.46 (~v145(constB107)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11027, 19587])).
% 135.79/86.46 tff(19606,plain,
% 135.79/86.46 (~v172(constB107)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11075, 7708, 10313])).
% 135.79/86.46 tff(19607,plain,
% 135.79/86.46 (v84(constB106, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10348, 19606, 19605, 9801, 19604])).
% 135.79/86.46 tff(19608,plain,
% 135.79/86.46 (~v84(constB106, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11391, 19607, 9801, 9532, 19588])).
% 135.79/86.46 tff(19609,plain,
% 135.79/86.46 (~v123(constB106, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11447, 19608, 9801])).
% 135.79/86.46 tff(19610,plain,
% 135.79/86.46 (~v121(constB105, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11451, 19609])).
% 135.79/86.46 tff(19611,plain,
% 135.79/86.46 (~v124(constB105, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11454, 19610])).
% 135.79/86.46 tff(19612,plain,
% 135.79/86.46 (v124(constB105, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11461, 19611, 6519, 9468])).
% 135.79/86.46 tff(19613,plain,
% 135.79/86.46 (~v116(constB105)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10264, 2386, 2164, 795, 19612])).
% 135.79/86.46 tff(19614,plain,
% 135.79/86.46 (v123(constB106, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[14518, 19607, 9801])).
% 135.79/86.46 tff(19615,plain,
% 135.79/86.46 (v121(constB105, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[14522, 19614])).
% 135.79/86.46 tff(19616,plain,
% 135.79/86.46 (v124(constB105, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9880, 1380, 823, 9782, 19615])).
% 135.79/86.46 tff(19617,plain,
% 135.79/86.46 (v115(constB105)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[14559, 19616, 6519, 9468, 19613])).
% 135.79/86.46 tff(19618,plain,
% 135.79/86.46 (~v84(constB105, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[14555, 2665, 19617])).
% 135.79/86.46 tff(19619,plain,
% 135.79/86.46 (~v119(constB105)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10289, 7833, 19618])).
% 135.79/86.46 tff(19620,plain,
% 135.79/86.46 (~v121(constB107, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10116, 19588])).
% 135.79/86.46 tff(19621,plain,
% 135.79/86.46 (~v123(constB108, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10110, 19620])).
% 135.79/86.46 tff(19622,plain,
% 135.79/86.46 (~v84(constB108, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10104, 19621, 19586])).
% 135.79/86.46 tff(19623,plain,
% 135.79/86.46 (~v84(constB109, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10098, 19622])).
% 135.79/86.46 tff(19624,plain,
% 135.79/86.46 (~v145(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11040, 19623])).
% 135.79/86.46 tff(19625,plain,
% 135.79/86.46 (~v118(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10581, 2642, 19623])).
% 135.79/86.46 tff(19626,plain,
% 135.79/86.46 (~v84(constB107, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9547, 19608])).
% 135.79/86.46 tff(19627,plain,
% 135.79/86.46 (v116(constB107)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[6793, 19626, 10313, 19605])).
% 135.79/86.46 tff(19628,plain,
% 135.79/86.46 (~v124(constB107, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10398, 19627])).
% 135.79/86.46 tff(19629,plain,
% 135.79/86.46 (~v121(constB107, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[12810, 19628])).
% 135.79/86.46 tff(19630,plain,
% 135.79/86.46 (~v123(constB108, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10381, 19629])).
% 135.79/86.46 tff(19631,plain,
% 135.79/86.46 (~v84(constB108, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10375, 19630, 19586])).
% 135.79/86.46 tff(19632,plain,
% 135.79/86.46 (~v84(constB109, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10369, 19631])).
% 135.79/86.46 tff(19633,plain,
% 135.79/86.46 (v172(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11290, 19632, 19625, 10590, 19624])).
% 135.79/86.46 tff(19634,plain,
% 135.79/86.46 (v124(constB109, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10650, 19633])).
% 135.79/86.46 tff(19635,plain,
% 135.79/86.46 (v121(constB109, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10486, 19634])).
% 135.79/86.46 tff(19636,plain,
% 135.79/86.46 (v123(constB110, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10494, 19635])).
% 135.79/86.46 tff(19637,plain,
% 135.79/86.46 (v109(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10669, 19632, 19623])).
% 135.79/86.46 tff(19638,plain,
% 135.79/86.46 (v108(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8743, 669, 19637])).
% 135.79/86.46 tff(19639,plain,
% 135.79/86.46 (v107(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8739, 658, 19638])).
% 135.79/86.46 tff(19640,plain,
% 135.79/86.46 (v106(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8735, 19639])).
% 135.79/86.46 tff(19641,plain,
% 135.79/86.46 (v102(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8727, 619, 19640])).
% 135.79/86.46 tff(19642,plain,
% 135.79/86.46 (v104(constB110)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8723, 19641])).
% 135.79/86.46 tff(19643,plain,
% 135.79/86.46 (v94(constB110)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8715, 19642])).
% 135.79/86.46 tff(19644,plain,
% 135.79/86.46 (v84(constB110, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8840, 19643, 19636])).
% 135.79/86.46 tff(19645,plain,
% 135.79/86.46 (~v84(constB105, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11117, 3011, 19617])).
% 135.79/86.46 tff(19646,plain,
% 135.79/86.46 (~v84(constB104, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9254, 19645])).
% 135.79/86.46 tff(19647,plain,
% 135.79/86.46 (~v121(constB103, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9246, 19646])).
% 135.79/86.46 tff(19648,plain,
% 135.79/86.46 (~v124(constB103, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8952, 1728, 795, 8945, 19647])).
% 135.79/86.46 tff(19649,plain,
% 135.79/86.46 (~v118(constB103)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9010, 1148, 1145, 795, 19648])).
% 135.79/86.46 tff(19650,plain,
% 135.79/86.46 (~v84(constB104, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8928, 19618])).
% 135.79/86.46 tff(19651,plain,
% 135.79/86.46 (~v123(constB104, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8967, 1674, 767, 8898, 19650])).
% 135.79/86.46 tff(19652,plain,
% 135.79/86.46 (~v121(constB103, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8978, 19651])).
% 135.79/86.46 tff(19653,plain,
% 135.79/86.46 (~v124(constB103, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8985, 1728, 767, 8945, 19652])).
% 135.79/86.46 tff(19654,plain,
% 135.79/86.46 (~v172(constB103)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[9017, 2066, 1798, 767, 19653])).
% 135.79/86.46 tff(19655,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[14686, 19654, 19649, 8898, 11445, 19624, 19644, 11398, 19586, 9801, 19619, 11050])).
% 135.79/86.46 tff(19656,plain,((~v84(constB109, bitIndex2)) | (~v94(constB104)) | v145(constB103) | v113(constB103) | (~v94(constB106)) | v145(constB105) | v172(constB105) | (~v84(constB106, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.46 tff(19657,plain,
% 135.79/86.46 (~v84(constB106, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19656, 19585, 11371, 11398, 6748, 11445, 19582, 6519])).
% 135.79/86.46 tff(19658,plain,
% 135.79/86.46 (~v84(constB107, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10144, 19657])).
% 135.79/86.46 tff(19659,plain,
% 135.79/86.46 (~v121(constB107, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10116, 19584])).
% 135.79/86.46 tff(19660,plain,
% 135.79/86.46 (~v123(constB108, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10110, 19659])).
% 135.79/86.46 tff(19661,plain,
% 135.79/86.46 (~v84(constB108, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10104, 19660, 6505])).
% 135.79/86.46 tff(19662,plain,
% 135.79/86.46 (~v84(constB109, bitIndex0)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10098, 19661])).
% 135.79/86.46 tff(19663,plain,
% 135.79/86.46 (~v145(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11040, 19662])).
% 135.79/86.46 tff(19664,plain,
% 135.79/86.46 (v107(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11317, 19663, 19658])).
% 135.79/86.46 tff(19665,plain,
% 135.79/86.46 (v106(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8735, 19664])).
% 135.79/86.46 tff(19666,plain,
% 135.79/86.46 (v102(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8727, 619, 19665])).
% 135.79/86.46 tff(19667,plain,
% 135.79/86.46 (v104(constB110)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8723, 19666])).
% 135.79/86.46 tff(19668,plain,
% 135.79/86.46 (v94(constB110)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8715, 19667])).
% 135.79/86.46 tff(19669,plain,
% 135.79/86.46 (~v145(constB107)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11027, 19583])).
% 135.79/86.46 tff(19670,plain,
% 135.79/86.46 (v172(constB107)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[11225, 19657, 19584, 19669])).
% 135.79/86.46 tff(19671,plain,
% 135.79/86.46 (v124(constB107, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10063, 19670])).
% 135.79/86.46 tff(19672,plain,
% 135.79/86.46 (v121(constB107, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10043, 19671])).
% 135.79/86.46 tff(19673,plain,
% 135.79/86.46 (v123(constB108, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10032, 19672])).
% 135.79/86.46 tff(19674,plain,
% 135.79/86.46 (v84(constB108, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10024, 19673, 6505])).
% 135.79/86.46 tff(19675,plain,
% 135.79/86.46 (v84(constB109, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[6823, 19674])).
% 135.79/86.46 tff(19676,plain,
% 135.79/86.46 (~v113(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[6828, 1465, 19675])).
% 135.79/86.46 tff(19677,plain,
% 135.79/86.46 (~v118(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[6871, 2842, 19675])).
% 135.79/86.46 tff(19678,plain,
% 135.79/86.46 (~v172(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[6880, 2289, 19675])).
% 135.79/86.46 tff(19679,plain,
% 135.79/86.46 (~v124(constB109, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10609, 6893, 19678, 19677, 19663, 10586, 19676])).
% 135.79/86.46 tff(19680,plain,
% 135.79/86.46 (~v121(constB109, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10617, 19679])).
% 135.79/86.46 tff(19681,plain,
% 135.79/86.46 (~v123(constB110, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10638, 19680])).
% 135.79/86.46 tff(19682,plain,
% 135.79/86.46 (~v84(constB110, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[10630, 19681, 19668])).
% 135.79/86.46 tff(19683,plain,
% 135.79/86.46 (~v84(constB110, bitIndex1)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[6993, 6988])).
% 135.79/86.46 tff(19684,plain,
% 135.79/86.46 (v94(constB110)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[8820, 6561])).
% 135.79/86.46 tff(19685,plain,
% 135.79/86.46 (~v123(constB110, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[12489, 6561, 19684])).
% 135.79/86.46 tff(19686,plain,
% 135.79/86.46 (~v121(constB109, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[12431, 19685])).
% 135.79/86.46 tff(19687,plain,
% 135.79/86.46 (~v124(constB109, bitIndex2)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[12425, 19686])).
% 135.79/86.46 tff(19688,plain,
% 135.79/86.46 (~v116(constB109)),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[12416, 19687])).
% 135.79/86.46 tff(19689,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB109)) | v124(constB109, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB109)) | v124(constB109, bitIndex0))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19690,plain,
% 135.79/86.46 (((~v115(constB109)) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB109)) | v124(constB109, bitIndex0))),
% 135.79/86.46 inference(rewrite,[status(thm)],[])).
% 135.79/86.46 tff(19691,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB109)) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB109)) | v124(constB109, bitIndex0)))),
% 135.79/86.46 inference(monotonicity,[status(thm)],[19690])).
% 135.79/86.46 tff(19692,plain,
% 135.79/86.46 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB109)) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB109)) | v124(constB109, bitIndex0))),
% 135.79/86.46 inference(transitivity,[status(thm)],[19691, 19689])).
% 135.79/86.46 tff(19693,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB109)) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~b011(bitIndex0)))),
% 135.79/86.46 inference(quant_inst,[status(thm)],[])).
% 135.79/86.46 tff(19694,plain,
% 135.79/86.46 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB109)) | v124(constB109, bitIndex0)),
% 135.79/86.46 inference(modus_ponens,[status(thm)],[19693, 19692])).
% 135.79/86.46 tff(19695,plain,
% 135.79/86.46 ($false),
% 135.79/86.46 inference(unit_resolution,[status(thm)],[19694, 1148, 1193, 795, 9963, 12832])).
% 135.79/86.46 tff(19696,plain,(v124(constB109, bitIndex0) | (~v115(constB109))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19697,plain,
% 135.79/86.47 (~v115(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19696, 12832])).
% 135.79/86.47 tff(19698,plain,
% 135.79/86.47 (~v123(constB110, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8840, 19684, 6973])).
% 135.79/86.47 tff(19699,plain,
% 135.79/86.47 (~v121(constB109, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10494, 19698])).
% 135.79/86.47 tff(19700,plain,
% 135.79/86.47 (~v124(constB109, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10486, 19699])).
% 135.79/86.47 tff(19701,plain,
% 135.79/86.47 (~v145(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10360, 19700])).
% 135.79/86.47 tff(19702,plain,
% 135.79/86.47 (v84(constB109, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12386, 19688, 19701, 6505, 19697])).
% 135.79/86.47 tff(19703,plain,
% 135.79/86.47 (v84(constB108, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10502, 19702])).
% 135.79/86.47 tff(19704,plain,
% 135.79/86.47 (v124(constB107, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11023, 19703, 6505])).
% 135.79/86.47 tff(19705,plain,
% 135.79/86.47 (~v124(constB107, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10564, 19704])).
% 135.79/86.47 tff(19706,plain,
% 135.79/86.47 (~v121(constB107, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10116, 19705])).
% 135.79/86.47 tff(19707,plain,
% 135.79/86.47 (~v123(constB108, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10110, 19706])).
% 135.79/86.47 tff(19708,plain,
% 135.79/86.47 (~v84(constB108, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10104, 19707, 6505])).
% 135.79/86.47 tff(19709,plain,
% 135.79/86.47 (~v84(constB109, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10098, 19708])).
% 135.79/86.47 tff(19710,plain,
% 135.79/86.47 (~v172(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12961, 19687])).
% 135.79/86.47 tff(19711,plain,
% 135.79/86.47 (v84(constB109, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10621, 1047, 19702, 19710, 19709])).
% 135.79/86.47 tff(19712,plain,
% 135.79/86.47 (~v118(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[6871, 2842, 19711])).
% 135.79/86.47 tff(19713,plain,
% 135.79/86.47 (~v113(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10589, 1119, 19702])).
% 135.79/86.47 tff(19714,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB109) | (~b001(bitIndex0)) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | v124(constB109, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB109) | (~b001(bitIndex0)) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | v124(constB109, bitIndex0))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19715,plain,
% 135.79/86.47 ((v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB109) | (~b001(bitIndex0)) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | v124(constB109, bitIndex0))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19716,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB109) | (~b001(bitIndex0)) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | v124(constB109, bitIndex0)))),
% 135.79/86.47 inference(monotonicity,[status(thm)],[19715])).
% 135.79/86.47 tff(19717,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB109) | (~b001(bitIndex0)) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | v124(constB109, bitIndex0))),
% 135.79/86.47 inference(transitivity,[status(thm)],[19716, 19714])).
% 135.79/86.47 tff(19718,plain,
% 135.79/86.47 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB109) | v145(constB109) | v115(constB109) | v116(constB109) | v172(constB109) | v118(constB109) | (~less_3(bitIndex0)) | v124(constB109, bitIndex0) | (~b001(bitIndex0)))),
% 135.79/86.47 inference(quant_inst,[status(thm)],[])).
% 135.79/86.47 tff(19719,plain,
% 135.79/86.47 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB109) | (~b001(bitIndex0)) | v118(constB109) | v172(constB109) | v116(constB109) | v115(constB109) | v113(constB109) | v124(constB109, bitIndex0)),
% 135.79/86.47 inference(modus_ponens,[status(thm)],[19718, 19717])).
% 135.79/86.47 tff(19720,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19719, 1213, 1210, 795, 19701, 19713, 19710, 19712, 19697, 19688, 12832])).
% 135.79/86.47 tff(19721,plain,(v84(constB110, bitIndex2) | v124(constB109, bitIndex0) | (~v94(constB108)) | v84(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19722,plain,
% 135.79/86.47 (v124(constB109, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19721, 19683, 6505, 6561])).
% 135.79/86.47 tff(19723,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex0)) | v121(constB109, bitIndex0) | (~v124(constB109, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex0)) | v121(constB109, bitIndex0) | (~v124(constB109, bitIndex0)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19724,plain,
% 135.79/86.47 ((v26(constB109) | v121(constB109, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB109, bitIndex0))) <=> (v26(constB109) | (~less_3(bitIndex0)) | v121(constB109, bitIndex0) | (~v124(constB109, bitIndex0)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19725,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB109, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | (~less_3(bitIndex0)) | v121(constB109, bitIndex0) | (~v124(constB109, bitIndex0))))),
% 135.79/86.47 inference(monotonicity,[status(thm)],[19724])).
% 135.79/86.47 tff(19726,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB109, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex0)) | v121(constB109, bitIndex0) | (~v124(constB109, bitIndex0)))),
% 135.79/86.47 inference(transitivity,[status(thm)],[19725, 19723])).
% 135.79/86.47 tff(19727,plain,
% 135.79/86.47 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB109) | v121(constB109, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB109, bitIndex0)))),
% 135.79/86.47 inference(quant_inst,[status(thm)],[])).
% 135.79/86.47 tff(19728,plain,
% 135.79/86.47 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB109) | (~less_3(bitIndex0)) | v121(constB109, bitIndex0) | (~v124(constB109, bitIndex0))),
% 135.79/86.47 inference(modus_ponens,[status(thm)],[19727, 19726])).
% 135.79/86.47 tff(19729,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19728, 1728, 795, 6903, 12821, 12842])).
% 135.79/86.47 tff(19730,plain,(v121(constB109, bitIndex0) | (~v124(constB109, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19731,plain,
% 135.79/86.47 (v121(constB109, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19730, 19722])).
% 135.79/86.47 tff(19732,plain,
% 135.79/86.47 (~v84(constB111, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[7257, 6988, 12444])).
% 135.79/86.47 tff(19733,plain,
% 135.79/86.47 (~v84(constB110, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[7025, 19732])).
% 135.79/86.47 tff(19734,plain,
% 135.79/86.47 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB110)) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19735,plain,
% 135.79/86.47 (((~less_3(bitIndex0)) | (~v94(constB110)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0))) <=> ((~v94(constB110)) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19736,plain,
% 135.79/86.47 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB110)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB110)) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0))))),
% 135.79/86.47 inference(monotonicity,[status(thm)],[19735])).
% 135.79/86.47 tff(19737,plain,
% 135.79/86.47 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB110)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)))),
% 135.79/86.47 inference(transitivity,[status(thm)],[19736, 19734])).
% 135.79/86.47 tff(19738,plain,
% 135.79/86.47 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB110)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0)))),
% 135.79/86.47 inference(quant_inst,[status(thm)],[])).
% 135.79/86.47 tff(19739,plain,
% 135.79/86.47 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB110)) | (~less_3(bitIndex0)) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0))),
% 135.79/86.47 inference(modus_ponens,[status(thm)],[19738, 19737])).
% 135.79/86.47 tff(19740,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19739, 1674, 795, 8832, 7003, 12843])).
% 135.79/86.47 tff(19741,plain,(v84(constB110, bitIndex0) | (~v94(constB110)) | (~v123(constB110, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19742,plain,
% 135.79/86.47 (~v123(constB110, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19741, 19733, 8832])).
% 135.79/86.47 tff(19743,plain,
% 135.79/86.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex0)) | v123(constB110, bitIndex0) | (~v121(constB109, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex0)) | v123(constB110, bitIndex0) | (~v121(constB109, bitIndex0)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19744,plain,
% 135.79/86.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB109, constB110)) | (~less_3(bitIndex0)) | v123(constB110, bitIndex0) | (~v121(constB109, bitIndex0)))),
% 135.79/86.47 inference(quant_inst,[status(thm)],[])).
% 135.79/86.47 tff(19745,plain,
% 135.79/86.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB109, constB110)) | (~less_3(bitIndex0)) | v123(constB110, bitIndex0) | (~v121(constB109, bitIndex0))),
% 135.79/86.47 inference(modus_ponens,[status(thm)],[19744, 19743])).
% 135.79/86.47 tff(19746,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19745, 1708, 795, 6752, 12831, 12857])).
% 135.79/86.47 tff(19747,plain,(v123(constB110, bitIndex0) | (~v121(constB109, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19748,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19747, 19742, 19731])).
% 135.79/86.47 tff(19749,plain,(v84(constB111, bitIndex1) | (~v94(constB110)) | (~v94(constB108)) | v84(constB110, bitIndex2) | v145(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19750,plain,
% 135.79/86.47 (v84(constB111, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19749, 19668, 6505, 19682, 7250])).
% 135.79/86.47 tff(19751,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12758, 805, 823, 6929, 6941, 6996, 6973])).
% 135.79/86.47 tff(19752,plain,((~v84(constB111, bitIndex1)) | v84(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19753,plain,
% 135.79/86.47 (v84(constB110, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19752, 19750])).
% 135.79/86.47 tff(19754,plain,
% 135.79/86.47 (~v124(constB109, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14675, 6893, 19663, 19678, 19677, 10586, 19676])).
% 135.79/86.47 tff(19755,plain,
% 135.79/86.47 (~v121(constB109, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12360, 19754])).
% 135.79/86.47 tff(19756,plain,
% 135.79/86.47 (~v123(constB110, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12354, 19755])).
% 135.79/86.47 tff(19757,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12347, 1344, 823, 19668, 19756, 19753])).
% 135.79/86.47 tff(19758,plain,((~v84(constB109, bitIndex2)) | (~v94(constB108)) | v145(constB111) | v113(constB103) | v145(constB103) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19759,plain,
% 135.79/86.47 (v145(constB111)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19758, 19581, 14815, 14816, 14837, 14817])).
% 135.79/86.47 tff(19760,plain,
% 135.79/86.47 (~v84(constB111, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8637, 816, 19759])).
% 135.79/86.47 tff(19761,plain,
% 135.79/86.47 (v94(constB112)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8567, 19760])).
% 135.79/86.47 tff(19762,plain,
% 135.79/86.47 (v94(constB114)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12475, 19761])).
% 135.79/86.47 tff(19763,plain,
% 135.79/86.47 (v84(constB114, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13036, 12342])).
% 135.79/86.47 tff(19764,plain,
% 135.79/86.47 ((~v94(constB114)) | v123(constB114, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13104, 1344, 767, 19763])).
% 135.79/86.47 tff(19765,plain,
% 135.79/86.47 (v123(constB114, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19764, 19762])).
% 135.79/86.47 tff(19766,plain,
% 135.79/86.47 (v121(constB113, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13113, 19765])).
% 135.79/86.47 tff(19767,plain,
% 135.79/86.47 (v124(constB113, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13121, 19766])).
% 135.79/86.47 tff(19768,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8420, 1419, 1416, 767, 8586, 13009])).
% 135.79/86.47 tff(19769,plain,((~v124(constB111, bitIndex2)) | (~v145(constB111))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19770,plain,
% 135.79/86.47 (~v124(constB111, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19769, 19759])).
% 135.79/86.47 tff(19771,plain,
% 135.79/86.47 (~v121(constB111, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13016, 19770])).
% 135.79/86.47 tff(19772,plain,
% 135.79/86.47 (~v123(constB112, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13143, 19771])).
% 135.79/86.47 tff(19773,plain,
% 135.79/86.47 (~v84(constB112, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13138, 19761, 19772])).
% 135.79/86.47 tff(19774,plain,
% 135.79/86.47 (~v84(constB113, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8543, 19773])).
% 135.79/86.47 tff(19775,plain,
% 135.79/86.47 (~v124(constB111, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8594, 19759])).
% 135.79/86.47 tff(19776,plain,
% 135.79/86.47 (~v121(constB111, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8581, 19775])).
% 135.79/86.47 tff(19777,plain,
% 135.79/86.47 (~v123(constB112, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8576, 19776])).
% 135.79/86.47 tff(19778,plain,
% 135.79/86.47 (~v84(constB112, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8571, 19761, 19777])).
% 135.79/86.47 tff(19779,plain,
% 135.79/86.47 (~v84(constB113, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12473, 19778])).
% 135.79/86.47 tff(19780,plain,
% 135.79/86.47 (~v121(constB107, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10116, 14825])).
% 135.79/86.47 tff(19781,plain,
% 135.79/86.47 (~v123(constB108, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10110, 19780])).
% 135.79/86.47 tff(19782,plain,
% 135.79/86.47 (~v84(constB108, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10104, 19781, 14815])).
% 135.79/86.47 tff(19783,plain,
% 135.79/86.47 (~v84(constB109, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10098, 19782])).
% 135.79/86.47 tff(19784,plain,
% 135.79/86.47 (~v145(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11040, 19783])).
% 135.79/86.47 tff(19785,plain,
% 135.79/86.47 (~v84(constB106, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19656, 19581, 14822, 14837, 14826, 14817, 14833, 14816])).
% 135.79/86.47 tff(19786,plain,
% 135.79/86.47 (~v84(constB107, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10144, 19785])).
% 135.79/86.47 tff(19787,plain,
% 135.79/86.47 (v107(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11317, 19786, 19784])).
% 135.79/86.47 tff(19788,plain,
% 135.79/86.47 (v106(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8735, 19787])).
% 135.79/86.47 tff(19789,plain,
% 135.79/86.47 (v102(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8727, 619, 19788])).
% 135.79/86.47 tff(19790,plain,
% 135.79/86.47 (v104(constB110)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8723, 19789])).
% 135.79/86.47 tff(19791,plain,
% 135.79/86.47 (v94(constB110)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8715, 19790])).
% 135.79/86.47 tff(19792,plain,
% 135.79/86.47 (~v113(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10589, 1119, 14817])).
% 135.79/86.47 tff(19793,plain,
% 135.79/86.47 (~v115(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10585, 2665, 14817])).
% 135.79/86.47 tff(19794,plain,
% 135.79/86.47 (~v118(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10581, 2642, 19783])).
% 135.79/86.47 tff(19795,plain,
% 135.79/86.47 (~v116(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[6892, 1130, 14817])).
% 135.79/86.47 tff(19796,plain,
% 135.79/86.47 (~v145(constB107)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11027, 14824])).
% 135.79/86.47 tff(19797,plain,
% 135.79/86.47 (v172(constB107)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11225, 19785, 14825, 19796])).
% 135.79/86.47 tff(19798,plain,
% 135.79/86.47 (v124(constB107, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10063, 19797])).
% 135.79/86.47 tff(19799,plain,
% 135.79/86.47 (v121(constB107, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10043, 19798])).
% 135.79/86.47 tff(19800,plain,
% 135.79/86.47 (v123(constB108, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10032, 19799])).
% 135.79/86.47 tff(19801,plain,
% 135.79/86.47 (v84(constB108, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10024, 19800, 14815])).
% 135.79/86.47 tff(19802,plain,
% 135.79/86.47 (v84(constB109, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[6823, 19801])).
% 135.79/86.47 tff(19803,plain,
% 135.79/86.47 (~v172(constB109)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[6880, 2289, 19802])).
% 135.79/86.47 tff(19804,plain,
% 135.79/86.47 (~v124(constB109, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10609, 19803, 19795, 19794, 19784, 19793, 19792])).
% 135.79/86.47 tff(19805,plain,
% 135.79/86.47 (~v121(constB109, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10617, 19804])).
% 135.79/86.47 tff(19806,plain,
% 135.79/86.47 (~v123(constB110, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10638, 19805])).
% 135.79/86.47 tff(19807,plain,
% 135.79/86.47 (~v84(constB110, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10630, 19806, 19791])).
% 135.79/86.47 tff(19808,plain,
% 135.79/86.47 (~v84(constB111, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10577, 19807])).
% 135.79/86.47 tff(19809,plain,
% 135.79/86.47 (~v172(constB113)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13042, 19774])).
% 135.79/86.47 tff(19810,plain,
% 135.79/86.47 (v145(constB113)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8473, 8160, 7286])).
% 135.79/86.47 tff(19811,plain,
% 135.79/86.47 (~v84(constB113, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[7339, 19810])).
% 135.79/86.47 tff(19812,plain,
% 135.79/86.47 (~v84(constB112, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[7328, 19811])).
% 135.79/86.47 tff(19813,plain,
% 135.79/86.47 (~v123(constB112, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8203, 1674, 767, 8545, 7110])).
% 135.79/86.47 tff(19814,plain,
% 135.79/86.47 (~v121(constB111, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8207, 1708, 767, 7094, 19813])).
% 135.79/86.47 tff(19815,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8214, 1728, 767, 7083, 13009, 19814])).
% 135.79/86.47 tff(19816,plain,((~v124(constB111, bitIndex2)) | (~v94(constB112)) | v84(constB112, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19817,plain,
% 135.79/86.47 (~v124(constB111, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19816, 19812, 8568])).
% 135.79/86.47 tff(19818,plain,
% 135.79/86.47 (~v113(constB111)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8246, 19817])).
% 135.79/86.47 tff(19819,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[7191, 983, 6988, 6923, 7020, 8615])).
% 135.79/86.47 tff(19820,plain,(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | v84(constB111, bitIndex0) | v113(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19821,plain,
% 135.79/86.47 (v84(constB111, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19820, 19818, 6988, 6923])).
% 135.79/86.47 tff(19822,plain,
% 135.79/86.47 (v84(constB113, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8263, 8160, 7286])).
% 135.79/86.47 tff(19823,plain,
% 135.79/86.47 (v84(constB112, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12473, 19822])).
% 135.79/86.47 tff(19824,plain,
% 135.79/86.47 (v123(constB112, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8571, 19823, 8568])).
% 135.79/86.47 tff(19825,plain,
% 135.79/86.47 (v121(constB111, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8576, 19824])).
% 135.79/86.47 tff(19826,plain,
% 135.79/86.47 (v124(constB111, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8581, 19825])).
% 135.79/86.47 tff(19827,plain,
% 135.79/86.47 (~v145(constB111)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8594, 19826])).
% 135.79/86.47 tff(19828,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[7256, 865, 19827, 6988, 6923, 19821])).
% 135.79/86.47 tff(19829,plain,(v172(constB113) | v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | v84(constB113, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19830,plain,
% 135.79/86.47 (v84(constB113, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19829, 19809, 19760, 19808])).
% 135.79/86.47 tff(19831,assumption,(~v115(constB113)), introduced(assumption)).
% 135.79/86.47 tff(19832,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8537, 1095, 7350, 7405, 7319, 19831])).
% 135.79/86.47 tff(19833,plain,(v115(constB113) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0) | v84(constB113, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19834,plain,
% 135.79/86.47 (v115(constB113)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19833, 19830, 19779, 19774])).
% 135.79/86.47 tff(19835,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB113)) | (~v124(constB113, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB113)) | (~v124(constB113, bitIndex2)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19836,plain,
% 135.79/86.47 (((~v115(constB113)) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB113)) | (~v124(constB113, bitIndex2)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19837,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB113)) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB113)) | (~v124(constB113, bitIndex2))))),
% 135.79/86.47 inference(monotonicity,[status(thm)],[19836])).
% 135.79/86.47 tff(19838,plain,
% 135.79/86.47 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB113)) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB113)) | (~v124(constB113, bitIndex2)))),
% 135.79/86.47 inference(transitivity,[status(thm)],[19837, 19835])).
% 135.79/86.47 tff(19839,plain,
% 135.79/86.47 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB113)) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b011(bitIndex2))),
% 135.79/86.47 inference(quant_inst,[status(thm)],[])).
% 135.79/86.47 tff(19840,plain,
% 135.79/86.47 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB113)) | (~v124(constB113, bitIndex2))),
% 135.79/86.47 inference(modus_ponens,[status(thm)],[19839, 19838])).
% 135.79/86.47 tff(19841,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19840, 2030, 2257, 767, 19834, 19767])).
% 135.79/86.47 tff(19842,plain,(v94(constB116) | v84(constB101, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19843,plain,
% 135.79/86.47 (v84(constB101, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19842, 14441])).
% 135.79/86.47 tff(19844,plain,
% 135.79/86.47 (v84(constB100, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19197, 19843])).
% 135.79/86.47 tff(19845,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19124, 1344, 767, 13858, 13295, 13960])).
% 135.79/86.47 tff(19846,plain,(v123(constB100, bitIndex2) | (~v94(constB100)) | (~v84(constB100, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19847,plain,
% 135.79/86.47 (v123(constB100, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19846, 19844, 14434])).
% 135.79/86.47 tff(19848,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19129, 1362, 767, 13154, 13949, 13968])).
% 135.79/86.47 tff(19849,plain,((~v123(constB100, bitIndex2)) | v121(constB99, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19850,plain,
% 135.79/86.47 (v121(constB99, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19849, 19847])).
% 135.79/86.47 tff(19851,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19136, 1380, 767, 13883, 13893, 13961])).
% 135.79/86.47 tff(19852,plain,((~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19853,plain,
% 135.79/86.47 (v124(constB99, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19852, 19850])).
% 135.79/86.47 tff(19854,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19165, 1419, 1416, 767, 14078, 13950])).
% 135.79/86.47 tff(19855,plain,((~v124(constB99, bitIndex2)) | (~v145(constB99))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19856,plain,
% 135.79/86.47 (~v145(constB99)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19855, 19853])).
% 135.79/86.47 tff(19857,plain,
% 135.79/86.47 (v84(constB103, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14619, 11445, 9275])).
% 135.79/86.47 tff(19858,plain,
% 135.79/86.47 (v84(constB102, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14453, 19857])).
% 135.79/86.47 tff(19859,plain,
% 135.79/86.47 (v94(constB108)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14761, 9275])).
% 135.79/86.47 tff(19860,plain,
% 135.79/86.47 (v104(constB108)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8875, 19859])).
% 135.79/86.47 tff(19861,plain,
% 135.79/86.47 (v102(constB107)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8883, 19860])).
% 135.79/86.47 tff(19862,plain,
% 135.79/86.47 (v106(constB107)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8891, 19861])).
% 135.79/86.47 tff(19863,plain,
% 135.79/86.47 (v107(constB107)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8895, 3161, 19862])).
% 135.79/86.47 tff(19864,plain,
% 135.79/86.47 (v94(constB106)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11370, 19863])).
% 135.79/86.47 tff(19865,plain,
% 135.79/86.47 (v104(constB106)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10220, 19864])).
% 135.79/86.47 tff(19866,plain,
% 135.79/86.47 (v102(constB105)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10228, 19865])).
% 135.79/86.47 tff(19867,plain,
% 135.79/86.47 (v106(constB105)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11107, 19866])).
% 135.79/86.47 tff(19868,plain,
% 135.79/86.47 (v107(constB105)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10240, 3161, 19867])).
% 135.79/86.47 tff(19869,plain,
% 135.79/86.47 (v94(constB100)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14433, 19868])).
% 135.79/86.47 tff(19870,plain,
% 135.79/86.47 (~v172(constB100)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19219, 7708, 13385])).
% 135.79/86.47 tff(19871,plain,
% 135.79/86.47 (v84(constB101, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13390, 13385])).
% 135.79/86.47 tff(19872,plain,
% 135.79/86.47 (v94(constB102)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14241, 13675, 19871])).
% 135.79/86.47 tff(19873,plain,
% 135.79/86.47 (~v123(constB102, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14044, 1674, 767, 19872, 13675])).
% 135.79/86.47 tff(19874,plain,
% 135.79/86.47 (~v121(constB101, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14053, 19873])).
% 135.79/86.47 tff(19875,plain,
% 135.79/86.47 (~v124(constB101, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14060, 1728, 767, 13653, 19874])).
% 135.79/86.47 tff(19876,plain,
% 135.79/86.47 (~v113(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14601, 1772, 1838, 767, 19875])).
% 135.79/86.47 tff(19877,plain,
% 135.79/86.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v115(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB101, bitIndex0)) | (~v115(constB101)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19878,plain,
% 135.79/86.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB101, bitIndex0)) | (~v115(constB101)))),
% 135.79/86.47 inference(quant_inst,[status(thm)],[])).
% 135.79/86.47 tff(19879,plain,
% 135.79/86.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB101, bitIndex0)) | (~v115(constB101))),
% 135.79/86.47 inference(modus_ponens,[status(thm)],[19878, 19877])).
% 135.79/86.47 tff(19880,plain,
% 135.79/86.47 (~v115(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19879, 3011, 19871])).
% 135.79/86.47 tff(19881,plain,
% 135.79/86.47 (~v116(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14583, 1772, 1769, 767, 19875])).
% 135.79/86.47 tff(19882,plain,
% 135.79/86.47 (~v172(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14070, 19875])).
% 135.79/86.47 tff(19883,plain,
% 135.79/86.47 (~v119(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13553, 3173, 19871])).
% 135.79/86.47 tff(19884,plain,
% 135.79/86.47 (v104(constB102)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13673, 19872])).
% 135.79/86.47 tff(19885,plain,
% 135.79/86.47 (v102(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13668, 19884])).
% 135.79/86.47 tff(19886,plain,
% 135.79/86.47 (v106(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13660, 19885])).
% 135.79/86.47 tff(19887,plain,
% 135.79/86.47 (v107(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13561, 3161, 19886])).
% 135.79/86.47 tff(19888,plain,
% 135.79/86.47 (v108(constB101) | v119(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13557, 3195, 19887])).
% 135.79/86.47 tff(19889,plain,
% 135.79/86.47 (v108(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19888, 19883])).
% 135.79/86.47 tff(19890,plain,
% 135.79/86.47 (v124(constB101, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13546, 19889, 19882, 19881, 19880, 19876])).
% 135.79/86.47 tff(19891,plain,
% 135.79/86.47 (v121(constB101, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13772, 1728, 823, 13653, 19890])).
% 135.79/86.47 tff(19892,plain,
% 135.79/86.47 (v123(constB102, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14592, 19891])).
% 135.79/86.47 tff(19893,plain,
% 135.79/86.47 (v84(constB102, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14587, 19872, 19892])).
% 135.79/86.47 tff(19894,plain,
% 135.79/86.47 (v84(constB103, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14349, 19893])).
% 135.79/86.47 tff(19895,plain,
% 135.79/86.47 (~v84(constB103, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14470, 13675])).
% 135.79/86.47 tff(19896,plain,
% 135.79/86.47 (v94(constB104)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[9311, 19895])).
% 135.79/86.47 tff(19897,plain,
% 135.79/86.47 (~v115(constB103)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11005, 19896, 6639])).
% 135.79/86.47 tff(19898,plain,
% 135.79/86.47 (v84(constB103, bitIndex0) | (~v84(constB103, bitIndex1))),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[9190, 1095, 19895, 19897])).
% 135.79/86.47 tff(19899,plain,
% 135.79/86.47 (v84(constB103, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19898, 19894])).
% 135.79/86.47 tff(19900,plain,
% 135.79/86.47 (v84(constB102, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14768, 19899])).
% 135.79/86.47 tff(19901,plain,
% 135.79/86.47 (v123(constB102, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14197, 1344, 795, 19872, 19900])).
% 135.79/86.47 tff(19902,plain,
% 135.79/86.47 (v121(constB101, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14202, 1362, 795, 13597, 19901])).
% 135.79/86.47 tff(19903,plain,
% 135.79/86.47 (v124(constB101, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14206, 1380, 795, 13653, 19902])).
% 135.79/86.47 tff(19904,plain,
% 135.79/86.47 (~v145(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14213, 2299, 1416, 795, 19903])).
% 135.79/86.47 tff(19905,plain,
% 135.79/86.47 (v145(constB101) | v118(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13478, 2601, 2424, 823, 19882, 19880, 19876, 19890, 19881])).
% 135.79/86.47 tff(19906,plain,
% 135.79/86.47 (v118(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19905, 19904])).
% 135.79/86.47 tff(19907,plain,
% 135.79/86.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB101, bitIndex2) | (~v118(constB101)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB101, bitIndex2) | (~v118(constB101)))),
% 135.79/86.47 inference(rewrite,[status(thm)],[])).
% 135.79/86.47 tff(19908,plain,
% 135.79/86.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB101, bitIndex2) | (~v118(constB101)))),
% 135.79/86.47 inference(quant_inst,[status(thm)],[])).
% 135.79/86.47 tff(19909,plain,
% 135.79/86.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB101, bitIndex2) | (~v118(constB101))),
% 135.79/86.47 inference(modus_ponens,[status(thm)],[19908, 19907])).
% 135.79/86.47 tff(19910,plain,
% 135.79/86.47 (v84(constB101, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19909, 5252, 19906])).
% 135.79/86.47 tff(19911,plain,
% 135.79/86.47 (v84(constB100, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19197, 19910])).
% 135.79/86.47 tff(19912,plain,
% 135.79/86.47 (~v84(constB101, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13491, 2842, 19906])).
% 135.79/86.47 tff(19913,plain,
% 135.79/86.47 (~v84(constB100, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13487, 19912])).
% 135.79/86.47 tff(19914,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19190, 19913, 19911, 19870])).
% 135.79/86.47 tff(19915,plain,(v84(constB102, bitIndex2) | (~v84(constB100, bitIndex0)) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19916,plain,
% 135.79/86.47 (~v84(constB100, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19915, 13675, 6639])).
% 135.79/86.47 tff(19917,plain,
% 135.79/86.47 (~v123(constB100, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13868, 19916])).
% 135.79/86.47 tff(19918,plain,
% 135.79/86.47 (~v121(constB99, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13876, 19917])).
% 135.79/86.47 tff(19919,plain,
% 135.79/86.47 (~v124(constB99, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13891, 19918])).
% 135.79/86.47 tff(19920,plain,
% 135.79/86.47 (v124(constB99, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13947, 19919, 13456])).
% 135.79/86.47 tff(19921,plain,
% 135.79/86.47 (v121(constB99, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13958, 19920])).
% 135.79/86.47 tff(19922,plain,
% 135.79/86.47 (v123(constB100, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13966, 19921])).
% 135.79/86.47 tff(19923,plain,
% 135.79/86.47 (v84(constB100, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13976, 19922, 13858])).
% 135.79/86.47 tff(19924,plain,
% 135.79/86.47 (v84(constB101, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13318, 19923])).
% 135.79/86.47 tff(19925,plain,
% 135.79/86.47 (~v145(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13419, 725, 19924])).
% 135.79/86.47 tff(19926,plain,
% 135.79/86.47 (~v115(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13398, 2665, 19924])).
% 135.79/86.47 tff(19927,plain,
% 135.79/86.47 (~v123(constB102, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19239, 13675])).
% 135.79/86.47 tff(19928,plain,
% 135.79/86.47 (~v121(constB101, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14053, 19927])).
% 135.79/86.47 tff(19929,plain,
% 135.79/86.47 (~v124(constB101, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19232, 19928])).
% 135.79/86.47 tff(19930,plain,
% 135.79/86.47 (~v116(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19229, 19929])).
% 135.79/86.47 tff(19931,plain,
% 135.79/86.47 (v84(constB103, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14619, 19895, 11445])).
% 135.79/86.47 tff(19932,plain,
% 135.79/86.47 (v84(constB102, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14453, 19931])).
% 135.79/86.47 tff(19933,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13990, 1344, 823, 14003, 13823, 14589])).
% 135.79/86.47 tff(19934,plain,((~v84(constB102, bitIndex1)) | (~v94(constB102)) | v123(constB102, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19935,plain,
% 135.79/86.47 (v123(constB102, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19934, 19932, 19235])).
% 135.79/86.47 tff(19936,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13995, 1362, 823, 13597, 14585, 19251])).
% 135.79/86.47 tff(19937,plain,((~v123(constB102, bitIndex1)) | v121(constB101, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19938,plain,
% 135.79/86.47 (v121(constB101, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19937, 19935])).
% 135.79/86.47 tff(19939,plain,
% 135.79/86.47 (v124(constB101, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13999, 1380, 823, 13653, 19938])).
% 135.79/86.47 tff(19940,plain,
% 135.79/86.47 (~v113(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13326, 19924])).
% 135.79/86.47 tff(19941,plain,
% 135.79/86.47 (~v172(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14070, 19929])).
% 135.79/86.47 tff(19942,plain,
% 135.79/86.47 (v145(constB101) | v118(constB101) | v115(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13478, 2601, 2424, 823, 19941, 19940, 19939, 19930])).
% 135.79/86.47 tff(19943,plain,
% 135.79/86.47 (v118(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19942, 19926, 19925])).
% 135.79/86.47 tff(19944,plain,
% 135.79/86.47 (~v84(constB101, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19215, 19916])).
% 135.79/86.47 tff(19945,plain,
% 135.79/86.47 (v84(constB101, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19212, 19940, 19944, 19941])).
% 135.79/86.47 tff(19946,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13491, 2842, 19945, 19943])).
% 135.79/86.47 tff(19947,plain,(v84(constB102, bitIndex2) | (~v94(constB100)) | v145(constB99) | v145(constB103) | v84(constB108, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19948,plain,
% 135.79/86.47 (v84(constB108, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19947, 13456, 11445, 19869, 14573])).
% 135.79/86.47 tff(19949,plain,
% 135.79/86.47 (v124(constB107, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11023, 19948, 19859])).
% 135.79/86.47 tff(19950,plain,
% 135.79/86.47 (~v124(constB107, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10564, 19949])).
% 135.79/86.47 tff(19951,plain,
% 135.79/86.47 (~v172(constB105)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11227, 19950, 19864])).
% 135.79/86.47 tff(19952,plain,
% 135.79/86.47 (v84(constB109, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[6746, 19948])).
% 135.79/86.47 tff(19953,plain,
% 135.79/86.47 (~v119(constB103)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14467, 7833, 9275])).
% 135.79/86.47 tff(19954,plain,
% 135.79/86.47 (~v145(constB105)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11522, 19953, 19859])).
% 135.79/86.47 tff(19955,plain,
% 135.79/86.47 (~v113(constB103)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12657, 1465, 19857])).
% 135.79/86.47 tff(19956,plain,
% 135.79/86.47 (~v84(constB106, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19656, 19951, 19864, 11445, 19955, 19952, 14564, 19954])).
% 135.79/86.47 tff(19957,plain,
% 135.79/86.47 (~v84(constB107, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10144, 19956])).
% 135.79/86.47 tff(19958,plain,
% 135.79/86.47 (v116(constB105)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12801, 19957, 19954, 19859, 19952, 19951])).
% 135.79/86.47 tff(19959,plain,
% 135.79/86.47 (v84(constB105, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12708, 10948, 19958])).
% 135.79/86.47 tff(19960,plain,
% 135.79/86.47 (v84(constB104, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12704, 19959])).
% 135.79/86.47 tff(19961,plain,
% 135.79/86.47 (v123(constB104, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12701, 19960, 14564])).
% 135.79/86.47 tff(19962,plain,
% 135.79/86.47 (v121(constB103, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12697, 19961])).
% 135.79/86.47 tff(19963,plain,
% 135.79/86.47 (v124(constB103, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12693, 19962])).
% 135.79/86.47 tff(19964,plain,
% 135.79/86.47 (~v116(constB103)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[10881, 19963])).
% 135.79/86.47 tff(19965,plain,
% 135.79/86.47 ((~v84(constB103, bitIndex0)) | v116(constB103)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[9294, 1076, 9275, 19857])).
% 135.79/86.47 tff(19966,plain,
% 135.79/86.47 (~v84(constB103, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19965, 19964])).
% 135.79/86.47 tff(19967,plain,
% 135.79/86.47 (~v84(constB102, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14353, 19966])).
% 135.79/86.47 tff(19968,plain,
% 135.79/86.47 (v84(constB101, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[14075, 19967, 19858, 14573, 13456])).
% 135.79/86.47 tff(19969,plain,
% 135.79/86.47 (~v115(constB101)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19879, 3011, 19968])).
% 135.79/86.47 tff(19970,plain,
% 135.79/86.47 (v145(constB111)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19758, 19952, 19859, 19954, 11445, 19955])).
% 135.79/86.47 tff(19971,plain,
% 135.79/86.47 (~v84(constB111, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8637, 816, 19970])).
% 135.79/86.47 tff(19972,plain,
% 135.79/86.47 (v94(constB112)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8567, 19971])).
% 135.79/86.47 tff(19973,plain,
% 135.79/86.47 (v94(constB114)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12475, 19972])).
% 135.79/86.47 tff(19974,plain,
% 135.79/86.47 (~v124(constB111, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19769, 19970])).
% 135.79/86.47 tff(19975,plain,
% 135.79/86.47 (~v121(constB111, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13016, 19974])).
% 135.79/86.47 tff(19976,plain,
% 135.79/86.47 (~v123(constB112, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13143, 19975])).
% 135.79/86.47 tff(19977,plain,
% 135.79/86.47 (~v84(constB112, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13138, 19972, 19976])).
% 135.79/86.47 tff(19978,plain,
% 135.79/86.47 (~v84(constB113, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8543, 19977])).
% 135.79/86.47 tff(19979,plain,
% 135.79/86.47 (~v124(constB111, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8594, 19970])).
% 135.79/86.47 tff(19980,plain,
% 135.79/86.47 (~v121(constB111, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8581, 19979])).
% 135.79/86.47 tff(19981,plain,
% 135.79/86.47 (~v123(constB112, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8576, 19980])).
% 135.79/86.47 tff(19982,plain,
% 135.79/86.47 (~v84(constB112, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8571, 19972, 19981])).
% 135.79/86.47 tff(19983,plain,
% 135.79/86.47 (~v84(constB113, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[12473, 19982])).
% 135.79/86.47 tff(19984,plain,
% 135.79/86.47 (~v84(constB111, bitIndex2)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[6954, 725, 19970])).
% 135.79/86.47 tff(19985,plain,
% 135.79/86.47 (~v172(constB113)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[13042, 19978])).
% 135.79/86.47 tff(19986,plain,
% 135.79/86.47 (v84(constB113, bitIndex1)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19829, 19985, 19971, 19984])).
% 135.79/86.47 tff(19987,plain,
% 135.79/86.47 (v115(constB113)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19833, 19986, 19983, 19978])).
% 135.79/86.47 tff(19988,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11717, 1148, 1193, 795, 8515, 12567])).
% 135.79/86.47 tff(19989,plain,(v124(constB113, bitIndex0) | (~v115(constB113))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19990,plain,
% 135.79/86.47 (v124(constB113, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19989, 19987])).
% 135.79/86.47 tff(19991,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11710, 1728, 795, 7491, 12555, 12574])).
% 135.79/86.47 tff(19992,plain,((~v124(constB113, bitIndex0)) | v121(constB113, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19993,plain,
% 135.79/86.47 (v121(constB113, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19992, 19990])).
% 135.79/86.47 tff(19994,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11703, 1708, 795, 7467, 12566, 12582])).
% 135.79/86.47 tff(19995,plain,(v123(constB114, bitIndex0) | (~v121(constB113, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19996,plain,
% 135.79/86.47 (v123(constB114, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19995, 19993])).
% 135.79/86.47 tff(19997,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[11698, 1674, 795, 8369, 7594, 12575])).
% 135.79/86.47 tff(19998,plain,(v84(constB114, bitIndex0) | (~v94(constB114)) | (~v123(constB114, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(19999,plain,
% 135.79/86.47 (v84(constB114, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[19998, 19996, 19973])).
% 135.79/86.47 tff(20000,plain,
% 135.79/86.47 (v84(constB115, bitIndex0)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[7654, 19999])).
% 135.79/86.47 tff(20001,plain,
% 135.79/86.47 (~v119(constB115)),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[7665, 20000])).
% 135.79/86.47 tff(20002,plain,
% 135.79/86.47 ($false),
% 135.79/86.47 inference(unit_resolution,[status(thm)],[8221, 2066, 1798, 767, 6995, 8237])).
% 135.79/86.47 tff(20003,plain,(v124(constB111, bitIndex2) | (~v172(constB111))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.47 tff(20004,plain,
% 135.79/86.47 (~v172(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20003, 19974])).
% 135.79/86.48 tff(20005,plain,
% 135.79/86.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB111, bitIndex1) | (~v116(constB111)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB111, bitIndex1) | (~v116(constB111)))),
% 135.79/86.48 inference(rewrite,[status(thm)],[])).
% 135.79/86.48 tff(20006,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB111, bitIndex1) | (~v116(constB111)))),
% 135.79/86.48 inference(quant_inst,[status(thm)],[])).
% 135.79/86.48 tff(20007,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB111, bitIndex1) | (~v116(constB111))),
% 135.79/86.48 inference(modus_ponens,[status(thm)],[20006, 20005])).
% 135.79/86.48 tff(20008,plain,
% 135.79/86.48 (~v116(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20007, 1268, 6988])).
% 135.79/86.48 tff(20009,plain,
% 135.79/86.48 (~v145(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8381, 8379])).
% 135.79/86.48 tff(20010,plain,
% 135.79/86.48 (~v172(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7563, 1801, 1798, 823, 8379])).
% 135.79/86.48 tff(20011,plain,
% 135.79/86.48 (v84(constB113, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8473, 20010, 20009])).
% 135.79/86.48 tff(20012,plain,
% 135.79/86.48 (v84(constB112, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8480, 805, 823, 7293, 7305, 20011])).
% 135.79/86.48 tff(20013,plain,
% 135.79/86.48 (v123(constB112, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8552, 1344, 823, 8568, 20012])).
% 135.79/86.48 tff(20014,plain,
% 135.79/86.48 (v121(constB111, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8557, 1362, 823, 7094, 20013])).
% 135.79/86.48 tff(20015,plain,
% 135.79/86.48 (v124(constB111, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8561, 1380, 823, 7083, 20014])).
% 135.79/86.48 tff(20016,plain,
% 135.79/86.48 (~v113(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8675, 2167, 2186, 823, 20015])).
% 135.79/86.48 tff(20017,plain,
% 135.79/86.48 (~v145(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8594, 8585])).
% 135.79/86.48 tff(20018,plain,
% 135.79/86.48 (v172(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8618, 20017, 6988, 8607, 7259, 8615])).
% 135.79/86.48 tff(20019,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8601, 1997, 1994, 795, 20018, 8585])).
% 135.79/86.48 tff(20020,plain,((~v124(constB111, bitIndex0)) | v84(constB111, bitIndex1) | v118(constB111) | v116(constB111) | v113(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20021,plain,
% 135.79/86.48 (~v124(constB111, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20020, 20016, 8607, 6988, 20008])).
% 135.79/86.48 tff(20022,plain,
% 135.79/86.48 (~v121(constB111, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8581, 20021])).
% 135.79/86.48 tff(20023,plain,
% 135.79/86.48 (~v123(constB112, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8576, 20022])).
% 135.79/86.48 tff(20024,plain,
% 135.79/86.48 (~v84(constB112, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8571, 20023, 8568])).
% 135.79/86.48 tff(20025,plain,
% 135.79/86.48 (~v84(constB113, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12473, 20024])).
% 135.79/86.48 tff(20026,plain,
% 135.79/86.48 (~v115(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8517, 8379])).
% 135.79/86.48 tff(20027,plain,
% 135.79/86.48 (v84(constB113, bitIndex0) | v84(constB113, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8537, 1095, 20011, 20026])).
% 135.79/86.48 tff(20028,plain,
% 135.79/86.48 (v84(constB113, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20027, 20025])).
% 135.79/86.48 tff(20029,plain,
% 135.79/86.48 (v84(constB112, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8543, 20028])).
% 135.79/86.48 tff(20030,plain,
% 135.79/86.48 (v123(constB112, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8394, 1344, 767, 8568, 20029])).
% 135.79/86.48 tff(20031,plain,
% 135.79/86.48 (v121(constB111, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8398, 1362, 767, 7094, 20030])).
% 135.79/86.48 tff(20032,plain,
% 135.79/86.48 (v124(constB111, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8405, 1380, 767, 7083, 20031])).
% 135.79/86.48 tff(20033,plain,
% 135.79/86.48 (v145(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8618, 20016, 6988, 8607, 7047, 20008])).
% 135.79/86.48 tff(20034,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8420, 1419, 1416, 767, 20033, 20032])).
% 135.79/86.48 tff(20035,plain,(v124(constB113, bitIndex1) | v84(constB111, bitIndex1) | v118(constB111) | v172(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20036,plain,
% 135.79/86.48 (v118(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20035, 6988, 8379, 7047])).
% 135.79/86.48 tff(20037,assumption,(v118(constB111)), introduced(assumption)).
% 135.79/86.48 tff(20038,plain,
% 135.79/86.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB111, bitIndex2) | (~v118(constB111)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB111, bitIndex2) | (~v118(constB111)))),
% 135.79/86.48 inference(rewrite,[status(thm)],[])).
% 135.79/86.48 tff(20039,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB111, bitIndex2) | (~v118(constB111)))),
% 135.79/86.48 inference(quant_inst,[status(thm)],[])).
% 135.79/86.48 tff(20040,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB111, bitIndex2) | (~v118(constB111))),
% 135.79/86.48 inference(modus_ponens,[status(thm)],[20039, 20038])).
% 135.79/86.48 tff(20041,plain,
% 135.79/86.48 (v84(constB111, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20040, 5252, 20037])).
% 135.79/86.48 tff(20042,plain,
% 135.79/86.48 (v84(constB110, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10577, 20041])).
% 135.79/86.48 tff(20043,plain,
% 135.79/86.48 (v84(constB111, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12975, 2642, 20037])).
% 135.79/86.48 tff(20044,plain,
% 135.79/86.48 (v84(constB110, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12746, 805, 795, 6929, 6941, 20043])).
% 135.79/86.48 tff(20045,plain,
% 135.79/86.48 (v94(constB110) | v84(constB109, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12753, 805, 795, 6752, 20044])).
% 135.79/86.48 tff(20046,plain,
% 135.79/86.48 (v94(constB110)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20045, 14654])).
% 135.79/86.48 tff(20047,plain,
% 135.79/86.48 (v123(constB110, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10630, 20046, 20042])).
% 135.79/86.48 tff(20048,plain,
% 135.79/86.48 (v121(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10638, 20047])).
% 135.79/86.48 tff(20049,plain,
% 135.79/86.48 (v124(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10617, 20048])).
% 135.79/86.48 tff(20050,plain,
% 135.79/86.48 (~v123(constB110, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8840, 20046, 6973])).
% 135.79/86.48 tff(20051,plain,
% 135.79/86.48 (~v121(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10494, 20050])).
% 135.79/86.48 tff(20052,plain,
% 135.79/86.48 (~v124(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10486, 20051])).
% 135.79/86.48 tff(20053,plain,
% 135.79/86.48 (~v172(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10650, 20052])).
% 135.79/86.48 tff(20054,plain,
% 135.79/86.48 (v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v172(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10621, 1047, 11049])).
% 135.79/86.48 tff(20055,plain,
% 135.79/86.48 (v84(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20054, 20053, 14654])).
% 135.79/86.48 tff(20056,plain,
% 135.79/86.48 (~v118(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6871, 2842, 20055])).
% 135.79/86.48 tff(20057,plain,
% 135.79/86.48 (~v145(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10596, 725, 11049])).
% 135.79/86.48 tff(20058,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10607, 2427, 2424, 767, 20057, 14649, 20053, 20056, 14650, 20049, 14666])).
% 135.79/86.48 tff(20059,plain,((~v118(constB111)) | v84(constB110, bitIndex1) | (~v94(constB108)) | (~v84(constB108, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20060,plain,
% 135.79/86.48 (~v84(constB108, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20059, 20036, 6505, 19683])).
% 135.79/86.48 tff(20061,plain,
% 135.79/86.48 (~v84(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10502, 20060])).
% 135.79/86.48 tff(20062,plain,
% 135.79/86.48 (v94(constB110)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8829, 20061])).
% 135.79/86.48 tff(20063,plain,
% 135.79/86.48 (~v123(constB110, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8840, 20062, 19683])).
% 135.79/86.48 tff(20064,plain,
% 135.79/86.48 (~v121(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10494, 20063])).
% 135.79/86.48 tff(20065,plain,
% 135.79/86.48 (~v124(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10486, 20064])).
% 135.79/86.48 tff(20066,plain,
% 135.79/86.48 (v145(constB105)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10475, 20065, 20061])).
% 135.79/86.48 tff(20067,plain,
% 135.79/86.48 (~v84(constB105, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10296, 725, 20066])).
% 135.79/86.48 tff(20068,plain,
% 135.79/86.48 (~v84(constB104, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8928, 20067])).
% 135.79/86.48 tff(20069,plain,
% 135.79/86.48 (v94(constB104)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10776, 20068])).
% 135.79/86.48 tff(20070,plain,
% 135.79/86.48 (~v84(constB105, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10783, 816, 20066])).
% 135.79/86.48 tff(20071,plain,
% 135.79/86.48 (~v84(constB104, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8940, 20070])).
% 135.79/86.48 tff(20072,plain,
% 135.79/86.48 (v121(constB103, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9054, 20071, 20068, 20069])).
% 135.79/86.48 tff(20073,plain,
% 135.79/86.48 (v124(constB103, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 20072])).
% 135.79/86.48 tff(20074,plain,
% 135.79/86.48 (~v172(constB103)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10819, 1997, 1994, 795, 20073])).
% 135.79/86.48 tff(20075,plain,
% 135.79/86.48 (~v123(constB104, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10788, 20071, 20069])).
% 135.79/86.48 tff(20076,plain,
% 135.79/86.48 (~v121(constB103, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10793, 20075])).
% 135.79/86.48 tff(20077,plain,
% 135.79/86.48 (~v124(constB103, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10798, 20076])).
% 135.79/86.48 tff(20078,plain,
% 135.79/86.48 (~v118(constB103)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10829, 3033, 1145, 823, 20077])).
% 135.79/86.48 tff(20079,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11011, 20078, 20074, 20060, 10808, 20066])).
% 135.79/86.48 tff(20080,plain,(v84(constB111, bitIndex1) | v119(constB103) | (~v94(constB108)) | v124(constB113, bitIndex1) | v172(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20081,plain,
% 135.79/86.48 (v124(constB113, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20080, 19971, 19859, 19953, 20004])).
% 135.79/86.48 tff(20082,assumption,(~v121(constB113, bitIndex1)), introduced(assumption)).
% 135.79/86.48 tff(20083,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7497, 1728, 823, 7491, 13059, 20082])).
% 135.79/86.48 tff(20084,plain,(v121(constB113, bitIndex1) | (~v124(constB113, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20085,plain,
% 135.79/86.48 (v121(constB113, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20084, 20081])).
% 135.79/86.48 tff(20086,plain,
% 135.79/86.48 (v123(constB114, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8376, 20085])).
% 135.79/86.48 tff(20087,plain,
% 135.79/86.48 (v84(constB114, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8371, 20086, 19973])).
% 135.79/86.48 tff(20088,plain,
% 135.79/86.48 (v84(constB115, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7672, 20087])).
% 135.79/86.48 tff(20089,plain,
% 135.79/86.48 (~v118(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7680, 20088])).
% 135.79/86.48 tff(20090,plain,
% 135.79/86.48 (v84(constB116, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12118, 20088, 5520, 19954])).
% 135.79/86.48 tff(20091,plain,
% 135.79/86.48 (v84(constB115, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12142, 20090, 6526, 20088])).
% 135.79/86.48 tff(20092,plain,
% 135.79/86.48 (~v116(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7695, 20091])).
% 135.79/86.48 tff(20093,plain,
% 135.79/86.48 (v116(constB115) | (~v109(constB115)) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0))),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7754, 12255])).
% 135.79/86.48 tff(20094,plain,
% 135.79/86.48 (~v109(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20093, 20000, 20088, 20092])).
% 135.79/86.48 tff(20095,plain,
% 135.79/86.48 (~v108(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7763, 20094, 20089])).
% 135.79/86.48 tff(20096,plain,
% 135.79/86.48 (~v107(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7772, 20095, 20001])).
% 135.79/86.48 tff(20097,plain,
% 135.79/86.48 (~v106(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7814, 3161, 20096])).
% 135.79/86.48 tff(20098,plain,
% 135.79/86.48 (~v102(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7810, 20097])).
% 135.79/86.48 tff(20099,plain,
% 135.79/86.48 (~v104(constB116)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7798, 20098])).
% 135.79/86.48 tff(20100,plain,
% 135.79/86.48 (~v94(constB116)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7790, 20099])).
% 135.79/86.48 tff(20101,plain,
% 135.79/86.48 (v84(constB101, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19842, 20100])).
% 135.79/86.48 tff(20102,plain,
% 135.79/86.48 (~v145(constB101)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13419, 725, 20101])).
% 135.79/86.48 tff(20103,plain,
% 135.79/86.48 (v123(constB102, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19934, 19858, 19248])).
% 135.79/86.48 tff(20104,plain,
% 135.79/86.48 (v121(constB101, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19937, 20103])).
% 135.79/86.48 tff(20105,plain,
% 135.79/86.48 (v124(constB101, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13999, 1380, 823, 13653, 20104])).
% 135.79/86.48 tff(20106,plain,
% 135.79/86.48 (~v113(constB101)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13470, 20105])).
% 135.79/86.48 tff(20107,plain,
% 135.79/86.48 (~v172(constB101)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[14070, 19275])).
% 135.79/86.48 tff(20108,plain,
% 135.79/86.48 (v145(constB101) | v118(constB101) | v115(constB101)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13478, 2601, 2424, 823, 20107, 20106, 20105, 19276])).
% 135.79/86.48 tff(20109,plain,
% 135.79/86.48 (v118(constB101)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20108, 20102, 19969])).
% 135.79/86.48 tff(20110,plain,
% 135.79/86.48 (v84(constB100, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19197, 20101])).
% 135.79/86.48 tff(20111,plain,
% 135.79/86.48 (v84(constB100, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19215, 19968])).
% 135.79/86.48 tff(20112,plain,
% 135.79/86.48 (~v172(constB100)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19219, 7708, 20111])).
% 135.79/86.48 tff(20113,plain,
% 135.79/86.48 (v84(constB100, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19190, 20112, 20110])).
% 135.79/86.48 tff(20114,plain,
% 135.79/86.48 (v84(constB101, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13487, 20113])).
% 135.79/86.48 tff(20115,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13491, 2842, 20114, 20109])).
% 135.79/86.48 tff(20116,plain,(v145(constB99) | (~v84(constB116, bitIndex2)) | (~v84(constB118, bitIndex0)) | v84(constB103, bitIndex2) | v145(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20117,plain,
% 135.79/86.48 (v84(constB103, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20116, 19856, 13148, 10751, 5520])).
% 135.79/86.48 tff(20118,plain,
% 135.79/86.48 (v84(constB102, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[14470, 20117])).
% 135.79/86.48 tff(20119,plain,
% 135.79/86.48 (v102(constB93)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[18757, 12608])).
% 135.79/86.48 tff(20120,plain,
% 135.79/86.48 (v104(constB94)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[15916, 20119])).
% 135.79/86.48 tff(20121,plain,
% 135.79/86.48 (v94(constB94)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[15908, 20120])).
% 135.79/86.48 tff(20122,plain,
% 135.79/86.48 (v94(constB96)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[18907, 20121])).
% 135.79/86.48 tff(20123,plain,
% 135.79/86.48 (~v115(constB117)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12875, 6519])).
% 135.79/86.48 tff(20124,plain,
% 135.79/86.48 (v94(constB104)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12686, 9380])).
% 135.79/86.48 tff(20125,plain,
% 135.79/86.48 (~v115(constB103)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11005, 6639, 20124])).
% 135.79/86.48 tff(20126,plain,
% 135.79/86.48 (v84(constB102, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19947, 6639, 13456, 19290, 11445])).
% 135.79/86.48 tff(20127,plain,
% 135.79/86.48 (v84(constB103, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[14267, 20126])).
% 135.79/86.48 tff(20128,plain,
% 135.79/86.48 (~v84(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10502, 6639])).
% 135.79/86.48 tff(20129,plain,
% 135.79/86.48 (~v172(constB105)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12641, 5263, 8904])).
% 135.79/86.48 tff(20130,plain,
% 135.79/86.48 (~v119(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12710, 20129])).
% 135.79/86.48 tff(20131,plain,
% 135.79/86.48 (~v119(constB105)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10289, 7833, 8904])).
% 135.79/86.48 tff(20132,plain,
% 135.79/86.48 (v84(constB106, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10980, 8842, 9457, 11371])).
% 135.79/86.48 tff(20133,plain,
% 135.79/86.48 (v84(constB107, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9902, 20132])).
% 135.79/86.48 tff(20134,plain,
% 135.79/86.48 (~v118(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9906, 2842, 20133])).
% 135.79/86.48 tff(20135,assumption,(v108(constB107)), introduced(assumption)).
% 135.79/86.48 tff(20136,plain,
% 135.79/86.48 (v109(constB107) | v118(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9910, 2856, 20135])).
% 135.79/86.48 tff(20137,plain,
% 135.79/86.48 (v109(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20136, 20134])).
% 135.79/86.48 tff(20138,plain,
% 135.79/86.48 (~v172(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9914, 2289, 20133])).
% 135.79/86.48 tff(20139,plain,
% 135.79/86.48 (v110(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9921, 2871, 20138, 20137])).
% 135.79/86.48 tff(20140,plain,
% 135.79/86.48 (~v145(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9936, 20133])).
% 135.79/86.48 tff(20141,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10083, 10906, 6639, 10003, 10067, 6785, 11152, 10066])).
% 135.79/86.48 tff(20142,plain,(v84(constB108, bitIndex2) | v124(constB107, bitIndex0) | v172(constB107) | v145(constB107) | v118(constB107)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20143,plain,
% 135.79/86.48 (v124(constB107, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20142, 20134, 8842, 20140, 20138])).
% 135.79/86.48 tff(20144,plain,
% 135.79/86.48 (v121(constB107, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10001, 20143])).
% 135.79/86.48 tff(20145,plain,
% 135.79/86.48 (v123(constB108, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9990, 20144])).
% 135.79/86.48 tff(20146,plain,
% 135.79/86.48 (v84(constB108, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9982, 20145, 6505])).
% 135.79/86.48 tff(20147,plain,
% 135.79/86.48 (v84(constB109, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6783, 20146])).
% 135.79/86.48 tff(20148,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8817, 1076, 6825, 6723, 6844, 10599])).
% 135.79/86.48 tff(20149,plain,((~v84(constB109, bitIndex1)) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)) | v116(constB109)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20150,plain,
% 135.79/86.48 (~v84(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20149, 20147, 10599, 6723])).
% 135.79/86.48 tff(20151,plain,
% 135.79/86.48 (~v84(constB108, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6823, 20150])).
% 135.79/86.48 tff(20152,plain,
% 135.79/86.48 (~v123(constB108, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10024, 20151, 6505])).
% 135.79/86.48 tff(20153,plain,
% 135.79/86.48 (~v121(constB107, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10032, 20152])).
% 135.79/86.48 tff(20154,plain,
% 135.79/86.48 (~v124(constB107, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10043, 20153])).
% 135.79/86.48 tff(20155,plain,
% 135.79/86.48 (~v115(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12729, 20154])).
% 135.79/86.48 tff(20156,plain,
% 135.79/86.48 (~v113(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8870, 8842, 6505])).
% 135.79/86.48 tff(20157,plain,
% 135.79/86.48 (~v112(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9943, 2894, 20140, 20156])).
% 135.79/86.48 tff(20158,plain,
% 135.79/86.48 (v115(constB107) | (~v111(constB107))),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9947, 2911, 20157])).
% 135.79/86.48 tff(20159,plain,
% 135.79/86.48 (~v111(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20158, 20155])).
% 135.79/86.48 tff(20160,plain,
% 135.79/86.48 (v116(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9957, 2932, 20159, 20139])).
% 135.79/86.48 tff(20161,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10547, 2386, 2164, 795, 20143, 20160])).
% 135.79/86.48 tff(20162,plain,(v84(constB109, bitIndex2) | (~v94(constB108)) | v116(constB109) | (~v108(constB107)) | v119(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20163,plain,
% 135.79/86.48 (~v108(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20162, 20131, 6723, 10599, 6505])).
% 135.79/86.48 tff(20164,plain,
% 135.79/86.48 (v108(constB107) | v119(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9894, 3195, 11367])).
% 135.79/86.48 tff(20165,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20164, 20163, 20130])).
% 135.79/86.48 tff(20166,plain,(v84(constB105, bitIndex2) | v84(constB109, bitIndex2) | v116(constB109) | (~v94(constB108))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20167,plain,
% 135.79/86.48 (v116(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20166, 6723, 8904, 6505])).
% 135.79/86.48 tff(20168,plain,
% 135.79/86.48 (v124(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12416, 20167])).
% 135.79/86.48 tff(20169,plain,
% 135.79/86.48 (v121(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12425, 20168])).
% 135.79/86.48 tff(20170,plain,
% 135.79/86.48 (~v84(constB110, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12398, 12344, 6723])).
% 135.79/86.48 tff(20171,plain,
% 135.79/86.48 (~v123(constB110, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12489, 20170, 8830])).
% 135.79/86.48 tff(20172,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12431, 20171, 20169])).
% 135.79/86.48 tff(20173,plain,(v84(constB109, bitIndex2) | v145(constB105) | v84(constB105, bitIndex2) | (~v94(constB108))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20174,plain,
% 135.79/86.48 (~v94(constB108)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20173, 6723, 8904, 6519])).
% 135.79/86.48 tff(20175,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6720, 20174, 8842])).
% 135.79/86.48 tff(20176,plain,(v84(constB109, bitIndex2) | v84(constB105, bitIndex2) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20177,plain,
% 135.79/86.48 (v84(constB105, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20176, 20128, 6519])).
% 135.79/86.48 tff(20178,plain,
% 135.79/86.48 (~v145(constB105)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10772, 9561])).
% 135.79/86.48 tff(20179,plain,
% 135.79/86.48 (v84(constB104, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9566, 9561])).
% 135.79/86.48 tff(20180,plain,
% 135.79/86.48 (~v94(constB104)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10901, 20179, 8969])).
% 135.79/86.48 tff(20181,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12683, 20180, 20178, 9380])).
% 135.79/86.48 tff(20182,plain,((~v84(constB105, bitIndex2)) | (~v107(constB105)) | v123(constB104, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20183,plain,
% 135.79/86.48 (v123(constB104, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20182, 20177, 9380])).
% 135.79/86.48 tff(20184,plain,
% 135.79/86.48 (v121(constB103, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10898, 20183])).
% 135.79/86.48 tff(20185,plain,
% 135.79/86.48 (v124(constB103, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10893, 20184])).
% 135.79/86.48 tff(20186,plain,
% 135.79/86.48 (v118(constB103)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12665, 20185, 20127, 20125, 9324, 11445])).
% 135.79/86.48 tff(20187,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[9631, 2030, 2027, 767, 20185, 20186])).
% 135.79/86.48 tff(20188,plain,(v84(constB108, bitIndex2) | v172(constB103) | v145(constB103) | (~v107(constB105)) | v145(constB105) | v145(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20189,plain,
% 135.79/86.48 (v84(constB108, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20188, 9324, 11445, 12608, 6519, 13456])).
% 135.79/86.48 tff(20190,plain,
% 135.79/86.48 (v84(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6746, 20189])).
% 135.79/86.48 tff(20191,plain,
% 135.79/86.48 (v124(constB107, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11023, 20189, 6505])).
% 135.79/86.48 tff(20192,plain,
% 135.79/86.48 (~v124(constB107, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10564, 20191])).
% 135.79/86.48 tff(20193,plain,
% 135.79/86.48 (~v172(constB105)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11227, 20192, 11371])).
% 135.79/86.48 tff(20194,plain,
% 135.79/86.48 (v84(constB105, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12669, 20193, 6519])).
% 135.79/86.48 tff(20195,plain,
% 135.79/86.48 (v84(constB104, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11043, 20194])).
% 135.79/86.48 tff(20196,plain,
% 135.79/86.48 (v123(constB104, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11135, 1344, 823, 12687, 20195])).
% 135.79/86.48 tff(20197,plain,
% 135.79/86.48 (v121(constB103, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11422, 20196])).
% 135.79/86.48 tff(20198,plain,
% 135.79/86.48 (v124(constB103, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 20197])).
% 135.79/86.48 tff(20199,plain,
% 135.79/86.48 (~v113(constB103)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[14745, 2167, 2186, 823, 20198])).
% 135.79/86.48 tff(20200,plain,
% 135.79/86.48 (v145(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19758, 20199, 6505, 6519, 11445, 20190])).
% 135.79/86.48 tff(20201,plain,
% 135.79/86.48 (~v84(constB111, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8637, 816, 20200])).
% 135.79/86.48 tff(20202,plain,
% 135.79/86.48 (v94(constB112)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8567, 20201])).
% 135.79/86.48 tff(20203,plain,
% 135.79/86.48 (v94(constB114)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12475, 20202])).
% 135.79/86.48 tff(20204,plain,
% 135.79/86.48 (~v124(constB111, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19769, 20200])).
% 135.79/86.48 tff(20205,plain,
% 135.79/86.48 (~v121(constB111, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13016, 20204])).
% 135.79/86.48 tff(20206,plain,
% 135.79/86.48 (~v123(constB112, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13143, 20205])).
% 135.79/86.48 tff(20207,plain,
% 135.79/86.48 (~v84(constB112, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13138, 20202, 20206])).
% 135.79/86.48 tff(20208,plain,
% 135.79/86.48 (~v84(constB113, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8543, 20207])).
% 135.79/86.48 tff(20209,plain,
% 135.79/86.48 (~v124(constB111, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8594, 20200])).
% 135.79/86.48 tff(20210,plain,
% 135.79/86.48 (~v121(constB111, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8581, 20209])).
% 135.79/86.48 tff(20211,plain,
% 135.79/86.48 (~v123(constB112, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8576, 20210])).
% 135.79/86.48 tff(20212,plain,
% 135.79/86.48 (~v84(constB112, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8571, 20202, 20211])).
% 135.79/86.48 tff(20213,plain,
% 135.79/86.48 (~v84(constB113, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12473, 20212])).
% 135.79/86.48 tff(20214,plain,
% 135.79/86.48 (~v172(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13042, 20208])).
% 135.79/86.48 tff(20215,plain,
% 135.79/86.48 (v84(constB113, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8263, 20214, 20213])).
% 135.79/86.48 tff(20216,plain,
% 135.79/86.48 (v115(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19833, 20215, 20213, 20208])).
% 135.79/86.48 tff(20217,plain,
% 135.79/86.48 (v124(constB113, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19989, 20216])).
% 135.79/86.48 tff(20218,plain,
% 135.79/86.48 (v121(constB113, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19992, 20217])).
% 135.79/86.48 tff(20219,plain,
% 135.79/86.48 (v123(constB114, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19995, 20218])).
% 135.79/86.48 tff(20220,plain,
% 135.79/86.48 (v84(constB114, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19998, 20219, 20203])).
% 135.79/86.48 tff(20221,plain,
% 135.79/86.48 (v84(constB115, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7654, 20220])).
% 135.79/86.48 tff(20222,plain,
% 135.79/86.48 (~v84(constB110, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6993, 20201])).
% 135.79/86.48 tff(20223,plain,
% 135.79/86.48 (v84(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10496, 6973, 6519])).
% 135.79/86.48 tff(20224,plain,
% 135.79/86.48 (~v84(constB111, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19752, 6973])).
% 135.79/86.48 tff(20225,plain,
% 135.79/86.48 (~v118(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20059, 6973, 11050, 6505])).
% 135.79/86.48 tff(20226,plain,
% 135.79/86.48 (v172(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20035, 20225, 20224, 8379])).
% 135.79/86.48 tff(20227,plain,
% 135.79/86.48 (v94(constB108)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6985, 6973])).
% 135.79/86.48 tff(20228,plain,
% 135.79/86.48 (v124(constB107, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11023, 11050, 20227])).
% 135.79/86.48 tff(20229,plain,
% 135.79/86.48 (~v124(constB107, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10564, 20228])).
% 135.79/86.48 tff(20230,plain,
% 135.79/86.48 (~v121(constB107, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10116, 20229])).
% 135.79/86.48 tff(20231,plain,
% 135.79/86.48 (~v123(constB108, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10110, 20230])).
% 135.79/86.48 tff(20232,plain,
% 135.79/86.48 (~v84(constB108, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10104, 20231, 20227])).
% 135.79/86.48 tff(20233,plain,
% 135.79/86.48 (~v84(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6981, 6749, 6973])).
% 135.79/86.48 tff(20234,plain,
% 135.79/86.48 (v84(constB109, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10669, 8744, 20233])).
% 135.79/86.48 tff(20235,plain,
% 135.79/86.48 (~v118(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11276, 1004, 8740])).
% 135.79/86.48 tff(20236,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11285, 1018, 20233, 6748, 20235, 20234])).
% 135.79/86.48 tff(20237,plain,(v94(constB110) | (~v84(constB109, bitIndex2)) | v84(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20238,plain,
% 135.79/86.48 (v94(constB110)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20237, 6748, 6973])).
% 135.79/86.48 tff(20239,plain,
% 135.79/86.48 (~v123(constB110, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8840, 20238, 6973])).
% 135.79/86.48 tff(20240,plain,
% 135.79/86.48 (~v121(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10494, 20239])).
% 135.79/86.48 tff(20241,plain,
% 135.79/86.48 (~v124(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10486, 20240])).
% 135.79/86.48 tff(20242,plain,
% 135.79/86.48 (~v172(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10650, 20241])).
% 135.79/86.48 tff(20243,plain,
% 135.79/86.48 (v84(constB109, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10640, 20242, 6973, 6922, 6748])).
% 135.79/86.48 tff(20244,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10098, 20243, 20232])).
% 135.79/86.48 tff(20245,plain,((~v84(constB109, bitIndex2)) | v84(constB110, bitIndex1) | (~v84(constB110, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20246,plain,
% 135.79/86.48 (~v84(constB110, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20245, 6973, 6748])).
% 135.79/86.48 tff(20247,plain,
% 135.79/86.48 (~v84(constB111, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10577, 20246])).
% 135.79/86.48 tff(20248,plain,
% 135.79/86.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB111, bitIndex2) | (~v172(constB111)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB111, bitIndex2) | (~v172(constB111)))),
% 135.79/86.48 inference(rewrite,[status(thm)],[])).
% 135.79/86.48 tff(20249,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB111, bitIndex2) | (~v172(constB111)))),
% 135.79/86.48 inference(quant_inst,[status(thm)],[])).
% 135.79/86.48 tff(20250,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB111, bitIndex2) | (~v172(constB111))),
% 135.79/86.48 inference(modus_ponens,[status(thm)],[20249, 20248])).
% 135.79/86.48 tff(20251,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20250, 5263, 6923, 6995])).
% 135.79/86.48 tff(20252,plain,((~v172(constB111)) | v84(constB111, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20253,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20252, 20247, 20226])).
% 135.79/86.48 tff(20254,plain,(v84(constB110, bitIndex1) | v124(constB113, bitIndex1) | (~v84(constB109, bitIndex2)) | (~v94(constB108))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20255,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20254, 20223, 6973, 8379, 6505])).
% 135.79/86.48 tff(20256,plain,(v84(constB110, bitIndex1) | v124(constB113, bitIndex1) | (~v94(constB108)) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20257,plain,
% 135.79/86.48 (v124(constB113, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20256, 20222, 6505, 6519])).
% 135.79/86.48 tff(20258,plain,
% 135.79/86.48 (v121(constB113, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20084, 20257])).
% 135.79/86.48 tff(20259,plain,
% 135.79/86.48 (v123(constB114, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8376, 20258])).
% 135.79/86.48 tff(20260,plain,
% 135.79/86.48 (v84(constB114, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8371, 20259, 20203])).
% 135.79/86.48 tff(20261,plain,
% 135.79/86.48 (v84(constB115, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7672, 20260])).
% 135.79/86.48 tff(20262,assumption,(v116(constB111)), introduced(assumption)).
% 135.79/86.48 tff(20263,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20007, 1268, 6988, 20262])).
% 135.79/86.48 tff(20264,plain,((~v116(constB111)) | v84(constB111, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20265,plain,
% 135.79/86.48 (~v116(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20264, 20201])).
% 135.79/86.48 tff(20266,plain,
% 135.79/86.48 (~v121(constB107, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10116, 20192])).
% 135.79/86.48 tff(20267,plain,
% 135.79/86.48 (~v123(constB108, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10110, 20266])).
% 135.79/86.48 tff(20268,plain,
% 135.79/86.48 (~v84(constB108, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10104, 20267, 6505])).
% 135.79/86.48 tff(20269,plain,
% 135.79/86.48 (~v84(constB109, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10098, 20268])).
% 135.79/86.48 tff(20270,plain,
% 135.79/86.48 (~v145(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11040, 20269])).
% 135.79/86.48 tff(20271,plain,
% 135.79/86.48 (~v84(constB106, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[19656, 20199, 11371, 11445, 20190, 20193, 12687, 6519])).
% 135.79/86.48 tff(20272,plain,
% 135.79/86.48 (~v84(constB107, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10144, 20271])).
% 135.79/86.48 tff(20273,plain,
% 135.79/86.48 (v107(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11317, 20272, 20270])).
% 135.79/86.48 tff(20274,plain,
% 135.79/86.48 (v106(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8735, 20273])).
% 135.79/86.48 tff(20275,plain,
% 135.79/86.48 (v102(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8727, 619, 20274])).
% 135.79/86.48 tff(20276,plain,
% 135.79/86.48 (v104(constB110)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8723, 20275])).
% 135.79/86.48 tff(20277,plain,
% 135.79/86.48 (v94(constB110)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8715, 20276])).
% 135.79/86.48 tff(20278,plain,
% 135.79/86.48 (~v113(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10589, 1119, 20190])).
% 135.79/86.48 tff(20279,plain,
% 135.79/86.48 (~v115(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10585, 2665, 20190])).
% 135.79/86.48 tff(20280,plain,
% 135.79/86.48 (~v118(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10581, 2642, 20269])).
% 135.79/86.48 tff(20281,plain,
% 135.79/86.48 (~v116(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6892, 1130, 20190])).
% 135.79/86.48 tff(20282,plain,
% 135.79/86.48 (~v145(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11027, 20191])).
% 135.79/86.48 tff(20283,plain,
% 135.79/86.48 (v172(constB107)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11225, 20271, 20192, 20282])).
% 135.79/86.48 tff(20284,plain,
% 135.79/86.48 (v124(constB107, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10063, 20283])).
% 135.79/86.48 tff(20285,plain,
% 135.79/86.48 (v121(constB107, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10043, 20284])).
% 135.79/86.48 tff(20286,plain,
% 135.79/86.48 (v123(constB108, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10032, 20285])).
% 135.79/86.48 tff(20287,plain,
% 135.79/86.48 (v84(constB108, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10024, 20286, 6505])).
% 135.79/86.48 tff(20288,plain,
% 135.79/86.48 (v84(constB109, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6823, 20287])).
% 135.79/86.48 tff(20289,plain,
% 135.79/86.48 (~v172(constB109)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6880, 2289, 20288])).
% 135.79/86.48 tff(20290,plain,
% 135.79/86.48 (~v124(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10609, 20289, 20281, 20280, 20270, 20279, 20278])).
% 135.79/86.48 tff(20291,plain,
% 135.79/86.48 (~v121(constB109, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10617, 20290])).
% 135.79/86.48 tff(20292,plain,
% 135.79/86.48 (~v123(constB110, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10638, 20291])).
% 135.79/86.48 tff(20293,plain,
% 135.79/86.48 (~v84(constB110, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10630, 20292, 20277])).
% 135.79/86.48 tff(20294,plain,
% 135.79/86.48 (~v84(constB111, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[10577, 20293])).
% 135.79/86.48 tff(20295,plain,
% 135.79/86.48 (~v113(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8246, 20204])).
% 135.79/86.48 tff(20296,plain,
% 135.79/86.48 (~v118(constB111)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20059, 20222, 20189, 6505])).
% 135.79/86.48 tff(20297,plain,
% 135.79/86.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB117)) | (~v84(constB117, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB117)) | (~v84(constB117, bitIndex2)))),
% 135.79/86.48 inference(rewrite,[status(thm)],[])).
% 135.79/86.48 tff(20298,plain,
% 135.79/86.48 (((~v84(constB117, bitIndex2)) | (~v145(constB117))) <=> ((~v145(constB117)) | (~v84(constB117, bitIndex2)))),
% 135.79/86.48 inference(rewrite,[status(thm)],[])).
% 135.79/86.48 tff(20299,plain,
% 135.79/86.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB117)) | (~v84(constB117, bitIndex2))))),
% 135.79/86.48 inference(monotonicity,[status(thm)],[20298])).
% 135.79/86.48 tff(20300,plain,
% 135.79/86.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v145(constB117)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB117)) | (~v84(constB117, bitIndex2)))),
% 135.79/86.48 inference(transitivity,[status(thm)],[20299, 20297])).
% 135.79/86.48 tff(20301,plain,
% 135.79/86.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB117, bitIndex2)) | (~v145(constB117)))),
% 135.79/86.48 inference(quant_inst,[status(thm)],[])).
% 135.79/86.48 tff(20302,plain,
% 135.79/86.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB117)) | (~v84(constB117, bitIndex2))),
% 135.79/86.48 inference(modus_ponens,[status(thm)],[20301, 20300])).
% 135.79/86.48 tff(20303,plain,
% 135.79/86.48 (~v84(constB117, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20302, 725, 5342])).
% 135.79/86.48 tff(20304,plain,
% 135.79/86.48 (~v84(constB116, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6546, 20303])).
% 135.79/86.48 tff(20305,plain,
% 135.79/86.48 (v94(constB116)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12338, 20304])).
% 135.79/86.48 tff(20306,plain,
% 135.79/86.48 (~v123(constB116, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8006, 20304, 20305])).
% 135.79/86.48 tff(20307,plain,
% 135.79/86.48 (~v121(constB115, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8014, 20306])).
% 135.79/86.48 tff(20308,plain,
% 135.79/86.48 (~v124(constB115, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8025, 20307])).
% 135.79/86.48 tff(20309,plain,
% 135.79/86.48 (~v172(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8045, 20308])).
% 135.79/86.48 tff(20310,plain,
% 135.79/86.48 (~v84(constB117, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[5349, 816, 5342])).
% 135.79/86.48 tff(20311,plain,
% 135.79/86.48 (~v84(constB116, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11901, 20310])).
% 135.79/86.48 tff(20312,plain,
% 135.79/86.48 (~v123(constB116, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11826, 20311, 20305])).
% 135.79/86.48 tff(20313,plain,
% 135.79/86.48 (~v121(constB115, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11544, 20312])).
% 135.79/86.48 tff(20314,plain,
% 135.79/86.48 (~v124(constB115, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11832, 20313])).
% 135.79/86.48 tff(20315,plain,
% 135.79/86.48 (v84(constB117, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12227, 5342])).
% 135.79/86.48 tff(20316,plain,
% 135.79/86.48 (v84(constB116, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11981, 20315])).
% 135.79/86.48 tff(20317,plain,
% 135.79/86.48 (v123(constB116, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11934, 20305, 20316])).
% 135.79/86.48 tff(20318,plain,
% 135.79/86.48 (v121(constB115, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11940, 20317])).
% 135.79/86.48 tff(20319,plain,
% 135.79/86.48 (v124(constB115, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11946, 20318])).
% 135.79/86.48 tff(20320,plain,
% 135.79/86.48 (~v145(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11963, 2299, 1416, 795, 7988])).
% 135.79/86.48 tff(20321,plain,
% 135.79/86.48 (~v118(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11884, 3033, 1145, 823, 11662])).
% 135.79/86.48 tff(20322,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11874, 20321, 20320, 7714, 7667, 7737])).
% 135.79/86.48 tff(20323,plain,(v124(constB115, bitIndex1) | v172(constB115) | v84(constB115, bitIndex1) | v113(constB115) | (~v124(constB115, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20324,plain,
% 135.79/86.48 (v124(constB115, bitIndex1) | v172(constB115) | v84(constB115, bitIndex1) | (~v124(constB115, bitIndex0))),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20323, 12255])).
% 135.79/86.48 tff(20325,plain,
% 135.79/86.48 (v84(constB115, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20324, 20319, 20314, 20309])).
% 135.79/86.48 tff(20326,plain,
% 135.79/86.48 (v84(constB114, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12485, 20325])).
% 135.79/86.48 tff(20327,plain,
% 135.79/86.48 (~v116(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8035, 20308])).
% 135.79/86.48 tff(20328,plain,
% 135.79/86.48 (v84(constB115, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11617, 20327, 20311, 20304])).
% 135.79/86.48 tff(20329,plain,
% 135.79/86.48 (v84(constB114, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13036, 20328])).
% 135.79/86.48 tff(20330,plain,
% 135.79/86.48 (v104(constB116)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7790, 20305])).
% 135.79/86.48 tff(20331,plain,
% 135.79/86.48 (v102(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7798, 20330])).
% 135.79/86.48 tff(20332,plain,
% 135.79/86.48 (v106(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7810, 20331])).
% 135.79/86.48 tff(20333,plain,
% 135.79/86.48 (v107(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7814, 3161, 20332])).
% 135.79/86.48 tff(20334,plain,
% 135.79/86.48 (~v118(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7680, 20325])).
% 135.79/86.48 tff(20335,plain,
% 135.79/86.48 (~v145(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12215, 20319])).
% 135.79/86.48 tff(20336,plain,
% 135.79/86.48 (~v112(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7743, 2894, 12255, 20335])).
% 135.79/86.48 tff(20337,plain,
% 135.79/86.48 (~v115(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12110, 2665, 20328])).
% 135.79/86.48 tff(20338,plain,
% 135.79/86.48 (~v111(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7752, 2911, 20337, 20336])).
% 135.79/86.48 tff(20339,plain,
% 135.79/86.48 (~v110(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7727, 2932, 20327, 20338])).
% 135.79/86.48 tff(20340,plain,
% 135.79/86.48 (~v109(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7722, 20339, 20309])).
% 135.79/86.48 tff(20341,plain,
% 135.79/86.48 (~v108(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7763, 20340, 20334])).
% 135.79/86.48 tff(20342,plain,
% 135.79/86.48 (v119(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7772, 20341, 20333])).
% 135.79/86.48 tff(20343,plain,
% 135.79/86.48 (~v84(constB115, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7665, 20342])).
% 135.79/86.48 tff(20344,plain,
% 135.79/86.48 (~v84(constB114, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7654, 20343])).
% 135.79/86.48 tff(20345,plain,
% 135.79/86.48 (v107(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7628, 20344, 20329, 20326])).
% 135.79/86.48 tff(20346,plain,
% 135.79/86.48 (v94(constB112)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7416, 20345])).
% 135.79/86.48 tff(20347,plain,
% 135.79/86.48 (~v124(constB111, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20020, 7259, 8607, 6988, 8615])).
% 135.79/86.48 tff(20348,plain,
% 135.79/86.48 (~v121(constB111, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8581, 20347])).
% 135.79/86.48 tff(20349,plain,
% 135.79/86.48 (~v123(constB112, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8576, 20348])).
% 135.79/86.48 tff(20350,plain,
% 135.79/86.48 (~v84(constB112, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8571, 20349, 20346])).
% 135.79/86.48 tff(20351,plain,
% 135.79/86.48 (~v84(constB113, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12473, 20350])).
% 135.79/86.48 tff(20352,plain,
% 135.79/86.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB113, bitIndex0) | (~v118(constB113)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB113, bitIndex0) | (~v118(constB113)))),
% 135.79/86.48 inference(rewrite,[status(thm)],[])).
% 135.79/86.48 tff(20353,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB113, bitIndex0) | (~v118(constB113)))),
% 135.79/86.48 inference(quant_inst,[status(thm)],[])).
% 135.79/86.48 tff(20354,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB113, bitIndex0) | (~v118(constB113))),
% 135.79/86.48 inference(modus_ponens,[status(thm)],[20353, 20352])).
% 135.79/86.48 tff(20355,plain,
% 135.79/86.48 (~v118(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20354, 2642, 20351])).
% 135.79/86.48 tff(20356,plain,
% 135.79/86.48 (v94(constB114)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12475, 20346])).
% 135.79/86.48 tff(20357,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8323, 1344, 823, 8369, 7612, 8373])).
% 135.79/86.48 tff(20358,plain,((~v84(constB114, bitIndex1)) | (~v94(constB114)) | v123(constB114, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20359,plain,
% 135.79/86.48 (v123(constB114, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20358, 20356, 20326])).
% 135.79/86.48 tff(20360,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8328, 1362, 823, 7467, 8368, 20082])).
% 135.79/86.48 tff(20361,plain,((~v123(constB114, bitIndex1)) | v121(constB113, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20362,plain,
% 135.79/86.48 (v121(constB113, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20361, 20359])).
% 135.79/86.48 tff(20363,plain,
% 135.79/86.48 ($false),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8332, 1380, 823, 7491, 8379, 8374])).
% 135.79/86.48 tff(20364,plain,((~v121(constB113, bitIndex1)) | v124(constB113, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.48 tff(20365,plain,
% 135.79/86.48 (v124(constB113, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20364, 20362])).
% 135.79/86.48 tff(20366,plain,
% 135.79/86.48 (~v113(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13065, 2167, 2186, 823, 20365])).
% 135.79/86.48 tff(20367,plain,
% 135.79/86.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB113)) | v84(constB113, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB113)) | v84(constB113, bitIndex0))),
% 135.79/86.48 inference(rewrite,[status(thm)],[])).
% 135.79/86.48 tff(20368,plain,
% 135.79/86.48 ((v84(constB113, bitIndex0) | (~v145(constB113))) <=> ((~v145(constB113)) | v84(constB113, bitIndex0))),
% 135.79/86.48 inference(rewrite,[status(thm)],[])).
% 135.79/86.48 tff(20369,plain,
% 135.79/86.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB113, bitIndex0) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB113)) | v84(constB113, bitIndex0)))),
% 135.79/86.48 inference(monotonicity,[status(thm)],[20368])).
% 135.79/86.48 tff(20370,plain,
% 135.79/86.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB113, bitIndex0) | (~v145(constB113)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB113)) | v84(constB113, bitIndex0))),
% 135.79/86.48 inference(transitivity,[status(thm)],[20369, 20367])).
% 135.79/86.48 tff(20371,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB113, bitIndex0) | (~v145(constB113)))),
% 135.79/86.48 inference(quant_inst,[status(thm)],[])).
% 135.79/86.48 tff(20372,plain,
% 135.79/86.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB113)) | v84(constB113, bitIndex0)),
% 135.79/86.48 inference(modus_ponens,[status(thm)],[20371, 20370])).
% 135.79/86.48 tff(20373,plain,
% 135.79/86.48 (~v145(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20372, 788, 20351])).
% 135.79/86.48 tff(20374,plain,
% 135.79/86.48 (v84(constB117, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12225, 788, 5342])).
% 135.79/86.48 tff(20375,plain,
% 135.79/86.48 (v84(constB116, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11979, 805, 795, 6529, 6541, 20374])).
% 135.79/86.48 tff(20376,plain,
% 135.79/86.48 (~v84(constB116, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[6544, 777, 767, 6529, 6541, 20303])).
% 135.79/86.48 tff(20377,plain,
% 135.79/86.48 (~v84(constB116, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11899, 777, 823, 6529, 6541, 20310])).
% 135.79/86.48 tff(20378,plain,
% 135.79/86.48 (v94(constB116)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11615, 20377, 20376, 20375])).
% 135.79/86.48 tff(20379,plain,
% 135.79/86.48 (v123(constB116, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11932, 1344, 795, 20378, 20375])).
% 135.79/86.48 tff(20380,plain,
% 135.79/86.48 (v121(constB115, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11938, 1362, 795, 7777, 20379])).
% 135.79/86.48 tff(20381,plain,
% 135.79/86.48 (v124(constB115, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11944, 1380, 795, 7803, 20380])).
% 135.79/86.48 tff(20382,plain,
% 135.79/86.48 (~v145(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11963, 2299, 1416, 795, 20381])).
% 135.79/86.48 tff(20383,plain,
% 135.79/86.48 (~v113(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11970, 2386, 2186, 795, 20381])).
% 135.79/86.48 tff(20384,plain,
% 135.79/86.48 (~v112(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7743, 2894, 20383, 20382])).
% 135.79/86.48 tff(20385,plain,
% 135.79/86.48 (~v123(constB116, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11535, 1674, 823, 20378, 20377])).
% 135.79/86.48 tff(20386,plain,
% 135.79/86.48 (~v121(constB115, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11542, 1708, 823, 7777, 20385])).
% 135.79/86.48 tff(20387,plain,
% 135.79/86.48 (~v124(constB115, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11551, 1728, 823, 7803, 20386])).
% 135.79/86.48 tff(20388,plain,
% 135.79/86.48 (~v115(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11558, 3033, 1193, 823, 20387])).
% 135.79/86.48 tff(20389,plain,
% 135.79/86.48 (~v111(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7752, 2911, 20388, 20384])).
% 135.79/86.48 tff(20390,plain,
% 135.79/86.48 (~v116(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12134, 2386, 2164, 795, 20381])).
% 135.79/86.48 tff(20391,plain,
% 135.79/86.48 (v111(constB115) | (~v110(constB115))),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7727, 2932, 20390])).
% 135.79/86.48 tff(20392,plain,
% 135.79/86.48 (~v110(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20391, 20389])).
% 135.79/86.48 tff(20393,plain,
% 135.79/86.48 (~v172(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11953, 1997, 1994, 795, 20381])).
% 135.79/86.48 tff(20394,plain,
% 135.79/86.48 ((~v109(constB115)) | v110(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7720, 2871, 20393])).
% 135.79/86.48 tff(20395,plain,
% 135.79/86.48 (~v109(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20394, 20392])).
% 135.79/86.48 tff(20396,plain,
% 135.79/86.48 (~v118(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11884, 3033, 1145, 823, 20387])).
% 135.79/86.48 tff(20397,plain,
% 135.79/86.48 (v109(constB115) | (~v108(constB115))),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7761, 2856, 20396])).
% 135.79/86.48 tff(20398,plain,
% 135.79/86.48 (~v108(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20397, 20395])).
% 135.79/86.48 tff(20399,plain,
% 135.79/86.48 (v104(constB116)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7790, 20378])).
% 135.79/86.48 tff(20400,plain,
% 135.79/86.48 (v102(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7798, 20399])).
% 135.79/86.48 tff(20401,plain,
% 135.79/86.48 (v106(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7810, 20400])).
% 135.79/86.48 tff(20402,plain,
% 135.79/86.48 (v107(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7814, 3161, 20401])).
% 135.79/86.48 tff(20403,plain,
% 135.79/86.48 (v108(constB115) | v119(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7770, 3195, 20402])).
% 135.79/86.48 tff(20404,plain,
% 135.79/86.48 (v119(constB115)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[20403, 20398])).
% 135.79/86.48 tff(20405,plain,
% 135.79/86.48 (~v84(constB115, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7663, 3173, 20404])).
% 135.79/86.48 tff(20406,plain,
% 135.79/86.48 (~v84(constB114, bitIndex0)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7652, 777, 795, 7637, 7649, 20405])).
% 135.79/86.48 tff(20407,plain,
% 135.79/86.48 (v84(constB115, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[11874, 20382, 20393, 20383, 20396])).
% 135.79/86.48 tff(20408,plain,
% 135.79/86.48 (v84(constB114, bitIndex1)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[12483, 805, 823, 7637, 7649, 20407])).
% 135.79/86.48 tff(20409,plain,
% 135.79/86.48 (v84(constB115, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7839, 7833, 20404])).
% 135.79/86.48 tff(20410,plain,
% 135.79/86.48 (v84(constB114, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13034, 805, 767, 7637, 7649, 20409])).
% 135.79/86.48 tff(20411,plain,
% 135.79/86.48 (v107(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[7628, 20410, 20408, 20406])).
% 135.79/86.48 tff(20412,plain,
% 135.79/86.48 (v106(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8141, 20411])).
% 135.79/86.48 tff(20413,plain,
% 135.79/86.48 (v102(constB113)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8133, 619, 20412])).
% 135.79/86.48 tff(20414,plain,
% 135.79/86.48 (v104(constB114)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8129, 20413])).
% 135.79/86.48 tff(20415,plain,
% 135.79/86.48 (v94(constB114)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[8121, 20414])).
% 135.79/86.48 tff(20416,plain,
% 135.79/86.48 ((~v94(constB114)) | v123(constB114, bitIndex2)),
% 135.79/86.48 inference(unit_resolution,[status(thm)],[13104, 1344, 767, 20410])).
% 135.79/86.49 tff(20417,plain,
% 135.79/86.49 (v123(constB114, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20416, 20415])).
% 135.79/86.49 tff(20418,plain,
% 135.79/86.49 (v121(constB113, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13111, 1362, 767, 7467, 20417])).
% 135.79/86.49 tff(20419,plain,
% 135.79/86.49 (v124(constB113, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13119, 1380, 767, 7491, 20418])).
% 135.79/86.49 tff(20420,assumption,(~v113(constB113)), introduced(assumption)).
% 135.79/86.49 tff(20421,plain,
% 135.79/86.49 ((~v94(constB114)) | v123(constB114, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8323, 1344, 823, 20408])).
% 135.79/86.49 tff(20422,plain,
% 135.79/86.49 (v123(constB114, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20421, 20415])).
% 135.79/86.49 tff(20423,plain,
% 135.79/86.49 (v121(constB113, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8328, 1362, 823, 7467, 20422])).
% 135.79/86.49 tff(20424,plain,
% 135.79/86.49 (v124(constB113, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8332, 1380, 823, 7491, 20423])).
% 135.79/86.49 tff(20425,plain,
% 135.79/86.49 (~v116(constB113)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8339, 2167, 2164, 823, 20424])).
% 135.79/86.49 tff(20426,plain,
% 135.79/86.49 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex2)))),
% 135.79/86.49 inference(rewrite,[status(thm)],[])).
% 135.79/86.49 tff(20427,plain,
% 135.79/86.49 ((v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex2)))),
% 135.79/86.49 inference(rewrite,[status(thm)],[])).
% 135.79/86.49 tff(20428,plain,
% 135.79/86.49 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex2))))),
% 135.79/86.49 inference(monotonicity,[status(thm)],[20427])).
% 135.79/86.49 tff(20429,plain,
% 135.79/86.49 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex2)))),
% 135.79/86.49 inference(transitivity,[status(thm)],[20428, 20426])).
% 135.79/86.49 tff(20430,plain,
% 135.79/86.49 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB113) | v145(constB113) | v115(constB113) | v116(constB113) | v172(constB113) | v118(constB113) | (~less_3(bitIndex2)) | (~v124(constB113, bitIndex2)) | b001(bitIndex2))),
% 135.79/86.49 inference(quant_inst,[status(thm)],[])).
% 135.79/86.49 tff(20431,plain,
% 135.79/86.49 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB113) | v113(constB113) | v118(constB113) | v172(constB113) | v116(constB113) | v115(constB113) | (~v124(constB113, bitIndex2))),
% 135.79/86.49 inference(modus_ponens,[status(thm)],[20430, 20429])).
% 135.79/86.49 tff(20432,plain,
% 135.79/86.49 (v115(constB113)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20431, 2427, 2424, 767, 7380, 8160, 8265, 20425, 20420, 20419])).
% 135.79/86.49 tff(20433,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19840, 2030, 2257, 767, 20432, 20419])).
% 135.79/86.49 tff(20434,plain,((~v145(constB117)) | v145(constB113) | v172(constB113) | v118(constB113) | v113(constB113)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20435,plain,
% 135.79/86.49 (v172(constB113)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20434, 20373, 5342, 20366, 20355])).
% 135.79/86.49 tff(20436,plain,
% 135.79/86.49 (v84(constB113, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13042, 20435])).
% 135.79/86.49 tff(20437,plain,
% 135.79/86.49 (v84(constB112, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8543, 20436])).
% 135.79/86.49 tff(20438,plain,
% 135.79/86.49 (v123(constB112, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13138, 20437, 20346])).
% 135.79/86.49 tff(20439,plain,
% 135.79/86.49 (v121(constB111, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13143, 20438])).
% 135.79/86.49 tff(20440,plain,
% 135.79/86.49 (v124(constB111, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13016, 20439])).
% 135.79/86.49 tff(20441,plain,
% 135.79/86.49 (v84(constB111, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19820, 8615, 6988, 6923])).
% 135.79/86.49 tff(20442,plain,
% 135.79/86.49 (v145(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7268, 7259, 6923, 20441])).
% 135.79/86.49 tff(20443,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8420, 1419, 1416, 767, 20442, 20440])).
% 135.79/86.49 tff(20444,plain,(v116(constB111) | (~v145(constB117)) | v118(constB111) | v84(constB111, bitIndex1) | v113(constB111) | v84(constB111, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20445,plain,
% 135.79/86.49 (~v145(constB117)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20444, 20296, 20295, 20294, 20265, 20201])).
% 135.79/86.49 tff(20446,plain,
% 135.79/86.49 (~v119(constB115)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7665, 7657])).
% 135.79/86.49 tff(20447,plain,
% 135.79/86.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v172(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB119, bitIndex0)) | (~v172(constB119)))),
% 135.79/86.49 inference(rewrite,[status(thm)],[])).
% 135.79/86.49 tff(20448,plain,
% 135.79/86.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v172(constB119)))),
% 135.79/86.49 inference(quant_inst,[status(thm)],[])).
% 135.79/86.49 tff(20449,plain,
% 135.79/86.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB119, bitIndex0)) | (~v172(constB119))),
% 135.79/86.49 inference(modus_ponens,[status(thm)],[20448, 20447])).
% 135.79/86.49 tff(20450,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20449, 7708, 5620, 5596])).
% 135.79/86.49 tff(20451,plain,((~v172(constB119)) | (~v84(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20452,plain,
% 135.79/86.49 (~v84(constB119, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20451, 6405])).
% 135.79/86.49 tff(20453,plain,
% 135.79/86.49 (~v84(constB118, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[6175, 20452])).
% 135.79/86.49 tff(20454,plain,
% 135.79/86.49 (v84(constB117, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[6546, 12339])).
% 135.79/86.49 tff(20455,plain,
% 135.79/86.49 (v107(constB117)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[5386, 5804, 5355])).
% 135.79/86.49 tff(20456,plain,
% 135.79/86.49 (v106(constB117)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[5447, 20455])).
% 135.79/86.49 tff(20457,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[5451, 619, 5780, 20456])).
% 135.79/86.49 tff(20458,plain,(v94(constB118) | (~v84(constB117, bitIndex2)) | v84(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20459,plain,
% 135.79/86.49 (v94(constB118)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20458, 20454, 5595])).
% 135.79/86.49 tff(20460,plain,
% 135.79/86.49 (v104(constB118)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12952, 20459])).
% 135.79/86.49 tff(20461,plain,
% 135.79/86.49 (v102(constB117)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12947, 20460])).
% 135.79/86.49 tff(20462,plain,
% 135.79/86.49 (v106(constB117)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12939, 20461])).
% 135.79/86.49 tff(20463,plain,
% 135.79/86.49 (v107(constB117)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12931, 3161, 20462])).
% 135.79/86.49 tff(20464,plain,
% 135.79/86.49 (~v84(constB115, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12927, 20463, 6143, 7774, 2])).
% 135.79/86.49 tff(20465,plain,
% 135.79/86.49 (~v108(constB115)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11818, 7885])).
% 135.79/86.49 tff(20466,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12310, 20465, 20464])).
% 135.79/86.49 tff(20467,plain,(v94(constB116) | v115(constB117) | v145(constB117) | v84(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20468,plain,
% 135.79/86.49 (v94(constB116)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20467, 20453, 6143, 2])).
% 135.79/86.49 tff(20469,plain,
% 135.79/86.49 (v104(constB116)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7790, 20468])).
% 135.79/86.49 tff(20470,plain,
% 135.79/86.49 (v102(constB115)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7798, 20469])).
% 135.79/86.49 tff(20471,plain,
% 135.79/86.49 (v106(constB115)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7810, 20470])).
% 135.79/86.49 tff(20472,plain,
% 135.79/86.49 (v107(constB115)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7814, 3161, 20471])).
% 135.79/86.49 tff(20473,plain,
% 135.79/86.49 (v108(constB115)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7772, 20472, 20446])).
% 135.79/86.49 tff(20474,plain,
% 135.79/86.49 (v109(constB115)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7763, 20473, 12038])).
% 135.79/86.49 tff(20475,plain,
% 135.79/86.49 (v116(constB115)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20093, 20474, 7675, 7657])).
% 135.79/86.49 tff(20476,plain,
% 135.79/86.49 (~v84(constB115, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7695, 20475])).
% 135.79/86.49 tff(20477,plain,
% 135.79/86.49 (v124(constB115, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8035, 20475])).
% 135.79/86.49 tff(20478,plain,
% 135.79/86.49 (v121(constB115, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8025, 20477])).
% 135.79/86.49 tff(20479,plain,
% 135.79/86.49 (v123(constB116, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8014, 20478])).
% 135.79/86.49 tff(20480,plain,
% 135.79/86.49 (v84(constB116, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8006, 20479, 20468])).
% 135.79/86.49 tff(20481,plain,
% 135.79/86.49 (~v124(constB115, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12136, 20475])).
% 135.79/86.49 tff(20482,plain,
% 135.79/86.49 (~v121(constB115, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11946, 20481])).
% 135.79/86.49 tff(20483,plain,
% 135.79/86.49 (~v123(constB116, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11940, 20482])).
% 135.79/86.49 tff(20484,plain,
% 135.79/86.49 (~v84(constB116, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11934, 20483, 20468])).
% 135.79/86.49 tff(20485,plain,
% 135.79/86.49 (~v84(constB116, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12074, 20484, 20480, 7675, 20476, 20446])).
% 135.79/86.49 tff(20486,plain,
% 135.79/86.49 (v84(constB117, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[6546, 20480])).
% 135.79/86.49 tff(20487,plain,
% 135.79/86.49 (v84(constB117, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12199, 20486, 2, 6054])).
% 135.79/86.49 tff(20488,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11844, 20487, 20485])).
% 135.79/86.49 tff(20489,plain,(v84(constB119, bitIndex1) | v145(constB117) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)) | v115(constB117) | (~v84(constB120, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20490,plain,
% 135.79/86.49 (v84(constB119, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20489, 20445, 20261, 20221, 20123, 5594])).
% 135.79/86.49 tff(20491,plain,
% 135.79/86.49 (v84(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19842, 7774])).
% 135.79/86.49 tff(20492,plain,
% 135.79/86.49 (~v113(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13326, 20491])).
% 135.79/86.49 tff(20493,plain,
% 135.79/86.49 (v84(constB118, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20467, 7774, 6143, 2])).
% 135.79/86.49 tff(20494,plain,
% 135.79/86.49 (v84(constB103, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20116, 20493, 11445, 13456, 12339])).
% 135.79/86.49 tff(20495,plain,
% 135.79/86.49 (v94(constB110)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8820, 12434])).
% 135.79/86.49 tff(20496,plain,
% 135.79/86.49 (~v123(constB110, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8840, 12401, 20495])).
% 135.79/86.49 tff(20497,plain,
% 135.79/86.49 (~v121(constB109, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10494, 20496])).
% 135.79/86.49 tff(20498,plain,
% 135.79/86.49 (~v124(constB109, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10486, 20497])).
% 135.79/86.49 tff(20499,plain,
% 135.79/86.49 (~v115(constB109)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9971, 20498])).
% 135.79/86.49 tff(20500,plain,
% 135.79/86.49 (v94(constB108)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[6920, 12434])).
% 135.79/86.49 tff(20501,plain,
% 135.79/86.49 (~v145(constB109)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10360, 20498])).
% 135.79/86.49 tff(20502,plain,
% 135.79/86.49 (~v123(constB110, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12440, 1674, 767, 20495, 12434])).
% 135.79/86.49 tff(20503,plain,
% 135.79/86.49 (~v121(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12429, 1708, 767, 6752, 20502])).
% 135.79/86.49 tff(20504,plain,
% 135.79/86.49 (~v124(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12423, 1728, 767, 6903, 20503])).
% 135.79/86.49 tff(20505,plain,
% 135.79/86.49 (~v116(constB109)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12416, 20504])).
% 135.79/86.49 tff(20506,plain,
% 135.79/86.49 (v84(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12386, 20505, 20501, 20500, 20499])).
% 135.79/86.49 tff(20507,plain,
% 135.79/86.49 (~v172(constB109)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10650, 20498])).
% 135.79/86.49 tff(20508,plain,
% 135.79/86.49 (v84(constB108, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10502, 20506])).
% 135.79/86.49 tff(20509,plain,
% 135.79/86.49 (v123(constB108, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10506, 1344, 767, 20500, 20508])).
% 135.79/86.49 tff(20510,plain,
% 135.79/86.49 (v121(constB107, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10510, 1362, 767, 6567, 20509])).
% 135.79/86.49 tff(20511,plain,
% 135.79/86.49 (v124(constB107, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10517, 1380, 767, 6606, 20510])).
% 135.79/86.49 tff(20512,plain,
% 135.79/86.49 (~v124(constB107, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10564, 20511])).
% 135.79/86.49 tff(20513,plain,
% 135.79/86.49 (~v121(constB107, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10116, 20512])).
% 135.79/86.49 tff(20514,plain,
% 135.79/86.49 (~v123(constB108, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10110, 20513])).
% 135.79/86.49 tff(20515,plain,
% 135.79/86.49 (~v84(constB108, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10104, 20514, 20500])).
% 135.79/86.49 tff(20516,plain,
% 135.79/86.49 (~v84(constB109, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10098, 20515])).
% 135.79/86.49 tff(20517,plain,
% 135.79/86.49 (v123(constB104, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11241, 20516, 20500, 20507, 20506])).
% 135.79/86.49 tff(20518,plain,
% 135.79/86.49 (v121(constB103, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11422, 20517])).
% 135.79/86.49 tff(20519,plain,
% 135.79/86.49 (v124(constB103, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11429, 1380, 823, 8945, 20518])).
% 135.79/86.49 tff(20520,plain,
% 135.79/86.49 (~v113(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14745, 2167, 2186, 823, 20519])).
% 135.79/86.49 tff(20521,plain,
% 135.79/86.49 (~v116(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11484, 2167, 2164, 823, 20519])).
% 135.79/86.49 tff(20522,plain,
% 135.79/86.49 (~v118(constB107)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10525, 2030, 2027, 767, 20511])).
% 135.79/86.49 tff(20523,plain,
% 135.79/86.49 (v84(constB109, bitIndex0) | v84(constB109, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10621, 1047, 20506, 20507])).
% 135.79/86.49 tff(20524,plain,
% 135.79/86.49 (v84(constB109, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20523, 20516])).
% 135.79/86.49 tff(20525,plain,
% 135.79/86.49 (v84(constB108, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10369, 20524])).
% 135.79/86.49 tff(20526,plain,
% 135.79/86.49 (v123(constB108, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10375, 20525, 20500])).
% 135.79/86.49 tff(20527,plain,
% 135.79/86.49 (v121(constB107, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10381, 20526])).
% 135.79/86.49 tff(20528,plain,
% 135.79/86.49 (v124(constB107, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10388, 1380, 823, 6606, 20527])).
% 135.79/86.49 tff(20529,plain,
% 135.79/86.49 (~v116(constB107)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10398, 20528])).
% 135.79/86.49 tff(20530,plain,
% 135.79/86.49 (~v145(constB107)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10533, 1419, 1416, 767, 20511])).
% 135.79/86.49 tff(20531,plain,
% 135.79/86.49 (~v113(constB107)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11069, 2167, 2186, 823, 20528])).
% 135.79/86.49 tff(20532,plain,
% 135.79/86.49 (~v115(constB107)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10012, 20512])).
% 135.79/86.49 tff(20533,plain,
% 135.79/86.49 (v145(constB107) | v118(constB107) | v172(constB107) | v116(constB107) | v113(constB107)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10561, 2427, 2424, 767, 20532, 20511])).
% 135.79/86.49 tff(20534,plain,
% 135.79/86.49 (v172(constB107)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20533, 20531, 20530, 20529, 20522])).
% 135.79/86.49 tff(20535,plain,
% 135.79/86.49 (~v84(constB107, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11075, 7708, 20534])).
% 135.79/86.49 tff(20536,plain,
% 135.79/86.49 (~v84(constB106, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9537, 20535])).
% 135.79/86.49 tff(20537,plain,
% 135.79/86.49 (~v84(constB107, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9914, 2289, 20534])).
% 135.79/86.49 tff(20538,plain,
% 135.79/86.49 (~v84(constB106, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9902, 20537])).
% 135.79/86.49 tff(20539,plain,
% 135.79/86.49 (v94(constB106)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9717, 20538])).
% 135.79/86.49 tff(20540,plain,
% 135.79/86.49 (~v123(constB106, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9767, 1674, 795, 20539, 20536])).
% 135.79/86.49 tff(20541,plain,
% 135.79/86.49 (~v121(constB105, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9775, 20540])).
% 135.79/86.49 tff(20542,plain,
% 135.79/86.49 (~v124(constB105, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9790, 20541])).
% 135.79/86.49 tff(20543,plain,
% 135.79/86.49 (~v172(constB105)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11227, 20539, 20512])).
% 135.79/86.49 tff(20544,plain,
% 135.79/86.49 (v94(constB104)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11131, 20536])).
% 135.79/86.49 tff(20545,plain,
% 135.79/86.49 (~v113(constB105)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9260, 20544])).
% 135.79/86.49 tff(20546,plain,
% 135.79/86.49 (v84(constB107, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11396, 20534])).
% 135.79/86.49 tff(20547,plain,
% 135.79/86.49 (v84(constB106, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9547, 20546])).
% 135.79/86.49 tff(20548,plain,
% 135.79/86.49 (v123(constB106, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9806, 20539, 20547])).
% 135.79/86.49 tff(20549,plain,
% 135.79/86.49 (v121(constB105, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9814, 20548])).
% 135.79/86.49 tff(20550,plain,
% 135.79/86.49 (v124(constB105, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9821, 1380, 767, 9782, 20549])).
% 135.79/86.49 tff(20551,plain,
% 135.79/86.49 (~v145(constB105)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9832, 20550])).
% 135.79/86.49 tff(20552,plain,
% 135.79/86.49 (v116(constB105)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9850, 20551, 20545, 20543, 20542])).
% 135.79/86.49 tff(20553,plain,
% 135.79/86.49 (v84(constB105, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12708, 10948, 20552])).
% 135.79/86.49 tff(20554,plain,
% 135.79/86.49 (v84(constB104, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9602, 805, 795, 8911, 8923, 20553])).
% 135.79/86.49 tff(20555,plain,
% 135.79/86.49 (v123(constB104, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9606, 1344, 795, 20544, 20554])).
% 135.79/86.49 tff(20556,plain,
% 135.79/86.49 (v121(constB103, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9610, 1362, 795, 8973, 20555])).
% 135.79/86.49 tff(20557,plain,
% 135.79/86.49 (v124(constB103, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9617, 1380, 795, 8945, 20556])).
% 135.79/86.49 tff(20558,plain,
% 135.79/86.49 (~v145(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10840, 2299, 1416, 795, 20557])).
% 135.79/86.49 tff(20559,plain,
% 135.79/86.49 (v116(constB103) | v115(constB103) | v145(constB103) | v113(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11438, 2601, 2424, 823, 9324, 9315, 20519])).
% 135.79/86.49 tff(20560,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20559, 12628, 20558, 20521, 20520])).
% 135.79/86.49 tff(20561,plain,((~v145(constB111)) | v172(constB103) | v118(constB103) | (~v84(constB103, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20562,plain,
% 135.79/86.49 (v118(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20561, 20494, 8586, 9324])).
% 135.79/86.49 tff(20563,plain,
% 135.79/86.49 (~v84(constB103, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14361, 20562])).
% 135.79/86.49 tff(20564,plain,
% 135.79/86.49 (~v84(constB102, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14349, 20563])).
% 135.79/86.49 tff(20565,plain,
% 135.79/86.49 (~v172(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13781, 20564])).
% 135.79/86.49 tff(20566,plain,
% 135.79/86.49 (~v118(constB97)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[18947, 15211])).
% 135.79/86.49 tff(20567,plain,
% 135.79/86.49 (v84(constB100, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19197, 20491])).
% 135.79/86.49 tff(20568,plain,
% 135.79/86.49 (v123(constB100, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19846, 20567, 14434])).
% 135.79/86.49 tff(20569,plain,
% 135.79/86.49 (v121(constB99, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19849, 20568])).
% 135.79/86.49 tff(20570,plain,
% 135.79/86.49 (v124(constB99, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19852, 20569])).
% 135.79/86.49 tff(20571,plain,
% 135.79/86.49 (~v118(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19172, 2030, 2027, 767, 20570])).
% 135.79/86.49 tff(20572,plain,
% 135.79/86.49 (v104(constB100)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14856, 14434])).
% 135.79/86.49 tff(20573,plain,
% 135.79/86.49 (v102(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14864, 20572])).
% 135.79/86.49 tff(20574,plain,
% 135.79/86.49 (v106(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14872, 20573])).
% 135.79/86.49 tff(20575,plain,
% 135.79/86.49 (v107(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14876, 3161, 20574])).
% 135.79/86.49 tff(20576,plain,
% 135.79/86.49 (v94(constB98)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[17507, 20575])).
% 135.79/86.49 tff(20577,plain,
% 135.79/86.49 (v84(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19115, 13151, 15286, 15225, 14434, 20576, 14968])).
% 135.79/86.49 tff(20578,plain,
% 135.79/86.49 (~v113(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13326, 20577])).
% 135.79/86.49 tff(20579,plain,
% 135.79/86.49 (v84(constB100, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19197, 20577])).
% 135.79/86.49 tff(20580,plain,
% 135.79/86.49 (v172(constB100)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19190, 20579, 13151])).
% 135.79/86.49 tff(20581,plain,
% 135.79/86.49 (~v84(constB100, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19219, 7708, 20580])).
% 135.79/86.49 tff(20582,plain,
% 135.79/86.49 (~v84(constB101, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19215, 20581])).
% 135.79/86.49 tff(20583,plain,
% 135.79/86.49 (v172(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19212, 20582, 18971, 20578])).
% 135.79/86.49 tff(20584,plain,
% 135.79/86.49 (v84(constB102, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13781, 20583])).
% 135.79/86.49 tff(20585,plain,
% 135.79/86.49 (v84(constB103, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14349, 20584])).
% 135.79/86.49 tff(20586,plain,
% 135.79/86.49 (~v118(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14361, 20585])).
% 135.79/86.49 tff(20587,plain,
% 135.79/86.49 (~v145(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19221, 13151])).
% 135.79/86.49 tff(20588,plain,
% 135.79/86.49 (~v172(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14394, 20585])).
% 135.79/86.49 tff(20589,plain,
% 135.79/86.49 (~v116(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11484, 2167, 2164, 823, 10796])).
% 135.79/86.49 tff(20590,plain,
% 135.79/86.49 (~v113(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14745, 2167, 2186, 823, 10796])).
% 135.79/86.49 tff(20591,plain,
% 135.79/86.49 (~v84(constB100, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13487, 13484])).
% 135.79/86.49 tff(20592,plain,
% 135.79/86.49 (v94(constB100)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13482, 20591])).
% 135.79/86.49 tff(20593,plain,
% 135.79/86.49 (v84(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14168, 13892, 20592, 14162])).
% 135.79/86.49 tff(20594,plain,
% 135.79/86.49 (~v113(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13326, 20593])).
% 135.79/86.49 tff(20595,plain,
% 135.79/86.49 (v172(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19212, 20594, 13484, 13384])).
% 135.79/86.49 tff(20596,plain,
% 135.79/86.49 (v84(constB102, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13781, 20595])).
% 135.79/86.49 tff(20597,plain,
% 135.79/86.49 (v84(constB103, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14349, 20596])).
% 135.79/86.49 tff(20598,plain,
% 135.79/86.49 (~v118(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14361, 20597])).
% 135.79/86.49 tff(20599,plain,
% 135.79/86.49 (v115(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11489, 20598, 10796, 20590, 9324, 20589, 11445])).
% 135.79/86.49 tff(20600,plain,
% 135.79/86.49 (~v84(constB103, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12627, 2665, 20599])).
% 135.79/86.49 tff(20601,plain,
% 135.79/86.49 (~v84(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14267, 20600])).
% 135.79/86.49 tff(20602,plain,
% 135.79/86.49 (v94(constB102)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13986, 20601, 20593])).
% 135.79/86.49 tff(20603,plain,
% 135.79/86.49 (~v123(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14044, 1674, 767, 20602, 20601])).
% 135.79/86.49 tff(20604,plain,
% 135.79/86.49 (~v121(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14053, 20603])).
% 135.79/86.49 tff(20605,plain,
% 135.79/86.49 (v124(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14070, 20595])).
% 135.79/86.49 tff(20606,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14060, 1728, 767, 13653, 20605, 20604])).
% 135.79/86.49 tff(20607,plain,(v84(constB101, bitIndex0) | (~v124(constB103, bitIndex1)) | v172(constB103) | v145(constB103) | v84(constB101, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20608,plain,
% 135.79/86.49 (~v124(constB103, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20607, 20588, 18971, 20587, 20582])).
% 135.79/86.49 tff(20609,plain,
% 135.79/86.49 (v84(constB103, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14349, 13823])).
% 135.79/86.49 tff(20610,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9185, 1910, 11082, 9312, 14355, 10753])).
% 135.79/86.49 tff(20611,plain,(v94(constB104) | (~v84(constB103, bitIndex1)) | v84(constB103, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20612,plain,
% 135.79/86.49 (v84(constB103, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20611, 9262, 20609])).
% 135.79/86.49 tff(20613,plain,
% 135.79/86.49 (v84(constB102, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14768, 20612])).
% 135.79/86.49 tff(20614,plain,
% 135.79/86.49 (v84(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14470, 9312])).
% 135.79/86.49 tff(20615,plain,
% 135.79/86.49 (~v94(constB102)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14811, 20613, 13823, 20614])).
% 135.79/86.49 tff(20616,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14222, 805, 795, 13597, 20615, 13384, 20613])).
% 135.79/86.49 tff(20617,plain,(v94(constB104) | v84(constB101, bitIndex0) | (~v84(constB102, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20618,plain,
% 135.79/86.49 (v94(constB104)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20617, 20584, 20582])).
% 135.79/86.49 tff(20619,plain,
% 135.79/86.49 (v124(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14070, 20583])).
% 135.79/86.49 tff(20620,plain,
% 135.79/86.49 (v121(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19232, 20619])).
% 135.79/86.49 tff(20621,plain,
% 135.79/86.49 (v123(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14053, 20620])).
% 135.79/86.49 tff(20622,plain,
% 135.79/86.49 (v84(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19239, 20621])).
% 135.79/86.49 tff(20623,plain,
% 135.79/86.49 (v84(constB103, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14267, 20622])).
% 135.79/86.49 tff(20624,plain,
% 135.79/86.49 (v145(constB105)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12675, 20623, 20618, 20608, 20586])).
% 135.79/86.49 tff(20625,plain,
% 135.79/86.49 (v119(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11522, 9824, 6505])).
% 135.79/86.49 tff(20626,plain,
% 135.79/86.49 (~v84(constB103, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10769, 20625])).
% 135.79/86.49 tff(20627,plain,
% 135.79/86.49 (~v145(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10758, 20626])).
% 135.79/86.49 tff(20628,plain,
% 135.79/86.49 (~v84(constB102, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14353, 20626])).
% 135.79/86.49 tff(20629,plain,
% 135.79/86.49 (v84(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14511, 20625])).
% 135.79/86.49 tff(20630,plain,
% 135.79/86.49 (v84(constB103, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14689, 20626, 6987])).
% 135.79/86.49 tff(20631,plain,
% 135.79/86.49 (v84(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14470, 20630])).
% 135.79/86.49 tff(20632,plain,
% 135.79/86.49 (v94(constB102)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13788, 13321, 13677, 13691])).
% 135.79/86.49 tff(20633,plain,
% 135.79/86.49 (v123(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14298, 20632])).
% 135.79/86.49 tff(20634,plain,
% 135.79/86.49 (v121(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14302, 1362, 767, 13597, 20633])).
% 135.79/86.49 tff(20635,plain,
% 135.79/86.49 (v124(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14309, 1380, 767, 13653, 20634])).
% 135.79/86.49 tff(20636,plain,
% 135.79/86.49 (~v113(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13324, 1119, 13321])).
% 135.79/86.49 tff(20637,plain,
% 135.79/86.49 (~v115(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13398, 2665, 13321])).
% 135.79/86.49 tff(20638,plain,
% 135.79/86.49 (~v116(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13402, 1130, 13321])).
% 135.79/86.49 tff(20639,plain,
% 135.79/86.49 (~v145(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13419, 725, 13321])).
% 135.79/86.49 tff(20640,plain,
% 135.79/86.49 (v118(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14338, 2427, 2424, 767, 20639, 13782, 20638, 20637, 20636, 20635])).
% 135.79/86.49 tff(20641,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14323, 2030, 2027, 767, 20640, 20635])).
% 135.79/86.49 tff(20642,plain,((~v84(constB101, bitIndex2)) | (~v84(constB102, bitIndex2)) | v84(constB102, bitIndex0) | v84(constB102, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20643,plain,
% 135.79/86.49 (v84(constB102, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20642, 20631, 20629, 20628])).
% 135.79/86.49 tff(20644,plain,
% 135.79/86.49 (v84(constB103, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14349, 20643])).
% 135.79/86.49 tff(20645,plain,
% 135.79/86.49 (~v118(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14361, 20644])).
% 135.79/86.49 tff(20646,plain,
% 135.79/86.49 (~v172(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14394, 20644])).
% 135.79/86.49 tff(20647,plain,
% 135.79/86.49 (~v84(constB110, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12398, 6723, 6987])).
% 135.79/86.49 tff(20648,plain,
% 135.79/86.49 (~v123(constB110, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12489, 20647, 8830])).
% 135.79/86.49 tff(20649,plain,
% 135.79/86.49 (~v121(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12431, 20648])).
% 135.79/86.49 tff(20650,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12425, 20649, 20168])).
% 135.79/86.49 tff(20651,plain,(v84(constB109, bitIndex2) | v84(constB105, bitIndex2) | (~v94(constB108)) | (~v84(constB110, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20652,plain,
% 135.79/86.49 (v84(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20651, 10773, 6505, 6987])).
% 135.79/86.49 tff(20653,plain,
% 135.79/86.49 (v84(constB108, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10502, 20652])).
% 135.79/86.49 tff(20654,plain,
% 135.79/86.49 (v124(constB107, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11023, 20653, 6505])).
% 135.79/86.49 tff(20655,plain,
% 135.79/86.49 (~v124(constB107, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10564, 20654])).
% 135.79/86.49 tff(20656,plain,
% 135.79/86.49 (~v121(constB107, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10116, 20655])).
% 135.79/86.49 tff(20657,plain,
% 135.79/86.49 (~v123(constB108, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10110, 20656])).
% 135.79/86.49 tff(20658,plain,
% 135.79/86.49 (~v84(constB108, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10104, 20657, 6505])).
% 135.79/86.49 tff(20659,plain,
% 135.79/86.49 (~v84(constB109, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10098, 20658])).
% 135.79/86.49 tff(20660,plain,
% 135.79/86.49 (~v145(constB109)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[11040, 20659])).
% 135.79/86.49 tff(20661,plain,
% 135.79/86.49 (v113(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14686, 11372, 6505, 6987, 20653, 20627, 20645, 20646, 11371, 10777, 20660])).
% 135.79/86.49 tff(20662,plain,
% 135.79/86.49 (v124(constB103, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[9003, 20661])).
% 135.79/86.49 tff(20663,plain,
% 135.79/86.49 (~v115(constB103)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10890, 20662])).
% 135.79/86.49 tff(20664,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12665, 20663, 20662, 20630, 20646, 20645, 20627])).
% 135.79/86.49 tff(20665,plain,((~v145(constB105)) | (~v94(constB108)) | (~v84(constB110, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20666,plain,
% 135.79/86.49 (~v84(constB110, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20665, 20624, 6505])).
% 135.79/86.49 tff(20667,plain,
% 135.79/86.49 (~v145(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20561, 20623, 20586, 20588])).
% 135.79/86.49 tff(20668,plain,
% 135.79/86.49 (v84(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8829, 6749])).
% 135.79/86.49 tff(20669,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20237, 20668, 6749, 6973])).
% 135.79/86.49 tff(20670,plain,(v94(constB110) | v84(constB110, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20671,plain,
% 135.79/86.49 (v94(constB110)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20670, 20666])).
% 135.79/86.49 tff(20672,plain,
% 135.79/86.49 (~v84(constB111, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19752, 20666])).
% 135.79/86.49 tff(20673,plain,
% 135.79/86.49 (v84(constB110, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19749, 20672, 6505, 20671, 20667])).
% 135.79/86.49 tff(20674,plain,
% 135.79/86.49 (v94(constB114)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12475, 8568])).
% 135.79/86.49 tff(20675,plain,
% 135.79/86.49 (v104(constB114)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7525, 20674])).
% 135.79/86.49 tff(20676,plain,
% 135.79/86.49 (v102(constB113)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7533, 20675])).
% 135.79/86.49 tff(20677,plain,
% 135.79/86.49 (v106(constB113)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7541, 20676])).
% 135.79/86.49 tff(20678,plain,
% 135.79/86.49 (v107(constB113)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7545, 3161, 20677])).
% 135.79/86.49 tff(20679,plain,
% 135.79/86.49 (v145(constB105)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10496, 19683, 6723])).
% 135.79/86.49 tff(20680,plain,
% 135.79/86.49 (~v84(constB105, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[10772, 20679])).
% 135.79/86.49 tff(20681,plain,
% 135.79/86.49 (v116(constB109)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20166, 20680, 6723, 6505])).
% 135.79/86.49 tff(20682,plain,
% 135.79/86.49 (v124(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12416, 20681])).
% 135.79/86.49 tff(20683,plain,
% 135.79/86.49 (v121(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12425, 20682])).
% 135.79/86.49 tff(20684,plain,
% 135.79/86.49 (v123(constB110, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12431, 20683])).
% 135.79/86.49 tff(20685,plain,
% 135.79/86.49 (v84(constB110, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12489, 20684, 8830])).
% 135.79/86.49 tff(20686,plain,
% 135.79/86.49 (v84(constB111, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[6946, 20685])).
% 135.79/86.49 tff(20687,plain,
% 135.79/86.49 (~v116(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7068, 1130, 20686])).
% 135.79/86.49 tff(20688,plain,
% 135.79/86.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB111, bitIndex2)) | (~v115(constB111)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB111, bitIndex2)) | (~v115(constB111)))),
% 135.79/86.49 inference(rewrite,[status(thm)],[])).
% 135.79/86.49 tff(20689,plain,
% 135.79/86.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB111, bitIndex2)) | (~v115(constB111)))),
% 135.79/86.49 inference(quant_inst,[status(thm)],[])).
% 135.79/86.49 tff(20690,plain,
% 135.79/86.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB111, bitIndex2)) | (~v115(constB111))),
% 135.79/86.49 inference(modus_ponens,[status(thm)],[20689, 20688])).
% 135.79/86.49 tff(20691,plain,
% 135.79/86.49 (~v115(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20690, 2665, 20686])).
% 135.79/86.49 tff(20692,plain,
% 135.79/86.49 (~v113(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[6958, 1119, 20686])).
% 135.79/86.49 tff(20693,plain,
% 135.79/86.49 (~v84(constB113, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7362, 2289, 12556])).
% 135.79/86.49 tff(20694,plain,
% 135.79/86.49 (~v84(constB112, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7313, 20693])).
% 135.79/86.49 tff(20695,plain,
% 135.79/86.49 (~v123(constB112, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7434, 1674, 823, 8568, 20694])).
% 135.79/86.49 tff(20696,plain,
% 135.79/86.49 (~v121(constB111, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7438, 1708, 823, 7094, 20695])).
% 135.79/86.49 tff(20697,plain,
% 135.79/86.49 (~v124(constB111, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7445, 1728, 823, 7083, 20696])).
% 135.79/86.49 tff(20698,plain,
% 135.79/86.49 (v84(constB113, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13042, 12556])).
% 135.79/86.49 tff(20699,plain,
% 135.79/86.49 (v84(constB112, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8543, 20698])).
% 135.79/86.49 tff(20700,plain,
% 135.79/86.49 (v123(constB112, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8394, 1344, 767, 8568, 20699])).
% 135.79/86.49 tff(20701,plain,
% 135.79/86.49 (v121(constB111, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8398, 1362, 767, 7094, 20700])).
% 135.79/86.49 tff(20702,plain,
% 135.79/86.49 (v124(constB111, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8405, 1380, 767, 7083, 20701])).
% 135.79/86.49 tff(20703,plain,
% 135.79/86.49 (~v118(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8427, 2030, 2027, 767, 20702])).
% 135.79/86.49 tff(20704,plain,
% 135.79/86.49 (v172(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8618, 20703, 7250, 6988, 7259, 8615])).
% 135.79/86.49 tff(20705,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7457, 1801, 1798, 823, 20704, 20697])).
% 135.79/86.49 tff(20706,plain,((~v172(constB113)) | v145(constB111) | v84(constB111, bitIndex1) | v116(constB111) | v113(constB111)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20707,plain,
% 135.79/86.49 (~v172(constB113)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20706, 8615, 6988, 7259, 12443])).
% 135.79/86.49 tff(20708,plain,
% 135.79/86.49 (~v123(constB112, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8203, 1674, 767, 12529, 12528])).
% 135.79/86.49 tff(20709,plain,
% 135.79/86.49 (~v121(constB111, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8207, 1708, 767, 7094, 20708])).
% 135.79/86.49 tff(20710,plain,
% 135.79/86.49 (~v124(constB111, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8214, 1728, 767, 7083, 20709])).
% 135.79/86.49 tff(20711,plain,
% 135.79/86.49 (~v116(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8235, 1772, 1769, 767, 20710])).
% 135.79/86.49 tff(20712,plain,
% 135.79/86.49 (~v113(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8246, 20710])).
% 135.79/86.49 tff(20713,plain,
% 135.79/86.49 (~v115(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12548, 8529, 7319])).
% 135.79/86.49 tff(20714,plain,
% 135.79/86.49 (v84(constB113, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13095, 12443, 13059, 8160, 20713, 12529, 8529, 20712, 20711])).
% 135.79/86.49 tff(20715,plain,
% 135.79/86.49 (~v84(constB113, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8530, 20714])).
% 135.79/86.49 tff(20716,plain,
% 135.79/86.49 (~v84(constB112, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7313, 20715])).
% 135.79/86.49 tff(20717,plain,
% 135.79/86.49 (~v123(constB112, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7434, 1674, 823, 12529, 20716])).
% 135.79/86.49 tff(20718,plain,
% 135.79/86.49 (~v121(constB111, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7438, 1708, 823, 7094, 20717])).
% 135.79/86.49 tff(20719,plain,
% 135.79/86.49 (~v124(constB111, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[7445, 1728, 823, 7083, 20718])).
% 135.79/86.49 tff(20720,plain,
% 135.79/86.49 (~v172(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8221, 2066, 1798, 767, 20710])).
% 135.79/86.49 tff(20721,plain,
% 135.79/86.49 (v84(constB110, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12553, 6723, 8529, 7237, 6505, 8160])).
% 135.79/86.49 tff(20722,plain,
% 135.79/86.49 (~v84(constB110, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12395, 6723, 6505, 20721])).
% 135.79/86.49 tff(20723,plain,
% 135.79/86.49 (~v84(constB111, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19752, 20722])).
% 135.79/86.49 tff(20724,plain,
% 135.79/86.49 (v118(constB111)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8618, 20723, 20712, 20720, 20711, 12443])).
% 135.79/86.49 tff(20725,plain,
% 135.79/86.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB111)) | v124(constB111, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB111)) | v124(constB111, bitIndex1))),
% 135.79/86.49 inference(rewrite,[status(thm)],[])).
% 135.79/86.49 tff(20726,plain,
% 135.79/86.49 (((~v118(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB111)) | v124(constB111, bitIndex1))),
% 135.79/86.49 inference(rewrite,[status(thm)],[])).
% 135.79/86.49 tff(20727,plain,
% 135.79/86.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB111)) | v124(constB111, bitIndex1)))),
% 135.79/86.49 inference(monotonicity,[status(thm)],[20726])).
% 135.79/86.49 tff(20728,plain,
% 135.79/86.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB111)) | v124(constB111, bitIndex1))),
% 135.79/86.49 inference(transitivity,[status(thm)],[20727, 20725])).
% 135.79/86.49 tff(20729,plain,
% 135.79/86.49 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB111)) | (~less_3(bitIndex1)) | v124(constB111, bitIndex1) | (~b011(bitIndex1)))),
% 135.79/86.49 inference(quant_inst,[status(thm)],[])).
% 135.79/86.49 tff(20730,plain,
% 135.79/86.49 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB111)) | v124(constB111, bitIndex1)),
% 135.79/86.49 inference(modus_ponens,[status(thm)],[20729, 20728])).
% 135.79/86.49 tff(20731,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20730, 3033, 1145, 823, 20724, 20719])).
% 135.79/86.49 tff(20732,plain,(v84(constB109, bitIndex2) | v84(constB113, bitIndex2) | v116(constB113) | (~v124(constB113, bitIndex1)) | v172(constB113) | (~v94(constB108)) | (~v107(constB113))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20733,plain,
% 135.79/86.49 (v84(constB113, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20732, 13059, 8529, 6505, 6723, 7237, 20707])).
% 135.79/86.49 tff(20734,plain,
% 135.79/86.49 (v84(constB112, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8543, 20733])).
% 135.79/86.49 tff(20735,plain,
% 135.79/86.49 (v84(constB113, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13095, 13059, 8529, 12988, 12443, 8615, 13010, 20707, 7259])).
% 135.79/86.49 tff(20736,plain,
% 135.79/86.49 (v84(constB112, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[12473, 20735])).
% 135.79/86.49 tff(20737,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[8620, 20736, 20734, 6988])).
% 135.79/86.49 tff(20738,plain,((~v124(constB113, bitIndex1)) | v84(constB111, bitIndex1) | v116(constB113) | v113(constB111) | v115(constB111) | v116(constB111) | (~v94(constB108)) | v84(constB109, bitIndex2) | (~v107(constB113))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20739,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20738, 20692, 20691, 8529, 13059, 6988, 20687, 6505, 6723, 7237])).
% 135.79/86.49 tff(20740,plain,(v84(constB111, bitIndex1) | v116(constB113) | (~v124(constB113, bitIndex1)) | (~v94(constB108)) | v84(constB109, bitIndex2) | (~v107(constB113))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20741,plain,
% 135.79/86.49 (~v124(constB113, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20740, 8342, 6723, 6505, 6988, 20678])).
% 135.79/86.49 tff(20742,plain,
% 135.79/86.49 (v123(constB114, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20358, 7612, 20674])).
% 135.79/86.49 tff(20743,plain,
% 135.79/86.49 (v121(constB113, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20361, 20742])).
% 135.79/86.49 tff(20744,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20364, 20743, 20741])).
% 135.79/86.49 tff(20745,plain,((~v84(constB114, bitIndex1)) | v84(constB109, bitIndex2) | (~v94(constB108)) | v84(constB111, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20746,plain,
% 135.79/86.49 (v84(constB109, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20745, 20672, 6505, 7612])).
% 135.79/86.49 tff(20747,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20245, 20746, 20673, 20666])).
% 135.79/86.49 tff(20748,plain,(v84(constB100, bitIndex1) | (~v94(constB108)) | (~v84(constB114, bitIndex1)) | v172(constB97) | v118(constB97) | v145(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20749,plain,
% 135.79/86.49 (v84(constB100, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20748, 18952, 6505, 7612, 15225, 14852])).
% 135.79/86.49 tff(20750,plain,
% 135.79/86.49 (v123(constB100, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19311, 20749, 14434])).
% 135.79/86.49 tff(20751,plain,
% 135.79/86.49 (v121(constB99, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19319, 20750])).
% 135.79/86.49 tff(20752,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19326, 1380, 823, 13883, 14079, 14096])).
% 135.79/86.49 tff(20753,plain,((~v121(constB99, bitIndex1)) | v124(constB99, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20754,plain,
% 135.79/86.49 (v124(constB99, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20753, 20751])).
% 135.79/86.49 tff(20755,plain,
% 135.79/86.49 (~v116(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19337, 20754])).
% 135.79/86.49 tff(20756,plain,
% 135.79/86.49 (~v115(constB97)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19376, 20755, 20576, 13456])).
% 135.79/86.49 tff(20757,plain,
% 135.79/86.49 (v84(constB99, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19411, 20756, 15225, 14852, 13456])).
% 135.79/86.49 tff(20758,plain,
% 135.79/86.49 (v84(constB101, bitIndex1)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13487, 20749])).
% 135.79/86.49 tff(20759,plain,
% 135.79/86.49 (v84(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19470, 12662, 14842])).
% 135.79/86.49 tff(20760,plain,
% 135.79/86.49 (v84(constB100, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19197, 20759])).
% 135.79/86.49 tff(20761,plain,
% 135.79/86.49 (v94(constB100)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13452, 13162])).
% 135.79/86.49 tff(20762,plain,
% 135.79/86.49 (v123(constB100, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19125, 20761])).
% 135.79/86.49 tff(20763,plain,
% 135.79/86.49 (v121(constB99, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19129, 1362, 767, 13154, 20762])).
% 135.79/86.49 tff(20764,plain,
% 135.79/86.49 (v124(constB99, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19136, 1380, 767, 13883, 20763])).
% 135.79/86.49 tff(20765,plain,
% 135.79/86.49 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB99, bitIndex0) | (~v145(constB99)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB99, bitIndex0) | (~v145(constB99)))),
% 135.79/86.49 inference(rewrite,[status(thm)],[])).
% 135.79/86.49 tff(20766,plain,
% 135.79/86.49 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB99, bitIndex0) | (~v145(constB99)))),
% 135.79/86.49 inference(quant_inst,[status(thm)],[])).
% 135.79/86.49 tff(20767,plain,
% 135.79/86.49 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB99, bitIndex0) | (~v145(constB99))),
% 135.79/86.49 inference(modus_ponens,[status(thm)],[20766, 20765])).
% 135.79/86.49 tff(20768,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20767, 788, 14078, 13162])).
% 135.79/86.49 tff(20769,plain,((~v145(constB99)) | v84(constB99, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20770,plain,
% 135.79/86.49 (~v145(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20769, 13162])).
% 135.79/86.49 tff(20771,plain,
% 135.79/86.49 (v84(constB99, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19411, 20770, 14968, 14930, 15225])).
% 135.79/86.49 tff(20772,plain,
% 135.79/86.49 (~v115(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[18634, 2665, 20771])).
% 135.79/86.49 tff(20773,plain,
% 135.79/86.49 (~v113(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[18630, 1119, 20771])).
% 135.79/86.49 tff(20774,plain,
% 135.79/86.49 (~v116(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[15148, 1130, 20771])).
% 135.79/86.49 tff(20775,plain,
% 135.79/86.49 ((~v94(constB100)) | v123(constB100, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14123, 1344, 795, 13385])).
% 135.79/86.49 tff(20776,plain,
% 135.79/86.49 (v123(constB100, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20775, 20761])).
% 135.79/86.49 tff(20777,plain,
% 135.79/86.49 (v121(constB99, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14127, 1362, 795, 13154, 20776])).
% 135.79/86.49 tff(20778,plain,
% 135.79/86.49 (v124(constB99, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14134, 1380, 795, 13883, 20777])).
% 135.79/86.49 tff(20779,plain,
% 135.79/86.49 (~v172(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19179, 1997, 1994, 795, 20778])).
% 135.79/86.49 tff(20780,plain,
% 135.79/86.49 (v118(constB99)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19187, 2427, 2424, 767, 20770, 20779, 20774, 20764, 20773, 20772])).
% 135.79/86.49 tff(20781,plain,
% 135.79/86.49 ($false),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19172, 2030, 2027, 767, 20780, 20764])).
% 135.79/86.49 tff(20782,plain,(v84(constB99, bitIndex0) | (~v84(constB100, bitIndex2)) | (~v84(constB100, bitIndex0)) | v145(constB97) | v115(constB97) | v118(constB97)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.49 tff(20783,plain,
% 135.79/86.49 (~v84(constB100, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20782, 20760, 14930, 13162, 15225, 14852])).
% 135.79/86.49 tff(20784,plain,
% 135.79/86.49 (~v84(constB101, bitIndex0)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[19215, 20783])).
% 135.79/86.49 tff(20785,plain,
% 135.79/86.49 (v119(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13846, 1910, 20759, 20784, 13790])).
% 135.79/86.49 tff(20786,plain,
% 135.79/86.49 (v107(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13850, 1927, 20785])).
% 135.79/86.49 tff(20787,plain,
% 135.79/86.49 (v106(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13721, 20786])).
% 135.79/86.49 tff(20788,plain,
% 135.79/86.49 (v102(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13725, 619, 20787])).
% 135.79/86.49 tff(20789,plain,
% 135.79/86.49 (v104(constB102)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13733, 20788])).
% 135.79/86.49 tff(20790,plain,
% 135.79/86.49 (v94(constB102)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13753, 20789])).
% 135.79/86.49 tff(20791,plain,
% 135.79/86.49 ((~v94(constB102)) | v123(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14297, 1344, 767, 19291])).
% 135.79/86.49 tff(20792,plain,
% 135.79/86.49 (v123(constB102, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[20791, 20790])).
% 135.79/86.49 tff(20793,plain,
% 135.79/86.49 (v121(constB101, bitIndex2)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[14476, 20792])).
% 135.79/86.49 tff(20794,plain,
% 135.79/86.49 (~v116(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13402, 1130, 20759])).
% 135.79/86.49 tff(20795,plain,
% 135.79/86.49 (~v118(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13491, 2842, 13790])).
% 135.79/86.49 tff(20796,plain,
% 135.79/86.49 (~v113(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13326, 20759])).
% 135.79/86.49 tff(20797,plain,
% 135.79/86.49 (~v115(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13398, 2665, 20759])).
% 135.79/86.49 tff(20798,plain,
% 135.79/86.49 (~v145(constB101)),
% 135.79/86.49 inference(unit_resolution,[status(thm)],[13419, 725, 20759])).
% 135.79/86.49 tff(20799,plain,
% 135.79/86.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v172(constB101)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB101, bitIndex1)) | (~v172(constB101)))),
% 135.79/86.50 inference(rewrite,[status(thm)],[])).
% 135.79/86.50 tff(20800,plain,
% 135.79/86.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB101, bitIndex1)) | (~v172(constB101)))),
% 135.79/86.50 inference(quant_inst,[status(thm)],[])).
% 135.79/86.50 tff(20801,plain,
% 135.79/86.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB101, bitIndex1)) | (~v172(constB101))),
% 135.79/86.50 inference(modus_ponens,[status(thm)],[20800, 20799])).
% 135.79/86.50 tff(20802,plain,
% 135.79/86.50 (~v172(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20801, 2289, 13790])).
% 135.79/86.50 tff(20803,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14338, 2427, 2424, 767, 14505, 13472, 13412, 13505, 14496, 14480, 13519])).
% 135.79/86.50 tff(20804,plain,((~v124(constB101, bitIndex2)) | v145(constB101) | v172(constB101) | v115(constB101) | v113(constB101) | v118(constB101) | v116(constB101)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20805,plain,
% 135.79/86.50 (~v124(constB101, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20804, 20802, 20798, 20797, 20796, 20795, 20794])).
% 135.79/86.50 tff(20806,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14309, 1380, 767, 13653, 20805, 20793])).
% 135.79/86.50 tff(20807,plain,((~v84(constB103, bitIndex2)) | (~v84(constB101, bitIndex1)) | v115(constB97) | v84(constB99, bitIndex0) | v118(constB97) | (~v84(constB97, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20808,plain,
% 135.79/86.50 (v84(constB99, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20807, 20756, 9313, 20758, 14842, 15225])).
% 135.79/86.50 tff(20809,plain,
% 135.79/86.50 (~v84(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15154, 20808, 20575, 13456, 20757])).
% 135.79/86.50 tff(20810,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13352, 20809, 20808, 20757])).
% 135.79/86.50 tff(20811,plain,((~v84(constB97, bitIndex1)) | v118(constB99) | v145(constB99) | (~v84(constB103, bitIndex2)) | v118(constB97) | (~v94(constB108)) | (~v84(constB114, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20812,plain,
% 135.79/86.50 (~v84(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20811, 20571, 13456, 20494, 20566, 6505, 7612])).
% 135.79/86.50 tff(20813,plain,
% 135.79/86.50 (~v84(constB96, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15199, 20812])).
% 135.79/86.50 tff(20814,plain,
% 135.79/86.50 (~v123(constB96, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15222, 20813, 15211])).
% 135.79/86.50 tff(20815,plain,
% 135.79/86.50 (v84(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20607, 13384, 10796, 9324, 11445])).
% 135.79/86.50 tff(20816,plain,
% 135.79/86.50 (v84(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18970, 20815])).
% 135.79/86.50 tff(20817,plain,
% 135.79/86.50 (~v84(constB96, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18367, 17674, 18262])).
% 135.79/86.50 tff(20818,plain,
% 135.79/86.50 (~v84(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18358, 20817])).
% 135.79/86.50 tff(20819,plain,
% 135.79/86.50 (v84(constB96, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18264, 17675, 18262])).
% 135.79/86.50 tff(20820,plain,
% 135.79/86.50 (v84(constB97, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15552, 20819])).
% 135.79/86.50 tff(20821,plain,
% 135.79/86.50 (~v113(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15560, 2764, 14967])).
% 135.79/86.50 tff(20822,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15581, 15557, 20821, 14929, 15275])).
% 135.79/86.50 tff(20823,plain,(v84(constB97, bitIndex2) | v124(constB97, bitIndex1) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20824,plain,
% 135.79/86.50 (v124(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20823, 20820, 20818, 16718])).
% 135.79/86.50 tff(20825,plain,
% 135.79/86.50 (v121(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15273, 20824])).
% 135.79/86.50 tff(20826,plain,
% 135.79/86.50 (v123(constB98, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15262, 20825])).
% 135.79/86.50 tff(20827,plain,
% 135.79/86.50 (v107(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15239, 16718])).
% 135.79/86.50 tff(20828,plain,
% 135.79/86.50 (v106(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15003, 20827])).
% 135.79/86.50 tff(20829,plain,
% 135.79/86.50 (v102(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15041, 619, 20828])).
% 135.79/86.50 tff(20830,plain,
% 135.79/86.50 (v104(constB98)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15037, 20829])).
% 135.79/86.50 tff(20831,plain,
% 135.79/86.50 (v94(constB98)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15029, 20830])).
% 135.79/86.50 tff(20832,plain,
% 135.79/86.50 (v84(constB98, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15254, 20831, 20826])).
% 135.79/86.50 tff(20833,plain,
% 135.79/86.50 (v84(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15089, 20832])).
% 135.79/86.50 tff(20834,plain,
% 135.79/86.50 (~v113(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15099, 1465, 20833])).
% 135.79/86.50 tff(20835,plain,
% 135.79/86.50 (~v118(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15127, 2842, 20833])).
% 135.79/86.50 tff(20836,plain,
% 135.79/86.50 (~v172(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15136, 2289, 20833])).
% 135.79/86.50 tff(20837,plain,
% 135.79/86.50 (~v145(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19480, 816, 20833])).
% 135.79/86.50 tff(20838,plain,
% 135.79/86.50 (v123(constB100, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19125, 13858])).
% 135.79/86.50 tff(20839,plain,
% 135.79/86.50 (v121(constB99, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19129, 1362, 767, 13154, 20838])).
% 135.79/86.50 tff(20840,plain,
% 135.79/86.50 (v124(constB99, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19136, 1380, 767, 13883, 20839])).
% 135.79/86.50 tff(20841,plain,
% 135.79/86.50 ((~v94(constB100)) | v123(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19309, 1344, 823, 13485])).
% 135.79/86.50 tff(20842,plain,
% 135.79/86.50 (v123(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20841, 13858])).
% 135.79/86.50 tff(20843,plain,
% 135.79/86.50 (v121(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19319, 20842])).
% 135.79/86.50 tff(20844,plain,
% 135.79/86.50 (v124(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19326, 1380, 823, 13883, 20843])).
% 135.79/86.50 tff(20845,plain,
% 135.79/86.50 (~v116(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19335, 2167, 2164, 823, 20844])).
% 135.79/86.50 tff(20846,plain,
% 135.79/86.50 (v115(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19187, 2427, 2424, 767, 13456, 13354, 13345, 20845, 20840, 13926])).
% 135.79/86.50 tff(20847,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19143, 2030, 2257, 767, 20840, 20846])).
% 135.79/86.50 tff(20848,plain,((~v94(constB100)) | v145(constB99) | v172(constB99) | v118(constB99) | v113(constB99) | (~v84(constB100, bitIndex2)) | (~v84(constB100, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20849,plain,
% 135.79/86.50 (~v94(constB100)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20848, 20837, 20836, 20835, 20834, 13295, 13485])).
% 135.79/86.50 tff(20850,plain,
% 135.79/86.50 (v94(constB100) | v84(constB99, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13333, 805, 767, 13154, 13295])).
% 135.79/86.50 tff(20851,plain,
% 135.79/86.50 (v84(constB99, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20850, 20849])).
% 135.79/86.50 tff(20852,plain,
% 135.79/86.50 (v84(constB98, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19066, 20851])).
% 135.79/86.50 tff(20853,plain,
% 135.79/86.50 (v123(constB98, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15586, 1344, 767, 20831, 20852])).
% 135.79/86.50 tff(20854,plain,
% 135.79/86.50 (v121(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15591, 1362, 767, 14884, 20853])).
% 135.79/86.50 tff(20855,plain,
% 135.79/86.50 (v124(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15598, 1380, 767, 14996, 20854])).
% 135.79/86.50 tff(20856,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14974, 865, 14968, 14967, 14929, 15178])).
% 135.79/86.50 tff(20857,plain,(v145(constB97) | (~v84(constB97, bitIndex0)) | v84(constB97, bitIndex2) | v84(constB97, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20858,plain,
% 135.79/86.50 (v145(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20857, 20820, 20818, 16718])).
% 135.79/86.50 tff(20859,plain,
% 135.79/86.50 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB97)) | (~v124(constB97, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.79/86.50 inference(rewrite,[status(thm)],[])).
% 135.79/86.50 tff(20860,plain,
% 135.79/86.50 (((~v145(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.79/86.50 inference(rewrite,[status(thm)],[])).
% 135.79/86.50 tff(20861,plain,
% 135.79/86.50 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB97)) | (~v124(constB97, bitIndex2))))),
% 135.79/86.50 inference(monotonicity,[status(thm)],[20860])).
% 135.79/86.50 tff(20862,plain,
% 135.79/86.50 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB97)) | (~v124(constB97, bitIndex2)))),
% 135.79/86.50 inference(transitivity,[status(thm)],[20861, 20859])).
% 135.79/86.50 tff(20863,plain,
% 135.79/86.50 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB97)) | (~less_3(bitIndex2)) | (~v124(constB97, bitIndex2)) | b010(bitIndex2))),
% 135.79/86.50 inference(quant_inst,[status(thm)],[])).
% 135.79/86.50 tff(20864,plain,
% 135.79/86.50 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB97)) | (~v124(constB97, bitIndex2))),
% 135.79/86.50 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 135.79/86.50 tff(20865,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20864, 1419, 1416, 767, 20858, 20855])).
% 135.79/86.50 tff(20866,plain,(v84(constB96, bitIndex1) | (~v84(constB100, bitIndex2)) | (~v84(constB100, bitIndex1)) | v123(constB96, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20867,plain,
% 135.79/86.50 (v123(constB96, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20866, 15214, 13485, 13295])).
% 135.79/86.50 tff(20868,plain,
% 135.79/86.50 (v121(constB95, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17706, 20867])).
% 135.79/86.50 tff(20869,plain,
% 135.79/86.50 (v124(constB95, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17698, 20868])).
% 135.79/86.50 tff(20870,plain,
% 135.79/86.50 (~v145(constB95)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17687, 20869])).
% 135.79/86.50 tff(20871,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18171, 17816, 20869, 17825, 15726, 20870, 18163, 17812])).
% 135.79/86.50 tff(20872,plain,(v84(constB96, bitIndex1) | v172(constB95) | v116(constB95) | (~v84(constB100, bitIndex1)) | (~v84(constB100, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20873,plain,
% 135.79/86.50 (v172(constB95)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20872, 15214, 13485, 18163, 13295])).
% 135.79/86.50 tff(20874,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18281, 17805, 20873])).
% 135.79/86.50 tff(20875,plain,(v84(constB96, bitIndex1) | (~v84(constB100, bitIndex1)) | v116(constB95) | (~v84(constB100, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20876,plain,
% 135.79/86.50 (~v84(constB100, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20875, 20816, 18163, 15214])).
% 135.79/86.50 tff(20877,plain,
% 135.79/86.50 (~v123(constB100, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13976, 20876, 13855])).
% 135.79/86.50 tff(20878,plain,
% 135.79/86.50 (~v121(constB99, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13966, 20877])).
% 135.79/86.50 tff(20879,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13958, 20878, 13948])).
% 135.79/86.50 tff(20880,plain,(v84(constB101, bitIndex0) | v145(constB99) | v116(constB95) | v84(constB96, bitIndex1) | (~v124(constB103, bitIndex1)) | v172(constB103) | v145(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20881,plain,
% 135.79/86.50 (v84(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20880, 15214, 18163, 13456, 10796, 9324, 11445])).
% 135.79/86.50 tff(20882,plain,
% 135.79/86.50 (v84(constB100, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19215, 13678])).
% 135.79/86.50 tff(20883,plain,
% 135.79/86.50 (~v172(constB100)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19219, 7708, 20882])).
% 135.79/86.50 tff(20884,plain,
% 135.79/86.50 (~v84(constB103, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14453, 13691])).
% 135.79/86.50 tff(20885,plain,
% 135.79/86.50 (v84(constB103, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14619, 20884, 11445])).
% 135.79/86.50 tff(20886,plain,
% 135.79/86.50 (v84(constB103, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[9325, 20885, 20884])).
% 135.79/86.50 tff(20887,plain,
% 135.79/86.50 (v84(constB102, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14768, 20886])).
% 135.79/86.50 tff(20888,plain,
% 135.79/86.50 (v84(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19199, 20887, 20883])).
% 135.79/86.50 tff(20889,plain,
% 135.79/86.50 (v84(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13487, 20888])).
% 135.79/86.50 tff(20890,plain,
% 135.79/86.50 (v94(constB102)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13792, 20889, 13691])).
% 135.79/86.50 tff(20891,plain,
% 135.79/86.50 ((~v94(constB102)) | v123(constB102, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14197, 1344, 795, 20887])).
% 135.79/86.50 tff(20892,plain,
% 135.79/86.50 (v123(constB102, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20891, 20890])).
% 135.79/86.50 tff(20893,plain,
% 135.79/86.50 (v121(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14202, 1362, 795, 13597, 20892])).
% 135.79/86.50 tff(20894,plain,
% 135.79/86.50 (v124(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14206, 1380, 795, 13653, 20893])).
% 135.79/86.50 tff(20895,plain,
% 135.79/86.50 (~v84(constB100, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20875, 20888, 18163, 15214])).
% 135.79/86.50 tff(20896,plain,
% 135.79/86.50 (~v84(constB101, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19197, 20895])).
% 135.79/86.50 tff(20897,plain,
% 135.79/86.50 (v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v116(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14230, 1076, 13678])).
% 135.79/86.50 tff(20898,plain,
% 135.79/86.50 (v116(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20897, 20896, 20889])).
% 135.79/86.50 tff(20899,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14791, 2386, 2164, 795, 20898, 20894])).
% 135.79/86.50 tff(20900,plain,(v84(constB102, bitIndex1) | (~v84(constB101, bitIndex0)) | v116(constB95) | v84(constB96, bitIndex1) | v172(constB103) | v145(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20901,plain,
% 135.79/86.50 (v84(constB102, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20900, 20881, 18163, 15214, 9324, 11445])).
% 135.79/86.50 tff(20902,plain,
% 135.79/86.50 (v84(constB103, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14349, 20901])).
% 135.79/86.50 tff(20903,plain,
% 135.79/86.50 (~v118(constB103)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14361, 20902])).
% 135.79/86.50 tff(20904,plain,
% 135.79/86.50 (~v84(constB103, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20561, 20903, 8586, 9324])).
% 135.79/86.50 tff(20905,plain,
% 135.79/86.50 ((~v84(constB103, bitIndex1)) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex0))),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[9294, 1076, 20589])).
% 135.79/86.50 tff(20906,plain,
% 135.79/86.50 (~v84(constB103, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20905, 20904, 20902])).
% 135.79/86.50 tff(20907,plain,
% 135.79/86.50 (~v172(constB95)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18281, 17805])).
% 135.79/86.50 tff(20908,plain,
% 135.79/86.50 (v145(constB95)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18324, 15723, 18163, 17756, 19515, 19514])).
% 135.79/86.50 tff(20909,plain,
% 135.79/86.50 (~v115(constB95)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17815, 15718])).
% 135.79/86.50 tff(20910,plain,
% 135.79/86.50 (v84(constB95, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19511, 20909, 15609, 18163])).
% 135.79/86.50 tff(20911,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17657, 20910, 20908])).
% 135.79/86.50 tff(20912,plain,(v124(constB95, bitIndex1) | (~v84(constB95, bitIndex1)) | v116(constB95) | v124(constB95, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20913,plain,
% 135.79/86.50 (v124(constB95, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20912, 17805, 18163, 17677])).
% 135.79/86.50 tff(20914,plain,
% 135.79/86.50 (~v145(constB95)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[16748, 20913])).
% 135.79/86.50 tff(20915,plain,
% 135.79/86.50 (~v124(constB95, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18171, 20914, 18163, 20907, 17825, 17816, 17812])).
% 135.79/86.50 tff(20916,plain,
% 135.79/86.50 (~v121(constB95, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17698, 20915])).
% 135.79/86.50 tff(20917,plain,
% 135.79/86.50 (~v123(constB96, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17706, 20916])).
% 135.79/86.50 tff(20918,plain,
% 135.79/86.50 (~v84(constB96, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18367, 20917, 17674])).
% 135.79/86.50 tff(20919,plain,
% 135.79/86.50 (~v84(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18358, 20918])).
% 135.79/86.50 tff(20920,plain,
% 135.79/86.50 (~v84(constB102, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14267, 20904])).
% 135.79/86.50 tff(20921,plain,
% 135.79/86.50 (v107(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14991, 14929])).
% 135.79/86.50 tff(20922,plain,
% 135.79/86.50 (v106(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15003, 20921])).
% 135.79/86.50 tff(20923,plain,
% 135.79/86.50 (v102(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15041, 619, 20922])).
% 135.79/86.50 tff(20924,plain,
% 135.79/86.50 (v104(constB98)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15037, 20923])).
% 135.79/86.50 tff(20925,plain,
% 135.79/86.50 (v94(constB98)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15029, 20924])).
% 135.79/86.50 tff(20926,plain,
% 135.79/86.50 (v84(constB96, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18327, 14929, 15664, 15726, 17875, 15725])).
% 135.79/86.50 tff(20927,plain,
% 135.79/86.50 (v84(constB97, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15552, 20926])).
% 135.79/86.50 tff(20928,plain,
% 135.79/86.50 (~v84(constB96, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18501, 14929])).
% 135.79/86.50 tff(20929,plain,
% 135.79/86.50 (v94(constB96)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18386, 20928])).
% 135.79/86.50 tff(20930,plain,
% 135.79/86.50 (v123(constB96, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17763, 20929, 20926])).
% 135.79/86.50 tff(20931,plain,
% 135.79/86.50 (v121(constB95, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[16732, 20930])).
% 135.79/86.50 tff(20932,plain,
% 135.79/86.50 (v124(constB95, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17758, 20931])).
% 135.79/86.50 tff(20933,plain,
% 135.79/86.50 (~v116(constB95)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18945, 20932])).
% 135.79/86.50 tff(20934,plain,
% 135.79/86.50 (v124(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20823, 15178, 14929, 14967])).
% 135.79/86.50 tff(20935,plain,
% 135.79/86.50 (v121(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15273, 20934])).
% 135.79/86.50 tff(20936,plain,
% 135.79/86.50 (v123(constB98, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15262, 20935])).
% 135.79/86.50 tff(20937,plain,
% 135.79/86.50 (v84(constB98, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15254, 20936, 20925])).
% 135.79/86.50 tff(20938,plain,
% 135.79/86.50 (v84(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15089, 20937])).
% 135.79/86.50 tff(20939,plain,
% 135.79/86.50 (v145(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20857, 15178, 14929, 14967])).
% 135.79/86.50 tff(20940,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20864, 1419, 1416, 767, 14843, 18530])).
% 135.79/86.50 tff(20941,plain,((~v124(constB97, bitIndex2)) | (~v145(constB97))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20942,plain,
% 135.79/86.50 (~v124(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20941, 20939])).
% 135.79/86.50 tff(20943,plain,
% 135.79/86.50 (~v121(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15598, 1380, 767, 14996, 20942])).
% 135.79/86.50 tff(20944,plain,
% 135.79/86.50 (~v123(constB98, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19072, 20943])).
% 135.79/86.50 tff(20945,plain,
% 135.79/86.50 (~v84(constB98, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15586, 1344, 767, 20925, 20944])).
% 135.79/86.50 tff(20946,plain,
% 135.79/86.50 (~v84(constB99, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19066, 20945])).
% 135.79/86.50 tff(20947,plain,
% 135.79/86.50 (v84(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20880, 13456, 18163, 15214, 10796, 9324, 11445])).
% 135.79/86.50 tff(20948,plain,
% 135.79/86.50 (v94(constB102)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14241, 20947, 13675])).
% 135.79/86.50 tff(20949,plain,
% 135.79/86.50 (v123(constB102, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13991, 20948])).
% 135.79/86.50 tff(20950,plain,
% 135.79/86.50 (v121(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13995, 1362, 823, 13597, 20949])).
% 135.79/86.50 tff(20951,plain,
% 135.79/86.50 (v124(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13999, 1380, 823, 13653, 20950])).
% 135.79/86.50 tff(20952,plain,
% 135.79/86.50 (~v116(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13410, 2167, 2164, 823, 20951])).
% 135.79/86.50 tff(20953,plain,
% 135.79/86.50 (~v123(constB102, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14011, 20948, 13677])).
% 135.79/86.50 tff(20954,plain,
% 135.79/86.50 (~v121(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14015, 1708, 795, 13597, 20953])).
% 135.79/86.50 tff(20955,plain,
% 135.79/86.50 (~v124(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14022, 1728, 795, 13653, 20954])).
% 135.79/86.50 tff(20956,plain,
% 135.79/86.50 (~v118(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14029, 1148, 1145, 795, 20955])).
% 135.79/86.50 tff(20957,plain,
% 135.79/86.50 (~v115(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14036, 1148, 1193, 795, 20955])).
% 135.79/86.50 tff(20958,plain,
% 135.79/86.50 (~v113(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13470, 20951])).
% 135.79/86.50 tff(20959,plain,
% 135.79/86.50 (~v123(constB102, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14045, 20948])).
% 135.79/86.50 tff(20960,plain,
% 135.79/86.50 (~v121(constB101, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14053, 20959])).
% 135.79/86.50 tff(20961,plain,
% 135.79/86.50 (~v124(constB101, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14060, 1728, 767, 13653, 20960])).
% 135.79/86.50 tff(20962,plain,
% 135.79/86.50 (~v172(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14070, 20961])).
% 135.79/86.50 tff(20963,plain,
% 135.79/86.50 (v145(constB101) | v118(constB101) | v116(constB101) | v115(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13478, 2601, 2424, 823, 20962, 20958, 20951])).
% 135.79/86.50 tff(20964,plain,
% 135.79/86.50 (v145(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20963, 20957, 20956, 20952])).
% 135.79/86.50 tff(20965,plain,
% 135.79/86.50 (v94(constB100)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13461, 20964])).
% 135.79/86.50 tff(20966,plain,
% 135.79/86.50 (~v84(constB101, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13419, 725, 20964])).
% 135.79/86.50 tff(20967,plain,
% 135.79/86.50 (v124(constB99, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14168, 20966, 20957, 20965])).
% 135.79/86.50 tff(20968,plain,
% 135.79/86.50 (~v84(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13438, 816, 20964])).
% 135.79/86.50 tff(20969,plain,
% 135.79/86.50 (~v84(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13487, 20968])).
% 135.79/86.50 tff(20970,plain,
% 135.79/86.50 (~v123(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14109, 1674, 823, 20965, 20969])).
% 135.79/86.50 tff(20971,plain,
% 135.79/86.50 (~v121(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14102, 20970])).
% 135.79/86.50 tff(20972,plain,
% 135.79/86.50 (~v124(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14094, 1728, 823, 13883, 20971])).
% 135.79/86.50 tff(20973,plain,
% 135.79/86.50 (~v115(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19030, 20972])).
% 135.79/86.50 tff(20974,plain,
% 135.79/86.50 (v84(constB99, bitIndex0) | v115(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13277, 1095, 15096, 15046])).
% 135.79/86.50 tff(20975,plain,
% 135.79/86.50 (v84(constB99, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20974, 20973])).
% 135.79/86.50 tff(20976,plain,
% 135.79/86.50 (v116(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19056, 20975, 15046, 13456])).
% 135.79/86.50 tff(20977,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19042, 2386, 2164, 795, 20976, 20967])).
% 135.79/86.50 tff(20978,plain,(v145(constB99) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex1)) | v84(constB102, bitIndex2) | (~v84(constB102, bitIndex1)) | v84(constB102, bitIndex0) | v116(constB95) | v84(constB96, bitIndex1) | (~v124(constB103, bitIndex1)) | v172(constB103) | v145(constB103)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20979,plain,
% 135.79/86.50 (v145(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20978, 20946, 20938, 13675, 13823, 13677, 18163, 15212, 10796, 9324, 11445])).
% 135.79/86.50 tff(20980,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19480, 816, 20979, 20938])).
% 135.79/86.50 tff(20981,plain,(v84(constB97, bitIndex1) | v84(constB102, bitIndex2) | (~v84(constB102, bitIndex1)) | v84(constB102, bitIndex0) | v116(constB95) | (~v124(constB103, bitIndex1)) | v172(constB103) | v145(constB103) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(20982,plain,
% 135.79/86.50 (v84(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20981, 20933, 13823, 13677, 13675, 10796, 9324, 11445, 14929, 20927])).
% 135.79/86.50 tff(20983,plain,
% 135.79/86.50 (~v145(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14851, 20982])).
% 135.79/86.50 tff(20984,plain,
% 135.79/86.50 (v116(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14985, 20983, 14929, 20927])).
% 135.79/86.50 tff(20985,plain,
% 135.79/86.50 (v124(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18596, 20984])).
% 135.79/86.50 tff(20986,plain,
% 135.79/86.50 (v121(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18538, 20985])).
% 135.79/86.50 tff(20987,plain,
% 135.79/86.50 (v123(constB98, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18527, 20986])).
% 135.79/86.50 tff(20988,plain,
% 135.79/86.50 (v84(constB98, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18519, 20987, 20925])).
% 135.79/86.50 tff(20989,plain,
% 135.79/86.50 (v84(constB99, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15066, 20988])).
% 135.79/86.50 tff(20990,plain,
% 135.79/86.50 (~v145(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15072, 20989])).
% 135.79/86.50 tff(20991,plain,
% 135.79/86.50 (v84(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14075, 20990, 13823, 13677, 13675])).
% 135.79/86.50 tff(20992,plain,
% 135.79/86.50 (v94(constB102)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14241, 20991, 13675])).
% 135.79/86.50 tff(20993,plain,
% 135.79/86.50 (v123(constB102, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13991, 20992])).
% 135.79/86.50 tff(20994,plain,
% 135.79/86.50 (v121(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13995, 1362, 823, 13597, 20993])).
% 135.79/86.50 tff(20995,plain,
% 135.79/86.50 (v124(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13999, 1380, 823, 13653, 20994])).
% 135.79/86.50 tff(20996,plain,
% 135.79/86.50 (~v116(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13410, 2167, 2164, 823, 20995])).
% 135.79/86.50 tff(20997,plain,
% 135.79/86.50 (~v123(constB102, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14011, 20992, 13677])).
% 135.79/86.50 tff(20998,plain,
% 135.79/86.50 (~v121(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14015, 1708, 795, 13597, 20997])).
% 135.79/86.50 tff(20999,plain,
% 135.79/86.50 (~v124(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14022, 1728, 795, 13653, 20998])).
% 135.79/86.50 tff(21000,plain,
% 135.79/86.50 (~v118(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14029, 1148, 1145, 795, 20999])).
% 135.79/86.50 tff(21001,plain,
% 135.79/86.50 (~v113(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14331, 2764, 20991])).
% 135.79/86.50 tff(21002,plain,
% 135.79/86.50 (~v115(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19879, 3011, 20991])).
% 135.79/86.50 tff(21003,plain,
% 135.79/86.50 (~v172(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13394, 7708, 20991])).
% 135.79/86.50 tff(21004,plain,
% 135.79/86.50 (v145(constB101) | v118(constB101) | v116(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13478, 2601, 2424, 823, 21003, 21002, 21001, 20995])).
% 135.79/86.50 tff(21005,plain,
% 135.79/86.50 (v145(constB101)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21004, 21000, 20996])).
% 135.79/86.50 tff(21006,plain,
% 135.79/86.50 (v94(constB100)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13461, 21005])).
% 135.79/86.50 tff(21007,plain,
% 135.79/86.50 (~v84(constB101, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13419, 725, 21005])).
% 135.79/86.50 tff(21008,plain,
% 135.79/86.50 (v124(constB99, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14168, 21007, 21002, 21006])).
% 135.79/86.50 tff(21009,plain,
% 135.79/86.50 (~v172(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19179, 1997, 1994, 795, 21008])).
% 135.79/86.50 tff(21010,plain,
% 135.79/86.50 (~v84(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13438, 816, 21005])).
% 135.79/86.50 tff(21011,plain,
% 135.79/86.50 (~v84(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13487, 21010])).
% 135.79/86.50 tff(21012,plain,
% 135.79/86.50 (~v123(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14109, 1674, 823, 21006, 21011])).
% 135.79/86.50 tff(21013,plain,
% 135.79/86.50 (~v121(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14102, 21012])).
% 135.79/86.50 tff(21014,plain,
% 135.79/86.50 (~v124(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14094, 1728, 823, 13883, 21013])).
% 135.79/86.50 tff(21015,plain,
% 135.79/86.50 (~v118(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18979, 3033, 1145, 823, 21014])).
% 135.79/86.50 tff(21016,plain,
% 135.79/86.50 (v84(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13360, 21015, 20989, 21009])).
% 135.79/86.50 tff(21017,plain,
% 135.79/86.50 (v84(constB98, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18661, 21016])).
% 135.79/86.50 tff(21018,plain,
% 135.79/86.50 (v123(constB98, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18990, 1344, 823, 20925, 21017])).
% 135.79/86.50 tff(21019,plain,
% 135.79/86.50 (v121(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18994, 1362, 823, 14884, 21018])).
% 135.79/86.50 tff(21020,plain,
% 135.79/86.50 (v124(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19001, 1380, 823, 14996, 21019])).
% 135.79/86.50 tff(21021,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19109, 2167, 2164, 823, 20984, 21020])).
% 135.79/86.50 tff(21022,plain,(v84(constB97, bitIndex2) | (~v84(constB102, bitIndex1)) | v84(constB102, bitIndex0) | v84(constB102, bitIndex2) | (~v124(constB103, bitIndex1)) | v172(constB103) | v145(constB103) | v145(constB95) | v172(constB95) | v113(constB95) | v118(constB95)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21023,plain,
% 135.79/86.50 (v84(constB102, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21022, 20920, 20914, 20919, 10796, 9324, 11445, 20901, 20907, 17812, 17825])).
% 135.79/86.50 tff(21024,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14353, 21023, 20906])).
% 135.79/86.50 tff(21025,plain,(v84(constB96, bitIndex1) | (~v124(constB103, bitIndex1)) | v172(constB103) | v145(constB103) | (~v145(constB111)) | v116(constB95) | v145(constB99)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21026,plain,
% 135.79/86.50 (v116(constB95)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21025, 20813, 8586, 10796, 9324, 11445, 13456])).
% 135.79/86.50 tff(21027,plain,
% 135.79/86.50 (~v124(constB95, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18945, 21026])).
% 135.79/86.50 tff(21028,plain,
% 135.79/86.50 (~v121(constB95, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17758, 21027])).
% 135.79/86.50 tff(21029,plain,
% 135.79/86.50 (~v123(constB96, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[16732, 21028])).
% 135.79/86.50 tff(21030,plain,
% 135.79/86.50 (~v84(constB96, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[17763, 21029, 15211])).
% 135.79/86.50 tff(21031,plain,
% 135.79/86.50 (v172(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15545, 21030, 20814, 20812])).
% 135.79/86.50 tff(21032,plain,
% 135.79/86.50 (v124(constB97, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18548, 21031])).
% 135.79/86.50 tff(21033,plain,
% 135.79/86.50 (~v145(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20941, 21032])).
% 135.79/86.50 tff(21034,plain,
% 135.79/86.50 (~v115(constB97)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19084, 21032])).
% 135.79/86.50 tff(21035,plain,
% 135.79/86.50 (v84(constB99, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19411, 21034, 20566, 21033, 13456])).
% 135.79/86.50 tff(21036,plain,
% 135.79/86.50 (v124(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15284, 21031])).
% 135.79/86.50 tff(21037,plain,
% 135.79/86.50 (v121(constB97, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15273, 21036])).
% 135.79/86.50 tff(21038,plain,
% 135.79/86.50 (v123(constB98, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15262, 21037])).
% 135.79/86.50 tff(21039,plain,
% 135.79/86.50 (v84(constB98, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15254, 21038, 20576])).
% 135.79/86.50 tff(21040,plain,
% 135.79/86.50 (v84(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15089, 21039])).
% 135.79/86.50 tff(21041,plain,
% 135.79/86.50 (~v84(constB99, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15154, 21040, 20575, 13456, 21035])).
% 135.79/86.50 tff(21042,plain,
% 135.79/86.50 (~v84(constB100, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20782, 21041, 20567, 21034, 20566, 21033])).
% 135.79/86.50 tff(21043,plain,
% 135.79/86.50 (~v84(constB101, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19215, 21042])).
% 135.79/86.50 tff(21044,plain,
% 135.79/86.50 (v84(constB101, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19212, 21043, 20565, 20492])).
% 135.79/86.50 tff(21045,plain,
% 135.79/86.50 (v84(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18970, 21044])).
% 135.79/86.50 tff(21046,plain,
% 135.79/86.50 (v123(constB100, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19311, 21045, 14434])).
% 135.79/86.50 tff(21047,plain,
% 135.79/86.50 (v121(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19319, 21046])).
% 135.79/86.50 tff(21048,plain,
% 135.79/86.50 (v124(constB99, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20753, 21047])).
% 135.79/86.50 tff(21049,plain,
% 135.79/86.50 (~v116(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19337, 21048])).
% 135.79/86.50 tff(21050,plain,
% 135.79/86.50 (~v113(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[18630, 1119, 21035])).
% 135.79/86.50 tff(21051,plain,
% 135.79/86.50 (~v172(constB99)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[15136, 2289, 21040])).
% 135.79/86.50 tff(21052,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19467, 21051, 21050, 20576, 21033, 13456, 21049, 20566, 21048])).
% 135.79/86.50 tff(21053,plain,(v94(constB116) | v145(constB99) | (~v94(constB96)) | (~v145(constB111)) | (~v124(constB103, bitIndex1)) | v172(constB103) | v145(constB103) | (~v94(constB108)) | (~v84(constB114, bitIndex1)) | v115(constB117) | v145(constB117)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21054,plain,
% 135.79/86.50 (v94(constB116)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21053, 20200, 15211, 13456, 20198, 9324, 11445, 6505, 20260, 20123, 20445])).
% 135.79/86.50 tff(21055,plain,
% 135.79/86.50 (~v118(constB115)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[7680, 20261])).
% 135.79/86.50 tff(21056,plain,
% 135.79/86.50 (~v119(constB115)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[7665, 20221])).
% 135.79/86.50 tff(21057,plain,
% 135.79/86.50 (v104(constB116)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[7790, 21054])).
% 135.79/86.50 tff(21058,plain,
% 135.79/86.50 (v102(constB115)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[7798, 21057])).
% 135.79/86.50 tff(21059,plain,
% 135.79/86.50 (v106(constB115)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[7810, 21058])).
% 135.79/86.50 tff(21060,plain,
% 135.79/86.50 (v107(constB115)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[7814, 3161, 21059])).
% 135.79/86.50 tff(21061,plain,
% 135.79/86.50 (v108(constB115)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[7772, 21060, 21056])).
% 135.79/86.50 tff(21062,plain,
% 135.79/86.50 (v109(constB115)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[7763, 21061, 21055])).
% 135.79/86.50 tff(21063,plain,
% 135.79/86.50 (v116(constB115)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20093, 21062, 20261, 20221])).
% 135.79/86.50 tff(21064,plain,
% 135.79/86.50 (~v124(constB115, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[12136, 21063])).
% 135.79/86.50 tff(21065,plain,
% 135.79/86.50 (~v121(constB115, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[11946, 21064])).
% 135.79/86.50 tff(21066,plain,
% 135.79/86.50 (~v123(constB116, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[11940, 21065])).
% 135.79/86.50 tff(21067,plain,
% 135.79/86.50 (~v84(constB116, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[11934, 21066, 21054])).
% 135.79/86.50 tff(21068,plain,
% 135.79/86.50 (~v84(constB118, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[12118, 21067, 20261, 6519])).
% 135.79/86.50 tff(21069,plain,
% 135.79/86.50 (~v84(constB119, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5601, 21068])).
% 135.79/86.50 tff(21070,plain,
% 135.79/86.50 (v94(constB118)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[13023, 5777])).
% 135.79/86.50 tff(21071,plain,
% 135.79/86.50 (v84(constB118, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5903, 12228, 5777])).
% 135.79/86.50 tff(21072,plain,
% 135.79/86.50 (v123(constB118, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5526, 21071, 21070])).
% 135.79/86.50 tff(21073,plain,
% 135.79/86.50 (v121(constB117, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5517, 21072])).
% 135.79/86.50 tff(21074,plain,
% 135.79/86.50 (v124(constB117, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5509, 21073])).
% 135.79/86.50 tff(21075,plain,
% 135.79/86.50 (~v172(constB117)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[6133, 21074])).
% 135.79/86.50 tff(21076,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5371, 1047, 12116, 12024, 12115, 21075])).
% 135.79/86.50 tff(21077,plain,(v84(constB116, bitIndex0) | v84(constB118, bitIndex2) | (~v84(constB115, bitIndex1)) | v145(constB105)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21078,plain,
% 135.79/86.50 (v84(constB118, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21077, 21067, 20261, 6519])).
% 135.79/86.50 tff(21079,plain,
% 135.79/86.50 (v84(constB119, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5775, 21078])).
% 135.79/86.50 tff(21080,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5763, 21079, 21069, 5594, 20490])).
% 135.79/86.50 tff(21081,plain,(v172(constB103) | (~v84(constB120, bitIndex2)) | v145(constB105) | (~v94(constB96)) | v145(constB99) | v145(constB103) | (~v94(constB108))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21082,plain,
% 135.79/86.50 (v172(constB103)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21081, 19856, 6505, 20122, 5594, 13148, 6519])).
% 135.79/86.50 tff(21083,plain,
% 135.79/86.50 (~v84(constB103, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14394, 21082])).
% 135.79/86.50 tff(21084,plain,
% 135.79/86.50 (~v84(constB102, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14349, 21083])).
% 135.79/86.50 tff(21085,plain,
% 135.79/86.50 (v84(constB102, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20642, 21084, 19843, 20118])).
% 135.79/86.50 tff(21086,plain,
% 135.79/86.50 (v84(constB103, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14353, 21085])).
% 135.79/86.50 tff(21087,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[14288, 7708, 21082, 21086])).
% 135.79/86.50 tff(21088,plain,(v145(constB105) | (~v94(constB108)) | (~v84(constB120, bitIndex2)) | (~v84(constB118, bitIndex0)) | (~v84(constB118, bitIndex2)) | (~v84(constB118, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21089,plain,
% 135.79/86.50 (v145(constB105)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21088, 6518, 5594, 6505, 6516, 6512])).
% 135.79/86.50 tff(21090,plain,
% 135.79/86.50 (~v84(constB110, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20665, 21089, 6505])).
% 135.79/86.50 tff(21091,plain,
% 135.79/86.50 (v94(constB110)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20670, 21090])).
% 135.79/86.50 tff(21092,plain,
% 135.79/86.50 (~v123(constB110, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[8840, 21091, 21090])).
% 135.79/86.50 tff(21093,plain,
% 135.79/86.50 (~v121(constB109, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[10494, 21092])).
% 135.79/86.50 tff(21094,plain,
% 135.79/86.50 (~v124(constB109, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[10486, 21093])).
% 135.79/86.50 tff(21095,plain,
% 135.79/86.50 (~v145(constB109)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[10360, 21094])).
% 135.79/86.50 tff(21096,plain,
% 135.79/86.50 (v84(constB115, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[12013, 6512, 6516, 6207])).
% 135.79/86.50 tff(21097,plain,
% 135.79/86.50 (v84(constB114, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[12485, 21096])).
% 135.79/86.50 tff(21098,plain,
% 135.79/86.50 (~v84(constB111, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19752, 21090])).
% 135.79/86.50 tff(21099,plain,
% 135.79/86.50 (v84(constB109, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20745, 21098, 6505, 21097])).
% 135.79/86.50 tff(21100,plain,
% 135.79/86.50 (v84(constB108, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[10502, 21099])).
% 135.79/86.50 tff(21101,plain,
% 135.79/86.50 (~v84(constB110, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[20245, 21099, 21090])).
% 135.79/86.50 tff(21102,plain,
% 135.79/86.50 (v124(constB109, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[19721, 21101, 6505, 21090])).
% 135.79/86.50 tff(21103,plain,
% 135.79/86.50 (~v172(constB109)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[12829, 21102])).
% 135.79/86.50 tff(21104,plain,
% 135.79/86.50 (v84(constB104, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[11355, 21103, 21100, 12687, 21095])).
% 135.79/86.50 tff(21105,plain,
% 135.79/86.50 (v84(constB105, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[8940, 21104])).
% 135.79/86.50 tff(21106,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[10783, 816, 21089, 21105])).
% 135.79/86.50 tff(21107,plain,(v94(constB120) | (~v94(constB108)) | (~v84(constB120, bitIndex2)) | (~v84(constB120, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21108,plain,
% 135.79/86.50 (~v94(constB108)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21107, 6504, 6433, 5312])).
% 135.79/86.50 tff(21109,assumption,(~v107(constB125)), introduced(assumption)).
% 135.79/86.50 tff(21110,assumption,(v107(constB129)), introduced(assumption)).
% 135.79/86.50 tff(21111,plain,
% 135.79/86.50 (~v108(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4784, 658, 21109])).
% 135.79/86.50 tff(21112,plain,
% 135.79/86.50 (~v109(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4788, 669, 21111])).
% 135.79/86.50 tff(21113,plain,
% 135.79/86.50 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB125) | (~v172(constB125)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB125) | (~v172(constB125)))),
% 135.79/86.50 inference(rewrite,[status(thm)],[])).
% 135.79/86.50 tff(21114,plain,
% 135.79/86.50 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB125) | (~v172(constB125)))),
% 135.79/86.50 inference(quant_inst,[status(thm)],[])).
% 135.79/86.50 tff(21115,plain,
% 135.79/86.50 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB125) | (~v172(constB125))),
% 135.79/86.50 inference(modus_ponens,[status(thm)],[21114, 21113])).
% 135.79/86.50 tff(21116,plain,
% 135.79/86.50 (~v172(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21115, 1033, 21112])).
% 135.79/86.50 tff(21117,plain,
% 135.79/86.50 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB125) | (~v118(constB125)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB125) | (~v118(constB125)))),
% 135.79/86.50 inference(rewrite,[status(thm)],[])).
% 135.79/86.50 tff(21118,plain,
% 135.79/86.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB125) | (~v118(constB125)))),
% 135.79/86.50 inference(quant_inst,[status(thm)],[])).
% 135.79/86.50 tff(21119,plain,
% 135.79/86.50 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB125) | (~v118(constB125))),
% 135.79/86.50 inference(modus_ponens,[status(thm)],[21118, 21117])).
% 135.79/86.50 tff(21120,plain,
% 135.79/86.50 (~v118(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21119, 1004, 21111])).
% 135.79/86.50 tff(21121,plain,
% 135.79/86.50 (~v110(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4792, 680, 21112])).
% 135.79/86.50 tff(21122,plain,
% 135.79/86.50 (~v116(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4804, 934, 21121])).
% 135.79/86.50 tff(21123,plain,
% 135.79/86.50 (~v111(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4796, 691, 21121])).
% 135.79/86.50 tff(21124,plain,
% 135.79/86.50 (~v115(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4819, 945, 21123])).
% 135.79/86.50 tff(21125,plain,
% 135.79/86.50 (~v112(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4800, 702, 21123])).
% 135.79/86.50 tff(21126,plain,
% 135.79/86.50 (~v145(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5024, 713, 21125])).
% 135.79/86.50 tff(21127,plain,
% 135.79/86.50 (v84(constB125, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5020, 21126, 21124, 21122])).
% 135.79/86.50 tff(21128,assumption,(~v118(constB125)), introduced(assumption)).
% 135.79/86.50 tff(21129,plain,
% 135.79/86.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v118(constB125))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v118(constB125))),
% 135.79/86.50 inference(rewrite,[status(thm)],[])).
% 135.79/86.50 tff(21130,plain,
% 135.79/86.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v118(constB125))),
% 135.79/86.50 inference(quant_inst,[status(thm)],[])).
% 135.79/86.50 tff(21131,plain,
% 135.79/86.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v118(constB125)),
% 135.79/86.50 inference(modus_ponens,[status(thm)],[21130, 21129])).
% 135.79/86.50 tff(21132,plain,
% 135.79/86.50 ((~v84(constB125, bitIndex0)) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2))),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21131, 1018, 21128])).
% 135.79/86.50 tff(21133,plain,
% 135.79/86.50 (~v84(constB125, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21132, 4498, 4807])).
% 135.79/86.50 tff(21134,assumption,(~v172(constB125)), introduced(assumption)).
% 135.79/86.50 tff(21135,plain,
% 135.79/86.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB125, bitIndex0) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v172(constB125))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB125, bitIndex0) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v172(constB125))),
% 135.79/86.50 inference(rewrite,[status(thm)],[])).
% 135.79/86.50 tff(21136,plain,
% 135.79/86.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB125, bitIndex0) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v172(constB125))),
% 135.79/86.50 inference(quant_inst,[status(thm)],[])).
% 135.79/86.50 tff(21137,plain,
% 135.79/86.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB125, bitIndex0) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v172(constB125)),
% 135.79/86.50 inference(modus_ponens,[status(thm)],[21136, 21135])).
% 135.79/86.50 tff(21138,plain,
% 135.79/86.50 (v84(constB125, bitIndex0) | v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2))),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21137, 1047, 21134])).
% 135.79/86.50 tff(21139,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21138, 21133, 4498, 4807])).
% 135.79/86.50 tff(21140,plain,(v84(constB125, bitIndex1) | (~v84(constB125, bitIndex2)) | v172(constB125) | v118(constB125)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21141,plain,
% 135.79/86.50 (v84(constB125, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21140, 21127, 21120, 21116])).
% 135.79/86.50 tff(21142,plain,
% 135.79/86.50 (v84(constB124, bitIndex2)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5041, 21127])).
% 135.79/86.50 tff(21143,plain,
% 135.79/86.50 (~v119(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[6275, 1927, 21109])).
% 135.79/86.50 tff(21144,plain,
% 135.79/86.50 (v84(constB125, bitIndex0) | (~v84(constB125, bitIndex1)) | (~v84(constB125, bitIndex2))),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[6282, 1910, 21143])).
% 135.79/86.50 tff(21145,plain,
% 135.79/86.50 (v84(constB125, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21144, 21141, 21127])).
% 135.79/86.50 tff(21146,plain,
% 135.79/86.50 (v84(constB124, bitIndex0)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5053, 21145])).
% 135.79/86.50 tff(21147,plain,
% 135.79/86.50 (~v84(constB124, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[5151, 21146, 4832, 21142])).
% 135.79/86.50 tff(21148,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4969, 805, 823, 4429, 4441, 21147, 21141])).
% 135.79/86.50 tff(21149,plain,(v107(constB125) | (~v94(constB124))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.50 tff(21150,plain,
% 135.79/86.50 (~v94(constB124)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21149, 21109])).
% 135.79/86.50 tff(21151,plain,
% 135.79/86.50 (~v145(constB125)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4584, 21150])).
% 135.79/86.50 tff(21152,plain,
% 135.79/86.50 (~v94(constB124)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21149, 4781])).
% 135.79/86.50 tff(21153,plain,
% 135.79/86.50 (v84(constB124, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4065, 21152])).
% 135.79/86.50 tff(21154,plain,
% 135.79/86.50 (v84(constB125, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4504, 21153])).
% 135.79/86.50 tff(21155,plain,
% 135.79/86.50 (v84(constB126, bitIndex1)),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[4614, 21154, 4603])).
% 135.79/86.50 tff(21156,assumption,(~v84(constB127, bitIndex1)), introduced(assumption)).
% 135.79/86.50 tff(21157,plain,
% 135.79/86.50 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex1)) | v84(constB127, bitIndex1) | (~v84(constB126, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex1)) | v84(constB127, bitIndex1) | (~v84(constB126, bitIndex1)))),
% 135.79/86.50 inference(rewrite,[status(thm)],[])).
% 135.79/86.50 tff(21158,plain,
% 135.79/86.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex1)) | v84(constB127, bitIndex1) | (~v84(constB126, bitIndex1)))),
% 135.79/86.50 inference(quant_inst,[status(thm)],[])).
% 135.79/86.50 tff(21159,plain,
% 135.79/86.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex1)) | v84(constB127, bitIndex1) | (~v84(constB126, bitIndex1))),
% 135.79/86.50 inference(modus_ponens,[status(thm)],[21158, 21157])).
% 135.79/86.50 tff(21160,plain,
% 135.79/86.50 ($false),
% 135.79/86.50 inference(unit_resolution,[status(thm)],[21159, 777, 823, 4678, 4690, 5055, 21156])).
% 135.79/86.51 tff(21161,plain,(v84(constB127, bitIndex1) | (~v84(constB126, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.51 tff(21162,plain,
% 135.79/86.51 (v84(constB127, bitIndex1)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21161, 21155])).
% 135.79/86.51 tff(21163,plain,
% 135.79/86.51 (v84(constB126, bitIndex2)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[5026, 4603])).
% 135.79/86.51 tff(21164,assumption,(~v84(constB127, bitIndex2)), introduced(assumption)).
% 135.79/86.51 tff(21165,plain,
% 135.79/86.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex2)) | v84(constB127, bitIndex2) | (~v84(constB126, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex2)) | v84(constB127, bitIndex2) | (~v84(constB126, bitIndex2)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21166,plain,
% 135.79/86.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex2)) | v84(constB127, bitIndex2) | (~v84(constB126, bitIndex2)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21167,plain,
% 135.79/86.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex2)) | v84(constB127, bitIndex2) | (~v84(constB126, bitIndex2))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21166, 21165])).
% 135.79/86.51 tff(21168,plain,
% 135.79/86.51 ($false),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21167, 777, 767, 4678, 4690, 5028, 21164])).
% 135.79/86.51 tff(21169,plain,(v84(constB127, bitIndex2) | (~v84(constB126, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.51 tff(21170,plain,
% 135.79/86.51 (v84(constB127, bitIndex2)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21169, 21163])).
% 135.79/86.51 tff(21171,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB127)) | (~v84(constB127, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB127)) | (~v84(constB127, bitIndex2)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21172,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB127)) | (~v84(constB127, bitIndex2)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21173,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB127)) | (~v84(constB127, bitIndex2))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21172, 21171])).
% 135.79/86.51 tff(21174,plain,
% 135.79/86.51 (~v113(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21173, 1119, 21170])).
% 135.79/86.51 tff(21175,assumption,(v145(constB127)), introduced(assumption)).
% 135.79/86.51 tff(21176,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB127, bitIndex2)) | (~v145(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB127, bitIndex2)) | (~v145(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21177,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB127, bitIndex2)) | (~v145(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21178,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB127, bitIndex2)) | (~v145(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21177, 21176])).
% 135.79/86.51 tff(21179,plain,
% 135.79/86.51 (~v84(constB127, bitIndex2)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21178, 725, 21175])).
% 135.79/86.51 tff(21180,plain,
% 135.79/86.51 (~v84(constB126, bitIndex2)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21167, 777, 767, 4678, 4690, 21179])).
% 135.79/86.51 tff(21181,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB127, bitIndex0) | (~v145(constB127)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB127, bitIndex0) | (~v145(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21182,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB127, bitIndex0) | (~v145(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21183,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB127, bitIndex0) | (~v145(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21182, 21181])).
% 135.79/86.51 tff(21184,plain,
% 135.79/86.51 (v84(constB127, bitIndex0)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21183, 788, 21175])).
% 135.79/86.51 tff(21185,plain,
% 135.79/86.51 (v84(constB126, bitIndex0)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[4731, 805, 795, 4678, 4690, 21184])).
% 135.79/86.51 tff(21186,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB127, bitIndex1)) | (~v145(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB127, bitIndex1)) | (~v145(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21187,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB127, bitIndex1)) | (~v145(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21188,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB127, bitIndex1)) | (~v145(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21187, 21186])).
% 135.79/86.51 tff(21189,plain,
% 135.79/86.51 (~v84(constB127, bitIndex1)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21188, 816, 21175])).
% 135.79/86.51 tff(21190,plain,
% 135.79/86.51 (~v84(constB126, bitIndex1)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21159, 777, 823, 4678, 4690, 21189])).
% 135.79/86.51 tff(21191,plain,
% 135.79/86.51 (v94(constB126) | (~v84(constB125, bitIndex2))),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[4813, 777, 767, 4606, 4806])).
% 135.79/86.51 tff(21192,plain,
% 135.79/86.51 (~v84(constB125, bitIndex2)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21191, 4603])).
% 135.79/86.51 tff(21193,plain,
% 135.79/86.51 (v94(constB126) | (~v84(constB125, bitIndex1))),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[4612, 777, 823, 4606, 4601])).
% 135.79/86.51 tff(21194,plain,
% 135.79/86.51 (~v84(constB125, bitIndex1)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21193, 4603])).
% 135.79/86.51 tff(21195,plain,
% 135.79/86.51 ($false),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[4864, 21194, 5051, 21192])).
% 135.79/86.51 tff(21196,plain,(v94(constB126) | v145(constB125) | v84(constB126, bitIndex1) | v84(constB126, bitIndex2) | (~v84(constB126, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.51 tff(21197,plain,
% 135.79/86.51 ($false),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21196, 21190, 21185, 4603, 21180, 4821])).
% 135.79/86.51 tff(21198,plain,((~v145(constB127)) | v94(constB126) | v145(constB125)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.51 tff(21199,plain,
% 135.79/86.51 (~v145(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21198, 4603, 4821])).
% 135.79/86.51 tff(21200,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB127)) | v145(constB127) | v113(constB127))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB127)) | v145(constB127) | v113(constB127))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21201,plain,
% 135.79/86.51 ((v113(constB127) | (~v112(constB127)) | v145(constB127)) <=> ((~v112(constB127)) | v145(constB127) | v113(constB127))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21202,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB127) | (~v112(constB127)) | v145(constB127))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB127)) | v145(constB127) | v113(constB127)))),
% 135.79/86.51 inference(monotonicity,[status(thm)],[21201])).
% 135.79/86.51 tff(21203,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB127) | (~v112(constB127)) | v145(constB127))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB127)) | v145(constB127) | v113(constB127))),
% 135.79/86.51 inference(transitivity,[status(thm)],[21202, 21200])).
% 135.79/86.51 tff(21204,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB127) | (~v112(constB127)) | v145(constB127))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21205,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB127)) | v145(constB127) | v113(constB127)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 135.79/86.51 tff(21206,plain,
% 135.79/86.51 ((~v112(constB127)) | v113(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21205, 2894, 21199])).
% 135.79/86.51 tff(21207,plain,
% 135.79/86.51 (~v112(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21206, 21174])).
% 135.79/86.51 tff(21208,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB127, bitIndex2)) | (~v115(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB127, bitIndex2)) | (~v115(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21209,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB127, bitIndex2)) | (~v115(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21210,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB127, bitIndex2)) | (~v115(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 135.79/86.51 tff(21211,plain,
% 135.79/86.51 (~v115(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21210, 2665, 21170])).
% 135.79/86.51 tff(21212,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB127) | v115(constB127) | (~v111(constB127)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB127) | v115(constB127) | (~v111(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21213,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB127) | v115(constB127) | (~v111(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21214,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB127) | v115(constB127) | (~v111(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21213, 21212])).
% 135.79/86.51 tff(21215,plain,
% 135.79/86.51 (~v111(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21214, 2911, 21211, 21207])).
% 135.79/86.51 tff(21216,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB127, bitIndex2)) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB127, bitIndex2)) | (~v116(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21217,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB127, bitIndex2)) | (~v116(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21218,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB127, bitIndex2)) | (~v116(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21217, 21216])).
% 135.79/86.51 tff(21219,plain,
% 135.79/86.51 (~v116(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21218, 1130, 21170])).
% 135.79/86.51 tff(21220,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB127) | v116(constB127) | (~v110(constB127)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB127) | v116(constB127) | (~v110(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21221,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB127) | v116(constB127) | (~v110(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21222,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB127) | v116(constB127) | (~v110(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21221, 21220])).
% 135.79/86.51 tff(21223,plain,
% 135.79/86.51 (v111(constB127) | (~v110(constB127))),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21222, 2932, 21219])).
% 135.79/86.51 tff(21224,plain,
% 135.79/86.51 (~v110(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21223, 21215])).
% 135.79/86.51 tff(21225,plain,
% 135.79/86.51 (v84(constB127, bitIndex0)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[4725, 21152])).
% 135.79/86.51 tff(21226,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB127, bitIndex0)) | (~v172(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB127, bitIndex0)) | (~v172(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21227,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB127, bitIndex0)) | (~v172(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21228,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB127, bitIndex0)) | (~v172(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21227, 21226])).
% 135.79/86.51 tff(21229,plain,
% 135.79/86.51 (~v172(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21228, 7708, 21225])).
% 135.79/86.51 tff(21230,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB127)) | v172(constB127) | v110(constB127))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB127)) | v172(constB127) | v110(constB127))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21231,plain,
% 135.79/86.51 ((v110(constB127) | (~v109(constB127)) | v172(constB127)) <=> ((~v109(constB127)) | v172(constB127) | v110(constB127))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21232,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB127) | (~v109(constB127)) | v172(constB127))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB127)) | v172(constB127) | v110(constB127)))),
% 135.79/86.51 inference(monotonicity,[status(thm)],[21231])).
% 135.79/86.51 tff(21233,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB127) | (~v109(constB127)) | v172(constB127))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB127)) | v172(constB127) | v110(constB127))),
% 135.79/86.51 inference(transitivity,[status(thm)],[21232, 21230])).
% 135.79/86.51 tff(21234,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB127) | (~v109(constB127)) | v172(constB127))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21235,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB127)) | v172(constB127) | v110(constB127)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21234, 21233])).
% 135.79/86.51 tff(21236,plain,
% 135.79/86.51 (~v109(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21235, 2871, 21229, 21224])).
% 135.79/86.51 tff(21237,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB127, bitIndex1)) | (~v118(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB127, bitIndex1)) | (~v118(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21238,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB127, bitIndex1)) | (~v118(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21239,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB127, bitIndex1)) | (~v118(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21238, 21237])).
% 135.79/86.51 tff(21240,plain,
% 135.79/86.51 (~v118(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21239, 2842, 21162])).
% 135.79/86.51 tff(21241,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB127) | v118(constB127) | (~v108(constB127)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB127) | v118(constB127) | (~v108(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21242,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB127) | v118(constB127) | (~v108(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21243,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB127) | v118(constB127) | (~v108(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21242, 21241])).
% 135.79/86.51 tff(21244,plain,
% 135.79/86.51 (~v108(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21243, 2856, 21240, 21236])).
% 135.79/86.51 tff(21245,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB127)) | (~v84(constB127, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB127)) | (~v84(constB127, bitIndex0)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21246,plain,
% 135.79/86.51 (((~v84(constB127, bitIndex0)) | (~v119(constB127))) <=> ((~v119(constB127)) | (~v84(constB127, bitIndex0)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21247,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB127, bitIndex0)) | (~v119(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB127)) | (~v84(constB127, bitIndex0))))),
% 135.79/86.51 inference(monotonicity,[status(thm)],[21246])).
% 135.79/86.51 tff(21248,plain,
% 135.79/86.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB127, bitIndex0)) | (~v119(constB127)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB127)) | (~v84(constB127, bitIndex0)))),
% 135.79/86.51 inference(transitivity,[status(thm)],[21247, 21245])).
% 135.79/86.51 tff(21249,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB127, bitIndex0)) | (~v119(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21250,plain,
% 135.79/86.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB127)) | (~v84(constB127, bitIndex0))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21249, 21248])).
% 135.79/86.51 tff(21251,plain,
% 135.79/86.51 (~v119(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21250, 3173, 21225])).
% 135.79/86.51 tff(21252,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB127) | v119(constB127) | (~v107(constB127)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB127) | v119(constB127) | (~v107(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21253,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB127) | v119(constB127) | (~v107(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21254,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB127) | v119(constB127) | (~v107(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 135.79/86.51 tff(21255,plain,
% 135.79/86.51 (v108(constB127) | (~v107(constB127))),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21254, 3195, 21251])).
% 135.79/86.51 tff(21256,plain,
% 135.79/86.51 (~v107(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21255, 21244])).
% 135.79/86.51 tff(21257,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB127) | (~v106(constB127)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB127) | (~v106(constB127)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21258,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB127) | (~v106(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21259,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB127) | (~v106(constB127))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21258, 21257])).
% 135.79/86.51 tff(21260,plain,
% 135.79/86.51 (~v106(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21259, 3161, 21256])).
% 135.79/86.51 tff(21261,assumption,(v26(constB127)), introduced(assumption)).
% 135.79/86.51 tff(21262,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21263,plain,
% 135.79/86.51 ($false),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21262, 1172, 21261])).
% 135.79/86.51 tff(21264,plain,(~v26(constB127)), inference(lemma,lemma(discharge,[]))).
% 135.79/86.51 tff(21265,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB127)) | v26(constB127) | v106(constB127))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB127)) | v26(constB127) | v106(constB127))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21266,plain,
% 135.79/86.51 ((v26(constB127) | v106(constB127) | (~v102(constB127))) <=> ((~v102(constB127)) | v26(constB127) | v106(constB127))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21267,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB127) | v106(constB127) | (~v102(constB127)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB127)) | v26(constB127) | v106(constB127)))),
% 135.79/86.51 inference(monotonicity,[status(thm)],[21266])).
% 135.79/86.51 tff(21268,plain,
% 135.79/86.51 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB127) | v106(constB127) | (~v102(constB127)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB127)) | v26(constB127) | v106(constB127))),
% 135.79/86.51 inference(transitivity,[status(thm)],[21267, 21265])).
% 135.79/86.51 tff(21269,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB127) | v106(constB127) | (~v102(constB127)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21270,plain,
% 135.79/86.51 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB127)) | v26(constB127) | v106(constB127)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 135.79/86.51 tff(21271,plain,
% 135.79/86.51 ((~v102(constB127)) | v106(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21270, 3146, 21264])).
% 135.79/86.51 tff(21272,plain,
% 135.79/86.51 (~v102(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21271, 21260])).
% 135.79/86.51 tff(21273,plain,
% 135.79/86.51 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21274,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_127_1')).
% 135.79/86.51 tff(21275,plain,
% 135.79/86.51 (nextState(constB127, constB128)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21274, 21273])).
% 135.79/86.51 tff(21276,plain,
% 135.79/86.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB127, constB128)) | (~v104(constB128)) | v102(constB127))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB127, constB128)) | (~v104(constB128)) | v102(constB127))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21277,plain,
% 135.79/86.51 (((~nextState(constB127, constB128)) | v102(constB127) | (~v104(constB128))) <=> ((~nextState(constB127, constB128)) | (~v104(constB128)) | v102(constB127))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21278,plain,
% 135.79/86.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB127, constB128)) | v102(constB127) | (~v104(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB127, constB128)) | (~v104(constB128)) | v102(constB127)))),
% 135.79/86.51 inference(monotonicity,[status(thm)],[21277])).
% 135.79/86.51 tff(21279,plain,
% 135.79/86.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB127, constB128)) | v102(constB127) | (~v104(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB127, constB128)) | (~v104(constB128)) | v102(constB127))),
% 135.79/86.51 inference(transitivity,[status(thm)],[21278, 21276])).
% 135.79/86.51 tff(21280,plain,
% 135.79/86.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB127, constB128)) | v102(constB127) | (~v104(constB128)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21281,plain,
% 135.79/86.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB127, constB128)) | (~v104(constB128)) | v102(constB127)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21280, 21279])).
% 135.79/86.51 tff(21282,plain,
% 135.79/86.51 ((~v104(constB128)) | v102(constB127)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21281, 3128, 21275])).
% 135.79/86.51 tff(21283,plain,
% 135.79/86.51 (~v104(constB128)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21282, 21272])).
% 135.79/86.51 tff(21284,plain,
% 135.79/86.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v94(constB128)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v94(constB128)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21285,plain,
% 135.79/86.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB127, constB128)) | v104(constB128) | (~v94(constB128)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21286,plain,
% 135.79/86.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB127, constB128)) | v104(constB128) | (~v94(constB128))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21285, 21284])).
% 135.79/86.51 tff(21287,plain,
% 135.79/86.51 (v104(constB128) | (~v94(constB128))),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21286, 3113, 21275])).
% 135.79/86.51 tff(21288,plain,
% 135.79/86.51 (~v94(constB128)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21287, 21283])).
% 135.79/86.51 tff(21289,assumption,(v84(constB127, bitIndex1)), introduced(assumption)).
% 135.79/86.51 tff(21290,assumption,(~v84(constB128, bitIndex1)), introduced(assumption)).
% 135.79/86.51 tff(21291,assumption,(~v94(constB128)), introduced(assumption)).
% 135.79/86.51 tff(21292,plain,
% 135.79/86.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | (~v84(constB127, bitIndex1)) | v84(constB128, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | (~v84(constB127, bitIndex1)) | v84(constB128, bitIndex1))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21293,plain,
% 135.79/86.51 (((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | v84(constB128, bitIndex1) | (~v84(constB127, bitIndex1))) <=> ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | (~v84(constB127, bitIndex1)) | v84(constB128, bitIndex1))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21294,plain,
% 135.79/86.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | v84(constB128, bitIndex1) | (~v84(constB127, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | (~v84(constB127, bitIndex1)) | v84(constB128, bitIndex1)))),
% 135.79/86.51 inference(monotonicity,[status(thm)],[21293])).
% 135.79/86.51 tff(21295,plain,
% 135.79/86.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | v84(constB128, bitIndex1) | (~v84(constB127, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | (~v84(constB127, bitIndex1)) | v84(constB128, bitIndex1))),
% 135.79/86.51 inference(transitivity,[status(thm)],[21294, 21292])).
% 135.79/86.51 tff(21296,plain,
% 135.79/86.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | v84(constB128, bitIndex1) | (~v84(constB127, bitIndex1)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21297,plain,
% 135.79/86.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex1)) | (~v84(constB127, bitIndex1)) | v84(constB128, bitIndex1)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21296, 21295])).
% 135.79/86.51 tff(21298,plain,
% 135.79/86.51 ($false),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21297, 777, 823, 21275, 21291, 21290, 21289])).
% 135.79/86.51 tff(21299,plain,(v84(constB128, bitIndex1) | v94(constB128) | (~v84(constB127, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.79/86.51 tff(21300,plain,
% 135.79/86.51 (v84(constB128, bitIndex1)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21299, 21288, 21162])).
% 135.79/86.51 tff(21301,assumption,(~v84(constB129, bitIndex1)), introduced(assumption)).
% 135.79/86.51 tff(21302,assumption,(v84(constB128, bitIndex1)), introduced(assumption)).
% 135.79/86.51 tff(21303,plain,
% 135.79/86.51 ((~v1(constB129)) <=> (~v1(constB129))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21304,axiom,(~v1(constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_129_1_1')).
% 135.79/86.51 tff(21305,plain,
% 135.79/86.51 (~v1(constB129)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21304, 21303])).
% 135.79/86.51 tff(21306,plain,
% 135.79/86.51 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21307,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_128_1')).
% 135.79/86.51 tff(21308,plain,
% 135.79/86.51 (nextState(constB128, constB129)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21307, 21306])).
% 135.79/86.51 tff(21309,plain,
% 135.79/86.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21310,plain,
% 135.79/86.51 (((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129)) <=> (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21311,plain,
% 135.79/86.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))))),
% 135.79/86.51 inference(monotonicity,[status(thm)],[21310])).
% 135.79/86.51 tff(21312,plain,
% 135.79/86.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129)))),
% 135.79/86.51 inference(transitivity,[status(thm)],[21311, 21309])).
% 135.79/86.51 tff(21313,plain,
% 135.79/86.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB128, constB129)) | (~v95(constB129)) | v1(constB129))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21314,plain,
% 135.79/86.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB129) | (~nextState(constB128, constB129)) | (~v95(constB129))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 135.79/86.51 tff(21315,plain,
% 135.79/86.51 (~v95(constB129)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21314, 742, 21308, 21305])).
% 135.79/86.51 tff(21316,plain,
% 135.79/86.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21317,plain,
% 135.79/86.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21318,plain,
% 135.79/86.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB128, constB129)) | v95(constB129) | (~v94(constB129))),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21317, 21316])).
% 135.79/86.51 tff(21319,plain,
% 135.79/86.51 (v95(constB129) | (~v94(constB129))),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21318, 759, 21308])).
% 135.79/86.51 tff(21320,plain,
% 135.79/86.51 (~v94(constB129)),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21319, 21315])).
% 135.79/86.51 tff(21321,plain,
% 135.79/86.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | (~v84(constB128, bitIndex1)) | v84(constB129, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | (~v84(constB128, bitIndex1)) | v84(constB129, bitIndex1))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21322,plain,
% 135.79/86.51 (((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | v84(constB129, bitIndex1) | (~v84(constB128, bitIndex1))) <=> ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | (~v84(constB128, bitIndex1)) | v84(constB129, bitIndex1))),
% 135.79/86.51 inference(rewrite,[status(thm)],[])).
% 135.79/86.51 tff(21323,plain,
% 135.79/86.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | v84(constB129, bitIndex1) | (~v84(constB128, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | (~v84(constB128, bitIndex1)) | v84(constB129, bitIndex1)))),
% 135.79/86.51 inference(monotonicity,[status(thm)],[21322])).
% 135.79/86.51 tff(21324,plain,
% 135.79/86.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | v84(constB129, bitIndex1) | (~v84(constB128, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | (~v84(constB128, bitIndex1)) | v84(constB129, bitIndex1))),
% 135.79/86.51 inference(transitivity,[status(thm)],[21323, 21321])).
% 135.79/86.51 tff(21325,plain,
% 135.79/86.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | v84(constB129, bitIndex1) | (~v84(constB128, bitIndex1)))),
% 135.79/86.51 inference(quant_inst,[status(thm)],[])).
% 135.79/86.51 tff(21326,plain,
% 135.79/86.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex1)) | (~v84(constB128, bitIndex1)) | v84(constB129, bitIndex1)),
% 135.79/86.51 inference(modus_ponens,[status(thm)],[21325, 21324])).
% 135.79/86.51 tff(21327,plain,
% 135.79/86.51 ($false),
% 135.79/86.51 inference(unit_resolution,[status(thm)],[21326, 777, 823, 21308, 21320, 21302, 21301])).
% 135.79/86.51 tff(21328,plain,(v84(constB129, bitIndex1) | (~v84(constB128, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.52 tff(21329,plain,
% 135.88/86.52 (v84(constB129, bitIndex1)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21328, 21300])).
% 135.88/86.52 tff(21330,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB129)) | (~v84(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB129)) | (~v84(constB129, bitIndex1)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21331,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB129)) | (~v84(constB129, bitIndex1)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21332,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB129)) | (~v84(constB129, bitIndex1))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21331, 21330])).
% 135.88/86.52 tff(21333,plain,
% 135.88/86.52 (~v113(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21332, 1465, 21329])).
% 135.88/86.52 tff(21334,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB129)) | (~v84(constB129, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB129)) | (~v84(constB129, bitIndex1)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21335,plain,
% 135.88/86.52 (((~v84(constB129, bitIndex1)) | (~v145(constB129))) <=> ((~v145(constB129)) | (~v84(constB129, bitIndex1)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21336,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v145(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB129)) | (~v84(constB129, bitIndex1))))),
% 135.88/86.52 inference(monotonicity,[status(thm)],[21335])).
% 135.88/86.52 tff(21337,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v145(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB129)) | (~v84(constB129, bitIndex1)))),
% 135.88/86.52 inference(transitivity,[status(thm)],[21336, 21334])).
% 135.88/86.52 tff(21338,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v145(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21339,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB129)) | (~v84(constB129, bitIndex1))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21338, 21337])).
% 135.88/86.52 tff(21340,plain,
% 135.88/86.52 (~v145(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21339, 816, 21329])).
% 135.88/86.52 tff(21341,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB129) | v113(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB129) | v113(constB129) | (~v112(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21342,plain,
% 135.88/86.52 ((v113(constB129) | (~v112(constB129)) | v145(constB129)) <=> (v145(constB129) | v113(constB129) | (~v112(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21343,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB129) | (~v112(constB129)) | v145(constB129))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB129) | v113(constB129) | (~v112(constB129))))),
% 135.88/86.52 inference(monotonicity,[status(thm)],[21342])).
% 135.88/86.52 tff(21344,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB129) | (~v112(constB129)) | v145(constB129))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB129) | v113(constB129) | (~v112(constB129)))),
% 135.88/86.52 inference(transitivity,[status(thm)],[21343, 21341])).
% 135.88/86.52 tff(21345,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB129) | (~v112(constB129)) | v145(constB129))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21346,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB129) | v113(constB129) | (~v112(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21345, 21344])).
% 135.88/86.52 tff(21347,plain,
% 135.88/86.52 (~v112(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21346, 2894, 21340, 21333])).
% 135.88/86.52 tff(21348,assumption,(~v84(constB128, bitIndex0)), introduced(assumption)).
% 135.88/86.52 tff(21349,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB128, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB128, bitIndex0))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21350,plain,
% 135.88/86.52 (((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | v84(constB128, bitIndex0) | (~v84(constB127, bitIndex0))) <=> ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB128, bitIndex0))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21351,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | v84(constB128, bitIndex0) | (~v84(constB127, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB128, bitIndex0)))),
% 135.88/86.52 inference(monotonicity,[status(thm)],[21350])).
% 135.88/86.52 tff(21352,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | v84(constB128, bitIndex0) | (~v84(constB127, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB128, bitIndex0))),
% 135.88/86.52 inference(transitivity,[status(thm)],[21351, 21349])).
% 135.88/86.52 tff(21353,plain,
% 135.88/86.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | v84(constB128, bitIndex0) | (~v84(constB127, bitIndex0)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21354,plain,
% 135.88/86.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex0)) | (~v84(constB127, bitIndex0)) | v84(constB128, bitIndex0)),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21353, 21352])).
% 135.88/86.52 tff(21355,plain,
% 135.88/86.52 ($false),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21354, 777, 795, 21275, 21291, 21348, 4727])).
% 135.88/86.52 tff(21356,plain,(v84(constB128, bitIndex0) | v94(constB128) | (~v84(constB127, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.52 tff(21357,plain,
% 135.88/86.52 (v84(constB128, bitIndex0)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21356, 21288, 21225])).
% 135.88/86.52 tff(21358,assumption,(~v84(constB129, bitIndex0)), introduced(assumption)).
% 135.88/86.52 tff(21359,assumption,(v84(constB128, bitIndex0)), introduced(assumption)).
% 135.88/86.52 tff(21360,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | (~v84(constB128, bitIndex0)) | v84(constB129, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | (~v84(constB128, bitIndex0)) | v84(constB129, bitIndex0))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21361,plain,
% 135.88/86.52 (((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | v84(constB129, bitIndex0) | (~v84(constB128, bitIndex0))) <=> ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | (~v84(constB128, bitIndex0)) | v84(constB129, bitIndex0))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21362,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | v84(constB129, bitIndex0) | (~v84(constB128, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | (~v84(constB128, bitIndex0)) | v84(constB129, bitIndex0)))),
% 135.88/86.52 inference(monotonicity,[status(thm)],[21361])).
% 135.88/86.52 tff(21363,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | v84(constB129, bitIndex0) | (~v84(constB128, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | (~v84(constB128, bitIndex0)) | v84(constB129, bitIndex0))),
% 135.88/86.52 inference(transitivity,[status(thm)],[21362, 21360])).
% 135.88/86.52 tff(21364,plain,
% 135.88/86.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | v84(constB129, bitIndex0) | (~v84(constB128, bitIndex0)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21365,plain,
% 135.88/86.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex0)) | (~v84(constB128, bitIndex0)) | v84(constB129, bitIndex0)),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21364, 21363])).
% 135.88/86.52 tff(21366,plain,
% 135.88/86.52 ($false),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21365, 777, 795, 21308, 21320, 21359, 21358])).
% 135.88/86.52 tff(21367,plain,(v84(constB129, bitIndex0) | (~v84(constB128, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.52 tff(21368,plain,
% 135.88/86.52 (v84(constB129, bitIndex0)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21367, 21357])).
% 135.88/86.52 tff(21369,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB129, bitIndex0)) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB129, bitIndex0)) | (~v115(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21370,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB129, bitIndex0)) | (~v115(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21371,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB129, bitIndex0)) | (~v115(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21370, 21369])).
% 135.88/86.52 tff(21372,plain,
% 135.88/86.52 (~v115(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21371, 3011, 21368])).
% 135.88/86.52 tff(21373,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB129) | v115(constB129) | (~v111(constB129)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB129) | v115(constB129) | (~v111(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21374,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB129) | v115(constB129) | (~v111(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21375,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB129) | v115(constB129) | (~v111(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 135.88/86.52 tff(21376,plain,
% 135.88/86.52 (~v111(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21375, 2911, 21372, 21347])).
% 135.88/86.52 tff(21377,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB129, bitIndex0)) | (~v119(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB129, bitIndex0)) | (~v119(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21378,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB129, bitIndex0)) | (~v119(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21379,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB129, bitIndex0)) | (~v119(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21378, 21377])).
% 135.88/86.52 tff(21380,plain,
% 135.88/86.52 (~v119(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21379, 3173, 21368])).
% 135.88/86.52 tff(21381,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB129) | v119(constB129) | (~v107(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB129) | v119(constB129) | (~v107(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21382,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB129) | v119(constB129) | (~v107(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21383,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB129) | v119(constB129) | (~v107(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21382, 21381])).
% 135.88/86.52 tff(21384,plain,
% 135.88/86.52 (v108(constB129) | v119(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21383, 3195, 21110])).
% 135.88/86.52 tff(21385,plain,
% 135.88/86.52 (v108(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21384, 21380])).
% 135.88/86.52 tff(21386,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v118(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB129, bitIndex1)) | (~v118(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21387,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v118(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21388,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB129, bitIndex1)) | (~v118(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21387, 21386])).
% 135.88/86.52 tff(21389,plain,
% 135.88/86.52 (~v118(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21388, 2842, 21329])).
% 135.88/86.52 tff(21390,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB129) | v118(constB129) | (~v108(constB129)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB129) | v118(constB129) | (~v108(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21391,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB129) | v118(constB129) | (~v108(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21392,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB129) | v118(constB129) | (~v108(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21391, 21390])).
% 135.88/86.52 tff(21393,plain,
% 135.88/86.52 (v109(constB129) | (~v108(constB129))),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21392, 2856, 21389])).
% 135.88/86.52 tff(21394,plain,
% 135.88/86.52 (v109(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21393, 21385])).
% 135.88/86.52 tff(21395,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v172(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB129, bitIndex1)) | (~v172(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21396,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB129, bitIndex1)) | (~v172(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21397,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB129, bitIndex1)) | (~v172(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21396, 21395])).
% 135.88/86.52 tff(21398,plain,
% 135.88/86.52 (~v172(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21397, 2289, 21329])).
% 135.88/86.52 tff(21399,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB129)) | v172(constB129) | v110(constB129))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB129)) | v172(constB129) | v110(constB129))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21400,plain,
% 135.88/86.52 ((v110(constB129) | (~v109(constB129)) | v172(constB129)) <=> ((~v109(constB129)) | v172(constB129) | v110(constB129))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21401,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB129) | (~v109(constB129)) | v172(constB129))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB129)) | v172(constB129) | v110(constB129)))),
% 135.88/86.52 inference(monotonicity,[status(thm)],[21400])).
% 135.88/86.52 tff(21402,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB129) | (~v109(constB129)) | v172(constB129))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB129)) | v172(constB129) | v110(constB129))),
% 135.88/86.52 inference(transitivity,[status(thm)],[21401, 21399])).
% 135.88/86.52 tff(21403,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB129) | (~v109(constB129)) | v172(constB129))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21404,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB129)) | v172(constB129) | v110(constB129)),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21403, 21402])).
% 135.88/86.52 tff(21405,plain,
% 135.88/86.52 ((~v109(constB129)) | v110(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21404, 2871, 21398])).
% 135.88/86.52 tff(21406,plain,
% 135.88/86.52 (v110(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21405, 21394])).
% 135.88/86.52 tff(21407,assumption,(v84(constB127, bitIndex2)), introduced(assumption)).
% 135.88/86.52 tff(21408,assumption,(~v84(constB128, bitIndex2)), introduced(assumption)).
% 135.88/86.52 tff(21409,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB128, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB128, bitIndex2))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21410,plain,
% 135.88/86.52 (((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | v84(constB128, bitIndex2) | (~v84(constB127, bitIndex2))) <=> ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB128, bitIndex2))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21411,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | v84(constB128, bitIndex2) | (~v84(constB127, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB128, bitIndex2)))),
% 135.88/86.52 inference(monotonicity,[status(thm)],[21410])).
% 135.88/86.52 tff(21412,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | v84(constB128, bitIndex2) | (~v84(constB127, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB128, bitIndex2))),
% 135.88/86.52 inference(transitivity,[status(thm)],[21411, 21409])).
% 135.88/86.52 tff(21413,plain,
% 135.88/86.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | v84(constB128, bitIndex2) | (~v84(constB127, bitIndex2)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21414,plain,
% 135.88/86.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB127, constB128)) | v94(constB128) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB128, bitIndex2)),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21413, 21412])).
% 135.88/86.52 tff(21415,plain,
% 135.88/86.52 ($false),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21414, 777, 767, 21275, 21291, 21408, 21407])).
% 135.88/86.52 tff(21416,plain,(v84(constB128, bitIndex2) | v94(constB128) | (~v84(constB127, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.52 tff(21417,plain,
% 135.88/86.52 (v84(constB128, bitIndex2)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21416, 21288, 21170])).
% 135.88/86.52 tff(21418,assumption,(~v84(constB129, bitIndex2)), introduced(assumption)).
% 135.88/86.52 tff(21419,assumption,(v84(constB128, bitIndex2)), introduced(assumption)).
% 135.88/86.52 tff(21420,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | (~v84(constB128, bitIndex2)) | v84(constB129, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | (~v84(constB128, bitIndex2)) | v84(constB129, bitIndex2))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21421,plain,
% 135.88/86.52 (((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | v84(constB129, bitIndex2) | (~v84(constB128, bitIndex2))) <=> ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | (~v84(constB128, bitIndex2)) | v84(constB129, bitIndex2))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21422,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | v84(constB129, bitIndex2) | (~v84(constB128, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | (~v84(constB128, bitIndex2)) | v84(constB129, bitIndex2)))),
% 135.88/86.52 inference(monotonicity,[status(thm)],[21421])).
% 135.88/86.52 tff(21423,plain,
% 135.88/86.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | v84(constB129, bitIndex2) | (~v84(constB128, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | (~v84(constB128, bitIndex2)) | v84(constB129, bitIndex2))),
% 135.88/86.52 inference(transitivity,[status(thm)],[21422, 21420])).
% 135.88/86.52 tff(21424,plain,
% 135.88/86.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | v84(constB129, bitIndex2) | (~v84(constB128, bitIndex2)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21425,plain,
% 135.88/86.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB128, constB129)) | v94(constB129) | (~less_3(bitIndex2)) | (~v84(constB128, bitIndex2)) | v84(constB129, bitIndex2)),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21424, 21423])).
% 135.88/86.52 tff(21426,plain,
% 135.88/86.52 ($false),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21425, 777, 767, 21308, 21320, 21419, 21418])).
% 135.88/86.52 tff(21427,plain,(v84(constB129, bitIndex2) | (~v84(constB128, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.52 tff(21428,plain,
% 135.88/86.52 (v84(constB129, bitIndex2)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21427, 21417])).
% 135.88/86.52 tff(21429,plain,
% 135.88/86.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB129, bitIndex2)) | (~v116(constB129)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB129, bitIndex2)) | (~v116(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21430,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB129, bitIndex2)) | (~v116(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21431,plain,
% 135.88/86.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB129, bitIndex2)) | (~v116(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21430, 21429])).
% 135.88/86.52 tff(21432,plain,
% 135.88/86.52 (~v116(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21431, 1130, 21428])).
% 135.88/86.52 tff(21433,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB129) | v116(constB129) | (~v110(constB129)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB129) | v116(constB129) | (~v110(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21434,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB129) | v116(constB129) | (~v110(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21435,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB129) | v116(constB129) | (~v110(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21434, 21433])).
% 135.88/86.52 tff(21436,plain,
% 135.88/86.52 ($false),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21435, 2932, 21432, 21406, 21376])).
% 135.88/86.52 tff(21437,plain,(v94(constB126) | (~v107(constB129)) | v145(constB125)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.52 tff(21438,plain,
% 135.88/86.52 (v94(constB126)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21437, 21151, 21110])).
% 135.88/86.52 tff(21439,plain,
% 135.88/86.52 (v104(constB126)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[4619, 21438])).
% 135.88/86.52 tff(21440,plain,
% 135.88/86.52 (v102(constB125)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[4627, 21439])).
% 135.88/86.52 tff(21441,plain,
% 135.88/86.52 (v106(constB125)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[4639, 21440])).
% 135.88/86.52 tff(21442,plain,
% 135.88/86.52 ($false),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[4643, 3161, 21441, 21109])).
% 135.88/86.52 tff(21443,plain,(v107(constB125) | (~v107(constB129))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.52 tff(21444,plain,
% 135.88/86.52 (~v107(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21443, 4600])).
% 135.88/86.52 tff(21445,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB129) | (~v106(constB129)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB129) | (~v106(constB129)))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21446,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB129) | (~v106(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21447,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB129) | (~v106(constB129))),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21446, 21445])).
% 135.88/86.52 tff(21448,plain,
% 135.88/86.52 (~v106(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21447, 3161, 21444])).
% 135.88/86.52 tff(21449,assumption,(v26(constB129)), introduced(assumption)).
% 135.88/86.52 tff(21450,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21451,plain,
% 135.88/86.52 ($false),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21450, 1172, 21449])).
% 135.88/86.52 tff(21452,plain,(~v26(constB129)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.52 tff(21453,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB129)) | v26(constB129) | v106(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB129)) | v26(constB129) | v106(constB129))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21454,plain,
% 135.88/86.52 ((v26(constB129) | v106(constB129) | (~v102(constB129))) <=> ((~v102(constB129)) | v26(constB129) | v106(constB129))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21455,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB129) | v106(constB129) | (~v102(constB129)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB129)) | v26(constB129) | v106(constB129)))),
% 135.88/86.52 inference(monotonicity,[status(thm)],[21454])).
% 135.88/86.52 tff(21456,plain,
% 135.88/86.52 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB129) | v106(constB129) | (~v102(constB129)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB129)) | v26(constB129) | v106(constB129))),
% 135.88/86.52 inference(transitivity,[status(thm)],[21455, 21453])).
% 135.88/86.52 tff(21457,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB129) | v106(constB129) | (~v102(constB129)))),
% 135.88/86.52 inference(quant_inst,[status(thm)],[])).
% 135.88/86.52 tff(21458,plain,
% 135.88/86.52 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB129)) | v26(constB129) | v106(constB129)),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21457, 21456])).
% 135.88/86.52 tff(21459,plain,
% 135.88/86.52 ((~v102(constB129)) | v106(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21458, 3146, 21452])).
% 135.88/86.52 tff(21460,plain,
% 135.88/86.52 (~v102(constB129)),
% 135.88/86.52 inference(unit_resolution,[status(thm)],[21459, 21448])).
% 135.88/86.52 tff(21461,plain,
% 135.88/86.52 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21462,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_129_1')).
% 135.88/86.52 tff(21463,plain,
% 135.88/86.52 (nextState(constB129, constB130)),
% 135.88/86.52 inference(modus_ponens,[status(thm)],[21462, 21461])).
% 135.88/86.52 tff(21464,plain,
% 135.88/86.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB129, constB130)) | (~v104(constB130)) | v102(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB129, constB130)) | (~v104(constB130)) | v102(constB129))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21465,plain,
% 135.88/86.52 (((~nextState(constB129, constB130)) | v102(constB129) | (~v104(constB130))) <=> ((~nextState(constB129, constB130)) | (~v104(constB130)) | v102(constB129))),
% 135.88/86.52 inference(rewrite,[status(thm)],[])).
% 135.88/86.52 tff(21466,plain,
% 135.88/86.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB129, constB130)) | v102(constB129) | (~v104(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB129, constB130)) | (~v104(constB130)) | v102(constB129)))),
% 135.88/86.53 inference(monotonicity,[status(thm)],[21465])).
% 135.88/86.53 tff(21467,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB129, constB130)) | v102(constB129) | (~v104(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB129, constB130)) | (~v104(constB130)) | v102(constB129))),
% 135.88/86.53 inference(transitivity,[status(thm)],[21466, 21464])).
% 135.88/86.53 tff(21468,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB129, constB130)) | v102(constB129) | (~v104(constB130)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21469,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB129, constB130)) | (~v104(constB130)) | v102(constB129)),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21468, 21467])).
% 135.88/86.53 tff(21470,plain,
% 135.88/86.53 ((~v104(constB130)) | v102(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21469, 3128, 21463])).
% 135.88/86.53 tff(21471,plain,
% 135.88/86.53 (~v104(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21470, 21460])).
% 135.88/86.53 tff(21472,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v94(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v94(constB130)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21473,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v94(constB130)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21474,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v94(constB130))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21473, 21472])).
% 135.88/86.53 tff(21475,plain,
% 135.88/86.53 (v104(constB130) | (~v94(constB130))),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21474, 3113, 21463])).
% 135.88/86.53 tff(21476,plain,
% 135.88/86.53 (~v94(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21475, 21471])).
% 135.88/86.53 tff(21477,assumption,(v107(constB131)), introduced(assumption)).
% 135.88/86.53 tff(21478,assumption,(~v94(constB130)), introduced(assumption)).
% 135.88/86.53 tff(21479,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21480,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21481,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB129) | (~nextState(constB129, constB130)) | (~v98(constB130))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21480, 21479])).
% 135.88/86.53 tff(21482,plain,
% 135.88/86.53 (~v98(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21481, 541, 21463, 21305])).
% 135.88/86.53 tff(21483,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21484,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB129, constB130)) | v96(constB130) | v98(constB130))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21485,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB129, constB130)) | v96(constB130) | v98(constB130)),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 135.88/86.53 tff(21486,plain,
% 135.88/86.53 (v96(constB130) | v98(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21485, 555, 21463])).
% 135.88/86.53 tff(21487,plain,
% 135.88/86.53 (v96(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21486, 21482])).
% 135.88/86.53 tff(21488,plain,
% 135.88/86.53 (v1(constB130) <=> v1(constB130)),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21489,axiom,(v1(constB130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_130_1')).
% 135.88/86.53 tff(21490,plain,
% 135.88/86.53 (v1(constB130)),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21489, 21488])).
% 135.88/86.53 tff(21491,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21492,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21493,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB129, constB130)) | v95(constB130) | (~v96(constB130)) | (~v1(constB130))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21492, 21491])).
% 135.88/86.53 tff(21494,plain,
% 135.88/86.53 (v95(constB130) | (~v96(constB130))),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21493, 573, 21463, 21490])).
% 135.88/86.53 tff(21495,plain,
% 135.88/86.53 (v95(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21494, 21487])).
% 135.88/86.53 tff(21496,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21497,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21498,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB129, constB130)) | (~v95(constB130)) | (~v104(constB130)) | v94(constB130)),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21497, 21496])).
% 135.88/86.53 tff(21499,plain,
% 135.88/86.53 ((~v95(constB130)) | (~v104(constB130)) | v94(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21498, 588, 21463])).
% 135.88/86.53 tff(21500,plain,
% 135.88/86.53 ((~v104(constB130)) | v94(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21499, 21495])).
% 135.88/86.53 tff(21501,plain,
% 135.88/86.53 (~v104(constB130)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21500, 21478])).
% 135.88/86.53 tff(21502,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21503,plain,
% 135.88/86.53 (((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130)) <=> ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21504,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))))),
% 135.88/86.53 inference(monotonicity,[status(thm)],[21503])).
% 135.88/86.53 tff(21505,plain,
% 135.88/86.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129)))),
% 135.88/86.53 inference(transitivity,[status(thm)],[21504, 21502])).
% 135.88/86.53 tff(21506,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB129, constB130)) | (~v102(constB129)) | v104(constB130))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21507,plain,
% 135.88/86.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB129, constB130)) | v104(constB130) | (~v102(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21506, 21505])).
% 135.88/86.53 tff(21508,plain,
% 135.88/86.53 (v104(constB130) | (~v102(constB129))),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21507, 604, 21463])).
% 135.88/86.53 tff(21509,plain,
% 135.88/86.53 (~v102(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21508, 21501])).
% 135.88/86.53 tff(21510,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB129) | (~v106(constB129)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB129) | (~v106(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21511,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB129) | (~v106(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21512,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB129) | (~v106(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21511, 21510])).
% 135.88/86.53 tff(21513,plain,
% 135.88/86.53 (~v106(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21512, 619, 21509])).
% 135.88/86.53 tff(21514,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | v106(constB129) | (~v107(constB129)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21515,plain,
% 135.88/86.53 ((v26(constB129) | (~v107(constB129)) | v106(constB129)) <=> (v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21516,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | v106(constB129) | (~v107(constB129))))),
% 135.88/86.53 inference(monotonicity,[status(thm)],[21515])).
% 135.88/86.53 tff(21517,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129)))),
% 135.88/86.53 inference(transitivity,[status(thm)],[21516, 21514])).
% 135.88/86.53 tff(21518,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB129) | (~v107(constB129)) | v106(constB129))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21519,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB129) | v106(constB129) | (~v107(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21518, 21517])).
% 135.88/86.53 tff(21520,plain,
% 135.88/86.53 (v106(constB129) | (~v107(constB129))),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21519, 644, 21452])).
% 135.88/86.53 tff(21521,plain,
% 135.88/86.53 (~v107(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21520, 21513])).
% 135.88/86.53 tff(21522,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB129) | (~v108(constB129)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB129) | (~v108(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21523,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB129) | (~v108(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21524,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB129) | (~v108(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21523, 21522])).
% 135.88/86.53 tff(21525,plain,
% 135.88/86.53 (~v108(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21524, 658, 21521])).
% 135.88/86.53 tff(21526,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB129) | (~v109(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB129) | (~v109(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21527,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB129) | (~v109(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21528,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB129) | (~v109(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21527, 21526])).
% 135.88/86.53 tff(21529,plain,
% 135.88/86.53 (~v109(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21528, 669, 21525])).
% 135.88/86.53 tff(21530,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB129) | (~v110(constB129)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB129) | (~v110(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21531,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB129) | (~v110(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21532,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB129) | (~v110(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21531, 21530])).
% 135.88/86.53 tff(21533,plain,
% 135.88/86.53 (~v110(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21532, 680, 21529])).
% 135.88/86.53 tff(21534,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB129) | (~v116(constB129)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB129) | (~v116(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21535,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB129) | (~v116(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21536,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB129) | (~v116(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21535, 21534])).
% 135.88/86.53 tff(21537,plain,
% 135.88/86.53 (~v116(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21536, 934, 21533])).
% 135.88/86.53 tff(21538,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB129) | (~v111(constB129)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB129) | (~v111(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21539,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB129) | (~v111(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21540,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB129) | (~v111(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21539, 21538])).
% 135.88/86.53 tff(21541,plain,
% 135.88/86.53 (~v111(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21540, 691, 21533])).
% 135.88/86.53 tff(21542,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB129) | (~v115(constB129)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB129) | (~v115(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21543,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB129) | (~v115(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21544,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB129) | (~v115(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21543, 21542])).
% 135.88/86.53 tff(21545,plain,
% 135.88/86.53 (~v115(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21544, 945, 21541])).
% 135.88/86.53 tff(21546,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB129) | (~v112(constB129)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB129) | (~v112(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21547,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB129) | (~v112(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21548,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB129) | (~v112(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21547, 21546])).
% 135.88/86.53 tff(21549,plain,
% 135.88/86.53 (~v112(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21548, 702, 21541])).
% 135.88/86.53 tff(21550,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB129) | (~v113(constB129)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB129) | (~v113(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21551,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB129) | (~v113(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21552,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB129) | (~v113(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21551, 21550])).
% 135.88/86.53 tff(21553,plain,
% 135.88/86.53 (~v113(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21552, 969, 21549])).
% 135.88/86.53 tff(21554,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB129) | (~v119(constB129)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB129) | (~v119(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21555,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB129) | (~v119(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21556,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB129) | (~v119(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21555, 21554])).
% 135.88/86.53 tff(21557,plain,
% 135.88/86.53 (~v119(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21556, 1927, 21521])).
% 135.88/86.53 tff(21558,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB129) | (~v172(constB129)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB129) | (~v172(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21559,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB129) | (~v172(constB129)))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21560,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB129) | (~v172(constB129))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 135.88/86.53 tff(21561,plain,
% 135.88/86.53 (~v172(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21560, 1033, 21529])).
% 135.88/86.53 tff(21562,assumption,(~v116(constB129)), introduced(assumption)).
% 135.88/86.53 tff(21563,assumption,(~v115(constB129)), introduced(assumption)).
% 135.88/86.53 tff(21564,assumption,(~v113(constB129)), introduced(assumption)).
% 135.88/86.53 tff(21565,assumption,(v84(constB129, bitIndex1)), introduced(assumption)).
% 135.88/86.53 tff(21566,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v115(constB129))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v115(constB129))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21567,plain,
% 135.88/86.53 ((v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129)) <=> (v84(constB129, bitIndex0) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v115(constB129))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21568,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v115(constB129)))),
% 135.88/86.53 inference(monotonicity,[status(thm)],[21567])).
% 135.88/86.53 tff(21569,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v115(constB129))),
% 135.88/86.53 inference(transitivity,[status(thm)],[21568, 21566])).
% 135.88/86.53 tff(21570,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v115(constB129))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21571,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v115(constB129)),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21570, 21569])).
% 135.88/86.53 tff(21572,plain,
% 135.88/86.53 (v84(constB129, bitIndex0) | v84(constB129, bitIndex2) | v115(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21571, 1095, 21565])).
% 135.88/86.53 tff(21573,plain,
% 135.88/86.53 (v84(constB129, bitIndex0)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21572, 21418, 21563])).
% 135.88/86.53 tff(21574,plain,
% 135.88/86.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v116(constB129))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v116(constB129))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21575,plain,
% 135.88/86.53 (((~v84(constB129, bitIndex0)) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v116(constB129)) <=> ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v116(constB129))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21576,plain,
% 135.88/86.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB129, bitIndex0)) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v116(constB129))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v116(constB129)))),
% 135.88/86.53 inference(monotonicity,[status(thm)],[21575])).
% 135.88/86.53 tff(21577,plain,
% 135.88/86.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB129, bitIndex0)) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v116(constB129))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v116(constB129))),
% 135.88/86.53 inference(transitivity,[status(thm)],[21576, 21574])).
% 135.88/86.53 tff(21578,plain,
% 135.88/86.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB129, bitIndex0)) | (~v84(constB129, bitIndex1)) | v84(constB129, bitIndex2) | v116(constB129))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21579,plain,
% 135.88/86.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex2) | (~v84(constB129, bitIndex1)) | v116(constB129)),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21578, 21577])).
% 135.88/86.53 tff(21580,plain,
% 135.88/86.53 ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex2) | v116(constB129)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21579, 1076, 21565])).
% 135.88/86.53 tff(21581,plain,
% 135.88/86.53 ($false),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21580, 21573, 21418, 21562])).
% 135.88/86.53 tff(21582,plain,(v84(constB129, bitIndex2) | v116(constB129) | (~v84(constB129, bitIndex1)) | v115(constB129)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.53 tff(21583,plain,
% 135.88/86.53 (~v84(constB129, bitIndex1)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21582, 21418, 21563, 21562])).
% 135.88/86.53 tff(21584,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB129) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB129) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21585,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB129) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21586,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB129) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2)),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 135.88/86.53 tff(21587,plain,
% 135.88/86.53 (v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21586, 983, 21564])).
% 135.88/86.53 tff(21588,plain,
% 135.88/86.53 ($false),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21587, 21583, 21418, 21358])).
% 135.88/86.53 tff(21589,plain,(v84(constB129, bitIndex2) | v84(constB129, bitIndex0) | v113(constB129) | v115(constB129) | v116(constB129)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.53 tff(21590,plain,
% 135.88/86.53 (v84(constB129, bitIndex2)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21589, 21358, 21564, 21563, 21562])).
% 135.88/86.53 tff(21591,assumption,(~v119(constB129)), introduced(assumption)).
% 135.88/86.53 tff(21592,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB129, bitIndex0) | v119(constB129) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB129, bitIndex0) | v119(constB129) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21593,plain,
% 135.88/86.53 ((v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2)) | v119(constB129)) <=> (v84(constB129, bitIndex0) | v119(constB129) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21594,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2)) | v119(constB129))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB129, bitIndex0) | v119(constB129) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2))))),
% 135.88/86.53 inference(monotonicity,[status(thm)],[21593])).
% 135.88/86.53 tff(21595,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2)) | v119(constB129))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB129, bitIndex0) | v119(constB129) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2)))),
% 135.88/86.53 inference(transitivity,[status(thm)],[21594, 21592])).
% 135.88/86.53 tff(21596,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2)) | v119(constB129))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21597,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB129, bitIndex0) | v119(constB129) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2))),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21596, 21595])).
% 135.88/86.53 tff(21598,plain,
% 135.88/86.53 (v84(constB129, bitIndex0) | (~v84(constB129, bitIndex1)) | (~v84(constB129, bitIndex2))),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21597, 1910, 21591])).
% 135.88/86.53 tff(21599,plain,
% 135.88/86.53 (~v84(constB129, bitIndex1)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21598, 21590, 21358])).
% 135.88/86.53 tff(21600,assumption,(~v172(constB129)), introduced(assumption)).
% 135.88/86.53 tff(21601,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21602,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129))),
% 135.88/86.53 inference(quant_inst,[status(thm)],[])).
% 135.88/86.53 tff(21603,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v172(constB129)),
% 135.88/86.53 inference(modus_ponens,[status(thm)],[21602, 21601])).
% 135.88/86.53 tff(21604,plain,
% 135.88/86.53 (v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2))),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21603, 1047, 21600])).
% 135.88/86.53 tff(21605,plain,
% 135.88/86.53 ($false),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21604, 21599, 21590, 21358])).
% 135.88/86.53 tff(21606,plain,(v84(constB129, bitIndex0) | v172(constB129) | v119(constB129) | v113(constB129) | v115(constB129) | v116(constB129)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.53 tff(21607,plain,
% 135.88/86.53 (v84(constB129, bitIndex0)),
% 135.88/86.53 inference(unit_resolution,[status(thm)],[21606, 21561, 21557, 21553, 21545, 21537])).
% 135.88/86.53 tff(21608,plain,
% 135.88/86.53 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB129) | (~v145(constB129)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB129) | (~v145(constB129)))),
% 135.88/86.53 inference(rewrite,[status(thm)],[])).
% 135.88/86.53 tff(21609,plain,
% 135.88/86.53 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB129) | (~v145(constB129)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21610,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB129) | (~v145(constB129))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 135.88/86.54 tff(21611,plain,
% 135.88/86.54 (~v145(constB129)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21610, 713, 21549])).
% 135.88/86.54 tff(21612,assumption,(v84(constB129, bitIndex0)), introduced(assumption)).
% 135.88/86.54 tff(21613,assumption,(~v145(constB129)), introduced(assumption)).
% 135.88/86.54 tff(21614,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB129) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB129) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21615,plain,
% 135.88/86.54 (((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2) | v145(constB129)) <=> (v145(constB129) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21616,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2) | v145(constB129))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB129) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2)))),
% 135.88/86.54 inference(monotonicity,[status(thm)],[21615])).
% 135.88/86.54 tff(21617,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2) | v145(constB129))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB129) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2))),
% 135.88/86.54 inference(transitivity,[status(thm)],[21616, 21614])).
% 135.88/86.54 tff(21618,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2) | v145(constB129))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21619,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB129) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2)),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21618, 21617])).
% 135.88/86.54 tff(21620,plain,
% 135.88/86.54 ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex2)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21619, 865, 21613])).
% 135.88/86.54 tff(21621,plain,
% 135.88/86.54 ($false),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21620, 21583, 21418, 21612])).
% 135.88/86.54 tff(21622,plain,(v84(constB129, bitIndex2) | (~v84(constB129, bitIndex0)) | v145(constB129) | v115(constB129) | v116(constB129)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.54 tff(21623,plain,
% 135.88/86.54 (v84(constB129, bitIndex2)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21622, 21607, 21611, 21545, 21537])).
% 135.88/86.54 tff(21624,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB129) | (~v118(constB129)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB129) | (~v118(constB129)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21625,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB129) | (~v118(constB129)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21626,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB129) | (~v118(constB129))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21625, 21624])).
% 135.88/86.54 tff(21627,plain,
% 135.88/86.54 (~v118(constB129)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21626, 1004, 21525])).
% 135.88/86.54 tff(21628,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v118(constB129))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v118(constB129))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21629,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v118(constB129))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21630,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)) | v118(constB129)),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21629, 21628])).
% 135.88/86.54 tff(21631,plain,
% 135.88/86.54 ((~v84(constB129, bitIndex0)) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2))),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21630, 1018, 21627])).
% 135.88/86.54 tff(21632,plain,
% 135.88/86.54 (v84(constB129, bitIndex1)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21631, 21623, 21607])).
% 135.88/86.54 tff(21633,assumption,(v84(constB129, bitIndex2)), introduced(assumption)).
% 135.88/86.54 tff(21634,assumption,(~v84(constB130, bitIndex2)), introduced(assumption)).
% 135.88/86.54 tff(21635,plain,
% 135.88/86.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex2)) | v84(constB130, bitIndex2) | (~v84(constB129, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex2)) | v84(constB130, bitIndex2) | (~v84(constB129, bitIndex2)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21636,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex2)) | v84(constB130, bitIndex2) | (~v84(constB129, bitIndex2)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21637,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex2)) | v84(constB130, bitIndex2) | (~v84(constB129, bitIndex2))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21636, 21635])).
% 135.88/86.54 tff(21638,plain,
% 135.88/86.54 ($false),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21637, 777, 767, 21463, 21478, 21634, 21633])).
% 135.88/86.54 tff(21639,plain,(v84(constB130, bitIndex2) | v94(constB130) | (~v84(constB129, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.54 tff(21640,plain,
% 135.88/86.54 (v84(constB130, bitIndex2)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21639, 21623, 21478])).
% 135.88/86.54 tff(21641,assumption,(v84(constB130, bitIndex2)), introduced(assumption)).
% 135.88/86.54 tff(21642,assumption,(~v84(constB131, bitIndex2)), introduced(assumption)).
% 135.88/86.54 tff(21643,plain,
% 135.88/86.54 ((~v1(constB131)) <=> (~v1(constB131))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21644,axiom,(~v1(constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_131_1_1')).
% 135.88/86.54 tff(21645,plain,
% 135.88/86.54 (~v1(constB131)),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 135.88/86.54 tff(21646,plain,
% 135.88/86.54 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21647,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_130_1')).
% 135.88/86.54 tff(21648,plain,
% 135.88/86.54 (nextState(constB130, constB131)),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21647, 21646])).
% 135.88/86.54 tff(21649,plain,
% 135.88/86.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21650,plain,
% 135.88/86.54 (((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131)) <=> (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21651,plain,
% 135.88/86.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))))),
% 135.88/86.54 inference(monotonicity,[status(thm)],[21650])).
% 135.88/86.54 tff(21652,plain,
% 135.88/86.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131)))),
% 135.88/86.54 inference(transitivity,[status(thm)],[21651, 21649])).
% 135.88/86.54 tff(21653,plain,
% 135.88/86.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB130, constB131)) | (~v95(constB131)) | v1(constB131))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21654,plain,
% 135.88/86.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB131) | (~nextState(constB130, constB131)) | (~v95(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21653, 21652])).
% 135.88/86.54 tff(21655,plain,
% 135.88/86.54 (~v95(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21654, 742, 21648, 21645])).
% 135.88/86.54 tff(21656,plain,
% 135.88/86.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21657,plain,
% 135.88/86.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21658,plain,
% 135.88/86.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB130, constB131)) | v95(constB131) | (~v94(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 135.88/86.54 tff(21659,plain,
% 135.88/86.54 (v95(constB131) | (~v94(constB131))),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21658, 759, 21648])).
% 135.88/86.54 tff(21660,plain,
% 135.88/86.54 (~v94(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21659, 21655])).
% 135.88/86.54 tff(21661,plain,
% 135.88/86.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB130, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB130, bitIndex2)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21662,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB130, bitIndex2)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21663,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB130, bitIndex2))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21662, 21661])).
% 135.88/86.54 tff(21664,plain,
% 135.88/86.54 ($false),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21663, 777, 767, 21648, 21660, 21642, 21641])).
% 135.88/86.54 tff(21665,plain,(v84(constB131, bitIndex2) | (~v84(constB130, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.54 tff(21666,plain,
% 135.88/86.54 (v84(constB131, bitIndex2)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21665, 21640])).
% 135.88/86.54 tff(21667,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB131, bitIndex2)) | (~v115(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB131, bitIndex2)) | (~v115(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21668,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB131, bitIndex2)) | (~v115(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21669,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB131, bitIndex2)) | (~v115(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21668, 21667])).
% 135.88/86.54 tff(21670,plain,
% 135.88/86.54 (~v115(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21669, 2665, 21666])).
% 135.88/86.54 tff(21671,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB131)) | (~v84(constB131, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB131)) | (~v84(constB131, bitIndex2)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21672,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB131)) | (~v84(constB131, bitIndex2)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21673,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB131)) | (~v84(constB131, bitIndex2))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21672, 21671])).
% 135.88/86.54 tff(21674,plain,
% 135.88/86.54 (~v113(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21673, 1119, 21666])).
% 135.88/86.54 tff(21675,assumption,(~v145(constB131)), introduced(assumption)).
% 135.88/86.54 tff(21676,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB131) | (~v112(constB131)) | v113(constB131))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB131) | (~v112(constB131)) | v113(constB131))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21677,plain,
% 135.88/86.54 ((v113(constB131) | (~v112(constB131)) | v145(constB131)) <=> (v145(constB131) | (~v112(constB131)) | v113(constB131))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21678,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB131) | (~v112(constB131)) | v145(constB131))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB131) | (~v112(constB131)) | v113(constB131)))),
% 135.88/86.54 inference(monotonicity,[status(thm)],[21677])).
% 135.88/86.54 tff(21679,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB131) | (~v112(constB131)) | v145(constB131))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB131) | (~v112(constB131)) | v113(constB131))),
% 135.88/86.54 inference(transitivity,[status(thm)],[21678, 21676])).
% 135.88/86.54 tff(21680,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB131) | (~v112(constB131)) | v145(constB131))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21681,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB131) | (~v112(constB131)) | v113(constB131)),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21680, 21679])).
% 135.88/86.54 tff(21682,plain,
% 135.88/86.54 ((~v112(constB131)) | v113(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21681, 2894, 21675])).
% 135.88/86.54 tff(21683,plain,
% 135.88/86.54 (~v112(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21682, 21674])).
% 135.88/86.54 tff(21684,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB131) | v115(constB131) | (~v111(constB131)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB131) | v115(constB131) | (~v111(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21685,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB131) | v115(constB131) | (~v111(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21686,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB131) | v115(constB131) | (~v111(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21685, 21684])).
% 135.88/86.54 tff(21687,plain,
% 135.88/86.54 (~v111(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21686, 2911, 21683, 21670])).
% 135.88/86.54 tff(21688,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB131, bitIndex2)) | (~v116(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB131, bitIndex2)) | (~v116(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21689,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB131, bitIndex2)) | (~v116(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21690,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB131, bitIndex2)) | (~v116(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21689, 21688])).
% 135.88/86.54 tff(21691,plain,
% 135.88/86.54 (~v116(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21690, 1130, 21666])).
% 135.88/86.54 tff(21692,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB131) | v116(constB131) | (~v110(constB131)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB131) | v116(constB131) | (~v110(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21693,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB131) | v116(constB131) | (~v110(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21694,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB131) | v116(constB131) | (~v110(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21693, 21692])).
% 135.88/86.54 tff(21695,plain,
% 135.88/86.54 (v111(constB131) | (~v110(constB131))),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21694, 2932, 21691])).
% 135.88/86.54 tff(21696,plain,
% 135.88/86.54 (~v110(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21695, 21687])).
% 135.88/86.54 tff(21697,assumption,(~v84(constB130, bitIndex0)), introduced(assumption)).
% 135.88/86.54 tff(21698,plain,
% 135.88/86.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex0)) | v84(constB130, bitIndex0) | (~v84(constB129, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex0)) | v84(constB130, bitIndex0) | (~v84(constB129, bitIndex0)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21699,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex0)) | v84(constB130, bitIndex0) | (~v84(constB129, bitIndex0)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21700,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex0)) | v84(constB130, bitIndex0) | (~v84(constB129, bitIndex0))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21699, 21698])).
% 135.88/86.54 tff(21701,plain,
% 135.88/86.54 ($false),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21700, 777, 795, 21463, 21478, 21697, 21612])).
% 135.88/86.54 tff(21702,plain,(v84(constB130, bitIndex0) | v94(constB130) | (~v84(constB129, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.54 tff(21703,plain,
% 135.88/86.54 (v84(constB130, bitIndex0)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21702, 21607, 21478])).
% 135.88/86.54 tff(21704,assumption,(v84(constB130, bitIndex0)), introduced(assumption)).
% 135.88/86.54 tff(21705,assumption,(~v84(constB131, bitIndex0)), introduced(assumption)).
% 135.88/86.54 tff(21706,plain,
% 135.88/86.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB130, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB130, bitIndex0)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21707,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB130, bitIndex0)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21708,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB130, bitIndex0))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21707, 21706])).
% 135.88/86.54 tff(21709,plain,
% 135.88/86.54 ($false),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21708, 777, 795, 21648, 21660, 21705, 21704])).
% 135.88/86.54 tff(21710,plain,(v84(constB131, bitIndex0) | (~v84(constB130, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.54 tff(21711,plain,
% 135.88/86.54 (v84(constB131, bitIndex0)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21710, 21703])).
% 135.88/86.54 tff(21712,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB131, bitIndex0)) | (~v172(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB131, bitIndex0)) | (~v172(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21713,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB131, bitIndex0)) | (~v172(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21714,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB131, bitIndex0)) | (~v172(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 135.88/86.54 tff(21715,plain,
% 135.88/86.54 (~v172(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21714, 7708, 21711])).
% 135.88/86.54 tff(21716,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB131) | v172(constB131) | (~v109(constB131)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | v110(constB131) | v172(constB131) | (~v109(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21717,plain,
% 135.88/86.54 ((v110(constB131) | (~v109(constB131)) | v172(constB131)) <=> (v110(constB131) | v172(constB131) | (~v109(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21718,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB131) | (~v109(constB131)) | v172(constB131))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB131) | v172(constB131) | (~v109(constB131))))),
% 135.88/86.54 inference(monotonicity,[status(thm)],[21717])).
% 135.88/86.54 tff(21719,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB131) | (~v109(constB131)) | v172(constB131))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | v110(constB131) | v172(constB131) | (~v109(constB131)))),
% 135.88/86.54 inference(transitivity,[status(thm)],[21718, 21716])).
% 135.88/86.54 tff(21720,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB131) | (~v109(constB131)) | v172(constB131))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21721,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | v110(constB131) | v172(constB131) | (~v109(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21720, 21719])).
% 135.88/86.54 tff(21722,plain,
% 135.88/86.54 (~v109(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21721, 2871, 21715, 21696])).
% 135.88/86.54 tff(21723,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB131)) | (~v84(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB131)) | (~v84(constB131, bitIndex0)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21724,plain,
% 135.88/86.54 (((~v84(constB131, bitIndex0)) | (~v119(constB131))) <=> ((~v119(constB131)) | (~v84(constB131, bitIndex0)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21725,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB131, bitIndex0)) | (~v119(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB131)) | (~v84(constB131, bitIndex0))))),
% 135.88/86.54 inference(monotonicity,[status(thm)],[21724])).
% 135.88/86.54 tff(21726,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB131, bitIndex0)) | (~v119(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB131)) | (~v84(constB131, bitIndex0)))),
% 135.88/86.54 inference(transitivity,[status(thm)],[21725, 21723])).
% 135.88/86.54 tff(21727,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB131, bitIndex0)) | (~v119(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21728,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB131)) | (~v84(constB131, bitIndex0))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21727, 21726])).
% 135.88/86.54 tff(21729,plain,
% 135.88/86.54 (~v119(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21728, 3173, 21711])).
% 135.88/86.54 tff(21730,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB131) | v119(constB131) | (~v107(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB131) | v119(constB131) | (~v107(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21731,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB131) | v119(constB131) | (~v107(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21732,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB131) | v119(constB131) | (~v107(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21731, 21730])).
% 135.88/86.54 tff(21733,plain,
% 135.88/86.54 (v108(constB131) | v119(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21732, 3195, 21477])).
% 135.88/86.54 tff(21734,plain,
% 135.88/86.54 (v108(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21733, 21729])).
% 135.88/86.54 tff(21735,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB131) | v118(constB131) | (~v108(constB131)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB131) | v118(constB131) | (~v108(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21736,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB131) | v118(constB131) | (~v108(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21737,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB131) | v118(constB131) | (~v108(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21736, 21735])).
% 135.88/86.54 tff(21738,plain,
% 135.88/86.54 (v118(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21737, 2856, 21734, 21722])).
% 135.88/86.54 tff(21739,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB131, bitIndex1)) | (~v118(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB131, bitIndex1)) | (~v118(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21740,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB131, bitIndex1)) | (~v118(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21741,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB131, bitIndex1)) | (~v118(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21740, 21739])).
% 135.88/86.54 tff(21742,plain,
% 135.88/86.54 (~v84(constB131, bitIndex1)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21741, 2842, 21738])).
% 135.88/86.54 tff(21743,plain,
% 135.88/86.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex1)) | v84(constB131, bitIndex1) | (~v84(constB130, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex1)) | v84(constB131, bitIndex1) | (~v84(constB130, bitIndex1)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21744,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex1)) | v84(constB131, bitIndex1) | (~v84(constB130, bitIndex1)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21745,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex1)) | v84(constB131, bitIndex1) | (~v84(constB130, bitIndex1))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21744, 21743])).
% 135.88/86.54 tff(21746,plain,
% 135.88/86.54 (~v84(constB130, bitIndex1)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21745, 777, 823, 21648, 21660, 21742])).
% 135.88/86.54 tff(21747,plain,
% 135.88/86.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex1)) | v84(constB130, bitIndex1) | (~v84(constB129, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex1)) | v84(constB130, bitIndex1) | (~v84(constB129, bitIndex1)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21748,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex1)) | v84(constB130, bitIndex1) | (~v84(constB129, bitIndex1)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21749,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex1)) | v84(constB130, bitIndex1) | (~v84(constB129, bitIndex1))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 135.88/86.54 tff(21750,plain,
% 135.88/86.54 ($false),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21749, 777, 823, 21463, 21478, 21746, 21632])).
% 135.88/86.54 tff(21751,plain,(v94(constB130) | (~v107(constB131)) | v145(constB131)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.54 tff(21752,plain,
% 135.88/86.54 (v145(constB131)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21751, 21478, 21477])).
% 135.88/86.54 tff(21753,assumption,(v84(constB131, bitIndex2)), introduced(assumption)).
% 135.88/86.54 tff(21754,assumption,(v145(constB131)), introduced(assumption)).
% 135.88/86.54 tff(21755,plain,
% 135.88/86.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB131, bitIndex2)) | (~v145(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB131, bitIndex2)) | (~v145(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21756,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB131, bitIndex2)) | (~v145(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21757,plain,
% 135.88/86.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB131, bitIndex2)) | (~v145(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21756, 21755])).
% 135.88/86.54 tff(21758,plain,
% 135.88/86.54 ($false),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21757, 725, 21754, 21753])).
% 135.88/86.54 tff(21759,plain,((~v145(constB131)) | (~v84(constB131, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.54 tff(21760,plain,
% 135.88/86.54 (~v84(constB131, bitIndex2)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21759, 21752])).
% 135.88/86.54 tff(21761,plain,
% 135.88/86.54 (~v84(constB130, bitIndex2)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21665, 21760])).
% 135.88/86.54 tff(21762,plain,
% 135.88/86.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB131, bitIndex0) | (~v145(constB131)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB131, bitIndex0) | (~v145(constB131)))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21763,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB131, bitIndex0) | (~v145(constB131)))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21764,plain,
% 135.88/86.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB131, bitIndex0) | (~v145(constB131))),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21763, 21762])).
% 135.88/86.54 tff(21765,plain,
% 135.88/86.54 (v84(constB131, bitIndex0)),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21764, 788, 21752])).
% 135.88/86.54 tff(21766,assumption,(v84(constB131, bitIndex0)), introduced(assumption)).
% 135.88/86.54 tff(21767,plain,
% 135.88/86.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB130, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB130, bitIndex0))),
% 135.88/86.54 inference(rewrite,[status(thm)],[])).
% 135.88/86.54 tff(21768,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB130, bitIndex0))),
% 135.88/86.54 inference(quant_inst,[status(thm)],[])).
% 135.88/86.54 tff(21769,plain,
% 135.88/86.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB130, constB131)) | v94(constB131) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB130, bitIndex0)),
% 135.88/86.54 inference(modus_ponens,[status(thm)],[21768, 21767])).
% 135.88/86.54 tff(21770,plain,
% 135.88/86.54 ($false),
% 135.88/86.54 inference(unit_resolution,[status(thm)],[21769, 805, 795, 21648, 21660, 21766, 21697])).
% 135.88/86.55 tff(21771,plain,((~v84(constB131, bitIndex0)) | v84(constB130, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.55 tff(21772,plain,
% 135.88/86.55 (v84(constB130, bitIndex0)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21771, 21765])).
% 135.88/86.55 tff(21773,plain,
% 135.88/86.55 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB131, bitIndex1)) | (~v145(constB131)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB131, bitIndex1)) | (~v145(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21774,plain,
% 135.88/86.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB131, bitIndex1)) | (~v145(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21775,plain,
% 135.88/86.55 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB131, bitIndex1)) | (~v145(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21774, 21773])).
% 135.88/86.55 tff(21776,plain,
% 135.88/86.55 (~v84(constB131, bitIndex1)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21775, 816, 21752])).
% 135.88/86.55 tff(21777,assumption,(v84(constB130, bitIndex1)), introduced(assumption)).
% 135.88/86.55 tff(21778,assumption,(~v84(constB131, bitIndex1)), introduced(assumption)).
% 135.88/86.55 tff(21779,plain,
% 135.88/86.55 ($false),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21745, 777, 823, 21648, 21660, 21778, 21777])).
% 135.88/86.55 tff(21780,plain,(v84(constB131, bitIndex1) | (~v84(constB130, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.55 tff(21781,plain,
% 135.88/86.55 (~v84(constB130, bitIndex1)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21780, 21776])).
% 135.88/86.55 tff(21782,assumption,(~v84(constB130, bitIndex1)), introduced(assumption)).
% 135.88/86.55 tff(21783,plain,
% 135.88/86.55 (v94(constB130) | (~v84(constB129, bitIndex1))),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21749, 777, 823, 21463, 21782])).
% 135.88/86.55 tff(21784,plain,
% 135.88/86.55 (~v84(constB129, bitIndex1)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21783, 21478])).
% 135.88/86.55 tff(21785,plain,
% 135.88/86.55 (v94(constB130) | (~v84(constB129, bitIndex2))),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21637, 777, 767, 21463, 21634])).
% 135.88/86.55 tff(21786,plain,
% 135.88/86.55 (~v84(constB129, bitIndex2)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21785, 21478])).
% 135.88/86.55 tff(21787,plain,
% 135.88/86.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex0)) | (~v84(constB130, bitIndex0)) | v84(constB129, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex0)) | (~v84(constB130, bitIndex0)) | v84(constB129, bitIndex0))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21788,plain,
% 135.88/86.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex0)) | (~v84(constB130, bitIndex0)) | v84(constB129, bitIndex0))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21789,plain,
% 135.88/86.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB129, constB130)) | v94(constB130) | (~less_3(bitIndex0)) | (~v84(constB130, bitIndex0)) | v84(constB129, bitIndex0)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21788, 21787])).
% 135.88/86.55 tff(21790,plain,
% 135.88/86.55 (v94(constB130) | v84(constB129, bitIndex0)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21789, 805, 795, 21463, 21704])).
% 135.88/86.55 tff(21791,plain,
% 135.88/86.55 (v84(constB129, bitIndex0)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21790, 21478])).
% 135.88/86.55 tff(21792,plain,
% 135.88/86.55 (v145(constB129)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21619, 865, 21791, 21786, 21784])).
% 135.88/86.55 tff(21793,plain,
% 135.88/86.55 (v112(constB129)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21610, 713, 21792])).
% 135.88/86.55 tff(21794,plain,
% 135.88/86.55 (v111(constB129)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21548, 702, 21793])).
% 135.88/86.55 tff(21795,plain,
% 135.88/86.55 (v110(constB129)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21540, 691, 21794])).
% 135.88/86.55 tff(21796,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB129) | (~v26(constB129)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB129) | (~v26(constB129)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21797,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB129) | (~v26(constB129)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21798,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB129) | (~v26(constB129))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21797, 21796])).
% 135.88/86.55 tff(21799,plain,
% 135.88/86.55 (~v26(constB129)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21798, 630, 21509])).
% 135.88/86.55 tff(21800,plain,
% 135.88/86.55 (~v107(constB129)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21519, 644, 21799, 21513])).
% 135.88/86.55 tff(21801,plain,
% 135.88/86.55 (~v108(constB129)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21524, 658, 21800])).
% 135.88/86.55 tff(21802,plain,
% 135.88/86.55 (~v109(constB129)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21528, 669, 21801])).
% 135.88/86.55 tff(21803,plain,
% 135.88/86.55 ($false),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21532, 680, 21802, 21795])).
% 135.88/86.55 tff(21804,plain,(v94(constB130) | v84(constB130, bitIndex1) | v84(constB130, bitIndex2) | (~v84(constB130, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.55 tff(21805,plain,
% 135.88/86.55 ($false),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21804, 21781, 21772, 21478, 21761])).
% 135.88/86.55 tff(21806,plain,(v94(constB130) | (~v107(constB131))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.55 tff(21807,plain,
% 135.88/86.55 (~v107(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21806, 21476])).
% 135.88/86.55 tff(21808,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB131) | (~v106(constB131)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB131) | (~v106(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21809,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB131) | (~v106(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21810,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB131) | (~v106(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 135.88/86.55 tff(21811,plain,
% 135.88/86.55 (~v106(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21810, 3161, 21807])).
% 135.88/86.55 tff(21812,assumption,(v26(constB131)), introduced(assumption)).
% 135.88/86.55 tff(21813,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21814,plain,
% 135.88/86.55 ($false),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21813, 1172, 21812])).
% 135.88/86.55 tff(21815,plain,(~v26(constB131)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.55 tff(21816,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB131)) | v26(constB131) | v106(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB131)) | v26(constB131) | v106(constB131))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21817,plain,
% 135.88/86.55 ((v26(constB131) | v106(constB131) | (~v102(constB131))) <=> ((~v102(constB131)) | v26(constB131) | v106(constB131))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21818,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB131) | v106(constB131) | (~v102(constB131)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB131)) | v26(constB131) | v106(constB131)))),
% 135.88/86.55 inference(monotonicity,[status(thm)],[21817])).
% 135.88/86.55 tff(21819,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB131) | v106(constB131) | (~v102(constB131)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB131)) | v26(constB131) | v106(constB131))),
% 135.88/86.55 inference(transitivity,[status(thm)],[21818, 21816])).
% 135.88/86.55 tff(21820,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB131) | v106(constB131) | (~v102(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21821,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB131)) | v26(constB131) | v106(constB131)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21820, 21819])).
% 135.88/86.55 tff(21822,plain,
% 135.88/86.55 ((~v102(constB131)) | v106(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21821, 3146, 21815])).
% 135.88/86.55 tff(21823,plain,
% 135.88/86.55 (~v102(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21822, 21811])).
% 135.88/86.55 tff(21824,plain,
% 135.88/86.55 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21825,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_131_1')).
% 135.88/86.55 tff(21826,plain,
% 135.88/86.55 (nextState(constB131, constB132)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21825, 21824])).
% 135.88/86.55 tff(21827,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB131, constB132)) | (~v104(constB132)) | v102(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB131, constB132)) | (~v104(constB132)) | v102(constB131))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21828,plain,
% 135.88/86.55 (((~nextState(constB131, constB132)) | v102(constB131) | (~v104(constB132))) <=> ((~nextState(constB131, constB132)) | (~v104(constB132)) | v102(constB131))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21829,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB131, constB132)) | v102(constB131) | (~v104(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB131, constB132)) | (~v104(constB132)) | v102(constB131)))),
% 135.88/86.55 inference(monotonicity,[status(thm)],[21828])).
% 135.88/86.55 tff(21830,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB131, constB132)) | v102(constB131) | (~v104(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB131, constB132)) | (~v104(constB132)) | v102(constB131))),
% 135.88/86.55 inference(transitivity,[status(thm)],[21829, 21827])).
% 135.88/86.55 tff(21831,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB131, constB132)) | v102(constB131) | (~v104(constB132)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21832,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB131, constB132)) | (~v104(constB132)) | v102(constB131)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21831, 21830])).
% 135.88/86.55 tff(21833,plain,
% 135.88/86.55 ((~v104(constB132)) | v102(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21832, 3128, 21826])).
% 135.88/86.55 tff(21834,plain,
% 135.88/86.55 (~v104(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21833, 21823])).
% 135.88/86.55 tff(21835,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v94(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v94(constB132)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21836,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v94(constB132)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21837,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v94(constB132))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21836, 21835])).
% 135.88/86.55 tff(21838,plain,
% 135.88/86.55 (v104(constB132) | (~v94(constB132))),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21837, 3113, 21826])).
% 135.88/86.55 tff(21839,plain,
% 135.88/86.55 (~v94(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21838, 21834])).
% 135.88/86.55 tff(21840,assumption,(~v94(constB132)), introduced(assumption)).
% 135.88/86.55 tff(21841,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21842,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21843,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB131) | (~nextState(constB131, constB132)) | (~v98(constB132))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 135.88/86.55 tff(21844,plain,
% 135.88/86.55 (~v98(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21843, 541, 21826, 21645])).
% 135.88/86.55 tff(21845,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21846,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB131, constB132)) | v96(constB132) | v98(constB132))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21847,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB131, constB132)) | v96(constB132) | v98(constB132)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21846, 21845])).
% 135.88/86.55 tff(21848,plain,
% 135.88/86.55 (v96(constB132) | v98(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21847, 555, 21826])).
% 135.88/86.55 tff(21849,plain,
% 135.88/86.55 (v96(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21848, 21844])).
% 135.88/86.55 tff(21850,plain,
% 135.88/86.55 (v1(constB132) <=> v1(constB132)),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21851,axiom,(v1(constB132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_132_1')).
% 135.88/86.55 tff(21852,plain,
% 135.88/86.55 (v1(constB132)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21851, 21850])).
% 135.88/86.55 tff(21853,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21854,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21855,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB131, constB132)) | v95(constB132) | (~v96(constB132)) | (~v1(constB132))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21854, 21853])).
% 135.88/86.55 tff(21856,plain,
% 135.88/86.55 (v95(constB132) | (~v96(constB132))),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21855, 573, 21826, 21852])).
% 135.88/86.55 tff(21857,plain,
% 135.88/86.55 (v95(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21856, 21849])).
% 135.88/86.55 tff(21858,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21859,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21860,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB131, constB132)) | (~v95(constB132)) | (~v104(constB132)) | v94(constB132)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21859, 21858])).
% 135.88/86.55 tff(21861,plain,
% 135.88/86.55 ((~v95(constB132)) | (~v104(constB132)) | v94(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21860, 588, 21826])).
% 135.88/86.55 tff(21862,plain,
% 135.88/86.55 ((~v104(constB132)) | v94(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21861, 21857])).
% 135.88/86.55 tff(21863,plain,
% 135.88/86.55 (~v104(constB132)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21862, 21840])).
% 135.88/86.55 tff(21864,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21865,plain,
% 135.88/86.55 (((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132)) <=> ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21866,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))))),
% 135.88/86.55 inference(monotonicity,[status(thm)],[21865])).
% 135.88/86.55 tff(21867,plain,
% 135.88/86.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131)))),
% 135.88/86.55 inference(transitivity,[status(thm)],[21866, 21864])).
% 135.88/86.55 tff(21868,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB131, constB132)) | (~v102(constB131)) | v104(constB132))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21869,plain,
% 135.88/86.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB131, constB132)) | v104(constB132) | (~v102(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21868, 21867])).
% 135.88/86.55 tff(21870,plain,
% 135.88/86.55 (v104(constB132) | (~v102(constB131))),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21869, 604, 21826])).
% 135.88/86.55 tff(21871,plain,
% 135.88/86.55 (~v102(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21870, 21863])).
% 135.88/86.55 tff(21872,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB131) | (~v106(constB131)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB131) | (~v106(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21873,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB131) | (~v106(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21874,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB131) | (~v106(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21873, 21872])).
% 135.88/86.55 tff(21875,plain,
% 135.88/86.55 (~v106(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21874, 619, 21871])).
% 135.88/86.55 tff(21876,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21877,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB131) | (~v107(constB131)) | v106(constB131))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21878,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB131) | (~v107(constB131)) | v106(constB131)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21877, 21876])).
% 135.88/86.55 tff(21879,plain,
% 135.88/86.55 ((~v107(constB131)) | v106(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21878, 644, 21815])).
% 135.88/86.55 tff(21880,plain,
% 135.88/86.55 (~v107(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21879, 21875])).
% 135.88/86.55 tff(21881,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB131) | (~v108(constB131)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB131) | (~v108(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21882,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB131) | (~v108(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21883,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB131) | (~v108(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 135.88/86.55 tff(21884,plain,
% 135.88/86.55 (~v108(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21883, 658, 21880])).
% 135.88/86.55 tff(21885,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB131) | (~v109(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB131) | (~v109(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21886,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB131) | (~v109(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21887,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB131) | (~v109(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21886, 21885])).
% 135.88/86.55 tff(21888,plain,
% 135.88/86.55 (~v109(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21887, 669, 21884])).
% 135.88/86.55 tff(21889,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB131) | (~v172(constB131)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB131) | (~v172(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21890,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB131) | (~v172(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21891,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB131) | (~v172(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21890, 21889])).
% 135.88/86.55 tff(21892,plain,
% 135.88/86.55 (~v172(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21891, 1033, 21888])).
% 135.88/86.55 tff(21893,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB131) | (~v119(constB131)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB131) | (~v119(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21894,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB131) | (~v119(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21895,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB131) | (~v119(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21894, 21893])).
% 135.88/86.55 tff(21896,plain,
% 135.88/86.55 (~v119(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21895, 1927, 21880])).
% 135.88/86.55 tff(21897,assumption,(~v84(constB132, bitIndex2)), introduced(assumption)).
% 135.88/86.55 tff(21898,assumption,(~v84(constB132, bitIndex0)), introduced(assumption)).
% 135.88/86.55 tff(21899,plain,
% 135.88/86.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB131, bitIndex2)) | v84(constB132, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB131, bitIndex2)) | v84(constB132, bitIndex2))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21900,plain,
% 135.88/86.55 (((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB132, bitIndex2) | (~v84(constB131, bitIndex2))) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB131, bitIndex2)) | v84(constB132, bitIndex2))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21901,plain,
% 135.88/86.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB132, bitIndex2) | (~v84(constB131, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB131, bitIndex2)) | v84(constB132, bitIndex2)))),
% 135.88/86.55 inference(monotonicity,[status(thm)],[21900])).
% 135.88/86.55 tff(21902,plain,
% 135.88/86.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB132, bitIndex2) | (~v84(constB131, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB131, bitIndex2)) | v84(constB132, bitIndex2))),
% 135.88/86.55 inference(transitivity,[status(thm)],[21901, 21899])).
% 135.88/86.55 tff(21903,plain,
% 135.88/86.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB132, bitIndex2) | (~v84(constB131, bitIndex2)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21904,plain,
% 135.88/86.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB131, bitIndex2)) | v84(constB132, bitIndex2)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21903, 21902])).
% 135.88/86.55 tff(21905,plain,
% 135.88/86.55 (~v84(constB131, bitIndex2)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21904, 777, 767, 21826, 21840, 21897])).
% 135.88/86.55 tff(21906,plain,
% 135.88/86.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB132, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB132, bitIndex0))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21907,plain,
% 135.88/86.55 (((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB132, bitIndex0) | (~v84(constB131, bitIndex0))) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB132, bitIndex0))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21908,plain,
% 135.88/86.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB132, bitIndex0) | (~v84(constB131, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB132, bitIndex0)))),
% 135.88/86.55 inference(monotonicity,[status(thm)],[21907])).
% 135.88/86.55 tff(21909,plain,
% 135.88/86.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB132, bitIndex0) | (~v84(constB131, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB132, bitIndex0))),
% 135.88/86.55 inference(transitivity,[status(thm)],[21908, 21906])).
% 135.88/86.55 tff(21910,plain,
% 135.88/86.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB132, bitIndex0) | (~v84(constB131, bitIndex0)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21911,plain,
% 135.88/86.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB131, bitIndex0)) | v84(constB132, bitIndex0)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21910, 21909])).
% 135.88/86.55 tff(21912,plain,
% 135.88/86.55 (~v84(constB131, bitIndex0)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21911, 777, 795, 21826, 21840, 21898])).
% 135.88/86.55 tff(21913,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB131) | (~v110(constB131)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB131) | (~v110(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21914,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB131) | (~v110(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21915,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB131) | (~v110(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21914, 21913])).
% 135.88/86.55 tff(21916,plain,
% 135.88/86.55 (~v110(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21915, 680, 21888])).
% 135.88/86.55 tff(21917,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB131) | (~v111(constB131)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB131) | (~v111(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21918,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB131) | (~v111(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21919,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB131) | (~v111(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21918, 21917])).
% 135.88/86.55 tff(21920,plain,
% 135.88/86.55 (~v111(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21919, 691, 21916])).
% 135.88/86.55 tff(21921,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB131) | (~v112(constB131)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB131) | (~v112(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21922,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB131) | (~v112(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21923,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB131) | (~v112(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21922, 21921])).
% 135.88/86.55 tff(21924,plain,
% 135.88/86.55 (~v112(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21923, 702, 21920])).
% 135.88/86.55 tff(21925,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB131) | (~v113(constB131)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB131) | (~v113(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21926,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB131) | (~v113(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21927,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB131) | (~v113(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21926, 21925])).
% 135.88/86.55 tff(21928,plain,
% 135.88/86.55 (~v113(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21927, 969, 21924])).
% 135.88/86.55 tff(21929,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB131) | v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB131) | v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21930,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB131) | v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21931,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB131) | v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2)),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21930, 21929])).
% 135.88/86.55 tff(21932,plain,
% 135.88/86.55 (v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21931, 983, 21928])).
% 135.88/86.55 tff(21933,plain,
% 135.88/86.55 ($false),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21932, 21912, 21905, 21778])).
% 135.88/86.55 tff(21934,plain,(v84(constB131, bitIndex1) | v94(constB132) | v84(constB132, bitIndex0) | v84(constB132, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.55 tff(21935,plain,
% 135.88/86.55 (v84(constB131, bitIndex1)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21934, 21898, 21840, 21897])).
% 135.88/86.55 tff(21936,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB131) | (~v115(constB131)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB131) | (~v115(constB131)))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21937,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB131) | (~v115(constB131)))),
% 135.88/86.55 inference(quant_inst,[status(thm)],[])).
% 135.88/86.55 tff(21938,plain,
% 135.88/86.55 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB131) | (~v115(constB131))),
% 135.88/86.55 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 135.88/86.55 tff(21939,plain,
% 135.88/86.55 (~v115(constB131)),
% 135.88/86.55 inference(unit_resolution,[status(thm)],[21938, 945, 21920])).
% 135.88/86.55 tff(21940,plain,
% 135.88/86.55 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | ((~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v84(constB131, bitIndex0) | v115(constB131))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v84(constB131, bitIndex0) | v115(constB131))),
% 135.88/86.55 inference(rewrite,[status(thm)],[])).
% 135.88/86.55 tff(21941,plain,
% 135.88/86.55 ((v84(constB131, bitIndex0) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v115(constB131)) <=> ((~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v84(constB131, bitIndex0) | v115(constB131))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21942,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB131, bitIndex0) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v115(constB131))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | ((~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v84(constB131, bitIndex0) | v115(constB131)))),
% 135.88/86.56 inference(monotonicity,[status(thm)],[21941])).
% 135.88/86.56 tff(21943,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB131, bitIndex0) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v115(constB131))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v84(constB131, bitIndex0) | v115(constB131))),
% 135.88/86.56 inference(transitivity,[status(thm)],[21942, 21940])).
% 135.88/86.56 tff(21944,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB131, bitIndex0) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v115(constB131))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(21945,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v84(constB131, bitIndex0) | v115(constB131)),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[21944, 21943])).
% 135.88/86.56 tff(21946,plain,
% 135.88/86.56 ((~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v84(constB131, bitIndex0)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21945, 1095, 21939])).
% 135.88/86.56 tff(21947,plain,
% 135.88/86.56 ($false),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21946, 21905, 21912, 21935])).
% 135.88/86.56 tff(21948,plain,(v84(constB132, bitIndex0) | v94(constB132) | v84(constB132, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.56 tff(21949,plain,
% 135.88/86.56 (v84(constB132, bitIndex0)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21948, 21897, 21840])).
% 135.88/86.56 tff(21950,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB132, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB132, bitIndex0)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21951,plain,
% 135.88/86.56 (((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB132, bitIndex0)) | v84(constB131, bitIndex0)) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB132, bitIndex0)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21952,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB132, bitIndex0)) | v84(constB131, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB132, bitIndex0))))),
% 135.88/86.56 inference(monotonicity,[status(thm)],[21951])).
% 135.88/86.56 tff(21953,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB132, bitIndex0)) | v84(constB131, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB132, bitIndex0)))),
% 135.88/86.56 inference(transitivity,[status(thm)],[21952, 21950])).
% 135.88/86.56 tff(21954,plain,
% 135.88/86.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | (~v84(constB132, bitIndex0)) | v84(constB131, bitIndex0))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(21955,plain,
% 135.88/86.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex0)) | v84(constB131, bitIndex0) | (~v84(constB132, bitIndex0))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[21954, 21953])).
% 135.88/86.56 tff(21956,plain,
% 135.88/86.56 (v84(constB131, bitIndex0)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21955, 805, 795, 21826, 21840, 21949])).
% 135.88/86.56 tff(21957,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB131) | (~v116(constB131)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB131) | (~v116(constB131)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21958,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB131) | (~v116(constB131)))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(21959,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB131) | (~v116(constB131))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[21958, 21957])).
% 135.88/86.56 tff(21960,plain,
% 135.88/86.56 (~v116(constB131)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21959, 934, 21916])).
% 135.88/86.56 tff(21961,plain,
% 135.88/86.56 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131) | (~v84(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131) | (~v84(constB131, bitIndex0)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21962,plain,
% 135.88/86.56 (((~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131)) <=> ((~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131) | (~v84(constB131, bitIndex0)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21963,plain,
% 135.88/86.56 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131) | (~v84(constB131, bitIndex0))))),
% 135.88/86.56 inference(monotonicity,[status(thm)],[21962])).
% 135.88/86.56 tff(21964,plain,
% 135.88/86.56 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131) | (~v84(constB131, bitIndex0)))),
% 135.88/86.56 inference(transitivity,[status(thm)],[21963, 21961])).
% 135.88/86.56 tff(21965,plain,
% 135.88/86.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(21966,plain,
% 135.88/86.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | v116(constB131) | (~v84(constB131, bitIndex0))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[21965, 21964])).
% 135.88/86.56 tff(21967,plain,
% 135.88/86.56 ((~v84(constB131, bitIndex1)) | v84(constB131, bitIndex2) | (~v84(constB131, bitIndex0))),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21966, 1076, 21960])).
% 135.88/86.56 tff(21968,plain,
% 135.88/86.56 (~v84(constB131, bitIndex1)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21967, 21905, 21956])).
% 135.88/86.56 tff(21969,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB131) | (~v145(constB131)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB131) | (~v145(constB131)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21970,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB131) | (~v145(constB131)))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(21971,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB131) | (~v145(constB131))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[21970, 21969])).
% 135.88/86.56 tff(21972,plain,
% 135.88/86.56 (~v145(constB131)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21971, 713, 21924])).
% 135.88/86.56 tff(21973,plain,
% 135.88/86.56 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | v145(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | v145(constB131))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21974,plain,
% 135.88/86.56 (((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2) | v145(constB131)) <=> (v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | v145(constB131))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21975,plain,
% 135.88/86.56 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2) | v145(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | v145(constB131)))),
% 135.88/86.56 inference(monotonicity,[status(thm)],[21974])).
% 135.88/86.56 tff(21976,plain,
% 135.88/86.56 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2) | v145(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | v145(constB131))),
% 135.88/86.56 inference(transitivity,[status(thm)],[21975, 21973])).
% 135.88/86.56 tff(21977,plain,
% 135.88/86.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | v84(constB131, bitIndex2) | v145(constB131))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(21978,plain,
% 135.88/86.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | v145(constB131)),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[21977, 21976])).
% 135.88/86.56 tff(21979,plain,
% 135.88/86.56 (v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21978, 865, 21972])).
% 135.88/86.56 tff(21980,plain,
% 135.88/86.56 ($false),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21979, 21968, 21905, 21956])).
% 135.88/86.56 tff(21981,plain,(v84(constB132, bitIndex2) | v94(constB132)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.56 tff(21982,plain,
% 135.88/86.56 (v84(constB132, bitIndex2)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21981, 21840])).
% 135.88/86.56 tff(21983,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB132, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB132, bitIndex2)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21984,plain,
% 135.88/86.56 (((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB132, bitIndex2)) | v84(constB131, bitIndex2)) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB132, bitIndex2)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21985,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB132, bitIndex2)) | v84(constB131, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB132, bitIndex2))))),
% 135.88/86.56 inference(monotonicity,[status(thm)],[21984])).
% 135.88/86.56 tff(21986,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB132, bitIndex2)) | v84(constB131, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB132, bitIndex2)))),
% 135.88/86.56 inference(transitivity,[status(thm)],[21985, 21983])).
% 135.88/86.56 tff(21987,plain,
% 135.88/86.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | (~v84(constB132, bitIndex2)) | v84(constB131, bitIndex2))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(21988,plain,
% 135.88/86.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex2)) | v84(constB131, bitIndex2) | (~v84(constB132, bitIndex2))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[21987, 21986])).
% 135.88/86.56 tff(21989,plain,
% 135.88/86.56 (v84(constB131, bitIndex2)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21988, 805, 767, 21826, 21840, 21982])).
% 135.88/86.56 tff(21990,assumption,(~v172(constB131)), introduced(assumption)).
% 135.88/86.56 tff(21991,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v172(constB131) | v84(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v172(constB131) | v84(constB131, bitIndex0))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21992,plain,
% 135.88/86.56 ((v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v172(constB131)) <=> ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v172(constB131) | v84(constB131, bitIndex0))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(21993,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v172(constB131))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v172(constB131) | v84(constB131, bitIndex0)))),
% 135.88/86.56 inference(monotonicity,[status(thm)],[21992])).
% 135.88/86.56 tff(21994,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v172(constB131))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v172(constB131) | v84(constB131, bitIndex0))),
% 135.88/86.56 inference(transitivity,[status(thm)],[21993, 21991])).
% 135.88/86.56 tff(21995,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB131, bitIndex0) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v172(constB131))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(21996,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v172(constB131) | v84(constB131, bitIndex0)),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[21995, 21994])).
% 135.88/86.56 tff(21997,plain,
% 135.88/86.56 ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v84(constB131, bitIndex0)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21996, 1047, 21990])).
% 135.88/86.56 tff(21998,plain,
% 135.88/86.56 (v84(constB131, bitIndex1)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21997, 21705, 21753])).
% 135.88/86.56 tff(21999,assumption,(~v119(constB131)), introduced(assumption)).
% 135.88/86.56 tff(22000,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB131) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB131) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex0))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22001,plain,
% 135.88/86.56 ((v84(constB131, bitIndex0) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v119(constB131)) <=> (v119(constB131) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex0))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22002,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB131, bitIndex0) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v119(constB131))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB131) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex0)))),
% 135.88/86.56 inference(monotonicity,[status(thm)],[22001])).
% 135.88/86.56 tff(22003,plain,
% 135.88/86.56 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB131, bitIndex0) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v119(constB131))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB131) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex0))),
% 135.88/86.56 inference(transitivity,[status(thm)],[22002, 22000])).
% 135.88/86.56 tff(22004,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB131, bitIndex0) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v119(constB131))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(22005,plain,
% 135.88/86.56 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB131) | (~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex0)),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22004, 22003])).
% 135.88/86.56 tff(22006,plain,
% 135.88/86.56 ((~v84(constB131, bitIndex1)) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex0)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22005, 1910, 21999])).
% 135.88/86.56 tff(22007,plain,
% 135.88/86.56 ($false),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22006, 21998, 21705, 21753])).
% 135.88/86.56 tff(22008,plain,(v84(constB131, bitIndex0) | (~v84(constB131, bitIndex2)) | v119(constB131) | v172(constB131)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.56 tff(22009,plain,
% 135.88/86.56 (v84(constB131, bitIndex0)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22008, 21989, 21896, 21892])).
% 135.88/86.56 tff(22010,plain,
% 135.88/86.56 ($false),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[21911, 777, 795, 21826, 21840, 21898, 22009])).
% 135.88/86.56 tff(22011,plain,(v84(constB132, bitIndex0) | v94(constB132)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.56 tff(22012,plain,
% 135.88/86.56 (v84(constB132, bitIndex0)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22011, 21840])).
% 135.88/86.56 tff(22013,assumption,(v84(constB132, bitIndex0)), introduced(assumption)).
% 135.88/86.56 tff(22014,assumption,(~v84(constB133, bitIndex0)), introduced(assumption)).
% 135.88/86.56 tff(22015,plain,
% 135.88/86.56 ((~v1(constB133)) <=> (~v1(constB133))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22016,axiom,(~v1(constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_133_1_1')).
% 135.88/86.56 tff(22017,plain,
% 135.88/86.56 (~v1(constB133)),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22016, 22015])).
% 135.88/86.56 tff(22018,plain,
% 135.88/86.56 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22019,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_132_1')).
% 135.88/86.56 tff(22020,plain,
% 135.88/86.56 (nextState(constB132, constB133)),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22019, 22018])).
% 135.88/86.56 tff(22021,plain,
% 135.88/86.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22022,plain,
% 135.88/86.56 (((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133)) <=> (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22023,plain,
% 135.88/86.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))))),
% 135.88/86.56 inference(monotonicity,[status(thm)],[22022])).
% 135.88/86.56 tff(22024,plain,
% 135.88/86.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133)))),
% 135.88/86.56 inference(transitivity,[status(thm)],[22023, 22021])).
% 135.88/86.56 tff(22025,plain,
% 135.88/86.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB132, constB133)) | (~v95(constB133)) | v1(constB133))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(22026,plain,
% 135.88/86.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB133) | (~nextState(constB132, constB133)) | (~v95(constB133))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22025, 22024])).
% 135.88/86.56 tff(22027,plain,
% 135.88/86.56 (~v95(constB133)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22026, 742, 22020, 22017])).
% 135.88/86.56 tff(22028,plain,
% 135.88/86.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22029,plain,
% 135.88/86.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133)))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(22030,plain,
% 135.88/86.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB132, constB133)) | v95(constB133) | (~v94(constB133))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22029, 22028])).
% 135.88/86.56 tff(22031,plain,
% 135.88/86.56 (v95(constB133) | (~v94(constB133))),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22030, 759, 22020])).
% 135.88/86.56 tff(22032,plain,
% 135.88/86.56 (~v94(constB133)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22031, 22027])).
% 135.88/86.56 tff(22033,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB132, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB132, bitIndex0)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22034,plain,
% 135.88/86.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB132, bitIndex0)))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(22035,plain,
% 135.88/86.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB132, bitIndex0))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22034, 22033])).
% 135.88/86.56 tff(22036,plain,
% 135.88/86.56 ($false),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22035, 777, 795, 22020, 22032, 22014, 22013])).
% 135.88/86.56 tff(22037,plain,(v84(constB133, bitIndex0) | (~v84(constB132, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.56 tff(22038,plain,
% 135.88/86.56 (v84(constB133, bitIndex0)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22037, 22012])).
% 135.88/86.56 tff(22039,plain,
% 135.88/86.56 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB133, bitIndex0)) | (~v119(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB133, bitIndex0)) | (~v119(constB133)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22040,plain,
% 135.88/86.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB133, bitIndex0)) | (~v119(constB133)))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(22041,plain,
% 135.88/86.56 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB133, bitIndex0)) | (~v119(constB133))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22040, 22039])).
% 135.88/86.56 tff(22042,plain,
% 135.88/86.56 (~v119(constB133)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22041, 3173, 22038])).
% 135.88/86.56 tff(22043,assumption,(~v84(constB133, bitIndex2)), introduced(assumption)).
% 135.88/86.56 tff(22044,assumption,(v84(constB132, bitIndex2)), introduced(assumption)).
% 135.88/86.56 tff(22045,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex2)) | v84(constB133, bitIndex2) | (~v84(constB132, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex2)) | v84(constB133, bitIndex2) | (~v84(constB132, bitIndex2)))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22046,plain,
% 135.88/86.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex2)) | v84(constB133, bitIndex2) | (~v84(constB132, bitIndex2)))),
% 135.88/86.56 inference(quant_inst,[status(thm)],[])).
% 135.88/86.56 tff(22047,plain,
% 135.88/86.56 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex2)) | v84(constB133, bitIndex2) | (~v84(constB132, bitIndex2))),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22046, 22045])).
% 135.88/86.56 tff(22048,plain,
% 135.88/86.56 ($false),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22047, 777, 767, 22020, 22032, 22044, 22043])).
% 135.88/86.56 tff(22049,plain,(v84(constB133, bitIndex2) | (~v84(constB132, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.56 tff(22050,plain,
% 135.88/86.56 (v84(constB133, bitIndex2)),
% 135.88/86.56 inference(unit_resolution,[status(thm)],[22049, 21982])).
% 135.88/86.56 tff(22051,assumption,(v107(constB135)), introduced(assumption)).
% 135.88/86.56 tff(22052,assumption,(v84(constB133, bitIndex0)), introduced(assumption)).
% 135.88/86.56 tff(22053,assumption,(~v94(constB134)), introduced(assumption)).
% 135.88/86.56 tff(22054,assumption,(~v84(constB134, bitIndex0)), introduced(assumption)).
% 135.88/86.56 tff(22055,plain,
% 135.88/86.56 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22056,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_133_1')).
% 135.88/86.56 tff(22057,plain,
% 135.88/86.56 (nextState(constB133, constB134)),
% 135.88/86.56 inference(modus_ponens,[status(thm)],[22056, 22055])).
% 135.88/86.56 tff(22058,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB133, bitIndex0)) | v84(constB134, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB133, bitIndex0)) | v84(constB134, bitIndex0))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22059,plain,
% 135.88/86.56 (((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB134, bitIndex0) | (~v84(constB133, bitIndex0))) <=> ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB133, bitIndex0)) | v84(constB134, bitIndex0))),
% 135.88/86.56 inference(rewrite,[status(thm)],[])).
% 135.88/86.56 tff(22060,plain,
% 135.88/86.56 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB134, bitIndex0) | (~v84(constB133, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB133, bitIndex0)) | v84(constB134, bitIndex0)))),
% 135.88/86.57 inference(monotonicity,[status(thm)],[22059])).
% 135.88/86.57 tff(22061,plain,
% 135.88/86.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB134, bitIndex0) | (~v84(constB133, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB133, bitIndex0)) | v84(constB134, bitIndex0))),
% 135.88/86.57 inference(transitivity,[status(thm)],[22060, 22058])).
% 135.88/86.57 tff(22062,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB134, bitIndex0) | (~v84(constB133, bitIndex0)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22063,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB133, bitIndex0)) | v84(constB134, bitIndex0)),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 135.88/86.57 tff(22064,plain,
% 135.88/86.57 ($false),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22063, 777, 795, 22057, 22053, 22052, 22054])).
% 135.88/86.57 tff(22065,plain,(v84(constB134, bitIndex0) | v94(constB134) | (~v84(constB133, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.57 tff(22066,plain,
% 135.88/86.57 (v84(constB134, bitIndex0)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22065, 22053, 22052])).
% 135.88/86.57 tff(22067,assumption,(~v84(constB135, bitIndex0)), introduced(assumption)).
% 135.88/86.57 tff(22068,assumption,(v84(constB134, bitIndex0)), introduced(assumption)).
% 135.88/86.57 tff(22069,plain,
% 135.88/86.57 ((~v1(constB135)) <=> (~v1(constB135))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22070,axiom,(~v1(constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_135_1_1')).
% 135.88/86.57 tff(22071,plain,
% 135.88/86.57 (~v1(constB135)),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22070, 22069])).
% 135.88/86.57 tff(22072,plain,
% 135.88/86.57 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22073,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_134_1')).
% 135.88/86.57 tff(22074,plain,
% 135.88/86.57 (nextState(constB134, constB135)),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22073, 22072])).
% 135.88/86.57 tff(22075,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22076,plain,
% 135.88/86.57 (((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135)) <=> (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22077,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))))),
% 135.88/86.57 inference(monotonicity,[status(thm)],[22076])).
% 135.88/86.57 tff(22078,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135)))),
% 135.88/86.57 inference(transitivity,[status(thm)],[22077, 22075])).
% 135.88/86.57 tff(22079,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB134, constB135)) | (~v95(constB135)) | v1(constB135))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22080,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB135) | (~nextState(constB134, constB135)) | (~v95(constB135))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22079, 22078])).
% 135.88/86.57 tff(22081,plain,
% 135.88/86.57 (~v95(constB135)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22080, 742, 22074, 22071])).
% 135.88/86.57 tff(22082,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22083,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22084,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB134, constB135)) | v95(constB135) | (~v94(constB135))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22083, 22082])).
% 135.88/86.57 tff(22085,plain,
% 135.88/86.57 (v95(constB135) | (~v94(constB135))),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22084, 759, 22074])).
% 135.88/86.57 tff(22086,plain,
% 135.88/86.57 (~v94(constB135)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22085, 22081])).
% 135.88/86.57 tff(22087,plain,
% 135.88/86.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB134, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB134, bitIndex0)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22088,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB134, bitIndex0)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22089,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB134, bitIndex0))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22088, 22087])).
% 135.88/86.57 tff(22090,plain,
% 135.88/86.57 ($false),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22089, 777, 795, 22074, 22086, 22068, 22067])).
% 135.88/86.57 tff(22091,plain,(v84(constB135, bitIndex0) | (~v84(constB134, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.57 tff(22092,plain,
% 135.88/86.57 (v84(constB135, bitIndex0)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22091, 22066])).
% 135.88/86.57 tff(22093,plain,
% 135.88/86.57 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB135, bitIndex0)) | (~v115(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB135, bitIndex0)) | (~v115(constB135)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22094,plain,
% 135.88/86.57 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB135, bitIndex0)) | (~v115(constB135)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22095,plain,
% 135.88/86.57 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB135, bitIndex0)) | (~v115(constB135))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22094, 22093])).
% 135.88/86.57 tff(22096,plain,
% 135.88/86.57 (~v115(constB135)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22095, 3011, 22092])).
% 135.88/86.57 tff(22097,assumption,(~v84(constB134, bitIndex1)), introduced(assumption)).
% 135.88/86.57 tff(22098,plain,
% 135.88/86.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v84(constB133, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v84(constB133, bitIndex1)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22099,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v84(constB133, bitIndex1)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22100,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v84(constB133, bitIndex1))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22099, 22098])).
% 135.88/86.57 tff(22101,plain,
% 135.88/86.57 (v94(constB134) | (~v84(constB133, bitIndex1))),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22100, 777, 823, 22057, 22097])).
% 135.88/86.57 tff(22102,plain,
% 135.88/86.57 (~v84(constB133, bitIndex1)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22101, 22053])).
% 135.88/86.57 tff(22103,assumption,(v118(constB133)), introduced(assumption)).
% 135.88/86.57 tff(22104,assumption,(~v124(constB133, bitIndex1)), introduced(assumption)).
% 135.88/86.57 tff(22105,plain,
% 135.88/86.57 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB133)) | v124(constB133, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB133)) | v124(constB133, bitIndex1))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22106,plain,
% 135.88/86.57 (((~v118(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB133)) | v124(constB133, bitIndex1))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22107,plain,
% 135.88/86.57 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB133)) | v124(constB133, bitIndex1)))),
% 135.88/86.57 inference(monotonicity,[status(thm)],[22106])).
% 135.88/86.57 tff(22108,plain,
% 135.88/86.57 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB133)) | v124(constB133, bitIndex1))),
% 135.88/86.57 inference(transitivity,[status(thm)],[22107, 22105])).
% 135.88/86.57 tff(22109,plain,
% 135.88/86.57 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b011(bitIndex1)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22110,plain,
% 135.88/86.57 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB133)) | v124(constB133, bitIndex1)),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22109, 22108])).
% 135.88/86.57 tff(22111,plain,
% 135.88/86.57 ($false),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22110, 3033, 1145, 823, 22103, 22104])).
% 135.88/86.57 tff(22112,plain,(v124(constB133, bitIndex1) | (~v118(constB133))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.57 tff(22113,plain,
% 135.88/86.57 (v124(constB133, bitIndex1)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22112, 22103])).
% 135.88/86.57 tff(22114,assumption,(v26(constB133)), introduced(assumption)).
% 135.88/86.57 tff(22115,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22116,plain,
% 135.88/86.57 ($false),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22115, 1172, 22114])).
% 135.88/86.57 tff(22117,plain,(~v26(constB133)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.57 tff(22118,plain,
% 135.88/86.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB133) | (~less_3(bitIndex1)) | v121(constB133, bitIndex1) | (~v124(constB133, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB133) | (~less_3(bitIndex1)) | v121(constB133, bitIndex1) | (~v124(constB133, bitIndex1)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22119,plain,
% 135.88/86.57 ((v26(constB133) | v121(constB133, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB133, bitIndex1))) <=> (v26(constB133) | (~less_3(bitIndex1)) | v121(constB133, bitIndex1) | (~v124(constB133, bitIndex1)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22120,plain,
% 135.88/86.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB133) | v121(constB133, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB133, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB133) | (~less_3(bitIndex1)) | v121(constB133, bitIndex1) | (~v124(constB133, bitIndex1))))),
% 135.88/86.57 inference(monotonicity,[status(thm)],[22119])).
% 135.88/86.57 tff(22121,plain,
% 135.88/86.57 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB133) | v121(constB133, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB133, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB133) | (~less_3(bitIndex1)) | v121(constB133, bitIndex1) | (~v124(constB133, bitIndex1)))),
% 135.88/86.57 inference(transitivity,[status(thm)],[22120, 22118])).
% 135.88/86.57 tff(22122,plain,
% 135.88/86.57 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB133) | v121(constB133, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB133, bitIndex1)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22123,plain,
% 135.88/86.57 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB133) | (~less_3(bitIndex1)) | v121(constB133, bitIndex1) | (~v124(constB133, bitIndex1))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22122, 22121])).
% 135.88/86.57 tff(22124,plain,
% 135.88/86.57 (v121(constB133, bitIndex1)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22123, 1728, 823, 22117, 22113])).
% 135.88/86.57 tff(22125,assumption,(~v123(constB134, bitIndex1)), introduced(assumption)).
% 135.88/86.57 tff(22126,assumption,(v121(constB133, bitIndex1)), introduced(assumption)).
% 135.88/86.57 tff(22127,plain,
% 135.88/86.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB133, constB134)) | (~less_3(bitIndex1)) | v123(constB134, bitIndex1) | (~v121(constB133, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB133, constB134)) | (~less_3(bitIndex1)) | v123(constB134, bitIndex1) | (~v121(constB133, bitIndex1)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22128,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB133, constB134)) | (~less_3(bitIndex1)) | v123(constB134, bitIndex1) | (~v121(constB133, bitIndex1)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22129,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB133, constB134)) | (~less_3(bitIndex1)) | v123(constB134, bitIndex1) | (~v121(constB133, bitIndex1))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22128, 22127])).
% 135.88/86.57 tff(22130,plain,
% 135.88/86.57 ($false),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22129, 1708, 823, 22057, 22126, 22125])).
% 135.88/86.57 tff(22131,plain,(v123(constB134, bitIndex1) | (~v121(constB133, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.57 tff(22132,plain,
% 135.88/86.57 (v123(constB134, bitIndex1)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22131, 22124])).
% 135.88/86.57 tff(22133,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB133) | (~v118(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB133) | (~v118(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22134,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB133) | (~v118(constB133)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22135,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB133) | (~v118(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22134, 22133])).
% 135.88/86.57 tff(22136,plain,
% 135.88/86.57 (v108(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22135, 1004, 22103])).
% 135.88/86.57 tff(22137,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB133) | (~v108(constB133)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB133) | (~v108(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22138,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB133) | (~v108(constB133)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22139,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB133) | (~v108(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22138, 22137])).
% 135.88/86.57 tff(22140,plain,
% 135.88/86.57 (v107(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22139, 658, 22136])).
% 135.88/86.57 tff(22141,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | v106(constB133) | (~v107(constB133)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | v106(constB133) | (~v107(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22142,plain,
% 135.88/86.57 ((v26(constB133) | (~v107(constB133)) | v106(constB133)) <=> (v26(constB133) | v106(constB133) | (~v107(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22143,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | v106(constB133) | (~v107(constB133))))),
% 135.88/86.57 inference(monotonicity,[status(thm)],[22142])).
% 135.88/86.57 tff(22144,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | v106(constB133) | (~v107(constB133)))),
% 135.88/86.57 inference(transitivity,[status(thm)],[22143, 22141])).
% 135.88/86.57 tff(22145,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB133) | (~v107(constB133)) | v106(constB133))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22146,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB133) | v106(constB133) | (~v107(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 135.88/86.57 tff(22147,plain,
% 135.88/86.57 (v106(constB133) | (~v107(constB133))),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22146, 644, 22117])).
% 135.88/86.57 tff(22148,plain,
% 135.88/86.57 (v106(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22147, 22140])).
% 135.88/86.57 tff(22149,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB133) | (~v106(constB133)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB133) | (~v106(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22150,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB133) | (~v106(constB133)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22151,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB133) | (~v106(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22150, 22149])).
% 135.88/86.57 tff(22152,plain,
% 135.88/86.57 (v102(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22151, 619, 22148])).
% 135.88/86.57 tff(22153,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22154,plain,
% 135.88/86.57 (((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134)) <=> ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22155,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))))),
% 135.88/86.57 inference(monotonicity,[status(thm)],[22154])).
% 135.88/86.57 tff(22156,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133)))),
% 135.88/86.57 inference(transitivity,[status(thm)],[22155, 22153])).
% 135.88/86.57 tff(22157,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB133, constB134)) | (~v102(constB133)) | v104(constB134))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22158,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v102(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22157, 22156])).
% 135.88/86.57 tff(22159,plain,
% 135.88/86.57 (v104(constB134) | (~v102(constB133))),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22158, 604, 22057])).
% 135.88/86.57 tff(22160,plain,
% 135.88/86.57 (v104(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22159, 22152])).
% 135.88/86.57 tff(22161,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22162,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22163,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB133) | (~nextState(constB133, constB134)) | (~v98(constB134))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 135.88/86.57 tff(22164,plain,
% 135.88/86.57 (~v98(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22163, 541, 22057, 22017])).
% 135.88/86.57 tff(22165,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22166,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB133, constB134)) | v96(constB134) | v98(constB134))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22167,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB133, constB134)) | v96(constB134) | v98(constB134)),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22166, 22165])).
% 135.88/86.57 tff(22168,plain,
% 135.88/86.57 (v96(constB134) | v98(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22167, 555, 22057])).
% 135.88/86.57 tff(22169,plain,
% 135.88/86.57 (v96(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22168, 22164])).
% 135.88/86.57 tff(22170,plain,
% 135.88/86.57 (v1(constB134) <=> v1(constB134)),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22171,axiom,(v1(constB134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_134_1')).
% 135.88/86.57 tff(22172,plain,
% 135.88/86.57 (v1(constB134)),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22171, 22170])).
% 135.88/86.57 tff(22173,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22174,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22175,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB133, constB134)) | v95(constB134) | (~v96(constB134)) | (~v1(constB134))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22174, 22173])).
% 135.88/86.57 tff(22176,plain,
% 135.88/86.57 (v95(constB134) | (~v96(constB134))),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22175, 573, 22057, 22172])).
% 135.88/86.57 tff(22177,plain,
% 135.88/86.57 (v95(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22176, 22169])).
% 135.88/86.57 tff(22178,plain,
% 135.88/86.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22179,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22180,plain,
% 135.88/86.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB133, constB134)) | (~v95(constB134)) | (~v104(constB134)) | v94(constB134)),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22179, 22178])).
% 135.88/86.57 tff(22181,plain,
% 135.88/86.57 ((~v95(constB134)) | (~v104(constB134)) | v94(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22180, 588, 22057])).
% 135.88/86.57 tff(22182,plain,
% 135.88/86.57 ((~v104(constB134)) | v94(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22181, 22177])).
% 135.88/86.57 tff(22183,plain,
% 135.88/86.57 (v94(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22182, 22160])).
% 135.88/86.57 tff(22184,plain,
% 135.88/86.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB134)) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB134)) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22185,plain,
% 135.88/86.57 (((~less_3(bitIndex1)) | (~v94(constB134)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1))) <=> ((~v94(constB134)) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22186,plain,
% 135.88/86.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB134)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB134)) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1))))),
% 135.88/86.57 inference(monotonicity,[status(thm)],[22185])).
% 135.88/86.57 tff(22187,plain,
% 135.88/86.57 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB134)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB134)) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)))),
% 135.88/86.57 inference(transitivity,[status(thm)],[22186, 22184])).
% 135.88/86.57 tff(22188,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB134)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22189,plain,
% 135.88/86.57 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB134)) | (~less_3(bitIndex1)) | v84(constB134, bitIndex1) | (~v123(constB134, bitIndex1))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22188, 22187])).
% 135.88/86.57 tff(22190,plain,
% 135.88/86.57 ($false),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22189, 1674, 823, 22183, 22097, 22132])).
% 135.88/86.57 tff(22191,plain,((~v118(constB133)) | v84(constB134, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.57 tff(22192,plain,
% 135.88/86.57 (~v118(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22191, 22097])).
% 135.88/86.57 tff(22193,plain,
% 135.88/86.57 (~v104(constB134)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22182, 22053])).
% 135.88/86.57 tff(22194,plain,
% 135.88/86.57 (~v102(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22159, 22193])).
% 135.88/86.57 tff(22195,plain,
% 135.88/86.57 (~v106(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22151, 619, 22194])).
% 135.88/86.57 tff(22196,plain,
% 135.88/86.57 (~v107(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22147, 22195])).
% 135.88/86.57 tff(22197,plain,
% 135.88/86.57 (~v108(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22139, 658, 22196])).
% 135.88/86.57 tff(22198,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB133) | (~v109(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB133) | (~v109(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22199,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB133) | (~v109(constB133)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22200,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB133) | (~v109(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22199, 22198])).
% 135.88/86.57 tff(22201,plain,
% 135.88/86.57 (~v109(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22200, 669, 22197])).
% 135.88/86.57 tff(22202,assumption,(~v109(constB133)), introduced(assumption)).
% 135.88/86.57 tff(22203,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB133) | (~v110(constB133)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB133) | (~v110(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22204,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB133) | (~v110(constB133)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22205,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB133) | (~v110(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22204, 22203])).
% 135.88/86.57 tff(22206,plain,
% 135.88/86.57 (~v110(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22205, 680, 22202])).
% 135.88/86.57 tff(22207,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB133) | (~v111(constB133)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB133) | (~v111(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22208,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB133) | (~v111(constB133)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22209,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB133) | (~v111(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22208, 22207])).
% 135.88/86.57 tff(22210,plain,
% 135.88/86.57 (~v111(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22209, 691, 22206])).
% 135.88/86.57 tff(22211,assumption,(~v118(constB133)), introduced(assumption)).
% 135.88/86.57 tff(22212,assumption,(~v145(constB133)), introduced(assumption)).
% 135.88/86.57 tff(22213,assumption,(~v84(constB133, bitIndex1)), introduced(assumption)).
% 135.88/86.57 tff(22214,plain,
% 135.88/86.57 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB133) | (~v172(constB133)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB133) | (~v172(constB133)))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22215,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB133) | (~v172(constB133)))),
% 135.88/86.57 inference(quant_inst,[status(thm)],[])).
% 135.88/86.57 tff(22216,plain,
% 135.88/86.57 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB133) | (~v172(constB133))),
% 135.88/86.57 inference(modus_ponens,[status(thm)],[22215, 22214])).
% 135.88/86.57 tff(22217,plain,
% 135.88/86.57 (~v172(constB133)),
% 135.88/86.57 inference(unit_resolution,[status(thm)],[22216, 1033, 22202])).
% 135.88/86.57 tff(22218,assumption,(~v113(constB133)), introduced(assumption)).
% 135.88/86.57 tff(22219,plain,
% 135.88/86.57 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB133) | (~v84(constB133, bitIndex0)) | v84(constB133, bitIndex2) | v84(constB133, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB133) | (~v84(constB133, bitIndex0)) | v84(constB133, bitIndex2) | v84(constB133, bitIndex1))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22220,plain,
% 135.88/86.57 (((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2) | v145(constB133)) <=> (v145(constB133) | (~v84(constB133, bitIndex0)) | v84(constB133, bitIndex2) | v84(constB133, bitIndex1))),
% 135.88/86.57 inference(rewrite,[status(thm)],[])).
% 135.88/86.57 tff(22221,plain,
% 135.88/86.57 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2) | v145(constB133))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB133) | (~v84(constB133, bitIndex0)) | v84(constB133, bitIndex2) | v84(constB133, bitIndex1)))),
% 135.88/86.57 inference(monotonicity,[status(thm)],[22220])).
% 135.88/86.57 tff(22222,plain,
% 135.88/86.57 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2) | v145(constB133))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB133) | (~v84(constB133, bitIndex0)) | v84(constB133, bitIndex2) | v84(constB133, bitIndex1))),
% 135.88/86.58 inference(transitivity,[status(thm)],[22221, 22219])).
% 135.88/86.58 tff(22223,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2) | v145(constB133))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22224,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB133) | (~v84(constB133, bitIndex0)) | v84(constB133, bitIndex2) | v84(constB133, bitIndex1)),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22223, 22222])).
% 135.88/86.58 tff(22225,plain,
% 135.88/86.58 ((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex2) | v84(constB133, bitIndex1)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22224, 865, 22212])).
% 135.88/86.58 tff(22226,plain,
% 135.88/86.58 (~v84(constB133, bitIndex0)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22225, 22043, 22213])).
% 135.88/86.58 tff(22227,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB133) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB133) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22228,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB133) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22229,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB133) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2)),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22228, 22227])).
% 135.88/86.58 tff(22230,plain,
% 135.88/86.58 (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22229, 983, 22218])).
% 135.88/86.58 tff(22231,plain,
% 135.88/86.58 ($false),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22230, 22226, 22043, 22213])).
% 135.88/86.58 tff(22232,plain,(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | v113(constB133) | v145(constB133)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.58 tff(22233,plain,
% 135.88/86.58 (v84(constB133, bitIndex2)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22232, 22213, 22218, 22212])).
% 135.88/86.58 tff(22234,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v118(constB133))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v118(constB133))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22235,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v118(constB133))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22236,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v118(constB133)),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22235, 22234])).
% 135.88/86.58 tff(22237,plain,
% 135.88/86.58 ((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2))),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22236, 1018, 22211])).
% 135.88/86.58 tff(22238,plain,
% 135.88/86.58 (~v84(constB133, bitIndex0)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22237, 22233, 22213])).
% 135.88/86.58 tff(22239,assumption,(~v172(constB133)), introduced(assumption)).
% 135.88/86.58 tff(22240,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22241,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22242,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v172(constB133)),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22241, 22240])).
% 135.88/86.58 tff(22243,plain,
% 135.88/86.58 (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2))),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22242, 1047, 22239])).
% 135.88/86.58 tff(22244,plain,
% 135.88/86.58 ($false),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22243, 22238, 22233, 22213])).
% 135.88/86.58 tff(22245,plain,(v84(constB133, bitIndex1) | v172(constB133) | v118(constB133) | v113(constB133) | v145(constB133)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.58 tff(22246,plain,
% 135.88/86.58 (v113(constB133)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22245, 22217, 22213, 22212, 22211])).
% 135.88/86.58 tff(22247,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB133) | (~v113(constB133)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB133) | (~v113(constB133)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22248,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB133) | (~v113(constB133)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22249,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB133) | (~v113(constB133))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22248, 22247])).
% 135.88/86.58 tff(22250,plain,
% 135.88/86.58 (v112(constB133)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22249, 969, 22246])).
% 135.88/86.58 tff(22251,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB133) | (~v112(constB133)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB133) | (~v112(constB133)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22252,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB133) | (~v112(constB133)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22253,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB133) | (~v112(constB133))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22252, 22251])).
% 135.88/86.58 tff(22254,plain,
% 135.88/86.58 ($false),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22253, 702, 22250, 22210])).
% 135.88/86.58 tff(22255,plain,(v109(constB133) | v84(constB133, bitIndex1) | v145(constB133) | v118(constB133)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.58 tff(22256,plain,
% 135.88/86.58 (v145(constB133)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22255, 22201, 22192, 22102])).
% 135.88/86.58 tff(22257,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB133) | (~v145(constB133)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB133) | (~v145(constB133)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22258,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB133) | (~v145(constB133)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22259,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB133) | (~v145(constB133))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22258, 22257])).
% 135.88/86.58 tff(22260,plain,
% 135.88/86.58 (v112(constB133)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22259, 713, 22256])).
% 135.88/86.58 tff(22261,plain,
% 135.88/86.58 (~v110(constB133)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22205, 680, 22201])).
% 135.88/86.58 tff(22262,plain,
% 135.88/86.58 (~v111(constB133)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22209, 691, 22261])).
% 135.88/86.58 tff(22263,plain,
% 135.88/86.58 ($false),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22253, 702, 22262, 22260])).
% 135.88/86.58 tff(22264,plain,(v94(constB134) | v84(constB134, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.58 tff(22265,plain,
% 135.88/86.58 (v84(constB134, bitIndex1)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22264, 22053])).
% 135.88/86.58 tff(22266,assumption,(v84(constB134, bitIndex1)), introduced(assumption)).
% 135.88/86.58 tff(22267,assumption,(~v84(constB135, bitIndex1)), introduced(assumption)).
% 135.88/86.58 tff(22268,plain,
% 135.88/86.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB134, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB134, bitIndex1)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22269,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB134, bitIndex1)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22270,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB134, bitIndex1))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22269, 22268])).
% 135.88/86.58 tff(22271,plain,
% 135.88/86.58 ($false),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22270, 777, 823, 22074, 22086, 22267, 22266])).
% 135.88/86.58 tff(22272,plain,(v84(constB135, bitIndex1) | (~v84(constB134, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.58 tff(22273,plain,
% 135.88/86.58 (v84(constB135, bitIndex1)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22272, 22265])).
% 135.88/86.58 tff(22274,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB135)) | (~v84(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB135)) | (~v84(constB135, bitIndex1)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22275,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB135)) | (~v84(constB135, bitIndex1)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22276,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB135)) | (~v84(constB135, bitIndex1))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22275, 22274])).
% 135.88/86.58 tff(22277,plain,
% 135.88/86.58 (~v113(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22276, 1465, 22273])).
% 135.88/86.58 tff(22278,assumption,(v145(constB135)), introduced(assumption)).
% 135.88/86.58 tff(22279,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB135)) | (~v84(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB135)) | (~v84(constB135, bitIndex2)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22280,plain,
% 135.88/86.58 (((~v84(constB135, bitIndex2)) | (~v145(constB135))) <=> ((~v145(constB135)) | (~v84(constB135, bitIndex2)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22281,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB135, bitIndex2)) | (~v145(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB135)) | (~v84(constB135, bitIndex2))))),
% 135.88/86.58 inference(monotonicity,[status(thm)],[22280])).
% 135.88/86.58 tff(22282,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB135, bitIndex2)) | (~v145(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB135)) | (~v84(constB135, bitIndex2)))),
% 135.88/86.58 inference(transitivity,[status(thm)],[22281, 22279])).
% 135.88/86.58 tff(22283,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB135, bitIndex2)) | (~v145(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22284,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB135)) | (~v84(constB135, bitIndex2))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22283, 22282])).
% 135.88/86.58 tff(22285,plain,
% 135.88/86.58 (~v84(constB135, bitIndex2)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22284, 725, 22278])).
% 135.88/86.58 tff(22286,plain,
% 135.88/86.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB134, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB134, bitIndex2)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22287,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB134, bitIndex2)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22288,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB134, bitIndex2))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22287, 22286])).
% 135.88/86.58 tff(22289,plain,
% 135.88/86.58 (~v84(constB134, bitIndex2)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22288, 777, 767, 22074, 22086, 22285])).
% 135.88/86.58 tff(22290,plain,
% 135.88/86.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex2)) | v84(constB134, bitIndex2) | (~v84(constB133, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex2)) | v84(constB134, bitIndex2) | (~v84(constB133, bitIndex2)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22291,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex2)) | v84(constB134, bitIndex2) | (~v84(constB133, bitIndex2)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22292,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex2)) | v84(constB134, bitIndex2) | (~v84(constB133, bitIndex2))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22291, 22290])).
% 135.88/86.58 tff(22293,plain,
% 135.88/86.58 (~v84(constB133, bitIndex2)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22292, 777, 767, 22057, 22053, 22289])).
% 135.88/86.58 tff(22294,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB135)) | v84(constB135, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB135)) | v84(constB135, bitIndex0))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22295,plain,
% 135.88/86.58 ((v84(constB135, bitIndex0) | (~v145(constB135))) <=> ((~v145(constB135)) | v84(constB135, bitIndex0))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22296,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB135, bitIndex0) | (~v145(constB135)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB135)) | v84(constB135, bitIndex0)))),
% 135.88/86.58 inference(monotonicity,[status(thm)],[22295])).
% 135.88/86.58 tff(22297,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB135, bitIndex0) | (~v145(constB135)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB135)) | v84(constB135, bitIndex0))),
% 135.88/86.58 inference(transitivity,[status(thm)],[22296, 22294])).
% 135.88/86.58 tff(22298,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB135, bitIndex0) | (~v145(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22299,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB135)) | v84(constB135, bitIndex0)),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22298, 22297])).
% 135.88/86.58 tff(22300,plain,
% 135.88/86.58 (v84(constB135, bitIndex0)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22299, 788, 22278])).
% 135.88/86.58 tff(22301,plain,
% 135.88/86.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB134, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB134, bitIndex0))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22302,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB134, bitIndex0))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22303,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB134, constB135)) | v94(constB135) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB134, bitIndex0)),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22302, 22301])).
% 135.88/86.58 tff(22304,plain,
% 135.88/86.58 (v84(constB134, bitIndex0)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22303, 805, 795, 22074, 22086, 22300])).
% 135.88/86.58 tff(22305,plain,
% 135.88/86.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB134, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB134, bitIndex0)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22306,plain,
% 135.88/86.58 (((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB134, bitIndex0)) | v84(constB133, bitIndex0)) <=> ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB134, bitIndex0)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22307,plain,
% 135.88/86.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB134, bitIndex0)) | v84(constB133, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB134, bitIndex0))))),
% 135.88/86.58 inference(monotonicity,[status(thm)],[22306])).
% 135.88/86.58 tff(22308,plain,
% 135.88/86.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB134, bitIndex0)) | v84(constB133, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB134, bitIndex0)))),
% 135.88/86.58 inference(transitivity,[status(thm)],[22307, 22305])).
% 135.88/86.58 tff(22309,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | (~v84(constB134, bitIndex0)) | v84(constB133, bitIndex0))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22310,plain,
% 135.88/86.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB133, constB134)) | v94(constB134) | (~less_3(bitIndex0)) | v84(constB133, bitIndex0) | (~v84(constB134, bitIndex0))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22309, 22308])).
% 135.88/86.58 tff(22311,plain,
% 135.88/86.58 (v84(constB133, bitIndex0)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22310, 805, 795, 22057, 22053, 22304])).
% 135.88/86.58 tff(22312,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB135)) | (~v84(constB135, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB135)) | (~v84(constB135, bitIndex1)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22313,plain,
% 135.88/86.58 (((~v84(constB135, bitIndex1)) | (~v145(constB135))) <=> ((~v145(constB135)) | (~v84(constB135, bitIndex1)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22314,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v145(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB135)) | (~v84(constB135, bitIndex1))))),
% 135.88/86.58 inference(monotonicity,[status(thm)],[22313])).
% 135.88/86.58 tff(22315,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v145(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB135)) | (~v84(constB135, bitIndex1)))),
% 135.88/86.58 inference(transitivity,[status(thm)],[22314, 22312])).
% 135.88/86.58 tff(22316,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v145(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22317,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB135)) | (~v84(constB135, bitIndex1))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22316, 22315])).
% 135.88/86.58 tff(22318,plain,
% 135.88/86.58 (~v84(constB135, bitIndex1)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22317, 816, 22278])).
% 135.88/86.58 tff(22319,plain,
% 135.88/86.58 (~v84(constB134, bitIndex1)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22270, 777, 823, 22074, 22086, 22318])).
% 135.88/86.58 tff(22320,plain,
% 135.88/86.58 (~v84(constB133, bitIndex1)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22100, 777, 823, 22057, 22053, 22319])).
% 135.88/86.58 tff(22321,plain,
% 135.88/86.58 (~v112(constB133)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22253, 702, 22262])).
% 135.88/86.58 tff(22322,plain,
% 135.88/86.58 (~v145(constB133)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22259, 713, 22321])).
% 135.88/86.58 tff(22323,plain,
% 135.88/86.58 ((~v84(constB133, bitIndex0)) | v84(constB133, bitIndex2) | v84(constB133, bitIndex1)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22224, 865, 22322])).
% 135.88/86.58 tff(22324,plain,
% 135.88/86.58 ($false),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22323, 22320, 22311, 22293])).
% 135.88/86.58 tff(22325,plain,((~v145(constB135)) | v94(constB134)), inference(lemma,lemma(discharge,[]))).
% 135.88/86.58 tff(22326,plain,
% 135.88/86.58 (~v145(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22325, 22053])).
% 135.88/86.58 tff(22327,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB135) | (~v112(constB135)) | v113(constB135))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB135) | (~v112(constB135)) | v113(constB135))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22328,plain,
% 135.88/86.58 ((v113(constB135) | (~v112(constB135)) | v145(constB135)) <=> (v145(constB135) | (~v112(constB135)) | v113(constB135))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22329,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB135) | (~v112(constB135)) | v145(constB135))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB135) | (~v112(constB135)) | v113(constB135)))),
% 135.88/86.58 inference(monotonicity,[status(thm)],[22328])).
% 135.88/86.58 tff(22330,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB135) | (~v112(constB135)) | v145(constB135))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB135) | (~v112(constB135)) | v113(constB135))),
% 135.88/86.58 inference(transitivity,[status(thm)],[22329, 22327])).
% 135.88/86.58 tff(22331,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB135) | (~v112(constB135)) | v145(constB135))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22332,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB135) | (~v112(constB135)) | v113(constB135)),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22331, 22330])).
% 135.88/86.58 tff(22333,plain,
% 135.88/86.58 ((~v112(constB135)) | v113(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22332, 2894, 22326])).
% 135.88/86.58 tff(22334,plain,
% 135.88/86.58 (~v112(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22333, 22277])).
% 135.88/86.58 tff(22335,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB135) | v115(constB135) | (~v111(constB135)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB135) | v115(constB135) | (~v111(constB135)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22336,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB135) | v115(constB135) | (~v111(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22337,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB135) | v115(constB135) | (~v111(constB135))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22336, 22335])).
% 135.88/86.58 tff(22338,plain,
% 135.88/86.58 (~v111(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22337, 2911, 22334, 22096])).
% 135.88/86.58 tff(22339,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB135)) | (~v84(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB135)) | (~v84(constB135, bitIndex0)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22340,plain,
% 135.88/86.58 (((~v84(constB135, bitIndex0)) | (~v119(constB135))) <=> ((~v119(constB135)) | (~v84(constB135, bitIndex0)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22341,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB135, bitIndex0)) | (~v119(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB135)) | (~v84(constB135, bitIndex0))))),
% 135.88/86.58 inference(monotonicity,[status(thm)],[22340])).
% 135.88/86.58 tff(22342,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB135, bitIndex0)) | (~v119(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB135)) | (~v84(constB135, bitIndex0)))),
% 135.88/86.58 inference(transitivity,[status(thm)],[22341, 22339])).
% 135.88/86.58 tff(22343,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB135, bitIndex0)) | (~v119(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22344,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB135)) | (~v84(constB135, bitIndex0))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22343, 22342])).
% 135.88/86.58 tff(22345,plain,
% 135.88/86.58 (~v119(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22344, 3173, 22092])).
% 135.88/86.58 tff(22346,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB135) | v119(constB135) | (~v107(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB135) | v119(constB135) | (~v107(constB135)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22347,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB135) | v119(constB135) | (~v107(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22348,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB135) | v119(constB135) | (~v107(constB135))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22347, 22346])).
% 135.88/86.58 tff(22349,plain,
% 135.88/86.58 (v108(constB135) | v119(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22348, 3195, 22051])).
% 135.88/86.58 tff(22350,plain,
% 135.88/86.58 (v108(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22349, 22345])).
% 135.88/86.58 tff(22351,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v118(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB135, bitIndex1)) | (~v118(constB135)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22352,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v118(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22353,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB135, bitIndex1)) | (~v118(constB135))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22352, 22351])).
% 135.88/86.58 tff(22354,plain,
% 135.88/86.58 (~v118(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22353, 2842, 22273])).
% 135.88/86.58 tff(22355,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB135) | v118(constB135) | (~v108(constB135)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB135) | v118(constB135) | (~v108(constB135)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22356,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB135) | v118(constB135) | (~v108(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22357,plain,
% 135.88/86.58 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB135) | v118(constB135) | (~v108(constB135))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22356, 22355])).
% 135.88/86.58 tff(22358,plain,
% 135.88/86.58 (v109(constB135) | (~v108(constB135))),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22357, 2856, 22354])).
% 135.88/86.58 tff(22359,plain,
% 135.88/86.58 (v109(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22358, 22350])).
% 135.88/86.58 tff(22360,plain,
% 135.88/86.58 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v172(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB135, bitIndex1)) | (~v172(constB135)))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22361,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB135, bitIndex1)) | (~v172(constB135)))),
% 135.88/86.58 inference(quant_inst,[status(thm)],[])).
% 135.88/86.58 tff(22362,plain,
% 135.88/86.58 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB135, bitIndex1)) | (~v172(constB135))),
% 135.88/86.58 inference(modus_ponens,[status(thm)],[22361, 22360])).
% 135.88/86.58 tff(22363,plain,
% 135.88/86.58 (~v172(constB135)),
% 135.88/86.58 inference(unit_resolution,[status(thm)],[22362, 2289, 22273])).
% 135.88/86.58 tff(22364,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB135)) | v172(constB135) | v110(constB135))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB135)) | v172(constB135) | v110(constB135))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22365,plain,
% 135.88/86.58 ((v110(constB135) | (~v109(constB135)) | v172(constB135)) <=> ((~v109(constB135)) | v172(constB135) | v110(constB135))),
% 135.88/86.58 inference(rewrite,[status(thm)],[])).
% 135.88/86.58 tff(22366,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB135) | (~v109(constB135)) | v172(constB135))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB135)) | v172(constB135) | v110(constB135)))),
% 135.88/86.58 inference(monotonicity,[status(thm)],[22365])).
% 135.88/86.58 tff(22367,plain,
% 135.88/86.58 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB135) | (~v109(constB135)) | v172(constB135))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB135)) | v172(constB135) | v110(constB135))),
% 135.88/86.59 inference(transitivity,[status(thm)],[22366, 22364])).
% 135.88/86.59 tff(22368,plain,
% 135.88/86.59 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB135) | (~v109(constB135)) | v172(constB135))),
% 135.88/86.59 inference(quant_inst,[status(thm)],[])).
% 135.88/86.59 tff(22369,plain,
% 135.88/86.59 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB135)) | v172(constB135) | v110(constB135)),
% 135.88/86.59 inference(modus_ponens,[status(thm)],[22368, 22367])).
% 135.88/86.59 tff(22370,plain,
% 135.88/86.59 ((~v109(constB135)) | v110(constB135)),
% 135.88/86.59 inference(unit_resolution,[status(thm)],[22369, 2871, 22363])).
% 135.88/86.59 tff(22371,plain,
% 135.88/86.59 (v110(constB135)),
% 135.88/86.59 inference(unit_resolution,[status(thm)],[22370, 22359])).
% 135.88/86.59 tff(22372,assumption,(v84(constB133, bitIndex2)), introduced(assumption)).
% 135.88/86.59 tff(22373,assumption,(~v84(constB134, bitIndex2)), introduced(assumption)).
% 135.88/86.59 tff(22374,plain,
% 135.88/86.59 ($false),
% 135.88/86.59 inference(unit_resolution,[status(thm)],[22292, 777, 767, 22057, 22053, 22373, 22372])).
% 135.88/86.59 tff(22375,plain,(v84(constB134, bitIndex2) | v94(constB134) | (~v84(constB133, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.59 tff(22376,plain,
% 135.88/86.59 (v84(constB134, bitIndex2)),
% 135.88/86.59 inference(unit_resolution,[status(thm)],[22375, 22053, 22372])).
% 135.88/86.59 tff(22377,assumption,(~v84(constB135, bitIndex2)), introduced(assumption)).
% 135.88/86.59 tff(22378,assumption,(v84(constB134, bitIndex2)), introduced(assumption)).
% 135.88/86.59 tff(22379,plain,
% 135.88/86.59 ($false),
% 135.88/86.59 inference(unit_resolution,[status(thm)],[22288, 777, 767, 22074, 22086, 22378, 22377])).
% 135.88/86.59 tff(22380,plain,(v84(constB135, bitIndex2) | (~v84(constB134, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.88/86.59 tff(22381,plain,
% 135.88/86.59 (v84(constB135, bitIndex2)),
% 135.88/86.59 inference(unit_resolution,[status(thm)],[22380, 22376])).
% 135.88/86.59 tff(22382,plain,
% 135.88/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB135, bitIndex2)) | (~v116(constB135)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB135, bitIndex2)) | (~v116(constB135)))),
% 135.88/86.59 inference(rewrite,[status(thm)],[])).
% 135.88/86.59 tff(22383,plain,
% 135.88/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB135, bitIndex2)) | (~v116(constB135)))),
% 135.88/86.59 inference(quant_inst,[status(thm)],[])).
% 135.88/86.59 tff(22384,plain,
% 135.88/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB135, bitIndex2)) | (~v116(constB135))),
% 135.88/86.59 inference(modus_ponens,[status(thm)],[22383, 22382])).
% 135.88/86.59 tff(22385,plain,
% 135.88/86.59 (~v116(constB135)),
% 135.88/86.59 inference(unit_resolution,[status(thm)],[22384, 1130, 22381])).
% 135.88/86.59 tff(22386,plain,
% 135.88/86.59 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB135) | v116(constB135) | (~v110(constB135)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB135) | v116(constB135) | (~v110(constB135)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22387,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB135) | v116(constB135) | (~v110(constB135)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22388,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB135) | v116(constB135) | (~v110(constB135))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22387, 22386])).
% 135.95/86.59 tff(22389,plain,
% 135.95/86.59 ($false),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22388, 2932, 22385, 22371, 22338])).
% 135.95/86.59 tff(22390,plain,(v94(constB134) | (~v107(constB135)) | (~v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.59 tff(22391,plain,
% 135.95/86.59 (v94(constB134)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22390, 22038, 22051, 22050])).
% 135.95/86.59 tff(22392,plain,
% 135.95/86.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v94(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v94(constB134)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22393,plain,
% 135.95/86.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB133, constB134)) | v104(constB134) | (~v94(constB134)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22394,plain,
% 135.95/86.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB133, constB134)) | v104(constB134) | (~v94(constB134))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22393, 22392])).
% 135.95/86.59 tff(22395,plain,
% 135.95/86.59 (v104(constB134) | (~v94(constB134))),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22394, 3113, 22057])).
% 135.95/86.59 tff(22396,plain,
% 135.95/86.59 (v104(constB134)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22395, 22391])).
% 135.95/86.59 tff(22397,plain,
% 135.95/86.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB133, constB134)) | (~v104(constB134)) | v102(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB133, constB134)) | (~v104(constB134)) | v102(constB133))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22398,plain,
% 135.95/86.59 (((~nextState(constB133, constB134)) | v102(constB133) | (~v104(constB134))) <=> ((~nextState(constB133, constB134)) | (~v104(constB134)) | v102(constB133))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22399,plain,
% 135.95/86.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB133, constB134)) | v102(constB133) | (~v104(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB133, constB134)) | (~v104(constB134)) | v102(constB133)))),
% 135.95/86.59 inference(monotonicity,[status(thm)],[22398])).
% 135.95/86.59 tff(22400,plain,
% 135.95/86.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB133, constB134)) | v102(constB133) | (~v104(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB133, constB134)) | (~v104(constB134)) | v102(constB133))),
% 135.95/86.59 inference(transitivity,[status(thm)],[22399, 22397])).
% 135.95/86.59 tff(22401,plain,
% 135.95/86.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB133, constB134)) | v102(constB133) | (~v104(constB134)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22402,plain,
% 135.95/86.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB133, constB134)) | (~v104(constB134)) | v102(constB133)),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22401, 22400])).
% 135.95/86.59 tff(22403,plain,
% 135.95/86.59 ((~v104(constB134)) | v102(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22402, 3128, 22057])).
% 135.95/86.59 tff(22404,plain,
% 135.95/86.59 (v102(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22403, 22396])).
% 135.95/86.59 tff(22405,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB133)) | v26(constB133) | v106(constB133))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB133)) | v26(constB133) | v106(constB133))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22406,plain,
% 135.95/86.59 ((v26(constB133) | v106(constB133) | (~v102(constB133))) <=> ((~v102(constB133)) | v26(constB133) | v106(constB133))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22407,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB133) | v106(constB133) | (~v102(constB133)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB133)) | v26(constB133) | v106(constB133)))),
% 135.95/86.59 inference(monotonicity,[status(thm)],[22406])).
% 135.95/86.59 tff(22408,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB133) | v106(constB133) | (~v102(constB133)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB133)) | v26(constB133) | v106(constB133))),
% 135.95/86.59 inference(transitivity,[status(thm)],[22407, 22405])).
% 135.95/86.59 tff(22409,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB133) | v106(constB133) | (~v102(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22410,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB133)) | v26(constB133) | v106(constB133)),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22409, 22408])).
% 135.95/86.59 tff(22411,plain,
% 135.95/86.59 ((~v102(constB133)) | v106(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22410, 3146, 22117])).
% 135.95/86.59 tff(22412,plain,
% 135.95/86.59 (v106(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22411, 22404])).
% 135.95/86.59 tff(22413,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB133) | (~v106(constB133)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB133) | (~v106(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22414,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB133) | (~v106(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22415,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB133) | (~v106(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22414, 22413])).
% 135.95/86.59 tff(22416,plain,
% 135.95/86.59 (v107(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22415, 3161, 22412])).
% 135.95/86.59 tff(22417,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB133) | v119(constB133) | (~v107(constB133)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB133) | v119(constB133) | (~v107(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22418,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB133) | v119(constB133) | (~v107(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22419,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB133) | v119(constB133) | (~v107(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22418, 22417])).
% 135.95/86.59 tff(22420,plain,
% 135.95/86.59 (v108(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22419, 3195, 22416, 22042])).
% 135.95/86.59 tff(22421,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB133, bitIndex0)) | (~v113(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB133, bitIndex0)) | (~v113(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22422,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB133, bitIndex0)) | (~v113(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22423,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB133, bitIndex0)) | (~v113(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22422, 22421])).
% 135.95/86.59 tff(22424,plain,
% 135.95/86.59 (~v113(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22423, 2764, 22038])).
% 135.95/86.59 tff(22425,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB133)) | (~v84(constB133, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB133)) | (~v84(constB133, bitIndex2)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22426,plain,
% 135.95/86.59 (((~v84(constB133, bitIndex2)) | (~v145(constB133))) <=> ((~v145(constB133)) | (~v84(constB133, bitIndex2)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22427,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v145(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB133)) | (~v84(constB133, bitIndex2))))),
% 135.95/86.59 inference(monotonicity,[status(thm)],[22426])).
% 135.95/86.59 tff(22428,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v145(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB133)) | (~v84(constB133, bitIndex2)))),
% 135.95/86.59 inference(transitivity,[status(thm)],[22427, 22425])).
% 135.95/86.59 tff(22429,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v145(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22430,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB133)) | (~v84(constB133, bitIndex2))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22429, 22428])).
% 135.95/86.59 tff(22431,plain,
% 135.95/86.59 (~v145(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22430, 725, 22050])).
% 135.95/86.59 tff(22432,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB133) | (~v112(constB133)) | v113(constB133))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB133) | (~v112(constB133)) | v113(constB133))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22433,plain,
% 135.95/86.59 ((v113(constB133) | (~v112(constB133)) | v145(constB133)) <=> (v145(constB133) | (~v112(constB133)) | v113(constB133))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22434,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB133) | (~v112(constB133)) | v145(constB133))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB133) | (~v112(constB133)) | v113(constB133)))),
% 135.95/86.59 inference(monotonicity,[status(thm)],[22433])).
% 135.95/86.59 tff(22435,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB133) | (~v112(constB133)) | v145(constB133))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB133) | (~v112(constB133)) | v113(constB133))),
% 135.95/86.59 inference(transitivity,[status(thm)],[22434, 22432])).
% 135.95/86.59 tff(22436,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB133) | (~v112(constB133)) | v145(constB133))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22437,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB133) | (~v112(constB133)) | v113(constB133)),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22436, 22435])).
% 135.95/86.59 tff(22438,plain,
% 135.95/86.59 (~v112(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22437, 2894, 22431, 22424])).
% 135.95/86.59 tff(22439,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB133, bitIndex0)) | (~v115(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB133, bitIndex0)) | (~v115(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22440,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB133, bitIndex0)) | (~v115(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22441,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB133, bitIndex0)) | (~v115(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22440, 22439])).
% 135.95/86.59 tff(22442,plain,
% 135.95/86.59 (~v115(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22441, 3011, 22038])).
% 135.95/86.59 tff(22443,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB133) | v115(constB133) | (~v111(constB133)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB133) | v115(constB133) | (~v111(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22444,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB133) | v115(constB133) | (~v111(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22445,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB133) | v115(constB133) | (~v111(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22444, 22443])).
% 135.95/86.59 tff(22446,plain,
% 135.95/86.59 (v112(constB133) | (~v111(constB133))),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22445, 2911, 22442])).
% 135.95/86.59 tff(22447,plain,
% 135.95/86.59 (~v111(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22446, 22438])).
% 135.95/86.59 tff(22448,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v116(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB133, bitIndex2)) | (~v116(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22449,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB133, bitIndex2)) | (~v116(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22450,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB133, bitIndex2)) | (~v116(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22449, 22448])).
% 135.95/86.59 tff(22451,plain,
% 135.95/86.59 (~v116(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22450, 1130, 22050])).
% 135.95/86.59 tff(22452,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB133) | v116(constB133) | (~v110(constB133)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB133) | v116(constB133) | (~v110(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22453,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB133) | v116(constB133) | (~v110(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22454,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB133) | v116(constB133) | (~v110(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22453, 22452])).
% 135.95/86.59 tff(22455,plain,
% 135.95/86.59 (v111(constB133) | (~v110(constB133))),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22454, 2932, 22451])).
% 135.95/86.59 tff(22456,plain,
% 135.95/86.59 (~v110(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22455, 22447])).
% 135.95/86.59 tff(22457,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB133, bitIndex0)) | (~v172(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB133, bitIndex0)) | (~v172(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22458,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB133, bitIndex0)) | (~v172(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22459,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB133, bitIndex0)) | (~v172(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22458, 22457])).
% 135.95/86.59 tff(22460,plain,
% 135.95/86.59 (~v172(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22459, 7708, 22038])).
% 135.95/86.59 tff(22461,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB133)) | v172(constB133) | v110(constB133))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB133)) | v172(constB133) | v110(constB133))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22462,plain,
% 135.95/86.59 ((v110(constB133) | (~v109(constB133)) | v172(constB133)) <=> ((~v109(constB133)) | v172(constB133) | v110(constB133))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22463,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB133) | (~v109(constB133)) | v172(constB133))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB133)) | v172(constB133) | v110(constB133)))),
% 135.95/86.59 inference(monotonicity,[status(thm)],[22462])).
% 135.95/86.59 tff(22464,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB133) | (~v109(constB133)) | v172(constB133))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB133)) | v172(constB133) | v110(constB133))),
% 135.95/86.59 inference(transitivity,[status(thm)],[22463, 22461])).
% 135.95/86.59 tff(22465,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB133) | (~v109(constB133)) | v172(constB133))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22466,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB133)) | v172(constB133) | v110(constB133)),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22465, 22464])).
% 135.95/86.59 tff(22467,plain,
% 135.95/86.59 ((~v109(constB133)) | v110(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22466, 2871, 22460])).
% 135.95/86.59 tff(22468,plain,
% 135.95/86.59 (~v109(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22467, 22456])).
% 135.95/86.59 tff(22469,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB131) | (~v118(constB131)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB131) | (~v118(constB131)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22470,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB131) | (~v118(constB131)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22471,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB131) | (~v118(constB131))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22470, 22469])).
% 135.95/86.59 tff(22472,plain,
% 135.95/86.59 (~v118(constB131)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22471, 1004, 21884])).
% 135.95/86.59 tff(22473,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v118(constB131) | (~v84(constB131, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v118(constB131) | (~v84(constB131, bitIndex0)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22474,plain,
% 135.95/86.59 (((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131)) <=> ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v118(constB131) | (~v84(constB131, bitIndex0)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22475,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v118(constB131) | (~v84(constB131, bitIndex0))))),
% 135.95/86.59 inference(monotonicity,[status(thm)],[22474])).
% 135.95/86.59 tff(22476,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v118(constB131) | (~v84(constB131, bitIndex0)))),
% 135.95/86.59 inference(transitivity,[status(thm)],[22475, 22473])).
% 135.95/86.59 tff(22477,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB131, bitIndex0)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex2)) | v118(constB131))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22478,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | v118(constB131) | (~v84(constB131, bitIndex0))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22477, 22476])).
% 135.95/86.59 tff(22479,plain,
% 135.95/86.59 ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22478, 1018, 22472])).
% 135.95/86.59 tff(22480,plain,
% 135.95/86.59 (v84(constB131, bitIndex1)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22479, 22009, 21989])).
% 135.95/86.59 tff(22481,assumption,(~v84(constB132, bitIndex1)), introduced(assumption)).
% 135.95/86.59 tff(22482,plain,
% 135.95/86.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | (~v84(constB131, bitIndex1)) | v84(constB132, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | (~v84(constB131, bitIndex1)) | v84(constB132, bitIndex1))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22483,plain,
% 135.95/86.59 (((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | v84(constB132, bitIndex1) | (~v84(constB131, bitIndex1))) <=> ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | (~v84(constB131, bitIndex1)) | v84(constB132, bitIndex1))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22484,plain,
% 135.95/86.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | v84(constB132, bitIndex1) | (~v84(constB131, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | (~v84(constB131, bitIndex1)) | v84(constB132, bitIndex1)))),
% 135.95/86.59 inference(monotonicity,[status(thm)],[22483])).
% 135.95/86.59 tff(22485,plain,
% 135.95/86.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | v84(constB132, bitIndex1) | (~v84(constB131, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | (~v84(constB131, bitIndex1)) | v84(constB132, bitIndex1))),
% 135.95/86.59 inference(transitivity,[status(thm)],[22484, 22482])).
% 135.95/86.59 tff(22486,plain,
% 135.95/86.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | v84(constB132, bitIndex1) | (~v84(constB131, bitIndex1)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22487,plain,
% 135.95/86.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB131, constB132)) | v94(constB132) | (~less_3(bitIndex1)) | (~v84(constB131, bitIndex1)) | v84(constB132, bitIndex1)),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22486, 22485])).
% 135.95/86.59 tff(22488,plain,
% 135.95/86.59 ($false),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22487, 777, 823, 21826, 21840, 22481, 22480])).
% 135.95/86.59 tff(22489,plain,(v84(constB132, bitIndex1) | v94(constB132)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.59 tff(22490,plain,
% 135.95/86.59 (v84(constB132, bitIndex1)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22489, 21840])).
% 135.95/86.59 tff(22491,assumption,(v84(constB132, bitIndex1)), introduced(assumption)).
% 135.95/86.59 tff(22492,plain,
% 135.95/86.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex1)) | v84(constB133, bitIndex1) | (~v84(constB132, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex1)) | v84(constB133, bitIndex1) | (~v84(constB132, bitIndex1)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22493,plain,
% 135.95/86.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex1)) | v84(constB133, bitIndex1) | (~v84(constB132, bitIndex1)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22494,plain,
% 135.95/86.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB132, constB133)) | v94(constB133) | (~less_3(bitIndex1)) | v84(constB133, bitIndex1) | (~v84(constB132, bitIndex1))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22493, 22492])).
% 135.95/86.59 tff(22495,plain,
% 135.95/86.59 ($false),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22494, 777, 823, 22020, 22032, 22213, 22491])).
% 135.95/86.59 tff(22496,plain,(v84(constB133, bitIndex1) | (~v84(constB132, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.59 tff(22497,plain,
% 135.95/86.59 (v84(constB133, bitIndex1)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22496, 22490])).
% 135.95/86.59 tff(22498,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB133, bitIndex1)) | (~v118(constB133)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB133, bitIndex1)) | (~v118(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22499,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB133, bitIndex1)) | (~v118(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22500,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB133, bitIndex1)) | (~v118(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22499, 22498])).
% 135.95/86.59 tff(22501,plain,
% 135.95/86.59 (~v118(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22500, 2842, 22497])).
% 135.95/86.59 tff(22502,plain,
% 135.95/86.59 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB133) | v118(constB133) | (~v108(constB133)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB133) | v118(constB133) | (~v108(constB133)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22503,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB133) | v118(constB133) | (~v108(constB133)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22504,plain,
% 135.95/86.59 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB133) | v118(constB133) | (~v108(constB133))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22503, 22502])).
% 135.95/86.59 tff(22505,plain,
% 135.95/86.59 ($false),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22504, 2856, 22501, 22468, 22420])).
% 135.95/86.59 tff(22506,plain,(v94(constB132) | (~v107(constB135))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.59 tff(22507,plain,
% 135.95/86.59 (~v107(constB135)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22506, 21840])).
% 135.95/86.59 tff(22508,assumption,(~v84(constB136, bitIndex1)), introduced(assumption)).
% 135.95/86.59 tff(22509,plain,
% 135.95/86.59 (v94(constB134)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22264, 22097])).
% 135.95/86.59 tff(22510,assumption,(v123(constB134, bitIndex1)), introduced(assumption)).
% 135.95/86.59 tff(22511,assumption,(v94(constB134)), introduced(assumption)).
% 135.95/86.59 tff(22512,plain,
% 135.95/86.59 ($false),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22189, 1674, 823, 22511, 22097, 22510])).
% 135.95/86.59 tff(22513,plain,(v84(constB134, bitIndex1) | (~v94(constB134)) | (~v123(constB134, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.59 tff(22514,plain,
% 135.95/86.59 (~v123(constB134, bitIndex1)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22513, 22097, 22509])).
% 135.95/86.59 tff(22515,plain,
% 135.95/86.59 (~v121(constB133, bitIndex1)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22131, 22514])).
% 135.95/86.59 tff(22516,assumption,(v84(constB133, bitIndex1)), introduced(assumption)).
% 135.95/86.59 tff(22517,plain,
% 135.95/86.59 (v104(constB134)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22395, 22509])).
% 135.95/86.59 tff(22518,plain,
% 135.95/86.59 (v102(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22403, 22517])).
% 135.95/86.59 tff(22519,plain,
% 135.95/86.59 (v106(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22411, 22518])).
% 135.95/86.59 tff(22520,plain,
% 135.95/86.59 (v107(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22415, 3161, 22519])).
% 135.95/86.59 tff(22521,plain,
% 135.95/86.59 (~v116(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22450, 1130, 22372])).
% 135.95/86.59 tff(22522,plain,
% 135.95/86.59 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB133)) | (~v84(constB133, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB133)) | (~v84(constB133, bitIndex1)))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22523,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB133)) | (~v84(constB133, bitIndex1)))),
% 135.95/86.59 inference(quant_inst,[status(thm)],[])).
% 135.95/86.59 tff(22524,plain,
% 135.95/86.59 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB133)) | (~v84(constB133, bitIndex1))),
% 135.95/86.59 inference(modus_ponens,[status(thm)],[22523, 22522])).
% 135.95/86.59 tff(22525,plain,
% 135.95/86.59 (~v113(constB133)),
% 135.95/86.59 inference(unit_resolution,[status(thm)],[22524, 1465, 22516])).
% 135.95/86.59 tff(22526,plain,
% 135.95/86.59 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB133)) | v124(constB133, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22527,plain,
% 135.95/86.59 (((~v145(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.59 inference(rewrite,[status(thm)],[])).
% 135.95/86.59 tff(22528,plain,
% 135.95/86.59 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB133)) | v124(constB133, bitIndex1)))),
% 135.95/86.59 inference(monotonicity,[status(thm)],[22527])).
% 135.95/86.59 tff(22529,plain,
% 135.95/86.59 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.59 inference(transitivity,[status(thm)],[22528, 22526])).
% 135.95/86.59 tff(22530,plain,
% 135.95/86.59 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b010(bitIndex1)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22531,plain,
% 135.95/86.60 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~b010(bitIndex1)) | (~v145(constB133)) | v124(constB133, bitIndex1)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22530, 22529])).
% 135.95/86.60 tff(22532,plain,
% 135.95/86.60 (~v145(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22531, 1821, 1818, 823, 22104])).
% 135.95/86.60 tff(22533,plain,
% 135.95/86.60 ((~v112(constB133)) | v113(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22437, 2894, 22532])).
% 135.95/86.60 tff(22534,plain,
% 135.95/86.60 (~v112(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22533, 22525])).
% 135.95/86.60 tff(22535,assumption,(v115(constB133)), introduced(assumption)).
% 135.95/86.60 tff(22536,plain,
% 135.95/86.60 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB133)) | v124(constB133, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22537,plain,
% 135.95/86.60 (((~v115(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22538,plain,
% 135.95/86.60 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB133)) | v124(constB133, bitIndex1)))),
% 135.95/86.60 inference(monotonicity,[status(thm)],[22537])).
% 135.95/86.60 tff(22539,plain,
% 135.95/86.60 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.60 inference(transitivity,[status(thm)],[22538, 22536])).
% 135.95/86.60 tff(22540,plain,
% 135.95/86.60 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b011(bitIndex1)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22541,plain,
% 135.95/86.60 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB133)) | v124(constB133, bitIndex1)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22540, 22539])).
% 135.95/86.60 tff(22542,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22541, 3033, 1193, 823, 22535, 22104])).
% 135.95/86.60 tff(22543,plain,(v124(constB133, bitIndex1) | (~v115(constB133))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22544,plain,
% 135.95/86.60 (~v115(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22543, 22104])).
% 135.95/86.60 tff(22545,plain,
% 135.95/86.60 (v112(constB133) | (~v111(constB133))),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22445, 2911, 22544])).
% 135.95/86.60 tff(22546,plain,
% 135.95/86.60 (~v111(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22545, 22534])).
% 135.95/86.60 tff(22547,plain,
% 135.95/86.60 (~v119(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22041, 3173, 22052])).
% 135.95/86.60 tff(22548,assumption,(v107(constB133)), introduced(assumption)).
% 135.95/86.60 tff(22549,plain,
% 135.95/86.60 (v108(constB133) | v119(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22419, 3195, 22548])).
% 135.95/86.60 tff(22550,plain,
% 135.95/86.60 (v108(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22549, 22547])).
% 135.95/86.60 tff(22551,plain,
% 135.95/86.60 (v109(constB133) | (~v108(constB133))),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22504, 2856, 22211])).
% 135.95/86.60 tff(22552,plain,
% 135.95/86.60 (v109(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22551, 22550])).
% 135.95/86.60 tff(22553,assumption,(v172(constB133)), introduced(assumption)).
% 135.95/86.60 tff(22554,plain,
% 135.95/86.60 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB133)) | v124(constB133, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22555,plain,
% 135.95/86.60 (((~v172(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22556,plain,
% 135.95/86.60 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB133)) | v124(constB133, bitIndex1)))),
% 135.95/86.60 inference(monotonicity,[status(thm)],[22555])).
% 135.95/86.60 tff(22557,plain,
% 135.95/86.60 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB133)) | v124(constB133, bitIndex1))),
% 135.95/86.60 inference(transitivity,[status(thm)],[22556, 22554])).
% 135.95/86.60 tff(22558,plain,
% 135.95/86.60 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB133)) | (~less_3(bitIndex1)) | v124(constB133, bitIndex1) | (~b110(bitIndex1)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22559,plain,
% 135.95/86.60 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB133)) | v124(constB133, bitIndex1)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22558, 22557])).
% 135.95/86.60 tff(22560,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22559, 1801, 1798, 823, 22553, 22104])).
% 135.95/86.60 tff(22561,plain,(v124(constB133, bitIndex1) | (~v172(constB133))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22562,plain,
% 135.95/86.60 (~v172(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22561, 22104])).
% 135.95/86.60 tff(22563,plain,
% 135.95/86.60 ((~v109(constB133)) | v110(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22466, 2871, 22562])).
% 135.95/86.60 tff(22564,plain,
% 135.95/86.60 (v110(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22563, 22552])).
% 135.95/86.60 tff(22565,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22454, 2932, 22564, 22546, 22521])).
% 135.95/86.60 tff(22566,plain,(v124(constB133, bitIndex1) | (~v84(constB133, bitIndex2)) | v118(constB133) | (~v107(constB133)) | (~v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22567,plain,
% 135.95/86.60 (v124(constB133, bitIndex1)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22566, 22192, 22372, 22520, 22052, 22516])).
% 135.95/86.60 tff(22568,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22123, 1728, 823, 22117, 22567, 22515])).
% 135.95/86.60 tff(22569,plain,(v84(constB134, bitIndex1) | (~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22570,plain,
% 135.95/86.60 (v84(constB134, bitIndex1)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22569, 22038, 22050, 22497])).
% 135.95/86.60 tff(22571,plain,
% 135.95/86.60 (v84(constB135, bitIndex1)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22272, 22570])).
% 135.95/86.60 tff(22572,assumption,(v84(constB135, bitIndex1)), introduced(assumption)).
% 135.95/86.60 tff(22573,assumption,(~v94(constB136)), introduced(assumption)).
% 135.95/86.60 tff(22574,plain,
% 135.95/86.60 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22575,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_135_1')).
% 135.95/86.60 tff(22576,plain,
% 135.95/86.60 (nextState(constB135, constB136)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22575, 22574])).
% 135.95/86.60 tff(22577,plain,
% 135.95/86.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB135, bitIndex1)) | v84(constB136, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB135, bitIndex1)) | v84(constB136, bitIndex1))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22578,plain,
% 135.95/86.60 (((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB136, bitIndex1) | (~v84(constB135, bitIndex1))) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB135, bitIndex1)) | v84(constB136, bitIndex1))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22579,plain,
% 135.95/86.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB136, bitIndex1) | (~v84(constB135, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB135, bitIndex1)) | v84(constB136, bitIndex1)))),
% 135.95/86.60 inference(monotonicity,[status(thm)],[22578])).
% 135.95/86.60 tff(22580,plain,
% 135.95/86.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB136, bitIndex1) | (~v84(constB135, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB135, bitIndex1)) | v84(constB136, bitIndex1))),
% 135.95/86.60 inference(transitivity,[status(thm)],[22579, 22577])).
% 135.95/86.60 tff(22581,plain,
% 135.95/86.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB136, bitIndex1) | (~v84(constB135, bitIndex1)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22582,plain,
% 135.95/86.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB135, bitIndex1)) | v84(constB136, bitIndex1)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22581, 22580])).
% 135.95/86.60 tff(22583,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22582, 777, 823, 22576, 22573, 22508, 22572])).
% 135.95/86.60 tff(22584,plain,(v84(constB136, bitIndex1) | v94(constB136) | (~v84(constB135, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22585,plain,
% 135.95/86.60 (v94(constB136)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22584, 22571, 22508])).
% 135.95/86.60 tff(22586,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v94(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v94(constB136)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22587,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v94(constB136)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22588,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v94(constB136))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 135.95/86.60 tff(22589,plain,
% 135.95/86.60 (v104(constB136) | (~v94(constB136))),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22588, 3113, 22576])).
% 135.95/86.60 tff(22590,plain,
% 135.95/86.60 (v104(constB136)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22589, 22585])).
% 135.95/86.60 tff(22591,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB135, constB136)) | (~v104(constB136)) | v102(constB135))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB135, constB136)) | (~v104(constB136)) | v102(constB135))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22592,plain,
% 135.95/86.60 (((~nextState(constB135, constB136)) | v102(constB135) | (~v104(constB136))) <=> ((~nextState(constB135, constB136)) | (~v104(constB136)) | v102(constB135))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22593,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB135, constB136)) | v102(constB135) | (~v104(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB135, constB136)) | (~v104(constB136)) | v102(constB135)))),
% 135.95/86.60 inference(monotonicity,[status(thm)],[22592])).
% 135.95/86.60 tff(22594,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB135, constB136)) | v102(constB135) | (~v104(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB135, constB136)) | (~v104(constB136)) | v102(constB135))),
% 135.95/86.60 inference(transitivity,[status(thm)],[22593, 22591])).
% 135.95/86.60 tff(22595,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB135, constB136)) | v102(constB135) | (~v104(constB136)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22596,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB135, constB136)) | (~v104(constB136)) | v102(constB135)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22595, 22594])).
% 135.95/86.60 tff(22597,plain,
% 135.95/86.60 ((~v104(constB136)) | v102(constB135)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22596, 3128, 22576])).
% 135.95/86.60 tff(22598,plain,
% 135.95/86.60 (v102(constB135)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22597, 22590])).
% 135.95/86.60 tff(22599,assumption,(v26(constB135)), introduced(assumption)).
% 135.95/86.60 tff(22600,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22601,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22600, 1172, 22599])).
% 135.95/86.60 tff(22602,plain,(~v26(constB135)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22603,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB135)) | v26(constB135) | v106(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB135)) | v26(constB135) | v106(constB135))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22604,plain,
% 135.95/86.60 ((v26(constB135) | v106(constB135) | (~v102(constB135))) <=> ((~v102(constB135)) | v26(constB135) | v106(constB135))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22605,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB135) | v106(constB135) | (~v102(constB135)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB135)) | v26(constB135) | v106(constB135)))),
% 135.95/86.60 inference(monotonicity,[status(thm)],[22604])).
% 135.95/86.60 tff(22606,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB135) | v106(constB135) | (~v102(constB135)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB135)) | v26(constB135) | v106(constB135))),
% 135.95/86.60 inference(transitivity,[status(thm)],[22605, 22603])).
% 135.95/86.60 tff(22607,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB135) | v106(constB135) | (~v102(constB135)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22608,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB135)) | v26(constB135) | v106(constB135)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22607, 22606])).
% 135.95/86.60 tff(22609,plain,
% 135.95/86.60 ((~v102(constB135)) | v106(constB135)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22608, 3146, 22602])).
% 135.95/86.60 tff(22610,plain,
% 135.95/86.60 (v106(constB135)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22609, 22598])).
% 135.95/86.60 tff(22611,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB135) | (~v106(constB135)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB135) | (~v106(constB135)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22612,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB135) | (~v106(constB135)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22613,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB135) | (~v106(constB135))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 135.95/86.60 tff(22614,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22613, 3161, 22610, 22507])).
% 135.95/86.60 tff(22615,plain,(v94(constB132) | v84(constB136, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22616,plain,
% 135.95/86.60 (v84(constB136, bitIndex1)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22615, 21839])).
% 135.95/86.60 tff(22617,assumption,(~v84(sK0_VarCurr, bitIndex2)), introduced(assumption)).
% 135.95/86.60 tff(22618,assumption,(constB135 = sK0_VarCurr), introduced(assumption)).
% 135.95/86.60 tff(22619,plain,
% 135.95/86.60 (v162(constB135) <=> v162(sK0_VarCurr)),
% 135.95/86.60 inference(monotonicity,[status(thm)],[22618])).
% 135.95/86.60 tff(22620,plain,
% 135.95/86.60 (v162(sK0_VarCurr) <=> v162(constB135)),
% 135.95/86.60 inference(symmetry,[status(thm)],[22619])).
% 135.95/86.60 tff(22621,plain,
% 135.95/86.60 (v162(constB135)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[19, 22620])).
% 135.95/86.60 tff(22622,assumption,(~v162(constB135)), introduced(assumption)).
% 135.95/86.60 tff(22623,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22622, 22621])).
% 135.95/86.60 tff(22624,plain,((~(constB135 = sK0_VarCurr)) | v162(constB135)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22625,plain,
% 135.95/86.60 (v162(constB135)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22624, 22618])).
% 135.95/86.60 tff(22626,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22627,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22628,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB134, constB135)) | v160(constB134) | (~v162(constB135))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22627, 22626])).
% 135.95/86.60 tff(22629,plain,
% 135.95/86.60 (v160(constB134) | (~v162(constB135))),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22628, 37, 22074])).
% 135.95/86.60 tff(22630,plain,
% 135.95/86.60 (v160(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22629, 22625])).
% 135.95/86.60 tff(22631,plain,
% 135.95/86.60 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22632,plain,
% 135.95/86.60 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB134)) | (~v141(constB134)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22633,plain,
% 135.95/86.60 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB134)) | (~v141(constB134))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22632, 22631])).
% 135.95/86.60 tff(22634,plain,
% 135.95/86.60 (~v141(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22633, 52, 22172])).
% 135.95/86.60 tff(22635,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB134) | (~v155(constB134)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB134) | (~v155(constB134)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22636,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB134) | (~v155(constB134)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22637,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB134) | (~v155(constB134))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22636, 22635])).
% 135.95/86.60 tff(22638,plain,
% 135.95/86.60 (~v155(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22637, 63, 22634])).
% 135.95/86.60 tff(22639,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB134) | (~v164(constB134)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB134) | (~v164(constB134)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22640,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | (v155(constB134) | (~v164(constB134)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22641,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v155(VarCurr) | (~v164(VarCurr)))) | v155(constB134) | (~v164(constB134))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22640, 22639])).
% 135.95/86.60 tff(22642,plain,
% 135.95/86.60 (~v164(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22641, 74, 22638])).
% 135.95/86.60 tff(22643,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB134)) | v164(constB134) | v163(constB134))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22644,plain,
% 135.95/86.60 ((v164(constB134) | v163(constB134) | (~v160(constB134))) <=> ((~v160(constB134)) | v164(constB134) | v163(constB134))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22645,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB134)) | v164(constB134) | v163(constB134)))),
% 135.95/86.60 inference(monotonicity,[status(thm)],[22644])).
% 135.95/86.60 tff(22646,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134))),
% 135.95/86.60 inference(transitivity,[status(thm)],[22645, 22643])).
% 135.95/86.60 tff(22647,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB134) | v163(constB134) | (~v160(constB134)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22648,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB134)) | v164(constB134) | v163(constB134)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22647, 22646])).
% 135.95/86.60 tff(22649,plain,
% 135.95/86.60 ((~v160(constB134)) | v163(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22648, 88, 22642])).
% 135.95/86.60 tff(22650,plain,
% 135.95/86.60 (v163(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22649, 22630])).
% 135.95/86.60 tff(22651,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))) <=> ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22652,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | (v162(constB134) | (~v163(constB134)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22653,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v162(VarCurr) | (~v163(VarCurr)))) | v162(constB134) | (~v163(constB134))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 135.95/86.60 tff(22654,plain,
% 135.95/86.60 (v162(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22653, 103, 22650])).
% 135.95/86.60 tff(22655,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22656,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | ((~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22657,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v160(VarCurr) | (~v162(VarNext)))) | (~nextState(constB133, constB134)) | v160(constB133) | (~v162(constB134))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22656, 22655])).
% 135.95/86.60 tff(22658,plain,
% 135.95/86.60 (v160(constB133) | (~v162(constB134))),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22657, 37, 22057])).
% 135.95/86.60 tff(22659,plain,
% 135.95/86.60 (v160(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22658, 22654])).
% 135.95/86.60 tff(22660,assumption,(v18(constB134)), introduced(assumption)).
% 135.95/86.60 tff(22661,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB134))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22662,plain,
% 135.95/86.60 ($false),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22661, 123, 22660])).
% 135.95/86.60 tff(22663,plain,(~v18(constB134)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.60 tff(22664,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22665,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB134) | (~v1(constB134)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22666,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB134) | (~v1(constB134))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22665, 22664])).
% 135.95/86.60 tff(22667,plain,
% 135.95/86.60 (v22(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22666, 133, 22172])).
% 135.95/86.60 tff(22668,plain,
% 135.95/86.60 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22669,plain,
% 135.95/86.60 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB134)) | (~v22(constB134)) | v18(constB134))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22670,plain,
% 135.95/86.60 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB134)) | (~v22(constB134)) | v18(constB134)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22669, 22668])).
% 135.95/86.60 tff(22671,plain,
% 135.95/86.60 ((~v19(constB134)) | v18(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22670, 147, 22667])).
% 135.95/86.60 tff(22672,plain,
% 135.95/86.60 (~v19(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22671, 22663])).
% 135.95/86.60 tff(22673,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22674,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB134) | v19(constB134))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22675,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB134) | v19(constB134)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22674, 22673])).
% 135.95/86.60 tff(22676,plain,
% 135.95/86.60 (v13(constB134)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22675, 162, 22672])).
% 135.95/86.60 tff(22677,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22678,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22679,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB133, constB134)) | (~v13(constB134)) | v9(constB133)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22678, 22677])).
% 135.95/86.60 tff(22680,plain,
% 135.95/86.60 ((~v13(constB134)) | v9(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22679, 176, 22057])).
% 135.95/86.60 tff(22681,plain,
% 135.95/86.60 (v9(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22680, 22676])).
% 135.95/86.60 tff(22682,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22683,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB133) | (~v9(constB133)) | v141(constB133))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22684,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB133) | (~v9(constB133)) | v141(constB133)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22683, 22682])).
% 135.95/86.60 tff(22685,plain,
% 135.95/86.60 ((~v9(constB133)) | v141(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22684, 194, 22017])).
% 135.95/86.60 tff(22686,plain,
% 135.95/86.60 (v141(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22685, 22681])).
% 135.95/86.60 tff(22687,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB133) | (~v141(constB133)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB133) | (~v141(constB133)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22688,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB133) | (~v141(constB133)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22689,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB133) | (~v141(constB133))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22688, 22687])).
% 135.95/86.60 tff(22690,plain,
% 135.95/86.60 (v140(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22689, 206, 22686])).
% 135.95/86.60 tff(22691,plain,
% 135.95/86.60 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22692,plain,
% 135.95/86.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | ((~v140(constB133)) | (~v163(constB133)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22693,plain,
% 135.95/86.60 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v163(VarCurr)))) | (~v140(constB133)) | (~v163(constB133))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22692, 22691])).
% 135.95/86.60 tff(22694,plain,
% 135.95/86.60 (~v163(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22693, 217, 22690])).
% 135.95/86.60 tff(22695,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB133)) | v164(constB133) | v163(constB133))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22696,plain,
% 135.95/86.60 ((v164(constB133) | v163(constB133) | (~v160(constB133))) <=> ((~v160(constB133)) | v164(constB133) | v163(constB133))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22697,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | ((~v160(constB133)) | v164(constB133) | v163(constB133)))),
% 135.95/86.60 inference(monotonicity,[status(thm)],[22696])).
% 135.95/86.60 tff(22698,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))) <=> ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133))),
% 135.95/86.60 inference(transitivity,[status(thm)],[22697, 22695])).
% 135.95/86.60 tff(22699,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (v164(constB133) | v163(constB133) | (~v160(constB133)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22700,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v164(VarCurr) | v163(VarCurr) | (~v160(VarCurr)))) | (~v160(constB133)) | v164(constB133) | v163(constB133)),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22699, 22698])).
% 135.95/86.60 tff(22701,plain,
% 135.95/86.60 ((~v160(constB133)) | v164(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22700, 88, 22694])).
% 135.95/86.60 tff(22702,plain,
% 135.95/86.60 (v164(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22701, 22659])).
% 135.95/86.60 tff(22703,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22704,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | (v152(constB133) | (~v164(constB133)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22705,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v164(VarCurr)))) | v152(constB133) | (~v164(constB133))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22704, 22703])).
% 135.95/86.60 tff(22706,plain,
% 135.95/86.60 (v152(constB133)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22705, 236, 22702])).
% 135.95/86.60 tff(22707,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22708,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22709,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB132, constB133)) | v150(constB132) | (~v152(constB133))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22708, 22707])).
% 135.95/86.60 tff(22710,plain,
% 135.95/86.60 (v150(constB132) | (~v152(constB133))),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22709, 253, 22020])).
% 135.95/86.60 tff(22711,plain,
% 135.95/86.60 (v150(constB132)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22710, 22706])).
% 135.95/86.60 tff(22712,plain,
% 135.95/86.60 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22713,plain,
% 135.95/86.60 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB132)) | (~v141(constB132)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22714,plain,
% 135.95/86.60 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB132)) | (~v141(constB132))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22713, 22712])).
% 135.95/86.60 tff(22715,plain,
% 135.95/86.60 (~v141(constB132)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22714, 52, 21852])).
% 135.95/86.60 tff(22716,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB132) | (~v155(constB132)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB132) | (~v155(constB132)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22717,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB132) | (~v155(constB132)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22718,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB132) | (~v155(constB132))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22717, 22716])).
% 135.95/86.60 tff(22719,plain,
% 135.95/86.60 (~v155(constB132)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22718, 63, 22715])).
% 135.95/86.60 tff(22720,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB132) | (~v154(constB132)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB132) | (~v154(constB132)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22721,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB132) | (~v154(constB132)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22722,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB132) | (~v154(constB132))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22721, 22720])).
% 135.95/86.60 tff(22723,plain,
% 135.95/86.60 (~v154(constB132)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22722, 276, 22719])).
% 135.95/86.60 tff(22724,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v154(constB132) | (~v150(constB132)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v154(constB132) | (~v150(constB132)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22725,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB132) | v154(constB132) | (~v150(constB132)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22726,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB132) | v154(constB132) | (~v150(constB132))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22725, 22724])).
% 135.95/86.60 tff(22727,plain,
% 135.95/86.60 (v153(constB132) | (~v150(constB132))),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22726, 290, 22723])).
% 135.95/86.60 tff(22728,plain,
% 135.95/86.60 (v153(constB132)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22727, 22711])).
% 135.95/86.60 tff(22729,plain,
% 135.95/86.60 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB132) | (~v153(constB132)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB132) | (~v153(constB132)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22730,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB132) | (~v153(constB132)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22731,plain,
% 135.95/86.60 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB132) | (~v153(constB132))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22730, 22729])).
% 135.95/86.60 tff(22732,plain,
% 135.95/86.60 (v152(constB132)),
% 135.95/86.60 inference(unit_resolution,[status(thm)],[22731, 302, 22728])).
% 135.95/86.60 tff(22733,plain,
% 135.95/86.60 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 135.95/86.60 inference(rewrite,[status(thm)],[])).
% 135.95/86.60 tff(22734,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132)))),
% 135.95/86.60 inference(quant_inst,[status(thm)],[])).
% 135.95/86.60 tff(22735,plain,
% 135.95/86.60 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB131, constB132)) | v150(constB131) | (~v152(constB132))),
% 135.95/86.60 inference(modus_ponens,[status(thm)],[22734, 22733])).
% 135.95/86.60 tff(22736,plain,
% 135.95/86.60 (v150(constB131) | (~v152(constB132))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22735, 253, 21826])).
% 135.95/86.61 tff(22737,plain,
% 135.95/86.61 (v150(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22736, 22732])).
% 135.95/86.61 tff(22738,assumption,(v18(constB132)), introduced(assumption)).
% 135.95/86.61 tff(22739,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB132))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22740,plain,
% 135.95/86.61 ($false),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22739, 123, 22738])).
% 135.95/86.61 tff(22741,plain,(~v18(constB132)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.61 tff(22742,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22743,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB132) | (~v1(constB132)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22744,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB132) | (~v1(constB132))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22743, 22742])).
% 135.95/86.61 tff(22745,plain,
% 135.95/86.61 (v22(constB132)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22744, 133, 21852])).
% 135.95/86.61 tff(22746,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB132)) | (~v22(constB132)) | v18(constB132))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB132)) | (~v22(constB132)) | v18(constB132))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22747,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB132)) | (~v22(constB132)) | v18(constB132))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22748,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB132)) | (~v22(constB132)) | v18(constB132)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 135.95/86.61 tff(22749,plain,
% 135.95/86.61 ((~v19(constB132)) | v18(constB132)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22748, 147, 22745])).
% 135.95/86.61 tff(22750,plain,
% 135.95/86.61 (~v19(constB132)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22749, 22741])).
% 135.95/86.61 tff(22751,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22752,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB132) | v19(constB132))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22753,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB132) | v19(constB132)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22752, 22751])).
% 135.95/86.61 tff(22754,plain,
% 135.95/86.61 (v13(constB132)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22753, 162, 22750])).
% 135.95/86.61 tff(22755,plain,
% 135.95/86.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22756,plain,
% 135.95/86.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22757,plain,
% 135.95/86.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB131, constB132)) | (~v13(constB132)) | v9(constB131)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22756, 22755])).
% 135.95/86.61 tff(22758,plain,
% 135.95/86.61 ((~v13(constB132)) | v9(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22757, 176, 21826])).
% 135.95/86.61 tff(22759,plain,
% 135.95/86.61 (v9(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22758, 22754])).
% 135.95/86.61 tff(22760,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22761,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB131) | (~v9(constB131)) | v141(constB131))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22762,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB131) | (~v9(constB131)) | v141(constB131)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22761, 22760])).
% 135.95/86.61 tff(22763,plain,
% 135.95/86.61 ((~v9(constB131)) | v141(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22762, 194, 21645])).
% 135.95/86.61 tff(22764,plain,
% 135.95/86.61 (v141(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22763, 22759])).
% 135.95/86.61 tff(22765,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB131) | (~v141(constB131)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB131) | (~v141(constB131)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22766,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB131) | (~v141(constB131)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22767,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB131) | (~v141(constB131))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22766, 22765])).
% 135.95/86.61 tff(22768,plain,
% 135.95/86.61 (v140(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22767, 206, 22764])).
% 135.95/86.61 tff(22769,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB131)) | (~v153(constB131)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB131)) | (~v153(constB131)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22770,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB131)) | (~v153(constB131)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22771,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB131)) | (~v153(constB131))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22770, 22769])).
% 135.95/86.61 tff(22772,plain,
% 135.95/86.61 (~v153(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22771, 355, 22768])).
% 135.95/86.61 tff(22773,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v154(constB131) | (~v150(constB131)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v154(constB131) | (~v150(constB131)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22774,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB131) | v154(constB131) | (~v150(constB131)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22775,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB131) | v154(constB131) | (~v150(constB131))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22774, 22773])).
% 135.95/86.61 tff(22776,plain,
% 135.95/86.61 (v154(constB131) | (~v150(constB131))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22775, 290, 22772])).
% 135.95/86.61 tff(22777,plain,
% 135.95/86.61 (v154(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22776, 22737])).
% 135.95/86.61 tff(22778,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB131) | (~v154(constB131)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB131) | (~v154(constB131)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22779,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB131) | (~v154(constB131)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22780,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB131) | (~v154(constB131))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22779, 22778])).
% 135.95/86.61 tff(22781,plain,
% 135.95/86.61 (v137(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22780, 371, 22777])).
% 135.95/86.61 tff(22782,plain,
% 135.95/86.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22783,plain,
% 135.95/86.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22784,plain,
% 135.95/86.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB130, constB131)) | v135(constB130) | (~v137(constB131))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22783, 22782])).
% 135.95/86.61 tff(22785,plain,
% 135.95/86.61 (v135(constB130) | (~v137(constB131))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22784, 388, 21648])).
% 135.95/86.61 tff(22786,plain,
% 135.95/86.61 (v135(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22785, 22781])).
% 135.95/86.61 tff(22787,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22788,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB130)) | (~v141(constB130)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22789,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB130)) | (~v141(constB130))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22788, 22787])).
% 135.95/86.61 tff(22790,plain,
% 135.95/86.61 (~v141(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22789, 52, 21490])).
% 135.95/86.61 tff(22791,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22792,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB130) | (~v144(constB130)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22793,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB130) | (~v144(constB130))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 135.95/86.61 tff(22794,plain,
% 135.95/86.61 (~v144(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22793, 407, 22790])).
% 135.95/86.61 tff(22795,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22796,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB130) | (~v142(constB130)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22797,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB130) | (~v142(constB130))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22796, 22795])).
% 135.95/86.61 tff(22798,plain,
% 135.95/86.61 (~v142(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22797, 418, 22794])).
% 135.95/86.61 tff(22799,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22800,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB130) | v142(constB130) | (~v135(constB130)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22801,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB130) | v142(constB130) | (~v135(constB130))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 135.95/86.61 tff(22802,plain,
% 135.95/86.61 (v138(constB130) | (~v135(constB130))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22801, 432, 22798])).
% 135.95/86.61 tff(22803,plain,
% 135.95/86.61 (v138(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22802, 22786])).
% 135.95/86.61 tff(22804,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22805,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB130) | (~v138(constB130)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22806,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB130) | (~v138(constB130))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22805, 22804])).
% 135.95/86.61 tff(22807,plain,
% 135.95/86.61 (v137(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22806, 444, 22803])).
% 135.95/86.61 tff(22808,plain,
% 135.95/86.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22809,plain,
% 135.95/86.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22810,plain,
% 135.95/86.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB129, constB130)) | v135(constB129) | (~v137(constB130))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22809, 22808])).
% 135.95/86.61 tff(22811,plain,
% 135.95/86.61 (v135(constB129) | (~v137(constB130))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22810, 388, 21463])).
% 135.95/86.61 tff(22812,plain,
% 135.95/86.61 (v135(constB129)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22811, 22807])).
% 135.95/86.61 tff(22813,assumption,(v18(constB130)), introduced(assumption)).
% 135.95/86.61 tff(22814,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB130))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22815,plain,
% 135.95/86.61 ($false),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22814, 123, 22813])).
% 135.95/86.61 tff(22816,plain,(~v18(constB130)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.61 tff(22817,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22818,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB130) | (~v1(constB130)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22819,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB130) | (~v1(constB130))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22818, 22817])).
% 135.95/86.61 tff(22820,plain,
% 135.95/86.61 (v22(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22819, 133, 21490])).
% 135.95/86.61 tff(22821,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB130)) | (~v22(constB130)) | v18(constB130))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB130)) | (~v22(constB130)) | v18(constB130))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22822,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB130)) | (~v22(constB130)) | v18(constB130))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22823,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB130)) | (~v22(constB130)) | v18(constB130)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22822, 22821])).
% 135.95/86.61 tff(22824,plain,
% 135.95/86.61 ((~v19(constB130)) | v18(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22823, 147, 22820])).
% 135.95/86.61 tff(22825,plain,
% 135.95/86.61 (~v19(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22824, 22816])).
% 135.95/86.61 tff(22826,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22827,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB130) | v19(constB130))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22828,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB130) | v19(constB130)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22827, 22826])).
% 135.95/86.61 tff(22829,plain,
% 135.95/86.61 (v13(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22828, 162, 22825])).
% 135.95/86.61 tff(22830,plain,
% 135.95/86.61 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22831,plain,
% 135.95/86.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22832,plain,
% 135.95/86.61 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB129, constB130)) | (~v13(constB130)) | v9(constB129)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22831, 22830])).
% 135.95/86.61 tff(22833,plain,
% 135.95/86.61 ((~v13(constB130)) | v9(constB129)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22832, 176, 21463])).
% 135.95/86.61 tff(22834,plain,
% 135.95/86.61 (v9(constB129)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22833, 22829])).
% 135.95/86.61 tff(22835,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22836,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB129) | (~v9(constB129)) | v141(constB129))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22837,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB129) | (~v9(constB129)) | v141(constB129)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22836, 22835])).
% 135.95/86.61 tff(22838,plain,
% 135.95/86.61 ((~v9(constB129)) | v141(constB129)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22837, 194, 21305])).
% 135.95/86.61 tff(22839,plain,
% 135.95/86.61 (v141(constB129)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22838, 22834])).
% 135.95/86.61 tff(22840,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB129) | (~v141(constB129)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB129) | (~v141(constB129)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22841,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB129) | (~v141(constB129)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22842,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB129) | (~v141(constB129))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22841, 22840])).
% 135.95/86.61 tff(22843,plain,
% 135.95/86.61 (v140(constB129)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22842, 206, 22839])).
% 135.95/86.61 tff(22844,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB129)) | (~v140(constB129)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB129)) | (~v140(constB129)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22845,plain,
% 135.95/86.61 (((~v140(constB129)) | (~v138(constB129))) <=> ((~v138(constB129)) | (~v140(constB129)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22846,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB129)) | (~v138(constB129)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB129)) | (~v140(constB129))))),
% 135.95/86.61 inference(monotonicity,[status(thm)],[22845])).
% 135.95/86.61 tff(22847,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB129)) | (~v138(constB129)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB129)) | (~v140(constB129)))),
% 135.95/86.61 inference(transitivity,[status(thm)],[22846, 22844])).
% 135.95/86.61 tff(22848,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB129)) | (~v138(constB129)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22849,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB129)) | (~v140(constB129))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22848, 22847])).
% 135.95/86.61 tff(22850,plain,
% 135.95/86.61 (~v138(constB129)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22849, 497, 22843])).
% 135.95/86.61 tff(22851,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22852,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB129) | v142(constB129) | (~v135(constB129)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22853,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB129) | v142(constB129) | (~v135(constB129))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22852, 22851])).
% 135.95/86.61 tff(22854,plain,
% 135.95/86.61 (v142(constB129) | (~v135(constB129))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22853, 432, 22850])).
% 135.95/86.61 tff(22855,plain,
% 135.95/86.61 (v142(constB129)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22854, 22812])).
% 135.95/86.61 tff(22856,plain,
% 135.95/86.61 (v107(constB135) <=> v107(sK0_VarCurr)),
% 135.95/86.61 inference(monotonicity,[status(thm)],[22618])).
% 135.95/86.61 tff(22857,plain,
% 135.95/86.61 (v107(sK0_VarCurr) <=> v107(constB135)),
% 135.95/86.61 inference(symmetry,[status(thm)],[22856])).
% 135.95/86.61 tff(22858,plain,
% 135.95/86.61 (v84(sK0_VarCurr, bitIndex0)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[3881, 3775])).
% 135.95/86.61 tff(22859,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(sK0_VarCurr, bitIndex2) | (~v118(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(sK0_VarCurr, bitIndex2) | (~v118(sK0_VarCurr)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22860,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(sK0_VarCurr, bitIndex2) | (~v118(sK0_VarCurr)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22861,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(sK0_VarCurr, bitIndex2) | (~v118(sK0_VarCurr))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22860, 22859])).
% 135.95/86.61 tff(22862,plain,
% 135.95/86.61 (~v118(sK0_VarCurr)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22861, 5252, 22617])).
% 135.95/86.61 tff(22863,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(sK0_VarCurr) | (~v116(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(sK0_VarCurr) | (~v116(sK0_VarCurr)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22864,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(sK0_VarCurr) | (~v116(sK0_VarCurr)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22865,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(sK0_VarCurr) | (~v116(sK0_VarCurr))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22864, 22863])).
% 135.95/86.61 tff(22866,plain,
% 135.95/86.61 (~v116(sK0_VarCurr)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22865, 934, 3787])).
% 135.95/86.61 tff(22867,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22868,plain,
% 135.95/86.61 (((~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1)) | v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr)) <=> (v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22869,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1)) | v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1))))),
% 135.95/86.61 inference(monotonicity,[status(thm)],[22868])).
% 135.95/86.61 tff(22870,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1)) | v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1)))),
% 135.95/86.61 inference(transitivity,[status(thm)],[22869, 22867])).
% 135.95/86.61 tff(22871,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1)) | v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22872,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | v84(sK0_VarCurr, bitIndex2) | v116(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 135.95/86.61 tff(22873,plain,
% 135.95/86.61 (v116(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)) | (~v84(sK0_VarCurr, bitIndex1))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22872, 1076, 22617])).
% 135.95/86.61 tff(22874,plain,
% 135.95/86.61 (~v84(sK0_VarCurr, bitIndex1)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22873, 22866, 22858])).
% 135.95/86.61 tff(22875,assumption,(v84(sK0_VarCurr, bitIndex0)), introduced(assumption)).
% 135.95/86.61 tff(22876,assumption,(~v118(sK0_VarCurr)), introduced(assumption)).
% 135.95/86.61 tff(22877,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22878,plain,
% 135.95/86.61 (((~v84(sK0_VarCurr, bitIndex0)) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr)) <=> (v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22879,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0))))),
% 135.95/86.61 inference(monotonicity,[status(thm)],[22878])).
% 135.95/86.61 tff(22880,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0)))),
% 135.95/86.61 inference(transitivity,[status(thm)],[22879, 22877])).
% 135.95/86.61 tff(22881,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22882,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | v118(sK0_VarCurr) | (~v84(sK0_VarCurr, bitIndex0))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22881, 22880])).
% 135.95/86.61 tff(22883,plain,
% 135.95/86.61 (v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex2)) | (~v84(sK0_VarCurr, bitIndex0))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22882, 1018, 22876])).
% 135.95/86.61 tff(22884,plain,
% 135.95/86.61 (~v84(sK0_VarCurr, bitIndex2)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22883, 3805, 22875])).
% 135.95/86.61 tff(22885,assumption,(~v145(sK0_VarCurr)), introduced(assumption)).
% 135.95/86.61 tff(22886,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex0)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22887,plain,
% 135.95/86.61 (((~v84(sK0_VarCurr, bitIndex0)) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | v145(sK0_VarCurr)) <=> (v145(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex0)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22888,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | v145(sK0_VarCurr))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex0))))),
% 135.95/86.61 inference(monotonicity,[status(thm)],[22887])).
% 135.95/86.61 tff(22889,plain,
% 135.95/86.61 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | v145(sK0_VarCurr))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex0)))),
% 135.95/86.61 inference(transitivity,[status(thm)],[22888, 22886])).
% 135.95/86.61 tff(22890,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(sK0_VarCurr, bitIndex0)) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | v145(sK0_VarCurr))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22891,plain,
% 135.95/86.61 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex0))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22890, 22889])).
% 135.95/86.61 tff(22892,plain,
% 135.95/86.61 (v84(sK0_VarCurr, bitIndex1) | v84(sK0_VarCurr, bitIndex2) | (~v84(sK0_VarCurr, bitIndex0))),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22891, 865, 22885])).
% 135.95/86.61 tff(22893,plain,
% 135.95/86.61 ($false),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22892, 22884, 3805, 22875])).
% 135.95/86.61 tff(22894,plain,(v84(sK0_VarCurr, bitIndex1) | (~v84(sK0_VarCurr, bitIndex0)) | v145(sK0_VarCurr) | v118(sK0_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.61 tff(22895,plain,
% 135.95/86.61 (v145(sK0_VarCurr)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22894, 22874, 22862, 22858])).
% 135.95/86.61 tff(22896,plain,
% 135.95/86.61 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(sK0_VarCurr) | (~v145(sK0_VarCurr)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(sK0_VarCurr) | (~v145(sK0_VarCurr)))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22897,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(sK0_VarCurr) | (~v145(sK0_VarCurr)))),
% 135.95/86.61 inference(quant_inst,[status(thm)],[])).
% 135.95/86.61 tff(22898,plain,
% 135.95/86.61 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(sK0_VarCurr) | (~v145(sK0_VarCurr))),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22897, 22896])).
% 135.95/86.61 tff(22899,plain,
% 135.95/86.61 ($false),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22898, 713, 22895, 3795])).
% 135.95/86.61 tff(22900,plain,(v107(sK0_VarCurr) | v84(sK0_VarCurr, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.61 tff(22901,plain,
% 135.95/86.61 (v107(sK0_VarCurr)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22900, 22617])).
% 135.95/86.61 tff(22902,plain,
% 135.95/86.61 (v107(constB135)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22901, 22857])).
% 135.95/86.61 tff(22903,plain,
% 135.95/86.61 (v94(constB132)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22506, 22902])).
% 135.95/86.61 tff(22904,plain,
% 135.95/86.61 (v104(constB132)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[21838, 22903])).
% 135.95/86.61 tff(22905,plain,
% 135.95/86.61 (v102(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[21833, 22904])).
% 135.95/86.61 tff(22906,plain,
% 135.95/86.61 (v106(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[21822, 22905])).
% 135.95/86.61 tff(22907,plain,
% 135.95/86.61 (v107(constB131)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[21810, 3161, 22906])).
% 135.95/86.61 tff(22908,plain,
% 135.95/86.61 (v94(constB130)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[21806, 22907])).
% 135.95/86.61 tff(22909,plain,
% 135.95/86.61 (v84(constB135, bitIndex2) <=> v84(sK0_VarCurr, bitIndex2)),
% 135.95/86.61 inference(monotonicity,[status(thm)],[22618])).
% 135.95/86.61 tff(22910,plain,
% 135.95/86.61 (v84(sK0_VarCurr, bitIndex2) <=> v84(constB135, bitIndex2)),
% 135.95/86.61 inference(symmetry,[status(thm)],[22909])).
% 135.95/86.61 tff(22911,plain,
% 135.95/86.61 ((~v84(sK0_VarCurr, bitIndex2)) <=> (~v84(constB135, bitIndex2))),
% 135.95/86.61 inference(monotonicity,[status(thm)],[22910])).
% 135.95/86.61 tff(22912,plain,
% 135.95/86.61 (~v84(constB135, bitIndex2)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22617, 22911])).
% 135.95/86.61 tff(22913,plain,
% 135.95/86.61 (~v84(constB134, bitIndex2)),
% 135.95/86.61 inference(unit_resolution,[status(thm)],[22380, 22912])).
% 135.95/86.61 tff(22914,plain,
% 135.95/86.61 (v84(constB135, bitIndex1) <=> v84(sK0_VarCurr, bitIndex1)),
% 135.95/86.61 inference(monotonicity,[status(thm)],[22618])).
% 135.95/86.61 tff(22915,plain,
% 135.95/86.61 (v84(sK0_VarCurr, bitIndex1) <=> v84(constB135, bitIndex1)),
% 135.95/86.61 inference(symmetry,[status(thm)],[22914])).
% 135.95/86.61 tff(22916,assumption,(constB73 = sK0_VarCurr), introduced(assumption)).
% 135.95/86.61 tff(22917,assumption,(~v94(constB60)), introduced(assumption)).
% 135.95/86.61 tff(22918,assumption,(v107(constB69)), introduced(assumption)).
% 135.95/86.61 tff(22919,plain,
% 135.95/86.61 ((~v1(constB59)) <=> (~v1(constB59))),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22920,axiom,(~v1(constB59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_59_1_1')).
% 135.95/86.61 tff(22921,plain,
% 135.95/86.61 (~v1(constB59)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22920, 22919])).
% 135.95/86.61 tff(22922,plain,
% 135.95/86.61 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 135.95/86.61 inference(rewrite,[status(thm)],[])).
% 135.95/86.61 tff(22923,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_59_1')).
% 135.95/86.61 tff(22924,plain,
% 135.95/86.61 (nextState(constB59, constB60)),
% 135.95/86.61 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 135.95/86.61 tff(22925,plain,
% 135.95/86.61 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22926,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22927,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB59) | (~nextState(constB59, constB60)) | (~v98(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22926, 22925])).
% 135.95/86.62 tff(22928,plain,
% 135.95/86.62 (~v98(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22927, 541, 22924, 22921])).
% 135.95/86.62 tff(22929,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22930,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB59, constB60)) | v96(constB60) | v98(constB60))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22931,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB59, constB60)) | v96(constB60) | v98(constB60)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22930, 22929])).
% 135.95/86.62 tff(22932,plain,
% 135.95/86.62 (v96(constB60) | v98(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22931, 555, 22924])).
% 135.95/86.62 tff(22933,plain,
% 135.95/86.62 (v96(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22932, 22928])).
% 135.95/86.62 tff(22934,plain,
% 135.95/86.62 (v1(constB60) <=> v1(constB60)),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22935,axiom,(v1(constB60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_60_1')).
% 135.95/86.62 tff(22936,plain,
% 135.95/86.62 (v1(constB60)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22935, 22934])).
% 135.95/86.62 tff(22937,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22938,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22939,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB59, constB60)) | v95(constB60) | (~v96(constB60)) | (~v1(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22938, 22937])).
% 135.95/86.62 tff(22940,plain,
% 135.95/86.62 (v95(constB60) | (~v96(constB60))),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22939, 573, 22924, 22936])).
% 135.95/86.62 tff(22941,plain,
% 135.95/86.62 (v95(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22940, 22933])).
% 135.95/86.62 tff(22942,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22943,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22944,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB59, constB60)) | (~v95(constB60)) | (~v104(constB60)) | v94(constB60)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22943, 22942])).
% 135.95/86.62 tff(22945,plain,
% 135.95/86.62 ((~v95(constB60)) | (~v104(constB60)) | v94(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22944, 588, 22924])).
% 135.95/86.62 tff(22946,plain,
% 135.95/86.62 ((~v104(constB60)) | v94(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22945, 22941])).
% 135.95/86.62 tff(22947,plain,
% 135.95/86.62 (~v104(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22946, 22917])).
% 135.95/86.62 tff(22948,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22949,plain,
% 135.95/86.62 (((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60)) <=> ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22950,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))))),
% 135.95/86.62 inference(monotonicity,[status(thm)],[22949])).
% 135.95/86.62 tff(22951,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59)))),
% 135.95/86.62 inference(transitivity,[status(thm)],[22950, 22948])).
% 135.95/86.62 tff(22952,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB59, constB60)) | (~v102(constB59)) | v104(constB60))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22953,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB59, constB60)) | v104(constB60) | (~v102(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22952, 22951])).
% 135.95/86.62 tff(22954,plain,
% 135.95/86.62 (v104(constB60) | (~v102(constB59))),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22953, 604, 22924])).
% 135.95/86.62 tff(22955,plain,
% 135.95/86.62 (~v102(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22954, 22947])).
% 135.95/86.62 tff(22956,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB59) | (~v106(constB59)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB59) | (~v106(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22957,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB59) | (~v106(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22958,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB59) | (~v106(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22957, 22956])).
% 135.95/86.62 tff(22959,plain,
% 135.95/86.62 (~v106(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22958, 619, 22955])).
% 135.95/86.62 tff(22960,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB59) | (~v26(constB59)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB59) | (~v26(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22961,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB59) | (~v26(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22962,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB59) | (~v26(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22961, 22960])).
% 135.95/86.62 tff(22963,plain,
% 135.95/86.62 (~v26(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22962, 630, 22955])).
% 135.95/86.62 tff(22964,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22965,plain,
% 135.95/86.62 ((v26(constB59) | (~v107(constB59)) | v106(constB59)) <=> (v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22966,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | v106(constB59) | (~v107(constB59))))),
% 135.95/86.62 inference(monotonicity,[status(thm)],[22965])).
% 135.95/86.62 tff(22967,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59)))),
% 135.95/86.62 inference(transitivity,[status(thm)],[22966, 22964])).
% 135.95/86.62 tff(22968,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB59) | (~v107(constB59)) | v106(constB59))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22969,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB59) | v106(constB59) | (~v107(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22968, 22967])).
% 135.95/86.62 tff(22970,plain,
% 135.95/86.62 (~v107(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22969, 644, 22963, 22959])).
% 135.95/86.62 tff(22971,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB59) | (~v108(constB59)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB59) | (~v108(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22972,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB59) | (~v108(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22973,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB59) | (~v108(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22972, 22971])).
% 135.95/86.62 tff(22974,plain,
% 135.95/86.62 (~v108(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22973, 658, 22970])).
% 135.95/86.62 tff(22975,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB59) | (~v109(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB59) | (~v109(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22976,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB59) | (~v109(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22977,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB59) | (~v109(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22976, 22975])).
% 135.95/86.62 tff(22978,plain,
% 135.95/86.62 (~v109(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22977, 669, 22974])).
% 135.95/86.62 tff(22979,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB59) | (~v110(constB59)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB59) | (~v110(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22980,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB59) | (~v110(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22981,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB59) | (~v110(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22980, 22979])).
% 135.95/86.62 tff(22982,plain,
% 135.95/86.62 (~v110(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22981, 680, 22978])).
% 135.95/86.62 tff(22983,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB59) | (~v111(constB59)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB59) | (~v111(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22984,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB59) | (~v111(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22985,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB59) | (~v111(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22984, 22983])).
% 135.95/86.62 tff(22986,plain,
% 135.95/86.62 (~v111(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22985, 691, 22982])).
% 135.95/86.62 tff(22987,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB59) | (~v112(constB59)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB59) | (~v112(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22988,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB59) | (~v112(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22989,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB59) | (~v112(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22988, 22987])).
% 135.95/86.62 tff(22990,plain,
% 135.95/86.62 (~v112(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22989, 702, 22986])).
% 135.95/86.62 tff(22991,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB59) | (~v145(constB59)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB59) | (~v145(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22992,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB59) | (~v145(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22993,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB59) | (~v145(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22992, 22991])).
% 135.95/86.62 tff(22994,plain,
% 135.95/86.62 (~v145(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22993, 713, 22990])).
% 135.95/86.62 tff(22995,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(22996,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB59) | (~v144(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(22997,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB59) | (~v144(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[22996, 22995])).
% 135.95/86.62 tff(22998,plain,
% 135.95/86.62 (~v144(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[22997, 520, 22994])).
% 135.95/86.62 tff(22999,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23000,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB59) | (~v142(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23001,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB59) | (~v142(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23000, 22999])).
% 135.95/86.62 tff(23002,plain,
% 135.95/86.62 (~v142(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23001, 418, 22998])).
% 135.95/86.62 tff(23003,assumption,(v18(constB60)), introduced(assumption)).
% 135.95/86.62 tff(23004,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB60))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23005,plain,
% 135.95/86.62 ($false),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23004, 123, 23003])).
% 135.95/86.62 tff(23006,plain,(~v18(constB60)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.62 tff(23007,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23008,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB60) | (~v1(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23009,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB60) | (~v1(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23008, 23007])).
% 135.95/86.62 tff(23010,plain,
% 135.95/86.62 (v22(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23009, 133, 22936])).
% 135.95/86.62 tff(23011,plain,
% 135.95/86.62 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23012,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB60)) | (~v22(constB60)) | v18(constB60))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23013,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB60)) | (~v22(constB60)) | v18(constB60)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23012, 23011])).
% 135.95/86.62 tff(23014,plain,
% 135.95/86.62 ((~v19(constB60)) | v18(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23013, 147, 23010])).
% 135.95/86.62 tff(23015,plain,
% 135.95/86.62 (~v19(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23014, 23006])).
% 135.95/86.62 tff(23016,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23017,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB60) | v19(constB60))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23018,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB60) | v19(constB60)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23017, 23016])).
% 135.95/86.62 tff(23019,plain,
% 135.95/86.62 (v13(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23018, 162, 23015])).
% 135.95/86.62 tff(23020,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23021,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23022,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB59, constB60)) | (~v13(constB60)) | v9(constB59)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23021, 23020])).
% 135.95/86.62 tff(23023,plain,
% 135.95/86.62 ((~v13(constB60)) | v9(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23022, 176, 22924])).
% 135.95/86.62 tff(23024,plain,
% 135.95/86.62 (v9(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23023, 23019])).
% 135.95/86.62 tff(23025,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23026,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB59) | (~v9(constB59)) | v141(constB59))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23027,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB59) | (~v9(constB59)) | v141(constB59)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23026, 23025])).
% 135.95/86.62 tff(23028,plain,
% 135.95/86.62 ((~v9(constB59)) | v141(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23027, 194, 22921])).
% 135.95/86.62 tff(23029,plain,
% 135.95/86.62 (v141(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23028, 23024])).
% 135.95/86.62 tff(23030,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB59) | (~v141(constB59)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB59) | (~v141(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23031,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB59) | (~v141(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23032,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB59) | (~v141(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23031, 23030])).
% 135.95/86.62 tff(23033,plain,
% 135.95/86.62 (v140(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23032, 206, 23029])).
% 135.95/86.62 tff(23034,plain,
% 135.95/86.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23035,plain,
% 135.95/86.62 (((~v140(constB59)) | (~v138(constB59))) <=> ((~v138(constB59)) | (~v140(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23036,plain,
% 135.95/86.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB59)) | (~v140(constB59))))),
% 135.95/86.62 inference(monotonicity,[status(thm)],[23035])).
% 135.95/86.62 tff(23037,plain,
% 135.95/86.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59)))),
% 135.95/86.62 inference(transitivity,[status(thm)],[23036, 23034])).
% 135.95/86.62 tff(23038,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB59)) | (~v138(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23039,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB59)) | (~v140(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23038, 23037])).
% 135.95/86.62 tff(23040,plain,
% 135.95/86.62 (~v138(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23039, 497, 23033])).
% 135.95/86.62 tff(23041,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23042,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB59) | v142(constB59) | (~v135(constB59)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23043,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB59) | v142(constB59) | (~v135(constB59))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23042, 23041])).
% 135.95/86.62 tff(23044,plain,
% 135.95/86.62 (v142(constB59) | (~v135(constB59))),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23043, 432, 23040])).
% 135.95/86.62 tff(23045,plain,
% 135.95/86.62 (~v135(constB59)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23044, 23002])).
% 135.95/86.62 tff(23046,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23047,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23048,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB59, constB60)) | v135(constB59) | (~v137(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23047, 23046])).
% 135.95/86.62 tff(23049,plain,
% 135.95/86.62 (v135(constB59) | (~v137(constB60))),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23048, 388, 22924])).
% 135.95/86.62 tff(23050,plain,
% 135.95/86.62 (~v137(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23049, 23045])).
% 135.95/86.62 tff(23051,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23052,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB60) | (~v138(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23053,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB60) | (~v138(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23052, 23051])).
% 135.95/86.62 tff(23054,plain,
% 135.95/86.62 (~v138(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23053, 444, 23050])).
% 135.95/86.62 tff(23055,plain,
% 135.95/86.62 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23056,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB60)) | (~v141(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23057,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB60)) | (~v141(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23056, 23055])).
% 135.95/86.62 tff(23058,plain,
% 135.95/86.62 (~v141(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23057, 52, 22936])).
% 135.95/86.62 tff(23059,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23060,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB60) | (~v144(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23061,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB60) | (~v144(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23060, 23059])).
% 135.95/86.62 tff(23062,plain,
% 135.95/86.62 (~v144(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23061, 407, 23058])).
% 135.95/86.62 tff(23063,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23064,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB60) | (~v142(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23065,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB60) | (~v142(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23064, 23063])).
% 135.95/86.62 tff(23066,plain,
% 135.95/86.62 (~v142(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23065, 418, 23062])).
% 135.95/86.62 tff(23067,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23068,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB60) | v142(constB60) | (~v135(constB60)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23069,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB60) | v142(constB60) | (~v135(constB60))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23068, 23067])).
% 135.95/86.62 tff(23070,plain,
% 135.95/86.62 (v138(constB60) | (~v135(constB60))),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23069, 432, 23066])).
% 135.95/86.62 tff(23071,plain,
% 135.95/86.62 (~v135(constB60)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23070, 23054])).
% 135.95/86.62 tff(23072,plain,
% 135.95/86.62 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23073,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_60_1')).
% 135.95/86.62 tff(23074,plain,
% 135.95/86.62 (nextState(constB60, constB61)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23073, 23072])).
% 135.95/86.62 tff(23075,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23076,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23077,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB60, constB61)) | v135(constB60) | (~v137(constB61))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23076, 23075])).
% 135.95/86.62 tff(23078,plain,
% 135.95/86.62 (v135(constB60) | (~v137(constB61))),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23077, 388, 23074])).
% 135.95/86.62 tff(23079,plain,
% 135.95/86.62 (~v137(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23078, 23071])).
% 135.95/86.62 tff(23080,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB61) | (~v154(constB61)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB61) | (~v154(constB61)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23081,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB61) | (~v154(constB61)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23082,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB61) | (~v154(constB61))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 135.95/86.62 tff(23083,plain,
% 135.95/86.62 (~v154(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23082, 371, 23079])).
% 135.95/86.62 tff(23084,assumption,(v18(constB62)), introduced(assumption)).
% 135.95/86.62 tff(23085,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB62))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23086,plain,
% 135.95/86.62 ($false),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23085, 123, 23084])).
% 135.95/86.62 tff(23087,plain,(~v18(constB62)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.62 tff(23088,plain,
% 135.95/86.62 (v1(constB62) <=> v1(constB62)),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23089,axiom,(v1(constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_62_1')).
% 135.95/86.62 tff(23090,plain,
% 135.95/86.62 (v1(constB62)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23089, 23088])).
% 135.95/86.62 tff(23091,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23092,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB62) | (~v1(constB62)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23093,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB62) | (~v1(constB62))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23092, 23091])).
% 135.95/86.62 tff(23094,plain,
% 135.95/86.62 (v22(constB62)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23093, 133, 23090])).
% 135.95/86.62 tff(23095,plain,
% 135.95/86.62 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23096,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB62)) | (~v22(constB62)) | v18(constB62))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23097,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB62)) | (~v22(constB62)) | v18(constB62)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23096, 23095])).
% 135.95/86.62 tff(23098,plain,
% 135.95/86.62 ((~v19(constB62)) | v18(constB62)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23097, 147, 23094])).
% 135.95/86.62 tff(23099,plain,
% 135.95/86.62 (~v19(constB62)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23098, 23087])).
% 135.95/86.62 tff(23100,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23101,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB62) | v19(constB62))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23102,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB62) | v19(constB62)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23101, 23100])).
% 135.95/86.62 tff(23103,plain,
% 135.95/86.62 (v13(constB62)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23102, 162, 23099])).
% 135.95/86.62 tff(23104,plain,
% 135.95/86.62 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23105,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_61_1')).
% 135.95/86.62 tff(23106,plain,
% 135.95/86.62 (nextState(constB61, constB62)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23105, 23104])).
% 135.95/86.62 tff(23107,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23108,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23109,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB61, constB62)) | (~v13(constB62)) | v9(constB61)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23108, 23107])).
% 135.95/86.62 tff(23110,plain,
% 135.95/86.62 ((~v13(constB62)) | v9(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23109, 176, 23106])).
% 135.95/86.62 tff(23111,plain,
% 135.95/86.62 (v9(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23110, 23103])).
% 135.95/86.62 tff(23112,plain,
% 135.95/86.62 ((~v1(constB61)) <=> (~v1(constB61))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23113,axiom,(~v1(constB61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_61_1_1')).
% 135.95/86.62 tff(23114,plain,
% 135.95/86.62 (~v1(constB61)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23113, 23112])).
% 135.95/86.62 tff(23115,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23116,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB61) | (~v9(constB61)) | v141(constB61))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23117,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB61) | (~v9(constB61)) | v141(constB61)),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23116, 23115])).
% 135.95/86.62 tff(23118,plain,
% 135.95/86.62 ((~v9(constB61)) | v141(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23117, 194, 23114])).
% 135.95/86.62 tff(23119,plain,
% 135.95/86.62 (v141(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23118, 23111])).
% 135.95/86.62 tff(23120,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB61) | (~v141(constB61)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB61) | (~v141(constB61)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23121,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | (v140(constB61) | (~v141(constB61)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23122,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v140(VarCurr) | (~v141(VarCurr)))) | v140(constB61) | (~v141(constB61))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23121, 23120])).
% 135.95/86.62 tff(23123,plain,
% 135.95/86.62 (v140(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23122, 206, 23119])).
% 135.95/86.62 tff(23124,plain,
% 135.95/86.62 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB61)) | (~v153(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB61)) | (~v153(constB61)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23125,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | ((~v140(constB61)) | (~v153(constB61)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23126,plain,
% 135.95/86.62 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v153(VarCurr)))) | (~v140(constB61)) | (~v153(constB61))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23125, 23124])).
% 135.95/86.62 tff(23127,plain,
% 135.95/86.62 (~v153(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23126, 355, 23123])).
% 135.95/86.62 tff(23128,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v154(constB61) | (~v150(constB61)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v154(constB61) | (~v150(constB61)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23129,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB61) | v154(constB61) | (~v150(constB61)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23130,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB61) | v154(constB61) | (~v150(constB61))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23129, 23128])).
% 135.95/86.62 tff(23131,plain,
% 135.95/86.62 (v154(constB61) | (~v150(constB61))),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23130, 290, 23127])).
% 135.95/86.62 tff(23132,plain,
% 135.95/86.62 (~v150(constB61)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23131, 23083])).
% 135.95/86.62 tff(23133,plain,
% 135.95/86.62 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23134,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23135,plain,
% 135.95/86.62 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB61, constB62)) | v150(constB61) | (~v152(constB62))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23134, 23133])).
% 135.95/86.62 tff(23136,plain,
% 135.95/86.62 (v150(constB61) | (~v152(constB62))),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23135, 253, 23106])).
% 135.95/86.62 tff(23137,plain,
% 135.95/86.62 (~v152(constB62)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23136, 23132])).
% 135.95/86.62 tff(23138,plain,
% 135.95/86.62 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB62) | (~v153(constB62)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB62) | (~v153(constB62)))),
% 135.95/86.62 inference(rewrite,[status(thm)],[])).
% 135.95/86.62 tff(23139,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB62) | (~v153(constB62)))),
% 135.95/86.62 inference(quant_inst,[status(thm)],[])).
% 135.95/86.62 tff(23140,plain,
% 135.95/86.62 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB62) | (~v153(constB62))),
% 135.95/86.62 inference(modus_ponens,[status(thm)],[23139, 23138])).
% 135.95/86.62 tff(23141,plain,
% 135.95/86.62 (~v153(constB62)),
% 135.95/86.62 inference(unit_resolution,[status(thm)],[23140, 302, 23137])).
% 135.95/86.62 tff(23142,plain,
% 135.95/86.62 (((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))) <=> ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23143,plain,
% 135.95/86.63 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | ((~v1(constB62)) | (~v141(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23144,plain,
% 135.95/86.63 ((~![VarCurr: $i] : ((~v1(VarCurr)) | (~v141(VarCurr)))) | (~v1(constB62)) | (~v141(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23143, 23142])).
% 135.95/86.63 tff(23145,plain,
% 135.95/86.63 (~v141(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23144, 52, 23090])).
% 135.95/86.63 tff(23146,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB62) | (~v155(constB62)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB62) | (~v155(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23147,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | (v141(constB62) | (~v155(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23148,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v155(VarCurr)))) | v141(constB62) | (~v155(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23147, 23146])).
% 135.95/86.63 tff(23149,plain,
% 135.95/86.63 (~v155(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23148, 63, 23145])).
% 135.95/86.63 tff(23150,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB62) | (~v154(constB62)))) <=> ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB62) | (~v154(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23151,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | (v155(constB62) | (~v154(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23152,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v155(VarCurr) | (~v154(VarCurr)))) | v155(constB62) | (~v154(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 135.95/86.63 tff(23153,plain,
% 135.95/86.63 (~v154(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23152, 276, 23149])).
% 135.95/86.63 tff(23154,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v154(constB62) | (~v150(constB62)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v154(constB62) | (~v150(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23155,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB62) | v154(constB62) | (~v150(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23156,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB62) | v154(constB62) | (~v150(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23155, 23154])).
% 135.95/86.63 tff(23157,plain,
% 135.95/86.63 (v153(constB62) | (~v150(constB62))),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23156, 290, 23153])).
% 135.95/86.63 tff(23158,plain,
% 135.95/86.63 (~v150(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23157, 23141])).
% 135.95/86.63 tff(23159,plain,
% 135.95/86.63 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23160,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_62_1')).
% 135.95/86.63 tff(23161,plain,
% 135.95/86.63 (nextState(constB62, constB63)),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23160, 23159])).
% 135.95/86.63 tff(23162,plain,
% 135.95/86.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23163,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | ((~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23164,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v150(VarCurr) | (~v152(VarNext)))) | (~nextState(constB62, constB63)) | v150(constB62) | (~v152(constB63))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23163, 23162])).
% 135.95/86.63 tff(23165,plain,
% 135.95/86.63 (v150(constB62) | (~v152(constB63))),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23164, 253, 23161])).
% 135.95/86.63 tff(23166,plain,
% 135.95/86.63 (~v152(constB63)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23165, 23158])).
% 135.95/86.63 tff(23167,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB63) | (~v153(constB63)))) <=> ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB63) | (~v153(constB63)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23168,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | (v152(constB63) | (~v153(constB63)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23169,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v152(VarCurr) | (~v153(VarCurr)))) | v152(constB63) | (~v153(constB63))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23168, 23167])).
% 135.95/86.63 tff(23170,plain,
% 135.95/86.63 (~v153(constB63)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23169, 302, 23166])).
% 135.95/86.63 tff(23171,assumption,(v150(constB63)), introduced(assumption)).
% 135.95/86.63 tff(23172,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB63) | v154(constB63) | (~v150(constB63)))) <=> ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB63) | v154(constB63) | (~v150(constB63)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23173,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | (v153(constB63) | v154(constB63) | (~v150(constB63)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23174,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v153(VarCurr) | v154(VarCurr) | (~v150(VarCurr)))) | v153(constB63) | v154(constB63) | (~v150(constB63))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23173, 23172])).
% 135.95/86.63 tff(23175,plain,
% 135.95/86.63 (v153(constB63) | v154(constB63)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23174, 290, 23171])).
% 135.95/86.63 tff(23176,plain,
% 135.95/86.63 (v154(constB63)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23175, 23170])).
% 135.95/86.63 tff(23177,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB63) | (~v154(constB63)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB63) | (~v154(constB63)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23178,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | (v137(constB63) | (~v154(constB63)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23179,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v154(VarCurr)))) | v137(constB63) | (~v154(constB63))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23178, 23177])).
% 135.95/86.63 tff(23180,plain,
% 135.95/86.63 (v137(constB63)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23179, 371, 23176])).
% 135.95/86.63 tff(23181,plain,
% 135.95/86.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23182,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23183,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB62, constB63)) | v135(constB62) | (~v137(constB63))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23182, 23181])).
% 135.95/86.63 tff(23184,plain,
% 135.95/86.63 (v135(constB62) | (~v137(constB63))),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23183, 388, 23161])).
% 135.95/86.63 tff(23185,plain,
% 135.95/86.63 (v135(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23184, 23180])).
% 135.95/86.63 tff(23186,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB62) | (~v144(constB62)))) <=> ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB62) | (~v144(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23187,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | (v141(constB62) | (~v144(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23188,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v141(VarCurr) | (~v144(VarCurr)))) | v141(constB62) | (~v144(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23187, 23186])).
% 135.95/86.63 tff(23189,plain,
% 135.95/86.63 (~v144(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23188, 407, 23145])).
% 135.95/86.63 tff(23190,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB62) | (~v142(constB62)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB62) | (~v142(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23191,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB62) | (~v142(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23192,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB62) | (~v142(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23191, 23190])).
% 135.95/86.63 tff(23193,plain,
% 135.95/86.63 (~v142(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23192, 418, 23189])).
% 135.95/86.63 tff(23194,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB62) | v142(constB62) | (~v135(constB62)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB62) | v142(constB62) | (~v135(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23195,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB62) | v142(constB62) | (~v135(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23196,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB62) | v142(constB62) | (~v135(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23195, 23194])).
% 135.95/86.63 tff(23197,plain,
% 135.95/86.63 (v138(constB62) | (~v135(constB62))),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23196, 432, 23193])).
% 135.95/86.63 tff(23198,plain,
% 135.95/86.63 (v138(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23197, 23185])).
% 135.95/86.63 tff(23199,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB62) | (~v138(constB62)))) <=> ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB62) | (~v138(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23200,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | (v137(constB62) | (~v138(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23201,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v137(VarCurr) | (~v138(VarCurr)))) | v137(constB62) | (~v138(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23200, 23199])).
% 135.95/86.63 tff(23202,plain,
% 135.95/86.63 (v137(constB62)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23201, 444, 23198])).
% 135.95/86.63 tff(23203,plain,
% 135.95/86.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23204,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | ((~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23205,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v135(VarCurr) | (~v137(VarNext)))) | (~nextState(constB61, constB62)) | v135(constB61) | (~v137(constB62))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23204, 23203])).
% 135.95/86.63 tff(23206,plain,
% 135.95/86.63 (v135(constB61) | (~v137(constB62))),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23205, 388, 23106])).
% 135.95/86.63 tff(23207,plain,
% 135.95/86.63 (v135(constB61)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23206, 23202])).
% 135.95/86.63 tff(23208,plain,
% 135.95/86.63 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB61)) | (~v140(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23209,plain,
% 135.95/86.63 (((~v140(constB61)) | (~v138(constB61))) <=> ((~v138(constB61)) | (~v140(constB61)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23210,plain,
% 135.95/86.63 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v138(constB61)) | (~v140(constB61))))),
% 135.95/86.63 inference(monotonicity,[status(thm)],[23209])).
% 135.95/86.63 tff(23211,plain,
% 135.95/86.63 (((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))) <=> ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61)))),
% 135.95/86.63 inference(transitivity,[status(thm)],[23210, 23208])).
% 135.95/86.63 tff(23212,plain,
% 135.95/86.63 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | ((~v140(constB61)) | (~v138(constB61)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23213,plain,
% 135.95/86.63 ((~![VarCurr: $i] : ((~v140(VarCurr)) | (~v138(VarCurr)))) | (~v138(constB61)) | (~v140(constB61))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23212, 23211])).
% 135.95/86.63 tff(23214,plain,
% 135.95/86.63 (~v138(constB61)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23213, 497, 23123])).
% 135.95/86.63 tff(23215,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB61) | v142(constB61) | (~v135(constB61)))) <=> ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB61) | v142(constB61) | (~v135(constB61)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23216,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | (v138(constB61) | v142(constB61) | (~v135(constB61)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23217,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v138(VarCurr) | v142(VarCurr) | (~v135(VarCurr)))) | v138(constB61) | v142(constB61) | (~v135(constB61))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23216, 23215])).
% 135.95/86.63 tff(23218,plain,
% 135.95/86.63 (v142(constB61) | (~v135(constB61))),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23217, 432, 23214])).
% 135.95/86.63 tff(23219,plain,
% 135.95/86.63 (v142(constB61)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23218, 23207])).
% 135.95/86.63 tff(23220,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB61) | (~v142(constB61)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23221,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB61) | (~v142(constB61)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23222,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB61) | (~v142(constB61))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23221, 23220])).
% 135.95/86.63 tff(23223,plain,
% 135.95/86.63 (v144(constB61)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23222, 418, 23219])).
% 135.95/86.63 tff(23224,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB61) | (~v144(constB61)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB61) | (~v144(constB61)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23225,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB61) | (~v144(constB61)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23226,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB61) | (~v144(constB61))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23225, 23224])).
% 135.95/86.63 tff(23227,plain,
% 135.95/86.63 (v145(constB61)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23226, 520, 23223])).
% 135.95/86.63 tff(23228,plain,
% 135.95/86.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB61)) | (~v84(constB61, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB61)) | (~v84(constB61, bitIndex2)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23229,plain,
% 135.95/86.63 (((~v84(constB61, bitIndex2)) | (~v145(constB61))) <=> ((~v145(constB61)) | (~v84(constB61, bitIndex2)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23230,plain,
% 135.95/86.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB61)) | (~v84(constB61, bitIndex2))))),
% 135.95/86.63 inference(monotonicity,[status(thm)],[23229])).
% 135.95/86.63 tff(23231,plain,
% 135.95/86.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB61)) | (~v84(constB61, bitIndex2)))),
% 135.95/86.63 inference(transitivity,[status(thm)],[23230, 23228])).
% 135.95/86.63 tff(23232,plain,
% 135.95/86.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v145(constB61)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23233,plain,
% 135.95/86.63 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB61)) | (~v84(constB61, bitIndex2))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23232, 23231])).
% 135.95/86.63 tff(23234,plain,
% 135.95/86.63 (~v84(constB61, bitIndex2)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23233, 725, 23227])).
% 135.95/86.63 tff(23235,plain,
% 135.95/86.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23236,plain,
% 135.95/86.63 (((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61)) <=> (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23237,plain,
% 135.95/86.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))))),
% 135.95/86.63 inference(monotonicity,[status(thm)],[23236])).
% 135.95/86.63 tff(23238,plain,
% 135.95/86.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61)))),
% 135.95/86.63 inference(transitivity,[status(thm)],[23237, 23235])).
% 135.95/86.63 tff(23239,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB60, constB61)) | (~v95(constB61)) | v1(constB61))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23240,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB61) | (~nextState(constB60, constB61)) | (~v95(constB61))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23239, 23238])).
% 135.95/86.63 tff(23241,plain,
% 135.95/86.63 (~v95(constB61)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23240, 742, 23074, 23114])).
% 135.95/86.63 tff(23242,plain,
% 135.95/86.63 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23243,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23244,plain,
% 135.95/86.63 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB60, constB61)) | v95(constB61) | (~v94(constB61))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23243, 23242])).
% 135.95/86.63 tff(23245,plain,
% 135.95/86.63 (v95(constB61) | (~v94(constB61))),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23244, 759, 23074])).
% 135.95/86.63 tff(23246,plain,
% 135.95/86.63 (~v94(constB61)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23245, 23241])).
% 135.95/86.63 tff(23247,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | (~v84(constB60, bitIndex2)) | v84(constB61, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | (~v84(constB60, bitIndex2)) | v84(constB61, bitIndex2))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23248,plain,
% 135.95/86.63 (((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | v84(constB61, bitIndex2) | (~v84(constB60, bitIndex2))) <=> ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | (~v84(constB60, bitIndex2)) | v84(constB61, bitIndex2))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23249,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | v84(constB61, bitIndex2) | (~v84(constB60, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | (~v84(constB60, bitIndex2)) | v84(constB61, bitIndex2)))),
% 135.95/86.63 inference(monotonicity,[status(thm)],[23248])).
% 135.95/86.63 tff(23250,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | v84(constB61, bitIndex2) | (~v84(constB60, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | (~v84(constB60, bitIndex2)) | v84(constB61, bitIndex2))),
% 135.95/86.63 inference(transitivity,[status(thm)],[23249, 23247])).
% 135.95/86.63 tff(23251,plain,
% 135.95/86.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | v84(constB61, bitIndex2) | (~v84(constB60, bitIndex2)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23252,plain,
% 135.95/86.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex2)) | (~v84(constB60, bitIndex2)) | v84(constB61, bitIndex2)),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23251, 23250])).
% 135.95/86.63 tff(23253,plain,
% 135.95/86.63 (~v84(constB60, bitIndex2)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23252, 777, 767, 23074, 23246, 23234])).
% 135.95/86.63 tff(23254,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | (~v84(constB59, bitIndex2)) | v84(constB60, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | (~v84(constB59, bitIndex2)) | v84(constB60, bitIndex2))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23255,plain,
% 135.95/86.63 (((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | v84(constB60, bitIndex2) | (~v84(constB59, bitIndex2))) <=> ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | (~v84(constB59, bitIndex2)) | v84(constB60, bitIndex2))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23256,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | v84(constB60, bitIndex2) | (~v84(constB59, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | (~v84(constB59, bitIndex2)) | v84(constB60, bitIndex2)))),
% 135.95/86.63 inference(monotonicity,[status(thm)],[23255])).
% 135.95/86.63 tff(23257,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | v84(constB60, bitIndex2) | (~v84(constB59, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | (~v84(constB59, bitIndex2)) | v84(constB60, bitIndex2))),
% 135.95/86.63 inference(transitivity,[status(thm)],[23256, 23254])).
% 135.95/86.63 tff(23258,plain,
% 135.95/86.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | v84(constB60, bitIndex2) | (~v84(constB59, bitIndex2)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23259,plain,
% 135.95/86.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex2)) | (~v84(constB59, bitIndex2)) | v84(constB60, bitIndex2)),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 135.95/86.63 tff(23260,plain,
% 135.95/86.63 (~v84(constB59, bitIndex2)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23259, 777, 767, 22924, 22917, 23253])).
% 135.95/86.63 tff(23261,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB61)) | v84(constB61, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB61)) | v84(constB61, bitIndex0))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23262,plain,
% 135.95/86.63 ((v84(constB61, bitIndex0) | (~v145(constB61))) <=> ((~v145(constB61)) | v84(constB61, bitIndex0))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23263,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB61, bitIndex0) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB61)) | v84(constB61, bitIndex0)))),
% 135.95/86.63 inference(monotonicity,[status(thm)],[23262])).
% 135.95/86.63 tff(23264,plain,
% 135.95/86.63 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB61, bitIndex0) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB61)) | v84(constB61, bitIndex0))),
% 135.95/86.63 inference(transitivity,[status(thm)],[23263, 23261])).
% 135.95/86.63 tff(23265,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB61, bitIndex0) | (~v145(constB61)))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23266,plain,
% 135.95/86.63 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB61)) | v84(constB61, bitIndex0)),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23265, 23264])).
% 135.95/86.63 tff(23267,plain,
% 135.95/86.63 (v84(constB61, bitIndex0)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23266, 788, 23227])).
% 135.95/86.63 tff(23268,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB61, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB61, bitIndex0)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23269,plain,
% 135.95/86.63 (((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB60, bitIndex0)) <=> ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB61, bitIndex0)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23270,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB60, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB61, bitIndex0))))),
% 135.95/86.63 inference(monotonicity,[status(thm)],[23269])).
% 135.95/86.63 tff(23271,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB60, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB61, bitIndex0)))),
% 135.95/86.63 inference(transitivity,[status(thm)],[23270, 23268])).
% 135.95/86.63 tff(23272,plain,
% 135.95/86.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB60, bitIndex0))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23273,plain,
% 135.95/86.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB61, bitIndex0))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23272, 23271])).
% 135.95/86.63 tff(23274,plain,
% 135.95/86.63 (v84(constB60, bitIndex0)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23273, 805, 795, 23074, 23246, 23267])).
% 135.95/86.63 tff(23275,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB59, bitIndex0) | (~v84(constB60, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB59, bitIndex0) | (~v84(constB60, bitIndex0)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23276,plain,
% 135.95/86.63 (((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB59, bitIndex0)) <=> ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB59, bitIndex0) | (~v84(constB60, bitIndex0)))),
% 135.95/86.63 inference(rewrite,[status(thm)],[])).
% 135.95/86.63 tff(23277,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB59, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB59, bitIndex0) | (~v84(constB60, bitIndex0))))),
% 135.95/86.63 inference(monotonicity,[status(thm)],[23276])).
% 135.95/86.63 tff(23278,plain,
% 135.95/86.63 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB59, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB59, bitIndex0) | (~v84(constB60, bitIndex0)))),
% 135.95/86.63 inference(transitivity,[status(thm)],[23277, 23275])).
% 135.95/86.63 tff(23279,plain,
% 135.95/86.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB59, bitIndex0))),
% 135.95/86.63 inference(quant_inst,[status(thm)],[])).
% 135.95/86.63 tff(23280,plain,
% 135.95/86.63 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB59, bitIndex0) | (~v84(constB60, bitIndex0))),
% 135.95/86.63 inference(modus_ponens,[status(thm)],[23279, 23278])).
% 135.95/86.63 tff(23281,plain,
% 135.95/86.63 (v84(constB59, bitIndex0)),
% 135.95/86.63 inference(unit_resolution,[status(thm)],[23280, 805, 795, 22924, 22917, 23274])).
% 135.95/86.63 tff(23282,plain,
% 135.95/86.63 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB61)) | (~v84(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB61)) | (~v84(constB61, bitIndex1)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23283,plain,
% 135.95/86.64 (((~v84(constB61, bitIndex1)) | (~v145(constB61))) <=> ((~v145(constB61)) | (~v84(constB61, bitIndex1)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23284,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB61)) | (~v84(constB61, bitIndex1))))),
% 135.95/86.64 inference(monotonicity,[status(thm)],[23283])).
% 135.95/86.64 tff(23285,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB61)) | (~v84(constB61, bitIndex1)))),
% 135.95/86.64 inference(transitivity,[status(thm)],[23284, 23282])).
% 135.95/86.64 tff(23286,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v145(constB61)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23287,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB61)) | (~v84(constB61, bitIndex1))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23286, 23285])).
% 135.95/86.64 tff(23288,plain,
% 135.95/86.64 (~v84(constB61, bitIndex1)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23287, 816, 23227])).
% 135.95/86.64 tff(23289,plain,
% 135.95/86.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | (~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | (~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23290,plain,
% 135.95/86.64 (((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | v84(constB61, bitIndex1) | (~v84(constB60, bitIndex1))) <=> ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | (~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23291,plain,
% 135.95/86.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | v84(constB61, bitIndex1) | (~v84(constB60, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | (~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1)))),
% 135.95/86.64 inference(monotonicity,[status(thm)],[23290])).
% 135.95/86.64 tff(23292,plain,
% 135.95/86.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | v84(constB61, bitIndex1) | (~v84(constB60, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | (~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1))),
% 135.95/86.64 inference(transitivity,[status(thm)],[23291, 23289])).
% 135.95/86.64 tff(23293,plain,
% 135.95/86.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | v84(constB61, bitIndex1) | (~v84(constB60, bitIndex1)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23294,plain,
% 135.95/86.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex1)) | (~v84(constB60, bitIndex1)) | v84(constB61, bitIndex1)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23293, 23292])).
% 135.95/86.64 tff(23295,plain,
% 135.95/86.64 (~v84(constB60, bitIndex1)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23294, 777, 823, 23074, 23246, 23288])).
% 135.95/86.64 tff(23296,plain,
% 135.95/86.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | (~v84(constB59, bitIndex1)) | v84(constB60, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | (~v84(constB59, bitIndex1)) | v84(constB60, bitIndex1))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23297,plain,
% 135.95/86.64 (((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | v84(constB60, bitIndex1) | (~v84(constB59, bitIndex1))) <=> ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | (~v84(constB59, bitIndex1)) | v84(constB60, bitIndex1))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23298,plain,
% 135.95/86.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | v84(constB60, bitIndex1) | (~v84(constB59, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | (~v84(constB59, bitIndex1)) | v84(constB60, bitIndex1)))),
% 135.95/86.64 inference(monotonicity,[status(thm)],[23297])).
% 135.95/86.64 tff(23299,plain,
% 135.95/86.64 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | v84(constB60, bitIndex1) | (~v84(constB59, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | (~v84(constB59, bitIndex1)) | v84(constB60, bitIndex1))),
% 135.95/86.64 inference(transitivity,[status(thm)],[23298, 23296])).
% 135.95/86.64 tff(23300,plain,
% 135.95/86.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | v84(constB60, bitIndex1) | (~v84(constB59, bitIndex1)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23301,plain,
% 135.95/86.64 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex1)) | (~v84(constB59, bitIndex1)) | v84(constB60, bitIndex1)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23300, 23299])).
% 135.95/86.64 tff(23302,plain,
% 135.95/86.64 (~v84(constB59, bitIndex1)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23301, 777, 823, 22924, 22917, 23295])).
% 135.95/86.64 tff(23303,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v145(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v145(constB59))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23304,plain,
% 135.95/86.64 (((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | v145(constB59)) <=> (v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v145(constB59))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23305,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | v145(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v145(constB59)))),
% 135.95/86.64 inference(monotonicity,[status(thm)],[23304])).
% 135.95/86.64 tff(23306,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | v145(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v145(constB59))),
% 135.95/86.64 inference(transitivity,[status(thm)],[23305, 23303])).
% 135.95/86.64 tff(23307,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | v145(constB59))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23308,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v145(constB59)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23307, 23306])).
% 135.95/86.64 tff(23309,plain,
% 135.95/86.64 (v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0))),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23308, 865, 22994])).
% 135.95/86.64 tff(23310,plain,
% 135.95/86.64 ($false),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23309, 23302, 23281, 23260])).
% 135.95/86.64 tff(23311,plain,(v94(constB60) | (~v150(constB63))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.64 tff(23312,plain,
% 135.95/86.64 (~v150(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23311, 22917])).
% 135.95/86.64 tff(23313,plain,
% 135.95/86.64 (^[VarCurr: $i] : refl((v150(VarCurr) | (~v154(VarCurr))) <=> (v150(VarCurr) | (~v154(VarCurr))))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23314,plain,
% 135.95/86.64 (![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23313])).
% 135.95/86.64 tff(23315,plain,
% 135.95/86.64 (![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23316,axiom,(![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_37_1_1')).
% 135.95/86.64 tff(23317,plain,
% 135.95/86.64 (![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23316, 23315])).
% 135.95/86.64 tff(23318,plain,(
% 135.95/86.64 ![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))),
% 135.95/86.64 inference(skolemize,[status(sab)],[23317])).
% 135.95/86.64 tff(23319,plain,
% 135.95/86.64 (![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23318, 23314])).
% 135.95/86.64 tff(23320,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))) | (v150(constB63) | (~v154(constB63)))) <=> ((~![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))) | v150(constB63) | (~v154(constB63)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23321,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))) | (v150(constB63) | (~v154(constB63)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23322,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v150(VarCurr) | (~v154(VarCurr)))) | v150(constB63) | (~v154(constB63))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23321, 23320])).
% 135.95/86.64 tff(23323,plain,
% 135.95/86.64 (~v154(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23322, 23319, 23312])).
% 135.95/86.64 tff(23324,assumption,(v18(constB64)), introduced(assumption)).
% 135.95/86.64 tff(23325,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB64))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23326,plain,
% 135.95/86.64 ($false),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23325, 123, 23324])).
% 135.95/86.64 tff(23327,plain,(~v18(constB64)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.64 tff(23328,plain,
% 135.95/86.64 (v1(constB64) <=> v1(constB64)),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23329,axiom,(v1(constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_64_1')).
% 135.95/86.64 tff(23330,plain,
% 135.95/86.64 (v1(constB64)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23329, 23328])).
% 135.95/86.64 tff(23331,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23332,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB64) | (~v1(constB64)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23333,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB64) | (~v1(constB64))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23332, 23331])).
% 135.95/86.64 tff(23334,plain,
% 135.95/86.64 (v22(constB64)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23333, 133, 23330])).
% 135.95/86.64 tff(23335,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23336,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB64)) | (~v22(constB64)) | v18(constB64))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23337,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB64)) | (~v22(constB64)) | v18(constB64)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23336, 23335])).
% 135.95/86.64 tff(23338,plain,
% 135.95/86.64 ((~v19(constB64)) | v18(constB64)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23337, 147, 23334])).
% 135.95/86.64 tff(23339,plain,
% 135.95/86.64 (~v19(constB64)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23338, 23327])).
% 135.95/86.64 tff(23340,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23341,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB64) | v19(constB64))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23342,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB64) | v19(constB64)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23341, 23340])).
% 135.95/86.64 tff(23343,plain,
% 135.95/86.64 (v13(constB64)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23342, 162, 23339])).
% 135.95/86.64 tff(23344,plain,
% 135.95/86.64 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23345,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_63_1')).
% 135.95/86.64 tff(23346,plain,
% 135.95/86.64 (nextState(constB63, constB64)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 135.95/86.64 tff(23347,plain,
% 135.95/86.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23348,plain,
% 135.95/86.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23349,plain,
% 135.95/86.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB63, constB64)) | (~v13(constB64)) | v9(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23348, 23347])).
% 135.95/86.64 tff(23350,plain,
% 135.95/86.64 ((~v13(constB64)) | v9(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23349, 176, 23346])).
% 135.95/86.64 tff(23351,plain,
% 135.95/86.64 (v9(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23350, 23343])).
% 135.95/86.64 tff(23352,plain,
% 135.95/86.64 ((~v1(constB63)) <=> (~v1(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23353,axiom,(~v1(constB63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_63_1_1')).
% 135.95/86.64 tff(23354,plain,
% 135.95/86.64 (~v1(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23353, 23352])).
% 135.95/86.64 tff(23355,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23356,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v141(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23357,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB63) | (~v9(constB63)) | v141(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23356, 23355])).
% 135.95/86.64 tff(23358,plain,
% 135.95/86.64 ((~v9(constB63)) | v141(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23357, 194, 23354])).
% 135.95/86.64 tff(23359,plain,
% 135.95/86.64 (v141(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23358, 23351])).
% 135.95/86.64 tff(23360,assumption,(v26(constB63)), introduced(assumption)).
% 135.95/86.64 tff(23361,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23362,plain,
% 135.95/86.64 ($false),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23361, 1172, 23360])).
% 135.95/86.64 tff(23363,plain,(~v26(constB63)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.64 tff(23364,plain,
% 135.95/86.64 (^[VarCurr: $i] : refl((v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr)) <=> (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr)))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23365,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23364])).
% 135.95/86.64 tff(23366,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23367,plain,
% 135.95/86.64 (^[VarCurr: $i] : rewrite(((v155(VarCurr) | (~v141(VarCurr))) | v26(VarCurr)) <=> (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr)))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23368,plain,
% 135.95/86.64 (![VarCurr: $i] : ((v155(VarCurr) | (~v141(VarCurr))) | v26(VarCurr)) <=> ![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23367])).
% 135.95/86.64 tff(23369,axiom,(![VarCurr: $i] : ((v155(VarCurr) | (~v141(VarCurr))) | v26(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_35_1_1_1')).
% 135.95/86.64 tff(23370,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23369, 23368])).
% 135.95/86.64 tff(23371,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23370, 23366])).
% 135.95/86.64 tff(23372,plain,(
% 135.95/86.64 ![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))),
% 135.95/86.64 inference(skolemize,[status(sab)],[23371])).
% 135.95/86.64 tff(23373,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23372, 23365])).
% 135.95/86.64 tff(23374,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))) | (v26(constB63) | (~v141(constB63)) | v155(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))) | v26(constB63) | (~v141(constB63)) | v155(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23375,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))) | (v26(constB63) | (~v141(constB63)) | v155(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23376,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v141(VarCurr)) | v155(VarCurr))) | v26(constB63) | (~v141(constB63)) | v155(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23375, 23374])).
% 135.95/86.64 tff(23377,plain,
% 135.95/86.64 ((~v141(constB63)) | v155(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23376, 23373, 23363])).
% 135.95/86.64 tff(23378,plain,
% 135.95/86.64 (v155(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23377, 23359])).
% 135.95/86.64 tff(23379,plain,
% 135.95/86.64 (^[VarCurr: $i] : refl(((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr))) <=> ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr))))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23380,plain,
% 135.95/86.64 (![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23379])).
% 135.95/86.64 tff(23381,plain,
% 135.95/86.64 (![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr))) <=> ![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23382,plain,
% 135.95/86.64 (^[VarCurr: $i] : rewrite(((v154(VarCurr) | (~v155(VarCurr))) | (~v137(VarCurr))) <=> ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr))))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23383,plain,
% 135.95/86.64 (![VarCurr: $i] : ((v154(VarCurr) | (~v155(VarCurr))) | (~v137(VarCurr))) <=> ![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23382])).
% 135.95/86.64 tff(23384,axiom,(![VarCurr: $i] : ((v154(VarCurr) | (~v155(VarCurr))) | (~v137(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_36_1_1_1')).
% 135.95/86.64 tff(23385,plain,
% 135.95/86.64 (![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23384, 23383])).
% 135.95/86.64 tff(23386,plain,
% 135.95/86.64 (![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23385, 23381])).
% 135.95/86.64 tff(23387,plain,(
% 135.95/86.64 ![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))),
% 135.95/86.64 inference(skolemize,[status(sab)],[23386])).
% 135.95/86.64 tff(23388,plain,
% 135.95/86.64 (![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23387, 23380])).
% 135.95/86.64 tff(23389,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))) | ((~v137(constB63)) | v154(constB63) | (~v155(constB63)))) <=> ((~![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))) | (~v137(constB63)) | v154(constB63) | (~v155(constB63)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23390,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))) | ((~v137(constB63)) | v154(constB63) | (~v155(constB63)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23391,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v137(VarCurr)) | v154(VarCurr) | (~v155(VarCurr)))) | (~v137(constB63)) | v154(constB63) | (~v155(constB63))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23390, 23389])).
% 135.95/86.64 tff(23392,plain,
% 135.95/86.64 ((~v137(constB63)) | v154(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23391, 23388, 23378])).
% 135.95/86.64 tff(23393,plain,
% 135.95/86.64 (~v137(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23392, 23323])).
% 135.95/86.64 tff(23394,plain,
% 135.95/86.64 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext)))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23395,plain,
% 135.95/86.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23394])).
% 135.95/86.64 tff(23396,plain,
% 135.95/86.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23397,plain,
% 135.95/86.64 (^[VarNext: $i, VarCurr: $i] : rewrite(((v137(VarNext) | (~v135(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext)))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23398,plain,
% 135.95/86.64 (![VarNext: $i, VarCurr: $i] : ((v137(VarNext) | (~v135(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23397])).
% 135.95/86.64 tff(23399,axiom,(![VarNext: $i, VarCurr: $i] : ((v137(VarNext) | (~v135(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_8_1_1')).
% 135.95/86.64 tff(23400,plain,
% 135.95/86.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23399, 23398])).
% 135.95/86.64 tff(23401,plain,
% 135.95/86.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23400, 23396])).
% 135.95/86.64 tff(23402,plain,(
% 135.95/86.64 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))),
% 135.95/86.64 inference(skolemize,[status(sab)],[23401])).
% 135.95/86.64 tff(23403,plain,
% 135.95/86.64 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23402, 23395])).
% 135.95/86.64 tff(23404,plain,
% 135.95/86.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))) | ((~nextState(constB62, constB63)) | (~v135(constB62)) | v137(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))) | (~nextState(constB62, constB63)) | (~v135(constB62)) | v137(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23405,plain,
% 135.95/86.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))) | ((~nextState(constB62, constB63)) | (~v135(constB62)) | v137(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23406,plain,
% 135.95/86.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))) | (~nextState(constB62, constB63)) | (~v135(constB62)) | v137(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23405, 23404])).
% 135.95/86.64 tff(23407,plain,
% 135.95/86.64 ((~v135(constB62)) | v137(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23406, 23403, 23161])).
% 135.95/86.64 tff(23408,plain,
% 135.95/86.64 (~v135(constB62)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23407, 23393])).
% 135.95/86.64 tff(23409,plain,
% 135.95/86.64 (^[VarCurr: $i] : refl((v135(VarCurr) | (~v138(VarCurr))) <=> (v135(VarCurr) | (~v138(VarCurr))))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23410,plain,
% 135.95/86.64 (![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23409])).
% 135.95/86.64 tff(23411,plain,
% 135.95/86.64 (![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23412,axiom,(![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_33_1_2')).
% 135.95/86.64 tff(23413,plain,
% 135.95/86.64 (![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 135.95/86.64 tff(23414,plain,(
% 135.95/86.64 ![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))),
% 135.95/86.64 inference(skolemize,[status(sab)],[23413])).
% 135.95/86.64 tff(23415,plain,
% 135.95/86.64 (![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23414, 23410])).
% 135.95/86.64 tff(23416,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))) | (v135(constB62) | (~v138(constB62)))) <=> ((~![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))) | v135(constB62) | (~v138(constB62)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23417,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))) | (v135(constB62) | (~v138(constB62)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23418,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v135(VarCurr) | (~v138(VarCurr)))) | v135(constB62) | (~v138(constB62))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23417, 23416])).
% 135.95/86.64 tff(23419,plain,
% 135.95/86.64 (~v138(constB62)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23418, 23415, 23408])).
% 135.95/86.64 tff(23420,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB63) | (~v9(constB63)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB63) | (~v9(constB63)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23421,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB63) | (~v9(constB63)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23422,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB63) | (~v9(constB63))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23421, 23420])).
% 135.95/86.64 tff(23423,plain,
% 135.95/86.64 (v80(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23422, 3348, 23351])).
% 135.95/86.64 tff(23424,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB63) | v78(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB63) | v78(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23425,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB63) | v78(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23426,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB63) | v78(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23425, 23424])).
% 135.95/86.64 tff(23427,plain,
% 135.95/86.64 (v78(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23426, 3362, 23354])).
% 135.95/86.64 tff(23428,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB63)) | (~v80(constB63)) | v76(constB63))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB63)) | (~v80(constB63)) | v76(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23429,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB63)) | (~v80(constB63)) | v76(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23430,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB63)) | (~v80(constB63)) | v76(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23429, 23428])).
% 135.95/86.64 tff(23431,plain,
% 135.95/86.64 ((~v80(constB63)) | v76(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23430, 3376, 23427])).
% 135.95/86.64 tff(23432,plain,
% 135.95/86.64 (v76(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23431, 23423])).
% 135.95/86.64 tff(23433,assumption,(v71(constB63)), introduced(assumption)).
% 135.95/86.64 tff(23434,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23435,plain,
% 135.95/86.64 ($false),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23434, 3338, 23433])).
% 135.95/86.64 tff(23436,plain,(~v71(constB63)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.64 tff(23437,plain,
% 135.95/86.64 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB63)) | (~v76(constB63)) | v71(constB63))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB63)) | (~v76(constB63)) | v71(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23438,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB63)) | (~v76(constB63)) | v71(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23439,plain,
% 135.95/86.64 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB63)) | (~v76(constB63)) | v71(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23438, 23437])).
% 135.95/86.64 tff(23440,plain,
% 135.95/86.64 ((~v72(constB63)) | (~v76(constB63))),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23439, 3391, 23436])).
% 135.95/86.64 tff(23441,plain,
% 135.95/86.64 (~v72(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23440, 23432])).
% 135.95/86.64 tff(23442,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB63) | v72(constB63) | v74(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB63) | v72(constB63) | v74(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23443,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB63) | v72(constB63) | v74(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23444,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB63) | v72(constB63) | v74(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23443, 23442])).
% 135.95/86.64 tff(23445,plain,
% 135.95/86.64 (v72(constB63) | v74(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23444, 3406, 23354])).
% 135.95/86.64 tff(23446,plain,
% 135.95/86.64 (v74(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23445, 23441])).
% 135.95/86.64 tff(23447,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | (v26(constB63) | (~v60(constB63)) | (~v74(constB63)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | v26(constB63) | (~v60(constB63)) | (~v74(constB63)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23448,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | (v26(constB63) | (~v60(constB63)) | (~v74(constB63)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23449,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v26(VarCurr) | (~v60(VarCurr)) | (~v74(VarCurr)))) | v26(constB63) | (~v60(constB63)) | (~v74(constB63))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23448, 23447])).
% 135.95/86.64 tff(23450,plain,
% 135.95/86.64 ((~v60(constB63)) | (~v74(constB63))),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23449, 18188, 23363])).
% 135.95/86.64 tff(23451,plain,
% 135.95/86.64 (~v60(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23450, 23446])).
% 135.95/86.64 tff(23452,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB63) | v64(constB63) | (~v9(constB63)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB63) | v64(constB63) | (~v9(constB63)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23453,plain,
% 135.95/86.64 ((v1(constB63) | (~v9(constB63)) | v64(constB63)) <=> (v1(constB63) | v64(constB63) | (~v9(constB63)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23454,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v64(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB63) | v64(constB63) | (~v9(constB63))))),
% 135.95/86.64 inference(monotonicity,[status(thm)],[23453])).
% 135.95/86.64 tff(23455,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v64(constB63))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB63) | v64(constB63) | (~v9(constB63)))),
% 135.95/86.64 inference(transitivity,[status(thm)],[23454, 23452])).
% 135.95/86.64 tff(23456,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB63) | (~v9(constB63)) | v64(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23457,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB63) | v64(constB63) | (~v9(constB63))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23456, 23455])).
% 135.95/86.64 tff(23458,plain,
% 135.95/86.64 (v64(constB63) | (~v9(constB63))),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23457, 3304, 23354])).
% 135.95/86.64 tff(23459,plain,
% 135.95/86.64 (v64(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23458, 23351])).
% 135.95/86.64 tff(23460,plain,
% 135.95/86.64 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | (v60(constB63) | (~v66(constB63)) | (~v64(constB63)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB63) | (~v66(constB63)) | (~v64(constB63)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23461,plain,
% 135.95/86.64 (((~v64(constB63)) | v60(constB63) | (~v66(constB63))) <=> (v60(constB63) | (~v66(constB63)) | (~v64(constB63)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23462,plain,
% 135.95/86.64 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB63)) | v60(constB63) | (~v66(constB63)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | (v60(constB63) | (~v66(constB63)) | (~v64(constB63))))),
% 135.95/86.64 inference(monotonicity,[status(thm)],[23461])).
% 135.95/86.64 tff(23463,plain,
% 135.95/86.64 (((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB63)) | v60(constB63) | (~v66(constB63)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB63) | (~v66(constB63)) | (~v64(constB63)))),
% 135.95/86.64 inference(transitivity,[status(thm)],[23462, 23460])).
% 135.95/86.64 tff(23464,plain,
% 135.95/86.64 ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | ((~v64(constB63)) | v60(constB63) | (~v66(constB63)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23465,plain,
% 135.95/86.64 ((~![VarNext: $i] : ((~v64(VarNext)) | v60(VarNext) | (~v66(VarNext)))) | v60(constB63) | (~v66(constB63)) | (~v64(constB63))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 135.95/86.64 tff(23466,plain,
% 135.95/86.64 (v60(constB63) | (~v66(constB63))),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23465, 18203, 23459])).
% 135.95/86.64 tff(23467,plain,
% 135.95/86.64 (~v66(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23466, 23451])).
% 135.95/86.64 tff(23468,plain,
% 135.95/86.64 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | ((~nextState(constB62, constB63)) | (~v26(constB62)) | v66(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | (~nextState(constB62, constB63)) | (~v26(constB62)) | v66(constB63))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23469,plain,
% 135.95/86.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | ((~nextState(constB62, constB63)) | (~v26(constB62)) | v66(constB63))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23470,plain,
% 135.95/86.64 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v26(VarCurr)) | v66(VarNext))) | (~nextState(constB62, constB63)) | (~v26(constB62)) | v66(constB63)),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23469, 23468])).
% 135.95/86.64 tff(23471,plain,
% 135.95/86.64 ((~v26(constB62)) | v66(constB63)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23470, 18221, 23161])).
% 135.95/86.64 tff(23472,plain,
% 135.95/86.64 (~v26(constB62)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23471, 23467])).
% 135.95/86.64 tff(23473,plain,
% 135.95/86.64 (^[VarCurr: $i] : refl((v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr))) <=> (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr))))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23474,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23473])).
% 135.95/86.64 tff(23475,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23476,plain,
% 135.95/86.64 (^[VarCurr: $i] : rewrite(((v141(VarCurr) | v26(VarCurr)) | (~v140(VarCurr))) <=> (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr))))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23477,plain,
% 135.95/86.64 (![VarCurr: $i] : ((v141(VarCurr) | v26(VarCurr)) | (~v140(VarCurr))) <=> ![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23476])).
% 135.95/86.64 tff(23478,axiom,(![VarCurr: $i] : ((v141(VarCurr) | v26(VarCurr)) | (~v140(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_29_1_1_3')).
% 135.95/86.64 tff(23479,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23478, 23477])).
% 135.95/86.64 tff(23480,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23479, 23475])).
% 135.95/86.64 tff(23481,plain,(
% 135.95/86.64 ![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))),
% 135.95/86.64 inference(skolemize,[status(sab)],[23480])).
% 135.95/86.64 tff(23482,plain,
% 135.95/86.64 (![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23481, 23474])).
% 135.95/86.64 tff(23483,plain,
% 135.95/86.64 (((~![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))) | (v26(constB62) | v141(constB62) | (~v140(constB62)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))) | v26(constB62) | v141(constB62) | (~v140(constB62)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23484,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))) | (v26(constB62) | v141(constB62) | (~v140(constB62)))),
% 135.95/86.64 inference(quant_inst,[status(thm)],[])).
% 135.95/86.64 tff(23485,plain,
% 135.95/86.64 ((~![VarCurr: $i] : (v26(VarCurr) | v141(VarCurr) | (~v140(VarCurr)))) | v26(constB62) | v141(constB62) | (~v140(constB62))),
% 135.95/86.64 inference(modus_ponens,[status(thm)],[23484, 23483])).
% 135.95/86.64 tff(23486,plain,
% 135.95/86.64 (v26(constB62) | (~v140(constB62))),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23485, 23482, 23145])).
% 135.95/86.64 tff(23487,plain,
% 135.95/86.64 (~v140(constB62)),
% 135.95/86.64 inference(unit_resolution,[status(thm)],[23486, 23472])).
% 135.95/86.64 tff(23488,plain,
% 135.95/86.64 (^[VarCurr: $i] : refl((v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr))) <=> (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr))))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23489,plain,
% 135.95/86.64 (![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))),
% 135.95/86.64 inference(quant_intro,[status(thm)],[23488])).
% 135.95/86.64 tff(23490,plain,
% 135.95/86.64 (![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))),
% 135.95/86.64 inference(rewrite,[status(thm)],[])).
% 135.95/86.64 tff(23491,plain,
% 135.95/86.64 (^[VarCurr: $i] : rewrite(((v138(VarCurr) | (~v137(VarCurr))) | v140(VarCurr)) <=> (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr))))),
% 135.95/86.64 inference(bind,[status(th)],[])).
% 135.95/86.64 tff(23492,plain,
% 135.95/86.64 (![VarCurr: $i] : ((v138(VarCurr) | (~v137(VarCurr))) | v140(VarCurr)) <=> ![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))),
% 135.95/86.65 inference(quant_intro,[status(thm)],[23491])).
% 135.95/86.65 tff(23493,axiom,(![VarCurr: $i] : ((v138(VarCurr) | (~v137(VarCurr))) | v140(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_30_1_1_1')).
% 135.95/86.65 tff(23494,plain,
% 135.95/86.65 (![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23493, 23492])).
% 135.95/86.65 tff(23495,plain,
% 135.95/86.65 (![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23494, 23490])).
% 135.95/86.65 tff(23496,plain,(
% 135.95/86.65 ![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))),
% 135.95/86.65 inference(skolemize,[status(sab)],[23495])).
% 135.95/86.65 tff(23497,plain,
% 135.95/86.65 (![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23496, 23489])).
% 135.95/86.65 tff(23498,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))) | ((~v137(constB62)) | v140(constB62) | v138(constB62))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))) | (~v137(constB62)) | v140(constB62) | v138(constB62))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23499,plain,
% 135.95/86.65 ((v140(constB62) | v138(constB62) | (~v137(constB62))) <=> ((~v137(constB62)) | v140(constB62) | v138(constB62))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23500,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))) | (v140(constB62) | v138(constB62) | (~v137(constB62)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))) | ((~v137(constB62)) | v140(constB62) | v138(constB62)))),
% 135.95/86.65 inference(monotonicity,[status(thm)],[23499])).
% 135.95/86.65 tff(23501,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))) | (v140(constB62) | v138(constB62) | (~v137(constB62)))) <=> ((~![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))) | (~v137(constB62)) | v140(constB62) | v138(constB62))),
% 135.95/86.65 inference(transitivity,[status(thm)],[23500, 23498])).
% 135.95/86.65 tff(23502,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))) | (v140(constB62) | v138(constB62) | (~v137(constB62)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23503,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v140(VarCurr) | v138(VarCurr) | (~v137(VarCurr)))) | (~v137(constB62)) | v140(constB62) | v138(constB62)),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23502, 23501])).
% 135.95/86.65 tff(23504,plain,
% 135.95/86.65 ((~v137(constB62)) | v138(constB62)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23503, 23497, 23487])).
% 135.95/86.65 tff(23505,plain,
% 135.95/86.65 (~v137(constB62)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23504, 23419])).
% 135.95/86.65 tff(23506,plain,
% 135.95/86.65 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))) | ((~nextState(constB61, constB62)) | (~v135(constB61)) | v137(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))) | (~nextState(constB61, constB62)) | (~v135(constB61)) | v137(constB62))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23507,plain,
% 135.95/86.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))) | ((~nextState(constB61, constB62)) | (~v135(constB61)) | v137(constB62))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23508,plain,
% 135.95/86.65 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v135(VarCurr)) | v137(VarNext))) | (~nextState(constB61, constB62)) | (~v135(constB61)) | v137(constB62)),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23507, 23506])).
% 135.95/86.65 tff(23509,plain,
% 135.95/86.65 ((~v135(constB61)) | v137(constB62)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23508, 23403, 23106])).
% 135.95/86.65 tff(23510,plain,
% 135.95/86.65 (~v135(constB61)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23509, 23505])).
% 135.95/86.65 tff(23511,plain,
% 135.95/86.65 (^[VarCurr: $i] : refl((v135(VarCurr) | (~v142(VarCurr))) <=> (v135(VarCurr) | (~v142(VarCurr))))),
% 135.95/86.65 inference(bind,[status(th)],[])).
% 135.95/86.65 tff(23512,plain,
% 135.95/86.65 (![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))),
% 135.95/86.65 inference(quant_intro,[status(thm)],[23511])).
% 135.95/86.65 tff(23513,plain,
% 135.95/86.65 (![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23514,axiom,(![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_33_1_1')).
% 135.95/86.65 tff(23515,plain,
% 135.95/86.65 (![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23514, 23513])).
% 135.95/86.65 tff(23516,plain,(
% 135.95/86.65 ![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))),
% 135.95/86.65 inference(skolemize,[status(sab)],[23515])).
% 135.95/86.65 tff(23517,plain,
% 135.95/86.65 (![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23516, 23512])).
% 135.95/86.65 tff(23518,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))) | (v135(constB61) | (~v142(constB61)))) <=> ((~![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))) | v135(constB61) | (~v142(constB61)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23519,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))) | (v135(constB61) | (~v142(constB61)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23520,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v135(VarCurr) | (~v142(VarCurr)))) | v135(constB61) | (~v142(constB61))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23519, 23518])).
% 135.95/86.65 tff(23521,plain,
% 135.95/86.65 (~v142(constB61)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23520, 23517, 23510])).
% 135.95/86.65 tff(23522,assumption,(v26(constB61)), introduced(assumption)).
% 135.95/86.65 tff(23523,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23524,plain,
% 135.95/86.65 ($false),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23523, 1172, 23522])).
% 135.95/86.65 tff(23525,plain,(~v26(constB61)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.65 tff(23526,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB61) | v142(constB61) | (~v144(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB61) | v142(constB61) | (~v144(constB61)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23527,plain,
% 135.95/86.65 ((v26(constB61) | (~v144(constB61)) | v142(constB61)) <=> (v26(constB61) | v142(constB61) | (~v144(constB61)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23528,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB61) | (~v144(constB61)) | v142(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB61) | v142(constB61) | (~v144(constB61))))),
% 135.95/86.65 inference(monotonicity,[status(thm)],[23527])).
% 135.95/86.65 tff(23529,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB61) | (~v144(constB61)) | v142(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB61) | v142(constB61) | (~v144(constB61)))),
% 135.95/86.65 inference(transitivity,[status(thm)],[23528, 23526])).
% 135.95/86.65 tff(23530,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB61) | (~v144(constB61)) | v142(constB61))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23531,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB61) | v142(constB61) | (~v144(constB61))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23530, 23529])).
% 135.95/86.65 tff(23532,plain,
% 135.95/86.65 (v142(constB61) | (~v144(constB61))),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23531, 17990, 23525])).
% 135.95/86.65 tff(23533,plain,
% 135.95/86.65 (~v144(constB61)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23532, 23521])).
% 135.95/86.65 tff(23534,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (v144(constB61) | (~v141(constB61)) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | v144(constB61) | (~v141(constB61)) | (~v145(constB61)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23535,plain,
% 135.95/86.65 (((~v141(constB61)) | (~v145(constB61)) | v144(constB61)) <=> (v144(constB61) | (~v141(constB61)) | (~v145(constB61)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23536,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB61)) | (~v145(constB61)) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (v144(constB61) | (~v141(constB61)) | (~v145(constB61))))),
% 135.95/86.65 inference(monotonicity,[status(thm)],[23535])).
% 135.95/86.65 tff(23537,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB61)) | (~v145(constB61)) | v144(constB61))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | v144(constB61) | (~v141(constB61)) | (~v145(constB61)))),
% 135.95/86.65 inference(transitivity,[status(thm)],[23536, 23534])).
% 135.95/86.65 tff(23538,plain,
% 135.95/86.65 ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB61)) | (~v145(constB61)) | v144(constB61))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23539,plain,
% 135.95/86.65 ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | v144(constB61) | (~v141(constB61)) | (~v145(constB61))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23538, 23537])).
% 135.95/86.65 tff(23540,plain,
% 135.95/86.65 (v144(constB61) | (~v145(constB61))),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23539, 18010, 23119])).
% 135.95/86.65 tff(23541,plain,
% 135.95/86.65 (~v145(constB61)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23540, 23533])).
% 135.95/86.65 tff(23542,assumption,(~v84(constB60, bitIndex1)), introduced(assumption)).
% 135.95/86.65 tff(23543,assumption,(~v102(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23544,plain,
% 135.95/86.65 (~v106(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22958, 619, 23543])).
% 135.95/86.65 tff(23545,plain,
% 135.95/86.65 (~v26(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22962, 630, 23543])).
% 135.95/86.65 tff(23546,assumption,(v107(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23547,plain,
% 135.95/86.65 (v26(constB59) | v106(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22969, 644, 23546])).
% 135.95/86.65 tff(23548,plain,
% 135.95/86.65 ($false),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23547, 23545, 23544])).
% 135.95/86.65 tff(23549,plain,(v102(constB59) | (~v107(constB59))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.65 tff(23550,plain,
% 135.95/86.65 (~v107(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23549, 22955])).
% 135.95/86.65 tff(23551,plain,
% 135.95/86.65 (~v108(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22973, 658, 23550])).
% 135.95/86.65 tff(23552,plain,
% 135.95/86.65 (~v109(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22977, 669, 23551])).
% 135.95/86.65 tff(23553,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB59) | (~v172(constB59)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB59) | (~v172(constB59)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23554,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB59) | (~v172(constB59)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23555,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB59) | (~v172(constB59))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 135.95/86.65 tff(23556,plain,
% 135.95/86.65 (~v172(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23555, 1033, 23552])).
% 135.95/86.65 tff(23557,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB59) | (~v119(constB59)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB59) | (~v119(constB59)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23558,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB59) | (~v119(constB59)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23559,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB59) | (~v119(constB59))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23558, 23557])).
% 135.95/86.65 tff(23560,plain,
% 135.95/86.65 (~v119(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23559, 1927, 23550])).
% 135.95/86.65 tff(23561,plain,
% 135.95/86.65 (~v110(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22981, 680, 23552])).
% 135.95/86.65 tff(23562,plain,
% 135.95/86.65 (~v111(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22985, 691, 23561])).
% 135.95/86.65 tff(23563,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB59) | (~v116(constB59)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB59) | (~v116(constB59)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23564,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB59) | (~v116(constB59)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23565,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB59) | (~v116(constB59))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23564, 23563])).
% 135.95/86.65 tff(23566,plain,
% 135.95/86.65 (~v116(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23565, 934, 23561])).
% 135.95/86.65 tff(23567,plain,
% 135.95/86.65 (~v112(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22989, 702, 23562])).
% 135.95/86.65 tff(23568,plain,
% 135.95/86.65 (~v145(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22993, 713, 23567])).
% 135.95/86.65 tff(23569,assumption,(~v111(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23570,plain,
% 135.95/86.65 (~v112(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[22989, 702, 23569])).
% 135.95/86.65 tff(23571,assumption,(~v84(constB59, bitIndex2)), introduced(assumption)).
% 135.95/86.65 tff(23572,assumption,(~v116(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23573,assumption,(~v145(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23574,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB59) | (~v115(constB59)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB59) | (~v115(constB59)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23575,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB59) | (~v115(constB59)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23576,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB59) | (~v115(constB59))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23575, 23574])).
% 135.95/86.65 tff(23577,plain,
% 135.95/86.65 (~v115(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23576, 945, 23569])).
% 135.95/86.65 tff(23578,assumption,(~v113(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23579,assumption,(~v84(constB59, bitIndex1)), introduced(assumption)).
% 135.95/86.65 tff(23580,plain,
% 135.95/86.65 (v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0))),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23308, 865, 23573])).
% 135.95/86.65 tff(23581,plain,
% 135.95/86.65 (~v84(constB59, bitIndex0)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23580, 23579, 23571])).
% 135.95/86.65 tff(23582,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB59) | v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB59) | v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23583,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB59) | v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23584,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB59) | v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2)),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23583, 23582])).
% 135.95/86.65 tff(23585,plain,
% 135.95/86.65 (v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | v84(constB59, bitIndex2)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23584, 983, 23578])).
% 135.95/86.65 tff(23586,plain,
% 135.95/86.65 ($false),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23585, 23581, 23579, 23571])).
% 135.95/86.65 tff(23587,plain,(v84(constB59, bitIndex1) | v84(constB59, bitIndex2) | v113(constB59) | v145(constB59)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.65 tff(23588,plain,
% 135.95/86.65 (v84(constB59, bitIndex1)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23587, 23571, 23578, 23573])).
% 135.95/86.65 tff(23589,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v116(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v116(constB59))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23590,plain,
% 135.95/86.65 (((~v84(constB59, bitIndex0)) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v116(constB59)) <=> ((~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v116(constB59))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23591,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB59, bitIndex0)) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v116(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v116(constB59)))),
% 135.95/86.65 inference(monotonicity,[status(thm)],[23590])).
% 135.95/86.65 tff(23592,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB59, bitIndex0)) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v116(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v116(constB59))),
% 135.95/86.65 inference(transitivity,[status(thm)],[23591, 23589])).
% 135.95/86.65 tff(23593,plain,
% 135.95/86.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB59, bitIndex0)) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v116(constB59))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23594,plain,
% 135.95/86.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0)) | v116(constB59)),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23593, 23592])).
% 135.95/86.65 tff(23595,plain,
% 135.95/86.65 ((~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | (~v84(constB59, bitIndex0))),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23594, 1076, 23572])).
% 135.95/86.65 tff(23596,plain,
% 135.95/86.65 (~v84(constB59, bitIndex0)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23595, 23588, 23571])).
% 135.95/86.65 tff(23597,assumption,(~v115(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23598,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23599,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23600,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2) | v115(constB59)),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23599, 23598])).
% 135.95/86.65 tff(23601,plain,
% 135.95/86.65 (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | v84(constB59, bitIndex2)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23600, 1095, 23597])).
% 135.95/86.65 tff(23602,plain,
% 135.95/86.65 ($false),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23601, 23596, 23588, 23571])).
% 135.95/86.65 tff(23603,plain,(v84(constB59, bitIndex2) | v115(constB59) | v116(constB59) | v113(constB59) | v145(constB59)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.65 tff(23604,plain,
% 135.95/86.65 (v113(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23603, 23577, 23573, 23572, 23571])).
% 135.95/86.65 tff(23605,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB59) | (~v113(constB59)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB59) | (~v113(constB59)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23606,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB59) | (~v113(constB59)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23607,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB59) | (~v113(constB59))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23606, 23605])).
% 135.95/86.65 tff(23608,plain,
% 135.95/86.65 ($false),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23607, 969, 23604, 23570])).
% 135.95/86.65 tff(23609,plain,(v111(constB59) | v145(constB59) | v116(constB59) | v84(constB59, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.65 tff(23610,plain,
% 135.95/86.65 (v84(constB59, bitIndex2)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23609, 23568, 23566, 23562])).
% 135.95/86.65 tff(23611,assumption,(v84(constB59, bitIndex2)), introduced(assumption)).
% 135.95/86.65 tff(23612,assumption,(~v84(constB59, bitIndex0)), introduced(assumption)).
% 135.95/86.65 tff(23613,assumption,(~v119(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23614,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB59) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB59) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23615,plain,
% 135.95/86.65 ((v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2)) | v119(constB59)) <=> (v119(constB59) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23616,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2)) | v119(constB59))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB59) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2))))),
% 135.95/86.65 inference(monotonicity,[status(thm)],[23615])).
% 135.95/86.65 tff(23617,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2)) | v119(constB59))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB59) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2)))),
% 135.95/86.65 inference(transitivity,[status(thm)],[23616, 23614])).
% 135.95/86.65 tff(23618,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2)) | v119(constB59))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23619,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB59) | v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23618, 23617])).
% 135.95/86.65 tff(23620,plain,
% 135.95/86.65 (v84(constB59, bitIndex0) | (~v84(constB59, bitIndex1)) | (~v84(constB59, bitIndex2))),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23619, 1910, 23613])).
% 135.95/86.65 tff(23621,plain,
% 135.95/86.65 (~v84(constB59, bitIndex1)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23620, 23612, 23611])).
% 135.95/86.65 tff(23622,assumption,(~v172(constB59)), introduced(assumption)).
% 135.95/86.65 tff(23623,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v172(constB59))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v172(constB59))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23624,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v172(constB59))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23625,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v172(constB59)),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23624, 23623])).
% 135.95/86.65 tff(23626,plain,
% 135.95/86.65 (v84(constB59, bitIndex0) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2))),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23625, 1047, 23622])).
% 135.95/86.65 tff(23627,plain,
% 135.95/86.65 ($false),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23626, 23621, 23612, 23611])).
% 135.95/86.65 tff(23628,plain,(v84(constB59, bitIndex0) | (~v84(constB59, bitIndex2)) | v172(constB59) | v119(constB59)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.65 tff(23629,plain,
% 135.95/86.65 (v84(constB59, bitIndex0)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23628, 23610, 23560, 23556])).
% 135.95/86.65 tff(23630,plain,
% 135.95/86.65 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB59) | (~v118(constB59)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB59) | (~v118(constB59)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23631,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB59) | (~v118(constB59)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23632,plain,
% 135.95/86.65 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB59) | (~v118(constB59))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23631, 23630])).
% 135.95/86.65 tff(23633,plain,
% 135.95/86.65 (~v118(constB59)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23632, 1004, 23551])).
% 135.95/86.65 tff(23634,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59) | (~v84(constB59, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59) | (~v84(constB59, bitIndex0)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23635,plain,
% 135.95/86.65 (((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59)) <=> (v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59) | (~v84(constB59, bitIndex0)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23636,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59) | (~v84(constB59, bitIndex0))))),
% 135.95/86.65 inference(monotonicity,[status(thm)],[23635])).
% 135.95/86.65 tff(23637,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59) | (~v84(constB59, bitIndex0)))),
% 135.95/86.65 inference(transitivity,[status(thm)],[23636, 23634])).
% 135.95/86.65 tff(23638,plain,
% 135.95/86.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB59, bitIndex0)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23639,plain,
% 135.95/86.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | v118(constB59) | (~v84(constB59, bitIndex0))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23638, 23637])).
% 135.95/86.65 tff(23640,plain,
% 135.95/86.65 (v84(constB59, bitIndex1) | (~v84(constB59, bitIndex2)) | (~v84(constB59, bitIndex0))),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23639, 1018, 23633])).
% 135.95/86.65 tff(23641,plain,
% 135.95/86.65 (v84(constB59, bitIndex1)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23640, 23610, 23629])).
% 135.95/86.65 tff(23642,plain,
% 135.95/86.65 ($false),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23301, 777, 823, 22924, 22917, 23641, 23542])).
% 135.95/86.65 tff(23643,plain,(v84(constB60, bitIndex1) | v94(constB60)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.65 tff(23644,plain,
% 135.95/86.65 (v84(constB60, bitIndex1)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23643, 22917])).
% 135.95/86.65 tff(23645,assumption,(v84(constB60, bitIndex1)), introduced(assumption)).
% 135.95/86.65 tff(23646,assumption,(~v84(constB61, bitIndex1)), introduced(assumption)).
% 135.95/86.65 tff(23647,plain,
% 135.95/86.65 ($false),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23294, 777, 823, 23074, 23246, 23646, 23645])).
% 135.95/86.65 tff(23648,plain,(v84(constB61, bitIndex1) | (~v84(constB60, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.65 tff(23649,plain,
% 135.95/86.65 (v84(constB61, bitIndex1)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23648, 23644])).
% 135.95/86.65 tff(23650,plain,
% 135.95/86.65 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v172(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v172(constB61)))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23651,plain,
% 135.95/86.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v172(constB61)))),
% 135.95/86.65 inference(quant_inst,[status(thm)],[])).
% 135.95/86.65 tff(23652,plain,
% 135.95/86.65 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v172(constB61))),
% 135.95/86.65 inference(modus_ponens,[status(thm)],[23651, 23650])).
% 135.95/86.65 tff(23653,plain,
% 135.95/86.65 (~v172(constB61)),
% 135.95/86.65 inference(unit_resolution,[status(thm)],[23652, 2289, 23649])).
% 135.95/86.65 tff(23654,assumption,(~v84(constB60, bitIndex0)), introduced(assumption)).
% 135.95/86.65 tff(23655,plain,
% 135.95/86.65 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB59, bitIndex0)) | v84(constB60, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB59, bitIndex0)) | v84(constB60, bitIndex0))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23656,plain,
% 135.95/86.65 (((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB59, bitIndex0))) <=> ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB59, bitIndex0)) | v84(constB60, bitIndex0))),
% 135.95/86.65 inference(rewrite,[status(thm)],[])).
% 135.95/86.65 tff(23657,plain,
% 135.95/86.66 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB59, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB59, bitIndex0)) | v84(constB60, bitIndex0)))),
% 135.95/86.66 inference(monotonicity,[status(thm)],[23656])).
% 135.95/86.66 tff(23658,plain,
% 135.95/86.66 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB59, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB59, bitIndex0)) | v84(constB60, bitIndex0))),
% 135.95/86.66 inference(transitivity,[status(thm)],[23657, 23655])).
% 135.95/86.66 tff(23659,plain,
% 135.95/86.66 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | v84(constB60, bitIndex0) | (~v84(constB59, bitIndex0)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23660,plain,
% 135.95/86.66 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB59, constB60)) | v94(constB60) | (~less_3(bitIndex0)) | (~v84(constB59, bitIndex0)) | v84(constB60, bitIndex0)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23659, 23658])).
% 135.95/86.66 tff(23661,plain,
% 135.95/86.66 ($false),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23660, 777, 795, 22924, 22917, 23629, 23654])).
% 135.95/86.66 tff(23662,plain,(v84(constB60, bitIndex0) | v94(constB60)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.66 tff(23663,plain,
% 135.95/86.66 (v84(constB60, bitIndex0)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23662, 22917])).
% 135.95/86.66 tff(23664,assumption,(v84(constB60, bitIndex0)), introduced(assumption)).
% 135.95/86.66 tff(23665,assumption,(~v84(constB61, bitIndex0)), introduced(assumption)).
% 135.95/86.66 tff(23666,plain,
% 135.95/86.66 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB61, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB61, bitIndex0))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23667,plain,
% 135.95/86.66 (((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB61, bitIndex0) | (~v84(constB60, bitIndex0))) <=> ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB61, bitIndex0))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23668,plain,
% 135.95/86.66 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB61, bitIndex0) | (~v84(constB60, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB61, bitIndex0)))),
% 135.95/86.66 inference(monotonicity,[status(thm)],[23667])).
% 135.95/86.66 tff(23669,plain,
% 135.95/86.66 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB61, bitIndex0) | (~v84(constB60, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB61, bitIndex0))),
% 135.95/86.66 inference(transitivity,[status(thm)],[23668, 23666])).
% 135.95/86.66 tff(23670,plain,
% 135.95/86.66 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | v84(constB61, bitIndex0) | (~v84(constB60, bitIndex0)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23671,plain,
% 135.95/86.66 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB60, constB61)) | v94(constB61) | (~less_3(bitIndex0)) | (~v84(constB60, bitIndex0)) | v84(constB61, bitIndex0)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23670, 23669])).
% 135.95/86.66 tff(23672,plain,
% 135.95/86.66 ($false),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23671, 777, 795, 23074, 23246, 23665, 23664])).
% 135.95/86.66 tff(23673,plain,(v84(constB61, bitIndex0) | (~v84(constB60, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.66 tff(23674,plain,
% 135.95/86.66 (v84(constB61, bitIndex0)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23673, 23663])).
% 135.95/86.66 tff(23675,plain,
% 135.95/86.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB61, bitIndex0)) | (~v115(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB61, bitIndex0)) | (~v115(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23676,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB61, bitIndex0)) | (~v115(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23677,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB61, bitIndex0)) | (~v115(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23676, 23675])).
% 135.95/86.66 tff(23678,plain,
% 135.95/86.66 (~v115(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23677, 3011, 23674])).
% 135.95/86.66 tff(23679,assumption,(~v145(constB61)), introduced(assumption)).
% 135.95/86.66 tff(23680,assumption,(v107(constB61)), introduced(assumption)).
% 135.95/86.66 tff(23681,assumption,(~v172(constB61)), introduced(assumption)).
% 135.95/86.66 tff(23682,assumption,(~v115(constB61)), introduced(assumption)).
% 135.95/86.66 tff(23683,assumption,(~v84(constB60, bitIndex2)), introduced(assumption)).
% 135.95/86.66 tff(23684,plain,
% 135.95/86.66 ($false),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23259, 777, 767, 22924, 22917, 23610, 23683])).
% 135.95/86.66 tff(23685,plain,(v84(constB60, bitIndex2) | v94(constB60)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.66 tff(23686,plain,
% 135.95/86.66 (v84(constB60, bitIndex2)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23685, 22917])).
% 135.95/86.66 tff(23687,assumption,(v84(constB60, bitIndex2)), introduced(assumption)).
% 135.95/86.66 tff(23688,assumption,(~v84(constB61, bitIndex2)), introduced(assumption)).
% 135.95/86.66 tff(23689,plain,
% 135.95/86.66 ($false),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23252, 777, 767, 23074, 23246, 23688, 23687])).
% 135.95/86.66 tff(23690,plain,(v84(constB61, bitIndex2) | (~v84(constB60, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.66 tff(23691,plain,
% 135.95/86.66 (v84(constB61, bitIndex2)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23690, 23686])).
% 135.95/86.66 tff(23692,plain,
% 135.95/86.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v116(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB61, bitIndex2)) | (~v116(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23693,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB61, bitIndex2)) | (~v116(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23694,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB61, bitIndex2)) | (~v116(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23693, 23692])).
% 135.95/86.66 tff(23695,plain,
% 135.95/86.66 (~v116(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23694, 1130, 23691])).
% 135.95/86.66 tff(23696,plain,
% 135.95/86.66 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB61)) | (~v84(constB61, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB61)) | (~v84(constB61, bitIndex1)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23697,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB61)) | (~v84(constB61, bitIndex1)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23698,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB61)) | (~v84(constB61, bitIndex1))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23697, 23696])).
% 135.95/86.66 tff(23699,plain,
% 135.95/86.66 (~v113(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23698, 1465, 23649])).
% 135.95/86.66 tff(23700,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB61) | (~v112(constB61)) | v113(constB61))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB61) | (~v112(constB61)) | v113(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23701,plain,
% 135.95/86.66 ((v113(constB61) | (~v112(constB61)) | v145(constB61)) <=> (v145(constB61) | (~v112(constB61)) | v113(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23702,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB61) | (~v112(constB61)) | v145(constB61))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB61) | (~v112(constB61)) | v113(constB61)))),
% 135.95/86.66 inference(monotonicity,[status(thm)],[23701])).
% 135.95/86.66 tff(23703,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB61) | (~v112(constB61)) | v145(constB61))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB61) | (~v112(constB61)) | v113(constB61))),
% 135.95/86.66 inference(transitivity,[status(thm)],[23702, 23700])).
% 135.95/86.66 tff(23704,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB61) | (~v112(constB61)) | v145(constB61))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23705,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB61) | (~v112(constB61)) | v113(constB61)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23704, 23703])).
% 135.95/86.66 tff(23706,plain,
% 135.95/86.66 ((~v112(constB61)) | v113(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23705, 2894, 23679])).
% 135.95/86.66 tff(23707,plain,
% 135.95/86.66 (~v112(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23706, 23699])).
% 135.95/86.66 tff(23708,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB61) | v115(constB61) | (~v111(constB61)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB61) | v115(constB61) | (~v111(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23709,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB61) | v115(constB61) | (~v111(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23710,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB61) | v115(constB61) | (~v111(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23709, 23708])).
% 135.95/86.66 tff(23711,plain,
% 135.95/86.66 (v112(constB61) | (~v111(constB61))),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23710, 2911, 23682])).
% 135.95/86.66 tff(23712,plain,
% 135.95/86.66 (~v111(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23711, 23707])).
% 135.95/86.66 tff(23713,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB61) | v116(constB61) | (~v110(constB61)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB61) | v116(constB61) | (~v110(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23714,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB61) | v116(constB61) | (~v110(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23715,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB61) | v116(constB61) | (~v110(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23714, 23713])).
% 135.95/86.66 tff(23716,plain,
% 135.95/86.66 (v116(constB61) | (~v110(constB61))),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23715, 2932, 23712])).
% 135.95/86.66 tff(23717,plain,
% 135.95/86.66 (~v110(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23716, 23695])).
% 135.95/86.66 tff(23718,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB61)) | v172(constB61) | v110(constB61))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB61)) | v172(constB61) | v110(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23719,plain,
% 135.95/86.66 ((v110(constB61) | (~v109(constB61)) | v172(constB61)) <=> ((~v109(constB61)) | v172(constB61) | v110(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23720,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB61) | (~v109(constB61)) | v172(constB61))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB61)) | v172(constB61) | v110(constB61)))),
% 135.95/86.66 inference(monotonicity,[status(thm)],[23719])).
% 135.95/86.66 tff(23721,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB61) | (~v109(constB61)) | v172(constB61))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB61)) | v172(constB61) | v110(constB61))),
% 135.95/86.66 inference(transitivity,[status(thm)],[23720, 23718])).
% 135.95/86.66 tff(23722,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB61) | (~v109(constB61)) | v172(constB61))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23723,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB61)) | v172(constB61) | v110(constB61)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23722, 23721])).
% 135.95/86.66 tff(23724,plain,
% 135.95/86.66 ((~v109(constB61)) | v110(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23723, 2871, 23681])).
% 135.95/86.66 tff(23725,plain,
% 135.95/86.66 (~v109(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23724, 23717])).
% 135.95/86.66 tff(23726,assumption,(~v118(constB61)), introduced(assumption)).
% 135.95/86.66 tff(23727,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB61) | v118(constB61) | (~v108(constB61)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB61) | v118(constB61) | (~v108(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23728,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB61) | v118(constB61) | (~v108(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23729,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB61) | v118(constB61) | (~v108(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23728, 23727])).
% 135.95/86.66 tff(23730,plain,
% 135.95/86.66 (v109(constB61) | (~v108(constB61))),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23729, 2856, 23726])).
% 135.95/86.66 tff(23731,plain,
% 135.95/86.66 (~v108(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23730, 23725])).
% 135.95/86.66 tff(23732,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB61) | v119(constB61) | (~v107(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB61) | v119(constB61) | (~v107(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23733,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB61) | v119(constB61) | (~v107(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23734,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB61) | v119(constB61) | (~v107(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23733, 23732])).
% 135.95/86.66 tff(23735,plain,
% 135.95/86.66 (v108(constB61) | v119(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23734, 3195, 23680])).
% 135.95/86.66 tff(23736,plain,
% 135.95/86.66 (v119(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23735, 23731])).
% 135.95/86.66 tff(23737,plain,
% 135.95/86.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB61)) | (~v84(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB61)) | (~v84(constB61, bitIndex0)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23738,plain,
% 135.95/86.66 (((~v84(constB61, bitIndex0)) | (~v119(constB61))) <=> ((~v119(constB61)) | (~v84(constB61, bitIndex0)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23739,plain,
% 135.95/86.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB61, bitIndex0)) | (~v119(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB61)) | (~v84(constB61, bitIndex0))))),
% 135.95/86.66 inference(monotonicity,[status(thm)],[23738])).
% 135.95/86.66 tff(23740,plain,
% 135.95/86.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB61, bitIndex0)) | (~v119(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB61)) | (~v84(constB61, bitIndex0)))),
% 135.95/86.66 inference(transitivity,[status(thm)],[23739, 23737])).
% 135.95/86.66 tff(23741,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB61, bitIndex0)) | (~v119(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23742,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB61)) | (~v84(constB61, bitIndex0))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23741, 23740])).
% 135.95/86.66 tff(23743,plain,
% 135.95/86.66 (~v84(constB61, bitIndex0)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23742, 3173, 23736])).
% 135.95/86.66 tff(23744,plain,
% 135.95/86.66 ($false),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23671, 777, 795, 23074, 23246, 23743, 23663])).
% 135.95/86.66 tff(23745,plain,(v94(constB60) | (~v107(constB61)) | v118(constB61) | v172(constB61) | v115(constB61) | v145(constB61)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.66 tff(23746,plain,
% 135.95/86.66 (v118(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23745, 22917, 23682, 23681, 23680, 23679])).
% 135.95/86.66 tff(23747,plain,
% 135.95/86.66 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v118(constB61)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v118(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23748,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB61, bitIndex1)) | (~v118(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23749,plain,
% 135.95/86.66 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB61, bitIndex1)) | (~v118(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23748, 23747])).
% 135.95/86.66 tff(23750,plain,
% 135.95/86.66 ($false),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23749, 2842, 23649, 23746])).
% 135.95/86.66 tff(23751,plain,(v94(constB60) | v115(constB61) | v172(constB61) | (~v107(constB61)) | v145(constB61)), inference(lemma,lemma(discharge,[]))).
% 135.95/86.66 tff(23752,plain,
% 135.95/86.66 (~v107(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23751, 23678, 22917, 23653, 23541])).
% 135.95/86.66 tff(23753,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB61) | (~v106(constB61)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB61) | (~v106(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23754,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB61) | (~v106(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23755,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB61) | (~v106(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23754, 23753])).
% 135.95/86.66 tff(23756,plain,
% 135.95/86.66 (~v106(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23755, 3161, 23752])).
% 135.95/86.66 tff(23757,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB61)) | v26(constB61) | v106(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB61)) | v26(constB61) | v106(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23758,plain,
% 135.95/86.66 ((v26(constB61) | v106(constB61) | (~v102(constB61))) <=> ((~v102(constB61)) | v26(constB61) | v106(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23759,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB61) | v106(constB61) | (~v102(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB61)) | v26(constB61) | v106(constB61)))),
% 135.95/86.66 inference(monotonicity,[status(thm)],[23758])).
% 135.95/86.66 tff(23760,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB61) | v106(constB61) | (~v102(constB61)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB61)) | v26(constB61) | v106(constB61))),
% 135.95/86.66 inference(transitivity,[status(thm)],[23759, 23757])).
% 135.95/86.66 tff(23761,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB61) | v106(constB61) | (~v102(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23762,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB61)) | v26(constB61) | v106(constB61)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23761, 23760])).
% 135.95/86.66 tff(23763,plain,
% 135.95/86.66 ((~v102(constB61)) | v106(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23762, 3146, 23525])).
% 135.95/86.66 tff(23764,plain,
% 135.95/86.66 (~v102(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23763, 23756])).
% 135.95/86.66 tff(23765,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB61, constB62)) | (~v104(constB62)) | v102(constB61))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB61, constB62)) | (~v104(constB62)) | v102(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23766,plain,
% 135.95/86.66 (((~nextState(constB61, constB62)) | v102(constB61) | (~v104(constB62))) <=> ((~nextState(constB61, constB62)) | (~v104(constB62)) | v102(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23767,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB61, constB62)) | v102(constB61) | (~v104(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB61, constB62)) | (~v104(constB62)) | v102(constB61)))),
% 135.95/86.66 inference(monotonicity,[status(thm)],[23766])).
% 135.95/86.66 tff(23768,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB61, constB62)) | v102(constB61) | (~v104(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB61, constB62)) | (~v104(constB62)) | v102(constB61))),
% 135.95/86.66 inference(transitivity,[status(thm)],[23767, 23765])).
% 135.95/86.66 tff(23769,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB61, constB62)) | v102(constB61) | (~v104(constB62)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23770,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB61, constB62)) | (~v104(constB62)) | v102(constB61)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23769, 23768])).
% 135.95/86.66 tff(23771,plain,
% 135.95/86.66 ((~v104(constB62)) | v102(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23770, 3128, 23106])).
% 135.95/86.66 tff(23772,plain,
% 135.95/86.66 (~v104(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23771, 23764])).
% 135.95/86.66 tff(23773,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v94(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v94(constB62)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23774,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v94(constB62)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23775,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v94(constB62))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23774, 23773])).
% 135.95/86.66 tff(23776,plain,
% 135.95/86.66 (v104(constB62) | (~v94(constB62))),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23775, 3113, 23106])).
% 135.95/86.66 tff(23777,plain,
% 135.95/86.66 (~v94(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23776, 23772])).
% 135.95/86.66 tff(23778,assumption,(~v94(constB62)), introduced(assumption)).
% 135.95/86.66 tff(23779,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23780,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23781,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB61) | (~nextState(constB61, constB62)) | (~v98(constB62))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23780, 23779])).
% 135.95/86.66 tff(23782,plain,
% 135.95/86.66 (~v98(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23781, 541, 23106, 23114])).
% 135.95/86.66 tff(23783,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23784,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB61, constB62)) | v96(constB62) | v98(constB62))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23785,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB61, constB62)) | v96(constB62) | v98(constB62)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23784, 23783])).
% 135.95/86.66 tff(23786,plain,
% 135.95/86.66 (v96(constB62) | v98(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23785, 555, 23106])).
% 135.95/86.66 tff(23787,plain,
% 135.95/86.66 (v96(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23786, 23782])).
% 135.95/86.66 tff(23788,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23789,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23790,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB61, constB62)) | v95(constB62) | (~v96(constB62)) | (~v1(constB62))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23789, 23788])).
% 135.95/86.66 tff(23791,plain,
% 135.95/86.66 (v95(constB62) | (~v96(constB62))),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23790, 573, 23106, 23090])).
% 135.95/86.66 tff(23792,plain,
% 135.95/86.66 (v95(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23791, 23787])).
% 135.95/86.66 tff(23793,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23794,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23795,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB61, constB62)) | (~v95(constB62)) | (~v104(constB62)) | v94(constB62)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23794, 23793])).
% 135.95/86.66 tff(23796,plain,
% 135.95/86.66 ((~v95(constB62)) | (~v104(constB62)) | v94(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23795, 588, 23106])).
% 135.95/86.66 tff(23797,plain,
% 135.95/86.66 ((~v104(constB62)) | v94(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23796, 23792])).
% 135.95/86.66 tff(23798,plain,
% 135.95/86.66 (~v104(constB62)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23797, 23778])).
% 135.95/86.66 tff(23799,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23800,plain,
% 135.95/86.66 (((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62)) <=> ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23801,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))))),
% 135.95/86.66 inference(monotonicity,[status(thm)],[23800])).
% 135.95/86.66 tff(23802,plain,
% 135.95/86.66 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61)))),
% 135.95/86.66 inference(transitivity,[status(thm)],[23801, 23799])).
% 135.95/86.66 tff(23803,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB61, constB62)) | (~v102(constB61)) | v104(constB62))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23804,plain,
% 135.95/86.66 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB61, constB62)) | v104(constB62) | (~v102(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23803, 23802])).
% 135.95/86.66 tff(23805,plain,
% 135.95/86.66 (v104(constB62) | (~v102(constB61))),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23804, 604, 23106])).
% 135.95/86.66 tff(23806,plain,
% 135.95/86.66 (~v102(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23805, 23798])).
% 135.95/86.66 tff(23807,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB61) | (~v106(constB61)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB61) | (~v106(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23808,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB61) | (~v106(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23809,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB61) | (~v106(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23808, 23807])).
% 135.95/86.66 tff(23810,plain,
% 135.95/86.66 (~v106(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23809, 619, 23806])).
% 135.95/86.66 tff(23811,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | (~v107(constB61)) | v106(constB61))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23812,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB61) | (~v107(constB61)) | v106(constB61))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23813,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB61) | (~v107(constB61)) | v106(constB61)),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23812, 23811])).
% 135.95/86.66 tff(23814,plain,
% 135.95/86.66 ((~v107(constB61)) | v106(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23813, 644, 23525])).
% 135.95/86.66 tff(23815,plain,
% 135.95/86.66 (~v107(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23814, 23810])).
% 135.95/86.66 tff(23816,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB61) | (~v108(constB61)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB61) | (~v108(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23817,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB61) | (~v108(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23818,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB61) | (~v108(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23817, 23816])).
% 135.95/86.66 tff(23819,plain,
% 135.95/86.66 (~v108(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23818, 658, 23815])).
% 135.95/86.66 tff(23820,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB61) | (~v109(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB61) | (~v109(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23821,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB61) | (~v109(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23822,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB61) | (~v109(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23821, 23820])).
% 135.95/86.66 tff(23823,plain,
% 135.95/86.66 (~v109(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23822, 669, 23819])).
% 135.95/86.66 tff(23824,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB61) | (~v172(constB61)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB61) | (~v172(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23825,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB61) | (~v172(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23826,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB61) | (~v172(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23825, 23824])).
% 135.95/86.66 tff(23827,plain,
% 135.95/86.66 (~v172(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23826, 1033, 23823])).
% 135.95/86.66 tff(23828,plain,
% 135.95/86.66 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB61) | (~v118(constB61)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB61) | (~v118(constB61)))),
% 135.95/86.66 inference(rewrite,[status(thm)],[])).
% 135.95/86.66 tff(23829,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB61) | (~v118(constB61)))),
% 135.95/86.66 inference(quant_inst,[status(thm)],[])).
% 135.95/86.66 tff(23830,plain,
% 135.95/86.66 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB61) | (~v118(constB61))),
% 135.95/86.66 inference(modus_ponens,[status(thm)],[23829, 23828])).
% 135.95/86.66 tff(23831,plain,
% 135.95/86.66 (~v118(constB61)),
% 135.95/86.66 inference(unit_resolution,[status(thm)],[23830, 1004, 23819])).
% 135.95/86.66 tff(23832,assumption,(~v84(constB62, bitIndex1)), introduced(assumption)).
% 135.95/86.66 tff(23833,assumption,(v84(constB61, bitIndex1)), introduced(assumption)).
% 135.95/86.66 tff(23834,plain,
% 135.95/86.66 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | (~v84(constB61, bitIndex1)) | v84(constB62, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | (~v84(constB61, bitIndex1)) | v84(constB62, bitIndex1))),
% 135.95/86.67 inference(rewrite,[status(thm)],[])).
% 135.95/86.67 tff(23835,plain,
% 135.95/86.67 (((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | v84(constB62, bitIndex1) | (~v84(constB61, bitIndex1))) <=> ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | (~v84(constB61, bitIndex1)) | v84(constB62, bitIndex1))),
% 135.95/86.67 inference(rewrite,[status(thm)],[])).
% 135.95/86.67 tff(23836,plain,
% 135.95/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | v84(constB62, bitIndex1) | (~v84(constB61, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | (~v84(constB61, bitIndex1)) | v84(constB62, bitIndex1)))),
% 135.95/86.67 inference(monotonicity,[status(thm)],[23835])).
% 135.95/86.67 tff(23837,plain,
% 135.95/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | v84(constB62, bitIndex1) | (~v84(constB61, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | (~v84(constB61, bitIndex1)) | v84(constB62, bitIndex1))),
% 135.95/86.67 inference(transitivity,[status(thm)],[23836, 23834])).
% 135.95/86.67 tff(23838,plain,
% 135.95/86.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | v84(constB62, bitIndex1) | (~v84(constB61, bitIndex1)))),
% 135.95/86.67 inference(quant_inst,[status(thm)],[])).
% 135.95/86.67 tff(23839,plain,
% 135.95/86.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex1)) | (~v84(constB61, bitIndex1)) | v84(constB62, bitIndex1)),
% 135.95/86.67 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 135.95/86.67 tff(23840,plain,
% 135.95/86.67 ($false),
% 135.95/86.67 inference(unit_resolution,[status(thm)],[23839, 777, 823, 23106, 23778, 23833, 23832])).
% 135.95/86.67 tff(23841,plain,(v84(constB62, bitIndex1) | v94(constB62) | (~v84(constB61, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 135.95/86.67 tff(23842,plain,
% 135.95/86.67 (~v84(constB61, bitIndex1)),
% 135.95/86.67 inference(unit_resolution,[status(thm)],[23841, 23778, 23832])).
% 135.95/86.67 tff(23843,plain,
% 135.95/86.67 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB61) | (~v110(constB61)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB61) | (~v110(constB61)))),
% 135.95/86.67 inference(rewrite,[status(thm)],[])).
% 135.95/86.67 tff(23844,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB61) | (~v110(constB61)))),
% 135.95/86.67 inference(quant_inst,[status(thm)],[])).
% 135.95/86.67 tff(23845,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB61) | (~v110(constB61))),
% 135.95/86.67 inference(modus_ponens,[status(thm)],[23844, 23843])).
% 135.95/86.67 tff(23846,plain,
% 135.95/86.67 (~v110(constB61)),
% 135.95/86.67 inference(unit_resolution,[status(thm)],[23845, 680, 23823])).
% 135.95/86.67 tff(23847,plain,
% 135.95/86.67 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB61) | (~v111(constB61)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB61) | (~v111(constB61)))),
% 135.95/86.67 inference(rewrite,[status(thm)],[])).
% 135.95/86.67 tff(23848,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB61) | (~v111(constB61)))),
% 135.95/86.67 inference(quant_inst,[status(thm)],[])).
% 135.95/86.67 tff(23849,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB61) | (~v111(constB61))),
% 135.95/86.67 inference(modus_ponens,[status(thm)],[23848, 23847])).
% 135.95/86.67 tff(23850,plain,
% 135.95/86.67 (~v111(constB61)),
% 135.95/86.67 inference(unit_resolution,[status(thm)],[23849, 691, 23846])).
% 135.95/86.67 tff(23851,plain,
% 135.95/86.67 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB61) | (~v112(constB61)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB61) | (~v112(constB61)))),
% 135.95/86.67 inference(rewrite,[status(thm)],[])).
% 135.95/86.67 tff(23852,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB61) | (~v112(constB61)))),
% 135.95/86.67 inference(quant_inst,[status(thm)],[])).
% 135.95/86.67 tff(23853,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB61) | (~v112(constB61))),
% 135.95/86.67 inference(modus_ponens,[status(thm)],[23852, 23851])).
% 135.95/86.67 tff(23854,plain,
% 135.95/86.67 (~v112(constB61)),
% 135.95/86.67 inference(unit_resolution,[status(thm)],[23853, 702, 23850])).
% 135.95/86.67 tff(23855,plain,
% 135.95/86.67 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB61) | (~v145(constB61)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB61) | (~v145(constB61)))),
% 135.95/86.67 inference(rewrite,[status(thm)],[])).
% 135.95/86.67 tff(23856,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB61) | (~v145(constB61)))),
% 135.95/86.67 inference(quant_inst,[status(thm)],[])).
% 135.95/86.67 tff(23857,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB61) | (~v145(constB61))),
% 135.95/86.67 inference(modus_ponens,[status(thm)],[23856, 23855])).
% 135.95/86.67 tff(23858,plain,
% 135.95/86.67 (~v145(constB61)),
% 135.95/86.67 inference(unit_resolution,[status(thm)],[23857, 713, 23854])).
% 135.95/86.67 tff(23859,plain,
% 135.95/86.67 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB61) | (~v113(constB61)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB61) | (~v113(constB61)))),
% 135.95/86.67 inference(rewrite,[status(thm)],[])).
% 135.95/86.67 tff(23860,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB61) | (~v113(constB61)))),
% 135.95/86.67 inference(quant_inst,[status(thm)],[])).
% 135.95/86.67 tff(23861,plain,
% 135.95/86.67 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB61) | (~v113(constB61))),
% 135.95/86.67 inference(modus_ponens,[status(thm)],[23860, 23859])).
% 135.95/86.67 tff(23862,plain,
% 135.95/86.67 (~v113(constB61)),
% 135.95/86.67 inference(unit_resolution,[status(thm)],[23861, 969, 23854])).
% 135.95/86.67 tff(23863,assumption,(~v113(constB61)), introduced(assumption)).
% 135.95/86.67 tff(23864,plain,
% 135.95/86.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB61) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB61) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))),
% 135.95/86.67 inference(rewrite,[status(thm)],[])).
% 135.95/86.67 tff(23865,plain,
% 135.95/86.67 (((~v84(constB61, bitIndex0)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | v145(constB61)) <=> (v145(constB61) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23866,plain,
% 136.03/86.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB61, bitIndex0)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | v145(constB61))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB61) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0))))),
% 136.03/86.67 inference(monotonicity,[status(thm)],[23865])).
% 136.03/86.67 tff(23867,plain,
% 136.03/86.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB61, bitIndex0)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | v145(constB61))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB61) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))),
% 136.03/86.67 inference(transitivity,[status(thm)],[23866, 23864])).
% 136.03/86.67 tff(23868,plain,
% 136.03/86.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB61, bitIndex0)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | v145(constB61))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23869,plain,
% 136.03/86.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB61) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0))),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23868, 23867])).
% 136.03/86.67 tff(23870,plain,
% 136.03/86.67 (v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0))),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23869, 865, 23679])).
% 136.03/86.67 tff(23871,plain,
% 136.03/86.67 (~v84(constB61, bitIndex0)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23870, 23688, 23646])).
% 136.03/86.67 tff(23872,plain,
% 136.03/86.67 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB61) | v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB61) | v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23873,plain,
% 136.03/86.67 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB61) | v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23874,plain,
% 136.03/86.67 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB61) | v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2)),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23873, 23872])).
% 136.03/86.67 tff(23875,plain,
% 136.03/86.67 (v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23874, 983, 23863])).
% 136.03/86.67 tff(23876,plain,
% 136.03/86.67 ($false),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23875, 23871, 23688, 23646])).
% 136.03/86.67 tff(23877,plain,(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | v113(constB61) | v145(constB61)), inference(lemma,lemma(discharge,[]))).
% 136.03/86.67 tff(23878,plain,
% 136.03/86.67 (v84(constB61, bitIndex2)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23877, 23646, 23863, 23679])).
% 136.03/86.67 tff(23879,plain,
% 136.03/86.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61) | (~v84(constB61, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61) | (~v84(constB61, bitIndex0)))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23880,plain,
% 136.03/86.67 (((~v84(constB61, bitIndex0)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61)) <=> (v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61) | (~v84(constB61, bitIndex0)))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23881,plain,
% 136.03/86.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB61, bitIndex0)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61) | (~v84(constB61, bitIndex0))))),
% 136.03/86.67 inference(monotonicity,[status(thm)],[23880])).
% 136.03/86.67 tff(23882,plain,
% 136.03/86.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB61, bitIndex0)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61) | (~v84(constB61, bitIndex0)))),
% 136.03/86.67 inference(transitivity,[status(thm)],[23881, 23879])).
% 136.03/86.67 tff(23883,plain,
% 136.03/86.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB61, bitIndex0)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23884,plain,
% 136.03/86.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v118(constB61) | (~v84(constB61, bitIndex0))),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23883, 23882])).
% 136.03/86.67 tff(23885,plain,
% 136.03/86.67 (v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex0))),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23884, 1018, 23726])).
% 136.03/86.67 tff(23886,plain,
% 136.03/86.67 (~v84(constB61, bitIndex0)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23885, 23878, 23646])).
% 136.03/86.67 tff(23887,plain,
% 136.03/86.67 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v172(constB61))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v172(constB61))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23888,plain,
% 136.03/86.67 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v172(constB61))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23889,plain,
% 136.03/86.67 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)) | v172(constB61)),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23888, 23887])).
% 136.03/86.67 tff(23890,plain,
% 136.03/86.67 (v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2))),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23889, 1047, 23681])).
% 136.03/86.67 tff(23891,plain,
% 136.03/86.67 ($false),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23890, 23886, 23878, 23646])).
% 136.03/86.67 tff(23892,plain,(v84(constB61, bitIndex1) | v172(constB61) | v118(constB61) | v113(constB61) | v145(constB61)), inference(lemma,lemma(discharge,[]))).
% 136.03/86.67 tff(23893,plain,
% 136.03/86.67 ($false),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23892, 23862, 23858, 23842, 23831, 23827])).
% 136.03/86.67 tff(23894,plain,(v94(constB62) | v84(constB62, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.03/86.67 tff(23895,plain,
% 136.03/86.67 (v84(constB62, bitIndex1)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23894, 23777])).
% 136.03/86.67 tff(23896,assumption,(~v84(constB63, bitIndex1)), introduced(assumption)).
% 136.03/86.67 tff(23897,assumption,(v84(constB62, bitIndex1)), introduced(assumption)).
% 136.03/86.67 tff(23898,plain,
% 136.03/86.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23899,plain,
% 136.03/86.67 (((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63)) <=> (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23900,plain,
% 136.03/86.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))))),
% 136.03/86.67 inference(monotonicity,[status(thm)],[23899])).
% 136.03/86.67 tff(23901,plain,
% 136.03/86.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63)))),
% 136.03/86.67 inference(transitivity,[status(thm)],[23900, 23898])).
% 136.03/86.67 tff(23902,plain,
% 136.03/86.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB62, constB63)) | (~v95(constB63)) | v1(constB63))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23903,plain,
% 136.03/86.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB63) | (~nextState(constB62, constB63)) | (~v95(constB63))),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23902, 23901])).
% 136.03/86.67 tff(23904,plain,
% 136.03/86.67 (~v95(constB63)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23903, 742, 23161, 23354])).
% 136.03/86.67 tff(23905,plain,
% 136.03/86.67 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23906,plain,
% 136.03/86.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63)))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23907,plain,
% 136.03/86.67 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB62, constB63)) | v95(constB63) | (~v94(constB63))),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 136.03/86.67 tff(23908,plain,
% 136.03/86.67 (v95(constB63) | (~v94(constB63))),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23907, 759, 23161])).
% 136.03/86.67 tff(23909,plain,
% 136.03/86.67 (~v94(constB63)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23908, 23904])).
% 136.03/86.67 tff(23910,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | (~v84(constB62, bitIndex1)) | v84(constB63, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | (~v84(constB62, bitIndex1)) | v84(constB63, bitIndex1))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23911,plain,
% 136.03/86.67 (((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB62, bitIndex1))) <=> ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | (~v84(constB62, bitIndex1)) | v84(constB63, bitIndex1))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23912,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB62, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | (~v84(constB62, bitIndex1)) | v84(constB63, bitIndex1)))),
% 136.03/86.67 inference(monotonicity,[status(thm)],[23911])).
% 136.03/86.67 tff(23913,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB62, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | (~v84(constB62, bitIndex1)) | v84(constB63, bitIndex1))),
% 136.03/86.67 inference(transitivity,[status(thm)],[23912, 23910])).
% 136.03/86.67 tff(23914,plain,
% 136.03/86.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB62, bitIndex1)))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23915,plain,
% 136.03/86.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex1)) | (~v84(constB62, bitIndex1)) | v84(constB63, bitIndex1)),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23914, 23913])).
% 136.03/86.67 tff(23916,plain,
% 136.03/86.67 ($false),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23915, 777, 823, 23161, 23909, 23897, 23896])).
% 136.03/86.67 tff(23917,plain,(v84(constB63, bitIndex1) | (~v84(constB62, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.03/86.67 tff(23918,plain,
% 136.03/86.67 (v84(constB63, bitIndex1)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23917, 23895])).
% 136.03/86.67 tff(23919,assumption,(v118(constB63)), introduced(assumption)).
% 136.03/86.67 tff(23920,assumption,(v84(constB63, bitIndex1)), introduced(assumption)).
% 136.03/86.67 tff(23921,plain,
% 136.03/86.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB63, bitIndex1)) | (~v118(constB63)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB63, bitIndex1)) | (~v118(constB63)))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23922,plain,
% 136.03/86.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB63, bitIndex1)) | (~v118(constB63)))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23923,plain,
% 136.03/86.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB63, bitIndex1)) | (~v118(constB63))),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23922, 23921])).
% 136.03/86.67 tff(23924,plain,
% 136.03/86.67 ($false),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23923, 2842, 23920, 23919])).
% 136.03/86.67 tff(23925,plain,((~v118(constB63)) | (~v84(constB63, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.03/86.67 tff(23926,plain,
% 136.03/86.67 (~v118(constB63)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23925, 23918])).
% 136.03/86.67 tff(23927,plain,
% 136.03/86.67 (~v118(constB61)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23749, 2842, 23649])).
% 136.03/86.67 tff(23928,assumption,(~v84(constB62, bitIndex0)), introduced(assumption)).
% 136.03/86.67 tff(23929,assumption,(v84(constB61, bitIndex0)), introduced(assumption)).
% 136.03/86.67 tff(23930,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB62, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB62, bitIndex0))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23931,plain,
% 136.03/86.67 (((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | v84(constB62, bitIndex0) | (~v84(constB61, bitIndex0))) <=> ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB62, bitIndex0))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23932,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | v84(constB62, bitIndex0) | (~v84(constB61, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB62, bitIndex0)))),
% 136.03/86.67 inference(monotonicity,[status(thm)],[23931])).
% 136.03/86.67 tff(23933,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | v84(constB62, bitIndex0) | (~v84(constB61, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB62, bitIndex0))),
% 136.03/86.67 inference(transitivity,[status(thm)],[23932, 23930])).
% 136.03/86.67 tff(23934,plain,
% 136.03/86.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | v84(constB62, bitIndex0) | (~v84(constB61, bitIndex0)))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23935,plain,
% 136.03/86.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex0)) | (~v84(constB61, bitIndex0)) | v84(constB62, bitIndex0)),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23934, 23933])).
% 136.03/86.67 tff(23936,plain,
% 136.03/86.67 ($false),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23935, 777, 795, 23106, 23778, 23929, 23928])).
% 136.03/86.67 tff(23937,plain,(v84(constB62, bitIndex0) | v94(constB62) | (~v84(constB61, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.03/86.67 tff(23938,plain,
% 136.03/86.67 (v94(constB62)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23937, 23674, 23928])).
% 136.03/86.67 tff(23939,plain,
% 136.03/86.67 (v104(constB62)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23776, 23938])).
% 136.03/86.67 tff(23940,plain,
% 136.03/86.67 (v102(constB61)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23771, 23939])).
% 136.03/86.67 tff(23941,plain,
% 136.03/86.67 (v106(constB61)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23763, 23940])).
% 136.03/86.67 tff(23942,plain,
% 136.03/86.67 (v107(constB61)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23755, 3161, 23941])).
% 136.03/86.67 tff(23943,plain,
% 136.03/86.67 (v115(constB61)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23745, 23653, 22917, 23942, 23927, 23541])).
% 136.03/86.67 tff(23944,plain,
% 136.03/86.67 ($false),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23677, 3011, 23674, 23943])).
% 136.03/86.67 tff(23945,plain,(v94(constB60) | v84(constB62, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.03/86.67 tff(23946,plain,
% 136.03/86.67 (v84(constB62, bitIndex0)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23945, 22917])).
% 136.03/86.67 tff(23947,assumption,(~v84(constB63, bitIndex0)), introduced(assumption)).
% 136.03/86.67 tff(23948,assumption,(v84(constB62, bitIndex0)), introduced(assumption)).
% 136.03/86.67 tff(23949,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | (~v84(constB62, bitIndex0)) | v84(constB63, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | (~v84(constB62, bitIndex0)) | v84(constB63, bitIndex0))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23950,plain,
% 136.03/86.67 (((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB62, bitIndex0))) <=> ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | (~v84(constB62, bitIndex0)) | v84(constB63, bitIndex0))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23951,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB62, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | (~v84(constB62, bitIndex0)) | v84(constB63, bitIndex0)))),
% 136.03/86.67 inference(monotonicity,[status(thm)],[23950])).
% 136.03/86.67 tff(23952,plain,
% 136.03/86.67 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB62, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | (~v84(constB62, bitIndex0)) | v84(constB63, bitIndex0))),
% 136.03/86.67 inference(transitivity,[status(thm)],[23951, 23949])).
% 136.03/86.67 tff(23953,plain,
% 136.03/86.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB62, bitIndex0)))),
% 136.03/86.67 inference(quant_inst,[status(thm)],[])).
% 136.03/86.67 tff(23954,plain,
% 136.03/86.67 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex0)) | (~v84(constB62, bitIndex0)) | v84(constB63, bitIndex0)),
% 136.03/86.67 inference(modus_ponens,[status(thm)],[23953, 23952])).
% 136.03/86.67 tff(23955,plain,
% 136.03/86.67 ($false),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23954, 777, 795, 23161, 23909, 23948, 23947])).
% 136.03/86.67 tff(23956,plain,(v84(constB63, bitIndex0) | (~v84(constB62, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.03/86.67 tff(23957,plain,
% 136.03/86.67 (v84(constB63, bitIndex0)),
% 136.03/86.67 inference(unit_resolution,[status(thm)],[23956, 23946])).
% 136.03/86.67 tff(23958,assumption,(v84(constB63, bitIndex0)), introduced(assumption)).
% 136.03/86.67 tff(23959,assumption,(v119(constB63)), introduced(assumption)).
% 136.03/86.67 tff(23960,plain,
% 136.03/86.67 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB63, bitIndex0)) | (~v119(constB63)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB63, bitIndex0)) | (~v119(constB63)))),
% 136.03/86.67 inference(rewrite,[status(thm)],[])).
% 136.03/86.67 tff(23961,plain,
% 136.03/86.67 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB63, bitIndex0)) | (~v119(constB63)))),
% 136.03/86.68 inference(quant_inst,[status(thm)],[])).
% 136.03/86.68 tff(23962,plain,
% 136.03/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB63, bitIndex0)) | (~v119(constB63))),
% 136.03/86.68 inference(modus_ponens,[status(thm)],[23961, 23960])).
% 136.03/86.68 tff(23963,plain,
% 136.03/86.68 ($false),
% 136.03/86.68 inference(unit_resolution,[status(thm)],[23962, 3173, 23959, 23958])).
% 136.03/86.68 tff(23964,plain,((~v119(constB63)) | (~v84(constB63, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.03/86.68 tff(23965,plain,
% 136.03/86.68 (~v119(constB63)),
% 136.03/86.68 inference(unit_resolution,[status(thm)],[23964, 23957])).
% 136.03/86.68 tff(23966,assumption,(~v84(constB62, bitIndex2)), introduced(assumption)).
% 136.03/86.68 tff(23967,assumption,(v84(constB61, bitIndex2)), introduced(assumption)).
% 136.03/86.68 tff(23968,plain,
% 136.03/86.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | (~v84(constB61, bitIndex2)) | v84(constB62, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | (~v84(constB61, bitIndex2)) | v84(constB62, bitIndex2))),
% 136.03/86.68 inference(rewrite,[status(thm)],[])).
% 136.03/86.68 tff(23969,plain,
% 136.03/86.68 (((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v84(constB61, bitIndex2))) <=> ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | (~v84(constB61, bitIndex2)) | v84(constB62, bitIndex2))),
% 136.03/86.68 inference(rewrite,[status(thm)],[])).
% 136.03/86.68 tff(23970,plain,
% 136.03/86.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v84(constB61, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | (~v84(constB61, bitIndex2)) | v84(constB62, bitIndex2)))),
% 136.03/86.68 inference(monotonicity,[status(thm)],[23969])).
% 136.03/86.68 tff(23971,plain,
% 136.03/86.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v84(constB61, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | (~v84(constB61, bitIndex2)) | v84(constB62, bitIndex2))),
% 136.03/86.68 inference(transitivity,[status(thm)],[23970, 23968])).
% 136.03/86.68 tff(23972,plain,
% 136.03/86.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v84(constB61, bitIndex2)))),
% 136.03/86.68 inference(quant_inst,[status(thm)],[])).
% 136.03/86.68 tff(23973,plain,
% 136.03/86.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB61, constB62)) | v94(constB62) | (~less_3(bitIndex2)) | (~v84(constB61, bitIndex2)) | v84(constB62, bitIndex2)),
% 136.03/86.68 inference(modus_ponens,[status(thm)],[23972, 23971])).
% 136.03/86.68 tff(23974,plain,
% 136.03/86.68 ($false),
% 136.03/86.68 inference(unit_resolution,[status(thm)],[23973, 777, 767, 23106, 23778, 23967, 23966])).
% 136.03/86.68 tff(23975,plain,(v84(constB62, bitIndex2) | v94(constB62) | (~v84(constB61, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.03/86.68 tff(23976,plain,
% 136.03/86.68 (v94(constB62)),
% 136.03/86.68 inference(unit_resolution,[status(thm)],[23975, 23691, 23966])).
% 136.03/86.68 tff(23977,plain,
% 136.03/86.68 (v104(constB62)),
% 136.03/86.68 inference(unit_resolution,[status(thm)],[23776, 23976])).
% 136.04/86.68 tff(23978,plain,
% 136.04/86.68 (v102(constB61)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23771, 23977])).
% 136.04/86.68 tff(23979,plain,
% 136.04/86.68 (v106(constB61)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23763, 23978])).
% 136.04/86.68 tff(23980,plain,
% 136.04/86.68 (v107(constB61)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23755, 3161, 23979])).
% 136.04/86.68 tff(23981,assumption,(v123(constB62, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(23982,assumption,(v94(constB62)), introduced(assumption)).
% 136.04/86.68 tff(23983,plain,
% 136.04/86.68 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB62)) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB62)) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(23984,plain,
% 136.04/86.68 (((~less_3(bitIndex2)) | (~v94(constB62)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2))) <=> ((~v94(constB62)) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(23985,plain,
% 136.04/86.68 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB62)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB62)) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2))))),
% 136.04/86.68 inference(monotonicity,[status(thm)],[23984])).
% 136.04/86.68 tff(23986,plain,
% 136.04/86.68 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB62)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB62)) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)))),
% 136.04/86.68 inference(transitivity,[status(thm)],[23985, 23983])).
% 136.04/86.68 tff(23987,plain,
% 136.04/86.68 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB62)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(23988,plain,
% 136.04/86.68 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB62)) | (~less_3(bitIndex2)) | v84(constB62, bitIndex2) | (~v123(constB62, bitIndex2))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 136.04/86.68 tff(23989,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23988, 1674, 767, 23982, 23966, 23981])).
% 136.04/86.68 tff(23990,plain,(v84(constB62, bitIndex2) | (~v94(constB62)) | (~v123(constB62, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(23991,plain,
% 136.04/86.68 (~v123(constB62, bitIndex2)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23990, 23976, 23966])).
% 136.04/86.68 tff(23992,assumption,(~v123(constB62, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(23993,assumption,(v121(constB61, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(23994,plain,
% 136.04/86.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB61, constB62)) | (~less_3(bitIndex2)) | v123(constB62, bitIndex2) | (~v121(constB61, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB61, constB62)) | (~less_3(bitIndex2)) | v123(constB62, bitIndex2) | (~v121(constB61, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(23995,plain,
% 136.04/86.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB61, constB62)) | (~less_3(bitIndex2)) | v123(constB62, bitIndex2) | (~v121(constB61, bitIndex2)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(23996,plain,
% 136.04/86.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB61, constB62)) | (~less_3(bitIndex2)) | v123(constB62, bitIndex2) | (~v121(constB61, bitIndex2))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[23995, 23994])).
% 136.04/86.68 tff(23997,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23996, 1708, 767, 23106, 23993, 23992])).
% 136.04/86.68 tff(23998,plain,(v123(constB62, bitIndex2) | (~v121(constB61, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(23999,plain,
% 136.04/86.68 (~v121(constB61, bitIndex2)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23998, 23991])).
% 136.04/86.68 tff(24000,assumption,(~v121(constB61, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24001,assumption,(v124(constB61, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24002,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB61) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB61) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24003,plain,
% 136.04/86.68 ((v26(constB61) | v121(constB61, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2))) <=> (v26(constB61) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24004,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB61) | v121(constB61, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB61) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2)))),
% 136.04/86.68 inference(monotonicity,[status(thm)],[24003])).
% 136.04/86.68 tff(24005,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB61) | v121(constB61, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB61) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2))),
% 136.04/86.68 inference(transitivity,[status(thm)],[24004, 24002])).
% 136.04/86.68 tff(24006,plain,
% 136.04/86.68 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB61) | v121(constB61, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24007,plain,
% 136.04/86.68 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB61) | (~less_3(bitIndex2)) | (~v124(constB61, bitIndex2)) | v121(constB61, bitIndex2)),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24006, 24005])).
% 136.04/86.68 tff(24008,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24007, 1728, 767, 23525, 24001, 24000])).
% 136.04/86.68 tff(24009,plain,(v121(constB61, bitIndex2) | (~v124(constB61, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24010,plain,
% 136.04/86.68 (~v124(constB61, bitIndex2)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24009, 23999])).
% 136.04/86.68 tff(24011,assumption,(~v124(constB61, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24012,assumption,(v172(constB61)), introduced(assumption)).
% 136.04/86.68 tff(24013,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB61)) | v124(constB61, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB61)) | v124(constB61, bitIndex2))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24014,plain,
% 136.04/86.68 (((~v172(constB61)) | (~less_3(bitIndex2)) | v124(constB61, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB61)) | v124(constB61, bitIndex2))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24015,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB61)) | (~less_3(bitIndex2)) | v124(constB61, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB61)) | v124(constB61, bitIndex2)))),
% 136.04/86.68 inference(monotonicity,[status(thm)],[24014])).
% 136.04/86.68 tff(24016,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB61)) | (~less_3(bitIndex2)) | v124(constB61, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB61)) | v124(constB61, bitIndex2))),
% 136.04/86.68 inference(transitivity,[status(thm)],[24015, 24013])).
% 136.04/86.68 tff(24017,plain,
% 136.04/86.68 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB61)) | (~less_3(bitIndex2)) | v124(constB61, bitIndex2) | (~b110(bitIndex2)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24018,plain,
% 136.04/86.68 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB61)) | v124(constB61, bitIndex2)),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24017, 24016])).
% 136.04/86.68 tff(24019,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24018, 2066, 1798, 767, 24012, 24011])).
% 136.04/86.68 tff(24020,plain,(v124(constB61, bitIndex2) | (~v172(constB61))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24021,plain,
% 136.04/86.68 (~v172(constB61)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24020, 24010])).
% 136.04/86.68 tff(24022,plain,
% 136.04/86.68 (v115(constB61)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23751, 23541, 22917, 24021, 23980])).
% 136.04/86.68 tff(24023,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[23677, 3011, 23674, 24022])).
% 136.04/86.68 tff(24024,plain,(v94(constB60) | v84(constB62, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24025,plain,
% 136.04/86.68 (v84(constB62, bitIndex2)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24024, 22917])).
% 136.04/86.68 tff(24026,assumption,(v84(constB62, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24027,assumption,(~v84(constB63, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24028,plain,
% 136.04/86.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | (~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | (~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24029,plain,
% 136.04/86.68 (((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB62, bitIndex2))) <=> ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | (~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24030,plain,
% 136.04/86.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB62, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | (~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2)))),
% 136.04/86.68 inference(monotonicity,[status(thm)],[24029])).
% 136.04/86.68 tff(24031,plain,
% 136.04/86.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB62, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | (~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2))),
% 136.04/86.68 inference(transitivity,[status(thm)],[24030, 24028])).
% 136.04/86.68 tff(24032,plain,
% 136.04/86.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB62, bitIndex2)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24033,plain,
% 136.04/86.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB62, constB63)) | v94(constB63) | (~less_3(bitIndex2)) | (~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2)),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24032, 24031])).
% 136.04/86.68 tff(24034,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24033, 777, 767, 23161, 23909, 24027, 24026])).
% 136.04/86.68 tff(24035,plain,((~v84(constB62, bitIndex2)) | v84(constB63, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24036,plain,
% 136.04/86.68 (v84(constB63, bitIndex2)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24035, 24025])).
% 136.04/86.68 tff(24037,assumption,(v84(constB63, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24038,assumption,(v145(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24039,plain,
% 136.04/86.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB63)) | (~v84(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB63)) | (~v84(constB63, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24040,plain,
% 136.04/86.68 (((~v84(constB63, bitIndex2)) | (~v145(constB63))) <=> ((~v145(constB63)) | (~v84(constB63, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24041,plain,
% 136.04/86.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB63, bitIndex2)) | (~v145(constB63)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB63)) | (~v84(constB63, bitIndex2))))),
% 136.04/86.68 inference(monotonicity,[status(thm)],[24040])).
% 136.04/86.68 tff(24042,plain,
% 136.04/86.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB63, bitIndex2)) | (~v145(constB63)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB63)) | (~v84(constB63, bitIndex2)))),
% 136.04/86.68 inference(transitivity,[status(thm)],[24041, 24039])).
% 136.04/86.68 tff(24043,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB63, bitIndex2)) | (~v145(constB63)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24044,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB63)) | (~v84(constB63, bitIndex2))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24043, 24042])).
% 136.04/86.68 tff(24045,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24044, 725, 24038, 24037])).
% 136.04/86.68 tff(24046,plain,((~v145(constB63)) | (~v84(constB63, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24047,plain,
% 136.04/86.68 (~v145(constB63)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24046, 24036])).
% 136.04/86.68 tff(24048,assumption,(v115(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24049,plain,
% 136.04/86.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB63, bitIndex0)) | (~v115(constB63)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB63, bitIndex0)) | (~v115(constB63)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24050,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB63, bitIndex0)) | (~v115(constB63)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24051,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB63, bitIndex0)) | (~v115(constB63))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24050, 24049])).
% 136.04/86.68 tff(24052,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24051, 3011, 23958, 24048])).
% 136.04/86.68 tff(24053,plain,((~v115(constB63)) | (~v84(constB63, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24054,plain,
% 136.04/86.68 (~v115(constB63)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24053, 23957])).
% 136.04/86.68 tff(24055,assumption,(v116(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24056,plain,
% 136.04/86.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB63, bitIndex2)) | (~v116(constB63)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB63, bitIndex2)) | (~v116(constB63)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24057,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB63, bitIndex2)) | (~v116(constB63)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24058,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB63, bitIndex2)) | (~v116(constB63))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24057, 24056])).
% 136.04/86.68 tff(24059,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24058, 1130, 24037, 24055])).
% 136.04/86.68 tff(24060,plain,((~v116(constB63)) | (~v84(constB63, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24061,plain,
% 136.04/86.68 (~v116(constB63)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24060, 24036])).
% 136.04/86.68 tff(24062,assumption,(v113(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24063,plain,
% 136.04/86.68 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB63)) | (~v84(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB63)) | (~v84(constB63, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24064,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB63)) | (~v84(constB63, bitIndex2)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24065,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB63)) | (~v84(constB63, bitIndex2))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24064, 24063])).
% 136.04/86.68 tff(24066,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24065, 1119, 24037, 24062])).
% 136.04/86.68 tff(24067,plain,((~v113(constB63)) | (~v84(constB63, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24068,plain,
% 136.04/86.68 (~v113(constB63)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24067, 24036])).
% 136.04/86.68 tff(24069,assumption,(v172(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24070,plain,
% 136.04/86.68 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB63, bitIndex1)) | (~v172(constB63)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB63, bitIndex1)) | (~v172(constB63)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24071,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB63, bitIndex1)) | (~v172(constB63)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24072,plain,
% 136.04/86.68 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB63, bitIndex1)) | (~v172(constB63))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 136.04/86.68 tff(24073,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24072, 2289, 23920, 24069])).
% 136.04/86.68 tff(24074,plain,((~v172(constB63)) | (~v84(constB63, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24075,plain,
% 136.04/86.68 (~v172(constB63)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24074, 23918])).
% 136.04/86.68 tff(24076,assumption,(v124(constB63, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24077,assumption,(~v172(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24078,assumption,(~v118(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24079,assumption,(~v115(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24080,assumption,(~v113(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24081,assumption,(~v116(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24082,assumption,(~v145(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24083,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24084,plain,
% 136.04/86.68 ((v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex2)) | (~v124(constB63, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24085,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex2)) | (~v124(constB63, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex2))))),
% 136.04/86.68 inference(monotonicity,[status(thm)],[24084])).
% 136.04/86.68 tff(24086,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex2)) | (~v124(constB63, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex2)))),
% 136.04/86.68 inference(transitivity,[status(thm)],[24085, 24083])).
% 136.04/86.68 tff(24087,plain,
% 136.04/86.68 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex2)) | (~v124(constB63, bitIndex2)) | b001(bitIndex2))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24088,plain,
% 136.04/86.68 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex2))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24087, 24086])).
% 136.04/86.68 tff(24089,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24088, 2427, 2424, 767, 24082, 24081, 24080, 24079, 24078, 24077, 24076])).
% 136.04/86.68 tff(24090,plain,((~v124(constB63, bitIndex2)) | v145(constB63) | v116(constB63) | v113(constB63) | v115(constB63) | v118(constB63) | v172(constB63)), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24091,plain,
% 136.04/86.68 (~v124(constB63, bitIndex2)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24090, 24075, 24061, 24047, 24054, 23926, 24068])).
% 136.04/86.68 tff(24092,assumption,(v121(constB63, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24093,assumption,(~v124(constB63, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24094,plain,
% 136.04/86.68 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24095,plain,
% 136.04/86.68 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24096,plain,
% 136.04/86.68 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~v121(constB63, bitIndex2))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 136.04/86.68 tff(24097,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24096, 1380, 767, 23363, 24093, 24092])).
% 136.04/86.68 tff(24098,plain,((~v121(constB63, bitIndex2)) | v124(constB63, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24099,plain,
% 136.04/86.68 (~v121(constB63, bitIndex2)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24098, 24091])).
% 136.04/86.68 tff(24100,assumption,(v123(constB64, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24101,assumption,(~v121(constB63, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24102,plain,
% 136.04/86.68 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v121(constB63, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v121(constB63, bitIndex2))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24103,plain,
% 136.04/86.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v121(constB63, bitIndex2))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24104,plain,
% 136.04/86.68 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v121(constB63, bitIndex2)),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24103, 24102])).
% 136.04/86.68 tff(24105,plain,
% 136.04/86.68 ($false),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24104, 1362, 767, 23346, 24101, 24100])).
% 136.04/86.68 tff(24106,plain,((~v123(constB64, bitIndex2)) | v121(constB63, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.04/86.68 tff(24107,plain,
% 136.04/86.68 (~v123(constB64, bitIndex2)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24106, 24099])).
% 136.04/86.68 tff(24108,assumption,(~v123(constB64, bitIndex2)), introduced(assumption)).
% 136.04/86.68 tff(24109,assumption,(v94(constB64)), introduced(assumption)).
% 136.04/86.68 tff(24110,assumption,(~v119(constB63)), introduced(assumption)).
% 136.04/86.68 tff(24111,plain,
% 136.04/86.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v94(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v94(constB64)))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24112,plain,
% 136.04/86.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v94(constB64)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24113,plain,
% 136.04/86.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v94(constB64))),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24112, 24111])).
% 136.04/86.68 tff(24114,plain,
% 136.04/86.68 (v104(constB64) | (~v94(constB64))),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24113, 3113, 23346])).
% 136.04/86.68 tff(24115,plain,
% 136.04/86.68 (v104(constB64)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24114, 24109])).
% 136.04/86.68 tff(24116,plain,
% 136.04/86.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB63, constB64)) | (~v104(constB64)) | v102(constB63))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB63, constB64)) | (~v104(constB64)) | v102(constB63))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24117,plain,
% 136.04/86.68 (((~nextState(constB63, constB64)) | v102(constB63) | (~v104(constB64))) <=> ((~nextState(constB63, constB64)) | (~v104(constB64)) | v102(constB63))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24118,plain,
% 136.04/86.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB63, constB64)) | v102(constB63) | (~v104(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB63, constB64)) | (~v104(constB64)) | v102(constB63)))),
% 136.04/86.68 inference(monotonicity,[status(thm)],[24117])).
% 136.04/86.68 tff(24119,plain,
% 136.04/86.68 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB63, constB64)) | v102(constB63) | (~v104(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB63, constB64)) | (~v104(constB64)) | v102(constB63))),
% 136.04/86.68 inference(transitivity,[status(thm)],[24118, 24116])).
% 136.04/86.68 tff(24120,plain,
% 136.04/86.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB63, constB64)) | v102(constB63) | (~v104(constB64)))),
% 136.04/86.68 inference(quant_inst,[status(thm)],[])).
% 136.04/86.68 tff(24121,plain,
% 136.04/86.68 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB63, constB64)) | (~v104(constB64)) | v102(constB63)),
% 136.04/86.68 inference(modus_ponens,[status(thm)],[24120, 24119])).
% 136.04/86.68 tff(24122,plain,
% 136.04/86.68 ((~v104(constB64)) | v102(constB63)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24121, 3128, 23346])).
% 136.04/86.68 tff(24123,plain,
% 136.04/86.68 (v102(constB63)),
% 136.04/86.68 inference(unit_resolution,[status(thm)],[24122, 24115])).
% 136.04/86.68 tff(24124,plain,
% 136.04/86.68 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB63)) | v26(constB63) | v106(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB63)) | v26(constB63) | v106(constB63))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24125,plain,
% 136.04/86.68 ((v26(constB63) | v106(constB63) | (~v102(constB63))) <=> ((~v102(constB63)) | v26(constB63) | v106(constB63))),
% 136.04/86.68 inference(rewrite,[status(thm)],[])).
% 136.04/86.68 tff(24126,plain,
% 136.04/86.68 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB63) | v106(constB63) | (~v102(constB63)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB63)) | v26(constB63) | v106(constB63)))),
% 136.04/86.68 inference(monotonicity,[status(thm)],[24125])).
% 136.04/86.68 tff(24127,plain,
% 136.04/86.68 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB63) | v106(constB63) | (~v102(constB63)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB63)) | v26(constB63) | v106(constB63))),
% 136.04/86.69 inference(transitivity,[status(thm)],[24126, 24124])).
% 136.04/86.69 tff(24128,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB63) | v106(constB63) | (~v102(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24129,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB63)) | v26(constB63) | v106(constB63)),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24128, 24127])).
% 136.04/86.69 tff(24130,plain,
% 136.04/86.69 ((~v102(constB63)) | v106(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24129, 3146, 23363])).
% 136.04/86.69 tff(24131,plain,
% 136.04/86.69 (v106(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24130, 24123])).
% 136.04/86.69 tff(24132,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB63) | (~v106(constB63)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB63) | (~v106(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24133,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB63) | (~v106(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24134,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB63) | (~v106(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24133, 24132])).
% 136.04/86.69 tff(24135,plain,
% 136.04/86.69 (v107(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24134, 3161, 24131])).
% 136.04/86.69 tff(24136,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB63) | v119(constB63) | (~v107(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB63) | v119(constB63) | (~v107(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24137,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB63) | v119(constB63) | (~v107(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24138,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB63) | v119(constB63) | (~v107(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24137, 24136])).
% 136.04/86.69 tff(24139,plain,
% 136.04/86.69 (v108(constB63) | v119(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24138, 3195, 24135])).
% 136.04/86.69 tff(24140,plain,
% 136.04/86.69 (v108(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24139, 24110])).
% 136.04/86.69 tff(24141,assumption,(~v84(constB64, bitIndex2)), introduced(assumption)).
% 136.04/86.69 tff(24142,assumption,(~v121(constB63, bitIndex0)), introduced(assumption)).
% 136.04/86.69 tff(24143,assumption,(~v84(constB64, bitIndex0)), introduced(assumption)).
% 136.04/86.69 tff(24144,assumption,(~v94(constB64)), introduced(assumption)).
% 136.04/86.69 tff(24145,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB63, bitIndex2)) | v84(constB64, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB63, bitIndex2)) | v84(constB64, bitIndex2))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24146,plain,
% 136.04/86.69 (((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB64, bitIndex2) | (~v84(constB63, bitIndex2))) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB63, bitIndex2)) | v84(constB64, bitIndex2))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24147,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB64, bitIndex2) | (~v84(constB63, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB63, bitIndex2)) | v84(constB64, bitIndex2)))),
% 136.04/86.69 inference(monotonicity,[status(thm)],[24146])).
% 136.04/86.69 tff(24148,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB64, bitIndex2) | (~v84(constB63, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB63, bitIndex2)) | v84(constB64, bitIndex2))),
% 136.04/86.69 inference(transitivity,[status(thm)],[24147, 24145])).
% 136.04/86.69 tff(24149,plain,
% 136.04/86.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB64, bitIndex2) | (~v84(constB63, bitIndex2)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24150,plain,
% 136.04/86.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB63, bitIndex2)) | v84(constB64, bitIndex2)),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 136.04/86.69 tff(24151,plain,
% 136.04/86.69 (v94(constB64) | (~v84(constB63, bitIndex2))),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24150, 777, 767, 23346, 24141])).
% 136.04/86.69 tff(24152,plain,
% 136.04/86.69 (~v84(constB63, bitIndex2)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24151, 24144])).
% 136.04/86.69 tff(24153,assumption,(~v84(constB64, bitIndex1)), introduced(assumption)).
% 136.04/86.69 tff(24154,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB63, bitIndex1)) | v84(constB64, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB63, bitIndex1)) | v84(constB64, bitIndex1))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24155,plain,
% 136.04/86.69 (((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB64, bitIndex1) | (~v84(constB63, bitIndex1))) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB63, bitIndex1)) | v84(constB64, bitIndex1))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24156,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB64, bitIndex1) | (~v84(constB63, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB63, bitIndex1)) | v84(constB64, bitIndex1)))),
% 136.04/86.69 inference(monotonicity,[status(thm)],[24155])).
% 136.04/86.69 tff(24157,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB64, bitIndex1) | (~v84(constB63, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB63, bitIndex1)) | v84(constB64, bitIndex1))),
% 136.04/86.69 inference(transitivity,[status(thm)],[24156, 24154])).
% 136.04/86.69 tff(24158,plain,
% 136.04/86.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB64, bitIndex1) | (~v84(constB63, bitIndex1)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24159,plain,
% 136.04/86.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB63, bitIndex1)) | v84(constB64, bitIndex1)),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24158, 24157])).
% 136.04/86.69 tff(24160,plain,
% 136.04/86.69 (v94(constB64) | (~v84(constB63, bitIndex1))),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24159, 777, 823, 23346, 24153])).
% 136.04/86.69 tff(24161,plain,
% 136.04/86.69 (~v84(constB63, bitIndex1)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24160, 24144])).
% 136.04/86.69 tff(24162,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB63, bitIndex0)) | v84(constB64, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB63, bitIndex0)) | v84(constB64, bitIndex0))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24163,plain,
% 136.04/86.69 (((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB64, bitIndex0) | (~v84(constB63, bitIndex0))) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB63, bitIndex0)) | v84(constB64, bitIndex0))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24164,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB64, bitIndex0) | (~v84(constB63, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB63, bitIndex0)) | v84(constB64, bitIndex0)))),
% 136.04/86.69 inference(monotonicity,[status(thm)],[24163])).
% 136.04/86.69 tff(24165,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB64, bitIndex0) | (~v84(constB63, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB63, bitIndex0)) | v84(constB64, bitIndex0))),
% 136.04/86.69 inference(transitivity,[status(thm)],[24164, 24162])).
% 136.04/86.69 tff(24166,plain,
% 136.04/86.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB64, bitIndex0) | (~v84(constB63, bitIndex0)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24167,plain,
% 136.04/86.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB63, bitIndex0)) | v84(constB64, bitIndex0)),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24166, 24165])).
% 136.04/86.69 tff(24168,plain,
% 136.04/86.69 (v94(constB64) | (~v84(constB63, bitIndex0))),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24167, 777, 795, 23346, 24143])).
% 136.04/86.69 tff(24169,plain,
% 136.04/86.69 (~v84(constB63, bitIndex0)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24168, 24144])).
% 136.04/86.69 tff(24170,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB63) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB63) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24171,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB63) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24172,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB63) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2)),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24171, 24170])).
% 136.04/86.69 tff(24173,plain,
% 136.04/86.69 (v113(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24172, 983, 24169, 24161, 24152])).
% 136.04/86.69 tff(24174,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB63) | (~v113(constB63)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB63) | (~v113(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24175,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB63) | (~v113(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24176,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB63) | (~v113(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24175, 24174])).
% 136.04/86.69 tff(24177,plain,
% 136.04/86.69 (v112(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24176, 969, 24173])).
% 136.04/86.69 tff(24178,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB63) | (~v112(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24179,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB63) | (~v112(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24180,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB63) | (~v112(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24179, 24178])).
% 136.04/86.69 tff(24181,plain,
% 136.04/86.69 (v111(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24180, 702, 24177])).
% 136.04/86.69 tff(24182,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB63) | (~v111(constB63)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB63) | (~v111(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24183,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB63) | (~v111(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24184,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB63) | (~v111(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24183, 24182])).
% 136.04/86.69 tff(24185,plain,
% 136.04/86.69 (v110(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24184, 691, 24181])).
% 136.04/86.69 tff(24186,plain,
% 136.04/86.69 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24187,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24188,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB63) | (~nextState(constB63, constB64)) | (~v98(constB64))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24187, 24186])).
% 136.04/86.69 tff(24189,plain,
% 136.04/86.69 (~v98(constB64)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24188, 541, 23346, 23354])).
% 136.04/86.69 tff(24190,plain,
% 136.04/86.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24191,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB63, constB64)) | v96(constB64) | v98(constB64))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24192,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB63, constB64)) | v96(constB64) | v98(constB64)),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24191, 24190])).
% 136.04/86.69 tff(24193,plain,
% 136.04/86.69 (v96(constB64) | v98(constB64)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24192, 555, 23346])).
% 136.04/86.69 tff(24194,plain,
% 136.04/86.69 (v96(constB64)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24193, 24189])).
% 136.04/86.69 tff(24195,plain,
% 136.04/86.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24196,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24197,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB63, constB64)) | v95(constB64) | (~v96(constB64)) | (~v1(constB64))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24196, 24195])).
% 136.04/86.69 tff(24198,plain,
% 136.04/86.69 (v95(constB64) | (~v96(constB64))),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24197, 573, 23346, 23330])).
% 136.04/86.69 tff(24199,plain,
% 136.04/86.69 (v95(constB64)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24198, 24194])).
% 136.04/86.69 tff(24200,plain,
% 136.04/86.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24201,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24202,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB63, constB64)) | (~v95(constB64)) | (~v104(constB64)) | v94(constB64)),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24201, 24200])).
% 136.04/86.69 tff(24203,plain,
% 136.04/86.69 ((~v95(constB64)) | (~v104(constB64)) | v94(constB64)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24202, 588, 23346])).
% 136.04/86.69 tff(24204,plain,
% 136.04/86.69 ((~v104(constB64)) | v94(constB64)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24203, 24199])).
% 136.04/86.69 tff(24205,plain,
% 136.04/86.69 (~v104(constB64)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24204, 24144])).
% 136.04/86.69 tff(24206,plain,
% 136.04/86.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24207,plain,
% 136.04/86.69 (((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64)) <=> ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24208,plain,
% 136.04/86.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))))),
% 136.04/86.69 inference(monotonicity,[status(thm)],[24207])).
% 136.04/86.69 tff(24209,plain,
% 136.04/86.69 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63)))),
% 136.04/86.69 inference(transitivity,[status(thm)],[24208, 24206])).
% 136.04/86.69 tff(24210,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB63, constB64)) | (~v102(constB63)) | v104(constB64))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24211,plain,
% 136.04/86.69 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB63, constB64)) | v104(constB64) | (~v102(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24210, 24209])).
% 136.04/86.69 tff(24212,plain,
% 136.04/86.69 (v104(constB64) | (~v102(constB63))),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24211, 604, 23346])).
% 136.04/86.69 tff(24213,plain,
% 136.04/86.69 (~v102(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24212, 24205])).
% 136.04/86.69 tff(24214,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB63) | (~v106(constB63)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB63) | (~v106(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24215,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB63) | (~v106(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24216,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB63) | (~v106(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24215, 24214])).
% 136.04/86.69 tff(24217,plain,
% 136.04/86.69 (~v106(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24216, 619, 24213])).
% 136.04/86.69 tff(24218,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | v106(constB63) | (~v107(constB63)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | v106(constB63) | (~v107(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24219,plain,
% 136.04/86.69 ((v26(constB63) | (~v107(constB63)) | v106(constB63)) <=> (v26(constB63) | v106(constB63) | (~v107(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24220,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | v106(constB63) | (~v107(constB63))))),
% 136.04/86.69 inference(monotonicity,[status(thm)],[24219])).
% 136.04/86.69 tff(24221,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | v106(constB63) | (~v107(constB63)))),
% 136.04/86.69 inference(transitivity,[status(thm)],[24220, 24218])).
% 136.04/86.69 tff(24222,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB63) | (~v107(constB63)) | v106(constB63))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24223,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB63) | v106(constB63) | (~v107(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24222, 24221])).
% 136.04/86.69 tff(24224,plain,
% 136.04/86.69 (v106(constB63) | (~v107(constB63))),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24223, 644, 23363])).
% 136.04/86.69 tff(24225,plain,
% 136.04/86.69 (~v107(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24224, 24217])).
% 136.04/86.69 tff(24226,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB63) | (~v108(constB63)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB63) | (~v108(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24227,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB63) | (~v108(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24228,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB63) | (~v108(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24227, 24226])).
% 136.04/86.69 tff(24229,plain,
% 136.04/86.69 (~v108(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24228, 658, 24225])).
% 136.04/86.69 tff(24230,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB63) | (~v109(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB63) | (~v109(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24231,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB63) | (~v109(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24232,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB63) | (~v109(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24231, 24230])).
% 136.04/86.69 tff(24233,plain,
% 136.04/86.69 (~v109(constB63)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24232, 669, 24229])).
% 136.04/86.69 tff(24234,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB63) | (~v110(constB63)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB63) | (~v110(constB63)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24235,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB63) | (~v110(constB63)))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24236,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB63) | (~v110(constB63))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24235, 24234])).
% 136.04/86.69 tff(24237,plain,
% 136.04/86.69 ($false),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24236, 680, 24233, 24185])).
% 136.04/86.69 tff(24238,plain,(v94(constB64) | v84(constB64, bitIndex2) | v84(constB64, bitIndex1) | v84(constB64, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.04/86.69 tff(24239,plain,
% 136.04/86.69 (v84(constB64, bitIndex1)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24238, 24144, 24143, 24141])).
% 136.04/86.69 tff(24240,assumption,(v84(constB64, bitIndex1)), introduced(assumption)).
% 136.04/86.69 tff(24241,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB64, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB64, bitIndex1)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24242,plain,
% 136.04/86.69 (((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB64, bitIndex1)) | v84(constB63, bitIndex1)) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB64, bitIndex1)))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24243,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB64, bitIndex1)) | v84(constB63, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB64, bitIndex1))))),
% 136.04/86.69 inference(monotonicity,[status(thm)],[24242])).
% 136.04/86.69 tff(24244,plain,
% 136.04/86.69 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB64, bitIndex1)) | v84(constB63, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB64, bitIndex1)))),
% 136.04/86.69 inference(transitivity,[status(thm)],[24243, 24241])).
% 136.04/86.69 tff(24245,plain,
% 136.04/86.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | (~v84(constB64, bitIndex1)) | v84(constB63, bitIndex1))),
% 136.04/86.69 inference(quant_inst,[status(thm)],[])).
% 136.04/86.69 tff(24246,plain,
% 136.04/86.69 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex1)) | v84(constB63, bitIndex1) | (~v84(constB64, bitIndex1))),
% 136.04/86.69 inference(modus_ponens,[status(thm)],[24245, 24244])).
% 136.04/86.69 tff(24247,plain,
% 136.04/86.69 (v94(constB64) | v84(constB63, bitIndex1)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24246, 805, 823, 23346, 24240])).
% 136.04/86.69 tff(24248,plain,
% 136.04/86.69 (v84(constB63, bitIndex1)),
% 136.04/86.69 inference(unit_resolution,[status(thm)],[24247, 24144])).
% 136.04/86.69 tff(24249,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB63, bitIndex0) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v115(constB63))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v115(constB63))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24250,plain,
% 136.04/86.69 ((v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | v84(constB63, bitIndex2) | v115(constB63)) <=> (v84(constB63, bitIndex0) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v115(constB63))),
% 136.04/86.69 inference(rewrite,[status(thm)],[])).
% 136.04/86.69 tff(24251,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | v84(constB63, bitIndex2) | v115(constB63))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB63, bitIndex0) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v115(constB63)))),
% 136.04/86.69 inference(monotonicity,[status(thm)],[24250])).
% 136.04/86.69 tff(24252,plain,
% 136.04/86.69 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | v84(constB63, bitIndex2) | v115(constB63))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v115(constB63))),
% 136.04/86.69 inference(transitivity,[status(thm)],[24251, 24249])).
% 136.04/86.69 tff(24253,plain,
% 136.04/86.69 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | v84(constB63, bitIndex2) | v115(constB63))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24254,plain,
% 136.04/86.70 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v115(constB63)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24253, 24252])).
% 136.04/86.70 tff(24255,plain,
% 136.04/86.70 (v115(constB63)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24254, 1095, 24152, 24169, 24248])).
% 136.04/86.70 tff(24256,plain,
% 136.04/86.70 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB63) | (~v115(constB63)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB63) | (~v115(constB63)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24257,plain,
% 136.04/86.70 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB63) | (~v115(constB63)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24258,plain,
% 136.04/86.70 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB63) | (~v115(constB63))),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 136.04/86.70 tff(24259,plain,
% 136.04/86.70 (v111(constB63)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24258, 945, 24255])).
% 136.04/86.70 tff(24260,plain,
% 136.04/86.70 (v110(constB63)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24184, 691, 24259])).
% 136.04/86.70 tff(24261,plain,
% 136.04/86.70 ($false),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24236, 680, 24233, 24260])).
% 136.04/86.70 tff(24262,plain,(v94(constB64) | (~v84(constB64, bitIndex1)) | v84(constB64, bitIndex0) | v84(constB64, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.04/86.70 tff(24263,plain,
% 136.04/86.70 ($false),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24262, 24239, 24144, 24143, 24141])).
% 136.04/86.70 tff(24264,plain,(v94(constB64) | v84(constB64, bitIndex0) | v84(constB64, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.04/86.70 tff(24265,plain,
% 136.04/86.70 (v94(constB64)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24264, 24143, 24141])).
% 136.04/86.70 tff(24266,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v84(constB64, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v84(constB64, bitIndex0))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24267,plain,
% 136.04/86.70 (((~less_3(bitIndex0)) | (~v94(constB64)) | v84(constB64, bitIndex0) | (~v123(constB64, bitIndex0))) <=> ((~v94(constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v84(constB64, bitIndex0))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24268,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB64)) | v84(constB64, bitIndex0) | (~v123(constB64, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v84(constB64, bitIndex0)))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24267])).
% 136.04/86.70 tff(24269,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB64)) | v84(constB64, bitIndex0) | (~v123(constB64, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v84(constB64, bitIndex0))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24268, 24266])).
% 136.04/86.70 tff(24270,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB64)) | v84(constB64, bitIndex0) | (~v123(constB64, bitIndex0)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24271,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v84(constB64, bitIndex0)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24270, 24269])).
% 136.04/86.70 tff(24272,plain,
% 136.04/86.70 (~v123(constB64, bitIndex0)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24271, 1674, 795, 24265, 24143])).
% 136.04/86.70 tff(24273,plain,
% 136.04/86.70 ((~v94(constB64)) | (~v123(constB64, bitIndex0))),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24271, 1674, 795, 24143])).
% 136.04/86.70 tff(24274,plain,
% 136.04/86.70 (~v123(constB64, bitIndex0)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24273, 24109])).
% 136.04/86.70 tff(24275,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex0)) | v123(constB64, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex0)) | v123(constB64, bitIndex0) | (~v121(constB63, bitIndex0)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24276,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex0)) | v123(constB64, bitIndex0) | (~v121(constB63, bitIndex0)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24277,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex0)) | v123(constB64, bitIndex0) | (~v121(constB63, bitIndex0))),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24276, 24275])).
% 136.04/86.70 tff(24278,plain,
% 136.04/86.70 (~v121(constB63, bitIndex0)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24277, 1708, 795, 23346, 24274])).
% 136.04/86.70 tff(24279,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex0)) | v121(constB63, bitIndex0) | (~v124(constB63, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex0)) | v121(constB63, bitIndex0) | (~v124(constB63, bitIndex0)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24280,plain,
% 136.04/86.70 ((v26(constB63) | v121(constB63, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0))) <=> (v26(constB63) | (~less_3(bitIndex0)) | v121(constB63, bitIndex0) | (~v124(constB63, bitIndex0)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24281,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex0)) | v121(constB63, bitIndex0) | (~v124(constB63, bitIndex0))))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24280])).
% 136.04/86.70 tff(24282,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex0)) | v121(constB63, bitIndex0) | (~v124(constB63, bitIndex0)))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24281, 24279])).
% 136.04/86.70 tff(24283,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24284,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex0)) | v121(constB63, bitIndex0) | (~v124(constB63, bitIndex0))),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24283, 24282])).
% 136.04/86.70 tff(24285,plain,
% 136.04/86.70 (~v124(constB63, bitIndex0)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24284, 1728, 795, 23363, 24278])).
% 136.04/86.70 tff(24286,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB63)) | v124(constB63, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB63)) | v124(constB63, bitIndex0))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24287,plain,
% 136.04/86.70 (((~v115(constB63)) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB63)) | v124(constB63, bitIndex0))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24288,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB63)) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB63)) | v124(constB63, bitIndex0)))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24287])).
% 136.04/86.70 tff(24289,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB63)) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB63)) | v124(constB63, bitIndex0))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24288, 24286])).
% 136.04/86.70 tff(24290,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB63)) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b011(bitIndex0)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24291,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB63)) | v124(constB63, bitIndex0)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24290, 24289])).
% 136.04/86.70 tff(24292,plain,
% 136.04/86.70 (~v115(constB63)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24291, 1148, 1193, 795, 24285])).
% 136.04/86.70 tff(24293,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v84(constB64, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v84(constB64, bitIndex2))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24294,plain,
% 136.04/86.70 (((~less_3(bitIndex2)) | (~v94(constB64)) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2))) <=> ((~v94(constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v84(constB64, bitIndex2))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24295,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB64)) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v84(constB64, bitIndex2)))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24294])).
% 136.04/86.70 tff(24296,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB64)) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v84(constB64, bitIndex2))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24295, 24293])).
% 136.04/86.70 tff(24297,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB64)) | v84(constB64, bitIndex2) | (~v123(constB64, bitIndex2)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24298,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex2)) | (~v123(constB64, bitIndex2)) | v84(constB64, bitIndex2)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24297, 24296])).
% 136.04/86.70 tff(24299,plain,
% 136.04/86.70 ((~v94(constB64)) | (~v123(constB64, bitIndex2))),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24298, 1674, 767, 24141])).
% 136.04/86.70 tff(24300,plain,
% 136.04/86.70 (~v123(constB64, bitIndex2)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24299, 24109])).
% 136.04/86.70 tff(24301,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex2)) | v123(constB64, bitIndex2) | (~v121(constB63, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex2)) | v123(constB64, bitIndex2) | (~v121(constB63, bitIndex2)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24302,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex2)) | v123(constB64, bitIndex2) | (~v121(constB63, bitIndex2)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24303,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex2)) | v123(constB64, bitIndex2) | (~v121(constB63, bitIndex2))),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24302, 24301])).
% 136.04/86.70 tff(24304,plain,
% 136.04/86.70 (~v121(constB63, bitIndex2)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24303, 1708, 767, 23346, 24300])).
% 136.04/86.70 tff(24305,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex2)) | v121(constB63, bitIndex2) | (~v124(constB63, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex2)) | v121(constB63, bitIndex2) | (~v124(constB63, bitIndex2)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24306,plain,
% 136.04/86.70 ((v26(constB63) | v121(constB63, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB63, bitIndex2))) <=> (v26(constB63) | (~less_3(bitIndex2)) | v121(constB63, bitIndex2) | (~v124(constB63, bitIndex2)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24307,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB63, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex2)) | v121(constB63, bitIndex2) | (~v124(constB63, bitIndex2))))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24306])).
% 136.04/86.70 tff(24308,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB63, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex2)) | v121(constB63, bitIndex2) | (~v124(constB63, bitIndex2)))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24307, 24305])).
% 136.04/86.70 tff(24309,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB63, bitIndex2)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24310,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex2)) | v121(constB63, bitIndex2) | (~v124(constB63, bitIndex2))),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24309, 24308])).
% 136.04/86.70 tff(24311,plain,
% 136.04/86.70 (~v124(constB63, bitIndex2)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24310, 1728, 767, 23363, 24304])).
% 136.04/86.70 tff(24312,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB63)) | v124(constB63, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB63)) | v124(constB63, bitIndex2))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24313,plain,
% 136.04/86.70 (((~v116(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB63)) | v124(constB63, bitIndex2))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24314,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB63)) | v124(constB63, bitIndex2)))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24313])).
% 136.04/86.70 tff(24315,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB63)) | v124(constB63, bitIndex2))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24314, 24312])).
% 136.04/86.70 tff(24316,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b100(bitIndex2)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24317,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB63)) | v124(constB63, bitIndex2)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24316, 24315])).
% 136.04/86.70 tff(24318,plain,
% 136.04/86.70 (~v116(constB63)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24317, 1772, 1769, 767, 24311])).
% 136.04/86.70 tff(24319,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v84(constB64, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v84(constB64, bitIndex1))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24320,plain,
% 136.04/86.70 (((~less_3(bitIndex1)) | (~v94(constB64)) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1))) <=> ((~v94(constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v84(constB64, bitIndex1))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24321,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB64)) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v84(constB64, bitIndex1)))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24320])).
% 136.04/86.70 tff(24322,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB64)) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v84(constB64, bitIndex1))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24321, 24319])).
% 136.04/86.70 tff(24323,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB64)) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24324,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v84(constB64, bitIndex1)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24323, 24322])).
% 136.04/86.70 tff(24325,plain,
% 136.04/86.70 ((~v94(constB64)) | (~v123(constB64, bitIndex1))),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24324, 1674, 823, 24153])).
% 136.04/86.70 tff(24326,plain,
% 136.04/86.70 (~v123(constB64, bitIndex1)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24325, 24109])).
% 136.04/86.70 tff(24327,plain,
% 136.04/86.70 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex1)) | v123(constB64, bitIndex1) | (~v121(constB63, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex1)) | v123(constB64, bitIndex1) | (~v121(constB63, bitIndex1)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24328,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex1)) | v123(constB64, bitIndex1) | (~v121(constB63, bitIndex1)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24329,plain,
% 136.04/86.70 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex1)) | v123(constB64, bitIndex1) | (~v121(constB63, bitIndex1))),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24328, 24327])).
% 136.04/86.70 tff(24330,plain,
% 136.04/86.70 (~v121(constB63, bitIndex1)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24329, 1708, 823, 23346, 24326])).
% 136.04/86.70 tff(24331,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex1)) | v121(constB63, bitIndex1) | (~v124(constB63, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex1)) | v121(constB63, bitIndex1) | (~v124(constB63, bitIndex1)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24332,plain,
% 136.04/86.70 ((v26(constB63) | v121(constB63, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1))) <=> (v26(constB63) | (~less_3(bitIndex1)) | v121(constB63, bitIndex1) | (~v124(constB63, bitIndex1)))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24333,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex1)) | v121(constB63, bitIndex1) | (~v124(constB63, bitIndex1))))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24332])).
% 136.04/86.70 tff(24334,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex1)) | v121(constB63, bitIndex1) | (~v124(constB63, bitIndex1)))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24333, 24331])).
% 136.04/86.70 tff(24335,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB63) | v121(constB63, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24336,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex1)) | v121(constB63, bitIndex1) | (~v124(constB63, bitIndex1))),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24335, 24334])).
% 136.04/86.70 tff(24337,plain,
% 136.04/86.70 (~v124(constB63, bitIndex1)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24336, 1728, 823, 23363, 24330])).
% 136.04/86.70 tff(24338,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB63)) | v124(constB63, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB63)) | v124(constB63, bitIndex1))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24339,plain,
% 136.04/86.70 (((~v172(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB63)) | v124(constB63, bitIndex1))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24340,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB63)) | v124(constB63, bitIndex1)))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24339])).
% 136.04/86.70 tff(24341,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB63)) | v124(constB63, bitIndex1))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24340, 24338])).
% 136.04/86.70 tff(24342,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b110(bitIndex1)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24343,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB63)) | v124(constB63, bitIndex1)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24342, 24341])).
% 136.04/86.70 tff(24344,plain,
% 136.04/86.70 (~v172(constB63)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24343, 1801, 1798, 823, 24337])).
% 136.04/86.70 tff(24345,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB63)) | v124(constB63, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB63)) | v124(constB63, bitIndex0))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24346,plain,
% 136.04/86.70 (((~v118(constB63)) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB63)) | v124(constB63, bitIndex0))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24347,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB63)) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB63)) | v124(constB63, bitIndex0)))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24346])).
% 136.04/86.70 tff(24348,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB63)) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB63)) | v124(constB63, bitIndex0))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24347, 24345])).
% 136.04/86.70 tff(24349,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB63)) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b011(bitIndex0)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24350,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB63)) | v124(constB63, bitIndex0)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24349, 24348])).
% 136.04/86.70 tff(24351,plain,
% 136.04/86.70 (~v118(constB63)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24350, 1148, 1145, 795, 24285])).
% 136.04/86.70 tff(24352,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB63)) | v124(constB63, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB63)) | v124(constB63, bitIndex2))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24353,plain,
% 136.04/86.70 (((~v113(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB63)) | v124(constB63, bitIndex2))),
% 136.04/86.70 inference(rewrite,[status(thm)],[])).
% 136.04/86.70 tff(24354,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB63)) | v124(constB63, bitIndex2)))),
% 136.04/86.70 inference(monotonicity,[status(thm)],[24353])).
% 136.04/86.70 tff(24355,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB63)) | v124(constB63, bitIndex2))),
% 136.04/86.70 inference(transitivity,[status(thm)],[24354, 24352])).
% 136.04/86.70 tff(24356,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b100(bitIndex2)))),
% 136.04/86.70 inference(quant_inst,[status(thm)],[])).
% 136.04/86.70 tff(24357,plain,
% 136.04/86.70 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB63)) | v124(constB63, bitIndex2)),
% 136.04/86.70 inference(modus_ponens,[status(thm)],[24356, 24355])).
% 136.04/86.70 tff(24358,plain,
% 136.04/86.70 (~v113(constB63)),
% 136.04/86.70 inference(unit_resolution,[status(thm)],[24357, 1772, 1838, 767, 24311])).
% 136.04/86.70 tff(24359,plain,
% 136.04/86.70 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB63) | (~b001(bitIndex0)) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | v124(constB63, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB63) | (~b001(bitIndex0)) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | v124(constB63, bitIndex0))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24360,plain,
% 136.07/86.71 ((v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB63) | (~b001(bitIndex0)) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | v124(constB63, bitIndex0))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24361,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB63) | (~b001(bitIndex0)) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | v124(constB63, bitIndex0)))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24360])).
% 136.07/86.71 tff(24362,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB63) | (~b001(bitIndex0)) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | v124(constB63, bitIndex0))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24361, 24359])).
% 136.07/86.71 tff(24363,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~b001(bitIndex0)))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24364,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB63) | (~b001(bitIndex0)) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | v124(constB63, bitIndex0)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24363, 24362])).
% 136.07/86.71 tff(24365,plain,
% 136.07/86.71 (v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24364, 1213, 1210, 795, 24082, 24285])).
% 136.07/86.71 tff(24366,plain,
% 136.07/86.71 ($false),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24365, 24358, 24351, 24344, 24318, 24292])).
% 136.07/86.71 tff(24367,plain,((~v94(constB64)) | v145(constB63) | v84(constB64, bitIndex2) | v84(constB64, bitIndex1) | v84(constB64, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.71 tff(24368,plain,
% 136.07/86.71 (v84(constB64, bitIndex1)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24367, 24143, 24082, 24141, 24265])).
% 136.07/86.71 tff(24369,plain,
% 136.07/86.71 (~v124(constB63, bitIndex0)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24284, 1728, 795, 23363, 24142])).
% 136.07/86.71 tff(24370,plain,
% 136.07/86.71 (~v115(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24291, 1148, 1193, 795, 24369])).
% 136.07/86.71 tff(24371,plain,
% 136.07/86.71 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB64)) | (~v84(constB64, bitIndex1)) | v123(constB64, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB64)) | (~v84(constB64, bitIndex1)) | v123(constB64, bitIndex1))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24372,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB64)) | (~v84(constB64, bitIndex1)) | v123(constB64, bitIndex1))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24373,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB64)) | (~v84(constB64, bitIndex1)) | v123(constB64, bitIndex1)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24372, 24371])).
% 136.07/86.71 tff(24374,plain,
% 136.07/86.71 (v123(constB64, bitIndex1)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24373, 1344, 823, 24109, 24240])).
% 136.07/86.71 tff(24375,plain,
% 136.07/86.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v121(constB63, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v121(constB63, bitIndex1))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24376,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v121(constB63, bitIndex1))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24377,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex1)) | (~v123(constB64, bitIndex1)) | v121(constB63, bitIndex1)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24376, 24375])).
% 136.07/86.71 tff(24378,plain,
% 136.07/86.71 (v121(constB63, bitIndex1)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24377, 1362, 823, 23346, 24374])).
% 136.07/86.71 tff(24379,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex1)) | (~v121(constB63, bitIndex1)) | v124(constB63, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex1)) | (~v121(constB63, bitIndex1)) | v124(constB63, bitIndex1))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24380,plain,
% 136.07/86.71 ((v26(constB63) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~v121(constB63, bitIndex1))) <=> (v26(constB63) | (~less_3(bitIndex1)) | (~v121(constB63, bitIndex1)) | v124(constB63, bitIndex1))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24381,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~v121(constB63, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex1)) | (~v121(constB63, bitIndex1)) | v124(constB63, bitIndex1)))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24380])).
% 136.07/86.71 tff(24382,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~v121(constB63, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex1)) | (~v121(constB63, bitIndex1)) | v124(constB63, bitIndex1))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24381, 24379])).
% 136.07/86.71 tff(24383,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~v121(constB63, bitIndex1)))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24384,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex1)) | (~v121(constB63, bitIndex1)) | v124(constB63, bitIndex1)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24383, 24382])).
% 136.07/86.71 tff(24385,plain,
% 136.07/86.71 (v124(constB63, bitIndex1)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24384, 1380, 823, 23363, 24378])).
% 136.07/86.71 tff(24386,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB63)) | (~v124(constB63, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB63)) | (~v124(constB63, bitIndex1)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24387,plain,
% 136.07/86.71 (((~v116(constB63)) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB63)) | (~v124(constB63, bitIndex1)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24388,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB63)) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB63)) | (~v124(constB63, bitIndex1))))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24387])).
% 136.07/86.71 tff(24389,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB63)) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB63)) | (~v124(constB63, bitIndex1)))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24388, 24386])).
% 136.07/86.71 tff(24390,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB63)) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b100(bitIndex1))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24391,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB63)) | (~v124(constB63, bitIndex1))),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24390, 24389])).
% 136.07/86.71 tff(24392,plain,
% 136.07/86.71 (~v116(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24391, 2167, 2164, 823, 24385])).
% 136.07/86.71 tff(24393,plain,
% 136.07/86.71 (~v118(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24350, 1148, 1145, 795, 24369])).
% 136.07/86.71 tff(24394,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB63)) | (~v124(constB63, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB63)) | (~v124(constB63, bitIndex1)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24395,plain,
% 136.07/86.71 (((~v113(constB63)) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB63)) | (~v124(constB63, bitIndex1)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24396,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB63)) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB63)) | (~v124(constB63, bitIndex1))))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24395])).
% 136.07/86.71 tff(24397,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB63)) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB63)) | (~v124(constB63, bitIndex1)))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24396, 24394])).
% 136.07/86.71 tff(24398,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB63)) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b100(bitIndex1))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24399,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB63)) | (~v124(constB63, bitIndex1))),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 136.07/86.71 tff(24400,plain,
% 136.07/86.71 (~v113(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24399, 2167, 2186, 823, 24385])).
% 136.07/86.71 tff(24401,plain,
% 136.07/86.71 (~v123(constB64, bitIndex2)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24298, 1674, 767, 24109, 24141])).
% 136.07/86.71 tff(24402,plain,
% 136.07/86.71 (~v121(constB63, bitIndex2)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24303, 1708, 767, 23346, 24401])).
% 136.07/86.71 tff(24403,plain,
% 136.07/86.71 (~v124(constB63, bitIndex2)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24310, 1728, 767, 23363, 24402])).
% 136.07/86.71 tff(24404,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB63)) | v124(constB63, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB63)) | v124(constB63, bitIndex2))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24405,plain,
% 136.07/86.71 (((~v172(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB63)) | v124(constB63, bitIndex2))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24406,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB63)) | v124(constB63, bitIndex2)))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24405])).
% 136.07/86.71 tff(24407,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB63)) | v124(constB63, bitIndex2))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24406, 24404])).
% 136.07/86.71 tff(24408,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB63)) | (~less_3(bitIndex2)) | v124(constB63, bitIndex2) | (~b110(bitIndex2)))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24409,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB63)) | v124(constB63, bitIndex2)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24408, 24407])).
% 136.07/86.71 tff(24410,plain,
% 136.07/86.71 (~v172(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24409, 2066, 1798, 767, 24403])).
% 136.07/86.71 tff(24411,plain,
% 136.07/86.71 (v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24364, 1213, 1210, 795, 24082, 24369])).
% 136.07/86.71 tff(24412,plain,
% 136.07/86.71 ($false),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24411, 24410, 24400, 24393, 24392, 24370])).
% 136.07/86.71 tff(24413,plain,(v121(constB63, bitIndex0) | v145(constB63) | (~v94(constB64)) | v84(constB64, bitIndex2) | (~v84(constB64, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.71 tff(24414,plain,
% 136.07/86.71 (v121(constB63, bitIndex0)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24413, 24265, 24082, 24141, 24368])).
% 136.07/86.71 tff(24415,plain,
% 136.07/86.71 ($false),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24277, 1708, 795, 23346, 24414, 24272])).
% 136.07/86.71 tff(24416,plain,(v84(constB64, bitIndex0) | v145(constB63) | v84(constB64, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.71 tff(24417,plain,
% 136.07/86.71 (v84(constB64, bitIndex0)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24416, 24141, 24082])).
% 136.07/86.71 tff(24418,assumption,(v84(constB64, bitIndex0)), introduced(assumption)).
% 136.07/86.71 tff(24419,plain,
% 136.07/86.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB64, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB64, bitIndex0)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24420,plain,
% 136.07/86.71 (((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB64, bitIndex0)) | v84(constB63, bitIndex0)) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB64, bitIndex0)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24421,plain,
% 136.07/86.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB64, bitIndex0)) | v84(constB63, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB64, bitIndex0))))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24420])).
% 136.07/86.71 tff(24422,plain,
% 136.07/86.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB64, bitIndex0)) | v84(constB63, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB64, bitIndex0)))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24421, 24419])).
% 136.07/86.71 tff(24423,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | (~v84(constB64, bitIndex0)) | v84(constB63, bitIndex0))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24424,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex0)) | v84(constB63, bitIndex0) | (~v84(constB64, bitIndex0))),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24423, 24422])).
% 136.07/86.71 tff(24425,plain,
% 136.07/86.71 (v94(constB64) | v84(constB63, bitIndex0)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24424, 805, 795, 23346, 24418])).
% 136.07/86.71 tff(24426,plain,
% 136.07/86.71 (v84(constB63, bitIndex0)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24425, 24144])).
% 136.07/86.71 tff(24427,plain,
% 136.07/86.71 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB63) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB63) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24428,plain,
% 136.07/86.71 (((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63)) <=> (v145(constB63) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24429,plain,
% 136.07/86.71 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB63) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2)))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24428])).
% 136.07/86.71 tff(24430,plain,
% 136.07/86.71 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB63) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24429, 24427])).
% 136.07/86.71 tff(24431,plain,
% 136.07/86.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24432,plain,
% 136.07/86.71 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB63) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24431, 24430])).
% 136.07/86.71 tff(24433,plain,
% 136.07/86.71 (v145(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24432, 865, 24426, 24152, 24161])).
% 136.07/86.71 tff(24434,plain,
% 136.07/86.71 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB63) | (~v145(constB63)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB63) | (~v145(constB63)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24435,plain,
% 136.07/86.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB63) | (~v145(constB63)))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24436,plain,
% 136.07/86.71 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB63) | (~v145(constB63))),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24435, 24434])).
% 136.07/86.71 tff(24437,plain,
% 136.07/86.71 (v112(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24436, 713, 24433])).
% 136.07/86.71 tff(24438,plain,
% 136.07/86.71 (v111(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24180, 702, 24437])).
% 136.07/86.71 tff(24439,plain,
% 136.07/86.71 (v110(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24184, 691, 24438])).
% 136.07/86.71 tff(24440,plain,
% 136.07/86.71 ($false),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24236, 680, 24233, 24439])).
% 136.07/86.71 tff(24441,plain,(v94(constB64) | v84(constB64, bitIndex1) | v84(constB64, bitIndex2) | (~v84(constB64, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.71 tff(24442,plain,
% 136.07/86.71 (v94(constB64)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24441, 24153, 24141, 24417])).
% 136.07/86.71 tff(24443,plain,
% 136.07/86.71 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB64)) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB64)) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24444,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB64)) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24445,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB64)) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24444, 24443])).
% 136.07/86.71 tff(24446,plain,
% 136.07/86.71 (v123(constB64, bitIndex0)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24445, 1344, 795, 24442, 24417])).
% 136.07/86.71 tff(24447,plain,
% 136.07/86.71 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v121(constB63, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v121(constB63, bitIndex0))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24448,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB63, constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v121(constB63, bitIndex0))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24449,plain,
% 136.07/86.71 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB63, constB64)) | (~less_3(bitIndex0)) | (~v123(constB64, bitIndex0)) | v121(constB63, bitIndex0)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24448, 24447])).
% 136.07/86.71 tff(24450,plain,
% 136.07/86.71 (v121(constB63, bitIndex0)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24449, 1362, 795, 23346, 24446])).
% 136.07/86.71 tff(24451,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex0)) | (~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex0)) | (~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24452,plain,
% 136.07/86.71 ((v26(constB63) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0))) <=> (v26(constB63) | (~less_3(bitIndex0)) | (~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24453,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex0)) | (~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0)))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24452])).
% 136.07/86.71 tff(24454,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex0)) | (~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24453, 24451])).
% 136.07/86.71 tff(24455,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB63) | (~less_3(bitIndex0)) | v124(constB63, bitIndex0) | (~v121(constB63, bitIndex0)))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24456,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB63) | (~less_3(bitIndex0)) | (~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0)),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24455, 24454])).
% 136.07/86.71 tff(24457,plain,
% 136.07/86.71 (v124(constB63, bitIndex0)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24456, 1380, 795, 23363, 24450])).
% 136.07/86.71 tff(24458,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB63)) | (~v124(constB63, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24459,plain,
% 136.07/86.71 (((~v172(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.71 inference(rewrite,[status(thm)],[])).
% 136.07/86.71 tff(24460,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB63)) | (~v124(constB63, bitIndex0))))),
% 136.07/86.71 inference(monotonicity,[status(thm)],[24459])).
% 136.07/86.71 tff(24461,plain,
% 136.07/86.71 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.71 inference(transitivity,[status(thm)],[24460, 24458])).
% 136.07/86.71 tff(24462,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b110(bitIndex0))),
% 136.07/86.71 inference(quant_inst,[status(thm)],[])).
% 136.07/86.71 tff(24463,plain,
% 136.07/86.71 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB63)) | (~v124(constB63, bitIndex0))),
% 136.07/86.71 inference(modus_ponens,[status(thm)],[24462, 24461])).
% 136.07/86.71 tff(24464,plain,
% 136.07/86.71 (~v172(constB63)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24463, 1997, 1994, 795, 24457])).
% 136.07/86.71 tff(24465,plain,
% 136.07/86.71 (~v123(constB64, bitIndex1)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24324, 1674, 823, 24442, 24153])).
% 136.07/86.71 tff(24466,plain,
% 136.07/86.71 (~v121(constB63, bitIndex1)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24329, 1708, 823, 23346, 24465])).
% 136.07/86.71 tff(24467,plain,
% 136.07/86.71 (~v124(constB63, bitIndex1)),
% 136.07/86.71 inference(unit_resolution,[status(thm)],[24336, 1728, 823, 23363, 24466])).
% 136.07/86.71 tff(24468,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB63)) | v124(constB63, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB63)) | v124(constB63, bitIndex1))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24469,plain,
% 136.07/86.72 (((~v118(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB63)) | v124(constB63, bitIndex1))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24470,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB63)) | v124(constB63, bitIndex1)))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24469])).
% 136.07/86.72 tff(24471,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB63)) | v124(constB63, bitIndex1))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24470, 24468])).
% 136.07/86.72 tff(24472,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b011(bitIndex1)))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24473,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v118(constB63)) | v124(constB63, bitIndex1)),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24472, 24471])).
% 136.07/86.72 tff(24474,plain,
% 136.07/86.72 (~v118(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24473, 3033, 1145, 823, 24467])).
% 136.07/86.72 tff(24475,plain,
% 136.07/86.72 (v104(constB64)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24114, 24442])).
% 136.07/86.72 tff(24476,plain,
% 136.07/86.72 (v102(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24122, 24475])).
% 136.07/86.72 tff(24477,plain,
% 136.07/86.72 (v106(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24130, 24476])).
% 136.07/86.72 tff(24478,plain,
% 136.07/86.72 (v107(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24134, 3161, 24477])).
% 136.07/86.72 tff(24479,plain,
% 136.07/86.72 (v108(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24138, 3195, 24478, 24110])).
% 136.07/86.72 tff(24480,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB63) | v118(constB63) | (~v108(constB63)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB63) | v118(constB63) | (~v108(constB63)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24481,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB63) | v118(constB63) | (~v108(constB63)))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24482,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB63) | v118(constB63) | (~v108(constB63))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24481, 24480])).
% 136.07/86.72 tff(24483,plain,
% 136.07/86.72 (v109(constB63) | v118(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24482, 2856, 24479])).
% 136.07/86.72 tff(24484,plain,
% 136.07/86.72 (v109(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24483, 24474])).
% 136.07/86.72 tff(24485,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB63)) | v172(constB63) | v110(constB63))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB63)) | v172(constB63) | v110(constB63))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24486,plain,
% 136.07/86.72 ((v110(constB63) | (~v109(constB63)) | v172(constB63)) <=> ((~v109(constB63)) | v172(constB63) | v110(constB63))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24487,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB63) | (~v109(constB63)) | v172(constB63))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB63)) | v172(constB63) | v110(constB63)))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24486])).
% 136.07/86.72 tff(24488,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB63) | (~v109(constB63)) | v172(constB63))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB63)) | v172(constB63) | v110(constB63))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24487, 24485])).
% 136.07/86.72 tff(24489,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB63) | (~v109(constB63)) | v172(constB63))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24490,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB63)) | v172(constB63) | v110(constB63)),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24489, 24488])).
% 136.07/86.72 tff(24491,plain,
% 136.07/86.72 (v110(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24490, 2871, 24484, 24464])).
% 136.07/86.72 tff(24492,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB63)) | (~v124(constB63, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24493,plain,
% 136.07/86.72 (((~v116(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24494,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB63)) | (~v124(constB63, bitIndex0))))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24493])).
% 136.07/86.72 tff(24495,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24494, 24492])).
% 136.07/86.72 tff(24496,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b100(bitIndex0))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24497,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB63)) | (~v124(constB63, bitIndex0))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24496, 24495])).
% 136.07/86.72 tff(24498,plain,
% 136.07/86.72 (~v116(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24497, 2386, 2164, 795, 24457])).
% 136.07/86.72 tff(24499,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB63) | v116(constB63) | (~v110(constB63)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB63) | v116(constB63) | (~v110(constB63)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24500,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB63) | v116(constB63) | (~v110(constB63)))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24501,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB63) | v116(constB63) | (~v110(constB63))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24500, 24499])).
% 136.07/86.72 tff(24502,plain,
% 136.07/86.72 (v111(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24501, 2932, 24498, 24491])).
% 136.07/86.72 tff(24503,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB63)) | v124(constB63, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB63)) | v124(constB63, bitIndex1))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24504,plain,
% 136.07/86.72 (((~v115(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB63)) | v124(constB63, bitIndex1))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24505,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB63)) | v124(constB63, bitIndex1)))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24504])).
% 136.07/86.72 tff(24506,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB63)) | v124(constB63, bitIndex1))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24505, 24503])).
% 136.07/86.72 tff(24507,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB63)) | (~less_3(bitIndex1)) | v124(constB63, bitIndex1) | (~b011(bitIndex1)))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24508,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB63)) | v124(constB63, bitIndex1)),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24507, 24506])).
% 136.07/86.72 tff(24509,plain,
% 136.07/86.72 (~v115(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24508, 3033, 1193, 823, 24467])).
% 136.07/86.72 tff(24510,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB63)) | (~v124(constB63, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24511,plain,
% 136.07/86.72 (((~v113(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24512,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB63)) | (~v124(constB63, bitIndex0))))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24511])).
% 136.07/86.72 tff(24513,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB63)) | (~v124(constB63, bitIndex0)))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24512, 24510])).
% 136.07/86.72 tff(24514,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB63)) | (~less_3(bitIndex0)) | (~v124(constB63, bitIndex0)) | b100(bitIndex0))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24515,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB63)) | (~v124(constB63, bitIndex0))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24514, 24513])).
% 136.07/86.72 tff(24516,plain,
% 136.07/86.72 (~v113(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24515, 2386, 2186, 795, 24457])).
% 136.07/86.72 tff(24517,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB63) | v113(constB63) | (~v112(constB63)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB63) | v113(constB63) | (~v112(constB63)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24518,plain,
% 136.07/86.72 ((v113(constB63) | (~v112(constB63)) | v145(constB63)) <=> (v145(constB63) | v113(constB63) | (~v112(constB63)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24519,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB63) | (~v112(constB63)) | v145(constB63))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB63) | v113(constB63) | (~v112(constB63))))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24518])).
% 136.07/86.72 tff(24520,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB63) | (~v112(constB63)) | v145(constB63))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB63) | v113(constB63) | (~v112(constB63)))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24519, 24517])).
% 136.07/86.72 tff(24521,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB63) | (~v112(constB63)) | v145(constB63))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24522,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB63) | v113(constB63) | (~v112(constB63))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24521, 24520])).
% 136.07/86.72 tff(24523,plain,
% 136.07/86.72 (v113(constB63) | (~v112(constB63))),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24522, 2894, 24082])).
% 136.07/86.72 tff(24524,plain,
% 136.07/86.72 (~v112(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24523, 24516])).
% 136.07/86.72 tff(24525,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB63) | v115(constB63) | (~v111(constB63)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB63) | v115(constB63) | (~v111(constB63)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24526,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB63) | v115(constB63) | (~v111(constB63)))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24527,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB63) | v115(constB63) | (~v111(constB63))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24526, 24525])).
% 136.07/86.72 tff(24528,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24527, 2911, 24524, 24509, 24502])).
% 136.07/86.72 tff(24529,plain,(v84(constB64, bitIndex1) | v145(constB63) | v119(constB63) | v84(constB64, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24530,plain,
% 136.07/86.72 (v84(constB64, bitIndex1)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24529, 24141, 24110, 24082])).
% 136.07/86.72 tff(24531,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24413, 24530, 24141, 24109, 24082, 24142])).
% 136.07/86.72 tff(24532,plain,(v84(constB64, bitIndex2) | (~v94(constB64)) | v145(constB63) | v121(constB63, bitIndex0) | v119(constB63)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24533,plain,
% 136.07/86.72 (v121(constB63, bitIndex0)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24532, 24110, 24109, 24082, 24141])).
% 136.07/86.72 tff(24534,assumption,(v121(constB63, bitIndex0)), introduced(assumption)).
% 136.07/86.72 tff(24535,plain,
% 136.07/86.72 (v124(constB63, bitIndex0)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24456, 1380, 795, 23363, 24534])).
% 136.07/86.72 tff(24536,assumption,(v124(constB63, bitIndex1)), introduced(assumption)).
% 136.07/86.72 tff(24537,plain,
% 136.07/86.72 (~v113(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24399, 2167, 2186, 823, 24536])).
% 136.07/86.72 tff(24538,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex1)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24539,plain,
% 136.07/86.72 ((v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex1)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24540,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex1))))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24539])).
% 136.07/86.72 tff(24541,plain,
% 136.07/86.72 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex1)))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24540, 24538])).
% 136.07/86.72 tff(24542,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB63) | v145(constB63) | v115(constB63) | v116(constB63) | v172(constB63) | v118(constB63) | (~less_3(bitIndex1)) | (~v124(constB63, bitIndex1)) | b001(bitIndex1))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24543,plain,
% 136.07/86.72 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB63) | v113(constB63) | v118(constB63) | v172(constB63) | v116(constB63) | v115(constB63) | (~v124(constB63, bitIndex1))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24542, 24541])).
% 136.07/86.72 tff(24544,plain,
% 136.07/86.72 (v113(constB63) | v172(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24543, 2601, 2424, 823, 24082, 24081, 24079, 24078, 24536])).
% 136.07/86.72 tff(24545,plain,
% 136.07/86.72 (v172(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24544, 24537])).
% 136.07/86.72 tff(24546,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24463, 1997, 1994, 795, 24545, 24535])).
% 136.07/86.72 tff(24547,plain,((~v124(constB63, bitIndex1)) | v145(constB63) | v116(constB63) | v115(constB63) | v118(constB63) | (~v121(constB63, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24548,plain,
% 136.07/86.72 (~v124(constB63, bitIndex1)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24547, 24534, 24081, 24079, 24078, 24082])).
% 136.07/86.72 tff(24549,plain,
% 136.07/86.72 (~v172(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24343, 1801, 1798, 823, 24548])).
% 136.07/86.72 tff(24550,assumption,(v109(constB63)), introduced(assumption)).
% 136.07/86.72 tff(24551,plain,
% 136.07/86.72 (v172(constB63) | v110(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24490, 2871, 24550])).
% 136.07/86.72 tff(24552,plain,
% 136.07/86.72 (v110(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24551, 24549])).
% 136.07/86.72 tff(24553,plain,
% 136.07/86.72 (v111(constB63) | (~v110(constB63))),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24501, 2932, 24081])).
% 136.07/86.72 tff(24554,plain,
% 136.07/86.72 (v111(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24553, 24552])).
% 136.07/86.72 tff(24555,plain,
% 136.07/86.72 (v112(constB63) | (~v111(constB63))),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24527, 2911, 24079])).
% 136.07/86.72 tff(24556,plain,
% 136.07/86.72 (v112(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24555, 24554])).
% 136.07/86.72 tff(24557,plain,
% 136.07/86.72 (v113(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24523, 24556])).
% 136.07/86.72 tff(24558,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24515, 2386, 2186, 795, 24557, 24535])).
% 136.07/86.72 tff(24559,plain,((~v121(constB63, bitIndex0)) | v145(constB63) | v115(constB63) | v116(constB63) | (~v109(constB63)) | v118(constB63)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24560,plain,
% 136.07/86.72 (~v109(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24559, 24533, 24081, 24079, 24078, 24082])).
% 136.07/86.72 tff(24561,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24482, 2856, 24078, 24560, 24140])).
% 136.07/86.72 tff(24562,plain,(v119(constB63) | v118(constB63) | v116(constB63) | v115(constB63) | v145(constB63) | (~v94(constB64)) | v84(constB64, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24563,plain,
% 136.07/86.72 (v84(constB64, bitIndex2)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24562, 24109, 24110, 24079, 24081, 24082, 24078])).
% 136.07/86.72 tff(24564,assumption,(v84(constB64, bitIndex2)), introduced(assumption)).
% 136.07/86.72 tff(24565,plain,
% 136.07/86.72 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB64)) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB64)) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24566,plain,
% 136.07/86.72 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB64)) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24567,plain,
% 136.07/86.72 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB64)) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2)),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24566, 24565])).
% 136.07/86.72 tff(24568,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24567, 1344, 767, 24109, 24564, 24108])).
% 136.07/86.72 tff(24569,plain,((~v84(constB64, bitIndex2)) | (~v94(constB64)) | v123(constB64, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24570,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24569, 24563, 24109, 24108])).
% 136.07/86.72 tff(24571,plain,((~v94(constB64)) | v123(constB64, bitIndex2) | v119(constB63) | v115(constB63) | v116(constB63) | v145(constB63) | v118(constB63)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24572,plain,
% 136.07/86.72 (~v94(constB64)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24571, 24107, 24061, 24054, 24047, 23965, 23926])).
% 136.07/86.72 tff(24573,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB63) | (~v118(constB63)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB63) | (~v118(constB63)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24574,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB63) | (~v118(constB63)))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24575,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB63) | (~v118(constB63))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24574, 24573])).
% 136.07/86.72 tff(24576,plain,
% 136.07/86.72 (~v118(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24575, 1004, 24229])).
% 136.07/86.72 tff(24577,plain,
% 136.07/86.72 (~v110(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24236, 680, 24233])).
% 136.07/86.72 tff(24578,plain,
% 136.07/86.72 (~v111(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24184, 691, 24577])).
% 136.07/86.72 tff(24579,plain,
% 136.07/86.72 (~v112(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24180, 702, 24578])).
% 136.07/86.72 tff(24580,plain,
% 136.07/86.72 (~v113(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24176, 969, 24579])).
% 136.07/86.72 tff(24581,plain,
% 136.07/86.72 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB63) | (~v116(constB63)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB63) | (~v116(constB63)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24582,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB63) | (~v116(constB63)))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24583,plain,
% 136.07/86.72 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB63) | (~v116(constB63))),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24582, 24581])).
% 136.07/86.72 tff(24584,plain,
% 136.07/86.72 (~v116(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24583, 934, 24577])).
% 136.07/86.72 tff(24585,plain,
% 136.07/86.72 (~v145(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24436, 713, 24579])).
% 136.07/86.72 tff(24586,plain,
% 136.07/86.72 (~v115(constB63)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24258, 945, 24578])).
% 136.07/86.72 tff(24587,plain,
% 136.07/86.72 (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24172, 983, 24080])).
% 136.07/86.72 tff(24588,plain,
% 136.07/86.72 (v84(constB63, bitIndex0)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24587, 23896, 24027])).
% 136.07/86.72 tff(24589,plain,
% 136.07/86.72 ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24432, 865, 24082])).
% 136.07/86.72 tff(24590,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24589, 24588, 23896, 24027])).
% 136.07/86.72 tff(24591,plain,(v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | v145(constB63) | v113(constB63)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24592,plain,
% 136.07/86.72 (v84(constB63, bitIndex1)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24591, 24027, 24082, 24080])).
% 136.07/86.72 tff(24593,plain,
% 136.07/86.72 (v84(constB63, bitIndex0) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1))),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24254, 1095, 24079])).
% 136.07/86.72 tff(24594,plain,
% 136.07/86.72 (v84(constB63, bitIndex0)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24593, 24592, 24027])).
% 136.07/86.72 tff(24595,plain,
% 136.07/86.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v116(constB63))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v116(constB63))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24596,plain,
% 136.07/86.72 (((~v84(constB63, bitIndex0)) | (~v84(constB63, bitIndex1)) | v84(constB63, bitIndex2) | v116(constB63)) <=> ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v116(constB63))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24597,plain,
% 136.07/86.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB63, bitIndex0)) | (~v84(constB63, bitIndex1)) | v84(constB63, bitIndex2) | v116(constB63))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v116(constB63)))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24596])).
% 136.07/86.72 tff(24598,plain,
% 136.07/86.72 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB63, bitIndex0)) | (~v84(constB63, bitIndex1)) | v84(constB63, bitIndex2) | v116(constB63))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v116(constB63))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24597, 24595])).
% 136.07/86.72 tff(24599,plain,
% 136.07/86.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB63, bitIndex0)) | (~v84(constB63, bitIndex1)) | v84(constB63, bitIndex2) | v116(constB63))),
% 136.07/86.72 inference(quant_inst,[status(thm)],[])).
% 136.07/86.72 tff(24600,plain,
% 136.07/86.72 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1)) | v116(constB63)),
% 136.07/86.72 inference(modus_ponens,[status(thm)],[24599, 24598])).
% 136.07/86.72 tff(24601,plain,
% 136.07/86.72 ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex1))),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24600, 1076, 24081])).
% 136.07/86.72 tff(24602,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24601, 24594, 24592, 24027])).
% 136.07/86.72 tff(24603,plain,(v84(constB63, bitIndex2) | v116(constB63) | v115(constB63) | v145(constB63) | v113(constB63)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24604,plain,
% 136.07/86.72 (v84(constB63, bitIndex2)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24603, 24584, 24586, 24585, 24580])).
% 136.07/86.72 tff(24605,plain,
% 136.07/86.72 ($false),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24150, 777, 767, 23346, 24144, 24141, 24037])).
% 136.07/86.72 tff(24606,plain,(v84(constB64, bitIndex2) | v94(constB64) | (~v84(constB63, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.72 tff(24607,plain,
% 136.07/86.72 (v84(constB64, bitIndex2)),
% 136.07/86.72 inference(unit_resolution,[status(thm)],[24606, 24604, 24144])).
% 136.07/86.72 tff(24608,plain,
% 136.07/86.72 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB64, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB64, bitIndex2)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24609,plain,
% 136.07/86.72 (((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB64, bitIndex2)) | v84(constB63, bitIndex2)) <=> ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB64, bitIndex2)))),
% 136.07/86.72 inference(rewrite,[status(thm)],[])).
% 136.07/86.72 tff(24610,plain,
% 136.07/86.72 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB64, bitIndex2)) | v84(constB63, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB64, bitIndex2))))),
% 136.07/86.72 inference(monotonicity,[status(thm)],[24609])).
% 136.07/86.72 tff(24611,plain,
% 136.07/86.72 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB64, bitIndex2)) | v84(constB63, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB64, bitIndex2)))),
% 136.07/86.72 inference(transitivity,[status(thm)],[24610, 24608])).
% 136.07/86.72 tff(24612,plain,
% 136.07/86.72 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | (~v84(constB64, bitIndex2)) | v84(constB63, bitIndex2))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24613,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB63, constB64)) | v94(constB64) | (~less_3(bitIndex2)) | v84(constB63, bitIndex2) | (~v84(constB64, bitIndex2))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24612, 24611])).
% 136.07/86.73 tff(24614,plain,
% 136.07/86.73 (v84(constB63, bitIndex2)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24613, 805, 767, 23346, 24144, 24564])).
% 136.07/86.73 tff(24615,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB63) | (~v119(constB63)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB63) | (~v119(constB63)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24616,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB63) | (~v119(constB63)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24617,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB63) | (~v119(constB63))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24616, 24615])).
% 136.07/86.73 tff(24618,plain,
% 136.07/86.73 (~v119(constB63)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24617, 1927, 24225])).
% 136.07/86.73 tff(24619,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB63, bitIndex0) | v119(constB63) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB63, bitIndex0) | v119(constB63) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24620,plain,
% 136.07/86.73 ((v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2)) | v119(constB63)) <=> (v84(constB63, bitIndex0) | v119(constB63) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24621,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2)) | v119(constB63))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB63, bitIndex0) | v119(constB63) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2))))),
% 136.07/86.73 inference(monotonicity,[status(thm)],[24620])).
% 136.07/86.73 tff(24622,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2)) | v119(constB63))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB63, bitIndex0) | v119(constB63) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2)))),
% 136.07/86.73 inference(transitivity,[status(thm)],[24621, 24619])).
% 136.07/86.73 tff(24623,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2)) | v119(constB63))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24624,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB63, bitIndex0) | v119(constB63) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24623, 24622])).
% 136.07/86.73 tff(24625,plain,
% 136.07/86.73 (v84(constB63, bitIndex0) | (~v84(constB63, bitIndex1)) | (~v84(constB63, bitIndex2))),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24624, 1910, 24618])).
% 136.07/86.73 tff(24626,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24625, 24614, 23920, 23947])).
% 136.07/86.73 tff(24627,plain,((~v84(constB63, bitIndex1)) | v84(constB63, bitIndex0) | v94(constB64) | (~v84(constB64, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24628,plain,
% 136.07/86.73 (~v84(constB63, bitIndex1)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24627, 23947, 24144, 24607])).
% 136.07/86.73 tff(24629,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB63) | (~v172(constB63)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB63) | (~v172(constB63)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24630,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB63) | (~v172(constB63)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24631,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB63) | (~v172(constB63))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24630, 24629])).
% 136.07/86.73 tff(24632,plain,
% 136.07/86.73 (~v172(constB63)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24631, 1033, 24233])).
% 136.07/86.73 tff(24633,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24634,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24635,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v172(constB63)),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24634, 24633])).
% 136.07/86.73 tff(24636,plain,
% 136.07/86.73 (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2))),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24635, 1047, 24632])).
% 136.07/86.73 tff(24637,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24636, 24628, 23947, 24604])).
% 136.07/86.73 tff(24638,plain,(v84(constB63, bitIndex0) | v94(constB64)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24639,plain,
% 136.07/86.73 (v84(constB63, bitIndex0)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24638, 24144])).
% 136.07/86.73 tff(24640,plain,
% 136.07/86.73 (~v115(constB63)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24053, 24639])).
% 136.07/86.73 tff(24641,plain,
% 136.07/86.73 (v84(constB63, bitIndex2)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24603, 24585, 24640, 24584, 24580])).
% 136.07/86.73 tff(24642,plain,
% 136.07/86.73 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v118(constB63))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v118(constB63))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24643,plain,
% 136.07/86.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v118(constB63))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24644,plain,
% 136.07/86.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB63, bitIndex0)) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex2)) | v118(constB63)),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24643, 24642])).
% 136.07/86.73 tff(24645,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24644, 1018, 23958, 24037, 23896, 24078])).
% 136.07/86.73 tff(24646,plain,(v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0)) | (~v84(constB63, bitIndex2)) | v118(constB63)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24647,plain,
% 136.07/86.73 (v84(constB63, bitIndex1)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24646, 24639, 24641, 24576])).
% 136.07/86.73 tff(24648,assumption,(~v84(constB66, bitIndex2)), introduced(assumption)).
% 136.07/86.73 tff(24649,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24159, 777, 823, 23346, 24144, 24153, 23920])).
% 136.07/86.73 tff(24650,plain,(v84(constB64, bitIndex1) | v94(constB64) | (~v84(constB63, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24651,plain,
% 136.07/86.73 (v84(constB64, bitIndex1)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24650, 24144, 23920])).
% 136.07/86.73 tff(24652,assumption,(~v84(constB65, bitIndex1)), introduced(assumption)).
% 136.07/86.73 tff(24653,plain,
% 136.07/86.73 ((~v1(constB65)) <=> (~v1(constB65))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24654,axiom,(~v1(constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_65_1_1')).
% 136.07/86.73 tff(24655,plain,
% 136.07/86.73 (~v1(constB65)),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24654, 24653])).
% 136.07/86.73 tff(24656,plain,
% 136.07/86.73 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24657,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_64_1')).
% 136.07/86.73 tff(24658,plain,
% 136.07/86.73 (nextState(constB64, constB65)),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24657, 24656])).
% 136.07/86.73 tff(24659,plain,
% 136.07/86.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24660,plain,
% 136.07/86.73 (((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65)) <=> (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24661,plain,
% 136.07/86.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))))),
% 136.07/86.73 inference(monotonicity,[status(thm)],[24660])).
% 136.07/86.73 tff(24662,plain,
% 136.07/86.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65)))),
% 136.07/86.73 inference(transitivity,[status(thm)],[24661, 24659])).
% 136.07/86.73 tff(24663,plain,
% 136.07/86.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB64, constB65)) | (~v95(constB65)) | v1(constB65))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24664,plain,
% 136.07/86.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB65) | (~nextState(constB64, constB65)) | (~v95(constB65))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24663, 24662])).
% 136.07/86.73 tff(24665,plain,
% 136.07/86.73 (~v95(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24664, 742, 24658, 24655])).
% 136.07/86.73 tff(24666,plain,
% 136.07/86.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24667,plain,
% 136.07/86.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24668,plain,
% 136.07/86.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB64, constB65)) | v95(constB65) | (~v94(constB65))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 136.07/86.73 tff(24669,plain,
% 136.07/86.73 (v95(constB65) | (~v94(constB65))),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24668, 759, 24658])).
% 136.07/86.73 tff(24670,plain,
% 136.07/86.73 (~v94(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24669, 24665])).
% 136.07/86.73 tff(24671,plain,
% 136.07/86.73 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex1)) | v84(constB65, bitIndex1) | (~v84(constB64, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex1)) | v84(constB65, bitIndex1) | (~v84(constB64, bitIndex1)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24672,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex1)) | v84(constB65, bitIndex1) | (~v84(constB64, bitIndex1)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24673,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex1)) | v84(constB65, bitIndex1) | (~v84(constB64, bitIndex1))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 136.07/86.73 tff(24674,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24673, 777, 823, 24658, 24670, 24240, 24652])).
% 136.07/86.73 tff(24675,plain,(v84(constB65, bitIndex1) | (~v84(constB64, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24676,plain,
% 136.07/86.73 (v84(constB65, bitIndex1)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24675, 24651])).
% 136.07/86.73 tff(24677,plain,
% 136.07/86.73 (v84(constB64, bitIndex2)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24606, 24144, 24037])).
% 136.07/86.73 tff(24678,assumption,(~v84(constB65, bitIndex2)), introduced(assumption)).
% 136.07/86.73 tff(24679,plain,
% 136.07/86.73 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex2)) | v84(constB65, bitIndex2) | (~v84(constB64, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex2)) | v84(constB65, bitIndex2) | (~v84(constB64, bitIndex2)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24680,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex2)) | v84(constB65, bitIndex2) | (~v84(constB64, bitIndex2)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24681,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex2)) | v84(constB65, bitIndex2) | (~v84(constB64, bitIndex2))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24680, 24679])).
% 136.07/86.73 tff(24682,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24681, 777, 767, 24658, 24670, 24564, 24678])).
% 136.07/86.73 tff(24683,plain,((~v84(constB64, bitIndex2)) | v84(constB65, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24684,plain,
% 136.07/86.73 (v84(constB65, bitIndex2)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24683, 24677])).
% 136.07/86.73 tff(24685,assumption,(v84(constB65, bitIndex2)), introduced(assumption)).
% 136.07/86.73 tff(24686,assumption,(v145(constB65)), introduced(assumption)).
% 136.07/86.73 tff(24687,plain,
% 136.07/86.73 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB65)) | (~v84(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB65)) | (~v84(constB65, bitIndex2)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24688,plain,
% 136.07/86.73 (((~v84(constB65, bitIndex2)) | (~v145(constB65))) <=> ((~v145(constB65)) | (~v84(constB65, bitIndex2)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24689,plain,
% 136.07/86.73 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v145(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB65)) | (~v84(constB65, bitIndex2))))),
% 136.07/86.73 inference(monotonicity,[status(thm)],[24688])).
% 136.07/86.73 tff(24690,plain,
% 136.07/86.73 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v145(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB65)) | (~v84(constB65, bitIndex2)))),
% 136.07/86.73 inference(transitivity,[status(thm)],[24689, 24687])).
% 136.07/86.73 tff(24691,plain,
% 136.07/86.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v145(constB65)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24692,plain,
% 136.07/86.73 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB65)) | (~v84(constB65, bitIndex2))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24691, 24690])).
% 136.07/86.73 tff(24693,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24692, 725, 24686, 24685])).
% 136.07/86.73 tff(24694,plain,((~v145(constB65)) | (~v84(constB65, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24695,plain,
% 136.07/86.73 (~v145(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24694, 24684])).
% 136.07/86.73 tff(24696,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24167, 777, 795, 23346, 24144, 24143, 23958])).
% 136.07/86.73 tff(24697,plain,(v84(constB64, bitIndex0) | v94(constB64) | (~v84(constB63, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24698,plain,
% 136.07/86.73 (~v84(constB63, bitIndex0)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24697, 24143, 24144])).
% 136.07/86.73 tff(24699,plain,
% 136.07/86.73 (v84(constB64, bitIndex2)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24416, 24143, 24585])).
% 136.07/86.73 tff(24700,plain,
% 136.07/86.73 (~v84(constB63, bitIndex1)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24627, 24698, 24144, 24699])).
% 136.07/86.73 tff(24701,plain,
% 136.07/86.73 (~v84(constB63, bitIndex2)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24636, 24700, 24698])).
% 136.07/86.73 tff(24702,plain,
% 136.07/86.73 (v84(constB63, bitIndex0) | v84(constB63, bitIndex1) | v84(constB63, bitIndex2)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24172, 983, 24580])).
% 136.07/86.73 tff(24703,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24702, 24701, 24700, 24698])).
% 136.07/86.73 tff(24704,plain,(v84(constB64, bitIndex0) | v94(constB64)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24705,plain,
% 136.07/86.73 (v84(constB64, bitIndex0)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24704, 24144])).
% 136.07/86.73 tff(24706,assumption,(~v84(constB65, bitIndex0)), introduced(assumption)).
% 136.07/86.73 tff(24707,plain,
% 136.07/86.73 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex0)) | v84(constB65, bitIndex0) | (~v84(constB64, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex0)) | v84(constB65, bitIndex0) | (~v84(constB64, bitIndex0)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24708,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex0)) | v84(constB65, bitIndex0) | (~v84(constB64, bitIndex0)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24709,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB64, constB65)) | v94(constB65) | (~less_3(bitIndex0)) | v84(constB65, bitIndex0) | (~v84(constB64, bitIndex0))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24708, 24707])).
% 136.07/86.73 tff(24710,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24709, 777, 795, 24658, 24670, 24418, 24706])).
% 136.07/86.73 tff(24711,plain,(v84(constB65, bitIndex0) | (~v84(constB64, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24712,plain,
% 136.07/86.73 (v84(constB65, bitIndex0)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24711, 24705])).
% 136.07/86.73 tff(24713,assumption,(~v94(constB66)), introduced(assumption)).
% 136.07/86.73 tff(24714,plain,
% 136.07/86.73 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24715,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_65_1')).
% 136.07/86.73 tff(24716,plain,
% 136.07/86.73 (nextState(constB65, constB66)),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24715, 24714])).
% 136.07/86.73 tff(24717,plain,
% 136.07/86.73 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | (~v84(constB65, bitIndex2)) | v84(constB66, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | (~v84(constB65, bitIndex2)) | v84(constB66, bitIndex2))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24718,plain,
% 136.07/86.73 (((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | v84(constB66, bitIndex2) | (~v84(constB65, bitIndex2))) <=> ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | (~v84(constB65, bitIndex2)) | v84(constB66, bitIndex2))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24719,plain,
% 136.07/86.73 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | v84(constB66, bitIndex2) | (~v84(constB65, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | (~v84(constB65, bitIndex2)) | v84(constB66, bitIndex2)))),
% 136.07/86.73 inference(monotonicity,[status(thm)],[24718])).
% 136.07/86.73 tff(24720,plain,
% 136.07/86.73 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | v84(constB66, bitIndex2) | (~v84(constB65, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | (~v84(constB65, bitIndex2)) | v84(constB66, bitIndex2))),
% 136.07/86.73 inference(transitivity,[status(thm)],[24719, 24717])).
% 136.07/86.73 tff(24721,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | v84(constB66, bitIndex2) | (~v84(constB65, bitIndex2)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24722,plain,
% 136.07/86.73 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex2)) | (~v84(constB65, bitIndex2)) | v84(constB66, bitIndex2)),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24721, 24720])).
% 136.07/86.73 tff(24723,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24722, 777, 767, 24716, 24713, 24685, 24648])).
% 136.07/86.73 tff(24724,plain,(v84(constB66, bitIndex2) | v94(constB66) | (~v84(constB65, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24725,plain,
% 136.07/86.73 (v94(constB66)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24724, 24684, 24648])).
% 136.07/86.73 tff(24726,plain,
% 136.07/86.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v94(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v94(constB66)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24727,plain,
% 136.07/86.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB65, constB66)) | v104(constB66) | (~v94(constB66)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24728,plain,
% 136.07/86.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB65, constB66)) | v104(constB66) | (~v94(constB66))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24727, 24726])).
% 136.07/86.73 tff(24729,plain,
% 136.07/86.73 (v104(constB66) | (~v94(constB66))),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24728, 3113, 24716])).
% 136.07/86.73 tff(24730,plain,
% 136.07/86.73 (v104(constB66)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24729, 24725])).
% 136.07/86.73 tff(24731,plain,
% 136.07/86.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB65, constB66)) | (~v104(constB66)) | v102(constB65))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB65, constB66)) | (~v104(constB66)) | v102(constB65))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24732,plain,
% 136.07/86.73 (((~nextState(constB65, constB66)) | v102(constB65) | (~v104(constB66))) <=> ((~nextState(constB65, constB66)) | (~v104(constB66)) | v102(constB65))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24733,plain,
% 136.07/86.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB65, constB66)) | v102(constB65) | (~v104(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB65, constB66)) | (~v104(constB66)) | v102(constB65)))),
% 136.07/86.73 inference(monotonicity,[status(thm)],[24732])).
% 136.07/86.73 tff(24734,plain,
% 136.07/86.73 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB65, constB66)) | v102(constB65) | (~v104(constB66)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB65, constB66)) | (~v104(constB66)) | v102(constB65))),
% 136.07/86.73 inference(transitivity,[status(thm)],[24733, 24731])).
% 136.07/86.73 tff(24735,plain,
% 136.07/86.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB65, constB66)) | v102(constB65) | (~v104(constB66)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24736,plain,
% 136.07/86.73 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB65, constB66)) | (~v104(constB66)) | v102(constB65)),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24735, 24734])).
% 136.07/86.73 tff(24737,plain,
% 136.07/86.73 ((~v104(constB66)) | v102(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24736, 3128, 24716])).
% 136.07/86.73 tff(24738,plain,
% 136.07/86.73 (v102(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24737, 24730])).
% 136.07/86.73 tff(24739,assumption,(v26(constB65)), introduced(assumption)).
% 136.07/86.73 tff(24740,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24741,plain,
% 136.07/86.73 ($false),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24740, 1172, 24739])).
% 136.07/86.73 tff(24742,plain,(~v26(constB65)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.73 tff(24743,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB65)) | v26(constB65) | v106(constB65))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB65)) | v26(constB65) | v106(constB65))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24744,plain,
% 136.07/86.73 ((v26(constB65) | v106(constB65) | (~v102(constB65))) <=> ((~v102(constB65)) | v26(constB65) | v106(constB65))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24745,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB65) | v106(constB65) | (~v102(constB65)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB65)) | v26(constB65) | v106(constB65)))),
% 136.07/86.73 inference(monotonicity,[status(thm)],[24744])).
% 136.07/86.73 tff(24746,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB65) | v106(constB65) | (~v102(constB65)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB65)) | v26(constB65) | v106(constB65))),
% 136.07/86.73 inference(transitivity,[status(thm)],[24745, 24743])).
% 136.07/86.73 tff(24747,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB65) | v106(constB65) | (~v102(constB65)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24748,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB65)) | v26(constB65) | v106(constB65)),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24747, 24746])).
% 136.07/86.73 tff(24749,plain,
% 136.07/86.73 ((~v102(constB65)) | v106(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24748, 3146, 24742])).
% 136.07/86.73 tff(24750,plain,
% 136.07/86.73 (v106(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24749, 24738])).
% 136.07/86.73 tff(24751,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB65) | (~v106(constB65)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB65) | (~v106(constB65)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24752,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB65) | (~v106(constB65)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24753,plain,
% 136.07/86.73 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB65) | (~v106(constB65))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24752, 24751])).
% 136.07/86.73 tff(24754,plain,
% 136.07/86.73 (v107(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24753, 3161, 24750])).
% 136.07/86.73 tff(24755,assumption,(v84(constB65, bitIndex1)), introduced(assumption)).
% 136.07/86.73 tff(24756,plain,
% 136.07/86.73 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB65)) | (~v84(constB65, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB65)) | (~v84(constB65, bitIndex1)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24757,plain,
% 136.07/86.73 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB65)) | (~v84(constB65, bitIndex1)))),
% 136.07/86.73 inference(quant_inst,[status(thm)],[])).
% 136.07/86.73 tff(24758,plain,
% 136.07/86.73 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB65)) | (~v84(constB65, bitIndex1))),
% 136.07/86.73 inference(modus_ponens,[status(thm)],[24757, 24756])).
% 136.07/86.73 tff(24759,plain,
% 136.07/86.73 (~v113(constB65)),
% 136.07/86.73 inference(unit_resolution,[status(thm)],[24758, 1465, 24755])).
% 136.07/86.73 tff(24760,assumption,(~v145(constB65)), introduced(assumption)).
% 136.07/86.73 tff(24761,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB65) | v113(constB65) | (~v112(constB65)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB65) | v113(constB65) | (~v112(constB65)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24762,plain,
% 136.07/86.73 ((v113(constB65) | (~v112(constB65)) | v145(constB65)) <=> (v145(constB65) | v113(constB65) | (~v112(constB65)))),
% 136.07/86.73 inference(rewrite,[status(thm)],[])).
% 136.07/86.73 tff(24763,plain,
% 136.07/86.73 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB65) | (~v112(constB65)) | v145(constB65))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB65) | v113(constB65) | (~v112(constB65))))),
% 136.07/86.74 inference(monotonicity,[status(thm)],[24762])).
% 136.07/86.74 tff(24764,plain,
% 136.07/86.74 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB65) | (~v112(constB65)) | v145(constB65))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB65) | v113(constB65) | (~v112(constB65)))),
% 136.07/86.74 inference(transitivity,[status(thm)],[24763, 24761])).
% 136.07/86.74 tff(24765,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB65) | (~v112(constB65)) | v145(constB65))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24766,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB65) | v113(constB65) | (~v112(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24765, 24764])).
% 136.07/86.74 tff(24767,plain,
% 136.07/86.74 (v113(constB65) | (~v112(constB65))),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24766, 2894, 24760])).
% 136.07/86.74 tff(24768,plain,
% 136.07/86.74 (~v112(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24767, 24759])).
% 136.07/86.74 tff(24769,assumption,(~v115(constB65)), introduced(assumption)).
% 136.07/86.74 tff(24770,plain,
% 136.07/86.74 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB65) | v115(constB65) | (~v111(constB65)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB65) | v115(constB65) | (~v111(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24771,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB65) | v115(constB65) | (~v111(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24772,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB65) | v115(constB65) | (~v111(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24771, 24770])).
% 136.07/86.74 tff(24773,plain,
% 136.07/86.74 (~v111(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24772, 2911, 24769, 24768])).
% 136.07/86.74 tff(24774,assumption,(v84(constB65, bitIndex0)), introduced(assumption)).
% 136.07/86.74 tff(24775,plain,
% 136.07/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB65, bitIndex0)) | (~v119(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB65, bitIndex0)) | (~v119(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24776,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB65, bitIndex0)) | (~v119(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24777,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB65, bitIndex0)) | (~v119(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24776, 24775])).
% 136.07/86.74 tff(24778,plain,
% 136.07/86.74 (~v119(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24777, 3173, 24774])).
% 136.07/86.74 tff(24779,assumption,(v107(constB65)), introduced(assumption)).
% 136.07/86.74 tff(24780,plain,
% 136.07/86.74 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB65) | v119(constB65) | (~v107(constB65)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB65) | v119(constB65) | (~v107(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24781,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB65) | v119(constB65) | (~v107(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24782,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB65) | v119(constB65) | (~v107(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24781, 24780])).
% 136.07/86.74 tff(24783,plain,
% 136.07/86.74 (v108(constB65) | v119(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24782, 3195, 24779])).
% 136.07/86.74 tff(24784,plain,
% 136.07/86.74 (v108(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24783, 24778])).
% 136.07/86.74 tff(24785,plain,
% 136.07/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v118(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v118(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24786,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v118(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24787,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v118(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24786, 24785])).
% 136.07/86.74 tff(24788,plain,
% 136.07/86.74 (~v118(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24787, 2842, 24755])).
% 136.07/86.74 tff(24789,plain,
% 136.07/86.74 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB65) | v118(constB65) | (~v108(constB65)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB65) | v118(constB65) | (~v108(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24790,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB65) | v118(constB65) | (~v108(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24791,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB65) | v118(constB65) | (~v108(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24790, 24789])).
% 136.07/86.74 tff(24792,plain,
% 136.07/86.74 (v109(constB65) | (~v108(constB65))),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24791, 2856, 24788])).
% 136.07/86.74 tff(24793,plain,
% 136.07/86.74 (v109(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24792, 24784])).
% 136.07/86.74 tff(24794,plain,
% 136.07/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v172(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v172(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24795,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB65, bitIndex1)) | (~v172(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24796,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB65, bitIndex1)) | (~v172(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24795, 24794])).
% 136.07/86.74 tff(24797,plain,
% 136.07/86.74 (~v172(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24796, 2289, 24755])).
% 136.07/86.74 tff(24798,plain,
% 136.07/86.74 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB65)) | v172(constB65) | v110(constB65))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB65)) | v172(constB65) | v110(constB65))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24799,plain,
% 136.07/86.74 ((v110(constB65) | (~v109(constB65)) | v172(constB65)) <=> ((~v109(constB65)) | v172(constB65) | v110(constB65))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24800,plain,
% 136.07/86.74 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB65) | (~v109(constB65)) | v172(constB65))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB65)) | v172(constB65) | v110(constB65)))),
% 136.07/86.74 inference(monotonicity,[status(thm)],[24799])).
% 136.07/86.74 tff(24801,plain,
% 136.07/86.74 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB65) | (~v109(constB65)) | v172(constB65))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB65)) | v172(constB65) | v110(constB65))),
% 136.07/86.74 inference(transitivity,[status(thm)],[24800, 24798])).
% 136.07/86.74 tff(24802,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB65) | (~v109(constB65)) | v172(constB65))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24803,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB65)) | v172(constB65) | v110(constB65)),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24802, 24801])).
% 136.07/86.74 tff(24804,plain,
% 136.07/86.74 ((~v109(constB65)) | v110(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24803, 2871, 24797])).
% 136.07/86.74 tff(24805,plain,
% 136.07/86.74 (v110(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24804, 24793])).
% 136.07/86.74 tff(24806,plain,
% 136.07/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v116(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB65, bitIndex2)) | (~v116(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24807,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v116(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24808,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB65, bitIndex2)) | (~v116(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24807, 24806])).
% 136.07/86.74 tff(24809,plain,
% 136.07/86.74 (~v116(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24808, 1130, 24685])).
% 136.07/86.74 tff(24810,plain,
% 136.07/86.74 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB65) | v116(constB65) | (~v110(constB65)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB65) | v116(constB65) | (~v110(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24811,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB65) | v116(constB65) | (~v110(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24812,plain,
% 136.07/86.74 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB65) | v116(constB65) | (~v110(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24811, 24810])).
% 136.07/86.74 tff(24813,plain,
% 136.07/86.74 ($false),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24812, 2932, 24809, 24805, 24773])).
% 136.07/86.74 tff(24814,plain,(v145(constB65) | (~v107(constB65)) | v115(constB65) | (~v84(constB65, bitIndex2)) | (~v84(constB65, bitIndex0)) | (~v84(constB65, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.74 tff(24815,plain,
% 136.07/86.74 (v115(constB65)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24814, 24754, 24684, 24712, 24695, 24676])).
% 136.07/86.74 tff(24816,plain,
% 136.07/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB65, bitIndex0)) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB65, bitIndex0)) | (~v115(constB65)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24817,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB65, bitIndex0)) | (~v115(constB65)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24818,plain,
% 136.07/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB65, bitIndex0)) | (~v115(constB65))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24817, 24816])).
% 136.07/86.74 tff(24819,plain,
% 136.07/86.74 ($false),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24818, 3011, 24712, 24815])).
% 136.07/86.74 tff(24820,plain,(v94(constB64) | v84(constB66, bitIndex2) | (~v84(constB63, bitIndex2)) | (~v84(constB63, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.07/86.74 tff(24821,plain,
% 136.07/86.74 (~v84(constB63, bitIndex2)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24820, 24144, 24648, 23920])).
% 136.07/86.74 tff(24822,plain,
% 136.07/86.74 ((~v84(constB63, bitIndex0)) | v84(constB63, bitIndex2) | v116(constB63)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24600, 1076, 23920])).
% 136.07/86.74 tff(24823,plain,
% 136.07/86.74 (v116(constB63)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24822, 24821, 24639])).
% 136.07/86.74 tff(24824,plain,
% 136.07/86.74 (v110(constB63)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24583, 934, 24823])).
% 136.07/86.74 tff(24825,plain,
% 136.07/86.74 (v109(constB63)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24236, 680, 24824])).
% 136.07/86.74 tff(24826,plain,
% 136.07/86.74 ($false),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24232, 669, 24825, 24229])).
% 136.07/86.74 tff(24827,plain,(v94(constB64) | (~v84(constB63, bitIndex1)) | v84(constB66, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.07/86.74 tff(24828,plain,
% 136.07/86.74 (v84(constB66, bitIndex2)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24827, 24647, 24144])).
% 136.07/86.74 tff(24829,assumption,(v84(constB66, bitIndex2)), introduced(assumption)).
% 136.07/86.74 tff(24830,assumption,(~v84(constB67, bitIndex2)), introduced(assumption)).
% 136.07/86.74 tff(24831,plain,
% 136.07/86.74 ((~v1(constB67)) <=> (~v1(constB67))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24832,axiom,(~v1(constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_67_1_1')).
% 136.07/86.74 tff(24833,plain,
% 136.07/86.74 (~v1(constB67)),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24832, 24831])).
% 136.07/86.74 tff(24834,plain,
% 136.07/86.74 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24835,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_66_1')).
% 136.07/86.74 tff(24836,plain,
% 136.07/86.74 (nextState(constB66, constB67)),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24835, 24834])).
% 136.07/86.74 tff(24837,plain,
% 136.07/86.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24838,plain,
% 136.07/86.74 (((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67)) <=> (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24839,plain,
% 136.07/86.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))))),
% 136.07/86.74 inference(monotonicity,[status(thm)],[24838])).
% 136.07/86.74 tff(24840,plain,
% 136.07/86.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67)))),
% 136.07/86.74 inference(transitivity,[status(thm)],[24839, 24837])).
% 136.07/86.74 tff(24841,plain,
% 136.07/86.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB66, constB67)) | (~v95(constB67)) | v1(constB67))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24842,plain,
% 136.07/86.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB67) | (~nextState(constB66, constB67)) | (~v95(constB67))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24841, 24840])).
% 136.07/86.74 tff(24843,plain,
% 136.07/86.74 (~v95(constB67)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24842, 742, 24836, 24833])).
% 136.07/86.74 tff(24844,plain,
% 136.07/86.74 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 136.07/86.74 inference(rewrite,[status(thm)],[])).
% 136.07/86.74 tff(24845,plain,
% 136.07/86.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67)))),
% 136.07/86.74 inference(quant_inst,[status(thm)],[])).
% 136.07/86.74 tff(24846,plain,
% 136.07/86.74 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB66, constB67)) | v95(constB67) | (~v94(constB67))),
% 136.07/86.74 inference(modus_ponens,[status(thm)],[24845, 24844])).
% 136.07/86.74 tff(24847,plain,
% 136.07/86.74 (v95(constB67) | (~v94(constB67))),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24846, 759, 24836])).
% 136.07/86.74 tff(24848,plain,
% 136.07/86.74 (~v94(constB67)),
% 136.07/86.74 inference(unit_resolution,[status(thm)],[24847, 24843])).
% 136.10/86.74 tff(24849,plain,
% 136.10/86.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB66, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB66, bitIndex2)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24850,plain,
% 136.10/86.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB66, bitIndex2)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24851,plain,
% 136.10/86.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB66, bitIndex2))),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24850, 24849])).
% 136.10/86.74 tff(24852,plain,
% 136.10/86.74 ($false),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24851, 777, 767, 24836, 24848, 24830, 24829])).
% 136.10/86.74 tff(24853,plain,(v84(constB67, bitIndex2) | (~v84(constB66, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.74 tff(24854,plain,
% 136.10/86.74 (v84(constB67, bitIndex2)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24853, 24828])).
% 136.10/86.74 tff(24855,plain,
% 136.10/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB67, bitIndex2)) | (~v115(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB67, bitIndex2)) | (~v115(constB67)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24856,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB67, bitIndex2)) | (~v115(constB67)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24857,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB67, bitIndex2)) | (~v115(constB67))),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24856, 24855])).
% 136.10/86.74 tff(24858,plain,
% 136.10/86.74 (~v115(constB67)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24857, 2665, 24854])).
% 136.10/86.74 tff(24859,plain,
% 136.10/86.74 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB67)) | (~v84(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB67)) | (~v84(constB67, bitIndex2)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24860,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB67)) | (~v84(constB67, bitIndex2)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24861,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB67)) | (~v84(constB67, bitIndex2))),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24860, 24859])).
% 136.10/86.74 tff(24862,plain,
% 136.10/86.74 (~v113(constB67)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24861, 1119, 24854])).
% 136.10/86.74 tff(24863,assumption,(v84(constB67, bitIndex2)), introduced(assumption)).
% 136.10/86.74 tff(24864,assumption,(v145(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24865,plain,
% 136.10/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB67)) | (~v84(constB67, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB67)) | (~v84(constB67, bitIndex2)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24866,plain,
% 136.10/86.74 (((~v84(constB67, bitIndex2)) | (~v145(constB67))) <=> ((~v145(constB67)) | (~v84(constB67, bitIndex2)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24867,plain,
% 136.10/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB67, bitIndex2)) | (~v145(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB67)) | (~v84(constB67, bitIndex2))))),
% 136.10/86.74 inference(monotonicity,[status(thm)],[24866])).
% 136.10/86.74 tff(24868,plain,
% 136.10/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB67, bitIndex2)) | (~v145(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB67)) | (~v84(constB67, bitIndex2)))),
% 136.10/86.74 inference(transitivity,[status(thm)],[24867, 24865])).
% 136.10/86.74 tff(24869,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB67, bitIndex2)) | (~v145(constB67)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24870,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB67)) | (~v84(constB67, bitIndex2))),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24869, 24868])).
% 136.10/86.74 tff(24871,plain,
% 136.10/86.74 ($false),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24870, 725, 24864, 24863])).
% 136.10/86.74 tff(24872,plain,((~v145(constB67)) | (~v84(constB67, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.74 tff(24873,plain,
% 136.10/86.74 (~v145(constB67)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24872, 24854])).
% 136.10/86.74 tff(24874,assumption,(~v172(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24875,plain,
% 136.10/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB67, bitIndex2)) | (~v116(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB67, bitIndex2)) | (~v116(constB67)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24876,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB67, bitIndex2)) | (~v116(constB67)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24877,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB67, bitIndex2)) | (~v116(constB67))),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24876, 24875])).
% 136.10/86.74 tff(24878,plain,
% 136.10/86.74 (~v116(constB67)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24877, 1130, 24854])).
% 136.10/86.74 tff(24879,assumption,(~v124(constB67, bitIndex0)), introduced(assumption)).
% 136.10/86.74 tff(24880,assumption,(~v115(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24881,assumption,(~v113(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24882,assumption,(~v116(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24883,assumption,(~v145(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24884,assumption,(~v118(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24885,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB67) | (~b001(bitIndex0)) | v113(constB67) | v118(constB67) | v172(constB67) | v116(constB67) | v115(constB67) | v124(constB67, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB67) | (~b001(bitIndex0)) | v113(constB67) | v118(constB67) | v172(constB67) | v116(constB67) | v115(constB67) | v124(constB67, bitIndex0))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24886,plain,
% 136.10/86.74 ((v113(constB67) | v145(constB67) | v115(constB67) | v116(constB67) | v172(constB67) | v118(constB67) | (~less_3(bitIndex0)) | v124(constB67, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB67) | (~b001(bitIndex0)) | v113(constB67) | v118(constB67) | v172(constB67) | v116(constB67) | v115(constB67) | v124(constB67, bitIndex0))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24887,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB67) | v145(constB67) | v115(constB67) | v116(constB67) | v172(constB67) | v118(constB67) | (~less_3(bitIndex0)) | v124(constB67, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB67) | (~b001(bitIndex0)) | v113(constB67) | v118(constB67) | v172(constB67) | v116(constB67) | v115(constB67) | v124(constB67, bitIndex0)))),
% 136.10/86.74 inference(monotonicity,[status(thm)],[24886])).
% 136.10/86.74 tff(24888,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB67) | v145(constB67) | v115(constB67) | v116(constB67) | v172(constB67) | v118(constB67) | (~less_3(bitIndex0)) | v124(constB67, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB67) | (~b001(bitIndex0)) | v113(constB67) | v118(constB67) | v172(constB67) | v116(constB67) | v115(constB67) | v124(constB67, bitIndex0))),
% 136.10/86.74 inference(transitivity,[status(thm)],[24887, 24885])).
% 136.10/86.74 tff(24889,plain,
% 136.10/86.74 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB67) | v145(constB67) | v115(constB67) | v116(constB67) | v172(constB67) | v118(constB67) | (~less_3(bitIndex0)) | v124(constB67, bitIndex0) | (~b001(bitIndex0)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24890,plain,
% 136.10/86.74 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB67) | (~b001(bitIndex0)) | v113(constB67) | v118(constB67) | v172(constB67) | v116(constB67) | v115(constB67) | v124(constB67, bitIndex0)),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24889, 24888])).
% 136.10/86.74 tff(24891,plain,
% 136.10/86.74 ($false),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24890, 1213, 1210, 795, 24883, 24874, 24882, 24881, 24884, 24880, 24879])).
% 136.10/86.74 tff(24892,plain,(v124(constB67, bitIndex0) | v145(constB67) | v172(constB67) | v116(constB67) | v113(constB67) | v118(constB67) | v115(constB67)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.74 tff(24893,plain,
% 136.10/86.74 (v118(constB67)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24892, 24879, 24874, 24883, 24882, 24881, 24880])).
% 136.10/86.74 tff(24894,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB67)) | v124(constB67, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB67)) | v124(constB67, bitIndex0))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24895,plain,
% 136.10/86.74 (((~v118(constB67)) | (~less_3(bitIndex0)) | v124(constB67, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB67)) | v124(constB67, bitIndex0))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24896,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB67)) | (~less_3(bitIndex0)) | v124(constB67, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB67)) | v124(constB67, bitIndex0)))),
% 136.10/86.74 inference(monotonicity,[status(thm)],[24895])).
% 136.10/86.74 tff(24897,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB67)) | (~less_3(bitIndex0)) | v124(constB67, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB67)) | v124(constB67, bitIndex0))),
% 136.10/86.74 inference(transitivity,[status(thm)],[24896, 24894])).
% 136.10/86.74 tff(24898,plain,
% 136.10/86.74 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB67)) | (~less_3(bitIndex0)) | v124(constB67, bitIndex0) | (~b011(bitIndex0)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24899,plain,
% 136.10/86.74 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB67)) | v124(constB67, bitIndex0)),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24898, 24897])).
% 136.10/86.74 tff(24900,plain,
% 136.10/86.74 ($false),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24899, 1148, 1145, 795, 24893, 24879])).
% 136.10/86.74 tff(24901,plain,(v124(constB67, bitIndex0) | v172(constB67) | v145(constB67) | v116(constB67) | v113(constB67) | v115(constB67)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.74 tff(24902,plain,
% 136.10/86.74 (v124(constB67, bitIndex0)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24901, 24878, 24874, 24873, 24862, 24858])).
% 136.10/86.74 tff(24903,assumption,(v26(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24904,plain,
% 136.10/86.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24905,plain,
% 136.10/86.74 ($false),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24904, 1172, 24903])).
% 136.10/86.74 tff(24906,plain,(~v26(constB67)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.74 tff(24907,assumption,(~v121(constB67, bitIndex0)), introduced(assumption)).
% 136.10/86.74 tff(24908,assumption,(v124(constB67, bitIndex0)), introduced(assumption)).
% 136.10/86.74 tff(24909,assumption,(~v26(constB67)), introduced(assumption)).
% 136.10/86.74 tff(24910,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB67) | (~less_3(bitIndex0)) | v121(constB67, bitIndex0) | (~v124(constB67, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB67) | (~less_3(bitIndex0)) | v121(constB67, bitIndex0) | (~v124(constB67, bitIndex0)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24911,plain,
% 136.10/86.74 ((v26(constB67) | v121(constB67, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB67, bitIndex0))) <=> (v26(constB67) | (~less_3(bitIndex0)) | v121(constB67, bitIndex0) | (~v124(constB67, bitIndex0)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24912,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB67) | v121(constB67, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB67, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB67) | (~less_3(bitIndex0)) | v121(constB67, bitIndex0) | (~v124(constB67, bitIndex0))))),
% 136.10/86.74 inference(monotonicity,[status(thm)],[24911])).
% 136.10/86.74 tff(24913,plain,
% 136.10/86.74 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB67) | v121(constB67, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB67, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB67) | (~less_3(bitIndex0)) | v121(constB67, bitIndex0) | (~v124(constB67, bitIndex0)))),
% 136.10/86.74 inference(transitivity,[status(thm)],[24912, 24910])).
% 136.10/86.74 tff(24914,plain,
% 136.10/86.74 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB67) | v121(constB67, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB67, bitIndex0)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24915,plain,
% 136.10/86.74 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB67) | (~less_3(bitIndex0)) | v121(constB67, bitIndex0) | (~v124(constB67, bitIndex0))),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24914, 24913])).
% 136.10/86.74 tff(24916,plain,
% 136.10/86.74 ($false),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24915, 1728, 795, 24909, 24908, 24907])).
% 136.10/86.74 tff(24917,plain,(v121(constB67, bitIndex0) | v26(constB67) | (~v124(constB67, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.74 tff(24918,plain,
% 136.10/86.74 (v121(constB67, bitIndex0) | (~v124(constB67, bitIndex0))),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24917, 24906])).
% 136.10/86.74 tff(24919,plain,
% 136.10/86.74 (v121(constB67, bitIndex0)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24918, 24902])).
% 136.10/86.74 tff(24920,assumption,(~v123(constB68, bitIndex0)), introduced(assumption)).
% 136.10/86.74 tff(24921,assumption,(v121(constB67, bitIndex0)), introduced(assumption)).
% 136.10/86.74 tff(24922,plain,
% 136.10/86.74 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24923,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_67_1')).
% 136.10/86.74 tff(24924,plain,
% 136.10/86.74 (nextState(constB67, constB68)),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24923, 24922])).
% 136.10/86.74 tff(24925,plain,
% 136.10/86.74 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB67, constB68)) | (~less_3(bitIndex0)) | v123(constB68, bitIndex0) | (~v121(constB67, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB67, constB68)) | (~less_3(bitIndex0)) | v123(constB68, bitIndex0) | (~v121(constB67, bitIndex0)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24926,plain,
% 136.10/86.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB67, constB68)) | (~less_3(bitIndex0)) | v123(constB68, bitIndex0) | (~v121(constB67, bitIndex0)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24927,plain,
% 136.10/86.74 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB67, constB68)) | (~less_3(bitIndex0)) | v123(constB68, bitIndex0) | (~v121(constB67, bitIndex0))),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24926, 24925])).
% 136.10/86.74 tff(24928,plain,
% 136.10/86.74 ($false),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24927, 1708, 795, 24924, 24921, 24920])).
% 136.10/86.74 tff(24929,plain,(v123(constB68, bitIndex0) | (~v121(constB67, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.74 tff(24930,plain,
% 136.10/86.74 (v123(constB68, bitIndex0)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24929, 24919])).
% 136.10/86.74 tff(24931,plain,
% 136.10/86.74 (v84(constB64, bitIndex1)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24650, 24647, 24144])).
% 136.10/86.74 tff(24932,plain,
% 136.10/86.74 (v84(constB65, bitIndex1)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24675, 24931])).
% 136.10/86.74 tff(24933,plain,
% 136.10/86.74 (~v118(constB65)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24787, 2842, 24932])).
% 136.10/86.74 tff(24934,plain,
% 136.10/86.74 (v84(constB64, bitIndex2)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24606, 24641, 24144])).
% 136.10/86.74 tff(24935,plain,
% 136.10/86.74 (v84(constB65, bitIndex2)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24683, 24934])).
% 136.10/86.74 tff(24936,plain,
% 136.10/86.74 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB65)) | (~v84(constB65, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB65)) | (~v84(constB65, bitIndex2)))),
% 136.10/86.74 inference(rewrite,[status(thm)],[])).
% 136.10/86.74 tff(24937,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB65)) | (~v84(constB65, bitIndex2)))),
% 136.10/86.74 inference(quant_inst,[status(thm)],[])).
% 136.10/86.74 tff(24938,plain,
% 136.10/86.74 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB65)) | (~v84(constB65, bitIndex2))),
% 136.10/86.74 inference(modus_ponens,[status(thm)],[24937, 24936])).
% 136.10/86.74 tff(24939,plain,
% 136.10/86.74 (~v113(constB65)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24938, 1119, 24935])).
% 136.10/86.74 tff(24940,plain,
% 136.10/86.74 (~v145(constB65)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24694, 24935])).
% 136.10/86.74 tff(24941,plain,
% 136.10/86.74 (v113(constB65) | (~v112(constB65))),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24766, 2894, 24940])).
% 136.10/86.74 tff(24942,plain,
% 136.10/86.74 (~v112(constB65)),
% 136.10/86.74 inference(unit_resolution,[status(thm)],[24941, 24939])).
% 136.10/86.74 tff(24943,plain,
% 136.10/86.74 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v115(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB65, bitIndex2)) | (~v115(constB65)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24944,plain,
% 136.10/86.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB65, bitIndex2)) | (~v115(constB65)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(24945,plain,
% 136.10/86.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB65, bitIndex2)) | (~v115(constB65))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[24944, 24943])).
% 136.10/86.75 tff(24946,plain,
% 136.10/86.75 (~v115(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24945, 2665, 24935])).
% 136.10/86.75 tff(24947,plain,
% 136.10/86.75 (~v111(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24772, 2911, 24946, 24942])).
% 136.10/86.75 tff(24948,plain,
% 136.10/86.75 (~v116(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24808, 1130, 24935])).
% 136.10/86.75 tff(24949,plain,
% 136.10/86.75 (v111(constB65) | (~v110(constB65))),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24812, 2932, 24948])).
% 136.10/86.75 tff(24950,plain,
% 136.10/86.75 (~v110(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24949, 24947])).
% 136.10/86.75 tff(24951,plain,
% 136.10/86.75 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB65, bitIndex0)) | (~v172(constB65)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB65, bitIndex0)) | (~v172(constB65)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24952,plain,
% 136.10/86.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB65, bitIndex0)) | (~v172(constB65)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(24953,plain,
% 136.10/86.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB65, bitIndex0)) | (~v172(constB65))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[24952, 24951])).
% 136.10/86.75 tff(24954,plain,
% 136.10/86.75 (~v172(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24953, 7708, 24712])).
% 136.10/86.75 tff(24955,plain,
% 136.10/86.75 (~v109(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24803, 2871, 24954, 24950])).
% 136.10/86.75 tff(24956,plain,
% 136.10/86.75 (v118(constB65) | (~v108(constB65))),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24791, 2856, 24955])).
% 136.10/86.75 tff(24957,plain,
% 136.10/86.75 (~v108(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24956, 24933])).
% 136.10/86.75 tff(24958,plain,
% 136.10/86.75 (~v119(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24777, 3173, 24712])).
% 136.10/86.75 tff(24959,plain,
% 136.10/86.75 (v108(constB65) | (~v107(constB65))),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24782, 3195, 24958])).
% 136.10/86.75 tff(24960,plain,
% 136.10/86.75 (~v107(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24959, 24957])).
% 136.10/86.75 tff(24961,plain,
% 136.10/86.75 (~v106(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24753, 3161, 24960])).
% 136.10/86.75 tff(24962,plain,
% 136.10/86.75 (~v102(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24749, 24961])).
% 136.10/86.75 tff(24963,plain,
% 136.10/86.75 (~v104(constB66)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24737, 24962])).
% 136.10/86.75 tff(24964,plain,
% 136.10/86.75 (~v94(constB66)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24729, 24963])).
% 136.10/86.75 tff(24965,assumption,(~v84(constB66, bitIndex0)), introduced(assumption)).
% 136.10/86.75 tff(24966,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | (~v84(constB65, bitIndex0)) | v84(constB66, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | (~v84(constB65, bitIndex0)) | v84(constB66, bitIndex0))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24967,plain,
% 136.10/86.75 (((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | v84(constB66, bitIndex0) | (~v84(constB65, bitIndex0))) <=> ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | (~v84(constB65, bitIndex0)) | v84(constB66, bitIndex0))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24968,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | v84(constB66, bitIndex0) | (~v84(constB65, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | (~v84(constB65, bitIndex0)) | v84(constB66, bitIndex0)))),
% 136.10/86.75 inference(monotonicity,[status(thm)],[24967])).
% 136.10/86.75 tff(24969,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | v84(constB66, bitIndex0) | (~v84(constB65, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | (~v84(constB65, bitIndex0)) | v84(constB66, bitIndex0))),
% 136.10/86.75 inference(transitivity,[status(thm)],[24968, 24966])).
% 136.10/86.75 tff(24970,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | v84(constB66, bitIndex0) | (~v84(constB65, bitIndex0)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(24971,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex0)) | (~v84(constB65, bitIndex0)) | v84(constB66, bitIndex0)),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[24970, 24969])).
% 136.10/86.75 tff(24972,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24971, 777, 795, 24716, 24713, 24774, 24965])).
% 136.10/86.75 tff(24973,plain,(v84(constB66, bitIndex0) | v94(constB66) | (~v84(constB65, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(24974,plain,
% 136.10/86.75 (v84(constB66, bitIndex0)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24973, 24964, 24712])).
% 136.10/86.75 tff(24975,assumption,(v84(constB66, bitIndex0)), introduced(assumption)).
% 136.10/86.75 tff(24976,assumption,(~v84(constB67, bitIndex0)), introduced(assumption)).
% 136.10/86.75 tff(24977,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB66, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB66, bitIndex0)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24978,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB66, bitIndex0)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(24979,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB66, bitIndex0))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[24978, 24977])).
% 136.10/86.75 tff(24980,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24979, 777, 795, 24836, 24848, 24976, 24975])).
% 136.10/86.75 tff(24981,plain,(v84(constB67, bitIndex0) | (~v84(constB66, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(24982,plain,
% 136.10/86.75 (v84(constB67, bitIndex0)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24981, 24974])).
% 136.10/86.75 tff(24983,assumption,(v123(constB68, bitIndex0)), introduced(assumption)).
% 136.10/86.75 tff(24984,assumption,(~v84(constB68, bitIndex0)), introduced(assumption)).
% 136.10/86.75 tff(24985,assumption,(v84(constB67, bitIndex0)), introduced(assumption)).
% 136.10/86.75 tff(24986,assumption,(~v94(constB68)), introduced(assumption)).
% 136.10/86.75 tff(24987,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB67, bitIndex0)) | v84(constB68, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB67, bitIndex0)) | v84(constB68, bitIndex0))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24988,plain,
% 136.10/86.75 (((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB68, bitIndex0) | (~v84(constB67, bitIndex0))) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB67, bitIndex0)) | v84(constB68, bitIndex0))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24989,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB68, bitIndex0) | (~v84(constB67, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB67, bitIndex0)) | v84(constB68, bitIndex0)))),
% 136.10/86.75 inference(monotonicity,[status(thm)],[24988])).
% 136.10/86.75 tff(24990,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB68, bitIndex0) | (~v84(constB67, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB67, bitIndex0)) | v84(constB68, bitIndex0))),
% 136.10/86.75 inference(transitivity,[status(thm)],[24989, 24987])).
% 136.10/86.75 tff(24991,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB68, bitIndex0) | (~v84(constB67, bitIndex0)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(24992,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB67, bitIndex0)) | v84(constB68, bitIndex0)),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[24991, 24990])).
% 136.10/86.75 tff(24993,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24992, 777, 795, 24924, 24986, 24985, 24984])).
% 136.10/86.75 tff(24994,plain,(v84(constB68, bitIndex0) | v94(constB68) | (~v84(constB67, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(24995,plain,
% 136.10/86.75 (v94(constB68)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24994, 24984, 24985])).
% 136.10/86.75 tff(24996,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB68)) | (~less_3(bitIndex0)) | (~v123(constB68, bitIndex0)) | v84(constB68, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB68)) | (~less_3(bitIndex0)) | (~v123(constB68, bitIndex0)) | v84(constB68, bitIndex0))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24997,plain,
% 136.10/86.75 (((~less_3(bitIndex0)) | (~v94(constB68)) | v84(constB68, bitIndex0) | (~v123(constB68, bitIndex0))) <=> ((~v94(constB68)) | (~less_3(bitIndex0)) | (~v123(constB68, bitIndex0)) | v84(constB68, bitIndex0))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(24998,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB68)) | v84(constB68, bitIndex0) | (~v123(constB68, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB68)) | (~less_3(bitIndex0)) | (~v123(constB68, bitIndex0)) | v84(constB68, bitIndex0)))),
% 136.10/86.75 inference(monotonicity,[status(thm)],[24997])).
% 136.10/86.75 tff(24999,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB68)) | v84(constB68, bitIndex0) | (~v123(constB68, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB68)) | (~less_3(bitIndex0)) | (~v123(constB68, bitIndex0)) | v84(constB68, bitIndex0))),
% 136.10/86.75 inference(transitivity,[status(thm)],[24998, 24996])).
% 136.10/86.75 tff(25000,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB68)) | v84(constB68, bitIndex0) | (~v123(constB68, bitIndex0)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25001,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB68)) | (~less_3(bitIndex0)) | (~v123(constB68, bitIndex0)) | v84(constB68, bitIndex0)),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25000, 24999])).
% 136.10/86.75 tff(25002,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25001, 1674, 795, 24995, 24984, 24983])).
% 136.10/86.75 tff(25003,plain,(v84(constB68, bitIndex0) | (~v123(constB68, bitIndex0)) | (~v84(constB67, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(25004,plain,
% 136.10/86.75 (v84(constB68, bitIndex0)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25003, 24982, 24930])).
% 136.10/86.75 tff(25005,assumption,(v84(constB68, bitIndex0)), introduced(assumption)).
% 136.10/86.75 tff(25006,assumption,(~v84(constB69, bitIndex0)), introduced(assumption)).
% 136.10/86.75 tff(25007,plain,
% 136.10/86.75 ((~v1(constB69)) <=> (~v1(constB69))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25008,axiom,(~v1(constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_69_1_1')).
% 136.10/86.75 tff(25009,plain,
% 136.10/86.75 (~v1(constB69)),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25008, 25007])).
% 136.10/86.75 tff(25010,plain,
% 136.10/86.75 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25011,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_68_1')).
% 136.10/86.75 tff(25012,plain,
% 136.10/86.75 (nextState(constB68, constB69)),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25011, 25010])).
% 136.10/86.75 tff(25013,plain,
% 136.10/86.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25014,plain,
% 136.10/86.75 (((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69)) <=> (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25015,plain,
% 136.10/86.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))))),
% 136.10/86.75 inference(monotonicity,[status(thm)],[25014])).
% 136.10/86.75 tff(25016,plain,
% 136.10/86.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69)))),
% 136.10/86.75 inference(transitivity,[status(thm)],[25015, 25013])).
% 136.10/86.75 tff(25017,plain,
% 136.10/86.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB68, constB69)) | (~v95(constB69)) | v1(constB69))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25018,plain,
% 136.10/86.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB69) | (~nextState(constB68, constB69)) | (~v95(constB69))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25017, 25016])).
% 136.10/86.75 tff(25019,plain,
% 136.10/86.75 (~v95(constB69)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25018, 742, 25012, 25009])).
% 136.10/86.75 tff(25020,plain,
% 136.10/86.75 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25021,plain,
% 136.10/86.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25022,plain,
% 136.10/86.75 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB68, constB69)) | v95(constB69) | (~v94(constB69))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25021, 25020])).
% 136.10/86.75 tff(25023,plain,
% 136.10/86.75 (v95(constB69) | (~v94(constB69))),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25022, 759, 25012])).
% 136.10/86.75 tff(25024,plain,
% 136.10/86.75 (~v94(constB69)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25023, 25019])).
% 136.10/86.75 tff(25025,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB68, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB68, bitIndex0)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25026,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB68, bitIndex0)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25027,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB68, bitIndex0))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25026, 25025])).
% 136.10/86.75 tff(25028,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25027, 777, 795, 25012, 25024, 25006, 25005])).
% 136.10/86.75 tff(25029,plain,(v84(constB69, bitIndex0) | (~v84(constB68, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(25030,plain,
% 136.10/86.75 (v84(constB69, bitIndex0)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25029, 25004])).
% 136.10/86.75 tff(25031,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB67) | v113(constB67) | (~v112(constB67)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB67) | v113(constB67) | (~v112(constB67)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25032,plain,
% 136.10/86.75 ((v113(constB67) | (~v112(constB67)) | v145(constB67)) <=> (v145(constB67) | v113(constB67) | (~v112(constB67)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25033,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB67) | (~v112(constB67)) | v145(constB67))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB67) | v113(constB67) | (~v112(constB67))))),
% 136.10/86.75 inference(monotonicity,[status(thm)],[25032])).
% 136.10/86.75 tff(25034,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB67) | (~v112(constB67)) | v145(constB67))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB67) | v113(constB67) | (~v112(constB67)))),
% 136.10/86.75 inference(transitivity,[status(thm)],[25033, 25031])).
% 136.10/86.75 tff(25035,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB67) | (~v112(constB67)) | v145(constB67))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25036,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB67) | v113(constB67) | (~v112(constB67))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25035, 25034])).
% 136.10/86.75 tff(25037,plain,
% 136.10/86.75 (v113(constB67) | (~v112(constB67))),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25036, 2894, 24873])).
% 136.10/86.75 tff(25038,plain,
% 136.10/86.75 (~v112(constB67)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25037, 24862])).
% 136.10/86.75 tff(25039,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB67) | v115(constB67) | (~v111(constB67)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB67) | v115(constB67) | (~v111(constB67)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25040,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB67) | v115(constB67) | (~v111(constB67)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25041,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB67) | v115(constB67) | (~v111(constB67))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25040, 25039])).
% 136.10/86.75 tff(25042,plain,
% 136.10/86.75 (~v111(constB67)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25041, 2911, 24858, 25038])).
% 136.10/86.75 tff(25043,assumption,(~v111(constB67)), introduced(assumption)).
% 136.10/86.75 tff(25044,assumption,(v110(constB67)), introduced(assumption)).
% 136.10/86.75 tff(25045,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB67) | v116(constB67) | (~v110(constB67)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB67) | v116(constB67) | (~v110(constB67)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25046,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB67) | v116(constB67) | (~v110(constB67)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25047,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB67) | v116(constB67) | (~v110(constB67))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25046, 25045])).
% 136.10/86.75 tff(25048,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25047, 2932, 24882, 25044, 25043])).
% 136.10/86.75 tff(25049,plain,((~v110(constB67)) | v116(constB67) | v111(constB67)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(25050,plain,
% 136.10/86.75 (~v110(constB67)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25049, 25042, 24878])).
% 136.10/86.75 tff(25051,assumption,(v109(constB67)), introduced(assumption)).
% 136.10/86.75 tff(25052,assumption,(~v110(constB67)), introduced(assumption)).
% 136.10/86.75 tff(25053,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB67)) | v172(constB67) | v110(constB67))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB67)) | v172(constB67) | v110(constB67))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25054,plain,
% 136.10/86.75 ((v110(constB67) | (~v109(constB67)) | v172(constB67)) <=> ((~v109(constB67)) | v172(constB67) | v110(constB67))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25055,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB67) | (~v109(constB67)) | v172(constB67))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB67)) | v172(constB67) | v110(constB67)))),
% 136.10/86.75 inference(monotonicity,[status(thm)],[25054])).
% 136.10/86.75 tff(25056,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB67) | (~v109(constB67)) | v172(constB67))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB67)) | v172(constB67) | v110(constB67))),
% 136.10/86.75 inference(transitivity,[status(thm)],[25055, 25053])).
% 136.10/86.75 tff(25057,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB67) | (~v109(constB67)) | v172(constB67))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25058,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB67)) | v172(constB67) | v110(constB67)),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25057, 25056])).
% 136.10/86.75 tff(25059,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25058, 2871, 24874, 25052, 25051])).
% 136.10/86.75 tff(25060,plain,(v110(constB67) | v172(constB67) | (~v109(constB67))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(25061,plain,
% 136.10/86.75 (~v109(constB67)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25060, 25050, 24874])).
% 136.10/86.75 tff(25062,plain,
% 136.10/86.75 (~v113(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24758, 1465, 24676])).
% 136.10/86.75 tff(25063,plain,
% 136.10/86.75 (v113(constB65) | (~v112(constB65))),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24766, 2894, 24695])).
% 136.10/86.75 tff(25064,plain,
% 136.10/86.75 (~v112(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25063, 25062])).
% 136.10/86.75 tff(25065,plain,
% 136.10/86.75 (~v115(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24818, 3011, 24712])).
% 136.10/86.75 tff(25066,plain,
% 136.10/86.75 (~v111(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24772, 2911, 25065, 25064])).
% 136.10/86.75 tff(25067,plain,
% 136.10/86.75 (~v116(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24808, 1130, 24684])).
% 136.10/86.75 tff(25068,plain,
% 136.10/86.75 (~v110(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24812, 2932, 25067, 25066])).
% 136.10/86.75 tff(25069,plain,
% 136.10/86.75 (~v172(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24796, 2289, 24676])).
% 136.10/86.75 tff(25070,plain,
% 136.10/86.75 ((~v109(constB65)) | v110(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24803, 2871, 25069])).
% 136.10/86.75 tff(25071,plain,
% 136.10/86.75 (~v109(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25070, 25068])).
% 136.10/86.75 tff(25072,plain,
% 136.10/86.75 (~v118(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24787, 2842, 24676])).
% 136.10/86.75 tff(25073,plain,
% 136.10/86.75 (v109(constB65) | (~v108(constB65))),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24791, 2856, 25072])).
% 136.10/86.75 tff(25074,plain,
% 136.10/86.75 (~v108(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25073, 25071])).
% 136.10/86.75 tff(25075,plain,
% 136.10/86.75 (~v107(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24959, 25074])).
% 136.10/86.75 tff(25076,plain,
% 136.10/86.75 (~v106(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24753, 3161, 25075])).
% 136.10/86.75 tff(25077,plain,
% 136.10/86.75 (~v102(constB65)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24749, 25076])).
% 136.10/86.75 tff(25078,plain,
% 136.10/86.75 (~v104(constB66)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24737, 25077])).
% 136.10/86.75 tff(25079,plain,
% 136.10/86.75 (~v94(constB66)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24729, 25078])).
% 136.10/86.75 tff(25080,assumption,(~v84(constB66, bitIndex1)), introduced(assumption)).
% 136.10/86.75 tff(25081,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | (~v84(constB65, bitIndex1)) | v84(constB66, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | (~v84(constB65, bitIndex1)) | v84(constB66, bitIndex1))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25082,plain,
% 136.10/86.75 (((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | v84(constB66, bitIndex1) | (~v84(constB65, bitIndex1))) <=> ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | (~v84(constB65, bitIndex1)) | v84(constB66, bitIndex1))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25083,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | v84(constB66, bitIndex1) | (~v84(constB65, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | (~v84(constB65, bitIndex1)) | v84(constB66, bitIndex1)))),
% 136.10/86.75 inference(monotonicity,[status(thm)],[25082])).
% 136.10/86.75 tff(25084,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | v84(constB66, bitIndex1) | (~v84(constB65, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | (~v84(constB65, bitIndex1)) | v84(constB66, bitIndex1))),
% 136.10/86.75 inference(transitivity,[status(thm)],[25083, 25081])).
% 136.10/86.75 tff(25085,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | v84(constB66, bitIndex1) | (~v84(constB65, bitIndex1)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25086,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB65, constB66)) | v94(constB66) | (~less_3(bitIndex1)) | (~v84(constB65, bitIndex1)) | v84(constB66, bitIndex1)),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25085, 25084])).
% 136.10/86.75 tff(25087,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25086, 777, 823, 24716, 24713, 24755, 25080])).
% 136.10/86.75 tff(25088,plain,(v84(constB66, bitIndex1) | v94(constB66) | (~v84(constB65, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(25089,plain,
% 136.10/86.75 (v84(constB66, bitIndex1)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25088, 25079, 24676])).
% 136.10/86.75 tff(25090,assumption,(v84(constB66, bitIndex1)), introduced(assumption)).
% 136.10/86.75 tff(25091,assumption,(~v84(constB67, bitIndex1)), introduced(assumption)).
% 136.10/86.75 tff(25092,plain,
% 136.10/86.75 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex1)) | v84(constB67, bitIndex1) | (~v84(constB66, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex1)) | v84(constB67, bitIndex1) | (~v84(constB66, bitIndex1)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25093,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex1)) | v84(constB67, bitIndex1) | (~v84(constB66, bitIndex1)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25094,plain,
% 136.10/86.75 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB66, constB67)) | v94(constB67) | (~less_3(bitIndex1)) | v84(constB67, bitIndex1) | (~v84(constB66, bitIndex1))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25093, 25092])).
% 136.10/86.75 tff(25095,plain,
% 136.10/86.75 ($false),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25094, 777, 823, 24836, 24848, 25091, 25090])).
% 136.10/86.75 tff(25096,plain,(v84(constB67, bitIndex1) | (~v84(constB66, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.75 tff(25097,plain,
% 136.10/86.75 (v84(constB67, bitIndex1)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25096, 25089])).
% 136.10/86.75 tff(25098,plain,
% 136.10/86.75 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB67, bitIndex1)) | (~v118(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB67, bitIndex1)) | (~v118(constB67)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25099,plain,
% 136.10/86.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB67, bitIndex1)) | (~v118(constB67)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25100,plain,
% 136.10/86.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB67, bitIndex1)) | (~v118(constB67))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25099, 25098])).
% 136.10/86.75 tff(25101,plain,
% 136.10/86.75 (~v118(constB67)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25100, 2842, 25097])).
% 136.10/86.75 tff(25102,plain,
% 136.10/86.75 (v84(constB66, bitIndex0)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24973, 25079, 24712])).
% 136.10/86.75 tff(25103,plain,
% 136.10/86.75 (v84(constB67, bitIndex0)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[24981, 25102])).
% 136.10/86.75 tff(25104,plain,
% 136.10/86.75 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB67, bitIndex0)) | (~v119(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB67, bitIndex0)) | (~v119(constB67)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25105,plain,
% 136.10/86.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB67, bitIndex0)) | (~v119(constB67)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25106,plain,
% 136.10/86.75 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB67, bitIndex0)) | (~v119(constB67))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25105, 25104])).
% 136.10/86.75 tff(25107,plain,
% 136.10/86.75 (~v119(constB67)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25106, 3173, 25103])).
% 136.10/86.75 tff(25108,assumption,(v107(constB67)), introduced(assumption)).
% 136.10/86.75 tff(25109,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB67) | v119(constB67) | (~v107(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB67) | v119(constB67) | (~v107(constB67)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25110,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB67) | v119(constB67) | (~v107(constB67)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25111,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB67) | v119(constB67) | (~v107(constB67))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25110, 25109])).
% 136.10/86.75 tff(25112,plain,
% 136.10/86.75 (v108(constB67) | v119(constB67)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25111, 3195, 25108])).
% 136.10/86.75 tff(25113,plain,
% 136.10/86.75 (v108(constB67)),
% 136.10/86.75 inference(unit_resolution,[status(thm)],[25112, 25107])).
% 136.10/86.75 tff(25114,assumption,(~v109(constB67)), introduced(assumption)).
% 136.10/86.75 tff(25115,plain,
% 136.10/86.75 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB67) | v118(constB67) | (~v108(constB67)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB67) | v118(constB67) | (~v108(constB67)))),
% 136.10/86.75 inference(rewrite,[status(thm)],[])).
% 136.10/86.75 tff(25116,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB67) | v118(constB67) | (~v108(constB67)))),
% 136.10/86.75 inference(quant_inst,[status(thm)],[])).
% 136.10/86.75 tff(25117,plain,
% 136.10/86.75 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB67) | v118(constB67) | (~v108(constB67))),
% 136.10/86.75 inference(modus_ponens,[status(thm)],[25116, 25115])).
% 136.10/86.76 tff(25118,plain,
% 136.10/86.76 (v118(constB67) | (~v108(constB67))),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25117, 2856, 25114])).
% 136.10/86.76 tff(25119,plain,
% 136.10/86.76 ($false),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25118, 25113, 25101])).
% 136.10/86.76 tff(25120,plain,(v94(constB64) | v109(constB67) | (~v107(constB67)) | (~v84(constB63, bitIndex2)) | (~v84(constB63, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.76 tff(25121,plain,
% 136.10/86.76 (~v107(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25120, 25061, 24144, 24641, 24647])).
% 136.10/86.76 tff(25122,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB67) | (~v106(constB67)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB67) | (~v106(constB67)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25123,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB67) | (~v106(constB67)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25124,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB67) | (~v106(constB67))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25123, 25122])).
% 136.10/86.76 tff(25125,plain,
% 136.10/86.76 (~v106(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25124, 3161, 25121])).
% 136.10/86.76 tff(25126,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB67)) | v26(constB67) | v106(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB67)) | v26(constB67) | v106(constB67))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25127,plain,
% 136.10/86.76 ((v26(constB67) | v106(constB67) | (~v102(constB67))) <=> ((~v102(constB67)) | v26(constB67) | v106(constB67))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25128,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB67) | v106(constB67) | (~v102(constB67)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB67)) | v26(constB67) | v106(constB67)))),
% 136.10/86.76 inference(monotonicity,[status(thm)],[25127])).
% 136.10/86.76 tff(25129,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB67) | v106(constB67) | (~v102(constB67)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB67)) | v26(constB67) | v106(constB67))),
% 136.10/86.76 inference(transitivity,[status(thm)],[25128, 25126])).
% 136.10/86.76 tff(25130,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB67) | v106(constB67) | (~v102(constB67)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25131,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB67)) | v26(constB67) | v106(constB67)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25130, 25129])).
% 136.10/86.76 tff(25132,plain,
% 136.10/86.76 ((~v102(constB67)) | v106(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25131, 3146, 24906])).
% 136.10/86.76 tff(25133,plain,
% 136.10/86.76 (~v102(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25132, 25125])).
% 136.10/86.76 tff(25134,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB67, constB68)) | (~v104(constB68)) | v102(constB67))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB67, constB68)) | (~v104(constB68)) | v102(constB67))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25135,plain,
% 136.10/86.76 (((~nextState(constB67, constB68)) | v102(constB67) | (~v104(constB68))) <=> ((~nextState(constB67, constB68)) | (~v104(constB68)) | v102(constB67))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25136,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB67, constB68)) | v102(constB67) | (~v104(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB67, constB68)) | (~v104(constB68)) | v102(constB67)))),
% 136.10/86.76 inference(monotonicity,[status(thm)],[25135])).
% 136.10/86.76 tff(25137,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB67, constB68)) | v102(constB67) | (~v104(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB67, constB68)) | (~v104(constB68)) | v102(constB67))),
% 136.10/86.76 inference(transitivity,[status(thm)],[25136, 25134])).
% 136.10/86.76 tff(25138,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB67, constB68)) | v102(constB67) | (~v104(constB68)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25139,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB67, constB68)) | (~v104(constB68)) | v102(constB67)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25138, 25137])).
% 136.10/86.76 tff(25140,plain,
% 136.10/86.76 ((~v104(constB68)) | v102(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25139, 3128, 24924])).
% 136.10/86.76 tff(25141,plain,
% 136.10/86.76 (~v104(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25140, 25133])).
% 136.10/86.76 tff(25142,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v94(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v94(constB68)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25143,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v94(constB68)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25144,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v94(constB68))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25143, 25142])).
% 136.10/86.76 tff(25145,plain,
% 136.10/86.76 (v104(constB68) | (~v94(constB68))),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25144, 3113, 24924])).
% 136.10/86.76 tff(25146,plain,
% 136.10/86.76 (~v94(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25145, 25141])).
% 136.10/86.76 tff(25147,assumption,(~v84(constB68, bitIndex2)), introduced(assumption)).
% 136.10/86.76 tff(25148,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB67, bitIndex2)) | v84(constB68, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB67, bitIndex2)) | v84(constB68, bitIndex2))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25149,plain,
% 136.10/86.76 (((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB68, bitIndex2) | (~v84(constB67, bitIndex2))) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB67, bitIndex2)) | v84(constB68, bitIndex2))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25150,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB68, bitIndex2) | (~v84(constB67, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB67, bitIndex2)) | v84(constB68, bitIndex2)))),
% 136.10/86.76 inference(monotonicity,[status(thm)],[25149])).
% 136.10/86.76 tff(25151,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB68, bitIndex2) | (~v84(constB67, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB67, bitIndex2)) | v84(constB68, bitIndex2))),
% 136.10/86.76 inference(transitivity,[status(thm)],[25150, 25148])).
% 136.10/86.76 tff(25152,plain,
% 136.10/86.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB68, bitIndex2) | (~v84(constB67, bitIndex2)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25153,plain,
% 136.10/86.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB67, bitIndex2)) | v84(constB68, bitIndex2)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25152, 25151])).
% 136.10/86.76 tff(25154,plain,
% 136.10/86.76 ($false),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25153, 777, 767, 24924, 24986, 24863, 25147])).
% 136.10/86.76 tff(25155,plain,(v84(constB68, bitIndex2) | v94(constB68) | (~v84(constB67, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.76 tff(25156,plain,
% 136.10/86.76 (v84(constB68, bitIndex2)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25155, 25146, 24854])).
% 136.10/86.76 tff(25157,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25158,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25159,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB67) | (~nextState(constB67, constB68)) | (~v98(constB68))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25158, 25157])).
% 136.10/86.76 tff(25160,plain,
% 136.10/86.76 (~v98(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25159, 541, 24924, 24833])).
% 136.10/86.76 tff(25161,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25162,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB67, constB68)) | v96(constB68) | v98(constB68))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25163,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB67, constB68)) | v96(constB68) | v98(constB68)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25162, 25161])).
% 136.10/86.76 tff(25164,plain,
% 136.10/86.76 (v96(constB68) | v98(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25163, 555, 24924])).
% 136.10/86.76 tff(25165,plain,
% 136.10/86.76 (v96(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25164, 25160])).
% 136.10/86.76 tff(25166,plain,
% 136.10/86.76 (v1(constB68) <=> v1(constB68)),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25167,axiom,(v1(constB68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_68_1')).
% 136.10/86.76 tff(25168,plain,
% 136.10/86.76 (v1(constB68)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25167, 25166])).
% 136.10/86.76 tff(25169,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25170,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25171,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB67, constB68)) | v95(constB68) | (~v96(constB68)) | (~v1(constB68))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25170, 25169])).
% 136.10/86.76 tff(25172,plain,
% 136.10/86.76 (v95(constB68) | (~v96(constB68))),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25171, 573, 24924, 25168])).
% 136.10/86.76 tff(25173,plain,
% 136.10/86.76 (v95(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25172, 25165])).
% 136.10/86.76 tff(25174,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25175,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25176,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB67, constB68)) | (~v95(constB68)) | (~v104(constB68)) | v94(constB68)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25175, 25174])).
% 136.10/86.76 tff(25177,plain,
% 136.10/86.76 ((~v95(constB68)) | (~v104(constB68)) | v94(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25176, 588, 24924])).
% 136.10/86.76 tff(25178,plain,
% 136.10/86.76 ((~v104(constB68)) | v94(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25177, 25173])).
% 136.10/86.76 tff(25179,plain,
% 136.10/86.76 (~v104(constB68)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25178, 24986])).
% 136.10/86.76 tff(25180,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25181,plain,
% 136.10/86.76 (((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68)) <=> ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25182,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))))),
% 136.10/86.76 inference(monotonicity,[status(thm)],[25181])).
% 136.10/86.76 tff(25183,plain,
% 136.10/86.76 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67)))),
% 136.10/86.76 inference(transitivity,[status(thm)],[25182, 25180])).
% 136.10/86.76 tff(25184,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB67, constB68)) | (~v102(constB67)) | v104(constB68))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25185,plain,
% 136.10/86.76 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB67, constB68)) | v104(constB68) | (~v102(constB67))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25184, 25183])).
% 136.10/86.76 tff(25186,plain,
% 136.10/86.76 (v104(constB68) | (~v102(constB67))),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25185, 604, 24924])).
% 136.10/86.76 tff(25187,plain,
% 136.10/86.76 (~v102(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25186, 25179])).
% 136.10/86.76 tff(25188,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB67) | (~v106(constB67)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB67) | (~v106(constB67)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25189,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB67) | (~v106(constB67)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25190,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB67) | (~v106(constB67))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25189, 25188])).
% 136.10/86.76 tff(25191,plain,
% 136.10/86.76 (~v106(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25190, 619, 25187])).
% 136.10/86.76 tff(25192,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB67) | (~v26(constB67)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB67) | (~v26(constB67)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25193,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB67) | (~v26(constB67)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25194,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB67) | (~v26(constB67))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25193, 25192])).
% 136.10/86.76 tff(25195,plain,
% 136.10/86.76 (~v26(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25194, 630, 25187])).
% 136.10/86.76 tff(25196,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25197,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB67) | (~v107(constB67)) | v106(constB67))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25198,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB67) | (~v107(constB67)) | v106(constB67)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25197, 25196])).
% 136.10/86.76 tff(25199,plain,
% 136.10/86.76 (~v107(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25198, 644, 25195, 25191])).
% 136.10/86.76 tff(25200,assumption,(v84(constB68, bitIndex2)), introduced(assumption)).
% 136.10/86.76 tff(25201,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB68, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB68, bitIndex2)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25202,plain,
% 136.10/86.76 (((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB68, bitIndex2)) | v84(constB67, bitIndex2)) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB68, bitIndex2)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25203,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB68, bitIndex2)) | v84(constB67, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB68, bitIndex2))))),
% 136.10/86.76 inference(monotonicity,[status(thm)],[25202])).
% 136.10/86.76 tff(25204,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB68, bitIndex2)) | v84(constB67, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB68, bitIndex2)))),
% 136.10/86.76 inference(transitivity,[status(thm)],[25203, 25201])).
% 136.10/86.76 tff(25205,plain,
% 136.10/86.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | (~v84(constB68, bitIndex2)) | v84(constB67, bitIndex2))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25206,plain,
% 136.10/86.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex2)) | v84(constB67, bitIndex2) | (~v84(constB68, bitIndex2))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25205, 25204])).
% 136.10/86.76 tff(25207,plain,
% 136.10/86.76 (v94(constB68) | v84(constB67, bitIndex2)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25206, 805, 767, 24924, 25200])).
% 136.10/86.76 tff(25208,plain,
% 136.10/86.76 (v84(constB67, bitIndex2)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25207, 24986])).
% 136.10/86.76 tff(25209,assumption,(~v84(constB68, bitIndex1)), introduced(assumption)).
% 136.10/86.76 tff(25210,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | (~v84(constB67, bitIndex1)) | v84(constB68, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | (~v84(constB67, bitIndex1)) | v84(constB68, bitIndex1))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25211,plain,
% 136.10/86.76 (((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | v84(constB68, bitIndex1) | (~v84(constB67, bitIndex1))) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | (~v84(constB67, bitIndex1)) | v84(constB68, bitIndex1))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25212,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | v84(constB68, bitIndex1) | (~v84(constB67, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | (~v84(constB67, bitIndex1)) | v84(constB68, bitIndex1)))),
% 136.10/86.76 inference(monotonicity,[status(thm)],[25211])).
% 136.10/86.76 tff(25213,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | v84(constB68, bitIndex1) | (~v84(constB67, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | (~v84(constB67, bitIndex1)) | v84(constB68, bitIndex1))),
% 136.10/86.76 inference(transitivity,[status(thm)],[25212, 25210])).
% 136.10/86.76 tff(25214,plain,
% 136.10/86.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | v84(constB68, bitIndex1) | (~v84(constB67, bitIndex1)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25215,plain,
% 136.10/86.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex1)) | (~v84(constB67, bitIndex1)) | v84(constB68, bitIndex1)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25214, 25213])).
% 136.10/86.76 tff(25216,plain,
% 136.10/86.76 (v94(constB68) | (~v84(constB67, bitIndex1))),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25215, 777, 823, 24924, 25209])).
% 136.10/86.76 tff(25217,plain,
% 136.10/86.76 (~v84(constB67, bitIndex1)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25216, 24986])).
% 136.10/86.76 tff(25218,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB68, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB68, bitIndex0)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25219,plain,
% 136.10/86.76 (((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB68, bitIndex0)) | v84(constB67, bitIndex0)) <=> ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB68, bitIndex0)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25220,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB68, bitIndex0)) | v84(constB67, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB68, bitIndex0))))),
% 136.10/86.76 inference(monotonicity,[status(thm)],[25219])).
% 136.10/86.76 tff(25221,plain,
% 136.10/86.76 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB68, bitIndex0)) | v84(constB67, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB68, bitIndex0)))),
% 136.10/86.76 inference(transitivity,[status(thm)],[25220, 25218])).
% 136.10/86.76 tff(25222,plain,
% 136.10/86.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | (~v84(constB68, bitIndex0)) | v84(constB67, bitIndex0))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25223,plain,
% 136.10/86.76 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB67, constB68)) | v94(constB68) | (~less_3(bitIndex0)) | v84(constB67, bitIndex0) | (~v84(constB68, bitIndex0))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25222, 25221])).
% 136.10/86.76 tff(25224,plain,
% 136.10/86.76 ($false),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25223, 805, 795, 24924, 24986, 24976, 25005])).
% 136.10/86.76 tff(25225,plain,((~v84(constB68, bitIndex0)) | v94(constB68) | v84(constB67, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.76 tff(25226,plain,
% 136.10/86.76 (v84(constB67, bitIndex0)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25225, 24986, 25005])).
% 136.10/86.76 tff(25227,plain,
% 136.10/86.76 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB67, bitIndex1) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex2)) | v118(constB67))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB67, bitIndex1) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex2)) | v118(constB67))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25228,plain,
% 136.10/86.76 (((~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | (~v84(constB67, bitIndex2)) | v118(constB67)) <=> (v84(constB67, bitIndex1) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex2)) | v118(constB67))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25229,plain,
% 136.10/86.76 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | (~v84(constB67, bitIndex2)) | v118(constB67))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB67, bitIndex1) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex2)) | v118(constB67)))),
% 136.10/86.76 inference(monotonicity,[status(thm)],[25228])).
% 136.10/86.76 tff(25230,plain,
% 136.10/86.76 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | (~v84(constB67, bitIndex2)) | v118(constB67))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB67, bitIndex1) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex2)) | v118(constB67))),
% 136.10/86.76 inference(transitivity,[status(thm)],[25229, 25227])).
% 136.10/86.76 tff(25231,plain,
% 136.10/86.76 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB67, bitIndex0)) | v84(constB67, bitIndex1) | (~v84(constB67, bitIndex2)) | v118(constB67))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25232,plain,
% 136.10/86.76 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB67, bitIndex1) | (~v84(constB67, bitIndex0)) | (~v84(constB67, bitIndex2)) | v118(constB67)),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25231, 25230])).
% 136.10/86.76 tff(25233,plain,
% 136.10/86.76 (v118(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25232, 1018, 25226, 25217, 25208])).
% 136.10/86.76 tff(25234,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB67) | (~v118(constB67)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB67) | (~v118(constB67)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25235,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB67) | (~v118(constB67)))),
% 136.10/86.76 inference(quant_inst,[status(thm)],[])).
% 136.10/86.76 tff(25236,plain,
% 136.10/86.76 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB67) | (~v118(constB67))),
% 136.10/86.76 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 136.10/86.76 tff(25237,plain,
% 136.10/86.76 (v108(constB67)),
% 136.10/86.76 inference(unit_resolution,[status(thm)],[25236, 1004, 25233])).
% 136.10/86.76 tff(25238,plain,
% 136.10/86.76 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB67) | (~v108(constB67)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB67) | (~v108(constB67)))),
% 136.10/86.76 inference(rewrite,[status(thm)],[])).
% 136.10/86.76 tff(25239,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB67) | (~v108(constB67)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25240,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB67) | (~v108(constB67))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25239, 25238])).
% 136.10/86.77 tff(25241,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25240, 658, 25237, 25199])).
% 136.10/86.77 tff(25242,plain,(v94(constB68) | v84(constB68, bitIndex1) | (~v84(constB68, bitIndex2)) | (~v84(constB68, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25243,plain,
% 136.10/86.77 (v84(constB68, bitIndex1)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25242, 25146, 25004, 25156])).
% 136.10/86.77 tff(25244,assumption,(~v84(constB69, bitIndex1)), introduced(assumption)).
% 136.10/86.77 tff(25245,assumption,(v84(constB68, bitIndex1)), introduced(assumption)).
% 136.10/86.77 tff(25246,plain,
% 136.10/86.77 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB68, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB68, bitIndex1)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25247,plain,
% 136.10/86.77 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB68, bitIndex1)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25248,plain,
% 136.10/86.77 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB68, bitIndex1))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25247, 25246])).
% 136.10/86.77 tff(25249,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25248, 777, 823, 25012, 25024, 25245, 25244])).
% 136.10/86.77 tff(25250,plain,(v84(constB69, bitIndex1) | (~v84(constB68, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25251,plain,
% 136.10/86.77 (v84(constB69, bitIndex1)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25250, 25243])).
% 136.10/86.77 tff(25252,assumption,(~v84(constB69, bitIndex2)), introduced(assumption)).
% 136.10/86.77 tff(25253,plain,
% 136.10/86.77 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB68, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB68, bitIndex2)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25254,plain,
% 136.10/86.77 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB68, bitIndex2)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25255,plain,
% 136.10/86.77 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB68, constB69)) | v94(constB69) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB68, bitIndex2))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25254, 25253])).
% 136.10/86.77 tff(25256,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25255, 777, 767, 25012, 25024, 25252, 25200])).
% 136.10/86.77 tff(25257,plain,((~v84(constB68, bitIndex2)) | v84(constB69, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25258,plain,
% 136.10/86.77 (v84(constB69, bitIndex2)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25257, 25156])).
% 136.10/86.77 tff(25259,assumption,(v116(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25260,assumption,(v84(constB69, bitIndex2)), introduced(assumption)).
% 136.10/86.77 tff(25261,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB69, bitIndex2)) | (~v116(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB69, bitIndex2)) | (~v116(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25262,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB69, bitIndex2)) | (~v116(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25263,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB69, bitIndex2)) | (~v116(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25262, 25261])).
% 136.10/86.77 tff(25264,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25263, 1130, 25260, 25259])).
% 136.10/86.77 tff(25265,plain,((~v116(constB69)) | (~v84(constB69, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25266,plain,
% 136.10/86.77 (~v116(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25265, 25258])).
% 136.10/86.77 tff(25267,assumption,(~v124(constB69, bitIndex0)), introduced(assumption)).
% 136.10/86.77 tff(25268,assumption,(v84(constB69, bitIndex1)), introduced(assumption)).
% 136.10/86.77 tff(25269,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v172(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB69, bitIndex1)) | (~v172(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25270,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v172(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25271,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB69, bitIndex1)) | (~v172(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25270, 25269])).
% 136.10/86.77 tff(25272,plain,
% 136.10/86.77 (~v172(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25271, 2289, 25268])).
% 136.10/86.77 tff(25273,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB69)) | (~v84(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB69)) | (~v84(constB69, bitIndex1)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25274,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB69)) | (~v84(constB69, bitIndex1)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25275,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB69)) | (~v84(constB69, bitIndex1))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25274, 25273])).
% 136.10/86.77 tff(25276,plain,
% 136.10/86.77 (~v113(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25275, 1465, 25268])).
% 136.10/86.77 tff(25277,assumption,(~v113(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25278,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB69)) | v124(constB69, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB69)) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25279,plain,
% 136.10/86.77 (((~v115(constB69)) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB69)) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25280,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB69)) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB69)) | v124(constB69, bitIndex0)))),
% 136.10/86.77 inference(monotonicity,[status(thm)],[25279])).
% 136.10/86.77 tff(25281,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB69)) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB69)) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(transitivity,[status(thm)],[25280, 25278])).
% 136.10/86.77 tff(25282,plain,
% 136.10/86.77 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB69)) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b011(bitIndex0)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25283,plain,
% 136.10/86.77 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB69)) | v124(constB69, bitIndex0)),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25282, 25281])).
% 136.10/86.77 tff(25284,plain,
% 136.10/86.77 (~v115(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25283, 1148, 1193, 795, 25267])).
% 136.10/86.77 tff(25285,assumption,(~v172(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25286,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB69)) | v124(constB69, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB69)) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25287,plain,
% 136.10/86.77 (((~v118(constB69)) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB69)) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25288,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB69)) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB69)) | v124(constB69, bitIndex0)))),
% 136.10/86.77 inference(monotonicity,[status(thm)],[25287])).
% 136.10/86.77 tff(25289,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB69)) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB69)) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(transitivity,[status(thm)],[25288, 25286])).
% 136.10/86.77 tff(25290,plain,
% 136.10/86.77 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB69)) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b011(bitIndex0)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25291,plain,
% 136.10/86.77 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB69)) | v124(constB69, bitIndex0)),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25290, 25289])).
% 136.10/86.77 tff(25292,plain,
% 136.10/86.77 (~v118(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25291, 1148, 1145, 795, 25267])).
% 136.10/86.77 tff(25293,plain,
% 136.10/86.77 (~v116(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25265, 25260])).
% 136.10/86.77 tff(25294,assumption,(~v116(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25295,assumption,(~v115(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25296,assumption,(~v118(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25297,assumption,(~v145(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25298,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB69) | (~b001(bitIndex0)) | v113(constB69) | v118(constB69) | v172(constB69) | v116(constB69) | v115(constB69) | v124(constB69, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB69) | (~b001(bitIndex0)) | v113(constB69) | v118(constB69) | v172(constB69) | v116(constB69) | v115(constB69) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25299,plain,
% 136.10/86.77 ((v113(constB69) | v145(constB69) | v115(constB69) | v116(constB69) | v172(constB69) | v118(constB69) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB69) | (~b001(bitIndex0)) | v113(constB69) | v118(constB69) | v172(constB69) | v116(constB69) | v115(constB69) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25300,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB69) | v145(constB69) | v115(constB69) | v116(constB69) | v172(constB69) | v118(constB69) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB69) | (~b001(bitIndex0)) | v113(constB69) | v118(constB69) | v172(constB69) | v116(constB69) | v115(constB69) | v124(constB69, bitIndex0)))),
% 136.10/86.77 inference(monotonicity,[status(thm)],[25299])).
% 136.10/86.77 tff(25301,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB69) | v145(constB69) | v115(constB69) | v116(constB69) | v172(constB69) | v118(constB69) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB69) | (~b001(bitIndex0)) | v113(constB69) | v118(constB69) | v172(constB69) | v116(constB69) | v115(constB69) | v124(constB69, bitIndex0))),
% 136.10/86.77 inference(transitivity,[status(thm)],[25300, 25298])).
% 136.10/86.77 tff(25302,plain,
% 136.10/86.77 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB69) | v145(constB69) | v115(constB69) | v116(constB69) | v172(constB69) | v118(constB69) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~b001(bitIndex0)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25303,plain,
% 136.10/86.77 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB69) | (~b001(bitIndex0)) | v113(constB69) | v118(constB69) | v172(constB69) | v116(constB69) | v115(constB69) | v124(constB69, bitIndex0)),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25302, 25301])).
% 136.10/86.77 tff(25304,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25303, 1213, 1210, 795, 25297, 25277, 25267, 25285, 25296, 25295, 25294])).
% 136.10/86.77 tff(25305,plain,(v124(constB69, bitIndex0) | v145(constB69) | v113(constB69) | v172(constB69) | v118(constB69) | v115(constB69) | v116(constB69)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25306,plain,
% 136.10/86.77 (v145(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25305, 25293, 25267, 25292, 25285, 25284, 25277])).
% 136.10/86.77 tff(25307,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB69)) | (~v84(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB69)) | (~v84(constB69, bitIndex2)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25308,plain,
% 136.10/86.77 (((~v84(constB69, bitIndex2)) | (~v145(constB69))) <=> ((~v145(constB69)) | (~v84(constB69, bitIndex2)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25309,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex2)) | (~v145(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB69)) | (~v84(constB69, bitIndex2))))),
% 136.10/86.77 inference(monotonicity,[status(thm)],[25308])).
% 136.10/86.77 tff(25310,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex2)) | (~v145(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB69)) | (~v84(constB69, bitIndex2)))),
% 136.10/86.77 inference(transitivity,[status(thm)],[25309, 25307])).
% 136.10/86.77 tff(25311,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex2)) | (~v145(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25312,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB69)) | (~v84(constB69, bitIndex2))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 136.10/86.77 tff(25313,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25312, 725, 25306, 25260])).
% 136.10/86.77 tff(25314,plain,((~v84(constB69, bitIndex2)) | v124(constB69, bitIndex0) | v172(constB69) | v113(constB69)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25315,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25314, 25276, 25272, 25260, 25267])).
% 136.10/86.77 tff(25316,plain,(v124(constB69, bitIndex0) | (~v84(constB69, bitIndex2)) | (~v84(constB69, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25317,plain,
% 136.10/86.77 (v124(constB69, bitIndex0)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25316, 25251, 25258])).
% 136.10/86.77 tff(25318,assumption,(v124(constB69, bitIndex0)), introduced(assumption)).
% 136.10/86.77 tff(25319,assumption,(v113(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25320,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB69)) | (~v124(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25321,plain,
% 136.10/86.77 (((~v113(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25322,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB69)) | (~v124(constB69, bitIndex0))))),
% 136.10/86.77 inference(monotonicity,[status(thm)],[25321])).
% 136.10/86.77 tff(25323,plain,
% 136.10/86.77 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.77 inference(transitivity,[status(thm)],[25322, 25320])).
% 136.10/86.77 tff(25324,plain,
% 136.10/86.77 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b100(bitIndex0))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25325,plain,
% 136.10/86.77 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB69)) | (~v124(constB69, bitIndex0))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25324, 25323])).
% 136.10/86.77 tff(25326,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25325, 2386, 2186, 795, 25319, 25318])).
% 136.10/86.77 tff(25327,plain,((~v124(constB69, bitIndex0)) | (~v113(constB69))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25328,plain,
% 136.10/86.77 (~v113(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25327, 25317])).
% 136.10/86.77 tff(25329,assumption,(v145(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25330,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB69)) | (~v84(constB69, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB69)) | (~v84(constB69, bitIndex1)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25331,plain,
% 136.10/86.77 (((~v84(constB69, bitIndex1)) | (~v145(constB69))) <=> ((~v145(constB69)) | (~v84(constB69, bitIndex1)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25332,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v145(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB69)) | (~v84(constB69, bitIndex1))))),
% 136.10/86.77 inference(monotonicity,[status(thm)],[25331])).
% 136.10/86.77 tff(25333,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v145(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB69)) | (~v84(constB69, bitIndex1)))),
% 136.10/86.77 inference(transitivity,[status(thm)],[25332, 25330])).
% 136.10/86.77 tff(25334,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v145(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25335,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB69)) | (~v84(constB69, bitIndex1))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25334, 25333])).
% 136.10/86.77 tff(25336,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25335, 816, 25329, 25268])).
% 136.10/86.77 tff(25337,plain,((~v145(constB69)) | (~v84(constB69, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25338,plain,
% 136.10/86.77 (~v145(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25337, 25251])).
% 136.10/86.77 tff(25339,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB69) | v113(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB69) | v113(constB69) | (~v112(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25340,plain,
% 136.10/86.77 ((v113(constB69) | (~v112(constB69)) | v145(constB69)) <=> (v145(constB69) | v113(constB69) | (~v112(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25341,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB69) | (~v112(constB69)) | v145(constB69))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB69) | v113(constB69) | (~v112(constB69))))),
% 136.10/86.77 inference(monotonicity,[status(thm)],[25340])).
% 136.10/86.77 tff(25342,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB69) | (~v112(constB69)) | v145(constB69))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB69) | v113(constB69) | (~v112(constB69)))),
% 136.10/86.77 inference(transitivity,[status(thm)],[25341, 25339])).
% 136.10/86.77 tff(25343,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB69) | (~v112(constB69)) | v145(constB69))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25344,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB69) | v113(constB69) | (~v112(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25343, 25342])).
% 136.10/86.77 tff(25345,plain,
% 136.10/86.77 (~v112(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25344, 2894, 25338, 25328])).
% 136.10/86.77 tff(25346,plain,
% 136.10/86.77 (~v172(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25271, 2289, 25251])).
% 136.10/86.77 tff(25347,assumption,(~v112(constB69)), introduced(assumption)).
% 136.10/86.77 tff(25348,assumption,(v84(constB69, bitIndex0)), introduced(assumption)).
% 136.10/86.77 tff(25349,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB69, bitIndex0)) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB69, bitIndex0)) | (~v115(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25350,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB69, bitIndex0)) | (~v115(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25351,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB69, bitIndex0)) | (~v115(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25350, 25349])).
% 136.10/86.77 tff(25352,plain,
% 136.10/86.77 (~v115(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25351, 3011, 25348])).
% 136.10/86.77 tff(25353,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB69) | v115(constB69) | (~v111(constB69)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB69) | v115(constB69) | (~v111(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25354,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB69) | v115(constB69) | (~v111(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25355,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB69) | v115(constB69) | (~v111(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25354, 25353])).
% 136.10/86.77 tff(25356,plain,
% 136.10/86.77 (~v111(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25355, 2911, 25352, 25347])).
% 136.10/86.77 tff(25357,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB69, bitIndex0)) | (~v119(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB69, bitIndex0)) | (~v119(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25358,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB69, bitIndex0)) | (~v119(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25359,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB69, bitIndex0)) | (~v119(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25358, 25357])).
% 136.10/86.77 tff(25360,plain,
% 136.10/86.77 (~v119(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25359, 3173, 25348])).
% 136.10/86.77 tff(25361,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB69) | v119(constB69) | (~v107(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB69) | v119(constB69) | (~v107(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25362,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB69) | v119(constB69) | (~v107(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25363,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB69) | v119(constB69) | (~v107(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25362, 25361])).
% 136.10/86.77 tff(25364,plain,
% 136.10/86.77 (v108(constB69) | v119(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25363, 3195, 22918])).
% 136.10/86.77 tff(25365,plain,
% 136.10/86.77 (v108(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25364, 25360])).
% 136.10/86.77 tff(25366,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v118(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB69, bitIndex1)) | (~v118(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25367,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB69, bitIndex1)) | (~v118(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25368,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB69, bitIndex1)) | (~v118(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25367, 25366])).
% 136.10/86.77 tff(25369,plain,
% 136.10/86.77 (~v118(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25368, 2842, 25268])).
% 136.10/86.77 tff(25370,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB69) | v118(constB69) | (~v108(constB69)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB69) | v118(constB69) | (~v108(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25371,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB69) | v118(constB69) | (~v108(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25372,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB69) | v118(constB69) | (~v108(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25371, 25370])).
% 136.10/86.77 tff(25373,plain,
% 136.10/86.77 (v109(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25372, 2856, 25369, 25365])).
% 136.10/86.77 tff(25374,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB69)) | v172(constB69) | v110(constB69))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB69)) | v172(constB69) | v110(constB69))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25375,plain,
% 136.10/86.77 ((v110(constB69) | (~v109(constB69)) | v172(constB69)) <=> ((~v109(constB69)) | v172(constB69) | v110(constB69))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25376,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB69) | (~v109(constB69)) | v172(constB69))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB69)) | v172(constB69) | v110(constB69)))),
% 136.10/86.77 inference(monotonicity,[status(thm)],[25375])).
% 136.10/86.77 tff(25377,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB69) | (~v109(constB69)) | v172(constB69))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB69)) | v172(constB69) | v110(constB69))),
% 136.10/86.77 inference(transitivity,[status(thm)],[25376, 25374])).
% 136.10/86.77 tff(25378,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB69) | (~v109(constB69)) | v172(constB69))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25379,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB69)) | v172(constB69) | v110(constB69)),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25378, 25377])).
% 136.10/86.77 tff(25380,plain,
% 136.10/86.77 ((~v109(constB69)) | v110(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25379, 2871, 25285])).
% 136.10/86.77 tff(25381,plain,
% 136.10/86.77 (v110(constB69)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25380, 25373])).
% 136.10/86.77 tff(25382,plain,
% 136.10/86.77 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB69) | v116(constB69) | (~v110(constB69)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB69) | v116(constB69) | (~v110(constB69)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25383,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB69) | v116(constB69) | (~v110(constB69)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.77 tff(25384,plain,
% 136.10/86.77 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB69) | v116(constB69) | (~v110(constB69))),
% 136.10/86.77 inference(modus_ponens,[status(thm)],[25383, 25382])).
% 136.10/86.77 tff(25385,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25384, 2932, 25294, 25381, 25356])).
% 136.10/86.77 tff(25386,plain,(v112(constB69) | v116(constB69) | v172(constB69) | (~v107(constB69)) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25387,plain,
% 136.10/86.77 ($false),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25386, 25346, 25345, 25266, 22918, 25251, 25030])).
% 136.10/86.77 tff(25388,plain,(v94(constB64) | (~v107(constB69)) | v172(constB67)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.77 tff(25389,plain,
% 136.10/86.77 (v172(constB67)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25388, 24572, 22918])).
% 136.10/86.77 tff(25390,plain,
% 136.10/86.77 (v84(constB64, bitIndex1)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24650, 24572, 23918])).
% 136.10/86.77 tff(25391,plain,
% 136.10/86.77 (v84(constB65, bitIndex1)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24675, 25390])).
% 136.10/86.77 tff(25392,plain,
% 136.10/86.77 (~v113(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24758, 1465, 25391])).
% 136.10/86.77 tff(25393,plain,
% 136.10/86.77 (v84(constB64, bitIndex2)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24606, 24572, 24036])).
% 136.10/86.77 tff(25394,plain,
% 136.10/86.77 (v84(constB65, bitIndex2)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24683, 25393])).
% 136.10/86.77 tff(25395,plain,
% 136.10/86.77 (~v145(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24694, 25394])).
% 136.10/86.77 tff(25396,plain,
% 136.10/86.77 (v113(constB65) | (~v112(constB65))),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24766, 2894, 25395])).
% 136.10/86.77 tff(25397,plain,
% 136.10/86.77 (~v112(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25396, 25392])).
% 136.10/86.77 tff(25398,plain,
% 136.10/86.77 (v84(constB64, bitIndex0)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24704, 24572])).
% 136.10/86.77 tff(25399,plain,
% 136.10/86.77 (v84(constB65, bitIndex0)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24711, 25398])).
% 136.10/86.77 tff(25400,plain,
% 136.10/86.77 (~v115(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24818, 3011, 25399])).
% 136.10/86.77 tff(25401,plain,
% 136.10/86.77 (~v111(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24772, 2911, 25400, 25397])).
% 136.10/86.77 tff(25402,plain,
% 136.10/86.77 (~v116(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24808, 1130, 25394])).
% 136.10/86.77 tff(25403,plain,
% 136.10/86.77 (~v110(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24812, 2932, 25402, 25401])).
% 136.10/86.77 tff(25404,plain,
% 136.10/86.77 (~v172(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24796, 2289, 25391])).
% 136.10/86.77 tff(25405,plain,
% 136.10/86.77 ((~v109(constB65)) | v110(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24803, 2871, 25404])).
% 136.10/86.77 tff(25406,plain,
% 136.10/86.77 (~v109(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25405, 25403])).
% 136.10/86.77 tff(25407,plain,
% 136.10/86.77 (~v118(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24787, 2842, 25391])).
% 136.10/86.77 tff(25408,plain,
% 136.10/86.77 (v109(constB65) | (~v108(constB65))),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24791, 2856, 25407])).
% 136.10/86.77 tff(25409,plain,
% 136.10/86.77 (~v108(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25408, 25406])).
% 136.10/86.77 tff(25410,plain,
% 136.10/86.77 (~v119(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24777, 3173, 25399])).
% 136.10/86.77 tff(25411,plain,
% 136.10/86.77 (v108(constB65) | (~v107(constB65))),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24782, 3195, 25410])).
% 136.10/86.77 tff(25412,plain,
% 136.10/86.77 (~v107(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25411, 25409])).
% 136.10/86.77 tff(25413,plain,
% 136.10/86.77 (~v106(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24753, 3161, 25412])).
% 136.10/86.77 tff(25414,plain,
% 136.10/86.77 (~v102(constB65)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24749, 25413])).
% 136.10/86.77 tff(25415,plain,
% 136.10/86.77 (~v104(constB66)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24737, 25414])).
% 136.10/86.77 tff(25416,plain,
% 136.10/86.77 (~v94(constB66)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[24729, 25415])).
% 136.10/86.77 tff(25417,plain,
% 136.10/86.77 (v84(constB66, bitIndex1)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25088, 25416, 25391])).
% 136.10/86.77 tff(25418,plain,
% 136.10/86.77 (v84(constB67, bitIndex1)),
% 136.10/86.77 inference(unit_resolution,[status(thm)],[25096, 25417])).
% 136.10/86.77 tff(25419,plain,
% 136.10/86.77 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB67, bitIndex1)) | (~v172(constB67)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB67, bitIndex1)) | (~v172(constB67)))),
% 136.10/86.77 inference(rewrite,[status(thm)],[])).
% 136.10/86.77 tff(25420,plain,
% 136.10/86.77 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB67, bitIndex1)) | (~v172(constB67)))),
% 136.10/86.77 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25421,plain,
% 136.10/86.78 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB67, bitIndex1)) | (~v172(constB67))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25420, 25419])).
% 136.10/86.78 tff(25422,plain,
% 136.10/86.78 ($false),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25421, 2289, 25418, 25389])).
% 136.10/86.78 tff(25423,plain,(v94(constB60) | (~v107(constB69))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.78 tff(25424,plain,
% 136.10/86.78 (~v107(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25423, 22917])).
% 136.10/86.78 tff(25425,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB69) | (~v106(constB69)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB69) | (~v106(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25426,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB69) | (~v106(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25427,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB69) | (~v106(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25426, 25425])).
% 136.10/86.78 tff(25428,plain,
% 136.10/86.78 (~v106(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25427, 3161, 25424])).
% 136.10/86.78 tff(25429,assumption,(v26(constB69)), introduced(assumption)).
% 136.10/86.78 tff(25430,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25431,plain,
% 136.10/86.78 ($false),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25430, 1172, 25429])).
% 136.10/86.78 tff(25432,plain,(~v26(constB69)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.78 tff(25433,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB69)) | v26(constB69) | v106(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB69)) | v26(constB69) | v106(constB69))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25434,plain,
% 136.10/86.78 ((v26(constB69) | v106(constB69) | (~v102(constB69))) <=> ((~v102(constB69)) | v26(constB69) | v106(constB69))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25435,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB69) | v106(constB69) | (~v102(constB69)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB69)) | v26(constB69) | v106(constB69)))),
% 136.10/86.78 inference(monotonicity,[status(thm)],[25434])).
% 136.10/86.78 tff(25436,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB69) | v106(constB69) | (~v102(constB69)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB69)) | v26(constB69) | v106(constB69))),
% 136.10/86.78 inference(transitivity,[status(thm)],[25435, 25433])).
% 136.10/86.78 tff(25437,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB69) | v106(constB69) | (~v102(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25438,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB69)) | v26(constB69) | v106(constB69)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25437, 25436])).
% 136.10/86.78 tff(25439,plain,
% 136.10/86.78 ((~v102(constB69)) | v106(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25438, 3146, 25432])).
% 136.10/86.78 tff(25440,plain,
% 136.10/86.78 (~v102(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25439, 25428])).
% 136.10/86.78 tff(25441,plain,
% 136.10/86.78 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25442,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_69_1')).
% 136.10/86.78 tff(25443,plain,
% 136.10/86.78 (nextState(constB69, constB70)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25442, 25441])).
% 136.10/86.78 tff(25444,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB69, constB70)) | (~v104(constB70)) | v102(constB69))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB69, constB70)) | (~v104(constB70)) | v102(constB69))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25445,plain,
% 136.10/86.78 (((~nextState(constB69, constB70)) | v102(constB69) | (~v104(constB70))) <=> ((~nextState(constB69, constB70)) | (~v104(constB70)) | v102(constB69))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25446,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB69, constB70)) | v102(constB69) | (~v104(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB69, constB70)) | (~v104(constB70)) | v102(constB69)))),
% 136.10/86.78 inference(monotonicity,[status(thm)],[25445])).
% 136.10/86.78 tff(25447,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB69, constB70)) | v102(constB69) | (~v104(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB69, constB70)) | (~v104(constB70)) | v102(constB69))),
% 136.10/86.78 inference(transitivity,[status(thm)],[25446, 25444])).
% 136.10/86.78 tff(25448,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB69, constB70)) | v102(constB69) | (~v104(constB70)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25449,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB69, constB70)) | (~v104(constB70)) | v102(constB69)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25448, 25447])).
% 136.10/86.78 tff(25450,plain,
% 136.10/86.78 ((~v104(constB70)) | v102(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25449, 3128, 25443])).
% 136.10/86.78 tff(25451,plain,
% 136.10/86.78 (~v104(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25450, 25440])).
% 136.10/86.78 tff(25452,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v94(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v94(constB70)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25453,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v94(constB70)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25454,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v94(constB70))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25453, 25452])).
% 136.10/86.78 tff(25455,plain,
% 136.10/86.78 (v104(constB70) | (~v94(constB70))),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25454, 3113, 25443])).
% 136.10/86.78 tff(25456,plain,
% 136.10/86.78 (~v94(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25455, 25451])).
% 136.10/86.78 tff(25457,assumption,(~v94(constB70)), introduced(assumption)).
% 136.10/86.78 tff(25458,assumption,(~v84(constB70, bitIndex1)), introduced(assumption)).
% 136.10/86.78 tff(25459,assumption,(~v84(constB70, bitIndex0)), introduced(assumption)).
% 136.10/86.78 tff(25460,plain,
% 136.10/86.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB69, bitIndex0)) | v84(constB70, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB69, bitIndex0)) | v84(constB70, bitIndex0))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25461,plain,
% 136.10/86.78 (((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v84(constB69, bitIndex0))) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB69, bitIndex0)) | v84(constB70, bitIndex0))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25462,plain,
% 136.10/86.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v84(constB69, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB69, bitIndex0)) | v84(constB70, bitIndex0)))),
% 136.10/86.78 inference(monotonicity,[status(thm)],[25461])).
% 136.10/86.78 tff(25463,plain,
% 136.10/86.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v84(constB69, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB69, bitIndex0)) | v84(constB70, bitIndex0))),
% 136.10/86.78 inference(transitivity,[status(thm)],[25462, 25460])).
% 136.10/86.78 tff(25464,plain,
% 136.10/86.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v84(constB69, bitIndex0)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25465,plain,
% 136.10/86.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB69, bitIndex0)) | v84(constB70, bitIndex0)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25464, 25463])).
% 136.10/86.78 tff(25466,plain,
% 136.10/86.78 (~v84(constB69, bitIndex0)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25465, 777, 795, 25443, 25457, 25459])).
% 136.10/86.78 tff(25467,plain,
% 136.10/86.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB69, bitIndex1)) | v84(constB70, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB69, bitIndex1)) | v84(constB70, bitIndex1))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25468,plain,
% 136.10/86.78 (((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v84(constB69, bitIndex1))) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB69, bitIndex1)) | v84(constB70, bitIndex1))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25469,plain,
% 136.10/86.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v84(constB69, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB69, bitIndex1)) | v84(constB70, bitIndex1)))),
% 136.10/86.78 inference(monotonicity,[status(thm)],[25468])).
% 136.10/86.78 tff(25470,plain,
% 136.10/86.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v84(constB69, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB69, bitIndex1)) | v84(constB70, bitIndex1))),
% 136.10/86.78 inference(transitivity,[status(thm)],[25469, 25467])).
% 136.10/86.78 tff(25471,plain,
% 136.10/86.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v84(constB69, bitIndex1)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25472,plain,
% 136.10/86.78 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB69, bitIndex1)) | v84(constB70, bitIndex1)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25471, 25470])).
% 136.10/86.78 tff(25473,plain,
% 136.10/86.78 (~v84(constB69, bitIndex1)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25472, 777, 823, 25443, 25457, 25458])).
% 136.10/86.78 tff(25474,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25475,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25476,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB69) | (~nextState(constB69, constB70)) | (~v98(constB70))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25475, 25474])).
% 136.10/86.78 tff(25477,plain,
% 136.10/86.78 (~v98(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25476, 541, 25443, 25009])).
% 136.10/86.78 tff(25478,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25479,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB69, constB70)) | v96(constB70) | v98(constB70))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25480,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB69, constB70)) | v96(constB70) | v98(constB70)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25479, 25478])).
% 136.10/86.78 tff(25481,plain,
% 136.10/86.78 (v96(constB70) | v98(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25480, 555, 25443])).
% 136.10/86.78 tff(25482,plain,
% 136.10/86.78 (v96(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25481, 25477])).
% 136.10/86.78 tff(25483,plain,
% 136.10/86.78 (v1(constB70) <=> v1(constB70)),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25484,axiom,(v1(constB70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_70_1')).
% 136.10/86.78 tff(25485,plain,
% 136.10/86.78 (v1(constB70)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25484, 25483])).
% 136.10/86.78 tff(25486,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25487,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25488,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB69, constB70)) | v95(constB70) | (~v96(constB70)) | (~v1(constB70))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25487, 25486])).
% 136.10/86.78 tff(25489,plain,
% 136.10/86.78 (v95(constB70) | (~v96(constB70))),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25488, 573, 25443, 25485])).
% 136.10/86.78 tff(25490,plain,
% 136.10/86.78 (v95(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25489, 25482])).
% 136.10/86.78 tff(25491,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25492,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25493,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB69, constB70)) | (~v95(constB70)) | (~v104(constB70)) | v94(constB70)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25492, 25491])).
% 136.10/86.78 tff(25494,plain,
% 136.10/86.78 ((~v95(constB70)) | (~v104(constB70)) | v94(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25493, 588, 25443])).
% 136.10/86.78 tff(25495,plain,
% 136.10/86.78 ((~v104(constB70)) | v94(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25494, 25490])).
% 136.10/86.78 tff(25496,plain,
% 136.10/86.78 (~v104(constB70)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25495, 25457])).
% 136.10/86.78 tff(25497,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25498,plain,
% 136.10/86.78 (((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70)) <=> ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25499,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))))),
% 136.10/86.78 inference(monotonicity,[status(thm)],[25498])).
% 136.10/86.78 tff(25500,plain,
% 136.10/86.78 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69)))),
% 136.10/86.78 inference(transitivity,[status(thm)],[25499, 25497])).
% 136.10/86.78 tff(25501,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB69, constB70)) | (~v102(constB69)) | v104(constB70))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25502,plain,
% 136.10/86.78 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB69, constB70)) | v104(constB70) | (~v102(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25501, 25500])).
% 136.10/86.78 tff(25503,plain,
% 136.10/86.78 (v104(constB70) | (~v102(constB69))),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25502, 604, 25443])).
% 136.10/86.78 tff(25504,plain,
% 136.10/86.78 (~v102(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25503, 25496])).
% 136.10/86.78 tff(25505,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB69) | (~v106(constB69)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB69) | (~v106(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25506,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB69) | (~v106(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25507,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB69) | (~v106(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25506, 25505])).
% 136.10/86.78 tff(25508,plain,
% 136.10/86.78 (~v106(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25507, 619, 25504])).
% 136.10/86.78 tff(25509,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB69) | (~v26(constB69)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB69) | (~v26(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25510,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB69) | (~v26(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25511,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB69) | (~v26(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25510, 25509])).
% 136.10/86.78 tff(25512,plain,
% 136.10/86.78 (~v26(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25511, 630, 25504])).
% 136.10/86.78 tff(25513,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | v106(constB69) | (~v107(constB69)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25514,plain,
% 136.10/86.78 ((v26(constB69) | (~v107(constB69)) | v106(constB69)) <=> (v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25515,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | v106(constB69) | (~v107(constB69))))),
% 136.10/86.78 inference(monotonicity,[status(thm)],[25514])).
% 136.10/86.78 tff(25516,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69)))),
% 136.10/86.78 inference(transitivity,[status(thm)],[25515, 25513])).
% 136.10/86.78 tff(25517,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB69) | (~v107(constB69)) | v106(constB69))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25518,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB69) | v106(constB69) | (~v107(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25517, 25516])).
% 136.10/86.78 tff(25519,plain,
% 136.10/86.78 (~v107(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25518, 644, 25512, 25508])).
% 136.10/86.78 tff(25520,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB69) | (~v108(constB69)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB69) | (~v108(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25521,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB69) | (~v108(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25522,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB69) | (~v108(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25521, 25520])).
% 136.10/86.78 tff(25523,plain,
% 136.10/86.78 (~v108(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25522, 658, 25519])).
% 136.10/86.78 tff(25524,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB69) | (~v109(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB69) | (~v109(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25525,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB69) | (~v109(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25526,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB69) | (~v109(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25525, 25524])).
% 136.10/86.78 tff(25527,plain,
% 136.10/86.78 (~v109(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25526, 669, 25523])).
% 136.10/86.78 tff(25528,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB69) | (~v110(constB69)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB69) | (~v110(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25529,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB69) | (~v110(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25530,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB69) | (~v110(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25529, 25528])).
% 136.10/86.78 tff(25531,plain,
% 136.10/86.78 (~v110(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25530, 680, 25527])).
% 136.10/86.78 tff(25532,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB69) | (~v111(constB69)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB69) | (~v111(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25533,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB69) | (~v111(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25534,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB69) | (~v111(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25533, 25532])).
% 136.10/86.78 tff(25535,plain,
% 136.10/86.78 (~v111(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25534, 691, 25531])).
% 136.10/86.78 tff(25536,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB69) | (~v112(constB69)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB69) | (~v112(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25537,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB69) | (~v112(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25538,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB69) | (~v112(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25537, 25536])).
% 136.10/86.78 tff(25539,plain,
% 136.10/86.78 (~v112(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25538, 702, 25535])).
% 136.10/86.78 tff(25540,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB69) | (~v113(constB69)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB69) | (~v113(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25541,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB69) | (~v113(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25542,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB69) | (~v113(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25541, 25540])).
% 136.10/86.78 tff(25543,plain,
% 136.10/86.78 (~v113(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25542, 969, 25539])).
% 136.10/86.78 tff(25544,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB69) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB69) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25545,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB69) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25546,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB69) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25545, 25544])).
% 136.10/86.78 tff(25547,plain,
% 136.10/86.78 (v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25546, 983, 25543])).
% 136.10/86.78 tff(25548,plain,
% 136.10/86.78 ($false),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25547, 25473, 25466, 25252])).
% 136.10/86.78 tff(25549,plain,(v84(constB69, bitIndex2) | v94(constB70) | v84(constB70, bitIndex1) | v84(constB70, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.78 tff(25550,plain,
% 136.10/86.78 (v84(constB69, bitIndex2)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25549, 25459, 25458, 25457])).
% 136.10/86.78 tff(25551,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB69) | (~v172(constB69)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB69) | (~v172(constB69)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25552,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB69) | (~v172(constB69)))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25553,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB69) | (~v172(constB69))),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25552, 25551])).
% 136.10/86.78 tff(25554,plain,
% 136.10/86.78 (~v172(constB69)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25553, 1033, 25527])).
% 136.10/86.78 tff(25555,plain,
% 136.10/86.78 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25556,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69))),
% 136.10/86.78 inference(quant_inst,[status(thm)],[])).
% 136.10/86.78 tff(25557,plain,
% 136.10/86.78 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69)),
% 136.10/86.78 inference(modus_ponens,[status(thm)],[25556, 25555])).
% 136.10/86.78 tff(25558,plain,
% 136.10/86.78 (v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2))),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25557, 1047, 25554])).
% 136.10/86.78 tff(25559,plain,
% 136.10/86.78 ($false),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25558, 25466, 25473, 25550])).
% 136.10/86.78 tff(25560,plain,(v84(constB70, bitIndex0) | v94(constB70) | v84(constB70, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.78 tff(25561,plain,
% 136.10/86.78 (v84(constB70, bitIndex0)),
% 136.10/86.78 inference(unit_resolution,[status(thm)],[25560, 25458, 25457])).
% 136.10/86.78 tff(25562,plain,
% 136.10/86.78 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB70, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB70, bitIndex0)))),
% 136.10/86.78 inference(rewrite,[status(thm)],[])).
% 136.10/86.78 tff(25563,plain,
% 136.10/86.78 (((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB70, bitIndex0)) | v84(constB69, bitIndex0)) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB70, bitIndex0)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25564,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB70, bitIndex0)) | v84(constB69, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB70, bitIndex0))))),
% 136.10/86.79 inference(monotonicity,[status(thm)],[25563])).
% 136.10/86.79 tff(25565,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB70, bitIndex0)) | v84(constB69, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB70, bitIndex0)))),
% 136.10/86.79 inference(transitivity,[status(thm)],[25564, 25562])).
% 136.10/86.79 tff(25566,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | (~v84(constB70, bitIndex0)) | v84(constB69, bitIndex0))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25567,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex0)) | v84(constB69, bitIndex0) | (~v84(constB70, bitIndex0))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25566, 25565])).
% 136.10/86.79 tff(25568,plain,
% 136.10/86.79 (v84(constB69, bitIndex0)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25567, 805, 795, 25443, 25457, 25561])).
% 136.10/86.79 tff(25569,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB69) | (~v118(constB69)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB69) | (~v118(constB69)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25570,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB69) | (~v118(constB69)))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25571,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB69) | (~v118(constB69))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25570, 25569])).
% 136.10/86.79 tff(25572,plain,
% 136.10/86.79 (~v118(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25571, 1004, 25523])).
% 136.10/86.79 tff(25573,plain,
% 136.10/86.79 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v118(constB69))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v118(constB69))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25574,plain,
% 136.10/86.79 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v118(constB69))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25575,plain,
% 136.10/86.79 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v118(constB69)),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25574, 25573])).
% 136.10/86.79 tff(25576,plain,
% 136.10/86.79 ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2))),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25575, 1018, 25572])).
% 136.10/86.79 tff(25577,plain,
% 136.10/86.79 (~v84(constB69, bitIndex2)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25576, 25473, 25568])).
% 136.10/86.79 tff(25578,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB69) | (~v145(constB69)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB69) | (~v145(constB69)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25579,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB69) | (~v145(constB69)))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25580,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB69) | (~v145(constB69))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25579, 25578])).
% 136.10/86.79 tff(25581,plain,
% 136.10/86.79 (~v145(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25580, 713, 25539])).
% 136.10/86.79 tff(25582,plain,
% 136.10/86.79 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB69) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB69) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25583,plain,
% 136.10/86.79 (((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2) | v145(constB69)) <=> (v145(constB69) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25584,plain,
% 136.10/86.79 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2) | v145(constB69))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB69) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2)))),
% 136.10/86.79 inference(monotonicity,[status(thm)],[25583])).
% 136.10/86.79 tff(25585,plain,
% 136.10/86.79 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2) | v145(constB69))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB69) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2))),
% 136.10/86.79 inference(transitivity,[status(thm)],[25584, 25582])).
% 136.10/86.79 tff(25586,plain,
% 136.10/86.79 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2) | v145(constB69))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25587,plain,
% 136.10/86.79 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB69) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2)),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25586, 25585])).
% 136.10/86.79 tff(25588,plain,
% 136.10/86.79 ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex2)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25587, 865, 25581])).
% 136.10/86.79 tff(25589,plain,
% 136.10/86.79 ($false),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25588, 25577, 25473, 25568])).
% 136.10/86.79 tff(25590,plain,(v84(constB70, bitIndex1) | v94(constB70)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.79 tff(25591,plain,
% 136.10/86.79 (v84(constB70, bitIndex1)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25590, 25457])).
% 136.10/86.79 tff(25592,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB70, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB70, bitIndex1)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25593,plain,
% 136.10/86.79 (((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB70, bitIndex1)) | v84(constB69, bitIndex1)) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB70, bitIndex1)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25594,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB70, bitIndex1)) | v84(constB69, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB70, bitIndex1))))),
% 136.10/86.79 inference(monotonicity,[status(thm)],[25593])).
% 136.10/86.79 tff(25595,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB70, bitIndex1)) | v84(constB69, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB70, bitIndex1)))),
% 136.10/86.79 inference(transitivity,[status(thm)],[25594, 25592])).
% 136.10/86.79 tff(25596,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | (~v84(constB70, bitIndex1)) | v84(constB69, bitIndex1))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25597,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex1)) | v84(constB69, bitIndex1) | (~v84(constB70, bitIndex1))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25596, 25595])).
% 136.10/86.79 tff(25598,plain,
% 136.10/86.79 (v84(constB69, bitIndex1)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25597, 805, 823, 25443, 25457, 25591])).
% 136.10/86.79 tff(25599,assumption,(~v84(constB70, bitIndex2)), introduced(assumption)).
% 136.10/86.79 tff(25600,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB69, bitIndex2)) | v84(constB70, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB69, bitIndex2)) | v84(constB70, bitIndex2))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25601,plain,
% 136.10/86.79 (((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB70, bitIndex2) | (~v84(constB69, bitIndex2))) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB69, bitIndex2)) | v84(constB70, bitIndex2))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25602,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB70, bitIndex2) | (~v84(constB69, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB69, bitIndex2)) | v84(constB70, bitIndex2)))),
% 136.10/86.79 inference(monotonicity,[status(thm)],[25601])).
% 136.10/86.79 tff(25603,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB70, bitIndex2) | (~v84(constB69, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB69, bitIndex2)) | v84(constB70, bitIndex2))),
% 136.10/86.79 inference(transitivity,[status(thm)],[25602, 25600])).
% 136.10/86.79 tff(25604,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB70, bitIndex2) | (~v84(constB69, bitIndex2)))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25605,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB69, bitIndex2)) | v84(constB70, bitIndex2)),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25604, 25603])).
% 136.10/86.79 tff(25606,plain,
% 136.10/86.79 (~v84(constB69, bitIndex2)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25605, 777, 767, 25443, 25457, 25599])).
% 136.10/86.79 tff(25607,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB69) | (~v116(constB69)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB69) | (~v116(constB69)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25608,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB69) | (~v116(constB69)))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25609,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB69) | (~v116(constB69))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25608, 25607])).
% 136.10/86.79 tff(25610,plain,
% 136.10/86.79 (~v116(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25609, 934, 25531])).
% 136.10/86.79 tff(25611,plain,
% 136.10/86.79 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v116(constB69))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v116(constB69))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25612,plain,
% 136.10/86.79 (((~v84(constB69, bitIndex0)) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v116(constB69)) <=> ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v116(constB69))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25613,plain,
% 136.10/86.79 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB69, bitIndex0)) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v116(constB69))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v116(constB69)))),
% 136.10/86.79 inference(monotonicity,[status(thm)],[25612])).
% 136.10/86.79 tff(25614,plain,
% 136.10/86.79 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB69, bitIndex0)) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v116(constB69))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v116(constB69))),
% 136.10/86.79 inference(transitivity,[status(thm)],[25613, 25611])).
% 136.10/86.79 tff(25615,plain,
% 136.10/86.79 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB69, bitIndex0)) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v116(constB69))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25616,plain,
% 136.10/86.79 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v116(constB69)),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25615, 25614])).
% 136.10/86.79 tff(25617,plain,
% 136.10/86.79 ((~v84(constB69, bitIndex0)) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1))),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25616, 1076, 25610])).
% 136.10/86.79 tff(25618,plain,
% 136.10/86.79 (~v84(constB69, bitIndex0)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25617, 25606, 25598])).
% 136.10/86.79 tff(25619,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB69) | (~v115(constB69)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB69) | (~v115(constB69)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25620,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB69) | (~v115(constB69)))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25621,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB69) | (~v115(constB69))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25620, 25619])).
% 136.10/86.79 tff(25622,plain,
% 136.10/86.79 (~v115(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25621, 945, 25535])).
% 136.10/86.79 tff(25623,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v115(constB69))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v115(constB69))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25624,plain,
% 136.10/86.79 ((v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69)) <=> (v84(constB69, bitIndex0) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v115(constB69))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25625,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v115(constB69)))),
% 136.10/86.79 inference(monotonicity,[status(thm)],[25624])).
% 136.10/86.79 tff(25626,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v115(constB69))),
% 136.10/86.79 inference(transitivity,[status(thm)],[25625, 25623])).
% 136.10/86.79 tff(25627,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | v84(constB69, bitIndex2) | v115(constB69))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25628,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB69, bitIndex0) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1)) | v115(constB69)),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25627, 25626])).
% 136.10/86.79 tff(25629,plain,
% 136.10/86.79 (v84(constB69, bitIndex0) | v84(constB69, bitIndex2) | (~v84(constB69, bitIndex1))),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25628, 1095, 25622])).
% 136.10/86.79 tff(25630,plain,
% 136.10/86.79 ($false),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25629, 25618, 25606, 25598])).
% 136.10/86.79 tff(25631,plain,(v94(constB70) | v84(constB70, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.79 tff(25632,plain,
% 136.10/86.79 (v84(constB70, bitIndex2)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25631, 25457])).
% 136.10/86.79 tff(25633,assumption,(~v84(constB71, bitIndex2)), introduced(assumption)).
% 136.10/86.79 tff(25634,assumption,(v84(constB70, bitIndex2)), introduced(assumption)).
% 136.10/86.79 tff(25635,plain,
% 136.10/86.79 ((~v1(constB71)) <=> (~v1(constB71))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25636,axiom,(~v1(constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_71_1_1')).
% 136.10/86.79 tff(25637,plain,
% 136.10/86.79 (~v1(constB71)),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25636, 25635])).
% 136.10/86.79 tff(25638,plain,
% 136.10/86.79 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25639,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_70_1')).
% 136.10/86.79 tff(25640,plain,
% 136.10/86.79 (nextState(constB70, constB71)),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25639, 25638])).
% 136.10/86.79 tff(25641,plain,
% 136.10/86.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25642,plain,
% 136.10/86.79 (((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71)) <=> (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25643,plain,
% 136.10/86.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))))),
% 136.10/86.79 inference(monotonicity,[status(thm)],[25642])).
% 136.10/86.79 tff(25644,plain,
% 136.10/86.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71)))),
% 136.10/86.79 inference(transitivity,[status(thm)],[25643, 25641])).
% 136.10/86.79 tff(25645,plain,
% 136.10/86.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB70, constB71)) | (~v95(constB71)) | v1(constB71))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25646,plain,
% 136.10/86.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB71) | (~nextState(constB70, constB71)) | (~v95(constB71))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25645, 25644])).
% 136.10/86.79 tff(25647,plain,
% 136.10/86.79 (~v95(constB71)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25646, 742, 25640, 25637])).
% 136.10/86.79 tff(25648,plain,
% 136.10/86.79 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25649,plain,
% 136.10/86.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71)))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25650,plain,
% 136.10/86.79 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB70, constB71)) | v95(constB71) | (~v94(constB71))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25649, 25648])).
% 136.10/86.79 tff(25651,plain,
% 136.10/86.79 (v95(constB71) | (~v94(constB71))),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25650, 759, 25640])).
% 136.10/86.79 tff(25652,plain,
% 136.10/86.79 (~v94(constB71)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25651, 25647])).
% 136.10/86.79 tff(25653,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB70, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB70, bitIndex2)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25654,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB70, bitIndex2)))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25655,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB70, bitIndex2))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25654, 25653])).
% 136.10/86.79 tff(25656,plain,
% 136.10/86.79 ($false),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25655, 777, 767, 25640, 25652, 25634, 25633])).
% 136.10/86.79 tff(25657,plain,(v84(constB71, bitIndex2) | (~v84(constB70, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.79 tff(25658,plain,
% 136.10/86.79 (v84(constB71, bitIndex2)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25657, 25632])).
% 136.10/86.79 tff(25659,plain,
% 136.10/86.79 (v106(constB69) | (~v107(constB69))),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25518, 644, 25432])).
% 136.10/86.79 tff(25660,plain,
% 136.10/86.79 (~v107(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25659, 25508])).
% 136.10/86.79 tff(25661,plain,
% 136.10/86.79 (~v108(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25522, 658, 25660])).
% 136.10/86.79 tff(25662,plain,
% 136.10/86.79 (~v118(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25571, 1004, 25661])).
% 136.10/86.79 tff(25663,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB69) | (~v119(constB69)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB69) | (~v119(constB69)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25664,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB69) | (~v119(constB69)))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25665,plain,
% 136.10/86.79 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB69) | (~v119(constB69))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25664, 25663])).
% 136.10/86.79 tff(25666,plain,
% 136.10/86.79 (~v119(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25665, 1927, 25660])).
% 136.10/86.79 tff(25667,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB70, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB70, bitIndex2)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25668,plain,
% 136.10/86.79 (((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB70, bitIndex2)) | v84(constB69, bitIndex2)) <=> ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB70, bitIndex2)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25669,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB70, bitIndex2)) | v84(constB69, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB70, bitIndex2))))),
% 136.10/86.79 inference(monotonicity,[status(thm)],[25668])).
% 136.10/86.79 tff(25670,plain,
% 136.10/86.79 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB70, bitIndex2)) | v84(constB69, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB70, bitIndex2)))),
% 136.10/86.79 inference(transitivity,[status(thm)],[25669, 25667])).
% 136.10/86.79 tff(25671,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | (~v84(constB70, bitIndex2)) | v84(constB69, bitIndex2))),
% 136.10/86.79 inference(quant_inst,[status(thm)],[])).
% 136.10/86.79 tff(25672,plain,
% 136.10/86.79 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB69, constB70)) | v94(constB70) | (~less_3(bitIndex2)) | v84(constB69, bitIndex2) | (~v84(constB70, bitIndex2))),
% 136.10/86.79 inference(modus_ponens,[status(thm)],[25671, 25670])).
% 136.10/86.79 tff(25673,plain,
% 136.10/86.79 ($false),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25672, 805, 767, 25443, 25457, 25632, 25252])).
% 136.10/86.79 tff(25674,plain,(v94(constB70) | v84(constB69, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.79 tff(25675,plain,
% 136.10/86.79 (v84(constB69, bitIndex2)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25674, 25457])).
% 136.10/86.79 tff(25676,plain,
% 136.10/86.79 (~v119(constB69)),
% 136.10/86.79 inference(unit_resolution,[status(thm)],[25665, 1927, 25519])).
% 136.10/86.79 tff(25677,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB69, bitIndex0) | v119(constB69) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB69, bitIndex0) | v119(constB69) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25678,plain,
% 136.10/86.79 ((v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2)) | v119(constB69)) <=> (v84(constB69, bitIndex0) | v119(constB69) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2)))),
% 136.10/86.79 inference(rewrite,[status(thm)],[])).
% 136.10/86.79 tff(25679,plain,
% 136.10/86.79 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2)) | v119(constB69))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB69, bitIndex0) | v119(constB69) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2))))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25678])).
% 136.10/86.80 tff(25680,plain,
% 136.10/86.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2)) | v119(constB69))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB69, bitIndex0) | v119(constB69) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2)))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25679, 25677])).
% 136.10/86.80 tff(25681,plain,
% 136.10/86.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB69, bitIndex0) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2)) | v119(constB69))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25682,plain,
% 136.10/86.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB69, bitIndex0) | v119(constB69) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25681, 25680])).
% 136.10/86.80 tff(25683,plain,
% 136.10/86.80 (v119(constB69) | (~v84(constB69, bitIndex1)) | (~v84(constB69, bitIndex2))),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25682, 1910, 25006])).
% 136.10/86.80 tff(25684,plain,
% 136.10/86.80 (~v84(constB69, bitIndex1)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25683, 25676, 25675])).
% 136.10/86.80 tff(25685,plain,
% 136.10/86.80 (v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)) | v172(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25557, 1047, 25006])).
% 136.10/86.80 tff(25686,plain,
% 136.10/86.80 (v172(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25685, 25684, 25675])).
% 136.10/86.80 tff(25687,plain,
% 136.10/86.80 ($false),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25553, 1033, 25686, 25527])).
% 136.10/86.80 tff(25688,plain,(v94(constB70) | v84(constB69, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.80 tff(25689,plain,
% 136.10/86.80 (v84(constB69, bitIndex0)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25688, 25457])).
% 136.10/86.80 tff(25690,plain,
% 136.10/86.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB69, bitIndex0)) | (~v172(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB69, bitIndex0)) | (~v172(constB69)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25691,plain,
% 136.10/86.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB69, bitIndex0)) | (~v172(constB69)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25692,plain,
% 136.10/86.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB69, bitIndex0)) | (~v172(constB69))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25691, 25690])).
% 136.10/86.80 tff(25693,plain,
% 136.10/86.80 (~v172(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25692, 7708, 25689])).
% 136.10/86.80 tff(25694,assumption,(v145(constB71)), introduced(assumption)).
% 136.10/86.80 tff(25695,plain,
% 136.10/86.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB71)) | v84(constB71, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB71)) | v84(constB71, bitIndex0))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25696,plain,
% 136.10/86.80 ((v84(constB71, bitIndex0) | (~v145(constB71))) <=> ((~v145(constB71)) | v84(constB71, bitIndex0))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25697,plain,
% 136.10/86.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB71, bitIndex0) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB71)) | v84(constB71, bitIndex0)))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25696])).
% 136.10/86.80 tff(25698,plain,
% 136.10/86.80 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB71, bitIndex0) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB71)) | v84(constB71, bitIndex0))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25697, 25695])).
% 136.10/86.80 tff(25699,plain,
% 136.10/86.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB71, bitIndex0) | (~v145(constB71)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25700,plain,
% 136.10/86.80 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB71)) | v84(constB71, bitIndex0)),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25699, 25698])).
% 136.10/86.80 tff(25701,plain,
% 136.10/86.80 (v84(constB71, bitIndex0)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25700, 788, 25694])).
% 136.10/86.80 tff(25702,assumption,(v84(constB71, bitIndex0)), introduced(assumption)).
% 136.10/86.80 tff(25703,plain,
% 136.10/86.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB70, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB70, bitIndex0))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25704,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB70, bitIndex0))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25705,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB70, bitIndex0)),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25704, 25703])).
% 136.10/86.80 tff(25706,plain,
% 136.10/86.80 ($false),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25705, 805, 795, 25640, 25652, 25459, 25702])).
% 136.10/86.80 tff(25707,plain,((~v84(constB71, bitIndex0)) | v84(constB70, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.80 tff(25708,plain,
% 136.10/86.80 (v84(constB70, bitIndex0)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25707, 25701])).
% 136.10/86.80 tff(25709,plain,
% 136.10/86.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB71)) | (~v84(constB71, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB71)) | (~v84(constB71, bitIndex2)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25710,plain,
% 136.10/86.80 (((~v84(constB71, bitIndex2)) | (~v145(constB71))) <=> ((~v145(constB71)) | (~v84(constB71, bitIndex2)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25711,plain,
% 136.10/86.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex2)) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB71)) | (~v84(constB71, bitIndex2))))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25710])).
% 136.10/86.80 tff(25712,plain,
% 136.10/86.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex2)) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB71)) | (~v84(constB71, bitIndex2)))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25711, 25709])).
% 136.10/86.80 tff(25713,plain,
% 136.10/86.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex2)) | (~v145(constB71)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25714,plain,
% 136.10/86.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB71)) | (~v84(constB71, bitIndex2))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25713, 25712])).
% 136.10/86.80 tff(25715,plain,
% 136.10/86.80 (~v84(constB71, bitIndex2)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25714, 725, 25694])).
% 136.10/86.80 tff(25716,plain,
% 136.10/86.80 (~v84(constB70, bitIndex2)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25657, 25715])).
% 136.10/86.80 tff(25717,plain,
% 136.10/86.80 (v94(constB70)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25631, 25716])).
% 136.10/86.80 tff(25718,plain,
% 136.10/86.80 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB70)) | (~v84(constB70, bitIndex0)) | v123(constB70, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB70)) | (~v84(constB70, bitIndex0)) | v123(constB70, bitIndex0))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25719,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB70)) | (~v84(constB70, bitIndex0)) | v123(constB70, bitIndex0))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25720,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB70)) | (~v84(constB70, bitIndex0)) | v123(constB70, bitIndex0)),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25719, 25718])).
% 136.10/86.80 tff(25721,plain,
% 136.10/86.80 (v123(constB70, bitIndex0)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25720, 1344, 795, 25717, 25708])).
% 136.10/86.80 tff(25722,plain,
% 136.10/86.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB69, constB70)) | (~less_3(bitIndex0)) | (~v123(constB70, bitIndex0)) | v121(constB69, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB69, constB70)) | (~less_3(bitIndex0)) | (~v123(constB70, bitIndex0)) | v121(constB69, bitIndex0))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25723,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB69, constB70)) | (~less_3(bitIndex0)) | (~v123(constB70, bitIndex0)) | v121(constB69, bitIndex0))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25724,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB69, constB70)) | (~less_3(bitIndex0)) | (~v123(constB70, bitIndex0)) | v121(constB69, bitIndex0)),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25723, 25722])).
% 136.10/86.80 tff(25725,plain,
% 136.10/86.80 (v121(constB69, bitIndex0)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25724, 1362, 795, 25443, 25721])).
% 136.10/86.80 tff(25726,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB69)) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB69)) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25727,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB69)) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25728,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB69)) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25727, 25726])).
% 136.10/86.80 tff(25729,plain,
% 136.10/86.80 (~v26(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25728, 1398, 795, 25725])).
% 136.10/86.80 tff(25730,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)) | v124(constB69, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)) | v124(constB69, bitIndex0))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25731,plain,
% 136.10/86.80 ((v26(constB69) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~v121(constB69, bitIndex0))) <=> (v26(constB69) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)) | v124(constB69, bitIndex0))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25732,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~v121(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)) | v124(constB69, bitIndex0)))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25731])).
% 136.10/86.80 tff(25733,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~v121(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)) | v124(constB69, bitIndex0))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25732, 25730])).
% 136.10/86.80 tff(25734,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex0)) | v124(constB69, bitIndex0) | (~v121(constB69, bitIndex0)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25735,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex0)) | (~v121(constB69, bitIndex0)) | v124(constB69, bitIndex0)),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25734, 25733])).
% 136.10/86.80 tff(25736,plain,
% 136.10/86.80 (v124(constB69, bitIndex0)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25735, 1380, 795, 25729, 25725])).
% 136.10/86.80 tff(25737,plain,
% 136.10/86.80 (~v113(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25327, 25736])).
% 136.10/86.80 tff(25738,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB69)) | (~v124(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25739,plain,
% 136.10/86.80 (((~v145(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25740,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB69)) | (~v124(constB69, bitIndex0))))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25739])).
% 136.10/86.80 tff(25741,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25740, 25738])).
% 136.10/86.80 tff(25742,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b010(bitIndex0))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25743,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB69)) | (~v124(constB69, bitIndex0))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25742, 25741])).
% 136.10/86.80 tff(25744,plain,
% 136.10/86.80 (~v145(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25743, 2299, 1416, 795, 25736])).
% 136.10/86.80 tff(25745,plain,
% 136.10/86.80 (~v112(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25344, 2894, 25744, 25737])).
% 136.10/86.80 tff(25746,plain,
% 136.10/86.80 (v104(constB70)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25455, 25717])).
% 136.10/86.80 tff(25747,plain,
% 136.10/86.80 (v102(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25450, 25746])).
% 136.10/86.80 tff(25748,plain,
% 136.10/86.80 (v26(constB69) | v106(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25438, 3146, 25747])).
% 136.10/86.80 tff(25749,plain,
% 136.10/86.80 (v106(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25748, 25729])).
% 136.10/86.80 tff(25750,plain,
% 136.10/86.80 (v107(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25427, 3161, 25749])).
% 136.10/86.80 tff(25751,assumption,(~v119(constB69)), introduced(assumption)).
% 136.10/86.80 tff(25752,plain,
% 136.10/86.80 (v108(constB69) | (~v107(constB69))),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25363, 3195, 25751])).
% 136.10/86.80 tff(25753,plain,
% 136.10/86.80 (v108(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25752, 25750])).
% 136.10/86.80 tff(25754,plain,
% 136.10/86.80 (v109(constB69) | (~v108(constB69))),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25372, 2856, 25296])).
% 136.10/86.80 tff(25755,plain,
% 136.10/86.80 (v109(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25754, 25753])).
% 136.10/86.80 tff(25756,plain,
% 136.10/86.80 (v110(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25380, 25755])).
% 136.10/86.80 tff(25757,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB69)) | (~v124(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25758,plain,
% 136.10/86.80 (((~v116(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25759,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB69)) | (~v124(constB69, bitIndex0))))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25758])).
% 136.10/86.80 tff(25760,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB69)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25759, 25757])).
% 136.10/86.80 tff(25761,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB69)) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)) | b100(bitIndex0))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25762,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB69)) | (~v124(constB69, bitIndex0))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25761, 25760])).
% 136.10/86.80 tff(25763,plain,
% 136.10/86.80 (~v116(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25762, 2386, 2164, 795, 25736])).
% 136.10/86.80 tff(25764,plain,
% 136.10/86.80 (v111(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25384, 2932, 25763, 25756])).
% 136.10/86.80 tff(25765,plain,
% 136.10/86.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB71)) | (~v84(constB71, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB71)) | (~v84(constB71, bitIndex1)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25766,plain,
% 136.10/86.80 (((~v84(constB71, bitIndex1)) | (~v145(constB71))) <=> ((~v145(constB71)) | (~v84(constB71, bitIndex1)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25767,plain,
% 136.10/86.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB71)) | (~v84(constB71, bitIndex1))))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25766])).
% 136.10/86.80 tff(25768,plain,
% 136.10/86.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB71)) | (~v84(constB71, bitIndex1)))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25767, 25765])).
% 136.10/86.80 tff(25769,plain,
% 136.10/86.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v145(constB71)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25770,plain,
% 136.10/86.80 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB71)) | (~v84(constB71, bitIndex1))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25769, 25768])).
% 136.10/86.80 tff(25771,plain,
% 136.10/86.80 (~v84(constB71, bitIndex1)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25770, 816, 25694])).
% 136.10/86.80 tff(25772,assumption,(~v84(constB71, bitIndex1)), introduced(assumption)).
% 136.10/86.80 tff(25773,assumption,(v84(constB70, bitIndex1)), introduced(assumption)).
% 136.10/86.80 tff(25774,plain,
% 136.10/86.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB70, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB70, bitIndex1)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25775,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB70, bitIndex1)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25776,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB70, bitIndex1))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25775, 25774])).
% 136.10/86.80 tff(25777,plain,
% 136.10/86.80 ($false),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25776, 777, 823, 25640, 25652, 25773, 25772])).
% 136.10/86.80 tff(25778,plain,(v84(constB71, bitIndex1) | (~v84(constB70, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.80 tff(25779,plain,
% 136.10/86.80 (~v84(constB70, bitIndex1)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25778, 25771])).
% 136.10/86.80 tff(25780,plain,
% 136.10/86.80 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB70)) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB70)) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25781,plain,
% 136.10/86.80 (((~less_3(bitIndex1)) | (~v94(constB70)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1))) <=> ((~v94(constB70)) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25782,plain,
% 136.10/86.80 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB70)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB70)) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1))))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25781])).
% 136.10/86.80 tff(25783,plain,
% 136.10/86.80 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB70)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB70)) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25782, 25780])).
% 136.10/86.80 tff(25784,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB70)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25785,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB70)) | (~less_3(bitIndex1)) | v84(constB70, bitIndex1) | (~v123(constB70, bitIndex1))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25784, 25783])).
% 136.10/86.80 tff(25786,plain,
% 136.10/86.80 (~v123(constB70, bitIndex1)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25785, 1674, 823, 25717, 25779])).
% 136.10/86.80 tff(25787,plain,
% 136.10/86.80 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB69, constB70)) | (~less_3(bitIndex1)) | v123(constB70, bitIndex1) | (~v121(constB69, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB69, constB70)) | (~less_3(bitIndex1)) | v123(constB70, bitIndex1) | (~v121(constB69, bitIndex1)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25788,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB69, constB70)) | (~less_3(bitIndex1)) | v123(constB70, bitIndex1) | (~v121(constB69, bitIndex1)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25789,plain,
% 136.10/86.80 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB69, constB70)) | (~less_3(bitIndex1)) | v123(constB70, bitIndex1) | (~v121(constB69, bitIndex1))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25788, 25787])).
% 136.10/86.80 tff(25790,plain,
% 136.10/86.80 (~v121(constB69, bitIndex1)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25789, 1708, 823, 25443, 25786])).
% 136.10/86.80 tff(25791,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex1)) | v121(constB69, bitIndex1) | (~v124(constB69, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex1)) | v121(constB69, bitIndex1) | (~v124(constB69, bitIndex1)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25792,plain,
% 136.10/86.80 ((v26(constB69) | v121(constB69, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB69, bitIndex1))) <=> (v26(constB69) | (~less_3(bitIndex1)) | v121(constB69, bitIndex1) | (~v124(constB69, bitIndex1)))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25793,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | v121(constB69, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB69, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex1)) | v121(constB69, bitIndex1) | (~v124(constB69, bitIndex1))))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25792])).
% 136.10/86.80 tff(25794,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | v121(constB69, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB69, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex1)) | v121(constB69, bitIndex1) | (~v124(constB69, bitIndex1)))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25793, 25791])).
% 136.10/86.80 tff(25795,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | v121(constB69, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB69, bitIndex1)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25796,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex1)) | v121(constB69, bitIndex1) | (~v124(constB69, bitIndex1))),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25795, 25794])).
% 136.10/86.80 tff(25797,plain,
% 136.10/86.80 (~v124(constB69, bitIndex1)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25796, 1728, 823, 25729, 25790])).
% 136.10/86.80 tff(25798,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB69)) | (~b011(bitIndex1)) | v124(constB69, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB69)) | (~b011(bitIndex1)) | v124(constB69, bitIndex1))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25799,plain,
% 136.10/86.80 (((~v115(constB69)) | (~less_3(bitIndex1)) | v124(constB69, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB69)) | (~b011(bitIndex1)) | v124(constB69, bitIndex1))),
% 136.10/86.80 inference(rewrite,[status(thm)],[])).
% 136.10/86.80 tff(25800,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB69)) | (~less_3(bitIndex1)) | v124(constB69, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB69)) | (~b011(bitIndex1)) | v124(constB69, bitIndex1)))),
% 136.10/86.80 inference(monotonicity,[status(thm)],[25799])).
% 136.10/86.80 tff(25801,plain,
% 136.10/86.80 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB69)) | (~less_3(bitIndex1)) | v124(constB69, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB69)) | (~b011(bitIndex1)) | v124(constB69, bitIndex1))),
% 136.10/86.80 inference(transitivity,[status(thm)],[25800, 25798])).
% 136.10/86.80 tff(25802,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB69)) | (~less_3(bitIndex1)) | v124(constB69, bitIndex1) | (~b011(bitIndex1)))),
% 136.10/86.80 inference(quant_inst,[status(thm)],[])).
% 136.10/86.80 tff(25803,plain,
% 136.10/86.80 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB69)) | (~b011(bitIndex1)) | v124(constB69, bitIndex1)),
% 136.10/86.80 inference(modus_ponens,[status(thm)],[25802, 25801])).
% 136.10/86.80 tff(25804,plain,
% 136.10/86.80 (~v115(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25803, 3033, 1193, 823, 25797])).
% 136.10/86.80 tff(25805,plain,
% 136.10/86.80 ($false),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25355, 2911, 25804, 25764, 25745])).
% 136.10/86.80 tff(25806,plain,((~v145(constB71)) | v172(constB69) | v118(constB69) | v119(constB69)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.80 tff(25807,plain,
% 136.10/86.80 (~v145(constB71)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25806, 25693, 25666, 25662])).
% 136.10/86.80 tff(25808,plain,
% 136.10/86.80 (~v115(constB69)),
% 136.10/86.80 inference(unit_resolution,[status(thm)],[25351, 3011, 25689])).
% 136.10/86.80 tff(25809,plain,
% 136.10/86.80 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB69, bitIndex0)) | (~v113(constB69)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB69, bitIndex0)) | (~v113(constB69)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25810,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB69, bitIndex0)) | (~v113(constB69)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25811,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB69, bitIndex0)) | (~v113(constB69))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25810, 25809])).
% 136.10/86.81 tff(25812,plain,
% 136.10/86.81 (~v113(constB69)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25811, 2764, 25689])).
% 136.10/86.81 tff(25813,plain,
% 136.10/86.81 (~v116(constB69)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25265, 25675])).
% 136.10/86.81 tff(25814,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25575, 1018, 25675, 25348, 25662, 25244])).
% 136.10/86.81 tff(25815,plain,(v94(constB70) | (~v84(constB69, bitIndex0)) | v84(constB69, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25816,plain,
% 136.10/86.81 (v84(constB69, bitIndex1)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25815, 25689, 25457])).
% 136.10/86.81 tff(25817,plain,
% 136.10/86.81 (~v145(constB69)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25335, 816, 25816])).
% 136.10/86.81 tff(25818,plain,
% 136.10/86.81 (v124(constB69, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25305, 25817, 25693, 25813, 25812, 25808, 25662])).
% 136.10/86.81 tff(25819,assumption,(~v121(constB69, bitIndex0)), introduced(assumption)).
% 136.10/86.81 tff(25820,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex0)) | v121(constB69, bitIndex0) | (~v124(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex0)) | v121(constB69, bitIndex0) | (~v124(constB69, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25821,plain,
% 136.10/86.81 ((v26(constB69) | v121(constB69, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0))) <=> (v26(constB69) | (~less_3(bitIndex0)) | v121(constB69, bitIndex0) | (~v124(constB69, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25822,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | v121(constB69, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | (~less_3(bitIndex0)) | v121(constB69, bitIndex0) | (~v124(constB69, bitIndex0))))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25821])).
% 136.10/86.81 tff(25823,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | v121(constB69, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex0)) | v121(constB69, bitIndex0) | (~v124(constB69, bitIndex0)))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25822, 25820])).
% 136.10/86.81 tff(25824,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB69) | v121(constB69, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB69, bitIndex0)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25825,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB69) | (~less_3(bitIndex0)) | v121(constB69, bitIndex0) | (~v124(constB69, bitIndex0))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25824, 25823])).
% 136.10/86.81 tff(25826,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25825, 1728, 795, 25432, 25318, 25819])).
% 136.10/86.81 tff(25827,plain,(v121(constB69, bitIndex0) | (~v124(constB69, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25828,plain,
% 136.10/86.81 (v121(constB69, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25827, 25818])).
% 136.10/86.81 tff(25829,assumption,(~v123(constB70, bitIndex0)), introduced(assumption)).
% 136.10/86.81 tff(25830,assumption,(v121(constB69, bitIndex0)), introduced(assumption)).
% 136.10/86.81 tff(25831,plain,
% 136.10/86.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB69, constB70)) | (~less_3(bitIndex0)) | v123(constB70, bitIndex0) | (~v121(constB69, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB69, constB70)) | (~less_3(bitIndex0)) | v123(constB70, bitIndex0) | (~v121(constB69, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25832,plain,
% 136.10/86.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB69, constB70)) | (~less_3(bitIndex0)) | v123(constB70, bitIndex0) | (~v121(constB69, bitIndex0)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25833,plain,
% 136.10/86.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB69, constB70)) | (~less_3(bitIndex0)) | v123(constB70, bitIndex0) | (~v121(constB69, bitIndex0))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25832, 25831])).
% 136.10/86.81 tff(25834,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25833, 1708, 795, 25443, 25830, 25829])).
% 136.10/86.81 tff(25835,plain,(v123(constB70, bitIndex0) | (~v121(constB69, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25836,plain,
% 136.10/86.81 (v123(constB70, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25835, 25828])).
% 136.10/86.81 tff(25837,assumption,(v172(constB71)), introduced(assumption)).
% 136.10/86.81 tff(25838,plain,
% 136.10/86.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB71, bitIndex0)) | (~v172(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB71, bitIndex0)) | (~v172(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25839,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB71, bitIndex0)) | (~v172(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25840,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB71, bitIndex0)) | (~v172(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25839, 25838])).
% 136.10/86.81 tff(25841,plain,
% 136.10/86.81 (~v84(constB71, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25840, 7708, 25837])).
% 136.10/86.81 tff(25842,assumption,(~v84(constB71, bitIndex0)), introduced(assumption)).
% 136.10/86.81 tff(25843,assumption,(v84(constB70, bitIndex0)), introduced(assumption)).
% 136.10/86.81 tff(25844,plain,
% 136.10/86.81 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB70, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB70, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25845,plain,
% 136.10/86.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB70, bitIndex0)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25846,plain,
% 136.10/86.81 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB70, constB71)) | v94(constB71) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB70, bitIndex0))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25845, 25844])).
% 136.10/86.81 tff(25847,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25846, 777, 795, 25640, 25652, 25843, 25842])).
% 136.10/86.81 tff(25848,plain,(v84(constB71, bitIndex0) | (~v84(constB70, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25849,plain,
% 136.10/86.81 (~v84(constB70, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25848, 25841])).
% 136.10/86.81 tff(25850,plain,
% 136.10/86.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v172(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB71, bitIndex1)) | (~v172(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25851,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v172(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25852,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB71, bitIndex1)) | (~v172(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25851, 25850])).
% 136.10/86.81 tff(25853,plain,
% 136.10/86.81 (~v84(constB71, bitIndex1)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25852, 2289, 25837])).
% 136.10/86.81 tff(25854,plain,
% 136.10/86.81 (~v84(constB70, bitIndex1)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25778, 25853])).
% 136.10/86.81 tff(25855,plain,
% 136.10/86.81 (v94(constB70)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25590, 25854])).
% 136.10/86.81 tff(25856,assumption,(v123(constB70, bitIndex0)), introduced(assumption)).
% 136.10/86.81 tff(25857,plain,
% 136.10/86.81 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB70)) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB70)) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25858,plain,
% 136.10/86.81 (((~less_3(bitIndex0)) | (~v94(constB70)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0))) <=> ((~v94(constB70)) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25859,plain,
% 136.10/86.81 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB70)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB70)) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0))))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25858])).
% 136.10/86.81 tff(25860,plain,
% 136.10/86.81 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB70)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB70)) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25859, 25857])).
% 136.10/86.81 tff(25861,plain,
% 136.10/86.81 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB70)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25862,plain,
% 136.10/86.81 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB70)) | (~less_3(bitIndex0)) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25861, 25860])).
% 136.10/86.81 tff(25863,plain,
% 136.10/86.81 ((~v94(constB70)) | v84(constB70, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25862, 1674, 795, 25856])).
% 136.10/86.81 tff(25864,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25863, 25855, 25849])).
% 136.10/86.81 tff(25865,plain,((~v172(constB71)) | (~v123(constB70, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25866,plain,
% 136.10/86.81 (~v172(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25865, 25836])).
% 136.10/86.81 tff(25867,assumption,(~v172(constB71)), introduced(assumption)).
% 136.10/86.81 tff(25868,assumption,(~v124(constB71, bitIndex0)), introduced(assumption)).
% 136.10/86.81 tff(25869,assumption,(~v145(constB71)), introduced(assumption)).
% 136.10/86.81 tff(25870,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB71)) | v124(constB71, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB71)) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25871,plain,
% 136.10/86.81 (((~v115(constB71)) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB71)) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25872,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB71)) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB71)) | v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25871])).
% 136.10/86.81 tff(25873,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB71)) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB71)) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25872, 25870])).
% 136.10/86.81 tff(25874,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB71)) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b011(bitIndex0)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25875,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB71)) | v124(constB71, bitIndex0)),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25874, 25873])).
% 136.10/86.81 tff(25876,plain,
% 136.10/86.81 (~v115(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25875, 1148, 1193, 795, 25868])).
% 136.10/86.81 tff(25877,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB71)) | v124(constB71, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB71)) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25878,plain,
% 136.10/86.81 (((~v118(constB71)) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB71)) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25879,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB71)) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB71)) | v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25878])).
% 136.10/86.81 tff(25880,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB71)) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB71)) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25879, 25877])).
% 136.10/86.81 tff(25881,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB71)) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b011(bitIndex0)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25882,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB71)) | v124(constB71, bitIndex0)),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25881, 25880])).
% 136.10/86.81 tff(25883,plain,
% 136.10/86.81 (~v118(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25882, 1148, 1145, 795, 25868])).
% 136.10/86.81 tff(25884,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25465, 777, 795, 25443, 25457, 25459, 25348])).
% 136.10/86.81 tff(25885,plain,(v84(constB70, bitIndex0) | v94(constB70) | (~v84(constB69, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25886,plain,
% 136.10/86.81 (v84(constB70, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25885, 25457, 25348])).
% 136.10/86.81 tff(25887,plain,
% 136.10/86.81 (v84(constB71, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25848, 25886])).
% 136.10/86.81 tff(25888,plain,
% 136.10/86.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB71, bitIndex0)) | (~v113(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB71, bitIndex0)) | (~v113(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25889,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB71, bitIndex0)) | (~v113(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25890,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB71, bitIndex0)) | (~v113(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25889, 25888])).
% 136.10/86.81 tff(25891,plain,
% 136.10/86.81 (~v113(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25890, 2764, 25887])).
% 136.10/86.81 tff(25892,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB71) | (~b001(bitIndex0)) | v113(constB71) | v118(constB71) | v172(constB71) | v116(constB71) | v115(constB71) | v124(constB71, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB71) | (~b001(bitIndex0)) | v113(constB71) | v118(constB71) | v172(constB71) | v116(constB71) | v115(constB71) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25893,plain,
% 136.10/86.81 ((v113(constB71) | v145(constB71) | v115(constB71) | v116(constB71) | v172(constB71) | v118(constB71) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB71) | (~b001(bitIndex0)) | v113(constB71) | v118(constB71) | v172(constB71) | v116(constB71) | v115(constB71) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25894,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB71) | v145(constB71) | v115(constB71) | v116(constB71) | v172(constB71) | v118(constB71) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB71) | (~b001(bitIndex0)) | v113(constB71) | v118(constB71) | v172(constB71) | v116(constB71) | v115(constB71) | v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25893])).
% 136.10/86.81 tff(25895,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB71) | v145(constB71) | v115(constB71) | v116(constB71) | v172(constB71) | v118(constB71) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB71) | (~b001(bitIndex0)) | v113(constB71) | v118(constB71) | v172(constB71) | v116(constB71) | v115(constB71) | v124(constB71, bitIndex0))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25894, 25892])).
% 136.10/86.81 tff(25896,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB71) | v145(constB71) | v115(constB71) | v116(constB71) | v172(constB71) | v118(constB71) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~b001(bitIndex0)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25897,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB71) | (~b001(bitIndex0)) | v113(constB71) | v118(constB71) | v172(constB71) | v116(constB71) | v115(constB71) | v124(constB71, bitIndex0)),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25896, 25895])).
% 136.10/86.81 tff(25898,plain,
% 136.10/86.81 (v145(constB71) | v113(constB71) | v118(constB71) | v172(constB71) | v116(constB71) | v115(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25897, 1213, 1210, 795, 25868])).
% 136.10/86.81 tff(25899,plain,
% 136.10/86.81 (v116(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25898, 25891, 25867, 25869, 25883, 25876])).
% 136.10/86.81 tff(25900,plain,
% 136.10/86.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB71, bitIndex2)) | (~v116(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB71, bitIndex2)) | (~v116(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25901,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB71, bitIndex2)) | (~v116(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25902,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB71, bitIndex2)) | (~v116(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25901, 25900])).
% 136.10/86.81 tff(25903,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25902, 1130, 25658, 25899])).
% 136.10/86.81 tff(25904,plain,(v94(constB70) | v172(constB71) | v145(constB71) | v124(constB71, bitIndex0) | (~v84(constB69, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25905,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25904, 25689, 25457, 25869, 25868, 25867])).
% 136.10/86.81 tff(25906,plain,(v94(constB70) | v145(constB71) | v124(constB71, bitIndex0) | v172(constB71)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25907,plain,
% 136.10/86.81 (v124(constB71, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25906, 25866, 25457, 25807])).
% 136.10/86.81 tff(25908,assumption,(v116(constB71)), introduced(assumption)).
% 136.10/86.81 tff(25909,assumption,(v124(constB71, bitIndex0)), introduced(assumption)).
% 136.10/86.81 tff(25910,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB71)) | (~v124(constB71, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25911,plain,
% 136.10/86.81 (((~v116(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25912,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB71)) | (~v124(constB71, bitIndex0))))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25911])).
% 136.10/86.81 tff(25913,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25912, 25910])).
% 136.10/86.81 tff(25914,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b100(bitIndex0))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25915,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB71)) | (~v124(constB71, bitIndex0))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25914, 25913])).
% 136.10/86.81 tff(25916,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25915, 2386, 2164, 795, 25909, 25908])).
% 136.10/86.81 tff(25917,plain,((~v116(constB71)) | (~v124(constB71, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25918,plain,
% 136.10/86.81 (~v116(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25917, 25907])).
% 136.10/86.81 tff(25919,plain,
% 136.10/86.81 (v84(constB70, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25885, 25457, 25689])).
% 136.10/86.81 tff(25920,plain,
% 136.10/86.81 (v84(constB71, bitIndex0)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25848, 25919])).
% 136.10/86.81 tff(25921,plain,
% 136.10/86.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB71, bitIndex0)) | (~v115(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB71, bitIndex0)) | (~v115(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25922,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB71, bitIndex0)) | (~v115(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25923,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB71, bitIndex0)) | (~v115(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25922, 25921])).
% 136.10/86.81 tff(25924,plain,
% 136.10/86.81 (~v115(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25923, 3011, 25920])).
% 136.10/86.81 tff(25925,assumption,(v113(constB71)), introduced(assumption)).
% 136.10/86.81 tff(25926,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB71)) | (~v124(constB71, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25927,plain,
% 136.10/86.81 (((~v113(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25928,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB71)) | (~v124(constB71, bitIndex0))))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25927])).
% 136.10/86.81 tff(25929,plain,
% 136.10/86.81 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25928, 25926])).
% 136.10/86.81 tff(25930,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b100(bitIndex0))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25931,plain,
% 136.10/86.81 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB71)) | (~v124(constB71, bitIndex0))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25930, 25929])).
% 136.10/86.81 tff(25932,plain,
% 136.10/86.81 ($false),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25931, 2386, 2186, 795, 25925, 25909])).
% 136.10/86.81 tff(25933,plain,((~v124(constB71, bitIndex0)) | (~v113(constB71))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.81 tff(25934,plain,
% 136.10/86.81 (~v113(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25933, 25907])).
% 136.10/86.81 tff(25935,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB71) | v113(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB71) | v113(constB71) | (~v112(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25936,plain,
% 136.10/86.81 ((v113(constB71) | (~v112(constB71)) | v145(constB71)) <=> (v145(constB71) | v113(constB71) | (~v112(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25937,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB71) | (~v112(constB71)) | v145(constB71))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB71) | v113(constB71) | (~v112(constB71))))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25936])).
% 136.10/86.81 tff(25938,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB71) | (~v112(constB71)) | v145(constB71))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB71) | v113(constB71) | (~v112(constB71)))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25937, 25935])).
% 136.10/86.81 tff(25939,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB71) | (~v112(constB71)) | v145(constB71))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25940,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB71) | v113(constB71) | (~v112(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25939, 25938])).
% 136.10/86.81 tff(25941,plain,
% 136.10/86.81 (v113(constB71) | (~v112(constB71))),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25940, 2894, 25807])).
% 136.10/86.81 tff(25942,plain,
% 136.10/86.81 (~v112(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25941, 25934])).
% 136.10/86.81 tff(25943,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB71) | v115(constB71) | (~v111(constB71)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB71) | v115(constB71) | (~v111(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25944,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB71) | v115(constB71) | (~v111(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25945,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB71) | v115(constB71) | (~v111(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25944, 25943])).
% 136.10/86.81 tff(25946,plain,
% 136.10/86.81 (v115(constB71) | (~v111(constB71))),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25945, 2911, 25942])).
% 136.10/86.81 tff(25947,plain,
% 136.10/86.81 (~v111(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25946, 25924])).
% 136.10/86.81 tff(25948,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB71) | v116(constB71) | (~v110(constB71)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB71) | v116(constB71) | (~v110(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25949,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB71) | v116(constB71) | (~v110(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25950,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB71) | v116(constB71) | (~v110(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25949, 25948])).
% 136.10/86.81 tff(25951,plain,
% 136.10/86.81 (~v110(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25950, 2932, 25947, 25918])).
% 136.10/86.81 tff(25952,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB71)) | v172(constB71) | v110(constB71))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB71)) | v172(constB71) | v110(constB71))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25953,plain,
% 136.10/86.81 ((v110(constB71) | (~v109(constB71)) | v172(constB71)) <=> ((~v109(constB71)) | v172(constB71) | v110(constB71))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25954,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB71) | (~v109(constB71)) | v172(constB71))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB71)) | v172(constB71) | v110(constB71)))),
% 136.10/86.81 inference(monotonicity,[status(thm)],[25953])).
% 136.10/86.81 tff(25955,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB71) | (~v109(constB71)) | v172(constB71))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB71)) | v172(constB71) | v110(constB71))),
% 136.10/86.81 inference(transitivity,[status(thm)],[25954, 25952])).
% 136.10/86.81 tff(25956,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB71) | (~v109(constB71)) | v172(constB71))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25957,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB71)) | v172(constB71) | v110(constB71)),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25956, 25955])).
% 136.10/86.81 tff(25958,plain,
% 136.10/86.81 ((~v109(constB71)) | v110(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25957, 2871, 25866])).
% 136.10/86.81 tff(25959,plain,
% 136.10/86.81 (~v109(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25958, 25951])).
% 136.10/86.81 tff(25960,plain,
% 136.10/86.81 (v84(constB71, bitIndex1)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25778, 25591])).
% 136.10/86.81 tff(25961,plain,
% 136.10/86.81 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v118(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB71, bitIndex1)) | (~v118(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25962,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB71, bitIndex1)) | (~v118(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25963,plain,
% 136.10/86.81 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB71, bitIndex1)) | (~v118(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25962, 25961])).
% 136.10/86.81 tff(25964,plain,
% 136.10/86.81 (~v118(constB71)),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25963, 2842, 25960])).
% 136.10/86.81 tff(25965,plain,
% 136.10/86.81 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB71) | v118(constB71) | (~v108(constB71)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB71) | v118(constB71) | (~v108(constB71)))),
% 136.10/86.81 inference(rewrite,[status(thm)],[])).
% 136.10/86.81 tff(25966,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB71) | v118(constB71) | (~v108(constB71)))),
% 136.10/86.81 inference(quant_inst,[status(thm)],[])).
% 136.10/86.81 tff(25967,plain,
% 136.10/86.81 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB71) | v118(constB71) | (~v108(constB71))),
% 136.10/86.81 inference(modus_ponens,[status(thm)],[25966, 25965])).
% 136.10/86.81 tff(25968,plain,
% 136.10/86.81 (v109(constB71) | (~v108(constB71))),
% 136.10/86.81 inference(unit_resolution,[status(thm)],[25967, 2856, 25964])).
% 136.10/86.82 tff(25969,plain,
% 136.10/86.82 (~v108(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[25968, 25959])).
% 136.10/86.82 tff(25970,plain,
% 136.10/86.82 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB71, bitIndex0)) | (~v119(constB71)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB71, bitIndex0)) | (~v119(constB71)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(25971,plain,
% 136.10/86.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB71, bitIndex0)) | (~v119(constB71)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(25972,plain,
% 136.10/86.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB71, bitIndex0)) | (~v119(constB71))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[25971, 25970])).
% 136.10/86.82 tff(25973,plain,
% 136.10/86.82 (~v119(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[25972, 3173, 25920])).
% 136.10/86.82 tff(25974,plain,
% 136.10/86.82 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB71) | v119(constB71) | (~v107(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB71) | v119(constB71) | (~v107(constB71)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(25975,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB71) | v119(constB71) | (~v107(constB71)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(25976,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB71) | v119(constB71) | (~v107(constB71))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[25975, 25974])).
% 136.10/86.82 tff(25977,plain,
% 136.10/86.82 (v108(constB71) | (~v107(constB71))),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[25976, 3195, 25973])).
% 136.10/86.82 tff(25978,plain,
% 136.10/86.82 (~v107(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[25977, 25969])).
% 136.10/86.82 tff(25979,plain,
% 136.10/86.82 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB71) | (~v106(constB71)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB71) | (~v106(constB71)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(25980,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB71) | (~v106(constB71)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(25981,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB71) | (~v106(constB71))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[25980, 25979])).
% 136.10/86.82 tff(25982,plain,
% 136.10/86.82 (~v106(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[25981, 3161, 25978])).
% 136.10/86.82 tff(25983,assumption,(v26(constB71)), introduced(assumption)).
% 136.10/86.82 tff(25984,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(25985,plain,
% 136.10/86.82 ($false),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[25984, 1172, 25983])).
% 136.10/86.82 tff(25986,plain,(~v26(constB71)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.82 tff(25987,plain,
% 136.10/86.82 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB71)) | v26(constB71) | v106(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB71)) | v26(constB71) | v106(constB71))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(25988,plain,
% 136.10/86.82 ((v26(constB71) | v106(constB71) | (~v102(constB71))) <=> ((~v102(constB71)) | v26(constB71) | v106(constB71))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(25989,plain,
% 136.10/86.82 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB71) | v106(constB71) | (~v102(constB71)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB71)) | v26(constB71) | v106(constB71)))),
% 136.10/86.82 inference(monotonicity,[status(thm)],[25988])).
% 136.10/86.82 tff(25990,plain,
% 136.10/86.82 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB71) | v106(constB71) | (~v102(constB71)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB71)) | v26(constB71) | v106(constB71))),
% 136.10/86.82 inference(transitivity,[status(thm)],[25989, 25987])).
% 136.10/86.82 tff(25991,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB71) | v106(constB71) | (~v102(constB71)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(25992,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB71)) | v26(constB71) | v106(constB71)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[25991, 25990])).
% 136.10/86.82 tff(25993,plain,
% 136.10/86.82 ((~v102(constB71)) | v106(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[25992, 3146, 25986])).
% 136.10/86.82 tff(25994,plain,
% 136.10/86.82 (~v102(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[25993, 25982])).
% 136.10/86.82 tff(25995,plain,
% 136.10/86.82 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(25996,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_71_1')).
% 136.10/86.82 tff(25997,plain,
% 136.10/86.82 (nextState(constB71, constB72)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[25996, 25995])).
% 136.10/86.82 tff(25998,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB71, constB72)) | (~v104(constB72)) | v102(constB71))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB71, constB72)) | (~v104(constB72)) | v102(constB71))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(25999,plain,
% 136.10/86.82 (((~nextState(constB71, constB72)) | v102(constB71) | (~v104(constB72))) <=> ((~nextState(constB71, constB72)) | (~v104(constB72)) | v102(constB71))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26000,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB71, constB72)) | v102(constB71) | (~v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB71, constB72)) | (~v104(constB72)) | v102(constB71)))),
% 136.10/86.82 inference(monotonicity,[status(thm)],[25999])).
% 136.10/86.82 tff(26001,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB71, constB72)) | v102(constB71) | (~v104(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB71, constB72)) | (~v104(constB72)) | v102(constB71))),
% 136.10/86.82 inference(transitivity,[status(thm)],[26000, 25998])).
% 136.10/86.82 tff(26002,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB71, constB72)) | v102(constB71) | (~v104(constB72)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26003,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB71, constB72)) | (~v104(constB72)) | v102(constB71)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26002, 26001])).
% 136.10/86.82 tff(26004,plain,
% 136.10/86.82 ((~v104(constB72)) | v102(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26003, 3128, 25997])).
% 136.10/86.82 tff(26005,plain,
% 136.10/86.82 (~v104(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26004, 25994])).
% 136.10/86.82 tff(26006,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v94(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v94(constB72)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26007,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v94(constB72)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26008,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v94(constB72))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26007, 26006])).
% 136.10/86.82 tff(26009,plain,
% 136.10/86.82 (v104(constB72) | (~v94(constB72))),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26008, 3113, 25997])).
% 136.10/86.82 tff(26010,plain,
% 136.10/86.82 (~v94(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26009, 26005])).
% 136.10/86.82 tff(26011,assumption,(v84(constB71, bitIndex2)), introduced(assumption)).
% 136.10/86.82 tff(26012,assumption,(~v84(constB72, bitIndex2)), introduced(assumption)).
% 136.10/86.82 tff(26013,assumption,(~v94(constB72)), introduced(assumption)).
% 136.10/86.82 tff(26014,plain,
% 136.10/86.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB71, bitIndex2)) | v84(constB72, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB71, bitIndex2)) | v84(constB72, bitIndex2))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26015,plain,
% 136.10/86.82 (((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB71, bitIndex2))) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB71, bitIndex2)) | v84(constB72, bitIndex2))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26016,plain,
% 136.10/86.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB71, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB71, bitIndex2)) | v84(constB72, bitIndex2)))),
% 136.10/86.82 inference(monotonicity,[status(thm)],[26015])).
% 136.10/86.82 tff(26017,plain,
% 136.10/86.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB71, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB71, bitIndex2)) | v84(constB72, bitIndex2))),
% 136.10/86.82 inference(transitivity,[status(thm)],[26016, 26014])).
% 136.10/86.82 tff(26018,plain,
% 136.10/86.82 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB71, bitIndex2)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26019,plain,
% 136.10/86.82 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB71, bitIndex2)) | v84(constB72, bitIndex2)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26018, 26017])).
% 136.10/86.82 tff(26020,plain,
% 136.10/86.82 ($false),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26019, 777, 767, 25997, 26013, 26012, 26011])).
% 136.10/86.82 tff(26021,plain,(v84(constB72, bitIndex2) | v94(constB72) | (~v84(constB71, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.82 tff(26022,plain,
% 136.10/86.82 (v84(constB72, bitIndex2)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26021, 26010, 25658])).
% 136.10/86.82 tff(26023,assumption,(v84(constB72, bitIndex2)), introduced(assumption)).
% 136.10/86.82 tff(26024,assumption,(~v84(constB73, bitIndex2)), introduced(assumption)).
% 136.10/86.82 tff(26025,plain,
% 136.10/86.82 ((~v1(constB73)) <=> (~v1(constB73))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26026,axiom,(~v1(constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_73_1_1')).
% 136.10/86.82 tff(26027,plain,
% 136.10/86.82 (~v1(constB73)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26026, 26025])).
% 136.10/86.82 tff(26028,plain,
% 136.10/86.82 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26029,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_72_1')).
% 136.10/86.82 tff(26030,plain,
% 136.10/86.82 (nextState(constB72, constB73)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26029, 26028])).
% 136.10/86.82 tff(26031,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26032,plain,
% 136.10/86.82 (((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73)) <=> (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26033,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))))),
% 136.10/86.82 inference(monotonicity,[status(thm)],[26032])).
% 136.10/86.82 tff(26034,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73)))),
% 136.10/86.82 inference(transitivity,[status(thm)],[26033, 26031])).
% 136.10/86.82 tff(26035,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB72, constB73)) | (~v95(constB73)) | v1(constB73))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26036,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB73) | (~nextState(constB72, constB73)) | (~v95(constB73))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26035, 26034])).
% 136.10/86.82 tff(26037,plain,
% 136.10/86.82 (~v95(constB73)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26036, 742, 26030, 26027])).
% 136.10/86.82 tff(26038,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26039,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26040,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB72, constB73)) | v95(constB73) | (~v94(constB73))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26039, 26038])).
% 136.10/86.82 tff(26041,plain,
% 136.10/86.82 (v95(constB73) | (~v94(constB73))),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26040, 759, 26030])).
% 136.10/86.82 tff(26042,plain,
% 136.10/86.82 (~v94(constB73)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26041, 26037])).
% 136.10/86.82 tff(26043,plain,
% 136.10/86.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB72, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB72, bitIndex2)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26044,plain,
% 136.10/86.82 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB72, bitIndex2)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26045,plain,
% 136.10/86.82 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB72, bitIndex2))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26044, 26043])).
% 136.10/86.82 tff(26046,plain,
% 136.10/86.82 ($false),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26045, 777, 767, 26030, 26042, 26024, 26023])).
% 136.10/86.82 tff(26047,plain,(v84(constB73, bitIndex2) | (~v84(constB72, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.82 tff(26048,plain,
% 136.10/86.82 (v84(constB73, bitIndex2)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26047, 26022])).
% 136.10/86.82 tff(26049,assumption,(v84(constB73, bitIndex2)), introduced(assumption)).
% 136.10/86.82 tff(26050,assumption,(v145(constB73)), introduced(assumption)).
% 136.10/86.82 tff(26051,plain,
% 136.10/86.82 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB73)) | (~v84(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB73)) | (~v84(constB73, bitIndex2)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26052,plain,
% 136.10/86.82 (((~v84(constB73, bitIndex2)) | (~v145(constB73))) <=> ((~v145(constB73)) | (~v84(constB73, bitIndex2)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26053,plain,
% 136.10/86.82 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v145(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB73)) | (~v84(constB73, bitIndex2))))),
% 136.10/86.82 inference(monotonicity,[status(thm)],[26052])).
% 136.10/86.82 tff(26054,plain,
% 136.10/86.82 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v145(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB73)) | (~v84(constB73, bitIndex2)))),
% 136.10/86.82 inference(transitivity,[status(thm)],[26053, 26051])).
% 136.10/86.82 tff(26055,plain,
% 136.10/86.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v145(constB73)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26056,plain,
% 136.10/86.82 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB73)) | (~v84(constB73, bitIndex2))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26055, 26054])).
% 136.10/86.82 tff(26057,plain,
% 136.10/86.82 ($false),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26056, 725, 26050, 26049])).
% 136.10/86.82 tff(26058,plain,((~v145(constB73)) | (~v84(constB73, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.82 tff(26059,plain,
% 136.10/86.82 (~v145(constB73)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26058, 26048])).
% 136.10/86.82 tff(26060,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26061,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26062,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB71) | (~nextState(constB71, constB72)) | (~v98(constB72))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26061, 26060])).
% 136.10/86.82 tff(26063,plain,
% 136.10/86.82 (~v98(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26062, 541, 25997, 25637])).
% 136.10/86.82 tff(26064,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26065,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB71, constB72)) | v96(constB72) | v98(constB72))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26066,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB71, constB72)) | v96(constB72) | v98(constB72)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26065, 26064])).
% 136.10/86.82 tff(26067,plain,
% 136.10/86.82 (v96(constB72) | v98(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26066, 555, 25997])).
% 136.10/86.82 tff(26068,plain,
% 136.10/86.82 (v96(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26067, 26063])).
% 136.10/86.82 tff(26069,plain,
% 136.10/86.82 (v1(constB72) <=> v1(constB72)),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26070,axiom,(v1(constB72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_72_1')).
% 136.10/86.82 tff(26071,plain,
% 136.10/86.82 (v1(constB72)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26070, 26069])).
% 136.10/86.82 tff(26072,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26073,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26074,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB71, constB72)) | v95(constB72) | (~v96(constB72)) | (~v1(constB72))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26073, 26072])).
% 136.10/86.82 tff(26075,plain,
% 136.10/86.82 (v95(constB72) | (~v96(constB72))),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26074, 573, 25997, 26071])).
% 136.10/86.82 tff(26076,plain,
% 136.10/86.82 (v95(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26075, 26068])).
% 136.10/86.82 tff(26077,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26078,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26079,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB71, constB72)) | (~v95(constB72)) | (~v104(constB72)) | v94(constB72)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26078, 26077])).
% 136.10/86.82 tff(26080,plain,
% 136.10/86.82 ((~v95(constB72)) | (~v104(constB72)) | v94(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26079, 588, 25997])).
% 136.10/86.82 tff(26081,plain,
% 136.10/86.82 ((~v104(constB72)) | v94(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26080, 26076])).
% 136.10/86.82 tff(26082,plain,
% 136.10/86.82 (~v104(constB72)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26081, 26013])).
% 136.10/86.82 tff(26083,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26084,plain,
% 136.10/86.82 (((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72)) <=> ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26085,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))))),
% 136.10/86.82 inference(monotonicity,[status(thm)],[26084])).
% 136.10/86.82 tff(26086,plain,
% 136.10/86.82 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71)))),
% 136.10/86.82 inference(transitivity,[status(thm)],[26085, 26083])).
% 136.10/86.82 tff(26087,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB71, constB72)) | (~v102(constB71)) | v104(constB72))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26088,plain,
% 136.10/86.82 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB71, constB72)) | v104(constB72) | (~v102(constB71))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26087, 26086])).
% 136.10/86.82 tff(26089,plain,
% 136.10/86.82 (v104(constB72) | (~v102(constB71))),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26088, 604, 25997])).
% 136.10/86.82 tff(26090,plain,
% 136.10/86.82 (~v102(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26089, 26082])).
% 136.10/86.82 tff(26091,assumption,(~v84(constB72, bitIndex0)), introduced(assumption)).
% 136.10/86.82 tff(26092,plain,
% 136.10/86.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB72, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB72, bitIndex0))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26093,plain,
% 136.10/86.82 (((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB72, bitIndex0) | (~v84(constB71, bitIndex0))) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB72, bitIndex0))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26094,plain,
% 136.10/86.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB72, bitIndex0) | (~v84(constB71, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB72, bitIndex0)))),
% 136.10/86.82 inference(monotonicity,[status(thm)],[26093])).
% 136.10/86.82 tff(26095,plain,
% 136.10/86.82 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB72, bitIndex0) | (~v84(constB71, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB72, bitIndex0))),
% 136.10/86.82 inference(transitivity,[status(thm)],[26094, 26092])).
% 136.10/86.82 tff(26096,plain,
% 136.10/86.82 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB72, bitIndex0) | (~v84(constB71, bitIndex0)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26097,plain,
% 136.10/86.82 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB71, bitIndex0)) | v84(constB72, bitIndex0)),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26096, 26095])).
% 136.10/86.82 tff(26098,plain,
% 136.10/86.82 ($false),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26097, 777, 795, 25997, 26013, 26091, 25702])).
% 136.10/86.82 tff(26099,plain,(v84(constB72, bitIndex0) | v94(constB72) | (~v84(constB71, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.82 tff(26100,plain,
% 136.10/86.82 (~v84(constB71, bitIndex0)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26099, 26013, 26091])).
% 136.10/86.82 tff(26101,assumption,(~v107(constB71)), introduced(assumption)).
% 136.10/86.82 tff(26102,plain,
% 136.10/86.82 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB71) | (~v108(constB71)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB71) | (~v108(constB71)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26103,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB71) | (~v108(constB71)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26104,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB71) | (~v108(constB71))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26103, 26102])).
% 136.10/86.82 tff(26105,plain,
% 136.10/86.82 (~v108(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26104, 658, 26101])).
% 136.10/86.82 tff(26106,assumption,(v110(constB71)), introduced(assumption)).
% 136.10/86.82 tff(26107,plain,
% 136.10/86.82 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB71) | (~v110(constB71)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB71) | (~v110(constB71)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26108,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB71) | (~v110(constB71)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26109,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB71) | (~v110(constB71))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26108, 26107])).
% 136.10/86.82 tff(26110,plain,
% 136.10/86.82 (v109(constB71)),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26109, 680, 26106])).
% 136.10/86.82 tff(26111,plain,
% 136.10/86.82 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB71) | (~v109(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB71) | (~v109(constB71)))),
% 136.10/86.82 inference(rewrite,[status(thm)],[])).
% 136.10/86.82 tff(26112,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB71) | (~v109(constB71)))),
% 136.10/86.82 inference(quant_inst,[status(thm)],[])).
% 136.10/86.82 tff(26113,plain,
% 136.10/86.82 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB71) | (~v109(constB71))),
% 136.10/86.82 inference(modus_ponens,[status(thm)],[26112, 26111])).
% 136.10/86.82 tff(26114,plain,
% 136.10/86.82 ($false),
% 136.10/86.82 inference(unit_resolution,[status(thm)],[26113, 669, 26110, 26105])).
% 136.10/86.82 tff(26115,plain,((~v110(constB71)) | v107(constB71)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.83 tff(26116,plain,
% 136.10/86.83 (~v110(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26115, 26101])).
% 136.10/86.83 tff(26117,assumption,(v111(constB71)), introduced(assumption)).
% 136.10/86.83 tff(26118,assumption,(~v110(constB71)), introduced(assumption)).
% 136.10/86.83 tff(26119,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB71) | (~v111(constB71)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB71) | (~v111(constB71)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26120,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB71) | (~v111(constB71)))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26121,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB71) | (~v111(constB71))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26120, 26119])).
% 136.10/86.83 tff(26122,plain,
% 136.10/86.83 ($false),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26121, 691, 26118, 26117])).
% 136.10/86.83 tff(26123,plain,((~v111(constB71)) | v110(constB71)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.83 tff(26124,plain,
% 136.10/86.83 (~v111(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26123, 26116])).
% 136.10/86.83 tff(26125,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB71) | (~v112(constB71)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB71) | (~v112(constB71)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26126,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB71) | (~v112(constB71)))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26127,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB71) | (~v112(constB71))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26126, 26125])).
% 136.10/86.83 tff(26128,plain,
% 136.10/86.83 (~v112(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26127, 702, 26124])).
% 136.10/86.83 tff(26129,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB71) | (~v113(constB71)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB71) | (~v113(constB71)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26130,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB71) | (~v113(constB71)))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26131,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB71) | (~v113(constB71))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26130, 26129])).
% 136.10/86.83 tff(26132,plain,
% 136.10/86.83 (~v113(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26131, 969, 26128])).
% 136.10/86.83 tff(26133,plain,
% 136.10/86.83 (~v106(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[25981, 3161, 26101])).
% 136.10/86.83 tff(26134,plain,
% 136.10/86.83 (~v102(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[25993, 26133])).
% 136.10/86.83 tff(26135,plain,
% 136.10/86.83 (~v104(constB72)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26004, 26134])).
% 136.10/86.83 tff(26136,plain,
% 136.10/86.83 (~v94(constB72)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26009, 26135])).
% 136.10/86.83 tff(26137,assumption,(v84(constB72, bitIndex0)), introduced(assumption)).
% 136.10/86.83 tff(26138,plain,
% 136.10/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB72, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB72, bitIndex0)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26139,plain,
% 136.10/86.83 (((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB72, bitIndex0)) | v84(constB71, bitIndex0)) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB72, bitIndex0)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26140,plain,
% 136.10/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB72, bitIndex0)) | v84(constB71, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB72, bitIndex0))))),
% 136.10/86.83 inference(monotonicity,[status(thm)],[26139])).
% 136.10/86.83 tff(26141,plain,
% 136.10/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB72, bitIndex0)) | v84(constB71, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB72, bitIndex0)))),
% 136.10/86.83 inference(transitivity,[status(thm)],[26140, 26138])).
% 136.10/86.83 tff(26142,plain,
% 136.10/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | (~v84(constB72, bitIndex0)) | v84(constB71, bitIndex0))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26143,plain,
% 136.10/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex0)) | v84(constB71, bitIndex0) | (~v84(constB72, bitIndex0))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26142, 26141])).
% 136.10/86.83 tff(26144,plain,
% 136.10/86.83 ($false),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26143, 805, 795, 25997, 26013, 26137, 25842])).
% 136.10/86.83 tff(26145,plain,((~v84(constB72, bitIndex0)) | v94(constB72) | v84(constB71, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.83 tff(26146,plain,
% 136.10/86.83 (~v84(constB72, bitIndex0)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26145, 25842, 26136])).
% 136.10/86.83 tff(26147,assumption,(v84(constB73, bitIndex0)), introduced(assumption)).
% 136.10/86.83 tff(26148,plain,
% 136.10/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB72, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB72, bitIndex0))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26149,plain,
% 136.10/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB72, bitIndex0))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26150,plain,
% 136.10/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB72, bitIndex0)),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26149, 26148])).
% 136.10/86.83 tff(26151,plain,
% 136.10/86.83 ($false),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26150, 805, 795, 26030, 26042, 26147, 26091])).
% 136.10/86.83 tff(26152,plain,((~v84(constB73, bitIndex0)) | v84(constB72, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.83 tff(26153,plain,
% 136.10/86.83 (~v84(constB73, bitIndex0)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26152, 26146])).
% 136.10/86.83 tff(26154,assumption,(~v84(constB72, bitIndex1)), introduced(assumption)).
% 136.10/86.83 tff(26155,assumption,(v84(constB73, bitIndex1)), introduced(assumption)).
% 136.10/86.83 tff(26156,plain,
% 136.10/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB73, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB73, bitIndex1)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26157,plain,
% 136.10/86.83 (((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB72, bitIndex1)) <=> ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB73, bitIndex1)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26158,plain,
% 136.10/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB72, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB73, bitIndex1))))),
% 136.10/86.83 inference(monotonicity,[status(thm)],[26157])).
% 136.10/86.83 tff(26159,plain,
% 136.10/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB72, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB73, bitIndex1)))),
% 136.10/86.83 inference(transitivity,[status(thm)],[26158, 26156])).
% 136.10/86.83 tff(26160,plain,
% 136.10/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB72, bitIndex1))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26161,plain,
% 136.10/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB73, bitIndex1))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 136.10/86.83 tff(26162,plain,
% 136.10/86.83 ($false),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26161, 805, 823, 26030, 26042, 26155, 26154])).
% 136.10/86.83 tff(26163,plain,((~v84(constB73, bitIndex1)) | v84(constB72, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.10/86.83 tff(26164,plain,
% 136.10/86.83 (~v84(constB73, bitIndex1)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26163, 26154])).
% 136.10/86.83 tff(26165,assumption,(v115(constB73)), introduced(assumption)).
% 136.10/86.83 tff(26166,assumption,(~v84(constB73, bitIndex1)), introduced(assumption)).
% 136.10/86.83 tff(26167,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB73, bitIndex1) | (~v115(constB73)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB73, bitIndex1) | (~v115(constB73)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26168,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB73, bitIndex1) | (~v115(constB73)))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26169,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB73, bitIndex1) | (~v115(constB73))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26168, 26167])).
% 136.10/86.83 tff(26170,plain,
% 136.10/86.83 ($false),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26169, 11343, 26166, 26165])).
% 136.10/86.83 tff(26171,plain,(v84(constB73, bitIndex1) | (~v115(constB73))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.83 tff(26172,plain,
% 136.10/86.83 (~v115(constB73)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26171, 26164])).
% 136.10/86.83 tff(26173,assumption,(~v84(constB73, bitIndex0)), introduced(assumption)).
% 136.10/86.83 tff(26174,assumption,(~v102(constB71)), introduced(assumption)).
% 136.10/86.83 tff(26175,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB71) | (~v106(constB71)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB71) | (~v106(constB71)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26176,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB71) | (~v106(constB71)))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26177,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB71) | (~v106(constB71))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26176, 26175])).
% 136.10/86.83 tff(26178,plain,
% 136.10/86.83 (~v106(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26177, 619, 26174])).
% 136.10/86.83 tff(26179,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB71) | (~v26(constB71)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB71) | (~v26(constB71)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26180,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB71) | (~v26(constB71)))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26181,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB71) | (~v26(constB71))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26180, 26179])).
% 136.10/86.83 tff(26182,plain,
% 136.10/86.83 (~v26(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26181, 630, 26174])).
% 136.10/86.83 tff(26183,assumption,(v107(constB71)), introduced(assumption)).
% 136.10/86.83 tff(26184,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26185,plain,
% 136.10/86.83 ((v26(constB71) | (~v107(constB71)) | v106(constB71)) <=> (v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 136.10/86.83 inference(rewrite,[status(thm)],[])).
% 136.10/86.83 tff(26186,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | v106(constB71) | (~v107(constB71))))),
% 136.10/86.83 inference(monotonicity,[status(thm)],[26185])).
% 136.10/86.83 tff(26187,plain,
% 136.10/86.83 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71)))),
% 136.10/86.83 inference(transitivity,[status(thm)],[26186, 26184])).
% 136.10/86.83 tff(26188,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB71) | (~v107(constB71)) | v106(constB71))),
% 136.10/86.83 inference(quant_inst,[status(thm)],[])).
% 136.10/86.83 tff(26189,plain,
% 136.10/86.83 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB71) | v106(constB71) | (~v107(constB71))),
% 136.10/86.83 inference(modus_ponens,[status(thm)],[26188, 26187])).
% 136.10/86.83 tff(26190,plain,
% 136.10/86.83 (v26(constB71) | v106(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26189, 644, 26183])).
% 136.10/86.83 tff(26191,plain,
% 136.10/86.83 ($false),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26190, 26182, 26178])).
% 136.10/86.83 tff(26192,plain,(v102(constB71) | (~v107(constB71))), inference(lemma,lemma(discharge,[]))).
% 136.10/86.83 tff(26193,plain,
% 136.10/86.83 (~v107(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26192, 26090])).
% 136.10/86.83 tff(26194,plain,
% 136.10/86.83 (~v108(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26104, 658, 26193])).
% 136.10/86.83 tff(26195,plain,
% 136.10/86.83 (~v109(constB71)),
% 136.10/86.83 inference(unit_resolution,[status(thm)],[26113, 669, 26194])).
% 136.19/86.83 tff(26196,assumption,(~v115(constB73)), introduced(assumption)).
% 136.19/86.83 tff(26197,plain,
% 136.19/86.83 (~v84(constB72, bitIndex2)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26045, 777, 767, 26030, 26042, 26024])).
% 136.19/86.83 tff(26198,plain,
% 136.19/86.83 (~v84(constB71, bitIndex2)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26019, 777, 767, 25997, 26013, 26197])).
% 136.19/86.83 tff(26199,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB72, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB72, bitIndex0)))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26200,plain,
% 136.19/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB72, bitIndex0)))),
% 136.19/86.83 inference(quant_inst,[status(thm)],[])).
% 136.19/86.83 tff(26201,plain,
% 136.19/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB72, bitIndex0))),
% 136.19/86.83 inference(modus_ponens,[status(thm)],[26200, 26199])).
% 136.19/86.83 tff(26202,plain,
% 136.19/86.83 (~v84(constB72, bitIndex0)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26201, 777, 795, 26030, 26042, 26173])).
% 136.19/86.83 tff(26203,plain,
% 136.19/86.83 (~v84(constB71, bitIndex0)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26097, 777, 795, 25997, 26013, 26202])).
% 136.19/86.83 tff(26204,plain,
% 136.19/86.83 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v115(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v115(constB73))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26205,plain,
% 136.19/86.83 ((v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v115(constB73)) <=> (v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v115(constB73))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26206,plain,
% 136.19/86.83 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v115(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v115(constB73)))),
% 136.19/86.83 inference(monotonicity,[status(thm)],[26205])).
% 136.19/86.83 tff(26207,plain,
% 136.19/86.83 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v115(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v115(constB73))),
% 136.19/86.83 inference(transitivity,[status(thm)],[26206, 26204])).
% 136.19/86.83 tff(26208,plain,
% 136.19/86.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v115(constB73))),
% 136.19/86.83 inference(quant_inst,[status(thm)],[])).
% 136.19/86.83 tff(26209,plain,
% 136.19/86.83 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v115(constB73)),
% 136.19/86.83 inference(modus_ponens,[status(thm)],[26208, 26207])).
% 136.19/86.83 tff(26210,plain,
% 136.19/86.83 (v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1))),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26209, 1095, 26196])).
% 136.19/86.83 tff(26211,plain,
% 136.19/86.83 (~v84(constB73, bitIndex1)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26210, 26173, 26024])).
% 136.19/86.83 tff(26212,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB72, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB72, bitIndex1)))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26213,plain,
% 136.19/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB72, bitIndex1)))),
% 136.19/86.83 inference(quant_inst,[status(thm)],[])).
% 136.19/86.83 tff(26214,plain,
% 136.19/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB72, bitIndex1))),
% 136.19/86.83 inference(modus_ponens,[status(thm)],[26213, 26212])).
% 136.19/86.83 tff(26215,plain,
% 136.19/86.83 (~v84(constB72, bitIndex1)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26214, 777, 823, 26030, 26042, 26211])).
% 136.19/86.83 tff(26216,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB71, bitIndex1)) | v84(constB72, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB71, bitIndex1)) | v84(constB72, bitIndex1))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26217,plain,
% 136.19/86.83 (((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB71, bitIndex1))) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB71, bitIndex1)) | v84(constB72, bitIndex1))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26218,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB71, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB71, bitIndex1)) | v84(constB72, bitIndex1)))),
% 136.19/86.83 inference(monotonicity,[status(thm)],[26217])).
% 136.19/86.83 tff(26219,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB71, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB71, bitIndex1)) | v84(constB72, bitIndex1))),
% 136.19/86.83 inference(transitivity,[status(thm)],[26218, 26216])).
% 136.19/86.83 tff(26220,plain,
% 136.19/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB72, bitIndex1) | (~v84(constB71, bitIndex1)))),
% 136.19/86.83 inference(quant_inst,[status(thm)],[])).
% 136.19/86.83 tff(26221,plain,
% 136.19/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB71, bitIndex1)) | v84(constB72, bitIndex1)),
% 136.19/86.83 inference(modus_ponens,[status(thm)],[26220, 26219])).
% 136.19/86.83 tff(26222,plain,
% 136.19/86.83 (~v84(constB71, bitIndex1)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26221, 777, 823, 25997, 26013, 26215])).
% 136.19/86.83 tff(26223,assumption,(~v113(constB71)), introduced(assumption)).
% 136.19/86.83 tff(26224,plain,
% 136.19/86.83 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB71) | v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB71) | v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26225,plain,
% 136.19/86.83 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB71) | v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2))),
% 136.19/86.83 inference(quant_inst,[status(thm)],[])).
% 136.19/86.83 tff(26226,plain,
% 136.19/86.83 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB71) | v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2)),
% 136.19/86.83 inference(modus_ponens,[status(thm)],[26225, 26224])).
% 136.19/86.83 tff(26227,plain,
% 136.19/86.83 (v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26226, 983, 26223])).
% 136.19/86.83 tff(26228,plain,
% 136.19/86.83 ($false),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26227, 26222, 26203, 26198])).
% 136.19/86.83 tff(26229,plain,(v84(constB73, bitIndex0) | v113(constB71) | v94(constB72) | v84(constB73, bitIndex2) | v115(constB73)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.83 tff(26230,plain,
% 136.19/86.83 (v113(constB71)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26229, 26013, 26173, 26024, 26196])).
% 136.19/86.83 tff(26231,plain,
% 136.19/86.83 (v112(constB71)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26131, 969, 26230])).
% 136.19/86.83 tff(26232,plain,
% 136.19/86.83 (v111(constB71)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26127, 702, 26231])).
% 136.19/86.83 tff(26233,plain,
% 136.19/86.83 (v110(constB71)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26121, 691, 26232])).
% 136.19/86.83 tff(26234,plain,
% 136.19/86.83 ($false),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26109, 680, 26233, 26195])).
% 136.19/86.83 tff(26235,plain,(v94(constB72) | v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | v115(constB73)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.83 tff(26236,plain,
% 136.19/86.83 (v84(constB73, bitIndex2)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26235, 26013, 26173, 26172])).
% 136.19/86.83 tff(26237,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB73, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB73, bitIndex2)))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26238,plain,
% 136.19/86.83 (((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB72, bitIndex2)) <=> ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB73, bitIndex2)))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26239,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB72, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB73, bitIndex2))))),
% 136.19/86.83 inference(monotonicity,[status(thm)],[26238])).
% 136.19/86.83 tff(26240,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB72, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB73, bitIndex2)))),
% 136.19/86.83 inference(transitivity,[status(thm)],[26239, 26237])).
% 136.19/86.83 tff(26241,plain,
% 136.19/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB72, bitIndex2))),
% 136.19/86.83 inference(quant_inst,[status(thm)],[])).
% 136.19/86.83 tff(26242,plain,
% 136.19/86.83 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB72, constB73)) | v94(constB73) | (~less_3(bitIndex2)) | v84(constB72, bitIndex2) | (~v84(constB73, bitIndex2))),
% 136.19/86.83 inference(modus_ponens,[status(thm)],[26241, 26240])).
% 136.19/86.83 tff(26243,plain,
% 136.19/86.83 ($false),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26242, 805, 767, 26030, 26042, 26049, 26012])).
% 136.19/86.83 tff(26244,plain,((~v84(constB73, bitIndex2)) | v84(constB72, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.83 tff(26245,plain,
% 136.19/86.83 (v84(constB72, bitIndex2)),
% 136.19/86.83 inference(unit_resolution,[status(thm)],[26244, 26236])).
% 136.19/86.83 tff(26246,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB72, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB72, bitIndex2)))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26247,plain,
% 136.19/86.83 (((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB72, bitIndex2)) | v84(constB71, bitIndex2)) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB72, bitIndex2)))),
% 136.19/86.83 inference(rewrite,[status(thm)],[])).
% 136.19/86.83 tff(26248,plain,
% 136.19/86.83 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB72, bitIndex2)) | v84(constB71, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB72, bitIndex2))))),
% 136.19/86.84 inference(monotonicity,[status(thm)],[26247])).
% 136.19/86.84 tff(26249,plain,
% 136.19/86.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB72, bitIndex2)) | v84(constB71, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB72, bitIndex2)))),
% 136.19/86.84 inference(transitivity,[status(thm)],[26248, 26246])).
% 136.19/86.84 tff(26250,plain,
% 136.19/86.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | (~v84(constB72, bitIndex2)) | v84(constB71, bitIndex2))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26251,plain,
% 136.19/86.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex2)) | v84(constB71, bitIndex2) | (~v84(constB72, bitIndex2))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26250, 26249])).
% 136.19/86.84 tff(26252,plain,
% 136.19/86.84 (v84(constB71, bitIndex2)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26251, 805, 767, 25997, 26013, 26245])).
% 136.19/86.84 tff(26253,assumption,(v84(constB71, bitIndex1)), introduced(assumption)).
% 136.19/86.84 tff(26254,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26221, 777, 823, 25997, 26013, 26154, 26253])).
% 136.19/86.84 tff(26255,plain,(v84(constB72, bitIndex1) | v94(constB72) | (~v84(constB71, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26256,plain,
% 136.19/86.84 (~v84(constB71, bitIndex1)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26255, 26013, 26154])).
% 136.19/86.84 tff(26257,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26201, 777, 795, 26030, 26042, 26173, 26137])).
% 136.19/86.84 tff(26258,plain,(v84(constB73, bitIndex0) | (~v84(constB72, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26259,plain,
% 136.19/86.84 (~v84(constB72, bitIndex0)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26258, 26173])).
% 136.19/86.84 tff(26260,plain,
% 136.19/86.84 (~v84(constB71, bitIndex0)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26099, 26013, 26259])).
% 136.19/86.84 tff(26261,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v172(constB71))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v172(constB71))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26262,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v172(constB71))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26263,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v172(constB71)),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26262, 26261])).
% 136.19/86.84 tff(26264,plain,
% 136.19/86.84 (v172(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26263, 1047, 26260, 26256, 26252])).
% 136.19/86.84 tff(26265,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB71) | (~v172(constB71)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB71) | (~v172(constB71)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26266,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB71) | (~v172(constB71)))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26267,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB71) | (~v172(constB71))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26266, 26265])).
% 136.19/86.84 tff(26268,plain,
% 136.19/86.84 (v109(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26267, 1033, 26264])).
% 136.19/86.84 tff(26269,plain,
% 136.19/86.84 (v108(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26113, 669, 26268])).
% 136.19/86.84 tff(26270,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26104, 658, 26193, 26269])).
% 136.19/86.84 tff(26271,plain,(v94(constB72) | v84(constB73, bitIndex0) | v84(constB72, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26272,plain,
% 136.19/86.84 (v84(constB72, bitIndex1)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26271, 26153, 26136])).
% 136.19/86.84 tff(26273,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB71) | (~v119(constB71)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB71) | (~v119(constB71)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26274,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB71) | (~v119(constB71)))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26275,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB71) | (~v119(constB71))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26274, 26273])).
% 136.19/86.84 tff(26276,plain,
% 136.19/86.84 (~v119(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26275, 1927, 26101])).
% 136.19/86.84 tff(26277,plain,
% 136.19/86.84 (v94(constB72) | v84(constB71, bitIndex2)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26251, 805, 767, 25997, 26023])).
% 136.19/86.84 tff(26278,plain,
% 136.19/86.84 (v84(constB71, bitIndex2)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26277, 26136])).
% 136.19/86.84 tff(26279,assumption,(v84(constB72, bitIndex1)), introduced(assumption)).
% 136.19/86.84 tff(26280,plain,
% 136.19/86.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB72, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB72, bitIndex1)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26281,plain,
% 136.19/86.84 (((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB72, bitIndex1)) | v84(constB71, bitIndex1)) <=> ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB72, bitIndex1)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26282,plain,
% 136.19/86.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB72, bitIndex1)) | v84(constB71, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB72, bitIndex1))))),
% 136.19/86.84 inference(monotonicity,[status(thm)],[26281])).
% 136.19/86.84 tff(26283,plain,
% 136.19/86.84 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB72, bitIndex1)) | v84(constB71, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB72, bitIndex1)))),
% 136.19/86.84 inference(transitivity,[status(thm)],[26282, 26280])).
% 136.19/86.84 tff(26284,plain,
% 136.19/86.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | (~v84(constB72, bitIndex1)) | v84(constB71, bitIndex1))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26285,plain,
% 136.19/86.84 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB71, constB72)) | v94(constB72) | (~less_3(bitIndex1)) | v84(constB71, bitIndex1) | (~v84(constB72, bitIndex1))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26284, 26283])).
% 136.19/86.84 tff(26286,plain,
% 136.19/86.84 (v94(constB72) | v84(constB71, bitIndex1)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26285, 805, 823, 25997, 26279])).
% 136.19/86.84 tff(26287,plain,
% 136.19/86.84 (v84(constB71, bitIndex1)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26286, 26136])).
% 136.19/86.84 tff(26288,plain,
% 136.19/86.84 (~v84(constB71, bitIndex0)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26099, 26136, 26091])).
% 136.19/86.84 tff(26289,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB71, bitIndex0) | v119(constB71) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB71, bitIndex0) | v119(constB71) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26290,plain,
% 136.19/86.84 ((v84(constB71, bitIndex0) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2)) | v119(constB71)) <=> (v84(constB71, bitIndex0) | v119(constB71) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26291,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB71, bitIndex0) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2)) | v119(constB71))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB71, bitIndex0) | v119(constB71) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2))))),
% 136.19/86.84 inference(monotonicity,[status(thm)],[26290])).
% 136.19/86.84 tff(26292,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB71, bitIndex0) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2)) | v119(constB71))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB71, bitIndex0) | v119(constB71) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2)))),
% 136.19/86.84 inference(transitivity,[status(thm)],[26291, 26289])).
% 136.19/86.84 tff(26293,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB71, bitIndex0) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2)) | v119(constB71))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26294,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB71, bitIndex0) | v119(constB71) | (~v84(constB71, bitIndex1)) | (~v84(constB71, bitIndex2))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 136.19/86.84 tff(26295,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26294, 1910, 26288, 26287, 26278, 26276])).
% 136.19/86.84 tff(26296,plain,(v107(constB71) | (~v84(constB72, bitIndex2)) | (~v84(constB72, bitIndex1)) | v84(constB72, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26297,plain,
% 136.19/86.84 (~v84(constB72, bitIndex2)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26296, 26272, 26101, 26146])).
% 136.19/86.84 tff(26298,plain,
% 136.19/86.84 (~v84(constB71, bitIndex2)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26021, 26297, 26136])).
% 136.19/86.84 tff(26299,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB71) | (~v115(constB71)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB71) | (~v115(constB71)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26300,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB71) | (~v115(constB71)))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26301,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB71) | (~v115(constB71))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26300, 26299])).
% 136.19/86.84 tff(26302,plain,
% 136.19/86.84 (~v115(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26301, 945, 26124])).
% 136.19/86.84 tff(26303,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB71, bitIndex0) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v115(constB71))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB71, bitIndex0) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v115(constB71))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26304,plain,
% 136.19/86.84 ((v84(constB71, bitIndex0) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v115(constB71)) <=> (v84(constB71, bitIndex0) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v115(constB71))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26305,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB71, bitIndex0) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v115(constB71))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB71, bitIndex0) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v115(constB71)))),
% 136.19/86.84 inference(monotonicity,[status(thm)],[26304])).
% 136.19/86.84 tff(26306,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB71, bitIndex0) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v115(constB71))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB71, bitIndex0) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v115(constB71))),
% 136.19/86.84 inference(transitivity,[status(thm)],[26305, 26303])).
% 136.19/86.84 tff(26307,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB71, bitIndex0) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v115(constB71))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26308,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB71, bitIndex0) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v115(constB71)),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26307, 26306])).
% 136.19/86.84 tff(26309,plain,
% 136.19/86.84 (v84(constB71, bitIndex0) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1))),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26308, 1095, 26302])).
% 136.19/86.84 tff(26310,plain,
% 136.19/86.84 (~v84(constB71, bitIndex1)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26309, 26298, 25842])).
% 136.19/86.84 tff(26311,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26226, 983, 26223, 25842, 25772, 25633])).
% 136.19/86.84 tff(26312,plain,(v113(constB71) | v84(constB71, bitIndex0) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26313,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26312, 26310, 26298, 26132, 25842])).
% 136.19/86.84 tff(26314,plain,(v84(constB71, bitIndex0) | v107(constB71)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26315,plain,
% 136.19/86.84 (v107(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26314, 26100])).
% 136.19/86.84 tff(26316,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26192, 26315, 26090])).
% 136.19/86.84 tff(26317,plain,(v94(constB72) | v84(constB72, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26318,plain,
% 136.19/86.84 (v84(constB72, bitIndex0)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26317, 26010])).
% 136.19/86.84 tff(26319,plain,
% 136.19/86.84 (v84(constB73, bitIndex0)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26258, 26318])).
% 136.19/86.84 tff(26320,assumption,(v172(constB73)), introduced(assumption)).
% 136.19/86.84 tff(26321,plain,
% 136.19/86.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB73, bitIndex0)) | (~v172(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB73, bitIndex0)) | (~v172(constB73)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26322,plain,
% 136.19/86.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB73, bitIndex0)) | (~v172(constB73)))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26323,plain,
% 136.19/86.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB73, bitIndex0)) | (~v172(constB73))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26322, 26321])).
% 136.19/86.84 tff(26324,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26323, 7708, 26147, 26320])).
% 136.19/86.84 tff(26325,plain,((~v172(constB73)) | (~v84(constB73, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26326,plain,
% 136.19/86.84 (~v172(constB73)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26325, 26319])).
% 136.19/86.84 tff(26327,assumption,(v124(constB73, bitIndex1)), introduced(assumption)).
% 136.19/86.84 tff(26328,assumption,(~v145(constB73)), introduced(assumption)).
% 136.19/86.84 tff(26329,assumption,(~v172(constB73)), introduced(assumption)).
% 136.19/86.84 tff(26330,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB73)) | (~v124(constB73, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB73)) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26331,plain,
% 136.19/86.84 (((~v116(constB73)) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB73)) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26332,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB73)) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB73)) | (~v124(constB73, bitIndex1))))),
% 136.19/86.84 inference(monotonicity,[status(thm)],[26331])).
% 136.19/86.84 tff(26333,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB73)) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB73)) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(transitivity,[status(thm)],[26332, 26330])).
% 136.19/86.84 tff(26334,plain,
% 136.19/86.84 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB73)) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b100(bitIndex1))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26335,plain,
% 136.19/86.84 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB73)) | (~v124(constB73, bitIndex1))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26334, 26333])).
% 136.19/86.84 tff(26336,plain,
% 136.19/86.84 (~v116(constB73)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26335, 2167, 2164, 823, 26327])).
% 136.19/86.84 tff(26337,plain,
% 136.19/86.84 (v84(constB71, bitIndex0)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26314, 26193])).
% 136.19/86.84 tff(26338,plain,
% 136.19/86.84 (v84(constB72, bitIndex0)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26099, 26337, 26013])).
% 136.19/86.84 tff(26339,plain,
% 136.19/86.84 (v84(constB73, bitIndex0)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26258, 26338])).
% 136.19/86.84 tff(26340,plain,
% 136.19/86.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB73, bitIndex0)) | (~v115(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB73, bitIndex0)) | (~v115(constB73)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26341,plain,
% 136.19/86.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB73, bitIndex0)) | (~v115(constB73)))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26342,plain,
% 136.19/86.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB73, bitIndex0)) | (~v115(constB73))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26341, 26340])).
% 136.19/86.84 tff(26343,plain,
% 136.19/86.84 (~v115(constB73)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26342, 3011, 26339])).
% 136.19/86.84 tff(26344,assumption,(v113(constB73)), introduced(assumption)).
% 136.19/86.84 tff(26345,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB73)) | (~v124(constB73, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB73)) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26346,plain,
% 136.19/86.84 (((~v113(constB73)) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB73)) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26347,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB73)) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB73)) | (~v124(constB73, bitIndex1))))),
% 136.19/86.84 inference(monotonicity,[status(thm)],[26346])).
% 136.19/86.84 tff(26348,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB73)) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB73)) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(transitivity,[status(thm)],[26347, 26345])).
% 136.19/86.84 tff(26349,plain,
% 136.19/86.84 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB73)) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b100(bitIndex1))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26350,plain,
% 136.19/86.84 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB73)) | (~v124(constB73, bitIndex1))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26349, 26348])).
% 136.19/86.84 tff(26351,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26350, 2167, 2186, 823, 26344, 26327])).
% 136.19/86.84 tff(26352,plain,((~v124(constB73, bitIndex1)) | (~v113(constB73))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26353,plain,
% 136.19/86.84 (~v113(constB73)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26352, 26327])).
% 136.19/86.84 tff(26354,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB73) | v113(constB73) | v118(constB73) | v172(constB73) | v116(constB73) | v115(constB73) | (~v124(constB73, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB73) | v113(constB73) | v118(constB73) | v172(constB73) | v116(constB73) | v115(constB73) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26355,plain,
% 136.19/86.84 ((v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB73) | v113(constB73) | v118(constB73) | v172(constB73) | v116(constB73) | v115(constB73) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26356,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB73) | v113(constB73) | v118(constB73) | v172(constB73) | v116(constB73) | v115(constB73) | (~v124(constB73, bitIndex1))))),
% 136.19/86.84 inference(monotonicity,[status(thm)],[26355])).
% 136.19/86.84 tff(26357,plain,
% 136.19/86.84 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB73) | v113(constB73) | v118(constB73) | v172(constB73) | v116(constB73) | v115(constB73) | (~v124(constB73, bitIndex1)))),
% 136.19/86.84 inference(transitivity,[status(thm)],[26356, 26354])).
% 136.19/86.84 tff(26358,plain,
% 136.19/86.84 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB73) | v145(constB73) | v115(constB73) | v116(constB73) | v172(constB73) | v118(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | b001(bitIndex1))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26359,plain,
% 136.19/86.84 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB73) | v113(constB73) | v118(constB73) | v172(constB73) | v116(constB73) | v115(constB73) | (~v124(constB73, bitIndex1))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26358, 26357])).
% 136.19/86.84 tff(26360,plain,
% 136.19/86.84 (v145(constB73) | v118(constB73) | v172(constB73) | v116(constB73) | v115(constB73)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26359, 2601, 2424, 823, 26353, 26327])).
% 136.19/86.84 tff(26361,plain,
% 136.19/86.84 (v118(constB73)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26360, 26343, 26329, 26328, 26336])).
% 136.19/86.84 tff(26362,plain,
% 136.19/86.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB73, bitIndex1)) | (~v118(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB73, bitIndex1)) | (~v118(constB73)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26363,plain,
% 136.19/86.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB73, bitIndex1)) | (~v118(constB73)))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26364,plain,
% 136.19/86.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB73, bitIndex1)) | (~v118(constB73))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26363, 26362])).
% 136.19/86.84 tff(26365,plain,
% 136.19/86.84 (~v84(constB73, bitIndex1)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26364, 2842, 26361])).
% 136.19/86.84 tff(26366,plain,
% 136.19/86.84 ($false),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26214, 777, 823, 26030, 26042, 26166, 26279])).
% 136.19/86.84 tff(26367,plain,(v84(constB73, bitIndex1) | (~v84(constB72, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.84 tff(26368,plain,
% 136.19/86.84 (~v84(constB72, bitIndex1)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26367, 26365])).
% 136.19/86.84 tff(26369,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB71) | (~v118(constB71)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB71) | (~v118(constB71)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26370,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB71) | (~v118(constB71)))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26371,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB71) | (~v118(constB71))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26370, 26369])).
% 136.19/86.84 tff(26372,plain,
% 136.19/86.84 (~v118(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26371, 1004, 26194])).
% 136.19/86.84 tff(26373,plain,
% 136.19/86.84 (~v110(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26115, 26193])).
% 136.19/86.84 tff(26374,plain,
% 136.19/86.84 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB71) | (~v116(constB71)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB71) | (~v116(constB71)))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26375,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB71) | (~v116(constB71)))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26376,plain,
% 136.19/86.84 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB71) | (~v116(constB71))),
% 136.19/86.84 inference(modus_ponens,[status(thm)],[26375, 26374])).
% 136.19/86.84 tff(26377,plain,
% 136.19/86.84 (~v116(constB71)),
% 136.19/86.84 inference(unit_resolution,[status(thm)],[26376, 934, 26373])).
% 136.19/86.84 tff(26378,assumption,(~v116(constB71)), introduced(assumption)).
% 136.19/86.84 tff(26379,plain,
% 136.19/86.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB71) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB71) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26380,plain,
% 136.19/86.84 (((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2) | v145(constB71)) <=> (v145(constB71) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2))),
% 136.19/86.84 inference(rewrite,[status(thm)],[])).
% 136.19/86.84 tff(26381,plain,
% 136.19/86.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2) | v145(constB71))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB71) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2)))),
% 136.19/86.84 inference(monotonicity,[status(thm)],[26380])).
% 136.19/86.84 tff(26382,plain,
% 136.19/86.84 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2) | v145(constB71))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB71) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2))),
% 136.19/86.84 inference(transitivity,[status(thm)],[26381, 26379])).
% 136.19/86.84 tff(26383,plain,
% 136.19/86.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2) | v145(constB71))),
% 136.19/86.84 inference(quant_inst,[status(thm)],[])).
% 136.19/86.84 tff(26384,plain,
% 136.19/86.84 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB71) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | v84(constB71, bitIndex2)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26383, 26382])).
% 136.19/86.85 tff(26385,plain,
% 136.19/86.85 (v84(constB71, bitIndex1) | v84(constB71, bitIndex2)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26384, 865, 25869, 25702])).
% 136.19/86.85 tff(26386,plain,
% 136.19/86.85 (v84(constB71, bitIndex1)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26385, 25633])).
% 136.19/86.85 tff(26387,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v116(constB71))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v116(constB71))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26388,plain,
% 136.19/86.85 (((~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71)) <=> ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v116(constB71))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26389,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v116(constB71)))),
% 136.19/86.85 inference(monotonicity,[status(thm)],[26388])).
% 136.19/86.85 tff(26390,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v116(constB71))),
% 136.19/86.85 inference(transitivity,[status(thm)],[26389, 26387])).
% 136.19/86.85 tff(26391,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex1)) | v84(constB71, bitIndex2) | v116(constB71))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26392,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v116(constB71)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26391, 26390])).
% 136.19/86.85 tff(26393,plain,
% 136.19/86.85 (v84(constB71, bitIndex2) | (~v84(constB71, bitIndex1)) | v116(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26392, 1076, 25702])).
% 136.19/86.85 tff(26394,plain,
% 136.19/86.85 ($false),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26393, 26386, 25633, 26378])).
% 136.19/86.85 tff(26395,plain,(v84(constB71, bitIndex2) | v116(constB71) | (~v84(constB71, bitIndex0)) | v145(constB71)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.85 tff(26396,plain,
% 136.19/86.85 (v84(constB71, bitIndex2)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26395, 26377, 25869, 26337])).
% 136.19/86.85 tff(26397,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26398,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26399,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB71, bitIndex0)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26398, 26397])).
% 136.19/86.85 tff(26400,plain,
% 136.19/86.85 (v84(constB71, bitIndex1) | (~v84(constB71, bitIndex2)) | v118(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26399, 1018, 26337])).
% 136.19/86.85 tff(26401,plain,
% 136.19/86.85 (v84(constB71, bitIndex1)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26400, 26396, 26372])).
% 136.19/86.85 tff(26402,plain,
% 136.19/86.85 ($false),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26255, 26401, 26368, 26013])).
% 136.19/86.85 tff(26403,plain,(v94(constB72) | v145(constB71) | v172(constB73) | v145(constB73) | (~v124(constB73, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.85 tff(26404,plain,
% 136.19/86.85 (v145(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26403, 26013, 26329, 26328, 26327])).
% 136.19/86.85 tff(26405,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB71) | (~v145(constB71)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB71) | (~v145(constB71)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26406,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB71) | (~v145(constB71)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26407,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB71) | (~v145(constB71))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26406, 26405])).
% 136.19/86.85 tff(26408,plain,
% 136.19/86.85 (v112(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26407, 713, 25694])).
% 136.19/86.85 tff(26409,plain,
% 136.19/86.85 (v111(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26127, 702, 26408])).
% 136.19/86.85 tff(26410,plain,
% 136.19/86.85 (v110(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26121, 691, 26409])).
% 136.19/86.85 tff(26411,plain,
% 136.19/86.85 (v109(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26109, 680, 26410])).
% 136.19/86.85 tff(26412,plain,
% 136.19/86.85 (v108(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26113, 669, 26411])).
% 136.19/86.85 tff(26413,plain,
% 136.19/86.85 (v107(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26104, 658, 26412])).
% 136.19/86.85 tff(26414,plain,
% 136.19/86.85 (v102(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26192, 26413])).
% 136.19/86.85 tff(26415,plain,
% 136.19/86.85 (v104(constB72)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26089, 26414])).
% 136.19/86.85 tff(26416,plain,
% 136.19/86.85 (v94(constB72)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26081, 26415])).
% 136.19/86.85 tff(26417,plain,
% 136.19/86.85 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB72)) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB72)) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26418,plain,
% 136.19/86.85 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB72)) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26419,plain,
% 136.19/86.85 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB72)) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26418, 26417])).
% 136.19/86.85 tff(26420,plain,
% 136.19/86.85 ((~v94(constB72)) | v123(constB72, bitIndex0)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26419, 1344, 795, 26137])).
% 136.19/86.85 tff(26421,plain,
% 136.19/86.85 (v123(constB72, bitIndex0)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26420, 26416])).
% 136.19/86.85 tff(26422,plain,
% 136.19/86.85 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB71, constB72)) | (~less_3(bitIndex0)) | (~v123(constB72, bitIndex0)) | v121(constB71, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB71, constB72)) | (~less_3(bitIndex0)) | (~v123(constB72, bitIndex0)) | v121(constB71, bitIndex0))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26423,plain,
% 136.19/86.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB71, constB72)) | (~less_3(bitIndex0)) | (~v123(constB72, bitIndex0)) | v121(constB71, bitIndex0))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26424,plain,
% 136.19/86.85 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB71, constB72)) | (~less_3(bitIndex0)) | (~v123(constB72, bitIndex0)) | v121(constB71, bitIndex0)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26423, 26422])).
% 136.19/86.85 tff(26425,plain,
% 136.19/86.85 (v121(constB71, bitIndex0)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26424, 1362, 795, 25997, 26421])).
% 136.19/86.85 tff(26426,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB71)) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB71)) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26427,plain,
% 136.19/86.85 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB71)) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26428,plain,
% 136.19/86.85 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB71)) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26427, 26426])).
% 136.19/86.85 tff(26429,plain,
% 136.19/86.85 (~v26(constB71)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26428, 1398, 795, 26425])).
% 136.19/86.85 tff(26430,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB71) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB71) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26431,plain,
% 136.19/86.85 ((v26(constB71) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0))) <=> (v26(constB71) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26432,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB71) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB71) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0)))),
% 136.19/86.85 inference(monotonicity,[status(thm)],[26431])).
% 136.19/86.85 tff(26433,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB71) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB71) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0))),
% 136.19/86.85 inference(transitivity,[status(thm)],[26432, 26430])).
% 136.19/86.85 tff(26434,plain,
% 136.19/86.85 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB71) | (~less_3(bitIndex0)) | v124(constB71, bitIndex0) | (~v121(constB71, bitIndex0)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26435,plain,
% 136.19/86.85 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB71) | (~less_3(bitIndex0)) | (~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26434, 26433])).
% 136.19/86.85 tff(26436,plain,
% 136.19/86.85 (v124(constB71, bitIndex0)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26435, 1380, 795, 26429, 26425])).
% 136.19/86.85 tff(26437,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB71)) | (~v124(constB71, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26438,plain,
% 136.19/86.85 (((~v145(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26439,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB71)) | (~v124(constB71, bitIndex0))))),
% 136.19/86.85 inference(monotonicity,[status(thm)],[26438])).
% 136.19/86.85 tff(26440,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB71)) | (~v124(constB71, bitIndex0)))),
% 136.19/86.85 inference(transitivity,[status(thm)],[26439, 26437])).
% 136.19/86.85 tff(26441,plain,
% 136.19/86.85 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB71)) | (~less_3(bitIndex0)) | (~v124(constB71, bitIndex0)) | b010(bitIndex0))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26442,plain,
% 136.19/86.85 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB71)) | (~v124(constB71, bitIndex0))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26441, 26440])).
% 136.19/86.85 tff(26443,plain,
% 136.19/86.85 ($false),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26442, 2299, 1416, 795, 25694, 26436])).
% 136.19/86.85 tff(26444,plain,((~v145(constB71)) | (~v84(constB72, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.85 tff(26445,plain,
% 136.19/86.85 (~v84(constB72, bitIndex0)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26444, 26404])).
% 136.19/86.85 tff(26446,plain,
% 136.19/86.85 (~v84(constB71, bitIndex0)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26099, 26445, 26013])).
% 136.19/86.85 tff(26447,plain,
% 136.19/86.85 ($false),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26314, 26446, 26193])).
% 136.19/86.85 tff(26448,plain,(v94(constB72) | v172(constB73) | v145(constB73) | (~v124(constB73, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.85 tff(26449,plain,
% 136.19/86.85 (~v124(constB73, bitIndex1)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26448, 26326, 26010, 26059])).
% 136.19/86.85 tff(26450,assumption,(v121(constB73, bitIndex1)), introduced(assumption)).
% 136.19/86.85 tff(26451,assumption,(~v124(constB73, bitIndex1)), introduced(assumption)).
% 136.19/86.85 tff(26452,assumption,(v26(constB73)), introduced(assumption)).
% 136.19/86.85 tff(26453,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26454,plain,
% 136.19/86.85 ($false),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26453, 1172, 26452])).
% 136.19/86.85 tff(26455,plain,(~v26(constB73)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.85 tff(26456,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB73) | (~less_3(bitIndex1)) | (~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB73) | (~less_3(bitIndex1)) | (~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26457,plain,
% 136.19/86.85 ((v26(constB73) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1))) <=> (v26(constB73) | (~less_3(bitIndex1)) | (~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26458,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB73) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB73) | (~less_3(bitIndex1)) | (~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1)))),
% 136.19/86.85 inference(monotonicity,[status(thm)],[26457])).
% 136.19/86.85 tff(26459,plain,
% 136.19/86.85 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB73) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB73) | (~less_3(bitIndex1)) | (~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1))),
% 136.19/86.85 inference(transitivity,[status(thm)],[26458, 26456])).
% 136.19/86.85 tff(26460,plain,
% 136.19/86.85 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB73) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~v121(constB73, bitIndex1)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26461,plain,
% 136.19/86.85 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB73) | (~less_3(bitIndex1)) | (~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26460, 26459])).
% 136.19/86.85 tff(26462,plain,
% 136.19/86.85 ($false),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26461, 1380, 823, 26455, 26451, 26450])).
% 136.19/86.85 tff(26463,plain,((~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.85 tff(26464,plain,
% 136.19/86.85 (~v121(constB73, bitIndex1)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26463, 26449])).
% 136.19/86.85 tff(26465,assumption,(v94(constB74)), introduced(assumption)).
% 136.19/86.85 tff(26466,plain,
% 136.19/86.85 (v84(constB72, bitIndex1)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26255, 26010, 25960])).
% 136.19/86.85 tff(26467,plain,
% 136.19/86.85 (v84(constB73, bitIndex1)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26367, 26466])).
% 136.19/86.85 tff(26468,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB73)) | (~v84(constB73, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB73)) | (~v84(constB73, bitIndex1)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26469,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB73)) | (~v84(constB73, bitIndex1)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26470,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB73)) | (~v84(constB73, bitIndex1))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26469, 26468])).
% 136.19/86.85 tff(26471,plain,
% 136.19/86.85 (~v113(constB73)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26470, 1465, 26155])).
% 136.19/86.85 tff(26472,assumption,(~v84(constB75, bitIndex1)), introduced(assumption)).
% 136.19/86.85 tff(26473,assumption,(~v107(constB77)), introduced(assumption)).
% 136.19/86.85 tff(26474,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB77) | (~v108(constB77)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB77) | (~v108(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26475,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB77) | (~v108(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26476,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB77) | (~v108(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26475, 26474])).
% 136.19/86.85 tff(26477,plain,
% 136.19/86.85 (~v108(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26476, 658, 26473])).
% 136.19/86.85 tff(26478,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB77) | (~v109(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB77) | (~v109(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26479,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB77) | (~v109(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26480,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB77) | (~v109(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26479, 26478])).
% 136.19/86.85 tff(26481,plain,
% 136.19/86.85 (~v109(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26480, 669, 26477])).
% 136.19/86.85 tff(26482,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB77) | (~v110(constB77)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB77) | (~v110(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26483,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB77) | (~v110(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26484,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB77) | (~v110(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26483, 26482])).
% 136.19/86.85 tff(26485,plain,
% 136.19/86.85 (~v110(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26484, 680, 26481])).
% 136.19/86.85 tff(26486,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB77) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB77) | (~v116(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26487,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB77) | (~v116(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26488,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB77) | (~v116(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26487, 26486])).
% 136.19/86.85 tff(26489,plain,
% 136.19/86.85 (~v116(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26488, 934, 26485])).
% 136.19/86.85 tff(26490,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB77) | (~v119(constB77)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB77) | (~v119(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26491,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB77) | (~v119(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26492,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB77) | (~v119(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26491, 26490])).
% 136.19/86.85 tff(26493,plain,
% 136.19/86.85 (~v119(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26492, 1927, 26473])).
% 136.19/86.85 tff(26494,assumption,(~v108(constB77)), introduced(assumption)).
% 136.19/86.85 tff(26495,plain,
% 136.19/86.85 (~v109(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26480, 669, 26494])).
% 136.19/86.85 tff(26496,plain,
% 136.19/86.85 (~v110(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26484, 680, 26495])).
% 136.19/86.85 tff(26497,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB77) | (~v111(constB77)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB77) | (~v111(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26498,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB77) | (~v111(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26499,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB77) | (~v111(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26498, 26497])).
% 136.19/86.85 tff(26500,plain,
% 136.19/86.85 (~v111(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26499, 691, 26496])).
% 136.19/86.85 tff(26501,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB77) | (~v112(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26502,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB77) | (~v112(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26503,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB77) | (~v112(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26502, 26501])).
% 136.19/86.85 tff(26504,plain,
% 136.19/86.85 (~v112(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26503, 702, 26500])).
% 136.19/86.85 tff(26505,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB77) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB77) | (~v145(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26506,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB77) | (~v145(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26507,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB77) | (~v145(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26506, 26505])).
% 136.19/86.85 tff(26508,plain,
% 136.19/86.85 (~v145(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26507, 713, 26504])).
% 136.19/86.85 tff(26509,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB77) | (~v172(constB77)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB77) | (~v172(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26510,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB77) | (~v172(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26511,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB77) | (~v172(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26510, 26509])).
% 136.19/86.85 tff(26512,plain,
% 136.19/86.85 (~v172(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26511, 1033, 26495])).
% 136.19/86.85 tff(26513,assumption,(~v84(constB77, bitIndex1)), introduced(assumption)).
% 136.19/86.85 tff(26514,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB77) | (~v113(constB77)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB77) | (~v113(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26515,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB77) | (~v113(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26516,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB77) | (~v113(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26515, 26514])).
% 136.19/86.85 tff(26517,plain,
% 136.19/86.85 (~v113(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26516, 969, 26504])).
% 136.19/86.85 tff(26518,assumption,(~v113(constB77)), introduced(assumption)).
% 136.19/86.85 tff(26519,assumption,(~v84(constB77, bitIndex0)), introduced(assumption)).
% 136.19/86.85 tff(26520,assumption,(~v172(constB77)), introduced(assumption)).
% 136.19/86.85 tff(26521,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v172(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v172(constB77))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26522,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v172(constB77))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26523,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v172(constB77)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26522, 26521])).
% 136.19/86.85 tff(26524,plain,
% 136.19/86.85 (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex2)) | v172(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26523, 1047, 26513])).
% 136.19/86.85 tff(26525,plain,
% 136.19/86.85 (~v84(constB77, bitIndex2)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26524, 26519, 26520])).
% 136.19/86.85 tff(26526,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26527,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26528,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26527, 26526])).
% 136.19/86.85 tff(26529,plain,
% 136.19/86.85 (v113(constB77) | v84(constB77, bitIndex0) | v84(constB77, bitIndex2)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26528, 983, 26513])).
% 136.19/86.85 tff(26530,plain,
% 136.19/86.85 ($false),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26529, 26525, 26519, 26518])).
% 136.19/86.85 tff(26531,plain,(v84(constB77, bitIndex0) | v113(constB77) | v84(constB77, bitIndex1) | v172(constB77)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.85 tff(26532,plain,
% 136.19/86.85 (v84(constB77, bitIndex0)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26531, 26517, 26513, 26512])).
% 136.19/86.85 tff(26533,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB77) | (~v118(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB77) | (~v118(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26534,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB77) | (~v118(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26535,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB77) | (~v118(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26534, 26533])).
% 136.19/86.85 tff(26536,plain,
% 136.19/86.85 (~v118(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26535, 1004, 26494])).
% 136.19/86.85 tff(26537,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v118(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v118(constB77))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26538,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v118(constB77))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26539,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex2)) | v118(constB77)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26538, 26537])).
% 136.19/86.85 tff(26540,plain,
% 136.19/86.85 ((~v84(constB77, bitIndex0)) | (~v84(constB77, bitIndex2)) | v118(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26539, 1018, 26513])).
% 136.19/86.85 tff(26541,plain,
% 136.19/86.85 (~v84(constB77, bitIndex2)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26540, 26532, 26536])).
% 136.19/86.85 tff(26542,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB77) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB77) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26543,plain,
% 136.19/86.85 (((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77)) <=> (v145(constB77) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26544,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB77) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2)))),
% 136.19/86.85 inference(monotonicity,[status(thm)],[26543])).
% 136.19/86.85 tff(26545,plain,
% 136.19/86.85 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB77) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2))),
% 136.19/86.85 inference(transitivity,[status(thm)],[26544, 26542])).
% 136.19/86.85 tff(26546,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | v145(constB77))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26547,plain,
% 136.19/86.85 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB77) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex1) | v84(constB77, bitIndex2)),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26546, 26545])).
% 136.19/86.85 tff(26548,plain,
% 136.19/86.85 (v145(constB77) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26547, 865, 26513])).
% 136.19/86.85 tff(26549,plain,
% 136.19/86.85 ($false),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26548, 26541, 26532, 26508])).
% 136.19/86.85 tff(26550,plain,(v108(constB77) | v84(constB77, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.85 tff(26551,plain,
% 136.19/86.85 (v84(constB77, bitIndex1)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26550, 26477])).
% 136.19/86.85 tff(26552,plain,
% 136.19/86.85 (~v111(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26499, 691, 26485])).
% 136.19/86.85 tff(26553,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB77) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB77) | (~v115(constB77)))),
% 136.19/86.85 inference(rewrite,[status(thm)],[])).
% 136.19/86.85 tff(26554,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB77) | (~v115(constB77)))),
% 136.19/86.85 inference(quant_inst,[status(thm)],[])).
% 136.19/86.85 tff(26555,plain,
% 136.19/86.85 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB77) | (~v115(constB77))),
% 136.19/86.85 inference(modus_ponens,[status(thm)],[26554, 26553])).
% 136.19/86.85 tff(26556,plain,
% 136.19/86.85 (~v115(constB77)),
% 136.19/86.85 inference(unit_resolution,[status(thm)],[26555, 945, 26552])).
% 136.19/86.85 tff(26557,assumption,(~v115(constB77)), introduced(assumption)).
% 136.19/86.85 tff(26558,assumption,(~v119(constB77)), introduced(assumption)).
% 136.19/86.85 tff(26559,assumption,(v84(constB77, bitIndex1)), introduced(assumption)).
% 136.19/86.85 tff(26560,plain,
% 136.19/86.85 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB77, bitIndex0) | v119(constB77) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB77, bitIndex0) | v119(constB77) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26561,plain,
% 136.19/86.86 ((v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)) | v119(constB77)) <=> (v84(constB77, bitIndex0) | v119(constB77) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26562,plain,
% 136.19/86.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)) | v119(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB77, bitIndex0) | v119(constB77) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2))))),
% 136.19/86.86 inference(monotonicity,[status(thm)],[26561])).
% 136.19/86.86 tff(26563,plain,
% 136.19/86.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)) | v119(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB77, bitIndex0) | v119(constB77) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)))),
% 136.19/86.86 inference(transitivity,[status(thm)],[26562, 26560])).
% 136.19/86.86 tff(26564,plain,
% 136.19/86.86 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2)) | v119(constB77))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26565,plain,
% 136.19/86.86 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB77, bitIndex0) | v119(constB77) | (~v84(constB77, bitIndex1)) | (~v84(constB77, bitIndex2))),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26564, 26563])).
% 136.19/86.86 tff(26566,plain,
% 136.19/86.86 (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex2))),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26565, 1910, 26559, 26558])).
% 136.19/86.86 tff(26567,plain,
% 136.19/86.86 (~v84(constB77, bitIndex2)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26566, 26519])).
% 136.19/86.86 tff(26568,plain,
% 136.19/86.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v115(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v115(constB77))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26569,plain,
% 136.19/86.86 ((v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77)) <=> (v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v115(constB77))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26570,plain,
% 136.19/86.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v115(constB77)))),
% 136.19/86.86 inference(monotonicity,[status(thm)],[26569])).
% 136.19/86.86 tff(26571,plain,
% 136.19/86.86 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v115(constB77))),
% 136.19/86.86 inference(transitivity,[status(thm)],[26570, 26568])).
% 136.19/86.86 tff(26572,plain,
% 136.19/86.86 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v115(constB77))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26573,plain,
% 136.19/86.86 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v115(constB77)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26572, 26571])).
% 136.19/86.86 tff(26574,plain,
% 136.19/86.86 (v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | v115(constB77)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26573, 1095, 26559])).
% 136.19/86.86 tff(26575,plain,
% 136.19/86.86 ($false),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26574, 26567, 26519, 26557])).
% 136.19/86.86 tff(26576,plain,(v84(constB77, bitIndex0) | v115(constB77) | (~v84(constB77, bitIndex1)) | v119(constB77)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.86 tff(26577,plain,
% 136.19/86.86 (v84(constB77, bitIndex0)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26576, 26556, 26551, 26493])).
% 136.19/86.86 tff(26578,plain,
% 136.19/86.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v116(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v116(constB77))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26579,plain,
% 136.19/86.86 (((~v84(constB77, bitIndex0)) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v116(constB77)) <=> ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v116(constB77))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26580,plain,
% 136.19/86.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB77, bitIndex0)) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v116(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v116(constB77)))),
% 136.19/86.86 inference(monotonicity,[status(thm)],[26579])).
% 136.19/86.86 tff(26581,plain,
% 136.19/86.86 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB77, bitIndex0)) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v116(constB77))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v116(constB77))),
% 136.19/86.86 inference(transitivity,[status(thm)],[26580, 26578])).
% 136.19/86.86 tff(26582,plain,
% 136.19/86.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB77, bitIndex0)) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex2) | v116(constB77))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26583,plain,
% 136.19/86.86 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v116(constB77)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26582, 26581])).
% 136.19/86.86 tff(26584,plain,
% 136.19/86.86 ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | v116(constB77)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26583, 1076, 26551])).
% 136.19/86.86 tff(26585,plain,
% 136.19/86.86 (v84(constB77, bitIndex2)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26584, 26577, 26489])).
% 136.19/86.86 tff(26586,plain,
% 136.19/86.86 ((~v1(constB77)) <=> (~v1(constB77))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26587,axiom,(~v1(constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_77_1_1')).
% 136.19/86.86 tff(26588,plain,
% 136.19/86.86 (~v1(constB77)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26587, 26586])).
% 136.19/86.86 tff(26589,plain,
% 136.19/86.86 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26590,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_76_1')).
% 136.19/86.86 tff(26591,plain,
% 136.19/86.86 (nextState(constB76, constB77)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26590, 26589])).
% 136.19/86.86 tff(26592,plain,
% 136.19/86.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26593,plain,
% 136.19/86.86 (((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77)) <=> (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26594,plain,
% 136.19/86.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))))),
% 136.19/86.86 inference(monotonicity,[status(thm)],[26593])).
% 136.19/86.86 tff(26595,plain,
% 136.19/86.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77)))),
% 136.19/86.86 inference(transitivity,[status(thm)],[26594, 26592])).
% 136.19/86.86 tff(26596,plain,
% 136.19/86.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB76, constB77)) | (~v95(constB77)) | v1(constB77))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26597,plain,
% 136.19/86.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB77) | (~nextState(constB76, constB77)) | (~v95(constB77))),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26596, 26595])).
% 136.19/86.86 tff(26598,plain,
% 136.19/86.86 (~v95(constB77)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26597, 742, 26591, 26588])).
% 136.19/86.86 tff(26599,plain,
% 136.19/86.86 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26600,plain,
% 136.19/86.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77)))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26601,plain,
% 136.19/86.86 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB76, constB77)) | v95(constB77) | (~v94(constB77))),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26600, 26599])).
% 136.19/86.86 tff(26602,plain,
% 136.19/86.86 (v95(constB77) | (~v94(constB77))),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26601, 759, 26591])).
% 136.19/86.86 tff(26603,plain,
% 136.19/86.86 (~v94(constB77)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26602, 26598])).
% 136.19/86.86 tff(26604,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex2)) | (~v84(constB77, bitIndex2)) | v84(constB76, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex2)) | (~v84(constB77, bitIndex2)) | v84(constB76, bitIndex2))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26605,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex2)) | (~v84(constB77, bitIndex2)) | v84(constB76, bitIndex2))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26606,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex2)) | (~v84(constB77, bitIndex2)) | v84(constB76, bitIndex2)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26605, 26604])).
% 136.19/86.86 tff(26607,plain,
% 136.19/86.86 (v84(constB76, bitIndex2)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26606, 805, 767, 26591, 26603, 26585])).
% 136.19/86.86 tff(26608,assumption,(~v84(constB76, bitIndex1)), introduced(assumption)).
% 136.19/86.86 tff(26609,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex1)) | (~v84(constB77, bitIndex1)) | v84(constB76, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex1)) | (~v84(constB77, bitIndex1)) | v84(constB76, bitIndex1))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26610,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex1)) | (~v84(constB77, bitIndex1)) | v84(constB76, bitIndex1))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26611,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex1)) | (~v84(constB77, bitIndex1)) | v84(constB76, bitIndex1)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26610, 26609])).
% 136.19/86.86 tff(26612,plain,
% 136.19/86.86 ($false),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26611, 805, 823, 26591, 26603, 26608, 26559])).
% 136.19/86.86 tff(26613,plain,((~v84(constB77, bitIndex1)) | v84(constB76, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.86 tff(26614,plain,
% 136.19/86.86 (v84(constB76, bitIndex1)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26613, 26551])).
% 136.19/86.86 tff(26615,assumption,(v84(constB76, bitIndex1)), introduced(assumption)).
% 136.19/86.86 tff(26616,assumption,(~v94(constB76)), introduced(assumption)).
% 136.19/86.86 tff(26617,plain,
% 136.19/86.86 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26618,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_75_1')).
% 136.19/86.86 tff(26619,plain,
% 136.19/86.86 (nextState(constB75, constB76)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26618, 26617])).
% 136.19/86.86 tff(26620,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB76, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB76, bitIndex1)))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26621,plain,
% 136.19/86.86 (((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB76, bitIndex1)) | v84(constB75, bitIndex1)) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB76, bitIndex1)))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26622,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB76, bitIndex1)) | v84(constB75, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB76, bitIndex1))))),
% 136.19/86.86 inference(monotonicity,[status(thm)],[26621])).
% 136.19/86.86 tff(26623,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB76, bitIndex1)) | v84(constB75, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB76, bitIndex1)))),
% 136.19/86.86 inference(transitivity,[status(thm)],[26622, 26620])).
% 136.19/86.86 tff(26624,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB76, bitIndex1)) | v84(constB75, bitIndex1))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26625,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB76, bitIndex1))),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26624, 26623])).
% 136.19/86.86 tff(26626,plain,
% 136.19/86.86 ($false),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26625, 805, 823, 26619, 26616, 26615, 26472])).
% 136.19/86.86 tff(26627,plain,((~v84(constB76, bitIndex1)) | v94(constB76) | v84(constB75, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.86 tff(26628,plain,
% 136.19/86.86 (v94(constB76)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26627, 26614, 26472])).
% 136.19/86.86 tff(26629,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB76)) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB76)) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26630,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB76)) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26631,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB76)) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26630, 26629])).
% 136.19/86.86 tff(26632,plain,
% 136.19/86.86 (v123(constB76, bitIndex2)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26631, 1344, 767, 26628, 26607])).
% 136.19/86.86 tff(26633,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB75, constB76)) | (~less_3(bitIndex2)) | (~v123(constB76, bitIndex2)) | v121(constB75, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB75, constB76)) | (~less_3(bitIndex2)) | (~v123(constB76, bitIndex2)) | v121(constB75, bitIndex2))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26634,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB75, constB76)) | (~less_3(bitIndex2)) | (~v123(constB76, bitIndex2)) | v121(constB75, bitIndex2))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26635,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB75, constB76)) | (~less_3(bitIndex2)) | (~v123(constB76, bitIndex2)) | v121(constB75, bitIndex2)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26634, 26633])).
% 136.19/86.86 tff(26636,plain,
% 136.19/86.86 (v121(constB75, bitIndex2)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26635, 1362, 767, 26619, 26632])).
% 136.19/86.86 tff(26637,assumption,(v26(constB75)), introduced(assumption)).
% 136.19/86.86 tff(26638,plain,
% 136.19/86.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26639,plain,
% 136.19/86.86 ($false),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26638, 1172, 26637])).
% 136.19/86.86 tff(26640,plain,(~v26(constB75)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.86 tff(26641,plain,
% 136.19/86.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex2)) | (~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex2)) | (~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26642,plain,
% 136.19/86.86 ((v26(constB75) | (~less_3(bitIndex2)) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2))) <=> (v26(constB75) | (~less_3(bitIndex2)) | (~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26643,plain,
% 136.19/86.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex2)) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex2)) | (~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2)))),
% 136.19/86.86 inference(monotonicity,[status(thm)],[26642])).
% 136.19/86.86 tff(26644,plain,
% 136.19/86.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex2)) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex2)) | (~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2))),
% 136.19/86.86 inference(transitivity,[status(thm)],[26643, 26641])).
% 136.19/86.86 tff(26645,plain,
% 136.19/86.86 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex2)) | v124(constB75, bitIndex2) | (~v121(constB75, bitIndex2)))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26646,plain,
% 136.19/86.86 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex2)) | (~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26645, 26644])).
% 136.19/86.86 tff(26647,plain,
% 136.19/86.86 (v124(constB75, bitIndex2)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26646, 1380, 767, 26640, 26636])).
% 136.19/86.86 tff(26648,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB76)) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB76)) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26649,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB76)) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26650,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB76)) | (~v84(constB76, bitIndex1)) | v123(constB76, bitIndex1)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26649, 26648])).
% 136.19/86.86 tff(26651,plain,
% 136.19/86.86 (v123(constB76, bitIndex1)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26650, 1344, 823, 26628, 26614])).
% 136.19/86.86 tff(26652,plain,
% 136.19/86.86 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB75, constB76)) | (~less_3(bitIndex1)) | (~v123(constB76, bitIndex1)) | v121(constB75, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB75, constB76)) | (~less_3(bitIndex1)) | (~v123(constB76, bitIndex1)) | v121(constB75, bitIndex1))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26653,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB75, constB76)) | (~less_3(bitIndex1)) | (~v123(constB76, bitIndex1)) | v121(constB75, bitIndex1))),
% 136.19/86.86 inference(quant_inst,[status(thm)],[])).
% 136.19/86.86 tff(26654,plain,
% 136.19/86.86 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB75, constB76)) | (~less_3(bitIndex1)) | (~v123(constB76, bitIndex1)) | v121(constB75, bitIndex1)),
% 136.19/86.86 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 136.19/86.86 tff(26655,plain,
% 136.19/86.86 (v121(constB75, bitIndex1)),
% 136.19/86.86 inference(unit_resolution,[status(thm)],[26654, 1362, 823, 26619, 26651])).
% 136.19/86.86 tff(26656,plain,
% 136.19/86.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex1)) | (~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex1)) | (~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26657,plain,
% 136.19/86.86 ((v26(constB75) | (~less_3(bitIndex1)) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1))) <=> (v26(constB75) | (~less_3(bitIndex1)) | (~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1))),
% 136.19/86.86 inference(rewrite,[status(thm)],[])).
% 136.19/86.86 tff(26658,plain,
% 136.19/86.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex1)) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex1)) | (~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1)))),
% 136.19/86.86 inference(monotonicity,[status(thm)],[26657])).
% 136.19/86.86 tff(26659,plain,
% 136.19/86.86 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex1)) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex1)) | (~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1))),
% 136.19/86.86 inference(transitivity,[status(thm)],[26658, 26656])).
% 136.19/86.86 tff(26660,plain,
% 136.19/86.86 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex1)) | v124(constB75, bitIndex1) | (~v121(constB75, bitIndex1)))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26661,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex1)) | (~v121(constB75, bitIndex1)) | v124(constB75, bitIndex1)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26660, 26659])).
% 136.19/86.87 tff(26662,plain,
% 136.19/86.87 (v124(constB75, bitIndex1)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26661, 1380, 823, 26640, 26655])).
% 136.19/86.87 tff(26663,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB75)) | (~v124(constB75, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB75)) | (~v124(constB75, bitIndex1)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26664,plain,
% 136.19/86.87 (((~v113(constB75)) | (~less_3(bitIndex1)) | (~v124(constB75, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB75)) | (~v124(constB75, bitIndex1)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26665,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB75)) | (~less_3(bitIndex1)) | (~v124(constB75, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB75)) | (~v124(constB75, bitIndex1))))),
% 136.19/86.87 inference(monotonicity,[status(thm)],[26664])).
% 136.19/86.87 tff(26666,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB75)) | (~less_3(bitIndex1)) | (~v124(constB75, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB75)) | (~v124(constB75, bitIndex1)))),
% 136.19/86.87 inference(transitivity,[status(thm)],[26665, 26663])).
% 136.19/86.87 tff(26667,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB75)) | (~less_3(bitIndex1)) | (~v124(constB75, bitIndex1)) | b100(bitIndex1))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26668,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB75)) | (~v124(constB75, bitIndex1))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26667, 26666])).
% 136.19/86.87 tff(26669,plain,
% 136.19/86.87 (~v113(constB75)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26668, 2167, 2186, 823, 26662])).
% 136.19/86.87 tff(26670,assumption,(~v84(constB75, bitIndex0)), introduced(assumption)).
% 136.19/86.87 tff(26671,plain,
% 136.19/86.87 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26672,plain,
% 136.19/86.87 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26673,plain,
% 136.19/86.87 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB75) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26672, 26671])).
% 136.19/86.87 tff(26674,plain,
% 136.19/86.87 (v84(constB75, bitIndex2)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26673, 983, 26472, 26670, 26669])).
% 136.19/86.87 tff(26675,plain,
% 136.19/86.87 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26676,plain,
% 136.19/86.87 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26677,plain,
% 136.19/86.87 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v172(constB75)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26676, 26675])).
% 136.19/86.87 tff(26678,plain,
% 136.19/86.87 (v172(constB75)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26677, 1047, 26472, 26670, 26674])).
% 136.19/86.87 tff(26679,assumption,(v124(constB75, bitIndex0)), introduced(assumption)).
% 136.19/86.87 tff(26680,assumption,(v172(constB75)), introduced(assumption)).
% 136.19/86.87 tff(26681,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB75)) | (~v124(constB75, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB75)) | (~v124(constB75, bitIndex0)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26682,plain,
% 136.19/86.87 (((~v172(constB75)) | (~less_3(bitIndex0)) | (~v124(constB75, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB75)) | (~v124(constB75, bitIndex0)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26683,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB75)) | (~less_3(bitIndex0)) | (~v124(constB75, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB75)) | (~v124(constB75, bitIndex0))))),
% 136.19/86.87 inference(monotonicity,[status(thm)],[26682])).
% 136.19/86.87 tff(26684,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB75)) | (~less_3(bitIndex0)) | (~v124(constB75, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB75)) | (~v124(constB75, bitIndex0)))),
% 136.19/86.87 inference(transitivity,[status(thm)],[26683, 26681])).
% 136.19/86.87 tff(26685,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB75)) | (~less_3(bitIndex0)) | (~v124(constB75, bitIndex0)) | b110(bitIndex0))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26686,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB75)) | (~v124(constB75, bitIndex0))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26685, 26684])).
% 136.19/86.87 tff(26687,plain,
% 136.19/86.87 ($false),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26686, 1997, 1994, 795, 26680, 26679])).
% 136.19/86.87 tff(26688,plain,((~v124(constB75, bitIndex0)) | (~v172(constB75))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.87 tff(26689,plain,
% 136.19/86.87 (~v124(constB75, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26688, 26678])).
% 136.19/86.87 tff(26690,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex0)) | (~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex0)) | (~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26691,plain,
% 136.19/86.87 ((v26(constB75) | (~less_3(bitIndex0)) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0))) <=> (v26(constB75) | (~less_3(bitIndex0)) | (~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26692,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex0)) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex0)) | (~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0)))),
% 136.19/86.87 inference(monotonicity,[status(thm)],[26691])).
% 136.19/86.87 tff(26693,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex0)) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex0)) | (~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0))),
% 136.19/86.87 inference(transitivity,[status(thm)],[26692, 26690])).
% 136.19/86.87 tff(26694,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB75) | (~less_3(bitIndex0)) | v124(constB75, bitIndex0) | (~v121(constB75, bitIndex0)))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26695,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB75) | (~less_3(bitIndex0)) | (~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26694, 26693])).
% 136.19/86.87 tff(26696,plain,
% 136.19/86.87 (~v121(constB75, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26695, 1380, 795, 26640, 26689])).
% 136.19/86.87 tff(26697,assumption,(v123(constB76, bitIndex0)), introduced(assumption)).
% 136.19/86.87 tff(26698,assumption,(~v121(constB75, bitIndex0)), introduced(assumption)).
% 136.19/86.87 tff(26699,plain,
% 136.19/86.87 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB75, constB76)) | (~less_3(bitIndex0)) | (~v123(constB76, bitIndex0)) | v121(constB75, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB75, constB76)) | (~less_3(bitIndex0)) | (~v123(constB76, bitIndex0)) | v121(constB75, bitIndex0))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26700,plain,
% 136.19/86.87 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB75, constB76)) | (~less_3(bitIndex0)) | (~v123(constB76, bitIndex0)) | v121(constB75, bitIndex0))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26701,plain,
% 136.19/86.87 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB75, constB76)) | (~less_3(bitIndex0)) | (~v123(constB76, bitIndex0)) | v121(constB75, bitIndex0)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26700, 26699])).
% 136.19/86.87 tff(26702,plain,
% 136.19/86.87 ($false),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26701, 1362, 795, 26619, 26698, 26697])).
% 136.19/86.87 tff(26703,plain,((~v123(constB76, bitIndex0)) | v121(constB75, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.87 tff(26704,plain,
% 136.19/86.87 (~v123(constB76, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26703, 26696])).
% 136.19/86.87 tff(26705,plain,
% 136.19/86.87 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB76)) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB76)) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26706,plain,
% 136.19/86.87 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB76)) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26707,plain,
% 136.19/86.87 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB76)) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26706, 26705])).
% 136.19/86.87 tff(26708,plain,
% 136.19/86.87 (~v84(constB76, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26707, 1344, 795, 26628, 26704])).
% 136.19/86.87 tff(26709,assumption,(v84(constB77, bitIndex0)), introduced(assumption)).
% 136.19/86.87 tff(26710,assumption,(~v84(constB76, bitIndex0)), introduced(assumption)).
% 136.19/86.87 tff(26711,plain,
% 136.19/86.87 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex0)) | (~v84(constB77, bitIndex0)) | v84(constB76, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex0)) | (~v84(constB77, bitIndex0)) | v84(constB76, bitIndex0))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26712,plain,
% 136.19/86.87 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex0)) | (~v84(constB77, bitIndex0)) | v84(constB76, bitIndex0))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26713,plain,
% 136.19/86.87 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex0)) | (~v84(constB77, bitIndex0)) | v84(constB76, bitIndex0)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26712, 26711])).
% 136.19/86.87 tff(26714,plain,
% 136.19/86.87 ($false),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26713, 805, 795, 26591, 26603, 26710, 26709])).
% 136.19/86.87 tff(26715,plain,((~v84(constB77, bitIndex0)) | v84(constB76, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.87 tff(26716,plain,
% 136.19/86.87 (~v84(constB77, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26715, 26708])).
% 136.19/86.87 tff(26717,plain,
% 136.19/86.87 (v84(constB77, bitIndex0) | (~v84(constB77, bitIndex2))),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26565, 1910, 26551, 26493])).
% 136.19/86.87 tff(26718,plain,
% 136.19/86.87 (~v84(constB77, bitIndex2)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26717, 26716])).
% 136.19/86.87 tff(26719,plain,
% 136.19/86.87 (v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | v115(constB77)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26573, 1095, 26551])).
% 136.19/86.87 tff(26720,plain,
% 136.19/86.87 ($false),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26719, 26718, 26716, 26556])).
% 136.19/86.87 tff(26721,plain,(v107(constB77) | v84(constB75, bitIndex1) | v84(constB75, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.87 tff(26722,plain,
% 136.19/86.87 (v84(constB75, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26721, 26473, 26472])).
% 136.19/86.87 tff(26723,plain,
% 136.19/86.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v172(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v172(constB75)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26724,plain,
% 136.19/86.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v172(constB75)))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26725,plain,
% 136.19/86.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v172(constB75))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26724, 26723])).
% 136.19/86.87 tff(26726,plain,
% 136.19/86.87 (~v172(constB75)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26725, 7708, 26722])).
% 136.19/86.87 tff(26727,plain,
% 136.19/86.87 (v84(constB76, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26715, 26577])).
% 136.19/86.87 tff(26728,plain,
% 136.19/86.87 (v123(constB76, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26707, 1344, 795, 26628, 26727])).
% 136.19/86.87 tff(26729,plain,
% 136.19/86.87 (v121(constB75, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26703, 26728])).
% 136.19/86.87 tff(26730,plain,
% 136.19/86.87 (v124(constB75, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26695, 1380, 795, 26640, 26729])).
% 136.19/86.87 tff(26731,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB75)) | (~v124(constB75, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB75)) | (~v124(constB75, bitIndex0)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26732,plain,
% 136.19/86.87 (((~v145(constB75)) | (~less_3(bitIndex0)) | (~v124(constB75, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB75)) | (~v124(constB75, bitIndex0)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26733,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB75)) | (~less_3(bitIndex0)) | (~v124(constB75, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB75)) | (~v124(constB75, bitIndex0))))),
% 136.19/86.87 inference(monotonicity,[status(thm)],[26732])).
% 136.19/86.87 tff(26734,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB75)) | (~less_3(bitIndex0)) | (~v124(constB75, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB75)) | (~v124(constB75, bitIndex0)))),
% 136.19/86.87 inference(transitivity,[status(thm)],[26733, 26731])).
% 136.19/86.87 tff(26735,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB75)) | (~less_3(bitIndex0)) | (~v124(constB75, bitIndex0)) | b010(bitIndex0))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26736,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB75)) | (~v124(constB75, bitIndex0))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26735, 26734])).
% 136.19/86.87 tff(26737,plain,
% 136.19/86.87 (~v145(constB75)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26736, 2299, 1416, 795, 26730])).
% 136.19/86.87 tff(26738,assumption,(~v118(constB75)), introduced(assumption)).
% 136.19/86.87 tff(26739,assumption,(~v172(constB75)), introduced(assumption)).
% 136.19/86.87 tff(26740,assumption,(v84(constB75, bitIndex2)), introduced(assumption)).
% 136.19/86.87 tff(26741,plain,
% 136.19/86.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26742,plain,
% 136.19/86.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26743,plain,
% 136.19/86.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2)) | v118(constB75)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26742, 26741])).
% 136.19/86.87 tff(26744,plain,
% 136.19/86.87 ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2))),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26743, 1018, 26738])).
% 136.19/86.87 tff(26745,plain,
% 136.19/86.87 (~v84(constB75, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26744, 26740, 26472])).
% 136.19/86.87 tff(26746,plain,
% 136.19/86.87 (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex2))),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26677, 1047, 26739])).
% 136.19/86.87 tff(26747,plain,
% 136.19/86.87 ($false),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26746, 26745, 26740, 26472])).
% 136.19/86.87 tff(26748,plain,((~v84(constB75, bitIndex2)) | v84(constB75, bitIndex1) | v172(constB75) | v118(constB75)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.87 tff(26749,plain,
% 136.19/86.87 (~v84(constB75, bitIndex2)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26748, 26472, 26739, 26738])).
% 136.19/86.87 tff(26750,assumption,(~v145(constB75)), introduced(assumption)).
% 136.19/86.87 tff(26751,plain,
% 136.19/86.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB75) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB75) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26752,plain,
% 136.19/86.87 (((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75)) <=> (v145(constB75) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26753,plain,
% 136.19/86.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB75) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)))),
% 136.19/86.87 inference(monotonicity,[status(thm)],[26752])).
% 136.19/86.87 tff(26754,plain,
% 136.19/86.87 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB75) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2))),
% 136.19/86.87 inference(transitivity,[status(thm)],[26753, 26751])).
% 136.19/86.87 tff(26755,plain,
% 136.19/86.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | v145(constB75))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26756,plain,
% 136.19/86.87 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB75) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26755, 26754])).
% 136.19/86.87 tff(26757,plain,
% 136.19/86.87 ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26756, 865, 26750])).
% 136.19/86.87 tff(26758,plain,
% 136.19/86.87 (~v84(constB75, bitIndex0)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26757, 26749, 26472])).
% 136.19/86.87 tff(26759,assumption,(~v113(constB75)), introduced(assumption)).
% 136.19/86.87 tff(26760,plain,
% 136.19/86.87 (v84(constB75, bitIndex0) | v84(constB75, bitIndex1) | v84(constB75, bitIndex2)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26673, 983, 26759])).
% 136.19/86.87 tff(26761,plain,
% 136.19/86.87 ($false),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26760, 26758, 26749, 26472])).
% 136.19/86.87 tff(26762,plain,(v84(constB75, bitIndex1) | v113(constB75) | v145(constB75) | v172(constB75) | v118(constB75)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.87 tff(26763,plain,
% 136.19/86.87 (v118(constB75)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26762, 26737, 26472, 26726, 26669])).
% 136.19/86.87 tff(26764,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB75)) | (~v124(constB75, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB75)) | (~v124(constB75, bitIndex2)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26765,plain,
% 136.19/86.87 (((~v118(constB75)) | (~less_3(bitIndex2)) | (~v124(constB75, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB75)) | (~v124(constB75, bitIndex2)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26766,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB75)) | (~less_3(bitIndex2)) | (~v124(constB75, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB75)) | (~v124(constB75, bitIndex2))))),
% 136.19/86.87 inference(monotonicity,[status(thm)],[26765])).
% 136.19/86.87 tff(26767,plain,
% 136.19/86.87 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB75)) | (~less_3(bitIndex2)) | (~v124(constB75, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB75)) | (~v124(constB75, bitIndex2)))),
% 136.19/86.87 inference(transitivity,[status(thm)],[26766, 26764])).
% 136.19/86.87 tff(26768,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB75)) | (~less_3(bitIndex2)) | (~v124(constB75, bitIndex2)) | b011(bitIndex2))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26769,plain,
% 136.19/86.87 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB75)) | (~v124(constB75, bitIndex2))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26768, 26767])).
% 136.19/86.87 tff(26770,plain,
% 136.19/86.87 ($false),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26769, 2030, 2027, 767, 26763, 26647])).
% 136.19/86.87 tff(26771,plain,(v107(constB77) | v84(constB75, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.87 tff(26772,plain,
% 136.19/86.87 (v107(constB77)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26771, 26472])).
% 136.19/86.87 tff(26773,assumption,(~v94(constB74)), introduced(assumption)).
% 136.19/86.87 tff(26774,plain,
% 136.19/86.87 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26775,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_73_1')).
% 136.19/86.87 tff(26776,plain,
% 136.19/86.87 (nextState(constB73, constB74)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26775, 26774])).
% 136.19/86.87 tff(26777,plain,
% 136.19/86.87 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26778,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74)))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26779,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB73) | (~nextState(constB73, constB74)) | (~v98(constB74))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26778, 26777])).
% 136.19/86.87 tff(26780,plain,
% 136.19/86.87 (~v98(constB74)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26779, 541, 26776, 26027])).
% 136.19/86.87 tff(26781,plain,
% 136.19/86.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26782,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB73, constB74)) | v96(constB74) | v98(constB74))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26783,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB73, constB74)) | v96(constB74) | v98(constB74)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26782, 26781])).
% 136.19/86.87 tff(26784,plain,
% 136.19/86.87 (v96(constB74) | v98(constB74)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26783, 555, 26776])).
% 136.19/86.87 tff(26785,plain,
% 136.19/86.87 (v96(constB74)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26784, 26780])).
% 136.19/86.87 tff(26786,plain,
% 136.19/86.87 (v1(constB74) <=> v1(constB74)),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26787,axiom,(v1(constB74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_74_1')).
% 136.19/86.87 tff(26788,plain,
% 136.19/86.87 (v1(constB74)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26787, 26786])).
% 136.19/86.87 tff(26789,plain,
% 136.19/86.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26790,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74)))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26791,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB73, constB74)) | v95(constB74) | (~v96(constB74)) | (~v1(constB74))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26790, 26789])).
% 136.19/86.87 tff(26792,plain,
% 136.19/86.87 (v95(constB74) | (~v96(constB74))),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26791, 573, 26776, 26788])).
% 136.19/86.87 tff(26793,plain,
% 136.19/86.87 (v95(constB74)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26792, 26785])).
% 136.19/86.87 tff(26794,plain,
% 136.19/86.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26795,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26796,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB73, constB74)) | (~v95(constB74)) | (~v104(constB74)) | v94(constB74)),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26795, 26794])).
% 136.19/86.87 tff(26797,plain,
% 136.19/86.87 ((~v95(constB74)) | (~v104(constB74)) | v94(constB74)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26796, 588, 26776])).
% 136.19/86.87 tff(26798,plain,
% 136.19/86.87 ((~v104(constB74)) | v94(constB74)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26797, 26793])).
% 136.19/86.87 tff(26799,plain,
% 136.19/86.87 (~v104(constB74)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26798, 26773])).
% 136.19/86.87 tff(26800,plain,
% 136.19/86.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26801,plain,
% 136.19/86.87 (((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74)) <=> ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26802,plain,
% 136.19/86.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))))),
% 136.19/86.87 inference(monotonicity,[status(thm)],[26801])).
% 136.19/86.87 tff(26803,plain,
% 136.19/86.87 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73)))),
% 136.19/86.87 inference(transitivity,[status(thm)],[26802, 26800])).
% 136.19/86.87 tff(26804,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB73, constB74)) | (~v102(constB73)) | v104(constB74))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26805,plain,
% 136.19/86.87 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v102(constB73))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26804, 26803])).
% 136.19/86.87 tff(26806,plain,
% 136.19/86.87 (v104(constB74) | (~v102(constB73))),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26805, 604, 26776])).
% 136.19/86.87 tff(26807,plain,
% 136.19/86.87 (~v102(constB73)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26806, 26799])).
% 136.19/86.87 tff(26808,plain,
% 136.19/86.87 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB73) | (~v106(constB73)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB73) | (~v106(constB73)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26809,plain,
% 136.19/86.87 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB73) | (~v106(constB73)))),
% 136.19/86.87 inference(quant_inst,[status(thm)],[])).
% 136.19/86.87 tff(26810,plain,
% 136.19/86.87 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB73) | (~v106(constB73))),
% 136.19/86.87 inference(modus_ponens,[status(thm)],[26809, 26808])).
% 136.19/86.87 tff(26811,plain,
% 136.19/86.87 (~v106(constB73)),
% 136.19/86.87 inference(unit_resolution,[status(thm)],[26810, 619, 26807])).
% 136.19/86.87 tff(26812,plain,
% 136.19/86.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26813,plain,
% 136.19/86.87 ((v26(constB73) | (~v107(constB73)) | v106(constB73)) <=> (v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 136.19/86.87 inference(rewrite,[status(thm)],[])).
% 136.19/86.87 tff(26814,plain,
% 136.19/86.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | v106(constB73) | (~v107(constB73))))),
% 136.19/86.87 inference(monotonicity,[status(thm)],[26813])).
% 136.19/86.87 tff(26815,plain,
% 136.19/86.87 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73)))),
% 136.19/86.88 inference(transitivity,[status(thm)],[26814, 26812])).
% 136.19/86.88 tff(26816,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB73) | (~v107(constB73)) | v106(constB73))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26817,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB73) | v106(constB73) | (~v107(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26816, 26815])).
% 136.19/86.88 tff(26818,plain,
% 136.19/86.88 (v106(constB73) | (~v107(constB73))),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26817, 644, 26455])).
% 136.19/86.88 tff(26819,plain,
% 136.19/86.88 (~v107(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26818, 26811])).
% 136.19/86.88 tff(26820,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB73) | (~v108(constB73)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB73) | (~v108(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26821,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB73) | (~v108(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26822,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB73) | (~v108(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26821, 26820])).
% 136.19/86.88 tff(26823,plain,
% 136.19/86.88 (~v108(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26822, 658, 26819])).
% 136.19/86.88 tff(26824,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB73) | (~v118(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB73) | (~v118(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26825,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB73) | (~v118(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26826,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB73) | (~v118(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26825, 26824])).
% 136.19/86.88 tff(26827,plain,
% 136.19/86.88 (~v118(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26826, 1004, 26823])).
% 136.19/86.88 tff(26828,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB73) | (~v109(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB73) | (~v109(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26829,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB73) | (~v109(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26830,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB73) | (~v109(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26829, 26828])).
% 136.19/86.88 tff(26831,plain,
% 136.19/86.88 (~v109(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26830, 669, 26823])).
% 136.19/86.88 tff(26832,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB73) | (~v110(constB73)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB73) | (~v110(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26833,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB73) | (~v110(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26834,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB73) | (~v110(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26833, 26832])).
% 136.19/86.88 tff(26835,plain,
% 136.19/86.88 (~v110(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26834, 680, 26831])).
% 136.19/86.88 tff(26836,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB73) | (~v111(constB73)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB73) | (~v111(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26837,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB73) | (~v111(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26838,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB73) | (~v111(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26837, 26836])).
% 136.19/86.88 tff(26839,plain,
% 136.19/86.88 (~v111(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26838, 691, 26835])).
% 136.19/86.88 tff(26840,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB73) | (~v112(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26841,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB73) | (~v112(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26842,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB73) | (~v112(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26841, 26840])).
% 136.19/86.88 tff(26843,plain,
% 136.19/86.88 (~v112(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26842, 702, 26839])).
% 136.19/86.88 tff(26844,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB73) | (~v113(constB73)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB73) | (~v113(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26845,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB73) | (~v113(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26846,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB73) | (~v113(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26845, 26844])).
% 136.19/86.88 tff(26847,plain,
% 136.19/86.88 (~v113(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26846, 969, 26843])).
% 136.19/86.88 tff(26848,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB73) | (~v172(constB73)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB73) | (~v172(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26849,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB73) | (~v172(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26850,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB73) | (~v172(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26849, 26848])).
% 136.19/86.88 tff(26851,plain,
% 136.19/86.88 (~v172(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26850, 1033, 26831])).
% 136.19/86.88 tff(26852,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB73) | (~v145(constB73)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB73) | (~v145(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26853,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB73) | (~v145(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26854,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB73) | (~v145(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26853, 26852])).
% 136.19/86.88 tff(26855,plain,
% 136.19/86.88 (~v145(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26854, 713, 26843])).
% 136.19/86.88 tff(26856,assumption,(~v113(constB73)), introduced(assumption)).
% 136.19/86.88 tff(26857,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26858,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26859,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v172(constB73)),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26858, 26857])).
% 136.19/86.88 tff(26860,plain,
% 136.19/86.88 (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2))),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26859, 1047, 26329])).
% 136.19/86.88 tff(26861,plain,
% 136.19/86.88 (~v84(constB73, bitIndex2)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26860, 26173, 26166])).
% 136.19/86.88 tff(26862,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB73) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB73) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26863,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB73) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26864,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB73) | v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26863, 26862])).
% 136.19/86.88 tff(26865,plain,
% 136.19/86.88 (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26864, 983, 26856])).
% 136.19/86.88 tff(26866,plain,
% 136.19/86.88 ($false),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26865, 26861, 26173, 26166])).
% 136.19/86.88 tff(26867,plain,(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v113(constB73) | v172(constB73)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.88 tff(26868,plain,
% 136.19/86.88 (v84(constB73, bitIndex0)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26867, 26166, 26856, 26329])).
% 136.19/86.88 tff(26869,plain,
% 136.19/86.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB73) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB73) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26870,plain,
% 136.19/86.88 (((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v145(constB73)) <=> (v145(constB73) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26871,plain,
% 136.19/86.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v145(constB73))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB73) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)))),
% 136.19/86.88 inference(monotonicity,[status(thm)],[26870])).
% 136.19/86.88 tff(26872,plain,
% 136.19/86.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v145(constB73))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB73) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))),
% 136.19/86.88 inference(transitivity,[status(thm)],[26871, 26869])).
% 136.19/86.88 tff(26873,plain,
% 136.19/86.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | v145(constB73))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26874,plain,
% 136.19/86.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB73) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26873, 26872])).
% 136.19/86.88 tff(26875,plain,
% 136.19/86.88 ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26874, 865, 26328])).
% 136.19/86.88 tff(26876,plain,
% 136.19/86.88 (v84(constB73, bitIndex2)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26875, 26868, 26166])).
% 136.19/86.88 tff(26877,assumption,(~v118(constB73)), introduced(assumption)).
% 136.19/86.88 tff(26878,plain,
% 136.19/86.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v118(constB73))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v118(constB73))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26879,plain,
% 136.19/86.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v118(constB73))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26880,plain,
% 136.19/86.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)) | v118(constB73)),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26879, 26878])).
% 136.19/86.88 tff(26881,plain,
% 136.19/86.88 ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2))),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26880, 1018, 26877])).
% 136.19/86.88 tff(26882,plain,
% 136.19/86.88 ($false),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26881, 26876, 26868, 26166])).
% 136.19/86.88 tff(26883,plain,(v84(constB73, bitIndex1) | v118(constB73) | v145(constB73) | v113(constB73) | v172(constB73)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.88 tff(26884,plain,
% 136.19/86.88 (v84(constB73, bitIndex1)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26883, 26855, 26851, 26847, 26827])).
% 136.19/86.88 tff(26885,assumption,(~v84(constB74, bitIndex1)), introduced(assumption)).
% 136.19/86.88 tff(26886,plain,
% 136.19/86.88 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB74, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB74, bitIndex1))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26887,plain,
% 136.19/86.88 (((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB74, bitIndex1) | (~v84(constB73, bitIndex1))) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB74, bitIndex1))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26888,plain,
% 136.19/86.88 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB74, bitIndex1) | (~v84(constB73, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB74, bitIndex1)))),
% 136.19/86.88 inference(monotonicity,[status(thm)],[26887])).
% 136.19/86.88 tff(26889,plain,
% 136.19/86.88 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB74, bitIndex1) | (~v84(constB73, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB74, bitIndex1))),
% 136.19/86.88 inference(transitivity,[status(thm)],[26888, 26886])).
% 136.19/86.88 tff(26890,plain,
% 136.19/86.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB74, bitIndex1) | (~v84(constB73, bitIndex1)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26891,plain,
% 136.19/86.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB73, bitIndex1)) | v84(constB74, bitIndex1)),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26890, 26889])).
% 136.19/86.88 tff(26892,plain,
% 136.19/86.88 ($false),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26891, 777, 823, 26776, 26773, 26885, 26884])).
% 136.19/86.88 tff(26893,plain,(v84(constB74, bitIndex1) | v94(constB74)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.88 tff(26894,plain,
% 136.19/86.88 (v84(constB74, bitIndex1)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26893, 26773])).
% 136.19/86.88 tff(26895,assumption,(v84(constB74, bitIndex1)), introduced(assumption)).
% 136.19/86.88 tff(26896,plain,
% 136.19/86.88 ((~v1(constB75)) <=> (~v1(constB75))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26897,axiom,(~v1(constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_75_1_1')).
% 136.19/86.88 tff(26898,plain,
% 136.19/86.88 (~v1(constB75)),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26897, 26896])).
% 136.19/86.88 tff(26899,plain,
% 136.19/86.88 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26900,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_74_1')).
% 136.19/86.88 tff(26901,plain,
% 136.19/86.88 (nextState(constB74, constB75)),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 136.19/86.88 tff(26902,plain,
% 136.19/86.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26903,plain,
% 136.19/86.88 (((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75)) <=> (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26904,plain,
% 136.19/86.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))))),
% 136.19/86.88 inference(monotonicity,[status(thm)],[26903])).
% 136.19/86.88 tff(26905,plain,
% 136.19/86.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75)))),
% 136.19/86.88 inference(transitivity,[status(thm)],[26904, 26902])).
% 136.19/86.88 tff(26906,plain,
% 136.19/86.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB74, constB75)) | (~v95(constB75)) | v1(constB75))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26907,plain,
% 136.19/86.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB75) | (~nextState(constB74, constB75)) | (~v95(constB75))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26906, 26905])).
% 136.19/86.88 tff(26908,plain,
% 136.19/86.88 (~v95(constB75)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26907, 742, 26901, 26898])).
% 136.19/86.88 tff(26909,plain,
% 136.19/86.88 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26910,plain,
% 136.19/86.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26911,plain,
% 136.19/86.88 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB74, constB75)) | v95(constB75) | (~v94(constB75))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26910, 26909])).
% 136.19/86.88 tff(26912,plain,
% 136.19/86.88 (v95(constB75) | (~v94(constB75))),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26911, 759, 26901])).
% 136.19/86.88 tff(26913,plain,
% 136.19/86.88 (~v94(constB75)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26912, 26908])).
% 136.19/86.88 tff(26914,plain,
% 136.19/86.88 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB74, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB74, bitIndex1)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26915,plain,
% 136.19/86.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB74, bitIndex1)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26916,plain,
% 136.19/86.88 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex1)) | v84(constB75, bitIndex1) | (~v84(constB74, bitIndex1))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26915, 26914])).
% 136.19/86.88 tff(26917,plain,
% 136.19/86.88 ($false),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26916, 777, 823, 26901, 26913, 26895, 26472])).
% 136.19/86.88 tff(26918,plain,(v84(constB75, bitIndex1) | (~v84(constB74, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.88 tff(26919,plain,
% 136.19/86.88 (v84(constB75, bitIndex1)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26918, 26894])).
% 136.19/86.88 tff(26920,plain,
% 136.19/86.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB75, bitIndex1)) | (~v118(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB75, bitIndex1)) | (~v118(constB75)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26921,plain,
% 136.19/86.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB75, bitIndex1)) | (~v118(constB75)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26922,plain,
% 136.19/86.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB75, bitIndex1)) | (~v118(constB75))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26921, 26920])).
% 136.19/86.88 tff(26923,plain,
% 136.19/86.88 (~v118(constB75)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26922, 2842, 26919])).
% 136.19/86.88 tff(26924,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB73) | (~v115(constB73)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB73) | (~v115(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26925,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB73) | (~v115(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26926,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB73) | (~v115(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26925, 26924])).
% 136.19/86.88 tff(26927,plain,
% 136.19/86.88 (~v115(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26926, 945, 26839])).
% 136.19/86.88 tff(26928,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB73) | (~v116(constB73)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB73) | (~v116(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26929,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB73) | (~v116(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26930,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB73) | (~v116(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26929, 26928])).
% 136.19/86.88 tff(26931,plain,
% 136.19/86.88 (~v116(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26930, 934, 26835])).
% 136.19/86.88 tff(26932,assumption,(~v116(constB73)), introduced(assumption)).
% 136.19/86.88 tff(26933,plain,
% 136.19/86.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v116(constB73))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v116(constB73))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26934,plain,
% 136.19/86.88 (((~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v116(constB73)) <=> ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v116(constB73))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26935,plain,
% 136.19/86.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v116(constB73))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v116(constB73)))),
% 136.19/86.88 inference(monotonicity,[status(thm)],[26934])).
% 136.19/86.88 tff(26936,plain,
% 136.19/86.88 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v116(constB73))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v116(constB73))),
% 136.19/86.88 inference(transitivity,[status(thm)],[26935, 26933])).
% 136.19/86.88 tff(26937,plain,
% 136.19/86.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex2) | v116(constB73))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26938,plain,
% 136.19/86.88 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB73, bitIndex0)) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v116(constB73)),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26937, 26936])).
% 136.19/86.88 tff(26939,plain,
% 136.19/86.88 ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1))),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26938, 1076, 26932])).
% 136.19/86.88 tff(26940,plain,
% 136.19/86.88 (~v84(constB73, bitIndex0)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26939, 26024, 26155])).
% 136.19/86.88 tff(26941,plain,
% 136.19/86.88 ($false),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26210, 26940, 26024, 26155])).
% 136.19/86.88 tff(26942,plain,(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v115(constB73) | v116(constB73)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.88 tff(26943,plain,
% 136.19/86.88 (v84(constB73, bitIndex2)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26942, 26884, 26931, 26927])).
% 136.19/86.88 tff(26944,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB73) | (~v119(constB73)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB73) | (~v119(constB73)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26945,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB73) | (~v119(constB73)))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26946,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB73) | (~v119(constB73))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26945, 26944])).
% 136.19/86.88 tff(26947,plain,
% 136.19/86.88 (~v119(constB73)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26946, 1927, 26819])).
% 136.19/86.88 tff(26948,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | v119(constB73) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB73, bitIndex0) | v119(constB73) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26949,plain,
% 136.19/86.88 ((v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73)) <=> (v84(constB73, bitIndex0) | v119(constB73) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)))),
% 136.19/86.88 inference(rewrite,[status(thm)],[])).
% 136.19/86.88 tff(26950,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | v119(constB73) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2))))),
% 136.19/86.88 inference(monotonicity,[status(thm)],[26949])).
% 136.19/86.88 tff(26951,plain,
% 136.19/86.88 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB73, bitIndex0) | v119(constB73) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)))),
% 136.19/86.88 inference(transitivity,[status(thm)],[26950, 26948])).
% 136.19/86.88 tff(26952,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)) | v119(constB73))),
% 136.19/86.88 inference(quant_inst,[status(thm)],[])).
% 136.19/86.88 tff(26953,plain,
% 136.19/86.88 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB73, bitIndex0) | v119(constB73) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2))),
% 136.19/86.88 inference(modus_ponens,[status(thm)],[26952, 26951])).
% 136.19/86.88 tff(26954,plain,
% 136.19/86.88 (v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2))),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26953, 1910, 26947])).
% 136.19/86.88 tff(26955,plain,
% 136.19/86.88 (v84(constB73, bitIndex0)),
% 136.19/86.88 inference(unit_resolution,[status(thm)],[26954, 26884, 26943])).
% 136.19/86.88 tff(26956,assumption,(~v84(constB74, bitIndex0)), introduced(assumption)).
% 136.19/86.89 tff(26957,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB74, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB74, bitIndex0))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26958,plain,
% 136.19/86.89 (((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB74, bitIndex0) | (~v84(constB73, bitIndex0))) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB74, bitIndex0))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26959,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB74, bitIndex0) | (~v84(constB73, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB74, bitIndex0)))),
% 136.19/86.89 inference(monotonicity,[status(thm)],[26958])).
% 136.19/86.89 tff(26960,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB74, bitIndex0) | (~v84(constB73, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB74, bitIndex0))),
% 136.19/86.89 inference(transitivity,[status(thm)],[26959, 26957])).
% 136.19/86.89 tff(26961,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB74, bitIndex0) | (~v84(constB73, bitIndex0)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(26962,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB73, bitIndex0)) | v84(constB74, bitIndex0)),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[26961, 26960])).
% 136.19/86.89 tff(26963,plain,
% 136.19/86.89 ($false),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26962, 777, 795, 26776, 26773, 26956, 26955])).
% 136.19/86.89 tff(26964,plain,(v84(constB74, bitIndex0) | v94(constB74)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.89 tff(26965,plain,
% 136.19/86.89 (v84(constB74, bitIndex0)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26964, 26773])).
% 136.19/86.89 tff(26966,assumption,(v84(constB74, bitIndex0)), introduced(assumption)).
% 136.19/86.89 tff(26967,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB74, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB74, bitIndex0)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26968,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB74, bitIndex0)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(26969,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB74, bitIndex0))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[26968, 26967])).
% 136.19/86.89 tff(26970,plain,
% 136.19/86.89 ($false),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26969, 777, 795, 26901, 26913, 26966, 26670])).
% 136.19/86.89 tff(26971,plain,(v84(constB75, bitIndex0) | (~v84(constB74, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.89 tff(26972,plain,
% 136.19/86.89 (v84(constB75, bitIndex0)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26971, 26965])).
% 136.19/86.89 tff(26973,plain,
% 136.19/86.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v113(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v113(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26974,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v113(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(26975,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v113(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[26974, 26973])).
% 136.19/86.89 tff(26976,plain,
% 136.19/86.89 (~v113(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26975, 2764, 26972])).
% 136.19/86.89 tff(26977,assumption,(~v84(constB74, bitIndex2)), introduced(assumption)).
% 136.19/86.89 tff(26978,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB74, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB74, bitIndex2))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26979,plain,
% 136.19/86.89 (((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB74, bitIndex2) | (~v84(constB73, bitIndex2))) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB74, bitIndex2))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26980,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB74, bitIndex2) | (~v84(constB73, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB74, bitIndex2)))),
% 136.19/86.89 inference(monotonicity,[status(thm)],[26979])).
% 136.19/86.89 tff(26981,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB74, bitIndex2) | (~v84(constB73, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB74, bitIndex2))),
% 136.19/86.89 inference(transitivity,[status(thm)],[26980, 26978])).
% 136.19/86.89 tff(26982,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB74, bitIndex2) | (~v84(constB73, bitIndex2)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(26983,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB73, bitIndex2)) | v84(constB74, bitIndex2)),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[26982, 26981])).
% 136.19/86.89 tff(26984,plain,
% 136.19/86.89 ($false),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26983, 777, 767, 26776, 26773, 26977, 26943])).
% 136.19/86.89 tff(26985,plain,(v84(constB74, bitIndex2) | v94(constB74)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.89 tff(26986,plain,
% 136.19/86.89 (v84(constB74, bitIndex2)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26985, 26773])).
% 136.19/86.89 tff(26987,assumption,(~v84(constB75, bitIndex2)), introduced(assumption)).
% 136.19/86.89 tff(26988,assumption,(v84(constB74, bitIndex2)), introduced(assumption)).
% 136.19/86.89 tff(26989,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex2)) | v84(constB75, bitIndex2) | (~v84(constB74, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex2)) | v84(constB75, bitIndex2) | (~v84(constB74, bitIndex2)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26990,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex2)) | v84(constB75, bitIndex2) | (~v84(constB74, bitIndex2)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(26991,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex2)) | v84(constB75, bitIndex2) | (~v84(constB74, bitIndex2))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[26990, 26989])).
% 136.19/86.89 tff(26992,plain,
% 136.19/86.89 ($false),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26991, 777, 767, 26901, 26913, 26988, 26987])).
% 136.19/86.89 tff(26993,plain,(v84(constB75, bitIndex2) | (~v84(constB74, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.19/86.89 tff(26994,plain,
% 136.19/86.89 (v84(constB75, bitIndex2)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26993, 26986])).
% 136.19/86.89 tff(26995,plain,
% 136.19/86.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB75)) | (~v84(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB75)) | (~v84(constB75, bitIndex2)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26996,plain,
% 136.19/86.89 (((~v84(constB75, bitIndex2)) | (~v145(constB75))) <=> ((~v145(constB75)) | (~v84(constB75, bitIndex2)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(26997,plain,
% 136.19/86.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v145(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB75)) | (~v84(constB75, bitIndex2))))),
% 136.19/86.89 inference(monotonicity,[status(thm)],[26996])).
% 136.19/86.89 tff(26998,plain,
% 136.19/86.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v145(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB75)) | (~v84(constB75, bitIndex2)))),
% 136.19/86.89 inference(transitivity,[status(thm)],[26997, 26995])).
% 136.19/86.89 tff(26999,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v145(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27000,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB75)) | (~v84(constB75, bitIndex2))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[26999, 26998])).
% 136.19/86.89 tff(27001,plain,
% 136.19/86.89 (~v145(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27000, 725, 26994])).
% 136.19/86.89 tff(27002,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB75) | v113(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB75) | v113(constB75) | (~v112(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27003,plain,
% 136.19/86.89 ((v113(constB75) | (~v112(constB75)) | v145(constB75)) <=> (v145(constB75) | v113(constB75) | (~v112(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27004,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB75) | (~v112(constB75)) | v145(constB75))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB75) | v113(constB75) | (~v112(constB75))))),
% 136.19/86.89 inference(monotonicity,[status(thm)],[27003])).
% 136.19/86.89 tff(27005,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB75) | (~v112(constB75)) | v145(constB75))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB75) | v113(constB75) | (~v112(constB75)))),
% 136.19/86.89 inference(transitivity,[status(thm)],[27004, 27002])).
% 136.19/86.89 tff(27006,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB75) | (~v112(constB75)) | v145(constB75))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27007,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB75) | v113(constB75) | (~v112(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27006, 27005])).
% 136.19/86.89 tff(27008,plain,
% 136.19/86.89 (~v112(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27007, 2894, 27001, 26976])).
% 136.19/86.89 tff(27009,plain,
% 136.19/86.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v115(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v115(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27010,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v115(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27011,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v115(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27010, 27009])).
% 136.19/86.89 tff(27012,plain,
% 136.19/86.89 (~v115(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27011, 3011, 26972])).
% 136.19/86.89 tff(27013,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB75) | v115(constB75) | (~v111(constB75)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB75) | v115(constB75) | (~v111(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27014,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB75) | v115(constB75) | (~v111(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27015,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB75) | v115(constB75) | (~v111(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27014, 27013])).
% 136.19/86.89 tff(27016,plain,
% 136.19/86.89 (v112(constB75) | (~v111(constB75))),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27015, 2911, 27012])).
% 136.19/86.89 tff(27017,plain,
% 136.19/86.89 (~v111(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27016, 27008])).
% 136.19/86.89 tff(27018,plain,
% 136.19/86.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v116(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB75, bitIndex2)) | (~v116(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27019,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB75, bitIndex2)) | (~v116(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27020,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB75, bitIndex2)) | (~v116(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27019, 27018])).
% 136.19/86.89 tff(27021,plain,
% 136.19/86.89 (~v116(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27020, 1130, 26994])).
% 136.19/86.89 tff(27022,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB75) | v116(constB75) | (~v110(constB75)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB75) | v116(constB75) | (~v110(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27023,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB75) | v116(constB75) | (~v110(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27024,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB75) | v116(constB75) | (~v110(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27023, 27022])).
% 136.19/86.89 tff(27025,plain,
% 136.19/86.89 (v111(constB75) | (~v110(constB75))),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27024, 2932, 27021])).
% 136.19/86.89 tff(27026,plain,
% 136.19/86.89 (~v110(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27025, 27017])).
% 136.19/86.89 tff(27027,plain,
% 136.19/86.89 (~v172(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26725, 7708, 26972])).
% 136.19/86.89 tff(27028,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB75)) | v172(constB75) | v110(constB75))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB75)) | v172(constB75) | v110(constB75))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27029,plain,
% 136.19/86.89 ((v110(constB75) | (~v109(constB75)) | v172(constB75)) <=> ((~v109(constB75)) | v172(constB75) | v110(constB75))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27030,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB75) | (~v109(constB75)) | v172(constB75))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB75)) | v172(constB75) | v110(constB75)))),
% 136.19/86.89 inference(monotonicity,[status(thm)],[27029])).
% 136.19/86.89 tff(27031,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB75) | (~v109(constB75)) | v172(constB75))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB75)) | v172(constB75) | v110(constB75))),
% 136.19/86.89 inference(transitivity,[status(thm)],[27030, 27028])).
% 136.19/86.89 tff(27032,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB75) | (~v109(constB75)) | v172(constB75))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27033,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB75)) | v172(constB75) | v110(constB75)),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27032, 27031])).
% 136.19/86.89 tff(27034,plain,
% 136.19/86.89 ((~v109(constB75)) | v110(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27033, 2871, 27027])).
% 136.19/86.89 tff(27035,plain,
% 136.19/86.89 (~v109(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27034, 27026])).
% 136.19/86.89 tff(27036,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB75) | v118(constB75) | (~v108(constB75)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB75) | v118(constB75) | (~v108(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27037,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB75) | v118(constB75) | (~v108(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27038,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB75) | v118(constB75) | (~v108(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27037, 27036])).
% 136.19/86.89 tff(27039,plain,
% 136.19/86.89 (v118(constB75) | (~v108(constB75))),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27038, 2856, 27035])).
% 136.19/86.89 tff(27040,plain,
% 136.19/86.89 (~v108(constB75)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27039, 26923])).
% 136.19/86.89 tff(27041,assumption,(v119(constB75)), introduced(assumption)).
% 136.19/86.89 tff(27042,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB75, bitIndex2) | (~v119(constB75)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | v84(constB75, bitIndex2) | (~v119(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27043,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB75, bitIndex2) | (~v119(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27044,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | v84(constB75, bitIndex2) | (~v119(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27043, 27042])).
% 136.19/86.89 tff(27045,plain,
% 136.19/86.89 (v84(constB75, bitIndex2)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27044, 7833, 27041])).
% 136.19/86.89 tff(27046,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB74, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB74, bitIndex2))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27047,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB74, bitIndex2))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27048,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB74, bitIndex2)),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27047, 27046])).
% 136.19/86.89 tff(27049,plain,
% 136.19/86.89 (v84(constB74, bitIndex2)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27048, 805, 767, 26901, 26913, 27045])).
% 136.19/86.89 tff(27050,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB74, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB74, bitIndex2)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27051,plain,
% 136.19/86.89 (((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB74, bitIndex2)) | v84(constB73, bitIndex2)) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB74, bitIndex2)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27052,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB74, bitIndex2)) | v84(constB73, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB74, bitIndex2))))),
% 136.19/86.89 inference(monotonicity,[status(thm)],[27051])).
% 136.19/86.89 tff(27053,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB74, bitIndex2)) | v84(constB73, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB74, bitIndex2)))),
% 136.19/86.89 inference(transitivity,[status(thm)],[27052, 27050])).
% 136.19/86.89 tff(27054,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | (~v84(constB74, bitIndex2)) | v84(constB73, bitIndex2))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27055,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex2)) | v84(constB73, bitIndex2) | (~v84(constB74, bitIndex2))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27054, 27053])).
% 136.19/86.89 tff(27056,plain,
% 136.19/86.89 (v84(constB73, bitIndex2)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27055, 805, 767, 26776, 26773, 27049])).
% 136.19/86.89 tff(27057,plain,
% 136.19/86.89 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v119(constB75)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v119(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27058,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB75, bitIndex0)) | (~v119(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27059,plain,
% 136.19/86.89 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB75, bitIndex0)) | (~v119(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27058, 27057])).
% 136.19/86.89 tff(27060,plain,
% 136.19/86.89 (~v84(constB75, bitIndex0)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27059, 3173, 27041])).
% 136.19/86.89 tff(27061,plain,
% 136.19/86.89 (~v84(constB74, bitIndex0)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26969, 777, 795, 26901, 26913, 27060])).
% 136.19/86.89 tff(27062,plain,
% 136.19/86.89 (~v84(constB73, bitIndex0)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26962, 777, 795, 26776, 26773, 27061])).
% 136.19/86.89 tff(27063,plain,
% 136.19/86.89 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB75, bitIndex1) | (~v119(constB75)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | v84(constB75, bitIndex1) | (~v119(constB75)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27064,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB75, bitIndex1) | (~v119(constB75)))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27065,plain,
% 136.19/86.89 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | v84(constB75, bitIndex1) | (~v119(constB75))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27064, 27063])).
% 136.19/86.89 tff(27066,plain,
% 136.19/86.89 (v84(constB75, bitIndex1)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27065, 9858, 27041])).
% 136.19/86.89 tff(27067,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB74, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB74, bitIndex1))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27068,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB74, bitIndex1))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27069,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB74, bitIndex1)),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27068, 27067])).
% 136.19/86.89 tff(27070,plain,
% 136.19/86.89 (v84(constB74, bitIndex1)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27069, 805, 823, 26901, 26913, 27066])).
% 136.19/86.89 tff(27071,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB74, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB74, bitIndex1)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27072,plain,
% 136.19/86.89 (((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB74, bitIndex1)) | v84(constB73, bitIndex1)) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB74, bitIndex1)))),
% 136.19/86.89 inference(rewrite,[status(thm)],[])).
% 136.19/86.89 tff(27073,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB74, bitIndex1)) | v84(constB73, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB74, bitIndex1))))),
% 136.19/86.89 inference(monotonicity,[status(thm)],[27072])).
% 136.19/86.89 tff(27074,plain,
% 136.19/86.89 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB74, bitIndex1)) | v84(constB73, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB74, bitIndex1)))),
% 136.19/86.89 inference(transitivity,[status(thm)],[27073, 27071])).
% 136.19/86.89 tff(27075,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | (~v84(constB74, bitIndex1)) | v84(constB73, bitIndex1))),
% 136.19/86.89 inference(quant_inst,[status(thm)],[])).
% 136.19/86.89 tff(27076,plain,
% 136.19/86.89 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex1)) | v84(constB73, bitIndex1) | (~v84(constB74, bitIndex1))),
% 136.19/86.89 inference(modus_ponens,[status(thm)],[27075, 27074])).
% 136.19/86.89 tff(27077,plain,
% 136.19/86.89 (v84(constB73, bitIndex1)),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[27076, 805, 823, 26776, 26773, 27070])).
% 136.19/86.89 tff(27078,plain,
% 136.19/86.89 ($false),
% 136.19/86.89 inference(unit_resolution,[status(thm)],[26954, 27077, 27062, 27056])).
% 136.19/86.89 tff(27079,plain,((~v119(constB75)) | v94(constB74)), inference(lemma,lemma(discharge,[]))).
% 136.19/86.89 tff(27080,plain,
% 136.19/86.89 (~v119(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27079, 26773])).
% 136.19/86.90 tff(27081,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB75) | v119(constB75) | (~v107(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB75) | v119(constB75) | (~v107(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27082,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB75) | v119(constB75) | (~v107(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27083,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB75) | v119(constB75) | (~v107(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27082, 27081])).
% 136.19/86.90 tff(27084,plain,
% 136.19/86.90 (v108(constB75) | (~v107(constB75))),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27083, 3195, 27080])).
% 136.19/86.90 tff(27085,plain,
% 136.19/86.90 (~v107(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27084, 27040])).
% 136.19/86.90 tff(27086,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB75) | (~v106(constB75)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB75) | (~v106(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27087,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB75) | (~v106(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27088,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB75) | (~v106(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27087, 27086])).
% 136.19/86.90 tff(27089,plain,
% 136.19/86.90 (~v106(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27088, 3161, 27085])).
% 136.19/86.90 tff(27090,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB75)) | v26(constB75) | v106(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB75)) | v26(constB75) | v106(constB75))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27091,plain,
% 136.19/86.90 ((v26(constB75) | v106(constB75) | (~v102(constB75))) <=> ((~v102(constB75)) | v26(constB75) | v106(constB75))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27092,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB75) | v106(constB75) | (~v102(constB75)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB75)) | v26(constB75) | v106(constB75)))),
% 136.19/86.90 inference(monotonicity,[status(thm)],[27091])).
% 136.19/86.90 tff(27093,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB75) | v106(constB75) | (~v102(constB75)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB75)) | v26(constB75) | v106(constB75))),
% 136.19/86.90 inference(transitivity,[status(thm)],[27092, 27090])).
% 136.19/86.90 tff(27094,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB75) | v106(constB75) | (~v102(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27095,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB75)) | v26(constB75) | v106(constB75)),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27094, 27093])).
% 136.19/86.90 tff(27096,plain,
% 136.19/86.90 ((~v102(constB75)) | v106(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27095, 3146, 26640])).
% 136.19/86.90 tff(27097,plain,
% 136.19/86.90 (~v102(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27096, 27089])).
% 136.19/86.90 tff(27098,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27099,plain,
% 136.19/86.90 (((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76))) <=> ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27100,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75)))),
% 136.19/86.90 inference(monotonicity,[status(thm)],[27099])).
% 136.19/86.90 tff(27101,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75))),
% 136.19/86.90 inference(transitivity,[status(thm)],[27100, 27098])).
% 136.19/86.90 tff(27102,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB75, constB76)) | v102(constB75) | (~v104(constB76)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27103,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB75, constB76)) | (~v104(constB76)) | v102(constB75)),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27102, 27101])).
% 136.19/86.90 tff(27104,plain,
% 136.19/86.90 ((~v104(constB76)) | v102(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27103, 3128, 26619])).
% 136.19/86.90 tff(27105,plain,
% 136.19/86.90 (~v104(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27104, 27097])).
% 136.19/86.90 tff(27106,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27107,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27108,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v94(constB76))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27107, 27106])).
% 136.19/86.90 tff(27109,plain,
% 136.19/86.90 (v104(constB76) | (~v94(constB76))),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27108, 3113, 26619])).
% 136.19/86.90 tff(27110,plain,
% 136.19/86.90 (~v94(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27109, 27105])).
% 136.19/86.90 tff(27111,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27112,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27113,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB75) | (~nextState(constB75, constB76)) | (~v98(constB76))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27112, 27111])).
% 136.19/86.90 tff(27114,plain,
% 136.19/86.90 (~v98(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27113, 541, 26619, 26898])).
% 136.19/86.90 tff(27115,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27116,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB75, constB76)) | v96(constB76) | v98(constB76))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27117,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB75, constB76)) | v96(constB76) | v98(constB76)),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27116, 27115])).
% 136.19/86.90 tff(27118,plain,
% 136.19/86.90 (v96(constB76) | v98(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27117, 555, 26619])).
% 136.19/86.90 tff(27119,plain,
% 136.19/86.90 (v96(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27118, 27114])).
% 136.19/86.90 tff(27120,plain,
% 136.19/86.90 (v1(constB76) <=> v1(constB76)),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27121,axiom,(v1(constB76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_76_1')).
% 136.19/86.90 tff(27122,plain,
% 136.19/86.90 (v1(constB76)),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27121, 27120])).
% 136.19/86.90 tff(27123,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27124,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27125,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB75, constB76)) | v95(constB76) | (~v96(constB76)) | (~v1(constB76))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27124, 27123])).
% 136.19/86.90 tff(27126,plain,
% 136.19/86.90 (v95(constB76) | (~v96(constB76))),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27125, 573, 26619, 27122])).
% 136.19/86.90 tff(27127,plain,
% 136.19/86.90 (v95(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27126, 27119])).
% 136.19/86.90 tff(27128,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27129,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27130,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB75, constB76)) | (~v95(constB76)) | (~v104(constB76)) | v94(constB76)),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27129, 27128])).
% 136.19/86.90 tff(27131,plain,
% 136.19/86.90 ((~v95(constB76)) | (~v104(constB76)) | v94(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27130, 588, 26619])).
% 136.19/86.90 tff(27132,plain,
% 136.19/86.90 ((~v104(constB76)) | v94(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27131, 27127])).
% 136.19/86.90 tff(27133,plain,
% 136.19/86.90 (~v104(constB76)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27132, 26616])).
% 136.19/86.90 tff(27134,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27135,plain,
% 136.19/86.90 (((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76)) <=> ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27136,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))))),
% 136.19/86.90 inference(monotonicity,[status(thm)],[27135])).
% 136.19/86.90 tff(27137,plain,
% 136.19/86.90 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75)))),
% 136.19/86.90 inference(transitivity,[status(thm)],[27136, 27134])).
% 136.19/86.90 tff(27138,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB75, constB76)) | (~v102(constB75)) | v104(constB76))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27139,plain,
% 136.19/86.90 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB75, constB76)) | v104(constB76) | (~v102(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27138, 27137])).
% 136.19/86.90 tff(27140,plain,
% 136.19/86.90 (v104(constB76) | (~v102(constB75))),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27139, 604, 26619])).
% 136.19/86.90 tff(27141,plain,
% 136.19/86.90 (~v102(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27140, 27133])).
% 136.19/86.90 tff(27142,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB75) | (~v106(constB75)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB75) | (~v106(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27143,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB75) | (~v106(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27144,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB75) | (~v106(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27143, 27142])).
% 136.19/86.90 tff(27145,plain,
% 136.19/86.90 (~v106(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27144, 619, 27141])).
% 136.19/86.90 tff(27146,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27147,plain,
% 136.19/86.90 ((v26(constB75) | (~v107(constB75)) | v106(constB75)) <=> (v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27148,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | v106(constB75) | (~v107(constB75))))),
% 136.19/86.90 inference(monotonicity,[status(thm)],[27147])).
% 136.19/86.90 tff(27149,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75)))),
% 136.19/86.90 inference(transitivity,[status(thm)],[27148, 27146])).
% 136.19/86.90 tff(27150,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB75) | (~v107(constB75)) | v106(constB75))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27151,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB75) | v106(constB75) | (~v107(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27150, 27149])).
% 136.19/86.90 tff(27152,plain,
% 136.19/86.90 (v106(constB75) | (~v107(constB75))),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27151, 644, 26640])).
% 136.19/86.90 tff(27153,plain,
% 136.19/86.90 (~v107(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27152, 27145])).
% 136.19/86.90 tff(27154,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB75) | (~v108(constB75)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB75) | (~v108(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27155,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB75) | (~v108(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27156,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB75) | (~v108(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27155, 27154])).
% 136.19/86.90 tff(27157,plain,
% 136.19/86.90 (~v108(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27156, 658, 27153])).
% 136.19/86.90 tff(27158,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB75) | (~v109(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB75) | (~v109(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27159,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB75) | (~v109(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27160,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB75) | (~v109(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27159, 27158])).
% 136.19/86.90 tff(27161,plain,
% 136.19/86.90 (~v109(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27160, 669, 27157])).
% 136.19/86.90 tff(27162,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB75) | (~v110(constB75)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB75) | (~v110(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27163,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB75) | (~v110(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27164,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB75) | (~v110(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27163, 27162])).
% 136.19/86.90 tff(27165,plain,
% 136.19/86.90 (~v110(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27164, 680, 27161])).
% 136.19/86.90 tff(27166,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB75) | (~v111(constB75)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB75) | (~v111(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27167,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB75) | (~v111(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27168,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB75) | (~v111(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27167, 27166])).
% 136.19/86.90 tff(27169,plain,
% 136.19/86.90 (~v111(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27168, 691, 27165])).
% 136.19/86.90 tff(27170,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB75) | (~v112(constB75)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB75) | (~v112(constB75)))),
% 136.19/86.90 inference(rewrite,[status(thm)],[])).
% 136.19/86.90 tff(27171,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB75) | (~v112(constB75)))),
% 136.19/86.90 inference(quant_inst,[status(thm)],[])).
% 136.19/86.90 tff(27172,plain,
% 136.19/86.90 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB75) | (~v112(constB75))),
% 136.19/86.90 inference(modus_ponens,[status(thm)],[27171, 27170])).
% 136.19/86.90 tff(27173,plain,
% 136.19/86.90 (~v112(constB75)),
% 136.19/86.90 inference(unit_resolution,[status(thm)],[27172, 702, 27169])).
% 136.19/86.90 tff(27174,plain,
% 136.19/86.90 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB75) | (~v113(constB75)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB75) | (~v113(constB75)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27175,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB75) | (~v113(constB75)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27176,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB75) | (~v113(constB75))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27175, 27174])).
% 136.26/86.90 tff(27177,plain,
% 136.26/86.90 (~v113(constB75)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27176, 969, 27173])).
% 136.26/86.90 tff(27178,plain,
% 136.26/86.90 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB75) | (~v118(constB75)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB75) | (~v118(constB75)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27179,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB75) | (~v118(constB75)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27180,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB75) | (~v118(constB75))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27179, 27178])).
% 136.26/86.90 tff(27181,plain,
% 136.26/86.90 (~v118(constB75)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27180, 1004, 27157])).
% 136.26/86.90 tff(27182,plain,
% 136.26/86.90 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB75) | (~v172(constB75)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB75) | (~v172(constB75)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27183,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB75) | (~v172(constB75)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27184,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB75) | (~v172(constB75))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27183, 27182])).
% 136.26/86.90 tff(27185,plain,
% 136.26/86.90 (~v172(constB75)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27184, 1033, 27161])).
% 136.26/86.90 tff(27186,plain,
% 136.26/86.90 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB75) | (~v145(constB75)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB75) | (~v145(constB75)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27187,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB75) | (~v145(constB75)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27188,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB75) | (~v145(constB75))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27187, 27186])).
% 136.26/86.90 tff(27189,plain,
% 136.26/86.90 (~v145(constB75)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27188, 713, 27173])).
% 136.26/86.90 tff(27190,plain,
% 136.26/86.90 (v84(constB75, bitIndex1)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[26762, 27189, 27185, 27181, 27177])).
% 136.26/86.90 tff(27191,plain,
% 136.26/86.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB76, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB76, bitIndex1))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27192,plain,
% 136.26/86.90 (((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB76, bitIndex1) | (~v84(constB75, bitIndex1))) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB76, bitIndex1))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27193,plain,
% 136.26/86.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB76, bitIndex1) | (~v84(constB75, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB76, bitIndex1)))),
% 136.26/86.90 inference(monotonicity,[status(thm)],[27192])).
% 136.26/86.90 tff(27194,plain,
% 136.26/86.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB76, bitIndex1) | (~v84(constB75, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB76, bitIndex1))),
% 136.26/86.90 inference(transitivity,[status(thm)],[27193, 27191])).
% 136.26/86.90 tff(27195,plain,
% 136.26/86.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | v84(constB76, bitIndex1) | (~v84(constB75, bitIndex1)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27196,plain,
% 136.26/86.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex1)) | (~v84(constB75, bitIndex1)) | v84(constB76, bitIndex1)),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27195, 27194])).
% 136.26/86.90 tff(27197,plain,
% 136.26/86.90 ($false),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27196, 777, 823, 26619, 26616, 26608, 27190])).
% 136.26/86.90 tff(27198,plain,(v84(constB76, bitIndex1) | v94(constB76)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.90 tff(27199,plain,
% 136.26/86.90 (v84(constB76, bitIndex1)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27198, 27110])).
% 136.26/86.90 tff(27200,plain,
% 136.26/86.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex1)) | v84(constB77, bitIndex1) | (~v84(constB76, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex1)) | v84(constB77, bitIndex1) | (~v84(constB76, bitIndex1)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27201,plain,
% 136.26/86.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex1)) | v84(constB77, bitIndex1) | (~v84(constB76, bitIndex1)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27202,plain,
% 136.26/86.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex1)) | v84(constB77, bitIndex1) | (~v84(constB76, bitIndex1))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27201, 27200])).
% 136.26/86.90 tff(27203,plain,
% 136.26/86.90 ($false),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27202, 777, 823, 26591, 26603, 26615, 26513])).
% 136.26/86.90 tff(27204,plain,(v84(constB77, bitIndex1) | (~v84(constB76, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.90 tff(27205,plain,
% 136.26/86.90 (v84(constB77, bitIndex1)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27204, 27199])).
% 136.26/86.90 tff(27206,plain,
% 136.26/86.90 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB77)) | (~v84(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB77)) | (~v84(constB77, bitIndex1)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27207,plain,
% 136.26/86.90 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB77)) | (~v84(constB77, bitIndex1)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27208,plain,
% 136.26/86.90 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB77)) | (~v84(constB77, bitIndex1))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27207, 27206])).
% 136.26/86.90 tff(27209,plain,
% 136.26/86.90 (~v113(constB77)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27208, 1465, 27205])).
% 136.26/86.90 tff(27210,assumption,(v145(constB77)), introduced(assumption)).
% 136.26/86.90 tff(27211,plain,
% 136.26/86.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB77)) | (~v84(constB77, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB77)) | (~v84(constB77, bitIndex2)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27212,plain,
% 136.26/86.90 (((~v84(constB77, bitIndex2)) | (~v145(constB77))) <=> ((~v145(constB77)) | (~v84(constB77, bitIndex2)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27213,plain,
% 136.26/86.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB77)) | (~v84(constB77, bitIndex2))))),
% 136.26/86.90 inference(monotonicity,[status(thm)],[27212])).
% 136.26/86.90 tff(27214,plain,
% 136.26/86.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB77)) | (~v84(constB77, bitIndex2)))),
% 136.26/86.90 inference(transitivity,[status(thm)],[27213, 27211])).
% 136.26/86.90 tff(27215,plain,
% 136.26/86.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v145(constB77)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27216,plain,
% 136.26/86.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB77)) | (~v84(constB77, bitIndex2))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27215, 27214])).
% 136.26/86.90 tff(27217,plain,
% 136.26/86.90 (~v84(constB77, bitIndex2)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27216, 725, 27210])).
% 136.26/86.90 tff(27218,plain,
% 136.26/86.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex2)) | v84(constB77, bitIndex2) | (~v84(constB76, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex2)) | v84(constB77, bitIndex2) | (~v84(constB76, bitIndex2)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27219,plain,
% 136.26/86.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex2)) | v84(constB77, bitIndex2) | (~v84(constB76, bitIndex2)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27220,plain,
% 136.26/86.90 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex2)) | v84(constB77, bitIndex2) | (~v84(constB76, bitIndex2))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27219, 27218])).
% 136.26/86.90 tff(27221,plain,
% 136.26/86.90 (~v84(constB76, bitIndex2)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27220, 777, 767, 26591, 26603, 27217])).
% 136.26/86.90 tff(27222,plain,
% 136.26/86.90 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB77)) | v84(constB77, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB77)) | v84(constB77, bitIndex0))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27223,plain,
% 136.26/86.90 ((v84(constB77, bitIndex0) | (~v145(constB77))) <=> ((~v145(constB77)) | v84(constB77, bitIndex0))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27224,plain,
% 136.26/86.90 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB77, bitIndex0) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB77)) | v84(constB77, bitIndex0)))),
% 136.26/86.90 inference(monotonicity,[status(thm)],[27223])).
% 136.26/86.90 tff(27225,plain,
% 136.26/86.90 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB77, bitIndex0) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB77)) | v84(constB77, bitIndex0))),
% 136.26/86.90 inference(transitivity,[status(thm)],[27224, 27222])).
% 136.26/86.90 tff(27226,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB77, bitIndex0) | (~v145(constB77)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27227,plain,
% 136.26/86.90 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB77)) | v84(constB77, bitIndex0)),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27226, 27225])).
% 136.26/86.90 tff(27228,plain,
% 136.26/86.90 (v84(constB77, bitIndex0)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27227, 788, 27210])).
% 136.26/86.90 tff(27229,plain,
% 136.26/86.90 (v84(constB76, bitIndex0)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[26713, 805, 795, 26591, 26603, 27228])).
% 136.26/86.90 tff(27230,plain,
% 136.26/86.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB77)) | (~v84(constB77, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB77)) | (~v84(constB77, bitIndex1)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27231,plain,
% 136.26/86.90 (((~v84(constB77, bitIndex1)) | (~v145(constB77))) <=> ((~v145(constB77)) | (~v84(constB77, bitIndex1)))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27232,plain,
% 136.26/86.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB77)) | (~v84(constB77, bitIndex1))))),
% 136.26/86.90 inference(monotonicity,[status(thm)],[27231])).
% 136.26/86.90 tff(27233,plain,
% 136.26/86.90 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v145(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB77)) | (~v84(constB77, bitIndex1)))),
% 136.26/86.90 inference(transitivity,[status(thm)],[27232, 27230])).
% 136.26/86.90 tff(27234,plain,
% 136.26/86.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v145(constB77)))),
% 136.26/86.90 inference(quant_inst,[status(thm)],[])).
% 136.26/86.90 tff(27235,plain,
% 136.26/86.90 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB77)) | (~v84(constB77, bitIndex1))),
% 136.26/86.90 inference(modus_ponens,[status(thm)],[27234, 27233])).
% 136.26/86.90 tff(27236,plain,
% 136.26/86.90 (~v84(constB77, bitIndex1)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27235, 816, 27210])).
% 136.26/86.90 tff(27237,plain,
% 136.26/86.90 (~v84(constB76, bitIndex1)),
% 136.26/86.90 inference(unit_resolution,[status(thm)],[27202, 777, 823, 26591, 26603, 27236])).
% 136.26/86.90 tff(27238,assumption,(~v84(constB76, bitIndex2)), introduced(assumption)).
% 136.26/86.90 tff(27239,plain,
% 136.26/86.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB76, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB76, bitIndex2))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27240,plain,
% 136.26/86.90 (((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | v84(constB76, bitIndex2) | (~v84(constB75, bitIndex2))) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB76, bitIndex2))),
% 136.26/86.90 inference(rewrite,[status(thm)],[])).
% 136.26/86.90 tff(27241,plain,
% 136.26/86.90 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | v84(constB76, bitIndex2) | (~v84(constB75, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB76, bitIndex2)))),
% 136.26/86.91 inference(monotonicity,[status(thm)],[27240])).
% 136.26/86.91 tff(27242,plain,
% 136.26/86.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | v84(constB76, bitIndex2) | (~v84(constB75, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB76, bitIndex2))),
% 136.26/86.91 inference(transitivity,[status(thm)],[27241, 27239])).
% 136.26/86.91 tff(27243,plain,
% 136.26/86.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | v84(constB76, bitIndex2) | (~v84(constB75, bitIndex2)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27244,plain,
% 136.26/86.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex2)) | (~v84(constB75, bitIndex2)) | v84(constB76, bitIndex2)),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27243, 27242])).
% 136.26/86.91 tff(27245,plain,
% 136.26/86.91 (v94(constB76) | (~v84(constB75, bitIndex2))),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27244, 777, 767, 26619, 27238])).
% 136.26/86.91 tff(27246,plain,
% 136.26/86.91 (~v84(constB75, bitIndex2)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27245, 26616])).
% 136.26/86.91 tff(27247,plain,
% 136.26/86.91 (~v84(constB74, bitIndex2)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[26991, 777, 767, 26901, 26913, 27246])).
% 136.26/86.91 tff(27248,plain,
% 136.26/86.91 (~v84(constB73, bitIndex2)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[26983, 777, 767, 26776, 26773, 27247])).
% 136.26/86.91 tff(27249,assumption,(v84(constB76, bitIndex0)), introduced(assumption)).
% 136.26/86.91 tff(27250,plain,
% 136.26/86.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB76, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB76, bitIndex0)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27251,plain,
% 136.26/86.91 (((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB76, bitIndex0)) | v84(constB75, bitIndex0)) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB76, bitIndex0)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27252,plain,
% 136.26/86.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB76, bitIndex0)) | v84(constB75, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB76, bitIndex0))))),
% 136.26/86.91 inference(monotonicity,[status(thm)],[27251])).
% 136.26/86.91 tff(27253,plain,
% 136.26/86.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB76, bitIndex0)) | v84(constB75, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB76, bitIndex0)))),
% 136.26/86.91 inference(transitivity,[status(thm)],[27252, 27250])).
% 136.26/86.91 tff(27254,plain,
% 136.26/86.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB76, bitIndex0)) | v84(constB75, bitIndex0))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27255,plain,
% 136.26/86.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB75, bitIndex0) | (~v84(constB76, bitIndex0))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27254, 27253])).
% 136.26/86.91 tff(27256,plain,
% 136.26/86.91 (v94(constB76) | v84(constB75, bitIndex0)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27255, 805, 795, 26619, 27249])).
% 136.26/86.91 tff(27257,plain,
% 136.26/86.91 (v84(constB75, bitIndex0)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27256, 26616])).
% 136.26/86.91 tff(27258,plain,
% 136.26/86.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB74, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB74, bitIndex0))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27259,plain,
% 136.26/86.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB74, bitIndex0))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27260,plain,
% 136.26/86.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB74, constB75)) | v94(constB75) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB74, bitIndex0)),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27259, 27258])).
% 136.26/86.91 tff(27261,plain,
% 136.26/86.91 (v84(constB74, bitIndex0)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27260, 805, 795, 26901, 26913, 27257])).
% 136.26/86.91 tff(27262,plain,
% 136.26/86.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB74, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB74, bitIndex0)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27263,plain,
% 136.26/86.91 (((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB74, bitIndex0)) | v84(constB73, bitIndex0)) <=> ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB74, bitIndex0)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27264,plain,
% 136.26/86.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB74, bitIndex0)) | v84(constB73, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB74, bitIndex0))))),
% 136.26/86.91 inference(monotonicity,[status(thm)],[27263])).
% 136.26/86.91 tff(27265,plain,
% 136.26/86.91 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB74, bitIndex0)) | v84(constB73, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB74, bitIndex0)))),
% 136.26/86.91 inference(transitivity,[status(thm)],[27264, 27262])).
% 136.26/86.91 tff(27266,plain,
% 136.26/86.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | (~v84(constB74, bitIndex0)) | v84(constB73, bitIndex0))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27267,plain,
% 136.26/86.91 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB73, constB74)) | v94(constB74) | (~less_3(bitIndex0)) | v84(constB73, bitIndex0) | (~v84(constB74, bitIndex0))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27266, 27265])).
% 136.26/86.91 tff(27268,plain,
% 136.26/86.91 (v84(constB73, bitIndex0)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27267, 805, 795, 26776, 26773, 27261])).
% 136.26/86.91 tff(27269,plain,
% 136.26/86.91 (v94(constB76) | (~v84(constB75, bitIndex1))),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27196, 777, 823, 26619, 26608])).
% 136.26/86.91 tff(27270,plain,
% 136.26/86.91 (~v84(constB75, bitIndex1)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27269, 26616])).
% 136.26/86.91 tff(27271,plain,
% 136.26/86.91 (~v84(constB74, bitIndex1)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[26916, 777, 823, 26901, 26913, 27270])).
% 136.26/86.91 tff(27272,plain,
% 136.26/86.91 (~v84(constB73, bitIndex1)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[26891, 777, 823, 26776, 26773, 27271])).
% 136.26/86.91 tff(27273,plain,
% 136.26/86.91 ((~v84(constB73, bitIndex0)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[26874, 865, 26855])).
% 136.26/86.91 tff(27274,plain,
% 136.26/86.91 ($false),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27273, 27272, 27268, 27248])).
% 136.26/86.91 tff(27275,plain,(v94(constB76) | v94(constB74) | v84(constB76, bitIndex1) | v84(constB76, bitIndex2) | (~v84(constB76, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.91 tff(27276,plain,
% 136.26/86.91 ($false),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27275, 27237, 27229, 26616, 27221, 26773])).
% 136.26/86.91 tff(27277,plain,((~v145(constB77)) | v94(constB76) | v94(constB74)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.91 tff(27278,plain,
% 136.26/86.91 (~v145(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27277, 27110, 26773])).
% 136.26/86.91 tff(27279,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB77) | v113(constB77) | (~v112(constB77)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB77) | v113(constB77) | (~v112(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27280,plain,
% 136.26/86.91 ((v113(constB77) | (~v112(constB77)) | v145(constB77)) <=> (v145(constB77) | v113(constB77) | (~v112(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27281,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB77) | (~v112(constB77)) | v145(constB77))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB77) | v113(constB77) | (~v112(constB77))))),
% 136.26/86.91 inference(monotonicity,[status(thm)],[27280])).
% 136.26/86.91 tff(27282,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB77) | (~v112(constB77)) | v145(constB77))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB77) | v113(constB77) | (~v112(constB77)))),
% 136.26/86.91 inference(transitivity,[status(thm)],[27281, 27279])).
% 136.26/86.91 tff(27283,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB77) | (~v112(constB77)) | v145(constB77))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27284,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB77) | v113(constB77) | (~v112(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27283, 27282])).
% 136.26/86.91 tff(27285,plain,
% 136.26/86.91 (v113(constB77) | (~v112(constB77))),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27284, 2894, 27278])).
% 136.26/86.91 tff(27286,plain,
% 136.26/86.91 (~v112(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27285, 27209])).
% 136.26/86.91 tff(27287,plain,
% 136.26/86.91 ($false),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27244, 777, 767, 26619, 26616, 27238, 26740])).
% 136.26/86.91 tff(27288,plain,(v84(constB76, bitIndex2) | v94(constB76) | (~v84(constB75, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.91 tff(27289,plain,
% 136.26/86.91 (v84(constB76, bitIndex2)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27288, 27110, 26994])).
% 136.26/86.91 tff(27290,assumption,(~v84(constB77, bitIndex2)), introduced(assumption)).
% 136.26/86.91 tff(27291,assumption,(v84(constB76, bitIndex2)), introduced(assumption)).
% 136.26/86.91 tff(27292,plain,
% 136.26/86.91 ($false),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27220, 777, 767, 26591, 26603, 27291, 27290])).
% 136.26/86.91 tff(27293,plain,(v84(constB77, bitIndex2) | (~v84(constB76, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.91 tff(27294,plain,
% 136.26/86.91 (v84(constB77, bitIndex2)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27293, 27289])).
% 136.26/86.91 tff(27295,plain,
% 136.26/86.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v115(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB77, bitIndex2)) | (~v115(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27296,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v115(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27297,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB77, bitIndex2)) | (~v115(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27296, 27295])).
% 136.26/86.91 tff(27298,plain,
% 136.26/86.91 (~v115(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27297, 2665, 27294])).
% 136.26/86.91 tff(27299,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB77) | v115(constB77) | (~v111(constB77)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB77) | v115(constB77) | (~v111(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27300,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB77) | v115(constB77) | (~v111(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27301,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB77) | v115(constB77) | (~v111(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27300, 27299])).
% 136.26/86.91 tff(27302,plain,
% 136.26/86.91 (~v111(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27301, 2911, 27298, 27286])).
% 136.26/86.91 tff(27303,plain,
% 136.26/86.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v116(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB77, bitIndex2)) | (~v116(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27304,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB77, bitIndex2)) | (~v116(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27305,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB77, bitIndex2)) | (~v116(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27304, 27303])).
% 136.26/86.91 tff(27306,plain,
% 136.26/86.91 (~v116(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27305, 1130, 27294])).
% 136.26/86.91 tff(27307,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB77) | v116(constB77) | (~v110(constB77)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB77) | v116(constB77) | (~v110(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27308,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB77) | v116(constB77) | (~v110(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27309,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB77) | v116(constB77) | (~v110(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27308, 27307])).
% 136.26/86.91 tff(27310,plain,
% 136.26/86.91 (~v110(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27309, 2932, 27306, 27302])).
% 136.26/86.91 tff(27311,plain,
% 136.26/86.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v172(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v172(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27312,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v172(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27313,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v172(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27312, 27311])).
% 136.26/86.91 tff(27314,plain,
% 136.26/86.91 (~v172(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27313, 2289, 27205])).
% 136.26/86.91 tff(27315,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB77)) | v172(constB77) | v110(constB77))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB77)) | v172(constB77) | v110(constB77))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27316,plain,
% 136.26/86.91 ((v110(constB77) | (~v109(constB77)) | v172(constB77)) <=> ((~v109(constB77)) | v172(constB77) | v110(constB77))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27317,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB77) | (~v109(constB77)) | v172(constB77))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB77)) | v172(constB77) | v110(constB77)))),
% 136.26/86.91 inference(monotonicity,[status(thm)],[27316])).
% 136.26/86.91 tff(27318,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB77) | (~v109(constB77)) | v172(constB77))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB77)) | v172(constB77) | v110(constB77))),
% 136.26/86.91 inference(transitivity,[status(thm)],[27317, 27315])).
% 136.26/86.91 tff(27319,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB77) | (~v109(constB77)) | v172(constB77))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27320,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB77)) | v172(constB77) | v110(constB77)),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27319, 27318])).
% 136.26/86.91 tff(27321,plain,
% 136.26/86.91 ((~v109(constB77)) | v110(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27320, 2871, 27314])).
% 136.26/86.91 tff(27322,plain,
% 136.26/86.91 (~v109(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27321, 27310])).
% 136.26/86.91 tff(27323,plain,
% 136.26/86.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v118(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v118(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27324,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB77, bitIndex1)) | (~v118(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27325,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB77, bitIndex1)) | (~v118(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27324, 27323])).
% 136.26/86.91 tff(27326,plain,
% 136.26/86.91 (~v118(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27325, 2842, 27205])).
% 136.26/86.91 tff(27327,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB77) | v118(constB77) | (~v108(constB77)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB77) | v118(constB77) | (~v108(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27328,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB77) | v118(constB77) | (~v108(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27329,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB77) | v118(constB77) | (~v108(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27328, 27327])).
% 136.26/86.91 tff(27330,plain,
% 136.26/86.91 (v109(constB77) | (~v108(constB77))),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27329, 2856, 27326])).
% 136.26/86.91 tff(27331,plain,
% 136.26/86.91 (~v108(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27330, 27322])).
% 136.26/86.91 tff(27332,assumption,(v107(constB77)), introduced(assumption)).
% 136.26/86.91 tff(27333,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB77) | v119(constB77) | (~v107(constB77)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB77) | v119(constB77) | (~v107(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27334,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB77) | v119(constB77) | (~v107(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27335,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB77) | v119(constB77) | (~v107(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27334, 27333])).
% 136.26/86.91 tff(27336,plain,
% 136.26/86.91 (v108(constB77) | v119(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27335, 3195, 27332])).
% 136.26/86.91 tff(27337,plain,
% 136.26/86.91 (v119(constB77)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27336, 27331])).
% 136.26/86.91 tff(27338,plain,
% 136.26/86.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v119(constB77)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v119(constB77)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27339,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB77, bitIndex0)) | (~v119(constB77)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27340,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB77, bitIndex0)) | (~v119(constB77))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27339, 27338])).
% 136.26/86.91 tff(27341,plain,
% 136.26/86.91 (~v84(constB77, bitIndex0)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27340, 3173, 27337])).
% 136.26/86.91 tff(27342,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB75) | (~v115(constB75)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB75) | (~v115(constB75)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27343,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB75) | (~v115(constB75)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27344,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB75) | (~v115(constB75))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27343, 27342])).
% 136.26/86.91 tff(27345,plain,
% 136.26/86.91 (~v115(constB75)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27344, 945, 27169])).
% 136.26/86.91 tff(27346,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB75) | (~v116(constB75)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB75) | (~v116(constB75)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27347,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB75) | (~v116(constB75)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27348,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB75) | (~v116(constB75))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27347, 27346])).
% 136.26/86.91 tff(27349,plain,
% 136.26/86.91 (~v116(constB75)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27348, 934, 27165])).
% 136.26/86.91 tff(27350,assumption,(~v115(constB75)), introduced(assumption)).
% 136.26/86.91 tff(27351,assumption,(~v116(constB75)), introduced(assumption)).
% 136.26/86.91 tff(27352,assumption,(v84(constB75, bitIndex1)), introduced(assumption)).
% 136.26/86.91 tff(27353,plain,
% 136.26/86.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v116(constB75))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v116(constB75))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27354,plain,
% 136.26/86.91 (((~v84(constB75, bitIndex0)) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v116(constB75)) <=> ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v116(constB75))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27355,plain,
% 136.26/86.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB75, bitIndex0)) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v116(constB75))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v116(constB75)))),
% 136.26/86.91 inference(monotonicity,[status(thm)],[27354])).
% 136.26/86.91 tff(27356,plain,
% 136.26/86.91 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB75, bitIndex0)) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v116(constB75))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v116(constB75))),
% 136.26/86.91 inference(transitivity,[status(thm)],[27355, 27353])).
% 136.26/86.91 tff(27357,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB75, bitIndex0)) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v116(constB75))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27358,plain,
% 136.26/86.91 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v116(constB75)),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27357, 27356])).
% 136.26/86.91 tff(27359,plain,
% 136.26/86.91 ((~v84(constB75, bitIndex0)) | v84(constB75, bitIndex2) | v116(constB75)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27358, 1076, 27352])).
% 136.26/86.91 tff(27360,plain,
% 136.26/86.91 (~v84(constB75, bitIndex0)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27359, 26987, 27351])).
% 136.26/86.91 tff(27361,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v115(constB75))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v115(constB75))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27362,plain,
% 136.26/86.91 ((v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v115(constB75)) <=> (v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v115(constB75))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27363,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v115(constB75))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v115(constB75)))),
% 136.26/86.91 inference(monotonicity,[status(thm)],[27362])).
% 136.26/86.91 tff(27364,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v115(constB75))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v115(constB75))),
% 136.26/86.91 inference(transitivity,[status(thm)],[27363, 27361])).
% 136.26/86.91 tff(27365,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | v84(constB75, bitIndex2) | v115(constB75))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27366,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex1)) | v115(constB75)),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27365, 27364])).
% 136.26/86.91 tff(27367,plain,
% 136.26/86.91 (v84(constB75, bitIndex0) | v84(constB75, bitIndex2) | v115(constB75)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27366, 1095, 27352])).
% 136.26/86.91 tff(27368,plain,
% 136.26/86.91 ($false),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27367, 27360, 26987, 27350])).
% 136.26/86.91 tff(27369,plain,(v84(constB75, bitIndex2) | v115(constB75) | (~v84(constB75, bitIndex1)) | v116(constB75)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.91 tff(27370,plain,
% 136.26/86.91 (v84(constB75, bitIndex2)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27369, 27190, 27349, 27345])).
% 136.26/86.91 tff(27371,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB75) | (~v119(constB75)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB75) | (~v119(constB75)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27372,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB75) | (~v119(constB75)))),
% 136.26/86.91 inference(quant_inst,[status(thm)],[])).
% 136.26/86.91 tff(27373,plain,
% 136.26/86.91 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB75) | (~v119(constB75))),
% 136.26/86.91 inference(modus_ponens,[status(thm)],[27372, 27371])).
% 136.26/86.91 tff(27374,plain,
% 136.26/86.91 (~v119(constB75)),
% 136.26/86.91 inference(unit_resolution,[status(thm)],[27373, 1927, 27153])).
% 136.26/86.91 tff(27375,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | v119(constB75) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB75, bitIndex0) | v119(constB75) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27376,plain,
% 136.26/86.91 ((v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75)) <=> (v84(constB75, bitIndex0) | v119(constB75) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)))),
% 136.26/86.91 inference(rewrite,[status(thm)],[])).
% 136.26/86.91 tff(27377,plain,
% 136.26/86.91 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | v119(constB75) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2))))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27376])).
% 136.26/86.92 tff(27378,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB75, bitIndex0) | v119(constB75) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27377, 27375])).
% 136.26/86.92 tff(27379,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2)) | v119(constB75))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27380,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB75, bitIndex0) | v119(constB75) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27379, 27378])).
% 136.26/86.92 tff(27381,plain,
% 136.26/86.92 (v84(constB75, bitIndex0) | (~v84(constB75, bitIndex1)) | (~v84(constB75, bitIndex2))),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27380, 1910, 27374])).
% 136.26/86.92 tff(27382,plain,
% 136.26/86.92 (v84(constB75, bitIndex0)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27381, 27190, 27370])).
% 136.26/86.92 tff(27383,plain,
% 136.26/86.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB76, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB76, bitIndex0))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27384,plain,
% 136.26/86.92 (((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB76, bitIndex0) | (~v84(constB75, bitIndex0))) <=> ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB76, bitIndex0))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27385,plain,
% 136.26/86.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB76, bitIndex0) | (~v84(constB75, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB76, bitIndex0)))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27384])).
% 136.26/86.92 tff(27386,plain,
% 136.26/86.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB76, bitIndex0) | (~v84(constB75, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB76, bitIndex0))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27385, 27383])).
% 136.26/86.92 tff(27387,plain,
% 136.26/86.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | v84(constB76, bitIndex0) | (~v84(constB75, bitIndex0)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27388,plain,
% 136.26/86.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB75, constB76)) | v94(constB76) | (~less_3(bitIndex0)) | (~v84(constB75, bitIndex0)) | v84(constB76, bitIndex0)),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27387, 27386])).
% 136.26/86.92 tff(27389,plain,
% 136.26/86.92 ($false),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27388, 777, 795, 26619, 26616, 26710, 27382])).
% 136.26/86.92 tff(27390,plain,(v84(constB76, bitIndex0) | v94(constB76)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.92 tff(27391,plain,
% 136.26/86.92 (v84(constB76, bitIndex0)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27390, 27110])).
% 136.26/86.92 tff(27392,plain,
% 136.26/86.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex0)) | v84(constB77, bitIndex0) | (~v84(constB76, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex0)) | v84(constB77, bitIndex0) | (~v84(constB76, bitIndex0)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27393,plain,
% 136.26/86.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex0)) | v84(constB77, bitIndex0) | (~v84(constB76, bitIndex0)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27394,plain,
% 136.26/86.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB76, constB77)) | v94(constB77) | (~less_3(bitIndex0)) | v84(constB77, bitIndex0) | (~v84(constB76, bitIndex0))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27393, 27392])).
% 136.26/86.92 tff(27395,plain,
% 136.26/86.92 ($false),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27394, 777, 795, 26591, 26603, 27391, 27341])).
% 136.26/86.92 tff(27396,plain,(v94(constB74) | (~v107(constB77))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.92 tff(27397,plain,
% 136.26/86.92 (v94(constB74)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27396, 26772])).
% 136.26/86.92 tff(27398,plain,
% 136.26/86.92 (~v84(constB74, bitIndex1)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[26918, 26472])).
% 136.26/86.92 tff(27399,assumption,(v123(constB74, bitIndex1)), introduced(assumption)).
% 136.26/86.92 tff(27400,plain,
% 136.26/86.92 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v84(constB74, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v84(constB74, bitIndex1))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27401,plain,
% 136.26/86.92 (((~less_3(bitIndex1)) | (~v94(constB74)) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1))) <=> ((~v94(constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v84(constB74, bitIndex1))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27402,plain,
% 136.26/86.92 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB74)) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v84(constB74, bitIndex1)))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27401])).
% 136.26/86.92 tff(27403,plain,
% 136.26/86.92 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB74)) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v84(constB74, bitIndex1))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27402, 27400])).
% 136.26/86.92 tff(27404,plain,
% 136.26/86.92 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB74)) | v84(constB74, bitIndex1) | (~v123(constB74, bitIndex1)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27405,plain,
% 136.26/86.92 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v84(constB74, bitIndex1)),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27404, 27403])).
% 136.26/86.92 tff(27406,plain,
% 136.26/86.92 ($false),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27405, 1674, 823, 26465, 26885, 27399])).
% 136.26/86.92 tff(27407,plain,((~v123(constB74, bitIndex1)) | (~v94(constB74)) | v84(constB74, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.92 tff(27408,plain,
% 136.26/86.92 (~v123(constB74, bitIndex1)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27407, 27398, 27397])).
% 136.26/86.92 tff(27409,assumption,(~v123(constB74, bitIndex1)), introduced(assumption)).
% 136.26/86.92 tff(27410,plain,
% 136.26/86.92 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB73, constB74)) | (~less_3(bitIndex1)) | v123(constB74, bitIndex1) | (~v121(constB73, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB73, constB74)) | (~less_3(bitIndex1)) | v123(constB74, bitIndex1) | (~v121(constB73, bitIndex1)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27411,plain,
% 136.26/86.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB73, constB74)) | (~less_3(bitIndex1)) | v123(constB74, bitIndex1) | (~v121(constB73, bitIndex1)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27412,plain,
% 136.26/86.92 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB73, constB74)) | (~less_3(bitIndex1)) | v123(constB74, bitIndex1) | (~v121(constB73, bitIndex1))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27411, 27410])).
% 136.26/86.92 tff(27413,plain,
% 136.26/86.92 ($false),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27412, 1708, 823, 26776, 26450, 27409])).
% 136.26/86.92 tff(27414,plain,(v123(constB74, bitIndex1) | (~v121(constB73, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.92 tff(27415,plain,
% 136.26/86.92 (~v121(constB73, bitIndex1)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27414, 27408])).
% 136.26/86.92 tff(27416,assumption,(~v121(constB73, bitIndex1)), introduced(assumption)).
% 136.26/86.92 tff(27417,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27418,plain,
% 136.26/86.92 ((v26(constB73) | v121(constB73, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1))) <=> (v26(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27419,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB73) | v121(constB73, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1)))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27418])).
% 136.26/86.92 tff(27420,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB73) | v121(constB73, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27419, 27417])).
% 136.26/86.92 tff(27421,plain,
% 136.26/86.92 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB73) | v121(constB73, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27422,plain,
% 136.26/86.92 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB73) | (~less_3(bitIndex1)) | (~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1)),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27421, 27420])).
% 136.26/86.92 tff(27423,plain,
% 136.26/86.92 ($false),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27422, 1728, 823, 26455, 26327, 27416])).
% 136.26/86.92 tff(27424,plain,((~v124(constB73, bitIndex1)) | v121(constB73, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.92 tff(27425,plain,
% 136.26/86.92 (~v124(constB73, bitIndex1)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27424, 27415])).
% 136.26/86.92 tff(27426,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB73)) | (~b010(bitIndex1)) | v124(constB73, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB73)) | (~b010(bitIndex1)) | v124(constB73, bitIndex1))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27427,plain,
% 136.26/86.92 (((~v145(constB73)) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB73)) | (~b010(bitIndex1)) | v124(constB73, bitIndex1))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27428,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB73)) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB73)) | (~b010(bitIndex1)) | v124(constB73, bitIndex1)))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27427])).
% 136.26/86.92 tff(27429,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB73)) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB73)) | (~b010(bitIndex1)) | v124(constB73, bitIndex1))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27428, 27426])).
% 136.26/86.92 tff(27430,plain,
% 136.26/86.92 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB73)) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~b010(bitIndex1)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27431,plain,
% 136.26/86.92 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB73)) | (~b010(bitIndex1)) | v124(constB73, bitIndex1)),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27430, 27429])).
% 136.26/86.92 tff(27432,plain,
% 136.26/86.92 ($false),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27431, 1821, 1818, 823, 26050, 26451])).
% 136.26/86.92 tff(27433,plain,(v124(constB73, bitIndex1) | (~v145(constB73))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.92 tff(27434,plain,
% 136.26/86.92 (~v145(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27433, 27425])).
% 136.26/86.92 tff(27435,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB73) | v113(constB73) | (~v112(constB73)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB73) | v113(constB73) | (~v112(constB73)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27436,plain,
% 136.26/86.92 ((v113(constB73) | (~v112(constB73)) | v145(constB73)) <=> (v145(constB73) | v113(constB73) | (~v112(constB73)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27437,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB73) | (~v112(constB73)) | v145(constB73))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB73) | v113(constB73) | (~v112(constB73))))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27436])).
% 136.26/86.92 tff(27438,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB73) | (~v112(constB73)) | v145(constB73))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB73) | v113(constB73) | (~v112(constB73)))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27437, 27435])).
% 136.26/86.92 tff(27439,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB73) | (~v112(constB73)) | v145(constB73))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27440,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB73) | v113(constB73) | (~v112(constB73))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27439, 27438])).
% 136.26/86.92 tff(27441,plain,
% 136.26/86.92 (v113(constB73) | (~v112(constB73))),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27440, 2894, 27434])).
% 136.26/86.92 tff(27442,plain,
% 136.26/86.92 (~v112(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27441, 26471])).
% 136.26/86.92 tff(27443,plain,
% 136.26/86.92 (~v115(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[26342, 3011, 26147])).
% 136.26/86.92 tff(27444,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB73) | v115(constB73) | (~v111(constB73)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB73) | v115(constB73) | (~v111(constB73)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27445,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB73) | v115(constB73) | (~v111(constB73)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27446,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB73) | v115(constB73) | (~v111(constB73))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27445, 27444])).
% 136.26/86.92 tff(27447,plain,
% 136.26/86.92 (~v111(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27446, 2911, 27443, 27442])).
% 136.26/86.92 tff(27448,plain,
% 136.26/86.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB73, bitIndex0)) | (~v119(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB73, bitIndex0)) | (~v119(constB73)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27449,plain,
% 136.26/86.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB73, bitIndex0)) | (~v119(constB73)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27450,plain,
% 136.26/86.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB73, bitIndex0)) | (~v119(constB73))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27449, 27448])).
% 136.26/86.92 tff(27451,plain,
% 136.26/86.92 (~v119(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27450, 3173, 26147])).
% 136.26/86.92 tff(27452,plain,
% 136.26/86.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v94(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v94(constB74)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27453,plain,
% 136.26/86.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB73, constB74)) | v104(constB74) | (~v94(constB74)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27454,plain,
% 136.26/86.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB73, constB74)) | v104(constB74) | (~v94(constB74))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27453, 27452])).
% 136.26/86.92 tff(27455,plain,
% 136.26/86.92 (v104(constB74) | (~v94(constB74))),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27454, 3113, 26776])).
% 136.26/86.92 tff(27456,plain,
% 136.26/86.92 (v104(constB74)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27455, 27397])).
% 136.26/86.92 tff(27457,plain,
% 136.26/86.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB73, constB74)) | (~v104(constB74)) | v102(constB73))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB73, constB74)) | (~v104(constB74)) | v102(constB73))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27458,plain,
% 136.26/86.92 (((~nextState(constB73, constB74)) | v102(constB73) | (~v104(constB74))) <=> ((~nextState(constB73, constB74)) | (~v104(constB74)) | v102(constB73))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27459,plain,
% 136.26/86.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB73, constB74)) | v102(constB73) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB73, constB74)) | (~v104(constB74)) | v102(constB73)))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27458])).
% 136.26/86.92 tff(27460,plain,
% 136.26/86.92 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB73, constB74)) | v102(constB73) | (~v104(constB74)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB73, constB74)) | (~v104(constB74)) | v102(constB73))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27459, 27457])).
% 136.26/86.92 tff(27461,plain,
% 136.26/86.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB73, constB74)) | v102(constB73) | (~v104(constB74)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27462,plain,
% 136.26/86.92 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB73, constB74)) | (~v104(constB74)) | v102(constB73)),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27461, 27460])).
% 136.26/86.92 tff(27463,plain,
% 136.26/86.92 ((~v104(constB74)) | v102(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27462, 3128, 26776])).
% 136.26/86.92 tff(27464,plain,
% 136.26/86.92 (v102(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27463, 27456])).
% 136.26/86.92 tff(27465,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB73)) | v26(constB73) | v106(constB73))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB73)) | v26(constB73) | v106(constB73))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27466,plain,
% 136.26/86.92 ((v26(constB73) | v106(constB73) | (~v102(constB73))) <=> ((~v102(constB73)) | v26(constB73) | v106(constB73))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27467,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB73) | v106(constB73) | (~v102(constB73)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB73)) | v26(constB73) | v106(constB73)))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27466])).
% 136.26/86.92 tff(27468,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB73) | v106(constB73) | (~v102(constB73)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB73)) | v26(constB73) | v106(constB73))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27467, 27465])).
% 136.26/86.92 tff(27469,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB73) | v106(constB73) | (~v102(constB73)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27470,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB73)) | v26(constB73) | v106(constB73)),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27469, 27468])).
% 136.26/86.92 tff(27471,plain,
% 136.26/86.92 ((~v102(constB73)) | v106(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27470, 3146, 26455])).
% 136.26/86.92 tff(27472,plain,
% 136.26/86.92 (v106(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27471, 27464])).
% 136.26/86.92 tff(27473,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB73) | (~v106(constB73)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB73) | (~v106(constB73)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27474,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB73) | (~v106(constB73)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27475,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB73) | (~v106(constB73))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27474, 27473])).
% 136.26/86.92 tff(27476,plain,
% 136.26/86.92 (v107(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27475, 3161, 27472])).
% 136.26/86.92 tff(27477,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB73) | v119(constB73) | (~v107(constB73)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB73) | v119(constB73) | (~v107(constB73)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27478,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB73) | v119(constB73) | (~v107(constB73)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27479,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB73) | v119(constB73) | (~v107(constB73))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27478, 27477])).
% 136.26/86.92 tff(27480,plain,
% 136.26/86.92 (v108(constB73) | v119(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27479, 3195, 27476])).
% 136.26/86.92 tff(27481,plain,
% 136.26/86.92 (v108(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27480, 27451])).
% 136.26/86.92 tff(27482,plain,
% 136.26/86.92 (~v118(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[26364, 2842, 26155])).
% 136.26/86.92 tff(27483,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB73) | v118(constB73) | (~v108(constB73)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB73) | v118(constB73) | (~v108(constB73)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27484,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB73) | v118(constB73) | (~v108(constB73)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27485,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB73) | v118(constB73) | (~v108(constB73))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27484, 27483])).
% 136.26/86.92 tff(27486,plain,
% 136.26/86.92 (v109(constB73) | (~v108(constB73))),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27485, 2856, 27482])).
% 136.26/86.92 tff(27487,plain,
% 136.26/86.92 (v109(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27486, 27481])).
% 136.26/86.92 tff(27488,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB73)) | v124(constB73, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB73)) | v124(constB73, bitIndex1))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27489,plain,
% 136.26/86.92 (((~v172(constB73)) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB73)) | v124(constB73, bitIndex1))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27490,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB73)) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB73)) | v124(constB73, bitIndex1)))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27489])).
% 136.26/86.92 tff(27491,plain,
% 136.26/86.92 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB73)) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB73)) | v124(constB73, bitIndex1))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27490, 27488])).
% 136.26/86.92 tff(27492,plain,
% 136.26/86.92 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB73)) | (~less_3(bitIndex1)) | v124(constB73, bitIndex1) | (~b110(bitIndex1)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27493,plain,
% 136.26/86.92 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB73)) | v124(constB73, bitIndex1)),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27492, 27491])).
% 136.26/86.92 tff(27494,plain,
% 136.26/86.92 ($false),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27493, 1801, 1798, 823, 26320, 26451])).
% 136.26/86.92 tff(27495,plain,(v124(constB73, bitIndex1) | (~v172(constB73))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.92 tff(27496,plain,
% 136.26/86.92 (~v172(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27495, 27425])).
% 136.26/86.92 tff(27497,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB73)) | v172(constB73) | v110(constB73))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB73)) | v172(constB73) | v110(constB73))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27498,plain,
% 136.26/86.92 ((v110(constB73) | (~v109(constB73)) | v172(constB73)) <=> ((~v109(constB73)) | v172(constB73) | v110(constB73))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27499,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB73) | (~v109(constB73)) | v172(constB73))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB73)) | v172(constB73) | v110(constB73)))),
% 136.26/86.92 inference(monotonicity,[status(thm)],[27498])).
% 136.26/86.92 tff(27500,plain,
% 136.26/86.92 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB73) | (~v109(constB73)) | v172(constB73))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB73)) | v172(constB73) | v110(constB73))),
% 136.26/86.92 inference(transitivity,[status(thm)],[27499, 27497])).
% 136.26/86.92 tff(27501,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB73) | (~v109(constB73)) | v172(constB73))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27502,plain,
% 136.26/86.92 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB73)) | v172(constB73) | v110(constB73)),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27501, 27500])).
% 136.26/86.92 tff(27503,plain,
% 136.26/86.92 ((~v109(constB73)) | v110(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27502, 2871, 27496])).
% 136.26/86.92 tff(27504,plain,
% 136.26/86.92 (v110(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27503, 27487])).
% 136.26/86.92 tff(27505,plain,
% 136.26/86.92 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v116(constB73)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB73, bitIndex2)) | (~v116(constB73)))),
% 136.26/86.92 inference(rewrite,[status(thm)],[])).
% 136.26/86.92 tff(27506,plain,
% 136.26/86.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB73, bitIndex2)) | (~v116(constB73)))),
% 136.26/86.92 inference(quant_inst,[status(thm)],[])).
% 136.26/86.92 tff(27507,plain,
% 136.26/86.92 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB73, bitIndex2)) | (~v116(constB73))),
% 136.26/86.92 inference(modus_ponens,[status(thm)],[27506, 27505])).
% 136.26/86.92 tff(27508,plain,
% 136.26/86.92 (~v116(constB73)),
% 136.26/86.92 inference(unit_resolution,[status(thm)],[27507, 1130, 26049])).
% 136.26/86.93 tff(27509,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB73) | v116(constB73) | (~v110(constB73)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB73) | v116(constB73) | (~v110(constB73)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27510,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB73) | v116(constB73) | (~v110(constB73)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27511,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB73) | v116(constB73) | (~v110(constB73))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27510, 27509])).
% 136.26/86.93 tff(27512,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27511, 2932, 27508, 27504, 27447])).
% 136.26/86.93 tff(27513,plain,(v84(constB75, bitIndex1) | (~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27514,plain,
% 136.26/86.93 (v84(constB75, bitIndex1)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27513, 26319, 26048, 26467])).
% 136.26/86.93 tff(27515,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27069, 805, 823, 26901, 26913, 26885, 27352])).
% 136.26/86.93 tff(27516,plain,((~v84(constB75, bitIndex1)) | v84(constB74, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27517,plain,
% 136.26/86.93 (v84(constB74, bitIndex1)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27516, 27514])).
% 136.26/86.93 tff(27518,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB74)) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB74)) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27519,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB74)) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27520,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB74)) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27519, 27518])).
% 136.26/86.93 tff(27521,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27520, 1344, 823, 26465, 26895, 27409])).
% 136.26/86.93 tff(27522,plain,((~v84(constB74, bitIndex1)) | (~v94(constB74)) | v123(constB74, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27523,plain,
% 136.26/86.93 (v123(constB74, bitIndex1)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27522, 27517, 26465])).
% 136.26/86.93 tff(27524,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB73, constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v121(constB73, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB73, constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v121(constB73, bitIndex1))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27525,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB73, constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v121(constB73, bitIndex1))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27526,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB73, constB74)) | (~less_3(bitIndex1)) | (~v123(constB74, bitIndex1)) | v121(constB73, bitIndex1)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27525, 27524])).
% 136.26/86.93 tff(27527,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27526, 1362, 823, 26776, 27399, 27416])).
% 136.26/86.93 tff(27528,plain,((~v123(constB74, bitIndex1)) | v121(constB73, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27529,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27528, 27523, 26464])).
% 136.26/86.93 tff(27530,plain,(v94(constB70) | (~v94(constB74))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27531,plain,
% 136.26/86.93 (~v94(constB74)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27530, 25456])).
% 136.26/86.93 tff(27532,plain,
% 136.26/86.93 (~v107(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27396, 27531])).
% 136.26/86.93 tff(27533,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB77) | (~v106(constB77)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB77) | (~v106(constB77)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27534,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB77) | (~v106(constB77)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27535,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB77) | (~v106(constB77))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27534, 27533])).
% 136.26/86.93 tff(27536,plain,
% 136.26/86.93 (~v106(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27535, 3161, 27532])).
% 136.26/86.93 tff(27537,assumption,(v26(constB77)), introduced(assumption)).
% 136.26/86.93 tff(27538,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27539,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27538, 1172, 27537])).
% 136.26/86.93 tff(27540,plain,(~v26(constB77)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27541,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB77)) | v26(constB77) | v106(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB77)) | v26(constB77) | v106(constB77))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27542,plain,
% 136.26/86.93 ((v26(constB77) | v106(constB77) | (~v102(constB77))) <=> ((~v102(constB77)) | v26(constB77) | v106(constB77))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27543,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB77) | v106(constB77) | (~v102(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB77)) | v26(constB77) | v106(constB77)))),
% 136.26/86.93 inference(monotonicity,[status(thm)],[27542])).
% 136.26/86.93 tff(27544,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB77) | v106(constB77) | (~v102(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB77)) | v26(constB77) | v106(constB77))),
% 136.26/86.93 inference(transitivity,[status(thm)],[27543, 27541])).
% 136.26/86.93 tff(27545,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB77) | v106(constB77) | (~v102(constB77)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27546,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB77)) | v26(constB77) | v106(constB77)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27545, 27544])).
% 136.26/86.93 tff(27547,plain,
% 136.26/86.93 ((~v102(constB77)) | v106(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27546, 3146, 27540])).
% 136.26/86.93 tff(27548,plain,
% 136.26/86.93 (~v102(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27547, 27536])).
% 136.26/86.93 tff(27549,plain,
% 136.26/86.93 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27550,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_77_1')).
% 136.26/86.93 tff(27551,plain,
% 136.26/86.93 (nextState(constB77, constB78)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27550, 27549])).
% 136.26/86.93 tff(27552,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB77, constB78)) | (~v104(constB78)) | v102(constB77))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB77, constB78)) | (~v104(constB78)) | v102(constB77))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27553,plain,
% 136.26/86.93 (((~nextState(constB77, constB78)) | v102(constB77) | (~v104(constB78))) <=> ((~nextState(constB77, constB78)) | (~v104(constB78)) | v102(constB77))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27554,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB77, constB78)) | v102(constB77) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB77, constB78)) | (~v104(constB78)) | v102(constB77)))),
% 136.26/86.93 inference(monotonicity,[status(thm)],[27553])).
% 136.26/86.93 tff(27555,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB77, constB78)) | v102(constB77) | (~v104(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB77, constB78)) | (~v104(constB78)) | v102(constB77))),
% 136.26/86.93 inference(transitivity,[status(thm)],[27554, 27552])).
% 136.26/86.93 tff(27556,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB77, constB78)) | v102(constB77) | (~v104(constB78)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27557,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB77, constB78)) | (~v104(constB78)) | v102(constB77)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27556, 27555])).
% 136.26/86.93 tff(27558,plain,
% 136.26/86.93 ((~v104(constB78)) | v102(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27557, 3128, 27551])).
% 136.26/86.93 tff(27559,plain,
% 136.26/86.93 (~v104(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27558, 27548])).
% 136.26/86.93 tff(27560,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v94(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v94(constB78)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27561,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v94(constB78)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27562,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v94(constB78))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27561, 27560])).
% 136.26/86.93 tff(27563,plain,
% 136.26/86.93 (v104(constB78) | (~v94(constB78))),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27562, 3113, 27551])).
% 136.26/86.93 tff(27564,plain,
% 136.26/86.93 (~v94(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27563, 27559])).
% 136.26/86.93 tff(27565,assumption,(~v94(constB78)), introduced(assumption)).
% 136.26/86.93 tff(27566,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27567,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27568,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB77) | (~nextState(constB77, constB78)) | (~v98(constB78))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27567, 27566])).
% 136.26/86.93 tff(27569,plain,
% 136.26/86.93 (~v98(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27568, 541, 27551, 26588])).
% 136.26/86.93 tff(27570,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27571,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB77, constB78)) | v96(constB78) | v98(constB78))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27572,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB77, constB78)) | v96(constB78) | v98(constB78)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27571, 27570])).
% 136.26/86.93 tff(27573,plain,
% 136.26/86.93 (v96(constB78) | v98(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27572, 555, 27551])).
% 136.26/86.93 tff(27574,plain,
% 136.26/86.93 (v96(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27573, 27569])).
% 136.26/86.93 tff(27575,plain,
% 136.26/86.93 (v1(constB78) <=> v1(constB78)),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27576,axiom,(v1(constB78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_78_1')).
% 136.26/86.93 tff(27577,plain,
% 136.26/86.93 (v1(constB78)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27576, 27575])).
% 136.26/86.93 tff(27578,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27579,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27580,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB77, constB78)) | v95(constB78) | (~v96(constB78)) | (~v1(constB78))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27579, 27578])).
% 136.26/86.93 tff(27581,plain,
% 136.26/86.93 (v95(constB78) | (~v96(constB78))),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27580, 573, 27551, 27577])).
% 136.26/86.93 tff(27582,plain,
% 136.26/86.93 (v95(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27581, 27574])).
% 136.26/86.93 tff(27583,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27584,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27585,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB77, constB78)) | (~v95(constB78)) | (~v104(constB78)) | v94(constB78)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27584, 27583])).
% 136.26/86.93 tff(27586,plain,
% 136.26/86.93 ((~v95(constB78)) | (~v104(constB78)) | v94(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27585, 588, 27551])).
% 136.26/86.93 tff(27587,plain,
% 136.26/86.93 ((~v104(constB78)) | v94(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27586, 27582])).
% 136.26/86.93 tff(27588,plain,
% 136.26/86.93 (~v104(constB78)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27587, 27565])).
% 136.26/86.93 tff(27589,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27590,plain,
% 136.26/86.93 (((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78)) <=> ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27591,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))))),
% 136.26/86.93 inference(monotonicity,[status(thm)],[27590])).
% 136.26/86.93 tff(27592,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77)))),
% 136.26/86.93 inference(transitivity,[status(thm)],[27591, 27589])).
% 136.26/86.93 tff(27593,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB77, constB78)) | (~v102(constB77)) | v104(constB78))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27594,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB77, constB78)) | v104(constB78) | (~v102(constB77))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27593, 27592])).
% 136.26/86.93 tff(27595,plain,
% 136.26/86.93 (v104(constB78) | (~v102(constB77))),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27594, 604, 27551])).
% 136.26/86.93 tff(27596,plain,
% 136.26/86.93 (~v102(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27595, 27588])).
% 136.26/86.93 tff(27597,assumption,(~v102(constB77)), introduced(assumption)).
% 136.26/86.93 tff(27598,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB77) | (~v106(constB77)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB77) | (~v106(constB77)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27599,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB77) | (~v106(constB77)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27600,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB77) | (~v106(constB77))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27599, 27598])).
% 136.26/86.93 tff(27601,plain,
% 136.26/86.93 (~v106(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27600, 619, 27597])).
% 136.26/86.93 tff(27602,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB77) | (~v26(constB77)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB77) | (~v26(constB77)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27603,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB77) | (~v26(constB77)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27604,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB77) | (~v26(constB77))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27603, 27602])).
% 136.26/86.93 tff(27605,plain,
% 136.26/86.93 (~v26(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27604, 630, 27597])).
% 136.26/86.93 tff(27606,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27607,plain,
% 136.26/86.93 ((v26(constB77) | (~v107(constB77)) | v106(constB77)) <=> (v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27608,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | v106(constB77) | (~v107(constB77))))),
% 136.26/86.93 inference(monotonicity,[status(thm)],[27607])).
% 136.26/86.93 tff(27609,plain,
% 136.26/86.93 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77)))),
% 136.26/86.93 inference(transitivity,[status(thm)],[27608, 27606])).
% 136.26/86.93 tff(27610,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB77) | (~v107(constB77)) | v106(constB77))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27611,plain,
% 136.26/86.93 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB77) | v106(constB77) | (~v107(constB77))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27610, 27609])).
% 136.26/86.93 tff(27612,plain,
% 136.26/86.93 (v26(constB77) | v106(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27611, 644, 27332])).
% 136.26/86.93 tff(27613,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27612, 27605, 27601])).
% 136.26/86.93 tff(27614,plain,(v102(constB77) | (~v107(constB77))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27615,plain,
% 136.26/86.93 (~v107(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27614, 27596])).
% 136.26/86.93 tff(27616,plain,
% 136.26/86.93 (~v108(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26476, 658, 27615])).
% 136.26/86.93 tff(27617,plain,
% 136.26/86.93 (~v109(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26480, 669, 27616])).
% 136.26/86.93 tff(27618,plain,
% 136.26/86.93 (~v110(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26484, 680, 27617])).
% 136.26/86.93 tff(27619,plain,
% 136.26/86.93 (~v116(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26488, 934, 27618])).
% 136.26/86.93 tff(27620,plain,
% 136.26/86.93 (~v119(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26492, 1927, 27615])).
% 136.26/86.93 tff(27621,assumption,(~v84(constB78, bitIndex1)), introduced(assumption)).
% 136.26/86.93 tff(27622,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex1)) | v84(constB78, bitIndex1) | (~v84(constB77, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex1)) | v84(constB78, bitIndex1) | (~v84(constB77, bitIndex1)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27623,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex1)) | v84(constB78, bitIndex1) | (~v84(constB77, bitIndex1)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27624,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex1)) | v84(constB78, bitIndex1) | (~v84(constB77, bitIndex1))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27623, 27622])).
% 136.26/86.93 tff(27625,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27624, 777, 823, 27551, 27565, 26559, 27621])).
% 136.26/86.93 tff(27626,plain,(v84(constB78, bitIndex1) | v94(constB78) | (~v84(constB77, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27627,plain,
% 136.26/86.93 (~v84(constB77, bitIndex1)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27626, 27565, 27621])).
% 136.26/86.93 tff(27628,plain,
% 136.26/86.93 (v108(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26550, 27627])).
% 136.26/86.93 tff(27629,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26476, 658, 27628, 27615])).
% 136.26/86.93 tff(27630,plain,(v94(constB78) | v84(constB78, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27631,plain,
% 136.26/86.93 (v84(constB78, bitIndex1)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27630, 27565])).
% 136.26/86.93 tff(27632,assumption,(v84(constB78, bitIndex1)), introduced(assumption)).
% 136.26/86.93 tff(27633,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB77, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB77, bitIndex1))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27634,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB77, bitIndex1))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27635,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB77, bitIndex1)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27634, 27633])).
% 136.26/86.93 tff(27636,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27635, 805, 823, 27551, 27565, 26513, 27632])).
% 136.26/86.93 tff(27637,plain,((~v84(constB78, bitIndex1)) | v94(constB78) | v84(constB77, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27638,plain,
% 136.26/86.93 (v84(constB77, bitIndex1)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27637, 27631, 27565])).
% 136.26/86.93 tff(27639,plain,
% 136.26/86.93 (~v111(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26499, 691, 27618])).
% 136.26/86.93 tff(27640,plain,
% 136.26/86.93 (~v115(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26555, 945, 27639])).
% 136.26/86.93 tff(27641,plain,
% 136.26/86.93 (v84(constB77, bitIndex0)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26576, 27640, 27638, 27620])).
% 136.26/86.93 tff(27642,plain,
% 136.26/86.93 ((~v84(constB77, bitIndex0)) | v84(constB77, bitIndex2) | v116(constB77)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[26583, 1076, 27638])).
% 136.26/86.93 tff(27643,plain,
% 136.26/86.93 (v84(constB77, bitIndex2)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27642, 27641, 27619])).
% 136.26/86.93 tff(27644,assumption,(v84(constB77, bitIndex2)), introduced(assumption)).
% 136.26/86.93 tff(27645,assumption,(~v84(constB78, bitIndex2)), introduced(assumption)).
% 136.26/86.93 tff(27646,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex2)) | v84(constB78, bitIndex2) | (~v84(constB77, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex2)) | v84(constB78, bitIndex2) | (~v84(constB77, bitIndex2)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27647,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex2)) | v84(constB78, bitIndex2) | (~v84(constB77, bitIndex2)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27648,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex2)) | v84(constB78, bitIndex2) | (~v84(constB77, bitIndex2))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27647, 27646])).
% 136.26/86.93 tff(27649,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27648, 777, 767, 27551, 27565, 27645, 27644])).
% 136.26/86.93 tff(27650,plain,(v94(constB78) | v84(constB78, bitIndex2) | (~v84(constB77, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27651,plain,
% 136.26/86.93 (v84(constB78, bitIndex2)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27650, 27643, 27565])).
% 136.26/86.93 tff(27652,assumption,(~v84(constB79, bitIndex2)), introduced(assumption)).
% 136.26/86.93 tff(27653,assumption,(v84(constB78, bitIndex2)), introduced(assumption)).
% 136.26/86.93 tff(27654,plain,
% 136.26/86.93 ((~v1(constB79)) <=> (~v1(constB79))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27655,axiom,(~v1(constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_79_1_1')).
% 136.26/86.93 tff(27656,plain,
% 136.26/86.93 (~v1(constB79)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27655, 27654])).
% 136.26/86.93 tff(27657,plain,
% 136.26/86.93 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27658,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_78_1')).
% 136.26/86.93 tff(27659,plain,
% 136.26/86.93 (nextState(constB78, constB79)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27658, 27657])).
% 136.26/86.93 tff(27660,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27661,plain,
% 136.26/86.93 (((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79)) <=> (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27662,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))))),
% 136.26/86.93 inference(monotonicity,[status(thm)],[27661])).
% 136.26/86.93 tff(27663,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79)))),
% 136.26/86.93 inference(transitivity,[status(thm)],[27662, 27660])).
% 136.26/86.93 tff(27664,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB78, constB79)) | (~v95(constB79)) | v1(constB79))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27665,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB79) | (~nextState(constB78, constB79)) | (~v95(constB79))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27664, 27663])).
% 136.26/86.93 tff(27666,plain,
% 136.26/86.93 (~v95(constB79)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27665, 742, 27659, 27656])).
% 136.26/86.93 tff(27667,plain,
% 136.26/86.93 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27668,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27669,plain,
% 136.26/86.93 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB78, constB79)) | v95(constB79) | (~v94(constB79))),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27668, 27667])).
% 136.26/86.93 tff(27670,plain,
% 136.26/86.93 (v95(constB79) | (~v94(constB79))),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27669, 759, 27659])).
% 136.26/86.93 tff(27671,plain,
% 136.26/86.93 (~v94(constB79)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27670, 27666])).
% 136.26/86.93 tff(27672,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | (~v84(constB78, bitIndex2)) | v84(constB79, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | (~v84(constB78, bitIndex2)) | v84(constB79, bitIndex2))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27673,plain,
% 136.26/86.93 (((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | v84(constB79, bitIndex2) | (~v84(constB78, bitIndex2))) <=> ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | (~v84(constB78, bitIndex2)) | v84(constB79, bitIndex2))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27674,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | v84(constB79, bitIndex2) | (~v84(constB78, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | (~v84(constB78, bitIndex2)) | v84(constB79, bitIndex2)))),
% 136.26/86.93 inference(monotonicity,[status(thm)],[27673])).
% 136.26/86.93 tff(27675,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | v84(constB79, bitIndex2) | (~v84(constB78, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | (~v84(constB78, bitIndex2)) | v84(constB79, bitIndex2))),
% 136.26/86.93 inference(transitivity,[status(thm)],[27674, 27672])).
% 136.26/86.93 tff(27676,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | v84(constB79, bitIndex2) | (~v84(constB78, bitIndex2)))),
% 136.26/86.93 inference(quant_inst,[status(thm)],[])).
% 136.26/86.93 tff(27677,plain,
% 136.26/86.93 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex2)) | (~v84(constB78, bitIndex2)) | v84(constB79, bitIndex2)),
% 136.26/86.93 inference(modus_ponens,[status(thm)],[27676, 27675])).
% 136.26/86.93 tff(27678,plain,
% 136.26/86.93 ($false),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27677, 777, 767, 27659, 27671, 27653, 27652])).
% 136.26/86.93 tff(27679,plain,(v84(constB79, bitIndex2) | (~v84(constB78, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.93 tff(27680,plain,
% 136.26/86.93 (v84(constB79, bitIndex2)),
% 136.26/86.93 inference(unit_resolution,[status(thm)],[27679, 27651])).
% 136.26/86.93 tff(27681,assumption,(~v84(constB79, bitIndex1)), introduced(assumption)).
% 136.26/86.93 tff(27682,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27683,plain,
% 136.26/86.93 (((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | v84(constB79, bitIndex1) | (~v84(constB78, bitIndex1))) <=> ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1))),
% 136.26/86.93 inference(rewrite,[status(thm)],[])).
% 136.26/86.93 tff(27684,plain,
% 136.26/86.93 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | v84(constB79, bitIndex1) | (~v84(constB78, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1)))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27683])).
% 136.26/86.94 tff(27685,plain,
% 136.26/86.94 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | v84(constB79, bitIndex1) | (~v84(constB78, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27684, 27682])).
% 136.26/86.94 tff(27686,plain,
% 136.26/86.94 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | v84(constB79, bitIndex1) | (~v84(constB78, bitIndex1)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27687,plain,
% 136.26/86.94 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex1)) | (~v84(constB78, bitIndex1)) | v84(constB79, bitIndex1)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27686, 27685])).
% 136.26/86.94 tff(27688,plain,
% 136.26/86.94 ($false),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27687, 777, 823, 27659, 27671, 27632, 27681])).
% 136.26/86.94 tff(27689,plain,(v84(constB79, bitIndex1) | (~v84(constB78, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.94 tff(27690,plain,
% 136.26/86.94 (v84(constB79, bitIndex1)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27689, 27631])).
% 136.26/86.94 tff(27691,assumption,(~v84(constB78, bitIndex0)), introduced(assumption)).
% 136.26/86.94 tff(27692,plain,
% 136.26/86.94 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex0)) | v84(constB78, bitIndex0) | (~v84(constB77, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex0)) | v84(constB78, bitIndex0) | (~v84(constB77, bitIndex0)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27693,plain,
% 136.26/86.94 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex0)) | v84(constB78, bitIndex0) | (~v84(constB77, bitIndex0)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27694,plain,
% 136.26/86.94 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB77, constB78)) | v94(constB78) | (~less_3(bitIndex0)) | v84(constB78, bitIndex0) | (~v84(constB77, bitIndex0))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27693, 27692])).
% 136.26/86.94 tff(27695,plain,
% 136.26/86.94 ($false),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27694, 777, 795, 27551, 27565, 27691, 26709])).
% 136.26/86.94 tff(27696,plain,(v84(constB78, bitIndex0) | v94(constB78) | (~v84(constB77, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.94 tff(27697,plain,
% 136.26/86.94 (v84(constB78, bitIndex0)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27696, 27641, 27565])).
% 136.26/86.94 tff(27698,assumption,(~v84(constB79, bitIndex0)), introduced(assumption)).
% 136.26/86.94 tff(27699,assumption,(v84(constB78, bitIndex0)), introduced(assumption)).
% 136.26/86.94 tff(27700,plain,
% 136.26/86.94 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | (~v84(constB78, bitIndex0)) | v84(constB79, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | (~v84(constB78, bitIndex0)) | v84(constB79, bitIndex0))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27701,plain,
% 136.26/86.94 (((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | v84(constB79, bitIndex0) | (~v84(constB78, bitIndex0))) <=> ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | (~v84(constB78, bitIndex0)) | v84(constB79, bitIndex0))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27702,plain,
% 136.26/86.94 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | v84(constB79, bitIndex0) | (~v84(constB78, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | (~v84(constB78, bitIndex0)) | v84(constB79, bitIndex0)))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27701])).
% 136.26/86.94 tff(27703,plain,
% 136.26/86.94 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | v84(constB79, bitIndex0) | (~v84(constB78, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | (~v84(constB78, bitIndex0)) | v84(constB79, bitIndex0))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27702, 27700])).
% 136.26/86.94 tff(27704,plain,
% 136.26/86.94 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | v84(constB79, bitIndex0) | (~v84(constB78, bitIndex0)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27705,plain,
% 136.26/86.94 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB78, constB79)) | v94(constB79) | (~less_3(bitIndex0)) | (~v84(constB78, bitIndex0)) | v84(constB79, bitIndex0)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27704, 27703])).
% 136.26/86.94 tff(27706,plain,
% 136.26/86.94 ($false),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27705, 777, 795, 27659, 27671, 27699, 27698])).
% 136.26/86.94 tff(27707,plain,(v84(constB79, bitIndex0) | (~v84(constB78, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.94 tff(27708,plain,
% 136.26/86.94 (v84(constB79, bitIndex0)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27707, 27697])).
% 136.26/86.94 tff(27709,assumption,(v107(constB79)), introduced(assumption)).
% 136.26/86.94 tff(27710,assumption,(v84(constB79, bitIndex1)), introduced(assumption)).
% 136.26/86.94 tff(27711,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB79)) | (~v84(constB79, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB79)) | (~v84(constB79, bitIndex1)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27712,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB79)) | (~v84(constB79, bitIndex1)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27713,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB79)) | (~v84(constB79, bitIndex1))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27712, 27711])).
% 136.26/86.94 tff(27714,plain,
% 136.26/86.94 (~v113(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27713, 1465, 27710])).
% 136.26/86.94 tff(27715,assumption,(~v145(constB79)), introduced(assumption)).
% 136.26/86.94 tff(27716,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB79) | v113(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB79) | v113(constB79) | (~v112(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27717,plain,
% 136.26/86.94 ((v113(constB79) | (~v112(constB79)) | v145(constB79)) <=> (v145(constB79) | v113(constB79) | (~v112(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27718,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB79) | (~v112(constB79)) | v145(constB79))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB79) | v113(constB79) | (~v112(constB79))))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27717])).
% 136.26/86.94 tff(27719,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB79) | (~v112(constB79)) | v145(constB79))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB79) | v113(constB79) | (~v112(constB79)))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27718, 27716])).
% 136.26/86.94 tff(27720,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB79) | (~v112(constB79)) | v145(constB79))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27721,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB79) | v113(constB79) | (~v112(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27720, 27719])).
% 136.26/86.94 tff(27722,plain,
% 136.26/86.94 (v113(constB79) | (~v112(constB79))),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27721, 2894, 27715])).
% 136.26/86.94 tff(27723,plain,
% 136.26/86.94 (~v112(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27722, 27714])).
% 136.26/86.94 tff(27724,assumption,(v84(constB79, bitIndex0)), introduced(assumption)).
% 136.26/86.94 tff(27725,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB79, bitIndex0)) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB79, bitIndex0)) | (~v115(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27726,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB79, bitIndex0)) | (~v115(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27727,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB79, bitIndex0)) | (~v115(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27726, 27725])).
% 136.26/86.94 tff(27728,plain,
% 136.26/86.94 (~v115(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27727, 3011, 27724])).
% 136.26/86.94 tff(27729,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB79) | v115(constB79) | (~v111(constB79)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB79) | v115(constB79) | (~v111(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27730,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB79) | v115(constB79) | (~v111(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27731,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB79) | v115(constB79) | (~v111(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27730, 27729])).
% 136.26/86.94 tff(27732,plain,
% 136.26/86.94 (~v111(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27731, 2911, 27728, 27723])).
% 136.26/86.94 tff(27733,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB79, bitIndex0)) | (~v119(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB79, bitIndex0)) | (~v119(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27734,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB79, bitIndex0)) | (~v119(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27735,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB79, bitIndex0)) | (~v119(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27734, 27733])).
% 136.26/86.94 tff(27736,plain,
% 136.26/86.94 (~v119(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27735, 3173, 27724])).
% 136.26/86.94 tff(27737,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB79) | v119(constB79) | (~v107(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB79) | v119(constB79) | (~v107(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27738,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB79) | v119(constB79) | (~v107(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27739,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB79) | v119(constB79) | (~v107(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27738, 27737])).
% 136.26/86.94 tff(27740,plain,
% 136.26/86.94 (v108(constB79) | v119(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27739, 3195, 27709])).
% 136.26/86.94 tff(27741,plain,
% 136.26/86.94 (v108(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27740, 27736])).
% 136.26/86.94 tff(27742,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB79, bitIndex1)) | (~v118(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB79, bitIndex1)) | (~v118(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27743,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB79, bitIndex1)) | (~v118(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27744,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB79, bitIndex1)) | (~v118(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27743, 27742])).
% 136.26/86.94 tff(27745,plain,
% 136.26/86.94 (~v118(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27744, 2842, 27710])).
% 136.26/86.94 tff(27746,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB79) | v118(constB79) | (~v108(constB79)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB79) | v118(constB79) | (~v108(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27747,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB79) | v118(constB79) | (~v108(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27748,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB79) | v118(constB79) | (~v108(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27747, 27746])).
% 136.26/86.94 tff(27749,plain,
% 136.26/86.94 (v109(constB79) | (~v108(constB79))),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27748, 2856, 27745])).
% 136.26/86.94 tff(27750,plain,
% 136.26/86.94 (v109(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27749, 27741])).
% 136.26/86.94 tff(27751,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB79, bitIndex1)) | (~v172(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB79, bitIndex1)) | (~v172(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27752,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB79, bitIndex1)) | (~v172(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27753,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB79, bitIndex1)) | (~v172(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27752, 27751])).
% 136.26/86.94 tff(27754,plain,
% 136.26/86.94 (~v172(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27753, 2289, 27710])).
% 136.26/86.94 tff(27755,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB79)) | v172(constB79) | v110(constB79))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB79)) | v172(constB79) | v110(constB79))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27756,plain,
% 136.26/86.94 ((v110(constB79) | (~v109(constB79)) | v172(constB79)) <=> ((~v109(constB79)) | v172(constB79) | v110(constB79))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27757,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB79) | (~v109(constB79)) | v172(constB79))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB79)) | v172(constB79) | v110(constB79)))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27756])).
% 136.26/86.94 tff(27758,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB79) | (~v109(constB79)) | v172(constB79))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB79)) | v172(constB79) | v110(constB79))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27757, 27755])).
% 136.26/86.94 tff(27759,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB79) | (~v109(constB79)) | v172(constB79))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27760,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB79)) | v172(constB79) | v110(constB79)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27759, 27758])).
% 136.26/86.94 tff(27761,plain,
% 136.26/86.94 ((~v109(constB79)) | v110(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27760, 2871, 27754])).
% 136.26/86.94 tff(27762,plain,
% 136.26/86.94 (v110(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27761, 27750])).
% 136.26/86.94 tff(27763,assumption,(v84(constB79, bitIndex2)), introduced(assumption)).
% 136.26/86.94 tff(27764,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB79, bitIndex2)) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB79, bitIndex2)) | (~v116(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27765,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB79, bitIndex2)) | (~v116(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27766,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB79, bitIndex2)) | (~v116(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27765, 27764])).
% 136.26/86.94 tff(27767,plain,
% 136.26/86.94 (~v116(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27766, 1130, 27763])).
% 136.26/86.94 tff(27768,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB79) | v116(constB79) | (~v110(constB79)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB79) | v116(constB79) | (~v110(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27769,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB79) | v116(constB79) | (~v110(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27770,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB79) | v116(constB79) | (~v110(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27769, 27768])).
% 136.26/86.94 tff(27771,plain,
% 136.26/86.94 ($false),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27770, 2932, 27767, 27762, 27732])).
% 136.26/86.94 tff(27772,plain,(v145(constB79) | (~v107(constB79)) | (~v84(constB79, bitIndex2)) | (~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.94 tff(27773,plain,
% 136.26/86.94 (v145(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27772, 27680, 27709, 27708, 27690])).
% 136.26/86.94 tff(27774,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB79)) | (~v84(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB79)) | (~v84(constB79, bitIndex2)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27775,plain,
% 136.26/86.94 (((~v84(constB79, bitIndex2)) | (~v145(constB79))) <=> ((~v145(constB79)) | (~v84(constB79, bitIndex2)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27776,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB79, bitIndex2)) | (~v145(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB79)) | (~v84(constB79, bitIndex2))))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27775])).
% 136.26/86.94 tff(27777,plain,
% 136.26/86.94 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB79, bitIndex2)) | (~v145(constB79)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB79)) | (~v84(constB79, bitIndex2)))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27776, 27774])).
% 136.26/86.94 tff(27778,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB79, bitIndex2)) | (~v145(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27779,plain,
% 136.26/86.94 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB79)) | (~v84(constB79, bitIndex2))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27778, 27777])).
% 136.26/86.94 tff(27780,plain,
% 136.26/86.94 ($false),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27779, 725, 27773, 27680])).
% 136.26/86.94 tff(27781,plain,(v94(constB78) | (~v107(constB79))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.94 tff(27782,plain,
% 136.26/86.94 (~v107(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27781, 27564])).
% 136.26/86.94 tff(27783,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB79) | (~v106(constB79)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB79) | (~v106(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27784,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB79) | (~v106(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27785,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB79) | (~v106(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27784, 27783])).
% 136.26/86.94 tff(27786,plain,
% 136.26/86.94 (~v106(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27785, 3161, 27782])).
% 136.26/86.94 tff(27787,assumption,(v26(constB79)), introduced(assumption)).
% 136.26/86.94 tff(27788,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27789,plain,
% 136.26/86.94 ($false),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27788, 1172, 27787])).
% 136.26/86.94 tff(27790,plain,(~v26(constB79)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.94 tff(27791,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB79)) | v26(constB79) | v106(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB79)) | v26(constB79) | v106(constB79))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27792,plain,
% 136.26/86.94 ((v26(constB79) | v106(constB79) | (~v102(constB79))) <=> ((~v102(constB79)) | v26(constB79) | v106(constB79))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27793,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB79) | v106(constB79) | (~v102(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB79)) | v26(constB79) | v106(constB79)))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27792])).
% 136.26/86.94 tff(27794,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB79) | v106(constB79) | (~v102(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB79)) | v26(constB79) | v106(constB79))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27793, 27791])).
% 136.26/86.94 tff(27795,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB79) | v106(constB79) | (~v102(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27796,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB79)) | v26(constB79) | v106(constB79)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27795, 27794])).
% 136.26/86.94 tff(27797,plain,
% 136.26/86.94 ((~v102(constB79)) | v106(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27796, 3146, 27790])).
% 136.26/86.94 tff(27798,plain,
% 136.26/86.94 (~v102(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27797, 27786])).
% 136.26/86.94 tff(27799,plain,
% 136.26/86.94 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27800,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_79_1')).
% 136.26/86.94 tff(27801,plain,
% 136.26/86.94 (nextState(constB79, constB80)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27800, 27799])).
% 136.26/86.94 tff(27802,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27803,plain,
% 136.26/86.94 (((~nextState(constB79, constB80)) | v102(constB79) | (~v104(constB80))) <=> ((~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27804,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | v102(constB79) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79)))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27803])).
% 136.26/86.94 tff(27805,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | v102(constB79) | (~v104(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27804, 27802])).
% 136.26/86.94 tff(27806,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB79, constB80)) | v102(constB79) | (~v104(constB80)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27807,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB79, constB80)) | (~v104(constB80)) | v102(constB79)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27806, 27805])).
% 136.26/86.94 tff(27808,plain,
% 136.26/86.94 ((~v104(constB80)) | v102(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27807, 3128, 27801])).
% 136.26/86.94 tff(27809,plain,
% 136.26/86.94 (~v104(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27808, 27798])).
% 136.26/86.94 tff(27810,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v94(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v94(constB80)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27811,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v94(constB80)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27812,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v94(constB80))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27811, 27810])).
% 136.26/86.94 tff(27813,plain,
% 136.26/86.94 (v104(constB80) | (~v94(constB80))),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27812, 3113, 27801])).
% 136.26/86.94 tff(27814,plain,
% 136.26/86.94 (~v94(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27813, 27809])).
% 136.26/86.94 tff(27815,assumption,(~v94(constB80)), introduced(assumption)).
% 136.26/86.94 tff(27816,assumption,(~v84(constB80, bitIndex1)), introduced(assumption)).
% 136.26/86.94 tff(27817,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27818,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27819,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB79) | (~nextState(constB79, constB80)) | (~v98(constB80))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27818, 27817])).
% 136.26/86.94 tff(27820,plain,
% 136.26/86.94 (~v98(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27819, 541, 27801, 27656])).
% 136.26/86.94 tff(27821,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27822,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB79, constB80)) | v96(constB80) | v98(constB80))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27823,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB79, constB80)) | v96(constB80) | v98(constB80)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27822, 27821])).
% 136.26/86.94 tff(27824,plain,
% 136.26/86.94 (v96(constB80) | v98(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27823, 555, 27801])).
% 136.26/86.94 tff(27825,plain,
% 136.26/86.94 (v96(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27824, 27820])).
% 136.26/86.94 tff(27826,plain,
% 136.26/86.94 (v1(constB80) <=> v1(constB80)),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27827,axiom,(v1(constB80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_80_1')).
% 136.26/86.94 tff(27828,plain,
% 136.26/86.94 (v1(constB80)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27827, 27826])).
% 136.26/86.94 tff(27829,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27830,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27831,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB79, constB80)) | v95(constB80) | (~v96(constB80)) | (~v1(constB80))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27830, 27829])).
% 136.26/86.94 tff(27832,plain,
% 136.26/86.94 (v95(constB80) | (~v96(constB80))),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27831, 573, 27801, 27828])).
% 136.26/86.94 tff(27833,plain,
% 136.26/86.94 (v95(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27832, 27825])).
% 136.26/86.94 tff(27834,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27835,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27836,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB79, constB80)) | (~v95(constB80)) | (~v104(constB80)) | v94(constB80)),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27835, 27834])).
% 136.26/86.94 tff(27837,plain,
% 136.26/86.94 ((~v95(constB80)) | (~v104(constB80)) | v94(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27836, 588, 27801])).
% 136.26/86.94 tff(27838,plain,
% 136.26/86.94 ((~v104(constB80)) | v94(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27837, 27833])).
% 136.26/86.94 tff(27839,plain,
% 136.26/86.94 (~v104(constB80)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27838, 27815])).
% 136.26/86.94 tff(27840,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27841,plain,
% 136.26/86.94 (((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80)) <=> ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27842,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27841])).
% 136.26/86.94 tff(27843,plain,
% 136.26/86.94 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79)))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27842, 27840])).
% 136.26/86.94 tff(27844,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB79, constB80)) | (~v102(constB79)) | v104(constB80))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27845,plain,
% 136.26/86.94 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB79, constB80)) | v104(constB80) | (~v102(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27844, 27843])).
% 136.26/86.94 tff(27846,plain,
% 136.26/86.94 (v104(constB80) | (~v102(constB79))),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27845, 604, 27801])).
% 136.26/86.94 tff(27847,plain,
% 136.26/86.94 (~v102(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27846, 27839])).
% 136.26/86.94 tff(27848,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB79) | (~v106(constB79)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB79) | (~v106(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27849,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB79) | (~v106(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27850,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB79) | (~v106(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27849, 27848])).
% 136.26/86.94 tff(27851,plain,
% 136.26/86.94 (~v106(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27850, 619, 27847])).
% 136.26/86.94 tff(27852,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | v106(constB79) | (~v107(constB79)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27853,plain,
% 136.26/86.94 ((v26(constB79) | (~v107(constB79)) | v106(constB79)) <=> (v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27854,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | v106(constB79) | (~v107(constB79))))),
% 136.26/86.94 inference(monotonicity,[status(thm)],[27853])).
% 136.26/86.94 tff(27855,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79)))),
% 136.26/86.94 inference(transitivity,[status(thm)],[27854, 27852])).
% 136.26/86.94 tff(27856,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB79) | (~v107(constB79)) | v106(constB79))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27857,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB79) | v106(constB79) | (~v107(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27856, 27855])).
% 136.26/86.94 tff(27858,plain,
% 136.26/86.94 (v106(constB79) | (~v107(constB79))),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27857, 644, 27790])).
% 136.26/86.94 tff(27859,plain,
% 136.26/86.94 (~v107(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27858, 27851])).
% 136.26/86.94 tff(27860,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB79) | (~v108(constB79)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB79) | (~v108(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27861,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB79) | (~v108(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27862,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB79) | (~v108(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27861, 27860])).
% 136.26/86.94 tff(27863,plain,
% 136.26/86.94 (~v108(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27862, 658, 27859])).
% 136.26/86.94 tff(27864,assumption,(~v108(constB79)), introduced(assumption)).
% 136.26/86.94 tff(27865,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB79) | (~v109(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB79) | (~v109(constB79)))),
% 136.26/86.94 inference(rewrite,[status(thm)],[])).
% 136.26/86.94 tff(27866,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB79) | (~v109(constB79)))),
% 136.26/86.94 inference(quant_inst,[status(thm)],[])).
% 136.26/86.94 tff(27867,plain,
% 136.26/86.94 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB79) | (~v109(constB79))),
% 136.26/86.94 inference(modus_ponens,[status(thm)],[27866, 27865])).
% 136.26/86.94 tff(27868,plain,
% 136.26/86.94 (~v109(constB79)),
% 136.26/86.94 inference(unit_resolution,[status(thm)],[27867, 669, 27864])).
% 136.26/86.94 tff(27869,plain,
% 136.26/86.94 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB79) | (~v172(constB79)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB79) | (~v172(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27870,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB79) | (~v172(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27871,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB79) | (~v172(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27870, 27869])).
% 136.26/86.95 tff(27872,plain,
% 136.26/86.95 (~v172(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27871, 1033, 27868])).
% 136.26/86.95 tff(27873,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB79) | (~v110(constB79)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB79) | (~v110(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27874,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB79) | (~v110(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27875,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB79) | (~v110(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27874, 27873])).
% 136.26/86.95 tff(27876,plain,
% 136.26/86.95 (~v110(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27875, 680, 27868])).
% 136.26/86.95 tff(27877,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB79) | (~v111(constB79)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB79) | (~v111(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27878,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB79) | (~v111(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27879,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB79) | (~v111(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27878, 27877])).
% 136.26/86.95 tff(27880,plain,
% 136.26/86.95 (~v111(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27879, 691, 27876])).
% 136.26/86.95 tff(27881,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB79) | (~v112(constB79)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB79) | (~v112(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27882,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB79) | (~v112(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27883,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB79) | (~v112(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27882, 27881])).
% 136.26/86.95 tff(27884,plain,
% 136.26/86.95 (~v112(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27883, 702, 27880])).
% 136.26/86.95 tff(27885,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB79) | (~v113(constB79)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB79) | (~v113(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27886,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB79) | (~v113(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27887,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB79) | (~v113(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27886, 27885])).
% 136.26/86.95 tff(27888,plain,
% 136.26/86.95 (~v113(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27887, 969, 27884])).
% 136.26/86.95 tff(27889,assumption,(~v113(constB79)), introduced(assumption)).
% 136.26/86.95 tff(27890,assumption,(~v172(constB79)), introduced(assumption)).
% 136.26/86.95 tff(27891,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27892,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27893,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v172(constB79)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27892, 27891])).
% 136.26/86.95 tff(27894,plain,
% 136.26/86.95 (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex2)) | v172(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27893, 1047, 27681])).
% 136.26/86.95 tff(27895,plain,
% 136.26/86.95 (~v84(constB79, bitIndex2)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27894, 27698, 27890])).
% 136.26/86.95 tff(27896,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27897,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27898,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27897, 27896])).
% 136.26/86.95 tff(27899,plain,
% 136.26/86.95 (v113(constB79) | v84(constB79, bitIndex0) | v84(constB79, bitIndex2)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27898, 983, 27681])).
% 136.26/86.95 tff(27900,plain,
% 136.26/86.95 ($false),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27899, 27895, 27698, 27889])).
% 136.26/86.95 tff(27901,plain,(v84(constB79, bitIndex0) | v113(constB79) | v84(constB79, bitIndex1) | v172(constB79)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.95 tff(27902,plain,
% 136.26/86.95 (v84(constB79, bitIndex0)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27901, 27888, 27681, 27872])).
% 136.26/86.95 tff(27903,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB79) | (~v145(constB79)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB79) | (~v145(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27904,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB79) | (~v145(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27905,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB79) | (~v145(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27904, 27903])).
% 136.26/86.95 tff(27906,plain,
% 136.26/86.95 (~v145(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27905, 713, 27884])).
% 136.26/86.95 tff(27907,plain,
% 136.26/86.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB79) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB79) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27908,plain,
% 136.26/86.95 (((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2) | v145(constB79)) <=> (v145(constB79) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27909,plain,
% 136.26/86.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2) | v145(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB79) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2)))),
% 136.26/86.95 inference(monotonicity,[status(thm)],[27908])).
% 136.26/86.95 tff(27910,plain,
% 136.26/86.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2) | v145(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB79) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2))),
% 136.26/86.95 inference(transitivity,[status(thm)],[27909, 27907])).
% 136.26/86.95 tff(27911,plain,
% 136.26/86.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2) | v145(constB79))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27912,plain,
% 136.26/86.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB79) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | v84(constB79, bitIndex2)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27911, 27910])).
% 136.26/86.95 tff(27913,plain,
% 136.26/86.95 (v145(constB79) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex2)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27912, 865, 27681])).
% 136.26/86.95 tff(27914,plain,
% 136.26/86.95 (v84(constB79, bitIndex2)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27913, 27902, 27906])).
% 136.26/86.95 tff(27915,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB79) | (~v118(constB79)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB79) | (~v118(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27916,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB79) | (~v118(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27917,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB79) | (~v118(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27916, 27915])).
% 136.26/86.95 tff(27918,plain,
% 136.26/86.95 (~v118(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27917, 1004, 27864])).
% 136.26/86.95 tff(27919,plain,
% 136.26/86.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v118(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v118(constB79))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27920,plain,
% 136.26/86.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v118(constB79))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27921,plain,
% 136.26/86.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex1) | (~v84(constB79, bitIndex2)) | v118(constB79)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27920, 27919])).
% 136.26/86.95 tff(27922,plain,
% 136.26/86.95 ((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex2))),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27921, 1018, 27681, 27918])).
% 136.26/86.95 tff(27923,plain,
% 136.26/86.95 ($false),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27922, 27914, 27902])).
% 136.26/86.95 tff(27924,plain,(v108(constB79) | v84(constB79, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.95 tff(27925,plain,
% 136.26/86.95 (v84(constB79, bitIndex1)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27924, 27863])).
% 136.26/86.95 tff(27926,plain,
% 136.26/86.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex1)) | v84(constB80, bitIndex1) | (~v84(constB79, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex1)) | v84(constB80, bitIndex1) | (~v84(constB79, bitIndex1)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27927,plain,
% 136.26/86.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex1)) | v84(constB80, bitIndex1) | (~v84(constB79, bitIndex1)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27928,plain,
% 136.26/86.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex1)) | v84(constB80, bitIndex1) | (~v84(constB79, bitIndex1))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27927, 27926])).
% 136.26/86.95 tff(27929,plain,
% 136.26/86.95 ($false),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27928, 777, 823, 27801, 27815, 27925, 27816])).
% 136.26/86.95 tff(27930,plain,(v94(constB80) | v84(constB80, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.95 tff(27931,plain,
% 136.26/86.95 (v84(constB80, bitIndex1)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27930, 27815])).
% 136.26/86.95 tff(27932,assumption,(v84(constB80, bitIndex1)), introduced(assumption)).
% 136.26/86.95 tff(27933,assumption,(~v84(constB81, bitIndex1)), introduced(assumption)).
% 136.26/86.95 tff(27934,plain,
% 136.26/86.95 ((~v1(constB81)) <=> (~v1(constB81))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27935,axiom,(~v1(constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_81_1_1')).
% 136.26/86.95 tff(27936,plain,
% 136.26/86.95 (~v1(constB81)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27935, 27934])).
% 136.26/86.95 tff(27937,plain,
% 136.26/86.95 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27938,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_80_1')).
% 136.26/86.95 tff(27939,plain,
% 136.26/86.95 (nextState(constB80, constB81)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27938, 27937])).
% 136.26/86.95 tff(27940,plain,
% 136.26/86.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27941,plain,
% 136.26/86.95 (((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81)) <=> (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27942,plain,
% 136.26/86.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))))),
% 136.26/86.95 inference(monotonicity,[status(thm)],[27941])).
% 136.26/86.95 tff(27943,plain,
% 136.26/86.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81)))),
% 136.26/86.95 inference(transitivity,[status(thm)],[27942, 27940])).
% 136.26/86.95 tff(27944,plain,
% 136.26/86.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB80, constB81)) | (~v95(constB81)) | v1(constB81))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27945,plain,
% 136.26/86.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB81) | (~nextState(constB80, constB81)) | (~v95(constB81))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27944, 27943])).
% 136.26/86.95 tff(27946,plain,
% 136.26/86.95 (~v95(constB81)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27945, 742, 27939, 27936])).
% 136.26/86.95 tff(27947,plain,
% 136.26/86.95 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27948,plain,
% 136.26/86.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27949,plain,
% 136.26/86.95 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB80, constB81)) | v95(constB81) | (~v94(constB81))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27948, 27947])).
% 136.26/86.95 tff(27950,plain,
% 136.26/86.95 (v95(constB81) | (~v94(constB81))),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27949, 759, 27939])).
% 136.26/86.95 tff(27951,plain,
% 136.26/86.95 (~v94(constB81)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27950, 27946])).
% 136.26/86.95 tff(27952,plain,
% 136.26/86.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | (~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | (~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27953,plain,
% 136.26/86.95 (((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB80, bitIndex1))) <=> ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | (~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27954,plain,
% 136.26/86.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB80, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | (~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1)))),
% 136.26/86.95 inference(monotonicity,[status(thm)],[27953])).
% 136.26/86.95 tff(27955,plain,
% 136.26/86.95 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB80, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | (~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1))),
% 136.26/86.95 inference(transitivity,[status(thm)],[27954, 27952])).
% 136.26/86.95 tff(27956,plain,
% 136.26/86.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB80, bitIndex1)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27957,plain,
% 136.26/86.95 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex1)) | (~v84(constB80, bitIndex1)) | v84(constB81, bitIndex1)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27956, 27955])).
% 136.26/86.95 tff(27958,plain,
% 136.26/86.95 ($false),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27957, 777, 823, 27939, 27951, 27933, 27932])).
% 136.26/86.95 tff(27959,plain,(v84(constB81, bitIndex1) | (~v84(constB80, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.95 tff(27960,plain,
% 136.26/86.95 (v84(constB81, bitIndex1)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27959, 27931])).
% 136.26/86.95 tff(27961,plain,
% 136.26/86.95 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB81)) | (~v84(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB81)) | (~v84(constB81, bitIndex1)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27962,plain,
% 136.26/86.95 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB81)) | (~v84(constB81, bitIndex1)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27963,plain,
% 136.26/86.95 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB81)) | (~v84(constB81, bitIndex1))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27962, 27961])).
% 136.26/86.95 tff(27964,plain,
% 136.26/86.95 (~v113(constB81)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27963, 1465, 27960])).
% 136.26/86.95 tff(27965,plain,
% 136.26/86.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB81)) | (~v84(constB81, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB81)) | (~v84(constB81, bitIndex1)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27966,plain,
% 136.26/86.95 (((~v84(constB81, bitIndex1)) | (~v145(constB81))) <=> ((~v145(constB81)) | (~v84(constB81, bitIndex1)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27967,plain,
% 136.26/86.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB81)) | (~v84(constB81, bitIndex1))))),
% 136.26/86.95 inference(monotonicity,[status(thm)],[27966])).
% 136.26/86.95 tff(27968,plain,
% 136.26/86.95 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB81)) | (~v84(constB81, bitIndex1)))),
% 136.26/86.95 inference(transitivity,[status(thm)],[27967, 27965])).
% 136.26/86.95 tff(27969,plain,
% 136.26/86.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v145(constB81)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27970,plain,
% 136.26/86.95 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB81)) | (~v84(constB81, bitIndex1))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27969, 27968])).
% 136.26/86.95 tff(27971,plain,
% 136.26/86.95 (~v145(constB81)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27970, 816, 27960])).
% 136.26/86.95 tff(27972,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB81) | (~v112(constB81)) | v113(constB81))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB81) | (~v112(constB81)) | v113(constB81))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27973,plain,
% 136.26/86.95 ((v113(constB81) | (~v112(constB81)) | v145(constB81)) <=> (v145(constB81) | (~v112(constB81)) | v113(constB81))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27974,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB81) | (~v112(constB81)) | v145(constB81))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB81) | (~v112(constB81)) | v113(constB81)))),
% 136.26/86.95 inference(monotonicity,[status(thm)],[27973])).
% 136.26/86.95 tff(27975,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB81) | (~v112(constB81)) | v145(constB81))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB81) | (~v112(constB81)) | v113(constB81))),
% 136.26/86.95 inference(transitivity,[status(thm)],[27974, 27972])).
% 136.26/86.95 tff(27976,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB81) | (~v112(constB81)) | v145(constB81))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27977,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB81) | (~v112(constB81)) | v113(constB81)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27976, 27975])).
% 136.26/86.95 tff(27978,plain,
% 136.26/86.95 (~v112(constB81)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27977, 2894, 27971, 27964])).
% 136.26/86.95 tff(27979,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB79) | (~v119(constB79)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB79) | (~v119(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27980,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB79) | (~v119(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27981,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB79) | (~v119(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27980, 27979])).
% 136.26/86.95 tff(27982,plain,
% 136.26/86.95 (~v119(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27981, 1927, 27859])).
% 136.26/86.95 tff(27983,plain,
% 136.26/86.95 (~v109(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27867, 669, 27863])).
% 136.26/86.95 tff(27984,plain,
% 136.26/86.95 (~v110(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27875, 680, 27983])).
% 136.26/86.95 tff(27985,plain,
% 136.26/86.95 (~v111(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27879, 691, 27984])).
% 136.26/86.95 tff(27986,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB79) | (~v115(constB79)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB79) | (~v115(constB79)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27987,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB79) | (~v115(constB79)))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27988,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB79) | (~v115(constB79))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27987, 27986])).
% 136.26/86.95 tff(27989,plain,
% 136.26/86.95 (~v115(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27988, 945, 27985])).
% 136.26/86.95 tff(27990,assumption,(~v115(constB79)), introduced(assumption)).
% 136.26/86.95 tff(27991,assumption,(~v119(constB79)), introduced(assumption)).
% 136.26/86.95 tff(27992,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB79, bitIndex0) | v119(constB79) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB79, bitIndex0) | v119(constB79) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27993,plain,
% 136.26/86.95 ((v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)) | v119(constB79)) <=> (v84(constB79, bitIndex0) | v119(constB79) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(27994,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)) | v119(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB79, bitIndex0) | v119(constB79) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2))))),
% 136.26/86.95 inference(monotonicity,[status(thm)],[27993])).
% 136.26/86.95 tff(27995,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)) | v119(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB79, bitIndex0) | v119(constB79) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)))),
% 136.26/86.95 inference(transitivity,[status(thm)],[27994, 27992])).
% 136.26/86.95 tff(27996,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2)) | v119(constB79))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(27997,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB79, bitIndex0) | v119(constB79) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex2))),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[27996, 27995])).
% 136.26/86.95 tff(27998,plain,
% 136.26/86.95 (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex2))),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27997, 1910, 27710, 27991])).
% 136.26/86.95 tff(27999,plain,
% 136.26/86.95 (~v84(constB79, bitIndex2)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[27998, 27698])).
% 136.26/86.95 tff(28000,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v115(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v115(constB79))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(28001,plain,
% 136.26/86.95 ((v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79)) <=> (v84(constB79, bitIndex0) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v115(constB79))),
% 136.26/86.95 inference(rewrite,[status(thm)],[])).
% 136.26/86.95 tff(28002,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v115(constB79)))),
% 136.26/86.95 inference(monotonicity,[status(thm)],[28001])).
% 136.26/86.95 tff(28003,plain,
% 136.26/86.95 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v115(constB79))),
% 136.26/86.95 inference(transitivity,[status(thm)],[28002, 28000])).
% 136.26/86.95 tff(28004,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB79, bitIndex0) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v115(constB79))),
% 136.26/86.95 inference(quant_inst,[status(thm)],[])).
% 136.26/86.95 tff(28005,plain,
% 136.26/86.95 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB79, bitIndex0) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v115(constB79)),
% 136.26/86.95 inference(modus_ponens,[status(thm)],[28004, 28003])).
% 136.26/86.95 tff(28006,plain,
% 136.26/86.95 (v84(constB79, bitIndex0) | v84(constB79, bitIndex2) | v115(constB79)),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[28005, 1095, 27710])).
% 136.26/86.95 tff(28007,plain,
% 136.26/86.95 ($false),
% 136.26/86.95 inference(unit_resolution,[status(thm)],[28006, 27999, 27698, 27990])).
% 136.26/86.95 tff(28008,plain,(v84(constB79, bitIndex0) | v115(constB79) | (~v84(constB79, bitIndex1)) | v119(constB79)), inference(lemma,lemma(discharge,[]))).
% 136.26/86.96 tff(28009,plain,
% 136.26/86.96 (v84(constB79, bitIndex0)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28008, 27989, 27925, 27982])).
% 136.26/86.96 tff(28010,assumption,(~v84(constB80, bitIndex0)), introduced(assumption)).
% 136.26/86.96 tff(28011,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex0)) | v84(constB80, bitIndex0) | (~v84(constB79, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex0)) | v84(constB80, bitIndex0) | (~v84(constB79, bitIndex0)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28012,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex0)) | v84(constB80, bitIndex0) | (~v84(constB79, bitIndex0)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28013,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex0)) | v84(constB80, bitIndex0) | (~v84(constB79, bitIndex0))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28012, 28011])).
% 136.26/86.96 tff(28014,plain,
% 136.26/86.96 ($false),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28013, 777, 795, 27801, 27815, 28010, 27724])).
% 136.26/86.96 tff(28015,plain,(v84(constB80, bitIndex0) | v94(constB80) | (~v84(constB79, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.96 tff(28016,plain,
% 136.26/86.96 (v84(constB80, bitIndex0)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28015, 28009, 27815])).
% 136.26/86.96 tff(28017,assumption,(v84(constB80, bitIndex0)), introduced(assumption)).
% 136.26/86.96 tff(28018,assumption,(~v84(constB81, bitIndex0)), introduced(assumption)).
% 136.26/86.96 tff(28019,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | (~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | (~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28020,plain,
% 136.26/86.96 (((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB80, bitIndex0))) <=> ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | (~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28021,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB80, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | (~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0)))),
% 136.26/86.96 inference(monotonicity,[status(thm)],[28020])).
% 136.26/86.96 tff(28022,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB80, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | (~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0))),
% 136.26/86.96 inference(transitivity,[status(thm)],[28021, 28019])).
% 136.26/86.96 tff(28023,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB80, bitIndex0)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28024,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex0)) | (~v84(constB80, bitIndex0)) | v84(constB81, bitIndex0)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28023, 28022])).
% 136.26/86.96 tff(28025,plain,
% 136.26/86.96 ($false),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28024, 777, 795, 27939, 27951, 28018, 28017])).
% 136.26/86.96 tff(28026,plain,(v84(constB81, bitIndex0) | (~v84(constB80, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.96 tff(28027,plain,
% 136.26/86.96 (v84(constB81, bitIndex0)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28026, 28016])).
% 136.26/86.96 tff(28028,plain,
% 136.26/86.96 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB81, bitIndex0)) | (~v115(constB81)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28029,plain,
% 136.26/86.96 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v115(constB81)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28030,plain,
% 136.26/86.96 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB81, bitIndex0)) | (~v115(constB81))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28029, 28028])).
% 136.26/86.96 tff(28031,plain,
% 136.26/86.96 (~v115(constB81)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28030, 3011, 28027])).
% 136.26/86.96 tff(28032,plain,
% 136.26/86.96 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB81) | v115(constB81) | (~v111(constB81)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB81) | v115(constB81) | (~v111(constB81)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28033,plain,
% 136.26/86.96 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB81) | v115(constB81) | (~v111(constB81)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28034,plain,
% 136.26/86.96 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB81) | v115(constB81) | (~v111(constB81))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28033, 28032])).
% 136.26/86.96 tff(28035,plain,
% 136.26/86.96 (~v111(constB81)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28034, 2911, 28031, 27978])).
% 136.26/86.96 tff(28036,assumption,(v107(constB83)), introduced(assumption)).
% 136.26/86.96 tff(28037,assumption,(v84(constB81, bitIndex1)), introduced(assumption)).
% 136.26/86.96 tff(28038,assumption,(~v94(constB82)), introduced(assumption)).
% 136.26/86.96 tff(28039,assumption,(~v84(constB82, bitIndex1)), introduced(assumption)).
% 136.26/86.96 tff(28040,plain,
% 136.26/86.96 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28041,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_81_1')).
% 136.26/86.96 tff(28042,plain,
% 136.26/86.96 (nextState(constB81, constB82)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28041, 28040])).
% 136.26/86.96 tff(28043,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB81, bitIndex1)) | v84(constB82, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB81, bitIndex1)) | v84(constB82, bitIndex1))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28044,plain,
% 136.26/86.96 (((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB82, bitIndex1) | (~v84(constB81, bitIndex1))) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB81, bitIndex1)) | v84(constB82, bitIndex1))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28045,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB82, bitIndex1) | (~v84(constB81, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB81, bitIndex1)) | v84(constB82, bitIndex1)))),
% 136.26/86.96 inference(monotonicity,[status(thm)],[28044])).
% 136.26/86.96 tff(28046,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB82, bitIndex1) | (~v84(constB81, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB81, bitIndex1)) | v84(constB82, bitIndex1))),
% 136.26/86.96 inference(transitivity,[status(thm)],[28045, 28043])).
% 136.26/86.96 tff(28047,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB82, bitIndex1) | (~v84(constB81, bitIndex1)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28048,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB81, bitIndex1)) | v84(constB82, bitIndex1)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28047, 28046])).
% 136.26/86.96 tff(28049,plain,
% 136.26/86.96 ($false),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28048, 777, 823, 28042, 28038, 28039, 28037])).
% 136.26/86.96 tff(28050,plain,(v84(constB82, bitIndex1) | v94(constB82) | (~v84(constB81, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.96 tff(28051,plain,
% 136.26/86.96 (v84(constB82, bitIndex1)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28050, 28038, 28037])).
% 136.26/86.96 tff(28052,assumption,(v84(constB82, bitIndex1)), introduced(assumption)).
% 136.26/86.96 tff(28053,assumption,(~v84(constB83, bitIndex1)), introduced(assumption)).
% 136.26/86.96 tff(28054,plain,
% 136.26/86.96 ((~v1(constB83)) <=> (~v1(constB83))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28055,axiom,(~v1(constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_83_1_1')).
% 136.26/86.96 tff(28056,plain,
% 136.26/86.96 (~v1(constB83)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28055, 28054])).
% 136.26/86.96 tff(28057,plain,
% 136.26/86.96 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28058,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_82_1')).
% 136.26/86.96 tff(28059,plain,
% 136.26/86.96 (nextState(constB82, constB83)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28058, 28057])).
% 136.26/86.96 tff(28060,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28061,plain,
% 136.26/86.96 (((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83)) <=> (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28062,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))))),
% 136.26/86.96 inference(monotonicity,[status(thm)],[28061])).
% 136.26/86.96 tff(28063,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83)))),
% 136.26/86.96 inference(transitivity,[status(thm)],[28062, 28060])).
% 136.26/86.96 tff(28064,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB82, constB83)) | (~v95(constB83)) | v1(constB83))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28065,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB83) | (~nextState(constB82, constB83)) | (~v95(constB83))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28064, 28063])).
% 136.26/86.96 tff(28066,plain,
% 136.26/86.96 (~v95(constB83)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28065, 742, 28059, 28056])).
% 136.26/86.96 tff(28067,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28068,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28069,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB82, constB83)) | v95(constB83) | (~v94(constB83))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28068, 28067])).
% 136.26/86.96 tff(28070,plain,
% 136.26/86.96 (v95(constB83) | (~v94(constB83))),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28069, 759, 28059])).
% 136.26/86.96 tff(28071,plain,
% 136.26/86.96 (~v94(constB83)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28070, 28066])).
% 136.26/86.96 tff(28072,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB82, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB82, bitIndex1)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28073,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB82, bitIndex1)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28074,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB82, bitIndex1))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28073, 28072])).
% 136.26/86.96 tff(28075,plain,
% 136.26/86.96 ($false),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28074, 777, 823, 28059, 28071, 28053, 28052])).
% 136.26/86.96 tff(28076,plain,(v84(constB83, bitIndex1) | (~v84(constB82, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.26/86.96 tff(28077,plain,
% 136.26/86.96 (v84(constB83, bitIndex1)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28076, 28051])).
% 136.26/86.96 tff(28078,plain,
% 136.26/86.96 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB83)) | (~v84(constB83, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB83)) | (~v84(constB83, bitIndex1)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28079,plain,
% 136.26/86.96 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB83)) | (~v84(constB83, bitIndex1)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28080,plain,
% 136.26/86.96 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB83)) | (~v84(constB83, bitIndex1))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28079, 28078])).
% 136.26/86.96 tff(28081,plain,
% 136.26/86.96 (~v113(constB83)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28080, 1465, 28077])).
% 136.26/86.96 tff(28082,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB82, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB82, bitIndex1)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28083,plain,
% 136.26/86.96 (((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB82, bitIndex1)) | v84(constB81, bitIndex1)) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB82, bitIndex1)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28084,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB82, bitIndex1)) | v84(constB81, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB82, bitIndex1))))),
% 136.26/86.96 inference(monotonicity,[status(thm)],[28083])).
% 136.26/86.96 tff(28085,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB82, bitIndex1)) | v84(constB81, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB82, bitIndex1)))),
% 136.26/86.96 inference(transitivity,[status(thm)],[28084, 28082])).
% 136.26/86.96 tff(28086,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | (~v84(constB82, bitIndex1)) | v84(constB81, bitIndex1))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28087,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex1)) | v84(constB81, bitIndex1) | (~v84(constB82, bitIndex1))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28086, 28085])).
% 136.26/86.96 tff(28088,plain,
% 136.26/86.96 (v84(constB81, bitIndex1)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28087, 805, 823, 28042, 28038, 28052])).
% 136.26/86.96 tff(28089,assumption,(~v84(constB83, bitIndex2)), introduced(assumption)).
% 136.26/86.96 tff(28090,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB82, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB82, bitIndex2)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28091,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB82, bitIndex2)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28092,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB82, bitIndex2))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28091, 28090])).
% 136.26/86.96 tff(28093,plain,
% 136.26/86.96 (~v84(constB82, bitIndex2)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28092, 777, 767, 28059, 28071, 28089])).
% 136.26/86.96 tff(28094,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB81, bitIndex2)) | v84(constB82, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB81, bitIndex2)) | v84(constB82, bitIndex2))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28095,plain,
% 136.26/86.96 (((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB82, bitIndex2) | (~v84(constB81, bitIndex2))) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB81, bitIndex2)) | v84(constB82, bitIndex2))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28096,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB82, bitIndex2) | (~v84(constB81, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB81, bitIndex2)) | v84(constB82, bitIndex2)))),
% 136.26/86.96 inference(monotonicity,[status(thm)],[28095])).
% 136.26/86.96 tff(28097,plain,
% 136.26/86.96 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB82, bitIndex2) | (~v84(constB81, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB81, bitIndex2)) | v84(constB82, bitIndex2))),
% 136.26/86.96 inference(transitivity,[status(thm)],[28096, 28094])).
% 136.26/86.96 tff(28098,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB82, bitIndex2) | (~v84(constB81, bitIndex2)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28099,plain,
% 136.26/86.96 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB81, bitIndex2)) | v84(constB82, bitIndex2)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28098, 28097])).
% 136.26/86.96 tff(28100,plain,
% 136.26/86.96 (~v84(constB81, bitIndex2)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28099, 777, 767, 28042, 28038, 28093])).
% 136.26/86.96 tff(28101,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28102,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28103,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB81) | (~nextState(constB81, constB82)) | (~v98(constB82))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28102, 28101])).
% 136.26/86.96 tff(28104,plain,
% 136.26/86.96 (~v98(constB82)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28103, 541, 28042, 27936])).
% 136.26/86.96 tff(28105,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28106,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB81, constB82)) | v96(constB82) | v98(constB82))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28107,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB81, constB82)) | v96(constB82) | v98(constB82)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28106, 28105])).
% 136.26/86.96 tff(28108,plain,
% 136.26/86.96 (v96(constB82) | v98(constB82)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28107, 555, 28042])).
% 136.26/86.96 tff(28109,plain,
% 136.26/86.96 (v96(constB82)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28108, 28104])).
% 136.26/86.96 tff(28110,plain,
% 136.26/86.96 (v1(constB82) <=> v1(constB82)),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28111,axiom,(v1(constB82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_82_1')).
% 136.26/86.96 tff(28112,plain,
% 136.26/86.96 (v1(constB82)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28111, 28110])).
% 136.26/86.96 tff(28113,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28114,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82)))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28115,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB81, constB82)) | v95(constB82) | (~v96(constB82)) | (~v1(constB82))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28114, 28113])).
% 136.26/86.96 tff(28116,plain,
% 136.26/86.96 (v95(constB82) | (~v96(constB82))),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28115, 573, 28042, 28112])).
% 136.26/86.96 tff(28117,plain,
% 136.26/86.96 (v95(constB82)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28116, 28109])).
% 136.26/86.96 tff(28118,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28119,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28120,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB81, constB82)) | (~v95(constB82)) | (~v104(constB82)) | v94(constB82)),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28119, 28118])).
% 136.26/86.96 tff(28121,plain,
% 136.26/86.96 ((~v95(constB82)) | (~v104(constB82)) | v94(constB82)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28120, 588, 28042])).
% 136.26/86.96 tff(28122,plain,
% 136.26/86.96 ((~v104(constB82)) | v94(constB82)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28121, 28117])).
% 136.26/86.96 tff(28123,plain,
% 136.26/86.96 (~v104(constB82)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28122, 28038])).
% 136.26/86.96 tff(28124,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28125,plain,
% 136.26/86.96 (((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82)) <=> ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.96 tff(28126,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))))),
% 136.26/86.96 inference(monotonicity,[status(thm)],[28125])).
% 136.26/86.96 tff(28127,plain,
% 136.26/86.96 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81)))),
% 136.26/86.96 inference(transitivity,[status(thm)],[28126, 28124])).
% 136.26/86.96 tff(28128,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB81, constB82)) | (~v102(constB81)) | v104(constB82))),
% 136.26/86.96 inference(quant_inst,[status(thm)],[])).
% 136.26/86.96 tff(28129,plain,
% 136.26/86.96 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v102(constB81))),
% 136.26/86.96 inference(modus_ponens,[status(thm)],[28128, 28127])).
% 136.26/86.96 tff(28130,plain,
% 136.26/86.96 (v104(constB82) | (~v102(constB81))),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28129, 604, 28042])).
% 136.26/86.96 tff(28131,plain,
% 136.26/86.96 (~v102(constB81)),
% 136.26/86.96 inference(unit_resolution,[status(thm)],[28130, 28123])).
% 136.26/86.96 tff(28132,plain,
% 136.26/86.96 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB81) | (~v106(constB81)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB81) | (~v106(constB81)))),
% 136.26/86.96 inference(rewrite,[status(thm)],[])).
% 136.26/86.97 tff(28133,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB81) | (~v106(constB81)))),
% 136.26/86.97 inference(quant_inst,[status(thm)],[])).
% 136.26/86.97 tff(28134,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB81) | (~v106(constB81))),
% 136.26/86.97 inference(modus_ponens,[status(thm)],[28133, 28132])).
% 136.26/86.97 tff(28135,plain,
% 136.26/86.97 (~v106(constB81)),
% 136.26/86.97 inference(unit_resolution,[status(thm)],[28134, 619, 28131])).
% 136.26/86.97 tff(28136,plain,
% 136.26/86.97 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB81) | (~v26(constB81)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB81) | (~v26(constB81)))),
% 136.26/86.97 inference(rewrite,[status(thm)],[])).
% 136.26/86.97 tff(28137,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB81) | (~v26(constB81)))),
% 136.26/86.97 inference(quant_inst,[status(thm)],[])).
% 136.26/86.97 tff(28138,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB81) | (~v26(constB81))),
% 136.26/86.97 inference(modus_ponens,[status(thm)],[28137, 28136])).
% 136.26/86.97 tff(28139,plain,
% 136.26/86.97 (~v26(constB81)),
% 136.26/86.97 inference(unit_resolution,[status(thm)],[28138, 630, 28131])).
% 136.26/86.97 tff(28140,plain,
% 136.26/86.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 136.26/86.97 inference(rewrite,[status(thm)],[])).
% 136.26/86.97 tff(28141,plain,
% 136.26/86.97 ((v26(constB81) | (~v107(constB81)) | v106(constB81)) <=> (v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 136.26/86.97 inference(rewrite,[status(thm)],[])).
% 136.26/86.97 tff(28142,plain,
% 136.26/86.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | v106(constB81) | (~v107(constB81))))),
% 136.26/86.97 inference(monotonicity,[status(thm)],[28141])).
% 136.26/86.97 tff(28143,plain,
% 136.26/86.97 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81)))),
% 136.26/86.97 inference(transitivity,[status(thm)],[28142, 28140])).
% 136.26/86.97 tff(28144,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB81) | (~v107(constB81)) | v106(constB81))),
% 136.26/86.97 inference(quant_inst,[status(thm)],[])).
% 136.26/86.97 tff(28145,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB81) | v106(constB81) | (~v107(constB81))),
% 136.26/86.97 inference(modus_ponens,[status(thm)],[28144, 28143])).
% 136.26/86.97 tff(28146,plain,
% 136.26/86.97 (~v107(constB81)),
% 136.26/86.97 inference(unit_resolution,[status(thm)],[28145, 644, 28139, 28135])).
% 136.26/86.97 tff(28147,plain,
% 136.26/86.97 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB81) | (~v108(constB81)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB81) | (~v108(constB81)))),
% 136.26/86.97 inference(rewrite,[status(thm)],[])).
% 136.26/86.97 tff(28148,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB81) | (~v108(constB81)))),
% 136.26/86.97 inference(quant_inst,[status(thm)],[])).
% 136.26/86.97 tff(28149,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB81) | (~v108(constB81))),
% 136.26/86.97 inference(modus_ponens,[status(thm)],[28148, 28147])).
% 136.26/86.97 tff(28150,plain,
% 136.26/86.97 (~v108(constB81)),
% 136.26/86.97 inference(unit_resolution,[status(thm)],[28149, 658, 28146])).
% 136.26/86.97 tff(28151,plain,
% 136.26/86.97 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB81) | (~v109(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB81) | (~v109(constB81)))),
% 136.26/86.97 inference(rewrite,[status(thm)],[])).
% 136.26/86.97 tff(28152,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB81) | (~v109(constB81)))),
% 136.26/86.97 inference(quant_inst,[status(thm)],[])).
% 136.26/86.97 tff(28153,plain,
% 136.26/86.97 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB81) | (~v109(constB81))),
% 136.26/86.97 inference(modus_ponens,[status(thm)],[28152, 28151])).
% 136.33/86.97 tff(28154,plain,
% 136.33/86.97 (~v109(constB81)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28153, 669, 28150])).
% 136.33/86.97 tff(28155,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB81) | (~v110(constB81)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB81) | (~v110(constB81)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28156,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB81) | (~v110(constB81)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28157,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB81) | (~v110(constB81))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28156, 28155])).
% 136.33/86.97 tff(28158,plain,
% 136.33/86.97 (~v110(constB81)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28157, 680, 28154])).
% 136.33/86.97 tff(28159,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB81) | (~v116(constB81)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB81) | (~v116(constB81)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28160,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB81) | (~v116(constB81)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28161,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB81) | (~v116(constB81))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28160, 28159])).
% 136.33/86.97 tff(28162,plain,
% 136.33/86.97 (~v116(constB81)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28161, 934, 28158])).
% 136.33/86.97 tff(28163,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)) | v116(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)) | v116(constB81))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28164,plain,
% 136.33/86.97 (((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81)) <=> ((~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)) | v116(constB81))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28165,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)) | v116(constB81)))),
% 136.33/86.97 inference(monotonicity,[status(thm)],[28164])).
% 136.33/86.97 tff(28166,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)) | v116(constB81))),
% 136.33/86.97 inference(transitivity,[status(thm)],[28165, 28163])).
% 136.33/86.97 tff(28167,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB81, bitIndex0)) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v116(constB81))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28168,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)) | v116(constB81)),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28167, 28166])).
% 136.33/86.97 tff(28169,plain,
% 136.33/86.97 ((~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0))),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28168, 1076, 28162])).
% 136.33/86.97 tff(28170,plain,
% 136.33/86.97 (~v84(constB81, bitIndex0)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28169, 28100, 28088])).
% 136.33/86.97 tff(28171,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB81) | (~v111(constB81)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB81) | (~v111(constB81)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28172,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB81) | (~v111(constB81)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28173,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB81) | (~v111(constB81))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28172, 28171])).
% 136.33/86.97 tff(28174,plain,
% 136.33/86.97 (~v111(constB81)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28173, 691, 28158])).
% 136.33/86.97 tff(28175,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB81) | (~v115(constB81)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB81) | (~v115(constB81)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28176,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB81) | (~v115(constB81)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28177,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB81) | (~v115(constB81))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28176, 28175])).
% 136.33/86.97 tff(28178,plain,
% 136.33/86.97 (~v115(constB81)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28177, 945, 28174])).
% 136.33/86.97 tff(28179,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v115(constB81))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v115(constB81))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28180,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v115(constB81))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28181,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2) | v115(constB81)),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28180, 28179])).
% 136.33/86.97 tff(28182,plain,
% 136.33/86.97 (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28181, 1095, 28178])).
% 136.33/86.97 tff(28183,plain,
% 136.33/86.97 ($false),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28182, 28170, 28100, 28088])).
% 136.33/86.97 tff(28184,plain,((~v84(constB82, bitIndex1)) | v94(constB82) | v84(constB83, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.97 tff(28185,plain,
% 136.33/86.97 (v84(constB83, bitIndex2)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28184, 28051, 28038])).
% 136.33/86.97 tff(28186,assumption,(v84(constB83, bitIndex2)), introduced(assumption)).
% 136.33/86.97 tff(28187,assumption,(v145(constB83)), introduced(assumption)).
% 136.33/86.97 tff(28188,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB83)) | (~v84(constB83, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB83)) | (~v84(constB83, bitIndex2)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28189,plain,
% 136.33/86.97 (((~v84(constB83, bitIndex2)) | (~v145(constB83))) <=> ((~v145(constB83)) | (~v84(constB83, bitIndex2)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28190,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB83)) | (~v84(constB83, bitIndex2))))),
% 136.33/86.97 inference(monotonicity,[status(thm)],[28189])).
% 136.33/86.97 tff(28191,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB83)) | (~v84(constB83, bitIndex2)))),
% 136.33/86.97 inference(transitivity,[status(thm)],[28190, 28188])).
% 136.33/86.97 tff(28192,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v145(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28193,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB83)) | (~v84(constB83, bitIndex2))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28192, 28191])).
% 136.33/86.97 tff(28194,plain,
% 136.33/86.97 ($false),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28193, 725, 28187, 28186])).
% 136.33/86.97 tff(28195,plain,((~v145(constB83)) | (~v84(constB83, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.33/86.97 tff(28196,plain,
% 136.33/86.97 (~v145(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28195, 28185])).
% 136.33/86.97 tff(28197,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB83) | (~v112(constB83)) | v113(constB83))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB83) | (~v112(constB83)) | v113(constB83))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28198,plain,
% 136.33/86.97 ((v113(constB83) | (~v112(constB83)) | v145(constB83)) <=> (v145(constB83) | (~v112(constB83)) | v113(constB83))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28199,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB83) | (~v112(constB83)) | v145(constB83))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB83) | (~v112(constB83)) | v113(constB83)))),
% 136.33/86.97 inference(monotonicity,[status(thm)],[28198])).
% 136.33/86.97 tff(28200,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB83) | (~v112(constB83)) | v145(constB83))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB83) | (~v112(constB83)) | v113(constB83))),
% 136.33/86.97 inference(transitivity,[status(thm)],[28199, 28197])).
% 136.33/86.97 tff(28201,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB83) | (~v112(constB83)) | v145(constB83))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28202,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB83) | (~v112(constB83)) | v113(constB83)),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28201, 28200])).
% 136.33/86.97 tff(28203,plain,
% 136.33/86.97 ((~v112(constB83)) | v113(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28202, 2894, 28196])).
% 136.33/86.97 tff(28204,plain,
% 136.33/86.97 (~v112(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28203, 28081])).
% 136.33/86.97 tff(28205,assumption,(v84(constB81, bitIndex0)), introduced(assumption)).
% 136.33/86.97 tff(28206,assumption,(~v84(constB82, bitIndex0)), introduced(assumption)).
% 136.33/86.97 tff(28207,plain,
% 136.33/86.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB81, bitIndex0)) | v84(constB82, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB81, bitIndex0)) | v84(constB82, bitIndex0))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28208,plain,
% 136.33/86.97 (((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB82, bitIndex0) | (~v84(constB81, bitIndex0))) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB81, bitIndex0)) | v84(constB82, bitIndex0))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28209,plain,
% 136.33/86.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB82, bitIndex0) | (~v84(constB81, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB81, bitIndex0)) | v84(constB82, bitIndex0)))),
% 136.33/86.97 inference(monotonicity,[status(thm)],[28208])).
% 136.33/86.97 tff(28210,plain,
% 136.33/86.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB82, bitIndex0) | (~v84(constB81, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB81, bitIndex0)) | v84(constB82, bitIndex0))),
% 136.33/86.97 inference(transitivity,[status(thm)],[28209, 28207])).
% 136.33/86.97 tff(28211,plain,
% 136.33/86.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB82, bitIndex0) | (~v84(constB81, bitIndex0)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28212,plain,
% 136.33/86.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB81, bitIndex0)) | v84(constB82, bitIndex0)),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28211, 28210])).
% 136.33/86.97 tff(28213,plain,
% 136.33/86.97 ($false),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28212, 777, 795, 28042, 28038, 28206, 28205])).
% 136.33/86.97 tff(28214,plain,(v84(constB82, bitIndex0) | v94(constB82) | (~v84(constB81, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/86.97 tff(28215,plain,
% 136.33/86.97 (v84(constB82, bitIndex0)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28214, 28038, 28205])).
% 136.33/86.97 tff(28216,assumption,(v84(constB82, bitIndex0)), introduced(assumption)).
% 136.33/86.97 tff(28217,assumption,(~v84(constB83, bitIndex0)), introduced(assumption)).
% 136.33/86.97 tff(28218,plain,
% 136.33/86.97 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex0)) | v84(constB83, bitIndex0) | (~v84(constB82, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex0)) | v84(constB83, bitIndex0) | (~v84(constB82, bitIndex0)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28219,plain,
% 136.33/86.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex0)) | v84(constB83, bitIndex0) | (~v84(constB82, bitIndex0)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28220,plain,
% 136.33/86.97 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex0)) | v84(constB83, bitIndex0) | (~v84(constB82, bitIndex0))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28219, 28218])).
% 136.33/86.97 tff(28221,plain,
% 136.33/86.97 ($false),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28220, 777, 795, 28059, 28071, 28217, 28216])).
% 136.33/86.97 tff(28222,plain,(v84(constB83, bitIndex0) | (~v84(constB82, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/86.97 tff(28223,plain,
% 136.33/86.97 (v84(constB83, bitIndex0)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28222, 28215])).
% 136.33/86.97 tff(28224,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB83, bitIndex0)) | (~v115(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB83, bitIndex0)) | (~v115(constB83)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28225,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB83, bitIndex0)) | (~v115(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28226,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB83, bitIndex0)) | (~v115(constB83))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28225, 28224])).
% 136.33/86.97 tff(28227,plain,
% 136.33/86.97 (~v115(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28226, 3011, 28223])).
% 136.33/86.97 tff(28228,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB83) | v115(constB83) | (~v111(constB83)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB83) | v115(constB83) | (~v111(constB83)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28229,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB83) | v115(constB83) | (~v111(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28230,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB83) | v115(constB83) | (~v111(constB83))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28229, 28228])).
% 136.33/86.97 tff(28231,plain,
% 136.33/86.97 (~v111(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28230, 2911, 28227, 28204])).
% 136.33/86.97 tff(28232,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB83)) | (~v84(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB83)) | (~v84(constB83, bitIndex0)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28233,plain,
% 136.33/86.97 (((~v84(constB83, bitIndex0)) | (~v119(constB83))) <=> ((~v119(constB83)) | (~v84(constB83, bitIndex0)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28234,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB83, bitIndex0)) | (~v119(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB83)) | (~v84(constB83, bitIndex0))))),
% 136.33/86.97 inference(monotonicity,[status(thm)],[28233])).
% 136.33/86.97 tff(28235,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB83, bitIndex0)) | (~v119(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB83)) | (~v84(constB83, bitIndex0)))),
% 136.33/86.97 inference(transitivity,[status(thm)],[28234, 28232])).
% 136.33/86.97 tff(28236,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB83, bitIndex0)) | (~v119(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28237,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB83)) | (~v84(constB83, bitIndex0))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28236, 28235])).
% 136.33/86.97 tff(28238,plain,
% 136.33/86.97 (~v119(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28237, 3173, 28223])).
% 136.33/86.97 tff(28239,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB83) | v119(constB83) | (~v107(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB83) | v119(constB83) | (~v107(constB83)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28240,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB83) | v119(constB83) | (~v107(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28241,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB83) | v119(constB83) | (~v107(constB83))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28240, 28239])).
% 136.33/86.97 tff(28242,plain,
% 136.33/86.97 (v108(constB83) | v119(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28241, 3195, 28036])).
% 136.33/86.97 tff(28243,plain,
% 136.33/86.97 (v108(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28242, 28238])).
% 136.33/86.97 tff(28244,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB83, bitIndex1)) | (~v118(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB83, bitIndex1)) | (~v118(constB83)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28245,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB83, bitIndex1)) | (~v118(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28246,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB83, bitIndex1)) | (~v118(constB83))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28245, 28244])).
% 136.33/86.97 tff(28247,plain,
% 136.33/86.97 (~v118(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28246, 2842, 28077])).
% 136.33/86.97 tff(28248,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB83) | v118(constB83) | (~v108(constB83)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB83) | v118(constB83) | (~v108(constB83)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28249,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB83) | v118(constB83) | (~v108(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28250,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB83) | v118(constB83) | (~v108(constB83))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28249, 28248])).
% 136.33/86.97 tff(28251,plain,
% 136.33/86.97 (v109(constB83) | (~v108(constB83))),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28250, 2856, 28247])).
% 136.33/86.97 tff(28252,plain,
% 136.33/86.97 (v109(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28251, 28243])).
% 136.33/86.97 tff(28253,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB83, bitIndex1)) | (~v172(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB83, bitIndex1)) | (~v172(constB83)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28254,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB83, bitIndex1)) | (~v172(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28255,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB83, bitIndex1)) | (~v172(constB83))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28254, 28253])).
% 136.33/86.97 tff(28256,plain,
% 136.33/86.97 (~v172(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28255, 2289, 28077])).
% 136.33/86.97 tff(28257,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB83)) | v172(constB83) | v110(constB83))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB83)) | v172(constB83) | v110(constB83))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28258,plain,
% 136.33/86.97 ((v110(constB83) | (~v109(constB83)) | v172(constB83)) <=> ((~v109(constB83)) | v172(constB83) | v110(constB83))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28259,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB83) | (~v109(constB83)) | v172(constB83))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB83)) | v172(constB83) | v110(constB83)))),
% 136.33/86.97 inference(monotonicity,[status(thm)],[28258])).
% 136.33/86.97 tff(28260,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB83) | (~v109(constB83)) | v172(constB83))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB83)) | v172(constB83) | v110(constB83))),
% 136.33/86.97 inference(transitivity,[status(thm)],[28259, 28257])).
% 136.33/86.97 tff(28261,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB83) | (~v109(constB83)) | v172(constB83))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28262,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB83)) | v172(constB83) | v110(constB83)),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28261, 28260])).
% 136.33/86.97 tff(28263,plain,
% 136.33/86.97 ((~v109(constB83)) | v110(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28262, 2871, 28256])).
% 136.33/86.97 tff(28264,plain,
% 136.33/86.97 (v110(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28263, 28252])).
% 136.33/86.97 tff(28265,plain,
% 136.33/86.97 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v116(constB83)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v116(constB83)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28266,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB83, bitIndex2)) | (~v116(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28267,plain,
% 136.33/86.97 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB83, bitIndex2)) | (~v116(constB83))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 136.33/86.97 tff(28268,plain,
% 136.33/86.97 (~v116(constB83)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28267, 1130, 28185])).
% 136.33/86.97 tff(28269,plain,
% 136.33/86.97 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB83) | v116(constB83) | (~v110(constB83)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB83) | v116(constB83) | (~v110(constB83)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28270,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB83) | v116(constB83) | (~v110(constB83)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28271,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB83) | v116(constB83) | (~v110(constB83))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28270, 28269])).
% 136.33/86.97 tff(28272,plain,
% 136.33/86.97 ($false),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28271, 2932, 28268, 28264, 28231])).
% 136.33/86.97 tff(28273,plain,(v94(constB82) | (~v107(constB83)) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/86.97 tff(28274,plain,
% 136.33/86.97 (v94(constB82)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28273, 27960, 28036, 28027])).
% 136.33/86.97 tff(28275,plain,
% 136.33/86.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v94(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v94(constB82)))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28276,plain,
% 136.33/86.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB81, constB82)) | v104(constB82) | (~v94(constB82)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28277,plain,
% 136.33/86.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB81, constB82)) | v104(constB82) | (~v94(constB82))),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28276, 28275])).
% 136.33/86.97 tff(28278,plain,
% 136.33/86.97 (v104(constB82) | (~v94(constB82))),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28277, 3113, 28042])).
% 136.33/86.97 tff(28279,plain,
% 136.33/86.97 (v104(constB82)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28278, 28274])).
% 136.33/86.97 tff(28280,plain,
% 136.33/86.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB81, constB82)) | (~v104(constB82)) | v102(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB81, constB82)) | (~v104(constB82)) | v102(constB81))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28281,plain,
% 136.33/86.97 (((~nextState(constB81, constB82)) | v102(constB81) | (~v104(constB82))) <=> ((~nextState(constB81, constB82)) | (~v104(constB82)) | v102(constB81))),
% 136.33/86.97 inference(rewrite,[status(thm)],[])).
% 136.33/86.97 tff(28282,plain,
% 136.33/86.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB81, constB82)) | v102(constB81) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB81, constB82)) | (~v104(constB82)) | v102(constB81)))),
% 136.33/86.97 inference(monotonicity,[status(thm)],[28281])).
% 136.33/86.97 tff(28283,plain,
% 136.33/86.97 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB81, constB82)) | v102(constB81) | (~v104(constB82)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB81, constB82)) | (~v104(constB82)) | v102(constB81))),
% 136.33/86.97 inference(transitivity,[status(thm)],[28282, 28280])).
% 136.33/86.97 tff(28284,plain,
% 136.33/86.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB81, constB82)) | v102(constB81) | (~v104(constB82)))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28285,plain,
% 136.33/86.97 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB81, constB82)) | (~v104(constB82)) | v102(constB81)),
% 136.33/86.97 inference(modus_ponens,[status(thm)],[28284, 28283])).
% 136.33/86.97 tff(28286,plain,
% 136.33/86.97 ((~v104(constB82)) | v102(constB81)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28285, 3128, 28042])).
% 136.33/86.97 tff(28287,plain,
% 136.33/86.97 (v102(constB81)),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28286, 28279])).
% 136.33/86.97 tff(28288,assumption,(v26(constB81)), introduced(assumption)).
% 136.33/86.97 tff(28289,plain,
% 136.33/86.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 136.33/86.97 inference(quant_inst,[status(thm)],[])).
% 136.33/86.97 tff(28290,plain,
% 136.33/86.97 ($false),
% 136.33/86.97 inference(unit_resolution,[status(thm)],[28289, 1172, 28288])).
% 136.33/86.97 tff(28291,plain,(~v26(constB81)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.98 tff(28292,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB81)) | v26(constB81) | v106(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB81)) | v26(constB81) | v106(constB81))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28293,plain,
% 136.33/86.98 ((v26(constB81) | v106(constB81) | (~v102(constB81))) <=> ((~v102(constB81)) | v26(constB81) | v106(constB81))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28294,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB81) | v106(constB81) | (~v102(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB81)) | v26(constB81) | v106(constB81)))),
% 136.33/86.98 inference(monotonicity,[status(thm)],[28293])).
% 136.33/86.98 tff(28295,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB81) | v106(constB81) | (~v102(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB81)) | v26(constB81) | v106(constB81))),
% 136.33/86.98 inference(transitivity,[status(thm)],[28294, 28292])).
% 136.33/86.98 tff(28296,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB81) | v106(constB81) | (~v102(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28297,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB81)) | v26(constB81) | v106(constB81)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28296, 28295])).
% 136.33/86.98 tff(28298,plain,
% 136.33/86.98 ((~v102(constB81)) | v106(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28297, 3146, 28291])).
% 136.33/86.98 tff(28299,plain,
% 136.33/86.98 (v106(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28298, 28287])).
% 136.33/86.98 tff(28300,assumption,(v106(constB81)), introduced(assumption)).
% 136.33/86.98 tff(28301,assumption,(~v107(constB81)), introduced(assumption)).
% 136.33/86.98 tff(28302,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB81) | (~v106(constB81)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB81) | (~v106(constB81)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28303,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB81) | (~v106(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28304,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB81) | (~v106(constB81))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28303, 28302])).
% 136.33/86.98 tff(28305,plain,
% 136.33/86.98 ($false),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28304, 3161, 28301, 28300])).
% 136.33/86.98 tff(28306,plain,((~v106(constB81)) | v107(constB81)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.98 tff(28307,plain,
% 136.33/86.98 (v107(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28306, 28299])).
% 136.33/86.98 tff(28308,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB81)) | (~v84(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB81)) | (~v84(constB81, bitIndex0)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28309,plain,
% 136.33/86.98 (((~v84(constB81, bitIndex0)) | (~v119(constB81))) <=> ((~v119(constB81)) | (~v84(constB81, bitIndex0)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28310,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v119(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB81)) | (~v84(constB81, bitIndex0))))),
% 136.33/86.98 inference(monotonicity,[status(thm)],[28309])).
% 136.33/86.98 tff(28311,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v119(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB81)) | (~v84(constB81, bitIndex0)))),
% 136.33/86.98 inference(transitivity,[status(thm)],[28310, 28308])).
% 136.33/86.98 tff(28312,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v119(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28313,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB81)) | (~v84(constB81, bitIndex0))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28312, 28311])).
% 136.33/86.98 tff(28314,plain,
% 136.33/86.98 (~v119(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28313, 3173, 28027])).
% 136.33/86.98 tff(28315,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB81) | v119(constB81) | (~v107(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB81) | v119(constB81) | (~v107(constB81)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28316,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB81) | v119(constB81) | (~v107(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28317,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB81) | v119(constB81) | (~v107(constB81))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28316, 28315])).
% 136.33/86.98 tff(28318,plain,
% 136.33/86.98 (v108(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28317, 3195, 28314, 28307])).
% 136.33/86.98 tff(28319,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v118(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v118(constB81)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28320,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v118(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28321,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v118(constB81))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28320, 28319])).
% 136.33/86.98 tff(28322,plain,
% 136.33/86.98 (~v118(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28321, 2842, 27960])).
% 136.33/86.98 tff(28323,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB81) | v118(constB81) | (~v108(constB81)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB81) | v118(constB81) | (~v108(constB81)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28324,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB81) | v118(constB81) | (~v108(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28325,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB81) | v118(constB81) | (~v108(constB81))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28324, 28323])).
% 136.33/86.98 tff(28326,plain,
% 136.33/86.98 (v109(constB81) | (~v108(constB81))),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28325, 2856, 28322])).
% 136.33/86.98 tff(28327,plain,
% 136.33/86.98 (v109(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28326, 28318])).
% 136.33/86.98 tff(28328,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v172(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v172(constB81)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28329,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB81, bitIndex1)) | (~v172(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28330,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB81, bitIndex1)) | (~v172(constB81))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28329, 28328])).
% 136.33/86.98 tff(28331,plain,
% 136.33/86.98 (~v172(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28330, 2289, 27960])).
% 136.33/86.98 tff(28332,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB81)) | v172(constB81) | v110(constB81))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB81)) | v172(constB81) | v110(constB81))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28333,plain,
% 136.33/86.98 ((v110(constB81) | (~v109(constB81)) | v172(constB81)) <=> ((~v109(constB81)) | v172(constB81) | v110(constB81))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28334,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB81) | (~v109(constB81)) | v172(constB81))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB81)) | v172(constB81) | v110(constB81)))),
% 136.33/86.98 inference(monotonicity,[status(thm)],[28333])).
% 136.33/86.98 tff(28335,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB81) | (~v109(constB81)) | v172(constB81))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB81)) | v172(constB81) | v110(constB81))),
% 136.33/86.98 inference(transitivity,[status(thm)],[28334, 28332])).
% 136.33/86.98 tff(28336,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB81) | (~v109(constB81)) | v172(constB81))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28337,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB81)) | v172(constB81) | v110(constB81)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28336, 28335])).
% 136.33/86.98 tff(28338,plain,
% 136.33/86.98 ((~v109(constB81)) | v110(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28337, 2871, 28331])).
% 136.33/86.98 tff(28339,plain,
% 136.33/86.98 (v110(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28338, 28327])).
% 136.33/86.98 tff(28340,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB79) | (~v116(constB79)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB79) | (~v116(constB79)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28341,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB79) | (~v116(constB79)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28342,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB79) | (~v116(constB79))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28341, 28340])).
% 136.33/86.98 tff(28343,plain,
% 136.33/86.98 (~v116(constB79)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28342, 934, 27984])).
% 136.33/86.98 tff(28344,assumption,(~v84(constB80, bitIndex2)), introduced(assumption)).
% 136.33/86.98 tff(28345,plain,
% 136.33/86.98 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex2)) | v84(constB80, bitIndex2) | (~v84(constB79, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex2)) | v84(constB80, bitIndex2) | (~v84(constB79, bitIndex2)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28346,plain,
% 136.33/86.98 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex2)) | v84(constB80, bitIndex2) | (~v84(constB79, bitIndex2)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28347,plain,
% 136.33/86.98 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB79, constB80)) | v94(constB80) | (~less_3(bitIndex2)) | v84(constB80, bitIndex2) | (~v84(constB79, bitIndex2))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28346, 28345])).
% 136.33/86.98 tff(28348,plain,
% 136.33/86.98 ($false),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28347, 777, 767, 27801, 27815, 28344, 27763])).
% 136.33/86.98 tff(28349,plain,(v84(constB80, bitIndex2) | v94(constB80) | (~v84(constB79, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.33/86.98 tff(28350,plain,
% 136.33/86.98 (~v84(constB79, bitIndex2)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28349, 27815, 28344])).
% 136.33/86.98 tff(28351,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v116(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v116(constB79))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28352,plain,
% 136.33/86.98 (((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79)) <=> ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v116(constB79))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28353,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v116(constB79)))),
% 136.33/86.98 inference(monotonicity,[status(thm)],[28352])).
% 136.33/86.98 tff(28354,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v116(constB79))),
% 136.33/86.98 inference(transitivity,[status(thm)],[28353, 28351])).
% 136.33/86.98 tff(28355,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB79, bitIndex0)) | (~v84(constB79, bitIndex1)) | v84(constB79, bitIndex2) | v116(constB79))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28356,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB79, bitIndex0)) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | v116(constB79)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28355, 28354])).
% 136.33/86.98 tff(28357,plain,
% 136.33/86.98 ((~v84(constB79, bitIndex0)) | v116(constB79)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28356, 1076, 27925, 28350])).
% 136.33/86.98 tff(28358,plain,
% 136.33/86.98 (~v84(constB79, bitIndex0)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28357, 28343])).
% 136.33/86.98 tff(28359,plain,
% 136.33/86.98 (v115(constB79)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28008, 28358, 27925, 27982])).
% 136.33/86.98 tff(28360,plain,
% 136.33/86.98 ($false),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[27988, 945, 28359, 27985])).
% 136.33/86.98 tff(28361,plain,(v94(constB80) | v84(constB80, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.98 tff(28362,plain,
% 136.33/86.98 (v84(constB80, bitIndex2)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28361, 27815])).
% 136.33/86.98 tff(28363,assumption,(v84(constB80, bitIndex2)), introduced(assumption)).
% 136.33/86.98 tff(28364,assumption,(~v84(constB81, bitIndex2)), introduced(assumption)).
% 136.33/86.98 tff(28365,plain,
% 136.33/86.98 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | (~v84(constB80, bitIndex2)) | v84(constB81, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | (~v84(constB80, bitIndex2)) | v84(constB81, bitIndex2))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28366,plain,
% 136.33/86.98 (((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB80, bitIndex2))) <=> ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | (~v84(constB80, bitIndex2)) | v84(constB81, bitIndex2))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28367,plain,
% 136.33/86.98 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB80, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | (~v84(constB80, bitIndex2)) | v84(constB81, bitIndex2)))),
% 136.33/86.98 inference(monotonicity,[status(thm)],[28366])).
% 136.33/86.98 tff(28368,plain,
% 136.33/86.98 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB80, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | (~v84(constB80, bitIndex2)) | v84(constB81, bitIndex2))),
% 136.33/86.98 inference(transitivity,[status(thm)],[28367, 28365])).
% 136.33/86.98 tff(28369,plain,
% 136.33/86.98 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB80, bitIndex2)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28370,plain,
% 136.33/86.98 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB80, constB81)) | v94(constB81) | (~less_3(bitIndex2)) | (~v84(constB80, bitIndex2)) | v84(constB81, bitIndex2)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28369, 28368])).
% 136.33/86.98 tff(28371,plain,
% 136.33/86.98 ($false),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28370, 777, 767, 27939, 27951, 28364, 28363])).
% 136.33/86.98 tff(28372,plain,(v84(constB81, bitIndex2) | (~v84(constB80, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.33/86.98 tff(28373,plain,
% 136.33/86.98 (v84(constB81, bitIndex2)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28372, 28362])).
% 136.33/86.98 tff(28374,plain,
% 136.33/86.98 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB81, bitIndex2)) | (~v116(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB81, bitIndex2)) | (~v116(constB81)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28375,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB81, bitIndex2)) | (~v116(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28376,plain,
% 136.33/86.98 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB81, bitIndex2)) | (~v116(constB81))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28375, 28374])).
% 136.33/86.98 tff(28377,plain,
% 136.33/86.98 (~v116(constB81)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28376, 1130, 28373])).
% 136.33/86.98 tff(28378,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB81) | v116(constB81) | (~v110(constB81)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB81) | v116(constB81) | (~v110(constB81)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28379,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB81) | v116(constB81) | (~v110(constB81)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28380,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB81) | v116(constB81) | (~v110(constB81))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28379, 28378])).
% 136.33/86.98 tff(28381,plain,
% 136.33/86.98 ($false),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28380, 2932, 28377, 28339, 28035])).
% 136.33/86.98 tff(28382,plain,(v94(constB80) | (~v107(constB83))), inference(lemma,lemma(discharge,[]))).
% 136.33/86.98 tff(28383,plain,
% 136.33/86.98 (~v107(constB83)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28382, 27814])).
% 136.33/86.98 tff(28384,assumption,(~v107(constB83)), introduced(assumption)).
% 136.33/86.98 tff(28385,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB83) | (~v106(constB83)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB83) | (~v106(constB83)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28386,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB83) | (~v106(constB83)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28387,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB83) | (~v106(constB83))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28386, 28385])).
% 136.33/86.98 tff(28388,plain,
% 136.33/86.98 (~v106(constB83)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28387, 3161, 28384])).
% 136.33/86.98 tff(28389,assumption,(v26(constB83)), introduced(assumption)).
% 136.33/86.98 tff(28390,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28391,plain,
% 136.33/86.98 ($false),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28390, 1172, 28389])).
% 136.33/86.98 tff(28392,plain,(~v26(constB83)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.98 tff(28393,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB83)) | v26(constB83) | v106(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB83)) | v26(constB83) | v106(constB83))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28394,plain,
% 136.33/86.98 ((v26(constB83) | v106(constB83) | (~v102(constB83))) <=> ((~v102(constB83)) | v26(constB83) | v106(constB83))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28395,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB83) | v106(constB83) | (~v102(constB83)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB83)) | v26(constB83) | v106(constB83)))),
% 136.33/86.98 inference(monotonicity,[status(thm)],[28394])).
% 136.33/86.98 tff(28396,plain,
% 136.33/86.98 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB83) | v106(constB83) | (~v102(constB83)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB83)) | v26(constB83) | v106(constB83))),
% 136.33/86.98 inference(transitivity,[status(thm)],[28395, 28393])).
% 136.33/86.98 tff(28397,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB83) | v106(constB83) | (~v102(constB83)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28398,plain,
% 136.33/86.98 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB83)) | v26(constB83) | v106(constB83)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28397, 28396])).
% 136.33/86.98 tff(28399,plain,
% 136.33/86.98 ((~v102(constB83)) | v106(constB83)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28398, 3146, 28392])).
% 136.33/86.98 tff(28400,plain,
% 136.33/86.98 (~v102(constB83)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28399, 28388])).
% 136.33/86.98 tff(28401,plain,
% 136.33/86.98 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28402,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_83_1')).
% 136.33/86.98 tff(28403,plain,
% 136.33/86.98 (nextState(constB83, constB84)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28402, 28401])).
% 136.33/86.98 tff(28404,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB83, constB84)) | (~v104(constB84)) | v102(constB83))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB83, constB84)) | (~v104(constB84)) | v102(constB83))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28405,plain,
% 136.33/86.98 (((~nextState(constB83, constB84)) | v102(constB83) | (~v104(constB84))) <=> ((~nextState(constB83, constB84)) | (~v104(constB84)) | v102(constB83))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28406,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB83, constB84)) | v102(constB83) | (~v104(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB83, constB84)) | (~v104(constB84)) | v102(constB83)))),
% 136.33/86.98 inference(monotonicity,[status(thm)],[28405])).
% 136.33/86.98 tff(28407,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB83, constB84)) | v102(constB83) | (~v104(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB83, constB84)) | (~v104(constB84)) | v102(constB83))),
% 136.33/86.98 inference(transitivity,[status(thm)],[28406, 28404])).
% 136.33/86.98 tff(28408,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB83, constB84)) | v102(constB83) | (~v104(constB84)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28409,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB83, constB84)) | (~v104(constB84)) | v102(constB83)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28408, 28407])).
% 136.33/86.98 tff(28410,plain,
% 136.33/86.98 ((~v104(constB84)) | v102(constB83)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28409, 3128, 28403])).
% 136.33/86.98 tff(28411,plain,
% 136.33/86.98 (~v104(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28410, 28400])).
% 136.33/86.98 tff(28412,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v94(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v94(constB84)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28413,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v94(constB84)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28414,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v94(constB84))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28413, 28412])).
% 136.33/86.98 tff(28415,plain,
% 136.33/86.98 (v104(constB84) | (~v94(constB84))),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28414, 3113, 28403])).
% 136.33/86.98 tff(28416,plain,
% 136.33/86.98 (~v94(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28415, 28411])).
% 136.33/86.98 tff(28417,assumption,(~v84(constB84, bitIndex1)), introduced(assumption)).
% 136.33/86.98 tff(28418,assumption,(~v94(constB84)), introduced(assumption)).
% 136.33/86.98 tff(28419,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28420,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28421,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB83) | (~nextState(constB83, constB84)) | (~v98(constB84))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28420, 28419])).
% 136.33/86.98 tff(28422,plain,
% 136.33/86.98 (~v98(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28421, 541, 28403, 28056])).
% 136.33/86.98 tff(28423,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28424,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB83, constB84)) | v96(constB84) | v98(constB84))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28425,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB83, constB84)) | v96(constB84) | v98(constB84)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 136.33/86.98 tff(28426,plain,
% 136.33/86.98 (v96(constB84) | v98(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28425, 555, 28403])).
% 136.33/86.98 tff(28427,plain,
% 136.33/86.98 (v96(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28426, 28422])).
% 136.33/86.98 tff(28428,plain,
% 136.33/86.98 (v1(constB84) <=> v1(constB84)),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28429,axiom,(v1(constB84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_84_1')).
% 136.33/86.98 tff(28430,plain,
% 136.33/86.98 (v1(constB84)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28429, 28428])).
% 136.33/86.98 tff(28431,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28432,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84)))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28433,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB83, constB84)) | v95(constB84) | (~v96(constB84)) | (~v1(constB84))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28432, 28431])).
% 136.33/86.98 tff(28434,plain,
% 136.33/86.98 (v95(constB84) | (~v96(constB84))),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28433, 573, 28403, 28430])).
% 136.33/86.98 tff(28435,plain,
% 136.33/86.98 (v95(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28434, 28427])).
% 136.33/86.98 tff(28436,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28437,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28438,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB83, constB84)) | (~v95(constB84)) | (~v104(constB84)) | v94(constB84)),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28437, 28436])).
% 136.33/86.98 tff(28439,plain,
% 136.33/86.98 ((~v95(constB84)) | (~v104(constB84)) | v94(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28438, 588, 28403])).
% 136.33/86.98 tff(28440,plain,
% 136.33/86.98 ((~v104(constB84)) | v94(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28439, 28435])).
% 136.33/86.98 tff(28441,plain,
% 136.33/86.98 (~v104(constB84)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28440, 28418])).
% 136.33/86.98 tff(28442,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28443,plain,
% 136.33/86.98 (((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84)) <=> ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 136.33/86.98 inference(rewrite,[status(thm)],[])).
% 136.33/86.98 tff(28444,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))))),
% 136.33/86.98 inference(monotonicity,[status(thm)],[28443])).
% 136.33/86.98 tff(28445,plain,
% 136.33/86.98 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83)))),
% 136.33/86.98 inference(transitivity,[status(thm)],[28444, 28442])).
% 136.33/86.98 tff(28446,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB83, constB84)) | (~v102(constB83)) | v104(constB84))),
% 136.33/86.98 inference(quant_inst,[status(thm)],[])).
% 136.33/86.98 tff(28447,plain,
% 136.33/86.98 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB83, constB84)) | v104(constB84) | (~v102(constB83))),
% 136.33/86.98 inference(modus_ponens,[status(thm)],[28446, 28445])).
% 136.33/86.98 tff(28448,plain,
% 136.33/86.98 (v104(constB84) | (~v102(constB83))),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28447, 604, 28403])).
% 136.33/86.98 tff(28449,plain,
% 136.33/86.98 (~v102(constB83)),
% 136.33/86.98 inference(unit_resolution,[status(thm)],[28448, 28441])).
% 136.33/86.98 tff(28450,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB83) | (~v106(constB83)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB83) | (~v106(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28451,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB83) | (~v106(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28452,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB83) | (~v106(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28451, 28450])).
% 136.33/86.99 tff(28453,plain,
% 136.33/86.99 (~v106(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28452, 619, 28449])).
% 136.33/86.99 tff(28454,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | v106(constB83) | (~v107(constB83)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | v106(constB83) | (~v107(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28455,plain,
% 136.33/86.99 ((v26(constB83) | (~v107(constB83)) | v106(constB83)) <=> (v26(constB83) | v106(constB83) | (~v107(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28456,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | v106(constB83) | (~v107(constB83))))),
% 136.33/86.99 inference(monotonicity,[status(thm)],[28455])).
% 136.33/86.99 tff(28457,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | v106(constB83) | (~v107(constB83)))),
% 136.33/86.99 inference(transitivity,[status(thm)],[28456, 28454])).
% 136.33/86.99 tff(28458,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB83) | (~v107(constB83)) | v106(constB83))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28459,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB83) | v106(constB83) | (~v107(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28458, 28457])).
% 136.33/86.99 tff(28460,plain,
% 136.33/86.99 (v106(constB83) | (~v107(constB83))),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28459, 644, 28392])).
% 136.33/86.99 tff(28461,plain,
% 136.33/86.99 (~v107(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28460, 28453])).
% 136.33/86.99 tff(28462,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB83) | (~v108(constB83)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB83) | (~v108(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28463,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB83) | (~v108(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28464,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB83) | (~v108(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 136.33/86.99 tff(28465,plain,
% 136.33/86.99 (~v108(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28464, 658, 28461])).
% 136.33/86.99 tff(28466,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB83) | (~v118(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB83) | (~v118(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28467,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB83) | (~v118(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28468,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB83) | (~v118(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28467, 28466])).
% 136.33/86.99 tff(28469,plain,
% 136.33/86.99 (~v118(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28468, 1004, 28465])).
% 136.33/86.99 tff(28470,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB83) | (~v109(constB83)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB83) | (~v109(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28471,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB83) | (~v109(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28472,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB83) | (~v109(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28471, 28470])).
% 136.33/86.99 tff(28473,plain,
% 136.33/86.99 (~v109(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28472, 669, 28465])).
% 136.33/86.99 tff(28474,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB83) | (~v110(constB83)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB83) | (~v110(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28475,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB83) | (~v110(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28476,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB83) | (~v110(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28475, 28474])).
% 136.33/86.99 tff(28477,plain,
% 136.33/86.99 (~v110(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28476, 680, 28473])).
% 136.33/86.99 tff(28478,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB83) | (~v111(constB83)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB83) | (~v111(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28479,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB83) | (~v111(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28480,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB83) | (~v111(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28479, 28478])).
% 136.33/86.99 tff(28481,plain,
% 136.33/86.99 (~v111(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28480, 691, 28477])).
% 136.33/86.99 tff(28482,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB83) | (~v112(constB83)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB83) | (~v112(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28483,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB83) | (~v112(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28484,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB83) | (~v112(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28483, 28482])).
% 136.33/86.99 tff(28485,plain,
% 136.33/86.99 (~v112(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28484, 702, 28481])).
% 136.33/86.99 tff(28486,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB83) | (~v145(constB83)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB83) | (~v145(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28487,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB83) | (~v145(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28488,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB83) | (~v145(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28487, 28486])).
% 136.33/86.99 tff(28489,plain,
% 136.33/86.99 (~v145(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28488, 713, 28485])).
% 136.33/86.99 tff(28490,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB83) | (~v115(constB83)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB83) | (~v115(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28491,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB83) | (~v115(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28492,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB83) | (~v115(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28491, 28490])).
% 136.33/86.99 tff(28493,plain,
% 136.33/86.99 (~v115(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28492, 945, 28481])).
% 136.33/86.99 tff(28494,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB83) | (~v116(constB83)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB83) | (~v116(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28495,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB83) | (~v116(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28496,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB83) | (~v116(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28495, 28494])).
% 136.33/86.99 tff(28497,plain,
% 136.33/86.99 (~v116(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28496, 934, 28477])).
% 136.33/86.99 tff(28498,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB83) | (~v113(constB83)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB83) | (~v113(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28499,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB83) | (~v113(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28500,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB83) | (~v113(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28499, 28498])).
% 136.33/86.99 tff(28501,plain,
% 136.33/86.99 (~v113(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28500, 969, 28485])).
% 136.33/86.99 tff(28502,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB83) | (~v119(constB83)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB83) | (~v119(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28503,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB83) | (~v119(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28504,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB83) | (~v119(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28503, 28502])).
% 136.33/86.99 tff(28505,plain,
% 136.33/86.99 (~v119(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28504, 1927, 28461])).
% 136.33/86.99 tff(28506,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB83) | (~v172(constB83)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB83) | (~v172(constB83)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28507,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB83) | (~v172(constB83)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28508,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB83) | (~v172(constB83))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28507, 28506])).
% 136.33/86.99 tff(28509,plain,
% 136.33/86.99 (~v172(constB83)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28508, 1033, 28473])).
% 136.33/86.99 tff(28510,assumption,(~v115(constB83)), introduced(assumption)).
% 136.33/86.99 tff(28511,assumption,(~v116(constB83)), introduced(assumption)).
% 136.33/86.99 tff(28512,assumption,(~v113(constB83)), introduced(assumption)).
% 136.33/86.99 tff(28513,assumption,(v84(constB83, bitIndex1)), introduced(assumption)).
% 136.33/86.99 tff(28514,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)) | v116(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)) | v116(constB83))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28515,plain,
% 136.33/86.99 (((~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v116(constB83)) <=> ((~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)) | v116(constB83))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28516,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v116(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)) | v116(constB83)))),
% 136.33/86.99 inference(monotonicity,[status(thm)],[28515])).
% 136.33/86.99 tff(28517,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v116(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)) | v116(constB83))),
% 136.33/86.99 inference(transitivity,[status(thm)],[28516, 28514])).
% 136.33/86.99 tff(28518,plain,
% 136.33/86.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v116(constB83))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28519,plain,
% 136.33/86.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)) | v116(constB83)),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28518, 28517])).
% 136.33/86.99 tff(28520,plain,
% 136.33/86.99 ((~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0))),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28519, 1076, 28511])).
% 136.33/86.99 tff(28521,plain,
% 136.33/86.99 (~v84(constB83, bitIndex0)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28520, 28089, 28513])).
% 136.33/86.99 tff(28522,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v115(constB83))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v115(constB83))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28523,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v115(constB83))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28524,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2) | v115(constB83)),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28523, 28522])).
% 136.33/86.99 tff(28525,plain,
% 136.33/86.99 (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | v84(constB83, bitIndex2)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28524, 1095, 28510])).
% 136.33/86.99 tff(28526,plain,
% 136.33/86.99 ($false),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28525, 28521, 28089, 28513])).
% 136.33/86.99 tff(28527,plain,(v84(constB83, bitIndex2) | (~v84(constB83, bitIndex1)) | v115(constB83) | v116(constB83)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.99 tff(28528,plain,
% 136.33/86.99 (~v84(constB83, bitIndex1)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28527, 28089, 28511, 28510])).
% 136.33/86.99 tff(28529,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28530,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28531,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB83) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2)),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28530, 28529])).
% 136.33/86.99 tff(28532,plain,
% 136.33/86.99 (v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28531, 983, 28512])).
% 136.33/86.99 tff(28533,plain,
% 136.33/86.99 ($false),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28532, 28528, 28089, 28217])).
% 136.33/86.99 tff(28534,plain,(v84(constB83, bitIndex2) | v84(constB83, bitIndex0) | v113(constB83) | v116(constB83) | v115(constB83)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.99 tff(28535,plain,
% 136.33/86.99 (v84(constB83, bitIndex2)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28534, 28217, 28512, 28511, 28510])).
% 136.33/86.99 tff(28536,assumption,(~v119(constB83)), introduced(assumption)).
% 136.33/86.99 tff(28537,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB83) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB83) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28538,plain,
% 136.33/86.99 ((v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2)) | v119(constB83)) <=> (v119(constB83) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28539,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2)) | v119(constB83))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB83) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2))))),
% 136.33/86.99 inference(monotonicity,[status(thm)],[28538])).
% 136.33/86.99 tff(28540,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2)) | v119(constB83))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB83) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2)))),
% 136.33/86.99 inference(transitivity,[status(thm)],[28539, 28537])).
% 136.33/86.99 tff(28541,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2)) | v119(constB83))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28542,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB83) | v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28541, 28540])).
% 136.33/86.99 tff(28543,plain,
% 136.33/86.99 (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1)) | (~v84(constB83, bitIndex2))),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28542, 1910, 28536])).
% 136.33/86.99 tff(28544,plain,
% 136.33/86.99 (~v84(constB83, bitIndex1)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28543, 28535, 28217])).
% 136.33/86.99 tff(28545,assumption,(~v172(constB83)), introduced(assumption)).
% 136.33/86.99 tff(28546,plain,
% 136.33/86.99 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28547,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28548,plain,
% 136.33/86.99 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v172(constB83)),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28547, 28546])).
% 136.33/86.99 tff(28549,plain,
% 136.33/86.99 (v84(constB83, bitIndex0) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2))),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28548, 1047, 28545])).
% 136.33/86.99 tff(28550,plain,
% 136.33/86.99 ($false),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28549, 28544, 28535, 28217])).
% 136.33/86.99 tff(28551,plain,(v84(constB83, bitIndex0) | v172(constB83) | v119(constB83) | v113(constB83) | v116(constB83) | v115(constB83)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.99 tff(28552,plain,
% 136.33/86.99 (v84(constB83, bitIndex0)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28551, 28509, 28505, 28501, 28497, 28493])).
% 136.33/86.99 tff(28553,assumption,(v84(constB83, bitIndex0)), introduced(assumption)).
% 136.33/86.99 tff(28554,assumption,(~v118(constB83)), introduced(assumption)).
% 136.33/86.99 tff(28555,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83) | (~v84(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83) | (~v84(constB83, bitIndex0)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28556,plain,
% 136.33/86.99 (((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83)) <=> (v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83) | (~v84(constB83, bitIndex0)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28557,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83) | (~v84(constB83, bitIndex0))))),
% 136.33/86.99 inference(monotonicity,[status(thm)],[28556])).
% 136.33/86.99 tff(28558,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83) | (~v84(constB83, bitIndex0)))),
% 136.33/86.99 inference(transitivity,[status(thm)],[28557, 28555])).
% 136.33/86.99 tff(28559,plain,
% 136.33/86.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28560,plain,
% 136.33/86.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | v118(constB83) | (~v84(constB83, bitIndex0))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28559, 28558])).
% 136.33/86.99 tff(28561,plain,
% 136.33/86.99 (v84(constB83, bitIndex1) | (~v84(constB83, bitIndex2)) | (~v84(constB83, bitIndex0))),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28560, 1018, 28554])).
% 136.33/86.99 tff(28562,plain,
% 136.33/86.99 (~v84(constB83, bitIndex2)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28561, 28053, 28553])).
% 136.33/86.99 tff(28563,assumption,(~v145(constB83)), introduced(assumption)).
% 136.33/86.99 tff(28564,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB83) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB83) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28565,plain,
% 136.33/86.99 (((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | v145(constB83)) <=> (v145(constB83) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28566,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | v145(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB83) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0))))),
% 136.33/86.99 inference(monotonicity,[status(thm)],[28565])).
% 136.33/86.99 tff(28567,plain,
% 136.33/86.99 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | v145(constB83))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB83) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0)))),
% 136.33/86.99 inference(transitivity,[status(thm)],[28566, 28564])).
% 136.33/86.99 tff(28568,plain,
% 136.33/86.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB83, bitIndex0)) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | v145(constB83))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28569,plain,
% 136.33/86.99 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB83) | v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 136.33/86.99 tff(28570,plain,
% 136.33/86.99 (v84(constB83, bitIndex1) | v84(constB83, bitIndex2) | (~v84(constB83, bitIndex0))),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28569, 865, 28563])).
% 136.33/86.99 tff(28571,plain,
% 136.33/86.99 ($false),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28570, 28562, 28053, 28553])).
% 136.33/86.99 tff(28572,plain,(v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)) | v145(constB83) | v118(constB83)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.99 tff(28573,plain,
% 136.33/86.99 (v84(constB83, bitIndex1)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28572, 28552, 28489, 28469])).
% 136.33/86.99 tff(28574,plain,
% 136.33/86.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB84, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB84, bitIndex1))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28575,plain,
% 136.33/86.99 (((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB84, bitIndex1) | (~v84(constB83, bitIndex1))) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB84, bitIndex1))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28576,plain,
% 136.33/86.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB84, bitIndex1) | (~v84(constB83, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB84, bitIndex1)))),
% 136.33/86.99 inference(monotonicity,[status(thm)],[28575])).
% 136.33/86.99 tff(28577,plain,
% 136.33/86.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB84, bitIndex1) | (~v84(constB83, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB84, bitIndex1))),
% 136.33/86.99 inference(transitivity,[status(thm)],[28576, 28574])).
% 136.33/86.99 tff(28578,plain,
% 136.33/86.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB84, bitIndex1) | (~v84(constB83, bitIndex1)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28579,plain,
% 136.33/86.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB84, bitIndex1)),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28578, 28577])).
% 136.33/86.99 tff(28580,plain,
% 136.33/86.99 ($false),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28579, 777, 823, 28403, 28418, 28573, 28417])).
% 136.33/86.99 tff(28581,plain,(v84(constB84, bitIndex1) | v94(constB84)), inference(lemma,lemma(discharge,[]))).
% 136.33/86.99 tff(28582,plain,
% 136.33/86.99 (v84(constB84, bitIndex1)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28581, 28416])).
% 136.33/86.99 tff(28583,assumption,(v84(constB84, bitIndex1)), introduced(assumption)).
% 136.33/86.99 tff(28584,assumption,(~v84(constB85, bitIndex1)), introduced(assumption)).
% 136.33/86.99 tff(28585,plain,
% 136.33/86.99 ((~v1(constB85)) <=> (~v1(constB85))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28586,axiom,(~v1(constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_85_1_1')).
% 136.33/86.99 tff(28587,plain,
% 136.33/86.99 (~v1(constB85)),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28586, 28585])).
% 136.33/86.99 tff(28588,plain,
% 136.33/86.99 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28589,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_84_1')).
% 136.33/86.99 tff(28590,plain,
% 136.33/86.99 (nextState(constB84, constB85)),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28589, 28588])).
% 136.33/86.99 tff(28591,plain,
% 136.33/86.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28592,plain,
% 136.33/86.99 (((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85)) <=> (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28593,plain,
% 136.33/86.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))))),
% 136.33/86.99 inference(monotonicity,[status(thm)],[28592])).
% 136.33/86.99 tff(28594,plain,
% 136.33/86.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85)))),
% 136.33/86.99 inference(transitivity,[status(thm)],[28593, 28591])).
% 136.33/86.99 tff(28595,plain,
% 136.33/86.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB84, constB85)) | (~v95(constB85)) | v1(constB85))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28596,plain,
% 136.33/86.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB85) | (~nextState(constB84, constB85)) | (~v95(constB85))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28595, 28594])).
% 136.33/86.99 tff(28597,plain,
% 136.33/86.99 (~v95(constB85)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28596, 742, 28590, 28587])).
% 136.33/86.99 tff(28598,plain,
% 136.33/86.99 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28599,plain,
% 136.33/86.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85)))),
% 136.33/86.99 inference(quant_inst,[status(thm)],[])).
% 136.33/86.99 tff(28600,plain,
% 136.33/86.99 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB84, constB85)) | v95(constB85) | (~v94(constB85))),
% 136.33/86.99 inference(modus_ponens,[status(thm)],[28599, 28598])).
% 136.33/86.99 tff(28601,plain,
% 136.33/86.99 (v95(constB85) | (~v94(constB85))),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28600, 759, 28590])).
% 136.33/86.99 tff(28602,plain,
% 136.33/86.99 (~v94(constB85)),
% 136.33/86.99 inference(unit_resolution,[status(thm)],[28601, 28597])).
% 136.33/86.99 tff(28603,plain,
% 136.33/86.99 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex1)) | v84(constB85, bitIndex1) | (~v84(constB84, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex1)) | v84(constB85, bitIndex1) | (~v84(constB84, bitIndex1)))),
% 136.33/86.99 inference(rewrite,[status(thm)],[])).
% 136.33/86.99 tff(28604,plain,
% 136.33/86.99 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex1)) | v84(constB85, bitIndex1) | (~v84(constB84, bitIndex1)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28605,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex1)) | v84(constB85, bitIndex1) | (~v84(constB84, bitIndex1))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28604, 28603])).
% 136.33/87.00 tff(28606,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28605, 777, 823, 28590, 28602, 28584, 28583])).
% 136.33/87.00 tff(28607,plain,(v84(constB85, bitIndex1) | (~v84(constB84, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28608,plain,
% 136.33/87.00 (v84(constB85, bitIndex1)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28607, 28582])).
% 136.33/87.00 tff(28609,plain,
% 136.33/87.00 (~v108(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28464, 658, 28384])).
% 136.33/87.00 tff(28610,plain,
% 136.33/87.00 (~v109(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28472, 669, 28609])).
% 136.33/87.00 tff(28611,plain,
% 136.33/87.00 (~v110(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28476, 680, 28610])).
% 136.33/87.00 tff(28612,plain,
% 136.33/87.00 (~v116(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28496, 934, 28611])).
% 136.33/87.00 tff(28613,plain,
% 136.33/87.00 (~v119(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28504, 1927, 28384])).
% 136.33/87.00 tff(28614,plain,
% 136.33/87.00 (~v172(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28508, 1033, 28610])).
% 136.33/87.00 tff(28615,plain,
% 136.33/87.00 (~v111(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28480, 691, 28611])).
% 136.33/87.00 tff(28616,plain,
% 136.33/87.00 (~v115(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28492, 945, 28615])).
% 136.33/87.00 tff(28617,plain,
% 136.33/87.00 (~v112(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28484, 702, 28615])).
% 136.33/87.00 tff(28618,plain,
% 136.33/87.00 (~v113(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28500, 969, 28617])).
% 136.33/87.00 tff(28619,plain,
% 136.33/87.00 (v84(constB83, bitIndex0)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28551, 28618, 28616, 28614, 28613, 28612])).
% 136.33/87.00 tff(28620,assumption,(~v84(constB84, bitIndex0)), introduced(assumption)).
% 136.33/87.00 tff(28621,plain,
% 136.33/87.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB84, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB84, bitIndex0))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28622,plain,
% 136.33/87.00 (((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | v84(constB84, bitIndex0) | (~v84(constB83, bitIndex0))) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB84, bitIndex0))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28623,plain,
% 136.33/87.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | v84(constB84, bitIndex0) | (~v84(constB83, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB84, bitIndex0)))),
% 136.33/87.00 inference(monotonicity,[status(thm)],[28622])).
% 136.33/87.00 tff(28624,plain,
% 136.33/87.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | v84(constB84, bitIndex0) | (~v84(constB83, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB84, bitIndex0))),
% 136.33/87.00 inference(transitivity,[status(thm)],[28623, 28621])).
% 136.33/87.00 tff(28625,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | v84(constB84, bitIndex0) | (~v84(constB83, bitIndex0)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28626,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB84, bitIndex0)),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 136.33/87.00 tff(28627,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28626, 777, 795, 28403, 28418, 28553, 28620])).
% 136.33/87.00 tff(28628,plain,(v84(constB84, bitIndex0) | v94(constB84) | (~v84(constB83, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28629,plain,
% 136.33/87.00 (v84(constB84, bitIndex0)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28628, 28619, 28416])).
% 136.33/87.00 tff(28630,assumption,(v84(constB84, bitIndex0)), introduced(assumption)).
% 136.33/87.00 tff(28631,assumption,(~v84(constB85, bitIndex0)), introduced(assumption)).
% 136.33/87.00 tff(28632,plain,
% 136.33/87.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex0)) | v84(constB85, bitIndex0) | (~v84(constB84, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex0)) | v84(constB85, bitIndex0) | (~v84(constB84, bitIndex0)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28633,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex0)) | v84(constB85, bitIndex0) | (~v84(constB84, bitIndex0)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28634,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex0)) | v84(constB85, bitIndex0) | (~v84(constB84, bitIndex0))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28633, 28632])).
% 136.33/87.00 tff(28635,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28634, 777, 795, 28590, 28602, 28631, 28630])).
% 136.33/87.00 tff(28636,plain,(v84(constB85, bitIndex0) | (~v84(constB84, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28637,plain,
% 136.33/87.00 (v84(constB85, bitIndex0)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28636, 28629])).
% 136.33/87.00 tff(28638,assumption,(v107(constB85)), introduced(assumption)).
% 136.33/87.00 tff(28639,plain,
% 136.33/87.00 (~v145(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28488, 713, 28617])).
% 136.33/87.00 tff(28640,assumption,(v118(constB83)), introduced(assumption)).
% 136.33/87.00 tff(28641,plain,
% 136.33/87.00 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB83, bitIndex2) | (~v118(constB83)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB83, bitIndex2) | (~v118(constB83)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28642,plain,
% 136.33/87.00 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB83, bitIndex2) | (~v118(constB83)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28643,plain,
% 136.33/87.00 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB83, bitIndex2) | (~v118(constB83))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28642, 28641])).
% 136.33/87.00 tff(28644,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28643, 5252, 28089, 28640])).
% 136.33/87.00 tff(28645,plain,((~v118(constB83)) | v84(constB83, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28646,plain,
% 136.33/87.00 (~v118(constB83)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28645, 28089])).
% 136.33/87.00 tff(28647,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28531, 983, 28089, 28053, 28217, 28512])).
% 136.33/87.00 tff(28648,plain,(v84(constB83, bitIndex2) | v84(constB83, bitIndex1) | v84(constB83, bitIndex0) | v113(constB83)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28649,plain,
% 136.33/87.00 (v84(constB83, bitIndex0)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28648, 28053, 28512, 28089])).
% 136.33/87.00 tff(28650,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28572, 28649, 28053, 28563, 28646])).
% 136.33/87.00 tff(28651,plain,(v84(constB83, bitIndex1) | v145(constB83) | v113(constB83) | v84(constB83, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28652,plain,
% 136.33/87.00 (v84(constB83, bitIndex1)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28651, 28089, 28512, 28563])).
% 136.33/87.00 tff(28653,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28527, 28652, 28089, 28510, 28511])).
% 136.33/87.00 tff(28654,plain,(v84(constB83, bitIndex2) | v115(constB83) | v116(constB83) | v113(constB83) | v145(constB83)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28655,plain,
% 136.33/87.00 (v84(constB83, bitIndex2)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28654, 28618, 28612, 28616, 28639])).
% 136.33/87.00 tff(28656,assumption,(~v84(constB84, bitIndex2)), introduced(assumption)).
% 136.33/87.00 tff(28657,plain,
% 136.33/87.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB84, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB84, bitIndex2))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28658,plain,
% 136.33/87.00 (((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB83, bitIndex2))) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB84, bitIndex2))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28659,plain,
% 136.33/87.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB83, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB84, bitIndex2)))),
% 136.33/87.00 inference(monotonicity,[status(thm)],[28658])).
% 136.33/87.00 tff(28660,plain,
% 136.33/87.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB83, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB84, bitIndex2))),
% 136.33/87.00 inference(transitivity,[status(thm)],[28659, 28657])).
% 136.33/87.00 tff(28661,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB83, bitIndex2)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28662,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB84, bitIndex2)),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28661, 28660])).
% 136.33/87.00 tff(28663,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28662, 777, 767, 28403, 28418, 28186, 28656])).
% 136.33/87.00 tff(28664,plain,(v84(constB84, bitIndex2) | v94(constB84) | (~v84(constB83, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28665,plain,
% 136.33/87.00 (v84(constB84, bitIndex2)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28664, 28655, 28416])).
% 136.33/87.00 tff(28666,assumption,(v84(constB84, bitIndex2)), introduced(assumption)).
% 136.33/87.00 tff(28667,assumption,(~v84(constB85, bitIndex2)), introduced(assumption)).
% 136.33/87.00 tff(28668,plain,
% 136.33/87.00 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB85, bitIndex2) | (~v84(constB84, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB85, bitIndex2) | (~v84(constB84, bitIndex2)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28669,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB85, bitIndex2) | (~v84(constB84, bitIndex2)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28670,plain,
% 136.33/87.00 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB85, bitIndex2) | (~v84(constB84, bitIndex2))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28669, 28668])).
% 136.33/87.00 tff(28671,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28670, 777, 767, 28590, 28602, 28667, 28666])).
% 136.33/87.00 tff(28672,plain,(v84(constB85, bitIndex2) | (~v84(constB84, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28673,plain,
% 136.33/87.00 (v84(constB85, bitIndex2)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28672, 28665])).
% 136.33/87.00 tff(28674,assumption,(v116(constB85)), introduced(assumption)).
% 136.33/87.00 tff(28675,assumption,(v84(constB85, bitIndex2)), introduced(assumption)).
% 136.33/87.00 tff(28676,plain,
% 136.33/87.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v116(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v116(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28677,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB85, bitIndex2)) | (~v116(constB85)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28678,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB85, bitIndex2)) | (~v116(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28677, 28676])).
% 136.33/87.00 tff(28679,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28678, 1130, 28675, 28674])).
% 136.33/87.00 tff(28680,plain,((~v116(constB85)) | (~v84(constB85, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28681,plain,
% 136.33/87.00 (~v116(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28680, 28673])).
% 136.33/87.00 tff(28682,assumption,(v84(constB85, bitIndex1)), introduced(assumption)).
% 136.33/87.00 tff(28683,assumption,(~v116(constB85)), introduced(assumption)).
% 136.33/87.00 tff(28684,assumption,(v124(constB85, bitIndex1)), introduced(assumption)).
% 136.33/87.00 tff(28685,assumption,(v84(constB85, bitIndex0)), introduced(assumption)).
% 136.33/87.00 tff(28686,plain,
% 136.33/87.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB85, bitIndex0)) | (~v115(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB85, bitIndex0)) | (~v115(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28687,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB85, bitIndex0)) | (~v115(constB85)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28688,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB85, bitIndex0)) | (~v115(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28687, 28686])).
% 136.33/87.00 tff(28689,plain,
% 136.33/87.00 (~v115(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28688, 3011, 28685])).
% 136.33/87.00 tff(28690,plain,
% 136.33/87.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB85)) | (~v84(constB85, bitIndex1)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28691,plain,
% 136.33/87.00 (((~v84(constB85, bitIndex1)) | (~v145(constB85))) <=> ((~v145(constB85)) | (~v84(constB85, bitIndex1)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28692,plain,
% 136.33/87.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v145(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB85)) | (~v84(constB85, bitIndex1))))),
% 136.33/87.00 inference(monotonicity,[status(thm)],[28691])).
% 136.33/87.00 tff(28693,plain,
% 136.33/87.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v145(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB85)) | (~v84(constB85, bitIndex1)))),
% 136.33/87.00 inference(transitivity,[status(thm)],[28692, 28690])).
% 136.33/87.00 tff(28694,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v145(constB85)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28695,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB85)) | (~v84(constB85, bitIndex1))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28694, 28693])).
% 136.33/87.00 tff(28696,plain,
% 136.33/87.00 (~v145(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28695, 816, 28682])).
% 136.33/87.00 tff(28697,assumption,(~v145(constB85)), introduced(assumption)).
% 136.33/87.00 tff(28698,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v113(constB85)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v113(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28699,plain,
% 136.33/87.00 (((~v113(constB85)) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v113(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28700,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB85)) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v113(constB85))))),
% 136.33/87.00 inference(monotonicity,[status(thm)],[28699])).
% 136.33/87.00 tff(28701,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB85)) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v113(constB85)))),
% 136.33/87.00 inference(transitivity,[status(thm)],[28700, 28698])).
% 136.33/87.00 tff(28702,plain,
% 136.33/87.00 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB85)) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b100(bitIndex1))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28703,plain,
% 136.33/87.00 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v113(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28702, 28701])).
% 136.33/87.00 tff(28704,plain,
% 136.33/87.00 (~v113(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28703, 2167, 2186, 823, 28684])).
% 136.33/87.00 tff(28705,plain,
% 136.33/87.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v172(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v172(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28706,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v172(constB85)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28707,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v172(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28706, 28705])).
% 136.33/87.00 tff(28708,plain,
% 136.33/87.00 (~v172(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28707, 2289, 28682])).
% 136.33/87.00 tff(28709,plain,
% 136.33/87.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v118(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v118(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28710,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB85, bitIndex1)) | (~v118(constB85)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28711,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB85, bitIndex1)) | (~v118(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28710, 28709])).
% 136.33/87.00 tff(28712,plain,
% 136.33/87.00 (~v118(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28711, 2842, 28682])).
% 136.33/87.00 tff(28713,assumption,(~v115(constB85)), introduced(assumption)).
% 136.33/87.00 tff(28714,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB85) | v113(constB85) | (~v124(constB85, bitIndex1)) | v118(constB85) | v172(constB85) | v116(constB85) | v115(constB85))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB85) | v113(constB85) | (~v124(constB85, bitIndex1)) | v118(constB85) | v172(constB85) | v116(constB85) | v115(constB85))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28715,plain,
% 136.33/87.00 ((v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB85) | v113(constB85) | (~v124(constB85, bitIndex1)) | v118(constB85) | v172(constB85) | v116(constB85) | v115(constB85))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28716,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB85) | v113(constB85) | (~v124(constB85, bitIndex1)) | v118(constB85) | v172(constB85) | v116(constB85) | v115(constB85)))),
% 136.33/87.00 inference(monotonicity,[status(thm)],[28715])).
% 136.33/87.00 tff(28717,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB85) | v113(constB85) | (~v124(constB85, bitIndex1)) | v118(constB85) | v172(constB85) | v116(constB85) | v115(constB85))),
% 136.33/87.00 inference(transitivity,[status(thm)],[28716, 28714])).
% 136.33/87.00 tff(28718,plain,
% 136.33/87.00 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB85) | v145(constB85) | v115(constB85) | v116(constB85) | v172(constB85) | v118(constB85) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b001(bitIndex1))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28719,plain,
% 136.33/87.00 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB85) | v113(constB85) | (~v124(constB85, bitIndex1)) | v118(constB85) | v172(constB85) | v116(constB85) | v115(constB85)),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28718, 28717])).
% 136.33/87.00 tff(28720,plain,
% 136.33/87.00 (v145(constB85) | v113(constB85) | v118(constB85) | v172(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28719, 2601, 2424, 823, 28683, 28713, 28684])).
% 136.33/87.00 tff(28721,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28720, 28712, 28708, 28704, 28697])).
% 136.33/87.00 tff(28722,plain,((~v84(constB85, bitIndex1)) | v145(constB85) | v116(constB85) | v115(constB85) | (~v124(constB85, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28723,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28722, 28696, 28689, 28684, 28683, 28682])).
% 136.33/87.00 tff(28724,plain,((~v124(constB85, bitIndex1)) | v116(constB85) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28725,plain,
% 136.33/87.00 (~v124(constB85, bitIndex1)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28724, 28681, 28608, 28637])).
% 136.33/87.00 tff(28726,plain,
% 136.33/87.00 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB85, bitIndex0)) | (~v119(constB85)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB85, bitIndex0)) | (~v119(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28727,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB85, bitIndex0)) | (~v119(constB85)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28728,plain,
% 136.33/87.00 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB85, bitIndex0)) | (~v119(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28727, 28726])).
% 136.33/87.00 tff(28729,plain,
% 136.33/87.00 (~v119(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28728, 3173, 28685])).
% 136.33/87.00 tff(28730,plain,
% 136.33/87.00 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB85) | v119(constB85) | (~v107(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB85) | v119(constB85) | (~v107(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28731,plain,
% 136.33/87.00 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB85) | v119(constB85) | (~v107(constB85)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28732,plain,
% 136.33/87.00 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB85) | v119(constB85) | (~v107(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28731, 28730])).
% 136.33/87.00 tff(28733,plain,
% 136.33/87.00 (v108(constB85) | v119(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28732, 3195, 28638])).
% 136.33/87.00 tff(28734,plain,
% 136.33/87.00 (v108(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28733, 28729])).
% 136.33/87.00 tff(28735,plain,
% 136.33/87.00 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB85) | v118(constB85) | (~v108(constB85)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB85) | v118(constB85) | (~v108(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28736,plain,
% 136.33/87.00 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB85) | v118(constB85) | (~v108(constB85)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28737,plain,
% 136.33/87.00 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB85) | v118(constB85) | (~v108(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28736, 28735])).
% 136.33/87.00 tff(28738,plain,
% 136.33/87.00 (v109(constB85) | (~v108(constB85))),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28737, 2856, 28712])).
% 136.33/87.00 tff(28739,plain,
% 136.33/87.00 (v109(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28738, 28734])).
% 136.33/87.00 tff(28740,assumption,(~v124(constB85, bitIndex1)), introduced(assumption)).
% 136.33/87.00 tff(28741,assumption,(v172(constB85)), introduced(assumption)).
% 136.33/87.00 tff(28742,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB85, bitIndex1) | (~v172(constB85)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB85, bitIndex1) | (~v172(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28743,plain,
% 136.33/87.00 (((~v172(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB85, bitIndex1) | (~v172(constB85)))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28744,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB85, bitIndex1) | (~v172(constB85))))),
% 136.33/87.00 inference(monotonicity,[status(thm)],[28743])).
% 136.33/87.00 tff(28745,plain,
% 136.33/87.00 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB85, bitIndex1) | (~v172(constB85)))),
% 136.33/87.00 inference(transitivity,[status(thm)],[28744, 28742])).
% 136.33/87.00 tff(28746,plain,
% 136.33/87.00 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b110(bitIndex1)))),
% 136.33/87.00 inference(quant_inst,[status(thm)],[])).
% 136.33/87.00 tff(28747,plain,
% 136.33/87.00 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | v124(constB85, bitIndex1) | (~v172(constB85))),
% 136.33/87.00 inference(modus_ponens,[status(thm)],[28746, 28745])).
% 136.33/87.00 tff(28748,plain,
% 136.33/87.00 ($false),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28747, 1801, 1798, 823, 28740, 28741])).
% 136.33/87.00 tff(28749,plain,(v124(constB85, bitIndex1) | (~v172(constB85))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.00 tff(28750,plain,
% 136.33/87.00 (~v172(constB85)),
% 136.33/87.00 inference(unit_resolution,[status(thm)],[28749, 28740])).
% 136.33/87.00 tff(28751,plain,
% 136.33/87.00 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB85)) | v172(constB85) | v110(constB85))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB85)) | v172(constB85) | v110(constB85))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28752,plain,
% 136.33/87.00 ((v110(constB85) | (~v109(constB85)) | v172(constB85)) <=> ((~v109(constB85)) | v172(constB85) | v110(constB85))),
% 136.33/87.00 inference(rewrite,[status(thm)],[])).
% 136.33/87.00 tff(28753,plain,
% 136.33/87.00 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB85) | (~v109(constB85)) | v172(constB85))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB85)) | v172(constB85) | v110(constB85)))),
% 136.33/87.00 inference(monotonicity,[status(thm)],[28752])).
% 136.33/87.00 tff(28754,plain,
% 136.33/87.00 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB85) | (~v109(constB85)) | v172(constB85))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB85)) | v172(constB85) | v110(constB85))),
% 136.33/87.01 inference(transitivity,[status(thm)],[28753, 28751])).
% 136.33/87.01 tff(28755,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB85) | (~v109(constB85)) | v172(constB85))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28756,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB85)) | v172(constB85) | v110(constB85)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28755, 28754])).
% 136.33/87.01 tff(28757,plain,
% 136.33/87.01 ((~v109(constB85)) | v110(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28756, 2871, 28750])).
% 136.33/87.01 tff(28758,plain,
% 136.33/87.01 (v110(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28757, 28739])).
% 136.33/87.01 tff(28759,plain,
% 136.33/87.01 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28760,plain,
% 136.33/87.01 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB85)) | (~v84(constB85, bitIndex1)))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28761,plain,
% 136.33/87.01 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB85)) | (~v84(constB85, bitIndex1))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28760, 28759])).
% 136.33/87.01 tff(28762,plain,
% 136.33/87.01 (~v113(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28761, 1465, 28682])).
% 136.33/87.01 tff(28763,assumption,(v145(constB85)), introduced(assumption)).
% 136.33/87.01 tff(28764,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB85)) | (~b010(bitIndex1)) | v124(constB85, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB85)) | (~b010(bitIndex1)) | v124(constB85, bitIndex1))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28765,plain,
% 136.33/87.01 (((~v145(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB85)) | (~b010(bitIndex1)) | v124(constB85, bitIndex1))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28766,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB85)) | (~b010(bitIndex1)) | v124(constB85, bitIndex1)))),
% 136.33/87.01 inference(monotonicity,[status(thm)],[28765])).
% 136.33/87.01 tff(28767,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB85)) | (~b010(bitIndex1)) | v124(constB85, bitIndex1))),
% 136.33/87.01 inference(transitivity,[status(thm)],[28766, 28764])).
% 136.33/87.01 tff(28768,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b010(bitIndex1)))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28769,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB85)) | (~b010(bitIndex1)) | v124(constB85, bitIndex1)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28768, 28767])).
% 136.33/87.01 tff(28770,plain,
% 136.33/87.01 ($false),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28769, 1821, 1818, 823, 28763, 28740])).
% 136.33/87.01 tff(28771,plain,(v124(constB85, bitIndex1) | (~v145(constB85))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.01 tff(28772,plain,
% 136.33/87.01 (~v145(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28771, 28740])).
% 136.33/87.01 tff(28773,plain,
% 136.33/87.01 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB85) | v113(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB85) | v113(constB85) | (~v112(constB85)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28774,plain,
% 136.33/87.01 ((v113(constB85) | (~v112(constB85)) | v145(constB85)) <=> (v145(constB85) | v113(constB85) | (~v112(constB85)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28775,plain,
% 136.33/87.01 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB85) | (~v112(constB85)) | v145(constB85))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB85) | v113(constB85) | (~v112(constB85))))),
% 136.33/87.01 inference(monotonicity,[status(thm)],[28774])).
% 136.33/87.01 tff(28776,plain,
% 136.33/87.01 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB85) | (~v112(constB85)) | v145(constB85))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB85) | v113(constB85) | (~v112(constB85)))),
% 136.33/87.01 inference(transitivity,[status(thm)],[28775, 28773])).
% 136.33/87.01 tff(28777,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB85) | (~v112(constB85)) | v145(constB85))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28778,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB85) | v113(constB85) | (~v112(constB85))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28777, 28776])).
% 136.33/87.01 tff(28779,plain,
% 136.33/87.01 (v113(constB85) | (~v112(constB85))),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28778, 2894, 28772])).
% 136.33/87.01 tff(28780,plain,
% 136.33/87.01 (~v112(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28779, 28762])).
% 136.33/87.01 tff(28781,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)) | (~v115(constB85)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)) | (~v115(constB85)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28782,plain,
% 136.33/87.01 (((~v115(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)) | (~v115(constB85)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28783,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)) | (~v115(constB85))))),
% 136.33/87.01 inference(monotonicity,[status(thm)],[28782])).
% 136.33/87.01 tff(28784,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)) | (~v115(constB85)))),
% 136.33/87.01 inference(transitivity,[status(thm)],[28783, 28781])).
% 136.33/87.01 tff(28785,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB85)) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28786,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~b011(bitIndex1)) | (~v115(constB85))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28785, 28784])).
% 136.33/87.01 tff(28787,plain,
% 136.33/87.01 (~v115(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28786, 3033, 1193, 823, 28740])).
% 136.33/87.01 tff(28788,plain,
% 136.33/87.01 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB85) | v115(constB85) | (~v111(constB85)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB85) | v115(constB85) | (~v111(constB85)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28789,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB85) | v115(constB85) | (~v111(constB85)))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28790,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB85) | v115(constB85) | (~v111(constB85))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28789, 28788])).
% 136.33/87.01 tff(28791,plain,
% 136.33/87.01 (~v111(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28790, 2911, 28787, 28780])).
% 136.33/87.01 tff(28792,plain,
% 136.33/87.01 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB85) | v116(constB85) | (~v110(constB85)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB85) | v116(constB85) | (~v110(constB85)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28793,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB85) | v116(constB85) | (~v110(constB85)))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28794,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB85) | v116(constB85) | (~v110(constB85))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28793, 28792])).
% 136.33/87.01 tff(28795,plain,
% 136.33/87.01 ($false),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28794, 2932, 28683, 28791, 28758])).
% 136.33/87.01 tff(28796,plain,(v124(constB85, bitIndex1) | v116(constB85) | (~v107(constB85)) | (~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.01 tff(28797,plain,
% 136.33/87.01 ($false),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28796, 28725, 28681, 28638, 28637, 28608])).
% 136.33/87.01 tff(28798,plain,(v107(constB83) | (~v107(constB85))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.01 tff(28799,plain,
% 136.33/87.01 (~v107(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28798, 28384])).
% 136.33/87.01 tff(28800,plain,
% 136.33/87.01 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB85) | (~v106(constB85)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB85) | (~v106(constB85)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28801,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB85) | (~v106(constB85)))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28802,plain,
% 136.33/87.01 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB85) | (~v106(constB85))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28801, 28800])).
% 136.33/87.01 tff(28803,plain,
% 136.33/87.01 (~v106(constB85)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28802, 3161, 28799])).
% 136.33/87.01 tff(28804,assumption,(v94(constB82)), introduced(assumption)).
% 136.33/87.01 tff(28805,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB84, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB84, bitIndex2)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28806,plain,
% 136.33/87.01 (((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB84, bitIndex2)) | v84(constB83, bitIndex2)) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB84, bitIndex2)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28807,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB84, bitIndex2)) | v84(constB83, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB84, bitIndex2))))),
% 136.33/87.01 inference(monotonicity,[status(thm)],[28806])).
% 136.33/87.01 tff(28808,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB84, bitIndex2)) | v84(constB83, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB84, bitIndex2)))),
% 136.33/87.01 inference(transitivity,[status(thm)],[28807, 28805])).
% 136.33/87.01 tff(28809,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | (~v84(constB84, bitIndex2)) | v84(constB83, bitIndex2))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28810,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex2)) | v84(constB83, bitIndex2) | (~v84(constB84, bitIndex2))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28809, 28808])).
% 136.33/87.01 tff(28811,plain,
% 136.33/87.01 (v94(constB84) | v84(constB83, bitIndex2)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28810, 805, 767, 28403, 28666])).
% 136.33/87.01 tff(28812,plain,
% 136.33/87.01 (v84(constB83, bitIndex2)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28811, 28416])).
% 136.33/87.01 tff(28813,assumption,(~v84(constB82, bitIndex2)), introduced(assumption)).
% 136.33/87.01 tff(28814,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB82, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB82, bitIndex2))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28815,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB82, bitIndex2))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28816,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex2)) | (~v84(constB83, bitIndex2)) | v84(constB82, bitIndex2)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28815, 28814])).
% 136.33/87.01 tff(28817,plain,
% 136.33/87.01 ($false),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28816, 805, 767, 28059, 28071, 28186, 28813])).
% 136.33/87.01 tff(28818,plain,((~v84(constB83, bitIndex2)) | v84(constB82, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.01 tff(28819,plain,
% 136.33/87.01 (v84(constB82, bitIndex2)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28818, 28812])).
% 136.33/87.01 tff(28820,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB84, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB84, bitIndex1)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28821,plain,
% 136.33/87.01 (((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB84, bitIndex1)) | v84(constB83, bitIndex1)) <=> ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB84, bitIndex1)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28822,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB84, bitIndex1)) | v84(constB83, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB84, bitIndex1))))),
% 136.33/87.01 inference(monotonicity,[status(thm)],[28821])).
% 136.33/87.01 tff(28823,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB84, bitIndex1)) | v84(constB83, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB84, bitIndex1)))),
% 136.33/87.01 inference(transitivity,[status(thm)],[28822, 28820])).
% 136.33/87.01 tff(28824,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | (~v84(constB84, bitIndex1)) | v84(constB83, bitIndex1))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28825,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB83, constB84)) | v94(constB84) | (~less_3(bitIndex1)) | v84(constB83, bitIndex1) | (~v84(constB84, bitIndex1))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28824, 28823])).
% 136.33/87.01 tff(28826,plain,
% 136.33/87.01 (v84(constB83, bitIndex1)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28825, 805, 823, 28403, 28416, 28582])).
% 136.33/87.01 tff(28827,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB82, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB82, bitIndex1))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28828,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB82, bitIndex1))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28829,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex1)) | (~v84(constB83, bitIndex1)) | v84(constB82, bitIndex1)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28828, 28827])).
% 136.33/87.01 tff(28830,plain,
% 136.33/87.01 ($false),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28829, 805, 823, 28059, 28071, 28513, 28039])).
% 136.33/87.01 tff(28831,plain,((~v84(constB83, bitIndex1)) | v84(constB82, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.01 tff(28832,plain,
% 136.33/87.01 (v84(constB82, bitIndex1)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28831, 28826])).
% 136.33/87.01 tff(28833,assumption,(v84(constB82, bitIndex2)), introduced(assumption)).
% 136.33/87.01 tff(28834,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB82)) | (~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB82)) | (~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28835,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB82)) | (~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28836,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB82)) | (~v84(constB82, bitIndex2)) | v123(constB82, bitIndex2)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28835, 28834])).
% 136.33/87.01 tff(28837,plain,
% 136.33/87.01 ((~v94(constB82)) | v123(constB82, bitIndex2)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28836, 1344, 767, 28833])).
% 136.33/87.01 tff(28838,plain,
% 136.33/87.01 (v123(constB82, bitIndex2)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28837, 28804])).
% 136.33/87.01 tff(28839,assumption,(~v121(constB81, bitIndex2)), introduced(assumption)).
% 136.33/87.01 tff(28840,assumption,(v123(constB82, bitIndex2)), introduced(assumption)).
% 136.33/87.01 tff(28841,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB81, constB82)) | (~less_3(bitIndex2)) | (~v123(constB82, bitIndex2)) | v121(constB81, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB81, constB82)) | (~less_3(bitIndex2)) | (~v123(constB82, bitIndex2)) | v121(constB81, bitIndex2))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28842,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB81, constB82)) | (~less_3(bitIndex2)) | (~v123(constB82, bitIndex2)) | v121(constB81, bitIndex2))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28843,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB81, constB82)) | (~less_3(bitIndex2)) | (~v123(constB82, bitIndex2)) | v121(constB81, bitIndex2)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28842, 28841])).
% 136.33/87.01 tff(28844,plain,
% 136.33/87.01 ($false),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28843, 1362, 767, 28042, 28840, 28839])).
% 136.33/87.01 tff(28845,plain,((~v123(constB82, bitIndex2)) | v121(constB81, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.01 tff(28846,plain,
% 136.33/87.01 (v121(constB81, bitIndex2)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28845, 28838])).
% 136.33/87.01 tff(28847,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex2)) | (~v121(constB81, bitIndex2)) | v124(constB81, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB81) | (~less_3(bitIndex2)) | (~v121(constB81, bitIndex2)) | v124(constB81, bitIndex2))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28848,plain,
% 136.33/87.01 ((v26(constB81) | (~less_3(bitIndex2)) | v124(constB81, bitIndex2) | (~v121(constB81, bitIndex2))) <=> (v26(constB81) | (~less_3(bitIndex2)) | (~v121(constB81, bitIndex2)) | v124(constB81, bitIndex2))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28849,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex2)) | v124(constB81, bitIndex2) | (~v121(constB81, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex2)) | (~v121(constB81, bitIndex2)) | v124(constB81, bitIndex2)))),
% 136.33/87.01 inference(monotonicity,[status(thm)],[28848])).
% 136.33/87.01 tff(28850,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex2)) | v124(constB81, bitIndex2) | (~v121(constB81, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB81) | (~less_3(bitIndex2)) | (~v121(constB81, bitIndex2)) | v124(constB81, bitIndex2))),
% 136.33/87.01 inference(transitivity,[status(thm)],[28849, 28847])).
% 136.33/87.01 tff(28851,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex2)) | v124(constB81, bitIndex2) | (~v121(constB81, bitIndex2)))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28852,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB81) | (~less_3(bitIndex2)) | (~v121(constB81, bitIndex2)) | v124(constB81, bitIndex2)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28851, 28850])).
% 136.33/87.01 tff(28853,plain,
% 136.33/87.01 (v124(constB81, bitIndex2)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28852, 1380, 767, 28291, 28846])).
% 136.33/87.01 tff(28854,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB82)) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB82)) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28855,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB82)) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28856,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB82)) | (~v84(constB82, bitIndex0)) | v123(constB82, bitIndex0)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28855, 28854])).
% 136.33/87.01 tff(28857,plain,
% 136.33/87.01 ((~v94(constB82)) | v123(constB82, bitIndex0)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28856, 1344, 795, 28216])).
% 136.33/87.01 tff(28858,plain,
% 136.33/87.01 (v123(constB82, bitIndex0)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28857, 28804])).
% 136.33/87.01 tff(28859,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB81, constB82)) | (~less_3(bitIndex0)) | (~v123(constB82, bitIndex0)) | v121(constB81, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB81, constB82)) | (~less_3(bitIndex0)) | (~v123(constB82, bitIndex0)) | v121(constB81, bitIndex0))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28860,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB81, constB82)) | (~less_3(bitIndex0)) | (~v123(constB82, bitIndex0)) | v121(constB81, bitIndex0))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28861,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB81, constB82)) | (~less_3(bitIndex0)) | (~v123(constB82, bitIndex0)) | v121(constB81, bitIndex0)),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28860, 28859])).
% 136.33/87.01 tff(28862,plain,
% 136.33/87.01 (v121(constB81, bitIndex0)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28861, 1362, 795, 28042, 28858])).
% 136.33/87.01 tff(28863,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex0)) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB81) | (~less_3(bitIndex0)) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28864,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex0)) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0)))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28865,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB81) | (~less_3(bitIndex0)) | v124(constB81, bitIndex0) | (~v121(constB81, bitIndex0))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28864, 28863])).
% 136.33/87.01 tff(28866,plain,
% 136.33/87.01 (v124(constB81, bitIndex0)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28865, 1380, 795, 28291, 28862])).
% 136.33/87.01 tff(28867,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB81)) | (~v124(constB81, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28868,plain,
% 136.33/87.01 (((~v116(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28869,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB81)) | (~v124(constB81, bitIndex0))))),
% 136.33/87.01 inference(monotonicity,[status(thm)],[28868])).
% 136.33/87.01 tff(28870,plain,
% 136.33/87.01 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.01 inference(transitivity,[status(thm)],[28869, 28867])).
% 136.33/87.01 tff(28871,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b100(bitIndex0))),
% 136.33/87.01 inference(quant_inst,[status(thm)],[])).
% 136.33/87.01 tff(28872,plain,
% 136.33/87.01 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB81)) | (~v124(constB81, bitIndex0))),
% 136.33/87.01 inference(modus_ponens,[status(thm)],[28871, 28870])).
% 136.33/87.01 tff(28873,plain,
% 136.33/87.01 (~v116(constB81)),
% 136.33/87.01 inference(unit_resolution,[status(thm)],[28872, 2386, 2164, 795, 28866])).
% 136.33/87.01 tff(28874,plain,
% 136.33/87.01 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB82)) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB82)) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1))),
% 136.33/87.01 inference(rewrite,[status(thm)],[])).
% 136.33/87.01 tff(28875,plain,
% 136.33/87.01 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB82)) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28876,plain,
% 136.33/87.02 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB82)) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1)),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28875, 28874])).
% 136.33/87.02 tff(28877,plain,
% 136.33/87.02 ((~v94(constB82)) | v123(constB82, bitIndex1)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28876, 1344, 823, 28052])).
% 136.33/87.02 tff(28878,plain,
% 136.33/87.02 (v123(constB82, bitIndex1)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28877, 28804])).
% 136.33/87.02 tff(28879,plain,
% 136.33/87.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB81, constB82)) | (~less_3(bitIndex1)) | (~v123(constB82, bitIndex1)) | v121(constB81, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB81, constB82)) | (~less_3(bitIndex1)) | (~v123(constB82, bitIndex1)) | v121(constB81, bitIndex1))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28880,plain,
% 136.33/87.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB81, constB82)) | (~less_3(bitIndex1)) | (~v123(constB82, bitIndex1)) | v121(constB81, bitIndex1))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28881,plain,
% 136.33/87.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB81, constB82)) | (~less_3(bitIndex1)) | (~v123(constB82, bitIndex1)) | v121(constB81, bitIndex1)),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28880, 28879])).
% 136.33/87.02 tff(28882,plain,
% 136.33/87.02 (v121(constB81, bitIndex1)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28881, 1362, 823, 28042, 28878])).
% 136.33/87.02 tff(28883,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex1)) | (~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB81) | (~less_3(bitIndex1)) | (~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28884,plain,
% 136.33/87.02 ((v26(constB81) | (~less_3(bitIndex1)) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1))) <=> (v26(constB81) | (~less_3(bitIndex1)) | (~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28885,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex1)) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex1)) | (~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1)))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28884])).
% 136.33/87.02 tff(28886,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex1)) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB81) | (~less_3(bitIndex1)) | (~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28885, 28883])).
% 136.33/87.02 tff(28887,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB81) | (~less_3(bitIndex1)) | v124(constB81, bitIndex1) | (~v121(constB81, bitIndex1)))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28888,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB81) | (~less_3(bitIndex1)) | (~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1)),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28887, 28886])).
% 136.33/87.02 tff(28889,plain,
% 136.33/87.02 (v124(constB81, bitIndex1)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28888, 1380, 823, 28291, 28882])).
% 136.33/87.02 tff(28890,assumption,(v124(constB81, bitIndex2)), introduced(assumption)).
% 136.33/87.02 tff(28891,assumption,(v115(constB81)), introduced(assumption)).
% 136.33/87.02 tff(28892,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB81)) | (~v124(constB81, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB81)) | (~v124(constB81, bitIndex2)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28893,plain,
% 136.33/87.02 (((~v115(constB81)) | (~less_3(bitIndex2)) | (~v124(constB81, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB81)) | (~v124(constB81, bitIndex2)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28894,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB81)) | (~less_3(bitIndex2)) | (~v124(constB81, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB81)) | (~v124(constB81, bitIndex2))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28893])).
% 136.33/87.02 tff(28895,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB81)) | (~less_3(bitIndex2)) | (~v124(constB81, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB81)) | (~v124(constB81, bitIndex2)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28894, 28892])).
% 136.33/87.02 tff(28896,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB81)) | (~less_3(bitIndex2)) | (~v124(constB81, bitIndex2)) | b011(bitIndex2))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28897,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB81)) | (~v124(constB81, bitIndex2))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28896, 28895])).
% 136.33/87.02 tff(28898,plain,
% 136.33/87.02 ($false),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28897, 2030, 2257, 767, 28891, 28890])).
% 136.33/87.02 tff(28899,plain,((~v124(constB81, bitIndex2)) | (~v115(constB81))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.02 tff(28900,plain,
% 136.33/87.02 (~v115(constB81)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28899, 28853])).
% 136.33/87.02 tff(28901,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB81)) | (~v124(constB81, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28902,plain,
% 136.33/87.02 (((~v113(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28903,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB81)) | (~v124(constB81, bitIndex0))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28902])).
% 136.33/87.02 tff(28904,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28903, 28901])).
% 136.33/87.02 tff(28905,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b100(bitIndex0))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28906,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB81)) | (~v124(constB81, bitIndex0))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28905, 28904])).
% 136.33/87.02 tff(28907,plain,
% 136.33/87.02 (~v113(constB81)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28906, 2386, 2186, 795, 28866])).
% 136.33/87.02 tff(28908,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB81)) | (~v124(constB81, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28909,plain,
% 136.33/87.02 (((~v172(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28910,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB81)) | (~v124(constB81, bitIndex0))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28909])).
% 136.33/87.02 tff(28911,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28910, 28908])).
% 136.33/87.02 tff(28912,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b110(bitIndex0))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28913,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB81)) | (~v124(constB81, bitIndex0))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28912, 28911])).
% 136.33/87.02 tff(28914,plain,
% 136.33/87.02 (~v172(constB81)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28913, 1997, 1994, 795, 28866])).
% 136.33/87.02 tff(28915,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB81)) | (~v124(constB81, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28916,plain,
% 136.33/87.02 (((~v145(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28917,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB81)) | (~v124(constB81, bitIndex0))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28916])).
% 136.33/87.02 tff(28918,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB81)) | (~v124(constB81, bitIndex0)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28917, 28915])).
% 136.33/87.02 tff(28919,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB81)) | (~less_3(bitIndex0)) | (~v124(constB81, bitIndex0)) | b010(bitIndex0))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28920,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB81)) | (~v124(constB81, bitIndex0))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28919, 28918])).
% 136.33/87.02 tff(28921,plain,
% 136.33/87.02 (~v145(constB81)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28920, 2299, 1416, 795, 28866])).
% 136.33/87.02 tff(28922,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB81) | v118(constB81) | v172(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB81) | v118(constB81) | v172(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28923,plain,
% 136.33/87.02 ((v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~less_3(bitIndex1)) | (~v124(constB81, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB81) | v118(constB81) | v172(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28924,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~less_3(bitIndex1)) | (~v124(constB81, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB81) | v118(constB81) | v172(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28923])).
% 136.33/87.02 tff(28925,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~less_3(bitIndex1)) | (~v124(constB81, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB81) | v118(constB81) | v172(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28924, 28922])).
% 136.33/87.02 tff(28926,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB81) | v145(constB81) | v115(constB81) | v116(constB81) | v172(constB81) | v118(constB81) | (~less_3(bitIndex1)) | (~v124(constB81, bitIndex1)) | b001(bitIndex1))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28927,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB81) | v118(constB81) | v172(constB81) | v116(constB81) | v115(constB81) | v113(constB81) | (~v124(constB81, bitIndex1))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28926, 28925])).
% 136.33/87.02 tff(28928,plain,
% 136.33/87.02 (v118(constB81)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28927, 2601, 2424, 823, 28921, 28914, 28907, 28900, 28889, 28873])).
% 136.33/87.02 tff(28929,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB81)) | (~v124(constB81, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB81)) | (~v124(constB81, bitIndex2)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28930,plain,
% 136.33/87.02 (((~v118(constB81)) | (~less_3(bitIndex2)) | (~v124(constB81, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB81)) | (~v124(constB81, bitIndex2)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28931,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB81)) | (~less_3(bitIndex2)) | (~v124(constB81, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB81)) | (~v124(constB81, bitIndex2))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28930])).
% 136.33/87.02 tff(28932,plain,
% 136.33/87.02 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB81)) | (~less_3(bitIndex2)) | (~v124(constB81, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB81)) | (~v124(constB81, bitIndex2)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28931, 28929])).
% 136.33/87.02 tff(28933,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB81)) | (~less_3(bitIndex2)) | (~v124(constB81, bitIndex2)) | b011(bitIndex2))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28934,plain,
% 136.33/87.02 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB81)) | (~v124(constB81, bitIndex2))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28933, 28932])).
% 136.33/87.02 tff(28935,plain,
% 136.33/87.02 ($false),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28934, 2030, 2027, 767, 28928, 28853])).
% 136.33/87.02 tff(28936,plain,((~v94(constB82)) | (~v84(constB82, bitIndex2)) | (~v84(constB82, bitIndex1)) | (~v84(constB82, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.02 tff(28937,plain,
% 136.33/87.02 (~v84(constB82, bitIndex0)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28936, 28832, 28804, 28819])).
% 136.33/87.02 tff(28938,plain,
% 136.33/87.02 (v84(constB83, bitIndex0) | (~v84(constB83, bitIndex1))),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28542, 1910, 28613, 28812])).
% 136.33/87.02 tff(28939,plain,
% 136.33/87.02 (v84(constB83, bitIndex0)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28938, 28826])).
% 136.33/87.02 tff(28940,plain,
% 136.33/87.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB82, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB82, bitIndex0))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28941,plain,
% 136.33/87.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB82, bitIndex0))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28942,plain,
% 136.33/87.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB82, constB83)) | v94(constB83) | (~less_3(bitIndex0)) | (~v84(constB83, bitIndex0)) | v84(constB82, bitIndex0)),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28941, 28940])).
% 136.33/87.02 tff(28943,plain,
% 136.33/87.02 ($false),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28942, 805, 795, 28059, 28071, 28939, 28937])).
% 136.33/87.02 tff(28944,plain,(v107(constB83) | (~v94(constB82)) | (~v84(constB84, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.02 tff(28945,plain,
% 136.33/87.02 (~v84(constB84, bitIndex2)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28944, 28384, 28804])).
% 136.33/87.02 tff(28946,plain,
% 136.33/87.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB85, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB85, bitIndex2)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28947,plain,
% 136.33/87.02 (((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | (~v84(constB85, bitIndex2)) | v84(constB84, bitIndex2)) <=> ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB85, bitIndex2)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28948,plain,
% 136.33/87.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | (~v84(constB85, bitIndex2)) | v84(constB84, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB85, bitIndex2))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28947])).
% 136.33/87.02 tff(28949,plain,
% 136.33/87.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | (~v84(constB85, bitIndex2)) | v84(constB84, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB85, bitIndex2)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28948, 28946])).
% 136.33/87.02 tff(28950,plain,
% 136.33/87.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | (~v84(constB85, bitIndex2)) | v84(constB84, bitIndex2))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28951,plain,
% 136.33/87.02 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB84, constB85)) | v94(constB85) | (~less_3(bitIndex2)) | v84(constB84, bitIndex2) | (~v84(constB85, bitIndex2))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28950, 28949])).
% 136.33/87.02 tff(28952,plain,
% 136.33/87.02 ($false),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28951, 805, 767, 28590, 28602, 28675, 28656])).
% 136.33/87.02 tff(28953,plain,((~v84(constB85, bitIndex2)) | v84(constB84, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.02 tff(28954,plain,
% 136.33/87.02 (~v84(constB85, bitIndex2)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28953, 28945])).
% 136.33/87.02 tff(28955,assumption,(~v94(constB88)), introduced(assumption)).
% 136.33/87.02 tff(28956,plain,
% 136.33/87.02 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB89)) | (~v84(constB89, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB89)) | (~v84(constB89, bitIndex1)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28957,plain,
% 136.33/87.02 (((~v84(constB89, bitIndex1)) | (~v145(constB89))) <=> ((~v145(constB89)) | (~v84(constB89, bitIndex1)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28958,plain,
% 136.33/87.02 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB89)) | (~v84(constB89, bitIndex1))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28957])).
% 136.33/87.02 tff(28959,plain,
% 136.33/87.02 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB89)) | (~v84(constB89, bitIndex1)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28958, 28956])).
% 136.33/87.02 tff(28960,plain,
% 136.33/87.02 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v145(constB89)))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28961,plain,
% 136.33/87.02 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB89)) | (~v84(constB89, bitIndex1))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28960, 28959])).
% 136.33/87.02 tff(28962,plain,
% 136.33/87.02 (~v84(constB89, bitIndex1)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28961, 816, 17147])).
% 136.33/87.02 tff(28963,plain,
% 136.33/87.02 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28964,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_88_1')).
% 136.33/87.02 tff(28965,plain,
% 136.33/87.02 (nextState(constB88, constB89)),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28964, 28963])).
% 136.33/87.02 tff(28966,plain,
% 136.33/87.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28967,plain,
% 136.33/87.02 (((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89)) <=> (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28968,plain,
% 136.33/87.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28967])).
% 136.33/87.02 tff(28969,plain,
% 136.33/87.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89)))),
% 136.33/87.02 inference(transitivity,[status(thm)],[28968, 28966])).
% 136.33/87.02 tff(28970,plain,
% 136.33/87.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB88, constB89)) | (~v95(constB89)) | v1(constB89))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28971,plain,
% 136.33/87.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB89) | (~nextState(constB88, constB89)) | (~v95(constB89))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28970, 28969])).
% 136.33/87.02 tff(28972,plain,
% 136.33/87.02 (~v95(constB89)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28971, 742, 28965, 16852])).
% 136.33/87.02 tff(28973,plain,
% 136.33/87.02 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28974,plain,
% 136.33/87.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89)))),
% 136.33/87.02 inference(quant_inst,[status(thm)],[])).
% 136.33/87.02 tff(28975,plain,
% 136.33/87.02 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB88, constB89)) | v95(constB89) | (~v94(constB89))),
% 136.33/87.02 inference(modus_ponens,[status(thm)],[28974, 28973])).
% 136.33/87.02 tff(28976,plain,
% 136.33/87.02 (v95(constB89) | (~v94(constB89))),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28975, 759, 28965])).
% 136.33/87.02 tff(28977,plain,
% 136.33/87.02 (~v94(constB89)),
% 136.33/87.02 inference(unit_resolution,[status(thm)],[28976, 28972])).
% 136.33/87.02 tff(28978,plain,
% 136.33/87.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28979,plain,
% 136.33/87.02 (((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB88, bitIndex1))) <=> ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1))),
% 136.33/87.02 inference(rewrite,[status(thm)],[])).
% 136.33/87.02 tff(28980,plain,
% 136.33/87.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB88, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1)))),
% 136.33/87.02 inference(monotonicity,[status(thm)],[28979])).
% 136.33/87.02 tff(28981,plain,
% 136.33/87.02 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB88, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1))),
% 136.33/87.03 inference(transitivity,[status(thm)],[28980, 28978])).
% 136.33/87.03 tff(28982,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB88, bitIndex1)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(28983,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB89, bitIndex1)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[28982, 28981])).
% 136.33/87.03 tff(28984,plain,
% 136.33/87.03 (~v84(constB88, bitIndex1)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[28983, 777, 823, 28965, 28977, 28962])).
% 136.33/87.03 tff(28985,plain,
% 136.33/87.03 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB89)) | v84(constB89, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB89)) | v84(constB89, bitIndex0))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(28986,plain,
% 136.33/87.03 ((v84(constB89, bitIndex0) | (~v145(constB89))) <=> ((~v145(constB89)) | v84(constB89, bitIndex0))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(28987,plain,
% 136.33/87.03 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB89, bitIndex0) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB89)) | v84(constB89, bitIndex0)))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[28986])).
% 136.33/87.03 tff(28988,plain,
% 136.33/87.03 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB89, bitIndex0) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB89)) | v84(constB89, bitIndex0))),
% 136.33/87.03 inference(transitivity,[status(thm)],[28987, 28985])).
% 136.33/87.03 tff(28989,plain,
% 136.33/87.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB89, bitIndex0) | (~v145(constB89)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(28990,plain,
% 136.33/87.03 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB89)) | v84(constB89, bitIndex0)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[28989, 28988])).
% 136.33/87.03 tff(28991,plain,
% 136.33/87.03 (v84(constB89, bitIndex0)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[28990, 788, 17147])).
% 136.33/87.03 tff(28992,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(28993,plain,
% 136.33/87.03 (((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB88, bitIndex0)) <=> ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(28994,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB88, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0))))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[28993])).
% 136.33/87.03 tff(28995,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB88, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0)))),
% 136.33/87.03 inference(transitivity,[status(thm)],[28994, 28992])).
% 136.33/87.03 tff(28996,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB88, bitIndex0))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(28997,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB89, bitIndex0))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[28996, 28995])).
% 136.33/87.03 tff(28998,plain,
% 136.33/87.03 (v84(constB88, bitIndex0)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[28997, 805, 795, 28965, 28977, 28991])).
% 136.33/87.03 tff(28999,plain,
% 136.33/87.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB89)) | (~v84(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB89)) | (~v84(constB89, bitIndex2)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29000,plain,
% 136.33/87.03 (((~v84(constB89, bitIndex2)) | (~v145(constB89))) <=> ((~v145(constB89)) | (~v84(constB89, bitIndex2)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29001,plain,
% 136.33/87.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex2)) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB89)) | (~v84(constB89, bitIndex2))))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[29000])).
% 136.33/87.03 tff(29002,plain,
% 136.33/87.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex2)) | (~v145(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB89)) | (~v84(constB89, bitIndex2)))),
% 136.33/87.03 inference(transitivity,[status(thm)],[29001, 28999])).
% 136.33/87.03 tff(29003,plain,
% 136.33/87.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB89, bitIndex2)) | (~v145(constB89)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29004,plain,
% 136.33/87.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB89)) | (~v84(constB89, bitIndex2))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29003, 29002])).
% 136.33/87.03 tff(29005,plain,
% 136.33/87.03 (~v84(constB89, bitIndex2)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29004, 725, 17147])).
% 136.33/87.03 tff(29006,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB89, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB89, bitIndex2))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29007,plain,
% 136.33/87.03 (((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB88, bitIndex2))) <=> ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB89, bitIndex2))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29008,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB88, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB89, bitIndex2)))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[29007])).
% 136.33/87.03 tff(29009,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB88, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB89, bitIndex2))),
% 136.33/87.03 inference(transitivity,[status(thm)],[29008, 29006])).
% 136.33/87.03 tff(29010,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB88, bitIndex2)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29011,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB89, bitIndex2)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29010, 29009])).
% 136.33/87.03 tff(29012,plain,
% 136.33/87.03 (~v84(constB88, bitIndex2)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29011, 777, 767, 28965, 28977, 29005])).
% 136.33/87.03 tff(29013,assumption,(~v84(constB88, bitIndex1)), introduced(assumption)).
% 136.33/87.03 tff(29014,plain,
% 136.33/87.03 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29015,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_87_1')).
% 136.33/87.03 tff(29016,plain,
% 136.33/87.03 (nextState(constB87, constB88)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29015, 29014])).
% 136.33/87.03 tff(29017,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB88, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB88, bitIndex1))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29018,plain,
% 136.33/87.03 (((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB87, bitIndex1))) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB88, bitIndex1))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29019,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB87, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB88, bitIndex1)))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[29018])).
% 136.33/87.03 tff(29020,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB87, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB88, bitIndex1))),
% 136.33/87.03 inference(transitivity,[status(thm)],[29019, 29017])).
% 136.33/87.03 tff(29021,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB87, bitIndex1)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29022,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB88, bitIndex1)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29021, 29020])).
% 136.33/87.03 tff(29023,plain,
% 136.33/87.03 (v94(constB88) | (~v84(constB87, bitIndex1))),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29022, 777, 823, 29016, 29013])).
% 136.33/87.03 tff(29024,plain,
% 136.33/87.03 (~v84(constB87, bitIndex1)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29023, 28955])).
% 136.33/87.03 tff(29025,assumption,(~v84(constB88, bitIndex2)), introduced(assumption)).
% 136.33/87.03 tff(29026,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB88, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB88, bitIndex2))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29027,plain,
% 136.33/87.03 (((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB87, bitIndex2))) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB88, bitIndex2))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29028,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB87, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB88, bitIndex2)))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[29027])).
% 136.33/87.03 tff(29029,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB87, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB88, bitIndex2))),
% 136.33/87.03 inference(transitivity,[status(thm)],[29028, 29026])).
% 136.33/87.03 tff(29030,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB87, bitIndex2)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29031,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB88, bitIndex2)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29030, 29029])).
% 136.33/87.03 tff(29032,plain,
% 136.33/87.03 (v94(constB88) | (~v84(constB87, bitIndex2))),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29031, 777, 767, 29016, 29025])).
% 136.33/87.03 tff(29033,plain,
% 136.33/87.03 (~v84(constB87, bitIndex2)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29032, 28955])).
% 136.33/87.03 tff(29034,assumption,(v84(constB88, bitIndex0)), introduced(assumption)).
% 136.33/87.03 tff(29035,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB88, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB88, bitIndex0)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29036,plain,
% 136.33/87.03 (((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB87, bitIndex0)) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB88, bitIndex0)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29037,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB87, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB88, bitIndex0))))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[29036])).
% 136.33/87.03 tff(29038,plain,
% 136.33/87.03 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB87, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB88, bitIndex0)))),
% 136.33/87.03 inference(transitivity,[status(thm)],[29037, 29035])).
% 136.33/87.03 tff(29039,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB87, bitIndex0))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29040,plain,
% 136.33/87.03 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB88, bitIndex0))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29039, 29038])).
% 136.33/87.03 tff(29041,plain,
% 136.33/87.03 (v94(constB88) | v84(constB87, bitIndex0)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29040, 805, 795, 29016, 29034])).
% 136.33/87.03 tff(29042,plain,
% 136.33/87.03 (v84(constB87, bitIndex0)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29041, 28955])).
% 136.33/87.03 tff(29043,plain,
% 136.33/87.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v145(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v145(constB87))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29044,plain,
% 136.33/87.03 (((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87)) <=> (v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v145(constB87))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29045,plain,
% 136.33/87.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v145(constB87)))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[29044])).
% 136.33/87.03 tff(29046,plain,
% 136.33/87.03 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v145(constB87))),
% 136.33/87.03 inference(transitivity,[status(thm)],[29045, 29043])).
% 136.33/87.03 tff(29047,plain,
% 136.33/87.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | v145(constB87))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29048,plain,
% 136.33/87.03 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v145(constB87)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29047, 29046])).
% 136.33/87.03 tff(29049,plain,
% 136.33/87.03 (v145(constB87)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29048, 865, 29042, 29033, 29024])).
% 136.33/87.03 tff(29050,plain,
% 136.33/87.03 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29051,plain,
% 136.33/87.03 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB87) | (~v145(constB87)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29052,plain,
% 136.33/87.03 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB87) | (~v145(constB87))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29051, 29050])).
% 136.33/87.03 tff(29053,plain,
% 136.33/87.03 (v112(constB87)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29052, 713, 29049])).
% 136.33/87.03 tff(29054,plain,
% 136.33/87.03 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB87) | (~v112(constB87)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB87) | (~v112(constB87)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29055,plain,
% 136.33/87.03 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB87) | (~v112(constB87)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29056,plain,
% 136.33/87.03 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB87) | (~v112(constB87))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29055, 29054])).
% 136.33/87.03 tff(29057,plain,
% 136.33/87.03 (v111(constB87)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29056, 702, 29053])).
% 136.33/87.03 tff(29058,plain,
% 136.33/87.03 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB87) | (~v111(constB87)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB87) | (~v111(constB87)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29059,plain,
% 136.33/87.03 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB87) | (~v111(constB87)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29060,plain,
% 136.33/87.03 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB87) | (~v111(constB87))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29059, 29058])).
% 136.33/87.03 tff(29061,plain,
% 136.33/87.03 (v110(constB87)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29060, 691, 29057])).
% 136.33/87.03 tff(29062,plain,
% 136.33/87.03 ((~v1(constB87)) <=> (~v1(constB87))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29063,axiom,(~v1(constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_87_1_1')).
% 136.33/87.03 tff(29064,plain,
% 136.33/87.03 (~v1(constB87)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29063, 29062])).
% 136.33/87.03 tff(29065,plain,
% 136.33/87.03 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29066,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29067,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB87) | (~nextState(constB87, constB88)) | (~v98(constB88))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29066, 29065])).
% 136.33/87.03 tff(29068,plain,
% 136.33/87.03 (~v98(constB88)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29067, 541, 29016, 29064])).
% 136.33/87.03 tff(29069,plain,
% 136.33/87.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29070,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB87, constB88)) | v96(constB88) | v98(constB88))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29071,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB87, constB88)) | v96(constB88) | v98(constB88)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29070, 29069])).
% 136.33/87.03 tff(29072,plain,
% 136.33/87.03 (v96(constB88) | v98(constB88)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29071, 555, 29016])).
% 136.33/87.03 tff(29073,plain,
% 136.33/87.03 (v96(constB88)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29072, 29068])).
% 136.33/87.03 tff(29074,plain,
% 136.33/87.03 (v1(constB88) <=> v1(constB88)),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29075,axiom,(v1(constB88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_88_1')).
% 136.33/87.03 tff(29076,plain,
% 136.33/87.03 (v1(constB88)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29075, 29074])).
% 136.33/87.03 tff(29077,plain,
% 136.33/87.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29078,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88)))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29079,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB87, constB88)) | v95(constB88) | (~v96(constB88)) | (~v1(constB88))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29078, 29077])).
% 136.33/87.03 tff(29080,plain,
% 136.33/87.03 (v95(constB88) | (~v96(constB88))),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29079, 573, 29016, 29076])).
% 136.33/87.03 tff(29081,plain,
% 136.33/87.03 (v95(constB88)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29080, 29073])).
% 136.33/87.03 tff(29082,plain,
% 136.33/87.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29083,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29084,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB87, constB88)) | (~v95(constB88)) | (~v104(constB88)) | v94(constB88)),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29083, 29082])).
% 136.33/87.03 tff(29085,plain,
% 136.33/87.03 ((~v95(constB88)) | (~v104(constB88)) | v94(constB88)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29084, 588, 29016])).
% 136.33/87.03 tff(29086,plain,
% 136.33/87.03 ((~v104(constB88)) | v94(constB88)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29085, 29081])).
% 136.33/87.03 tff(29087,plain,
% 136.33/87.03 (~v104(constB88)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29086, 28955])).
% 136.33/87.03 tff(29088,plain,
% 136.33/87.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29089,plain,
% 136.33/87.03 (((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88)) <=> ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 136.33/87.03 inference(rewrite,[status(thm)],[])).
% 136.33/87.03 tff(29090,plain,
% 136.33/87.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))))),
% 136.33/87.03 inference(monotonicity,[status(thm)],[29089])).
% 136.33/87.03 tff(29091,plain,
% 136.33/87.03 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87)))),
% 136.33/87.03 inference(transitivity,[status(thm)],[29090, 29088])).
% 136.33/87.03 tff(29092,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB87, constB88)) | (~v102(constB87)) | v104(constB88))),
% 136.33/87.03 inference(quant_inst,[status(thm)],[])).
% 136.33/87.03 tff(29093,plain,
% 136.33/87.03 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v102(constB87))),
% 136.33/87.03 inference(modus_ponens,[status(thm)],[29092, 29091])).
% 136.33/87.03 tff(29094,plain,
% 136.33/87.03 (v104(constB88) | (~v102(constB87))),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29093, 604, 29016])).
% 136.33/87.03 tff(29095,plain,
% 136.33/87.03 (~v102(constB87)),
% 136.33/87.03 inference(unit_resolution,[status(thm)],[29094, 29087])).
% 136.33/87.04 tff(29096,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB87) | (~v106(constB87)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB87) | (~v106(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29097,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB87) | (~v106(constB87)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29098,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB87) | (~v106(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29097, 29096])).
% 136.33/87.04 tff(29099,plain,
% 136.33/87.04 (~v106(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29098, 619, 29095])).
% 136.33/87.04 tff(29100,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB87) | (~v26(constB87)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB87) | (~v26(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29101,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB87) | (~v26(constB87)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29102,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB87) | (~v26(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29101, 29100])).
% 136.33/87.04 tff(29103,plain,
% 136.33/87.04 (~v26(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29102, 630, 29095])).
% 136.33/87.04 tff(29104,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29105,plain,
% 136.33/87.04 ((v26(constB87) | (~v107(constB87)) | v106(constB87)) <=> (v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29106,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | v106(constB87) | (~v107(constB87))))),
% 136.33/87.04 inference(monotonicity,[status(thm)],[29105])).
% 136.33/87.04 tff(29107,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87)))),
% 136.33/87.04 inference(transitivity,[status(thm)],[29106, 29104])).
% 136.33/87.04 tff(29108,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB87) | (~v107(constB87)) | v106(constB87))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29109,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB87) | v106(constB87) | (~v107(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29108, 29107])).
% 136.33/87.04 tff(29110,plain,
% 136.33/87.04 (~v107(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29109, 644, 29103, 29099])).
% 136.33/87.04 tff(29111,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB87) | (~v108(constB87)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB87) | (~v108(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29112,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB87) | (~v108(constB87)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29113,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB87) | (~v108(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29112, 29111])).
% 136.33/87.04 tff(29114,plain,
% 136.33/87.04 (~v108(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29113, 658, 29110])).
% 136.33/87.04 tff(29115,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB87) | (~v109(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB87) | (~v109(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29116,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB87) | (~v109(constB87)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29117,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB87) | (~v109(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29116, 29115])).
% 136.33/87.04 tff(29118,plain,
% 136.33/87.04 (~v109(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29117, 669, 29114])).
% 136.33/87.04 tff(29119,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB87) | (~v110(constB87)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB87) | (~v110(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29120,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB87) | (~v110(constB87)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29121,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB87) | (~v110(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29120, 29119])).
% 136.33/87.04 tff(29122,plain,
% 136.33/87.04 ($false),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29121, 680, 29118, 29061])).
% 136.33/87.04 tff(29123,plain,(v94(constB88) | v84(constB88, bitIndex1) | v84(constB88, bitIndex2) | (~v84(constB88, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.04 tff(29124,plain,
% 136.33/87.04 ($false),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29123, 29012, 28998, 28955, 28984])).
% 136.33/87.04 tff(29125,plain,((~v145(constB89)) | v94(constB88)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.04 tff(29126,plain,
% 136.33/87.04 (~v145(constB89)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29125, 28955])).
% 136.33/87.04 tff(29127,plain,
% 136.33/87.04 ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex1) | v84(constB89, bitIndex2)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[16948, 865, 29126])).
% 136.33/87.04 tff(29128,plain,
% 136.33/87.04 (~v84(constB89, bitIndex0)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29127, 16942, 16939])).
% 136.33/87.04 tff(29129,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB89, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB89, bitIndex0))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29130,plain,
% 136.33/87.04 (((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB88, bitIndex0))) <=> ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB89, bitIndex0))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29131,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB88, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB89, bitIndex0)))),
% 136.33/87.04 inference(monotonicity,[status(thm)],[29130])).
% 136.33/87.04 tff(29132,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB88, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB89, bitIndex0))),
% 136.33/87.04 inference(transitivity,[status(thm)],[29131, 29129])).
% 136.33/87.04 tff(29133,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB88, bitIndex0)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29134,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex0)) | (~v84(constB88, bitIndex0)) | v84(constB89, bitIndex0)),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29133, 29132])).
% 136.33/87.04 tff(29135,plain,
% 136.33/87.04 (~v84(constB88, bitIndex0)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29134, 777, 795, 28965, 28977, 29128])).
% 136.33/87.04 tff(29136,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB87, bitIndex0)) | v84(constB88, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB87, bitIndex0)) | v84(constB88, bitIndex0))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29137,plain,
% 136.33/87.04 (((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB87, bitIndex0))) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB87, bitIndex0)) | v84(constB88, bitIndex0))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29138,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB87, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB87, bitIndex0)) | v84(constB88, bitIndex0)))),
% 136.33/87.04 inference(monotonicity,[status(thm)],[29137])).
% 136.33/87.04 tff(29139,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB87, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB87, bitIndex0)) | v84(constB88, bitIndex0))),
% 136.33/87.04 inference(transitivity,[status(thm)],[29138, 29136])).
% 136.33/87.04 tff(29140,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v84(constB87, bitIndex0)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29141,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex0)) | (~v84(constB87, bitIndex0)) | v84(constB88, bitIndex0)),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29140, 29139])).
% 136.33/87.04 tff(29142,plain,
% 136.33/87.04 (~v84(constB87, bitIndex0)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29141, 777, 795, 29016, 28955, 29135])).
% 136.33/87.04 tff(29143,plain,
% 136.33/87.04 (~v84(constB88, bitIndex2)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29011, 777, 767, 28965, 28977, 16942])).
% 136.33/87.04 tff(29144,plain,
% 136.33/87.04 (~v84(constB87, bitIndex2)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29031, 777, 767, 29016, 28955, 29143])).
% 136.33/87.04 tff(29145,plain,
% 136.33/87.04 (~v84(constB88, bitIndex1)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[28983, 777, 823, 28965, 28977, 16939])).
% 136.33/87.04 tff(29146,plain,
% 136.33/87.04 (~v84(constB87, bitIndex1)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29022, 777, 823, 29016, 28955, 29145])).
% 136.33/87.04 tff(29147,plain,
% 136.33/87.04 (~v110(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29121, 680, 29118])).
% 136.33/87.04 tff(29148,plain,
% 136.33/87.04 (~v111(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29060, 691, 29147])).
% 136.33/87.04 tff(29149,plain,
% 136.33/87.04 (~v112(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29056, 702, 29148])).
% 136.33/87.04 tff(29150,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB87) | (~v113(constB87)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB87) | (~v113(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29151,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB87) | (~v113(constB87)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29152,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB87) | (~v113(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29151, 29150])).
% 136.33/87.04 tff(29153,plain,
% 136.33/87.04 (~v113(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29152, 969, 29149])).
% 136.33/87.04 tff(29154,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29155,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29156,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB87) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2)),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29155, 29154])).
% 136.33/87.04 tff(29157,plain,
% 136.33/87.04 (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | v84(constB87, bitIndex2)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29156, 983, 29153])).
% 136.33/87.04 tff(29158,plain,
% 136.33/87.04 ($false),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29157, 29146, 29144, 29142])).
% 136.33/87.04 tff(29159,plain,(v84(constB89, bitIndex2) | v94(constB88) | v84(constB89, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.04 tff(29160,plain,
% 136.33/87.04 (v84(constB89, bitIndex2)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29159, 16939, 28955])).
% 136.33/87.04 tff(29161,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29162,plain,
% 136.33/87.04 (((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB88, bitIndex2)) <=> ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29163,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB88, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2))))),
% 136.33/87.04 inference(monotonicity,[status(thm)],[29162])).
% 136.33/87.04 tff(29164,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB88, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2)))),
% 136.33/87.04 inference(transitivity,[status(thm)],[29163, 29161])).
% 136.33/87.04 tff(29165,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB88, bitIndex2))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29166,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v84(constB89, bitIndex2))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29165, 29164])).
% 136.33/87.04 tff(29167,plain,
% 136.33/87.04 (v84(constB88, bitIndex2)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29166, 805, 767, 28965, 28977, 29160])).
% 136.33/87.04 tff(29168,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB88, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB88, bitIndex2)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29169,plain,
% 136.33/87.04 (((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB87, bitIndex2)) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB88, bitIndex2)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29170,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB87, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB88, bitIndex2))))),
% 136.33/87.04 inference(monotonicity,[status(thm)],[29169])).
% 136.33/87.04 tff(29171,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB87, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB88, bitIndex2)))),
% 136.33/87.04 inference(transitivity,[status(thm)],[29170, 29168])).
% 136.33/87.04 tff(29172,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | (~v84(constB88, bitIndex2)) | v84(constB87, bitIndex2))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29173,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB88, bitIndex2))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29172, 29171])).
% 136.33/87.04 tff(29174,plain,
% 136.33/87.04 (v84(constB87, bitIndex2)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29173, 805, 767, 29016, 28955, 29167])).
% 136.33/87.04 tff(29175,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB87) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB87) | (~v118(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29176,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB87) | (~v118(constB87)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29177,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB87) | (~v118(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29176, 29175])).
% 136.33/87.04 tff(29178,plain,
% 136.33/87.04 (~v118(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29177, 1004, 29114])).
% 136.33/87.04 tff(29179,plain,
% 136.33/87.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87) | (~v84(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87) | (~v84(constB87, bitIndex0)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29180,plain,
% 136.33/87.04 (((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87)) <=> (v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87) | (~v84(constB87, bitIndex0)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29181,plain,
% 136.33/87.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87) | (~v84(constB87, bitIndex0))))),
% 136.33/87.04 inference(monotonicity,[status(thm)],[29180])).
% 136.33/87.04 tff(29182,plain,
% 136.33/87.04 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87) | (~v84(constB87, bitIndex0)))),
% 136.33/87.04 inference(transitivity,[status(thm)],[29181, 29179])).
% 136.33/87.04 tff(29183,plain,
% 136.33/87.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB87, bitIndex0)) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29184,plain,
% 136.33/87.04 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v118(constB87) | (~v84(constB87, bitIndex0))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29183, 29182])).
% 136.33/87.04 tff(29185,plain,
% 136.33/87.04 (v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | (~v84(constB87, bitIndex0))),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29184, 1018, 29178])).
% 136.33/87.04 tff(29186,plain,
% 136.33/87.04 (~v84(constB87, bitIndex0)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29185, 29146, 29174])).
% 136.33/87.04 tff(29187,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB87) | (~v172(constB87)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB87) | (~v172(constB87)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29188,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB87) | (~v172(constB87)))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29189,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB87) | (~v172(constB87))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29188, 29187])).
% 136.33/87.04 tff(29190,plain,
% 136.33/87.04 (~v172(constB87)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29189, 1033, 29118])).
% 136.33/87.04 tff(29191,plain,
% 136.33/87.04 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29192,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29193,plain,
% 136.33/87.04 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2)) | v172(constB87)),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29192, 29191])).
% 136.33/87.04 tff(29194,plain,
% 136.33/87.04 (v84(constB87, bitIndex0) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2))),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29193, 1047, 29190])).
% 136.33/87.04 tff(29195,plain,
% 136.33/87.04 ($false),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29194, 29186, 29146, 29174])).
% 136.33/87.04 tff(29196,plain,(v84(constB89, bitIndex1) | v94(constB88)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.04 tff(29197,plain,
% 136.33/87.04 (v84(constB89, bitIndex1)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29196, 28955])).
% 136.33/87.04 tff(29198,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB89, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB89, bitIndex1)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29199,plain,
% 136.33/87.04 (((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB88, bitIndex1)) <=> ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB89, bitIndex1)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29200,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB88, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB89, bitIndex1))))),
% 136.33/87.04 inference(monotonicity,[status(thm)],[29199])).
% 136.33/87.04 tff(29201,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB88, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB89, bitIndex1)))),
% 136.33/87.04 inference(transitivity,[status(thm)],[29200, 29198])).
% 136.33/87.04 tff(29202,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | (~v84(constB89, bitIndex1)) | v84(constB88, bitIndex1))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.04 tff(29203,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB88, constB89)) | v94(constB89) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v84(constB89, bitIndex1))),
% 136.33/87.04 inference(modus_ponens,[status(thm)],[29202, 29201])).
% 136.33/87.04 tff(29204,plain,
% 136.33/87.04 (v84(constB88, bitIndex1)),
% 136.33/87.04 inference(unit_resolution,[status(thm)],[29203, 805, 823, 28965, 28977, 29197])).
% 136.33/87.04 tff(29205,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB88, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB88, bitIndex1)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29206,plain,
% 136.33/87.04 (((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB87, bitIndex1)) <=> ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB88, bitIndex1)))),
% 136.33/87.04 inference(rewrite,[status(thm)],[])).
% 136.33/87.04 tff(29207,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB87, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB88, bitIndex1))))),
% 136.33/87.04 inference(monotonicity,[status(thm)],[29206])).
% 136.33/87.04 tff(29208,plain,
% 136.33/87.04 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB87, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB88, bitIndex1)))),
% 136.33/87.04 inference(transitivity,[status(thm)],[29207, 29205])).
% 136.33/87.04 tff(29209,plain,
% 136.33/87.04 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | (~v84(constB88, bitIndex1)) | v84(constB87, bitIndex1))),
% 136.33/87.04 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29210,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB87, constB88)) | v94(constB88) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB88, bitIndex1))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29209, 29208])).
% 136.33/87.05 tff(29211,plain,
% 136.33/87.05 (v84(constB87, bitIndex1)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29210, 805, 823, 29016, 28955, 29204])).
% 136.33/87.05 tff(29212,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB87) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB87) | (~v115(constB87)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29213,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB87) | (~v115(constB87)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29214,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB87) | (~v115(constB87))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29213, 29212])).
% 136.33/87.05 tff(29215,plain,
% 136.33/87.05 (~v115(constB87)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29214, 945, 29148])).
% 136.33/87.05 tff(29216,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB87) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB87) | (~v116(constB87)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29217,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB87) | (~v116(constB87)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29218,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB87) | (~v116(constB87))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29217, 29216])).
% 136.33/87.05 tff(29219,plain,
% 136.33/87.05 (~v116(constB87)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29218, 934, 29147])).
% 136.33/87.05 tff(29220,assumption,(v84(constB87, bitIndex1)), introduced(assumption)).
% 136.33/87.05 tff(29221,assumption,(~v84(constB87, bitIndex2)), introduced(assumption)).
% 136.33/87.05 tff(29222,assumption,(~v115(constB87)), introduced(assumption)).
% 136.33/87.05 tff(29223,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v115(constB87))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v115(constB87))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29224,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v115(constB87))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29225,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v115(constB87)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29224, 29223])).
% 136.33/87.05 tff(29226,plain,
% 136.33/87.05 (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29225, 1095, 29222])).
% 136.33/87.05 tff(29227,plain,
% 136.33/87.05 (v84(constB87, bitIndex0)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29226, 29221, 29220])).
% 136.33/87.05 tff(29228,assumption,(~v116(constB87)), introduced(assumption)).
% 136.33/87.05 tff(29229,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v116(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v116(constB87))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29230,plain,
% 136.33/87.05 (((~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v116(constB87)) <=> ((~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v116(constB87))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29231,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v116(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v116(constB87)))),
% 136.33/87.05 inference(monotonicity,[status(thm)],[29230])).
% 136.33/87.05 tff(29232,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v116(constB87))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v116(constB87))),
% 136.33/87.05 inference(transitivity,[status(thm)],[29231, 29229])).
% 136.33/87.05 tff(29233,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB87, bitIndex0)) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | v116(constB87))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29234,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)) | v116(constB87)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29233, 29232])).
% 136.33/87.05 tff(29235,plain,
% 136.33/87.05 ((~v84(constB87, bitIndex1)) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0))),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29234, 1076, 29228])).
% 136.33/87.05 tff(29236,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29235, 29227, 29221, 29220])).
% 136.33/87.05 tff(29237,plain,(v84(constB87, bitIndex2) | (~v84(constB87, bitIndex1)) | v116(constB87) | v115(constB87)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29238,plain,
% 136.33/87.05 (v84(constB87, bitIndex2)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29237, 29211, 29219, 29215])).
% 136.33/87.05 tff(29239,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB87) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB87) | (~v119(constB87)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29240,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB87) | (~v119(constB87)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29241,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB87) | (~v119(constB87))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29240, 29239])).
% 136.33/87.05 tff(29242,plain,
% 136.33/87.05 (~v119(constB87)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29241, 1927, 29110])).
% 136.33/87.05 tff(29243,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB87) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB87) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29244,plain,
% 136.33/87.05 ((v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2)) | v119(constB87)) <=> (v119(constB87) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29245,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2)) | v119(constB87))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB87) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2))))),
% 136.33/87.05 inference(monotonicity,[status(thm)],[29244])).
% 136.33/87.05 tff(29246,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2)) | v119(constB87))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB87) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2)))),
% 136.33/87.05 inference(transitivity,[status(thm)],[29245, 29243])).
% 136.33/87.05 tff(29247,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2)) | v119(constB87))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29248,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB87) | v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29247, 29246])).
% 136.33/87.05 tff(29249,plain,
% 136.33/87.05 (v84(constB87, bitIndex0) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2))),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29248, 1910, 29242])).
% 136.33/87.05 tff(29250,plain,
% 136.33/87.05 (v84(constB87, bitIndex0)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29249, 29238, 29211])).
% 136.33/87.05 tff(29251,assumption,(~v84(constB88, bitIndex0)), introduced(assumption)).
% 136.33/87.05 tff(29252,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29141, 777, 795, 29016, 28955, 29251, 29250])).
% 136.33/87.05 tff(29253,plain,(v84(constB88, bitIndex0) | v94(constB88)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29254,plain,
% 136.33/87.05 (v84(constB88, bitIndex0)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29253, 28955])).
% 136.33/87.05 tff(29255,assumption,(~v84(constB89, bitIndex0)), introduced(assumption)).
% 136.33/87.05 tff(29256,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29134, 777, 795, 28965, 28977, 29034, 29255])).
% 136.33/87.05 tff(29257,plain,(v84(constB89, bitIndex0) | (~v84(constB88, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29258,plain,
% 136.33/87.05 (v84(constB89, bitIndex0)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29257, 29254])).
% 136.33/87.05 tff(29259,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB89)) | (~v84(constB89, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB89)) | (~v84(constB89, bitIndex1)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29260,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB89)) | (~v84(constB89, bitIndex1)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29261,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB89)) | (~v84(constB89, bitIndex1))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29260, 29259])).
% 136.33/87.05 tff(29262,plain,
% 136.33/87.05 (~v113(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29261, 1465, 29197])).
% 136.33/87.05 tff(29263,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB89) | v113(constB89) | (~v112(constB89)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB89) | v113(constB89) | (~v112(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29264,plain,
% 136.33/87.05 ((v113(constB89) | (~v112(constB89)) | v145(constB89)) <=> (v145(constB89) | v113(constB89) | (~v112(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29265,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB89) | (~v112(constB89)) | v145(constB89))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB89) | v113(constB89) | (~v112(constB89))))),
% 136.33/87.05 inference(monotonicity,[status(thm)],[29264])).
% 136.33/87.05 tff(29266,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB89) | (~v112(constB89)) | v145(constB89))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB89) | v113(constB89) | (~v112(constB89)))),
% 136.33/87.05 inference(transitivity,[status(thm)],[29265, 29263])).
% 136.33/87.05 tff(29267,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB89) | (~v112(constB89)) | v145(constB89))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29268,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB89) | v113(constB89) | (~v112(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29267, 29266])).
% 136.33/87.05 tff(29269,plain,
% 136.33/87.05 (v113(constB89) | (~v112(constB89))),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29268, 2894, 29126])).
% 136.33/87.05 tff(29270,plain,
% 136.33/87.05 (~v112(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29269, 29262])).
% 136.33/87.05 tff(29271,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v172(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB89, bitIndex1)) | (~v172(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29272,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v172(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29273,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB89, bitIndex1)) | (~v172(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29272, 29271])).
% 136.33/87.05 tff(29274,plain,
% 136.33/87.05 (~v172(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29273, 2289, 29197])).
% 136.33/87.05 tff(29275,assumption,(v107(constB89)), introduced(assumption)).
% 136.33/87.05 tff(29276,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v118(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB89, bitIndex1)) | (~v118(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29277,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB89, bitIndex1)) | (~v118(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29278,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB89, bitIndex1)) | (~v118(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29277, 29276])).
% 136.33/87.05 tff(29279,plain,
% 136.33/87.05 (~v118(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29278, 2842, 29197])).
% 136.33/87.05 tff(29280,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29031, 777, 767, 29016, 28955, 29025, 29238])).
% 136.33/87.05 tff(29281,plain,(v84(constB88, bitIndex2) | v94(constB88)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29282,plain,
% 136.33/87.05 (v84(constB88, bitIndex2)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29281, 28955])).
% 136.33/87.05 tff(29283,assumption,(v84(constB88, bitIndex2)), introduced(assumption)).
% 136.33/87.05 tff(29284,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29011, 777, 767, 28965, 28977, 16942, 29283])).
% 136.33/87.05 tff(29285,plain,(v84(constB89, bitIndex2) | (~v84(constB88, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29286,plain,
% 136.33/87.05 (v84(constB89, bitIndex2)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29285, 29282])).
% 136.33/87.05 tff(29287,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB89, bitIndex2)) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB89, bitIndex2)) | (~v116(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29288,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB89, bitIndex2)) | (~v116(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29289,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB89, bitIndex2)) | (~v116(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29288, 29287])).
% 136.33/87.05 tff(29290,plain,
% 136.33/87.05 (~v116(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29289, 1130, 29286])).
% 136.33/87.05 tff(29291,assumption,(~v111(constB89)), introduced(assumption)).
% 136.33/87.05 tff(29292,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB89) | v116(constB89) | (~v110(constB89)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB89) | v116(constB89) | (~v110(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29293,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB89) | v116(constB89) | (~v110(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29294,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB89) | v116(constB89) | (~v110(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29293, 29292])).
% 136.33/87.05 tff(29295,plain,
% 136.33/87.05 (v116(constB89) | (~v110(constB89))),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29294, 2932, 29291])).
% 136.33/87.05 tff(29296,plain,
% 136.33/87.05 (~v110(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29295, 29290])).
% 136.33/87.05 tff(29297,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB89, bitIndex0)) | (~v119(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB89, bitIndex0)) | (~v119(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29298,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB89, bitIndex0)) | (~v119(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29299,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB89, bitIndex0)) | (~v119(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29298, 29297])).
% 136.33/87.05 tff(29300,plain,
% 136.33/87.05 (~v119(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29299, 3173, 29258])).
% 136.33/87.05 tff(29301,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB89) | v119(constB89) | (~v107(constB89)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB89) | v119(constB89) | (~v107(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29302,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB89) | v119(constB89) | (~v107(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29303,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB89) | v119(constB89) | (~v107(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29302, 29301])).
% 136.33/87.05 tff(29304,plain,
% 136.33/87.05 (v108(constB89) | v119(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29303, 3195, 29275])).
% 136.33/87.05 tff(29305,plain,
% 136.33/87.05 (v108(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29304, 29300])).
% 136.33/87.05 tff(29306,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB89) | v118(constB89) | (~v108(constB89)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB89) | v118(constB89) | (~v108(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29307,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB89) | v118(constB89) | (~v108(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29308,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB89) | v118(constB89) | (~v108(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29307, 29306])).
% 136.33/87.05 tff(29309,plain,
% 136.33/87.05 (v109(constB89) | (~v108(constB89))),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29308, 2856, 16958])).
% 136.33/87.05 tff(29310,plain,
% 136.33/87.05 (v109(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29309, 29305])).
% 136.33/87.05 tff(29311,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB89)) | v172(constB89) | v110(constB89))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB89)) | v172(constB89) | v110(constB89))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29312,plain,
% 136.33/87.05 ((v110(constB89) | (~v109(constB89)) | v172(constB89)) <=> ((~v109(constB89)) | v172(constB89) | v110(constB89))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29313,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB89) | (~v109(constB89)) | v172(constB89))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB89)) | v172(constB89) | v110(constB89)))),
% 136.33/87.05 inference(monotonicity,[status(thm)],[29312])).
% 136.33/87.05 tff(29314,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB89) | (~v109(constB89)) | v172(constB89))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB89)) | v172(constB89) | v110(constB89))),
% 136.33/87.05 inference(transitivity,[status(thm)],[29313, 29311])).
% 136.33/87.05 tff(29315,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB89) | (~v109(constB89)) | v172(constB89))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29316,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB89)) | v172(constB89) | v110(constB89)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29315, 29314])).
% 136.33/87.05 tff(29317,plain,
% 136.33/87.05 ((~v109(constB89)) | v110(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29316, 2871, 16964])).
% 136.33/87.05 tff(29318,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29317, 29310, 29296])).
% 136.33/87.05 tff(29319,plain,(v94(constB88) | v172(constB89) | v118(constB89) | v111(constB89) | (~v107(constB89))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29320,plain,
% 136.33/87.05 (v111(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29319, 29279, 29275, 28955, 29274])).
% 136.33/87.05 tff(29321,plain,
% 136.33/87.05 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB89) | v115(constB89) | (~v111(constB89)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB89) | v115(constB89) | (~v111(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29322,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB89) | v115(constB89) | (~v111(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29323,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB89) | v115(constB89) | (~v111(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29322, 29321])).
% 136.33/87.05 tff(29324,plain,
% 136.33/87.05 (v115(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29323, 2911, 29320, 29270])).
% 136.33/87.05 tff(29325,plain,
% 136.33/87.05 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB89, bitIndex0)) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB89, bitIndex0)) | (~v115(constB89)))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29326,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB89, bitIndex0)) | (~v115(constB89)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29327,plain,
% 136.33/87.05 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB89, bitIndex0)) | (~v115(constB89))),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29326, 29325])).
% 136.33/87.05 tff(29328,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29327, 3011, 29324, 29258])).
% 136.33/87.05 tff(29329,plain,(v94(constB88) | (~v107(constB89))), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29330,plain,
% 136.33/87.05 (~v107(constB89)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29329, 28955])).
% 136.33/87.05 tff(29331,assumption,(~v84(constB87, bitIndex1)), introduced(assumption)).
% 136.33/87.05 tff(29332,assumption,(v84(constB88, bitIndex1)), introduced(assumption)).
% 136.33/87.05 tff(29333,plain,
% 136.33/87.05 (v94(constB88) | v84(constB87, bitIndex1)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29210, 805, 823, 29016, 29332])).
% 136.33/87.05 tff(29334,plain,
% 136.33/87.05 (v94(constB88)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29333, 29331])).
% 136.33/87.05 tff(29335,plain,
% 136.33/87.05 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB88)) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB88)) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29336,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB88)) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29337,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB88)) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29336, 29335])).
% 136.33/87.05 tff(29338,plain,
% 136.33/87.05 ((~v94(constB88)) | v123(constB88, bitIndex2)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29337, 1344, 767, 29283])).
% 136.33/87.05 tff(29339,plain,
% 136.33/87.05 (v123(constB88, bitIndex2)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29338, 29334])).
% 136.33/87.05 tff(29340,plain,
% 136.33/87.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex2)) | (~v123(constB88, bitIndex2)) | v121(constB87, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex2)) | (~v123(constB88, bitIndex2)) | v121(constB87, bitIndex2))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29341,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex2)) | (~v123(constB88, bitIndex2)) | v121(constB87, bitIndex2))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29342,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex2)) | (~v123(constB88, bitIndex2)) | v121(constB87, bitIndex2)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29341, 29340])).
% 136.33/87.05 tff(29343,plain,
% 136.33/87.05 (v121(constB87, bitIndex2)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29342, 1362, 767, 29016, 29339])).
% 136.33/87.05 tff(29344,assumption,(v26(constB87)), introduced(assumption)).
% 136.33/87.05 tff(29345,plain,
% 136.33/87.05 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29346,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29345, 1172, 29344])).
% 136.33/87.05 tff(29347,plain,(~v26(constB87)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29348,plain,
% 136.33/87.05 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29349,plain,
% 136.33/87.05 ((v26(constB87) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2))) <=> (v26(constB87) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29350,plain,
% 136.33/87.05 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2)))),
% 136.33/87.05 inference(monotonicity,[status(thm)],[29349])).
% 136.33/87.05 tff(29351,plain,
% 136.33/87.05 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2))),
% 136.33/87.05 inference(transitivity,[status(thm)],[29350, 29348])).
% 136.33/87.05 tff(29352,plain,
% 136.33/87.05 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~v121(constB87, bitIndex2)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29353,plain,
% 136.33/87.05 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29352, 29351])).
% 136.33/87.05 tff(29354,plain,
% 136.33/87.05 (v124(constB87, bitIndex2)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29353, 1380, 767, 29347, 29343])).
% 136.33/87.05 tff(29355,plain,
% 136.33/87.05 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB88)) | (~v84(constB88, bitIndex1)) | v123(constB88, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB88)) | (~v84(constB88, bitIndex1)) | v123(constB88, bitIndex1))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29356,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB88)) | (~v84(constB88, bitIndex1)) | v123(constB88, bitIndex1))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29357,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB88)) | (~v84(constB88, bitIndex1)) | v123(constB88, bitIndex1)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29356, 29355])).
% 136.33/87.05 tff(29358,plain,
% 136.33/87.05 ((~v94(constB88)) | v123(constB88, bitIndex1)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29357, 1344, 823, 29332])).
% 136.33/87.05 tff(29359,plain,
% 136.33/87.05 (v123(constB88, bitIndex1)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29358, 29334])).
% 136.33/87.05 tff(29360,assumption,(v123(constB88, bitIndex1)), introduced(assumption)).
% 136.33/87.05 tff(29361,assumption,(~v121(constB87, bitIndex1)), introduced(assumption)).
% 136.33/87.05 tff(29362,plain,
% 136.33/87.05 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex1)) | (~v123(constB88, bitIndex1)) | v121(constB87, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex1)) | (~v123(constB88, bitIndex1)) | v121(constB87, bitIndex1))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29363,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex1)) | (~v123(constB88, bitIndex1)) | v121(constB87, bitIndex1))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29364,plain,
% 136.33/87.05 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex1)) | (~v123(constB88, bitIndex1)) | v121(constB87, bitIndex1)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29363, 29362])).
% 136.33/87.05 tff(29365,plain,
% 136.33/87.05 ($false),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29364, 1362, 823, 29016, 29361, 29360])).
% 136.33/87.05 tff(29366,plain,((~v123(constB88, bitIndex1)) | v121(constB87, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.33/87.05 tff(29367,plain,
% 136.33/87.05 (v121(constB87, bitIndex1)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29366, 29359])).
% 136.33/87.05 tff(29368,plain,
% 136.33/87.05 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex1)) | (~v121(constB87, bitIndex1)) | v124(constB87, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex1)) | (~v121(constB87, bitIndex1)) | v124(constB87, bitIndex1))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29369,plain,
% 136.33/87.05 ((v26(constB87) | (~less_3(bitIndex1)) | v124(constB87, bitIndex1) | (~v121(constB87, bitIndex1))) <=> (v26(constB87) | (~less_3(bitIndex1)) | (~v121(constB87, bitIndex1)) | v124(constB87, bitIndex1))),
% 136.33/87.05 inference(rewrite,[status(thm)],[])).
% 136.33/87.05 tff(29370,plain,
% 136.33/87.05 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex1)) | v124(constB87, bitIndex1) | (~v121(constB87, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex1)) | (~v121(constB87, bitIndex1)) | v124(constB87, bitIndex1)))),
% 136.33/87.05 inference(monotonicity,[status(thm)],[29369])).
% 136.33/87.05 tff(29371,plain,
% 136.33/87.05 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex1)) | v124(constB87, bitIndex1) | (~v121(constB87, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex1)) | (~v121(constB87, bitIndex1)) | v124(constB87, bitIndex1))),
% 136.33/87.05 inference(transitivity,[status(thm)],[29370, 29368])).
% 136.33/87.05 tff(29372,plain,
% 136.33/87.05 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex1)) | v124(constB87, bitIndex1) | (~v121(constB87, bitIndex1)))),
% 136.33/87.05 inference(quant_inst,[status(thm)],[])).
% 136.33/87.05 tff(29373,plain,
% 136.33/87.05 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex1)) | (~v121(constB87, bitIndex1)) | v124(constB87, bitIndex1)),
% 136.33/87.05 inference(modus_ponens,[status(thm)],[29372, 29371])).
% 136.33/87.05 tff(29374,plain,
% 136.33/87.05 (v124(constB87, bitIndex1)),
% 136.33/87.05 inference(unit_resolution,[status(thm)],[29373, 1380, 823, 29347, 29367])).
% 136.33/87.05 tff(29375,plain,
% 136.33/87.05 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB87)) | (~v124(constB87, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB87)) | (~v124(constB87, bitIndex1)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29376,plain,
% 136.33/87.06 (((~v113(constB87)) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB87)) | (~v124(constB87, bitIndex1)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29377,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB87)) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB87)) | (~v124(constB87, bitIndex1))))),
% 136.33/87.06 inference(monotonicity,[status(thm)],[29376])).
% 136.33/87.06 tff(29378,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB87)) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB87)) | (~v124(constB87, bitIndex1)))),
% 136.33/87.06 inference(transitivity,[status(thm)],[29377, 29375])).
% 136.33/87.06 tff(29379,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB87)) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b100(bitIndex1))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29380,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB87)) | (~v124(constB87, bitIndex1))),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29379, 29378])).
% 136.33/87.06 tff(29381,plain,
% 136.33/87.06 (~v113(constB87)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29380, 2167, 2186, 823, 29374])).
% 136.33/87.06 tff(29382,plain,
% 136.33/87.06 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB88)) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB88)) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29383,plain,
% 136.33/87.06 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB88)) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29384,plain,
% 136.33/87.06 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB88)) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0)),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29383, 29382])).
% 136.33/87.06 tff(29385,plain,
% 136.33/87.06 ((~v94(constB88)) | v123(constB88, bitIndex0)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29384, 1344, 795, 29034])).
% 136.33/87.06 tff(29386,plain,
% 136.33/87.06 (v123(constB88, bitIndex0)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29385, 29334])).
% 136.33/87.06 tff(29387,plain,
% 136.33/87.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex0)) | (~v123(constB88, bitIndex0)) | v121(constB87, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex0)) | (~v123(constB88, bitIndex0)) | v121(constB87, bitIndex0))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29388,plain,
% 136.33/87.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex0)) | (~v123(constB88, bitIndex0)) | v121(constB87, bitIndex0))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29389,plain,
% 136.33/87.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex0)) | (~v123(constB88, bitIndex0)) | v121(constB87, bitIndex0)),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29388, 29387])).
% 136.33/87.06 tff(29390,plain,
% 136.33/87.06 (v121(constB87, bitIndex0)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29389, 1362, 795, 29016, 29386])).
% 136.33/87.06 tff(29391,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex0)) | (~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex0)) | (~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29392,plain,
% 136.33/87.06 ((v26(constB87) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0))) <=> (v26(constB87) | (~less_3(bitIndex0)) | (~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29393,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex0)) | (~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0)))),
% 136.33/87.06 inference(monotonicity,[status(thm)],[29392])).
% 136.33/87.06 tff(29394,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex0)) | (~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0))),
% 136.33/87.06 inference(transitivity,[status(thm)],[29393, 29391])).
% 136.33/87.06 tff(29395,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~v121(constB87, bitIndex0)))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29396,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex0)) | (~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0)),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29395, 29394])).
% 136.33/87.06 tff(29397,plain,
% 136.33/87.06 (v124(constB87, bitIndex0)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29396, 1380, 795, 29347, 29390])).
% 136.33/87.06 tff(29398,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB87)) | (~v124(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29399,plain,
% 136.33/87.06 (((~v172(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29400,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB87)) | (~v124(constB87, bitIndex0))))),
% 136.33/87.06 inference(monotonicity,[status(thm)],[29399])).
% 136.33/87.06 tff(29401,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.33/87.06 inference(transitivity,[status(thm)],[29400, 29398])).
% 136.33/87.06 tff(29402,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b110(bitIndex0))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29403,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB87)) | (~v124(constB87, bitIndex0))),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29402, 29401])).
% 136.33/87.06 tff(29404,plain,
% 136.33/87.06 (~v172(constB87)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29403, 1997, 1994, 795, 29397])).
% 136.33/87.06 tff(29405,plain,
% 136.33/87.06 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB87, bitIndex1) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB87, bitIndex1) | (~v115(constB87)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29406,plain,
% 136.33/87.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB87, bitIndex1) | (~v115(constB87)))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29407,plain,
% 136.33/87.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB87, bitIndex1) | (~v115(constB87))),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29406, 29405])).
% 136.33/87.06 tff(29408,plain,
% 136.33/87.06 (~v115(constB87)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29407, 11343, 29331])).
% 136.33/87.06 tff(29409,plain,
% 136.33/87.06 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB87, bitIndex1) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB87, bitIndex1) | (~v116(constB87)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29410,plain,
% 136.33/87.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB87, bitIndex1) | (~v116(constB87)))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29411,plain,
% 136.33/87.06 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB87, bitIndex1) | (~v116(constB87))),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29410, 29409])).
% 136.33/87.06 tff(29412,plain,
% 136.33/87.06 (~v116(constB87)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29411, 1268, 29331])).
% 136.33/87.06 tff(29413,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB87)) | (~v124(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29414,plain,
% 136.33/87.06 (((~v145(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29415,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB87)) | (~v124(constB87, bitIndex0))))),
% 136.33/87.06 inference(monotonicity,[status(thm)],[29414])).
% 136.33/87.06 tff(29416,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.33/87.06 inference(transitivity,[status(thm)],[29415, 29413])).
% 136.33/87.06 tff(29417,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b010(bitIndex0))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29418,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB87)) | (~v124(constB87, bitIndex0))),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29417, 29416])).
% 136.33/87.06 tff(29419,plain,
% 136.33/87.06 (~v145(constB87)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29418, 2299, 1416, 795, 29397])).
% 136.33/87.06 tff(29420,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex2)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29421,plain,
% 136.33/87.06 ((v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex2)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29422,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex2))))),
% 136.33/87.06 inference(monotonicity,[status(thm)],[29421])).
% 136.33/87.06 tff(29423,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex2)))),
% 136.33/87.06 inference(transitivity,[status(thm)],[29422, 29420])).
% 136.33/87.06 tff(29424,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b001(bitIndex2))),
% 136.33/87.06 inference(quant_inst,[status(thm)],[])).
% 136.33/87.06 tff(29425,plain,
% 136.33/87.06 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex2))),
% 136.33/87.06 inference(modus_ponens,[status(thm)],[29424, 29423])).
% 136.33/87.06 tff(29426,plain,
% 136.33/87.06 (v118(constB87)),
% 136.33/87.06 inference(unit_resolution,[status(thm)],[29425, 2427, 2424, 767, 29419, 29412, 29408, 29404, 29381, 29354])).
% 136.33/87.06 tff(29427,plain,
% 136.33/87.06 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB87)) | (~v124(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.33/87.06 inference(rewrite,[status(thm)],[])).
% 136.33/87.06 tff(29428,plain,
% 136.33/87.06 (((~v118(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29429,plain,
% 136.42/87.06 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB87)) | (~v124(constB87, bitIndex2))))),
% 136.42/87.06 inference(monotonicity,[status(thm)],[29428])).
% 136.42/87.06 tff(29430,plain,
% 136.42/87.06 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.42/87.06 inference(transitivity,[status(thm)],[29429, 29427])).
% 136.42/87.06 tff(29431,plain,
% 136.42/87.06 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b011(bitIndex2))),
% 136.42/87.06 inference(quant_inst,[status(thm)],[])).
% 136.42/87.06 tff(29432,plain,
% 136.42/87.06 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB87)) | (~v124(constB87, bitIndex2))),
% 136.42/87.06 inference(modus_ponens,[status(thm)],[29431, 29430])).
% 136.42/87.06 tff(29433,plain,
% 136.42/87.06 ($false),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29432, 2030, 2027, 767, 29426, 29354])).
% 136.42/87.06 tff(29434,plain,(v84(constB87, bitIndex1) | (~v84(constB88, bitIndex2)) | (~v84(constB88, bitIndex0)) | (~v84(constB88, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.42/87.06 tff(29435,plain,
% 136.42/87.06 (~v84(constB88, bitIndex1)),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29434, 29254, 29331, 29282])).
% 136.42/87.06 tff(29436,plain,
% 136.42/87.06 ($false),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29203, 805, 823, 28965, 28977, 29197, 29435])).
% 136.42/87.06 tff(29437,plain,(v94(constB88) | v84(constB87, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.06 tff(29438,plain,
% 136.42/87.06 (v84(constB87, bitIndex1)),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29437, 28955])).
% 136.42/87.06 tff(29439,assumption,(~v84(constB86, bitIndex1)), introduced(assumption)).
% 136.42/87.06 tff(29440,plain,
% 136.42/87.06 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29441,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_86_1')).
% 136.42/87.06 tff(29442,plain,
% 136.42/87.06 (nextState(constB86, constB87)),
% 136.42/87.06 inference(modus_ponens,[status(thm)],[29441, 29440])).
% 136.42/87.06 tff(29443,plain,
% 136.42/87.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29444,plain,
% 136.42/87.06 (((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87)) <=> (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29445,plain,
% 136.42/87.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))))),
% 136.42/87.06 inference(monotonicity,[status(thm)],[29444])).
% 136.42/87.06 tff(29446,plain,
% 136.42/87.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87)))),
% 136.42/87.06 inference(transitivity,[status(thm)],[29445, 29443])).
% 136.42/87.06 tff(29447,plain,
% 136.42/87.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB86, constB87)) | (~v95(constB87)) | v1(constB87))),
% 136.42/87.06 inference(quant_inst,[status(thm)],[])).
% 136.42/87.06 tff(29448,plain,
% 136.42/87.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB87) | (~nextState(constB86, constB87)) | (~v95(constB87))),
% 136.42/87.06 inference(modus_ponens,[status(thm)],[29447, 29446])).
% 136.42/87.06 tff(29449,plain,
% 136.42/87.06 (~v95(constB87)),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29448, 742, 29442, 29064])).
% 136.42/87.06 tff(29450,plain,
% 136.42/87.06 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29451,plain,
% 136.42/87.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87)))),
% 136.42/87.06 inference(quant_inst,[status(thm)],[])).
% 136.42/87.06 tff(29452,plain,
% 136.42/87.06 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB86, constB87)) | v95(constB87) | (~v94(constB87))),
% 136.42/87.06 inference(modus_ponens,[status(thm)],[29451, 29450])).
% 136.42/87.06 tff(29453,plain,
% 136.42/87.06 (v95(constB87) | (~v94(constB87))),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29452, 759, 29442])).
% 136.42/87.06 tff(29454,plain,
% 136.42/87.06 (~v94(constB87)),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29453, 29449])).
% 136.42/87.06 tff(29455,plain,
% 136.42/87.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1)))),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29456,plain,
% 136.42/87.06 (((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB86, bitIndex1)) <=> ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1)))),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29457,plain,
% 136.42/87.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB86, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1))))),
% 136.42/87.06 inference(monotonicity,[status(thm)],[29456])).
% 136.42/87.06 tff(29458,plain,
% 136.42/87.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB86, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1)))),
% 136.42/87.06 inference(transitivity,[status(thm)],[29457, 29455])).
% 136.42/87.06 tff(29459,plain,
% 136.42/87.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB87, bitIndex1)) | v84(constB86, bitIndex1))),
% 136.42/87.06 inference(quant_inst,[status(thm)],[])).
% 136.42/87.06 tff(29460,plain,
% 136.42/87.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB87, bitIndex1))),
% 136.42/87.06 inference(modus_ponens,[status(thm)],[29459, 29458])).
% 136.42/87.06 tff(29461,plain,
% 136.42/87.06 ($false),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29460, 805, 823, 29442, 29454, 29220, 29439])).
% 136.42/87.06 tff(29462,plain,((~v84(constB87, bitIndex1)) | v84(constB86, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.06 tff(29463,plain,
% 136.42/87.06 (v84(constB86, bitIndex1)),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29462, 29438])).
% 136.42/87.06 tff(29464,assumption,(v84(constB86, bitIndex2)), introduced(assumption)).
% 136.42/87.06 tff(29465,plain,
% 136.42/87.06 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29466,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_85_1')).
% 136.42/87.06 tff(29467,plain,
% 136.42/87.06 (nextState(constB85, constB86)),
% 136.42/87.06 inference(modus_ponens,[status(thm)],[29466, 29465])).
% 136.42/87.06 tff(29468,plain,
% 136.42/87.06 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB85, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB85, bitIndex2))),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29469,plain,
% 136.42/87.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB85, bitIndex2))),
% 136.42/87.06 inference(quant_inst,[status(thm)],[])).
% 136.42/87.06 tff(29470,plain,
% 136.42/87.06 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB85, bitIndex2)),
% 136.42/87.06 inference(modus_ponens,[status(thm)],[29469, 29468])).
% 136.42/87.06 tff(29471,plain,
% 136.42/87.06 (v94(constB86) | v84(constB85, bitIndex2)),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29470, 805, 767, 29467, 29464])).
% 136.42/87.06 tff(29472,plain,
% 136.42/87.06 (v94(constB86)),
% 136.42/87.06 inference(unit_resolution,[status(thm)],[29471, 28667])).
% 136.42/87.06 tff(29473,plain,
% 136.42/87.06 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB86)) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB86)) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2))),
% 136.42/87.06 inference(rewrite,[status(thm)],[])).
% 136.42/87.06 tff(29474,plain,
% 136.42/87.06 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB86)) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2))),
% 136.42/87.06 inference(quant_inst,[status(thm)],[])).
% 136.42/87.06 tff(29475,plain,
% 136.42/87.06 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB86)) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2)),
% 136.42/87.06 inference(modus_ponens,[status(thm)],[29474, 29473])).
% 136.42/87.07 tff(29476,plain,
% 136.42/87.07 ((~v94(constB86)) | v123(constB86, bitIndex2)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29475, 1344, 767, 29464])).
% 136.42/87.07 tff(29477,plain,
% 136.42/87.07 (v123(constB86, bitIndex2)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29476, 29472])).
% 136.42/87.07 tff(29478,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29479,plain,
% 136.42/87.07 (((~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | (~v123(constB86, bitIndex2)) | v121(constB85, bitIndex2)) <=> ((~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29480,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | (~v123(constB86, bitIndex2)) | v121(constB85, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29479])).
% 136.42/87.07 tff(29481,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | (~v123(constB86, bitIndex2)) | v121(constB85, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2)))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29480, 29478])).
% 136.42/87.07 tff(29482,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | (~v123(constB86, bitIndex2)) | v121(constB85, bitIndex2))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29483,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB85, constB86)) | (~less_3(bitIndex2)) | v121(constB85, bitIndex2) | (~v123(constB86, bitIndex2))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29482, 29481])).
% 136.42/87.07 tff(29484,plain,
% 136.42/87.07 (v121(constB85, bitIndex2)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29483, 1362, 767, 29467, 29477])).
% 136.42/87.07 tff(29485,assumption,(v84(constB86, bitIndex1)), introduced(assumption)).
% 136.42/87.07 tff(29486,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB86)) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB86)) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29487,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB86)) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29488,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB86)) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1)),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29487, 29486])).
% 136.42/87.07 tff(29489,plain,
% 136.42/87.07 ((~v94(constB86)) | v123(constB86, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29488, 1344, 823, 29485])).
% 136.42/87.07 tff(29490,plain,
% 136.42/87.07 (v123(constB86, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29489, 29472])).
% 136.42/87.07 tff(29491,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB85, constB86)) | (~less_3(bitIndex1)) | (~v123(constB86, bitIndex1)) | v121(constB85, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB85, constB86)) | (~less_3(bitIndex1)) | (~v123(constB86, bitIndex1)) | v121(constB85, bitIndex1))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29492,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB85, constB86)) | (~less_3(bitIndex1)) | (~v123(constB86, bitIndex1)) | v121(constB85, bitIndex1))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29493,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB85, constB86)) | (~less_3(bitIndex1)) | (~v123(constB86, bitIndex1)) | v121(constB85, bitIndex1)),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29492, 29491])).
% 136.42/87.07 tff(29494,plain,
% 136.42/87.07 (v121(constB85, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29493, 1362, 823, 29467, 29490])).
% 136.42/87.07 tff(29495,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB85)) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB85)) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29496,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB85)) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29497,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB85)) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29496, 29495])).
% 136.42/87.07 tff(29498,plain,
% 136.42/87.07 (~v26(constB85)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29497, 1398, 823, 29494])).
% 136.42/87.07 tff(29499,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex2)) | (~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB85) | (~less_3(bitIndex2)) | (~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29500,plain,
% 136.42/87.07 ((v26(constB85) | (~less_3(bitIndex2)) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2))) <=> (v26(constB85) | (~less_3(bitIndex2)) | (~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29501,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex2)) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex2)) | (~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2)))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29500])).
% 136.42/87.07 tff(29502,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex2)) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB85) | (~less_3(bitIndex2)) | (~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29501, 29499])).
% 136.42/87.07 tff(29503,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex2)) | v124(constB85, bitIndex2) | (~v121(constB85, bitIndex2)))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29504,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB85) | (~less_3(bitIndex2)) | (~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2)),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29503, 29502])).
% 136.42/87.07 tff(29505,plain,
% 136.42/87.07 (v124(constB85, bitIndex2)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29504, 1380, 767, 29498, 29484])).
% 136.42/87.07 tff(29506,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v115(constB85)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v115(constB85)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29507,plain,
% 136.42/87.07 (((~v115(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v115(constB85)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29508,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v115(constB85))))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29507])).
% 136.42/87.07 tff(29509,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v115(constB85)))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29508, 29506])).
% 136.42/87.07 tff(29510,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b011(bitIndex2))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29511,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v115(constB85))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29510, 29509])).
% 136.42/87.07 tff(29512,plain,
% 136.42/87.07 (~v115(constB85)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29511, 2030, 2257, 767, 29505])).
% 136.42/87.07 tff(29513,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v118(constB85)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v118(constB85)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29514,plain,
% 136.42/87.07 (((~v118(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v118(constB85)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29515,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v118(constB85))))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29514])).
% 136.42/87.07 tff(29516,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v118(constB85)))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29515, 29513])).
% 136.42/87.07 tff(29517,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b011(bitIndex2))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29518,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | (~v118(constB85))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29517, 29516])).
% 136.42/87.07 tff(29519,plain,
% 136.42/87.07 (~v118(constB85)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29518, 2030, 2027, 767, 29505])).
% 136.42/87.07 tff(29520,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB85) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29521,plain,
% 136.42/87.07 ((v26(constB85) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1))) <=> (v26(constB85) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29522,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1)))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29521])).
% 136.42/87.07 tff(29523,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB85) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29522, 29520])).
% 136.42/87.07 tff(29524,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB85) | (~less_3(bitIndex1)) | v124(constB85, bitIndex1) | (~v121(constB85, bitIndex1)))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29525,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB85) | (~less_3(bitIndex1)) | (~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1)),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29524, 29523])).
% 136.42/87.07 tff(29526,plain,
% 136.42/87.07 (v124(constB85, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29525, 1380, 823, 29498, 29494])).
% 136.42/87.07 tff(29527,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v116(constB85)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v116(constB85)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29528,plain,
% 136.42/87.07 (((~v116(constB85)) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v116(constB85)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29529,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB85)) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v116(constB85))))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29528])).
% 136.42/87.07 tff(29530,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB85)) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v116(constB85)))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29529, 29527])).
% 136.42/87.07 tff(29531,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB85)) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | b100(bitIndex1))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29532,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB85, bitIndex1)) | (~v116(constB85))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29531, 29530])).
% 136.42/87.07 tff(29533,plain,
% 136.42/87.07 (~v116(constB85)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29532, 2167, 2164, 823, 29526])).
% 136.42/87.07 tff(29534,plain,
% 136.42/87.07 (~v113(constB85)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[28703, 2167, 2186, 823, 29526])).
% 136.42/87.07 tff(29535,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB85)) | (~v124(constB85, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB85)) | (~v124(constB85, bitIndex2)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29536,plain,
% 136.42/87.07 (((~v145(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB85)) | (~v124(constB85, bitIndex2)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29537,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB85)) | (~v124(constB85, bitIndex2))))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29536])).
% 136.42/87.07 tff(29538,plain,
% 136.42/87.07 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB85)) | (~v124(constB85, bitIndex2)))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29537, 29535])).
% 136.42/87.07 tff(29539,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB85)) | (~less_3(bitIndex2)) | (~v124(constB85, bitIndex2)) | b010(bitIndex2))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29540,plain,
% 136.42/87.07 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB85)) | (~v124(constB85, bitIndex2))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29539, 29538])).
% 136.42/87.07 tff(29541,plain,
% 136.42/87.07 (~v145(constB85)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29540, 1419, 1416, 767, 29505])).
% 136.42/87.07 tff(29542,plain,
% 136.42/87.07 (v145(constB85) | v113(constB85) | v118(constB85) | v172(constB85) | v116(constB85) | v115(constB85)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[28719, 2601, 2424, 823, 29526])).
% 136.42/87.07 tff(29543,plain,
% 136.42/87.07 (v172(constB85)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29542, 29541, 29534, 29533, 29519, 29512])).
% 136.42/87.07 tff(29544,plain,
% 136.42/87.07 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB85, bitIndex2) | (~v172(constB85)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB85, bitIndex2) | (~v172(constB85)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29545,plain,
% 136.42/87.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB85, bitIndex2) | (~v172(constB85)))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29546,plain,
% 136.42/87.07 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB85, bitIndex2) | (~v172(constB85))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29545, 29544])).
% 136.42/87.07 tff(29547,plain,
% 136.42/87.07 ($false),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29546, 5263, 28667, 29543])).
% 136.42/87.07 tff(29548,plain,(v84(constB85, bitIndex2) | (~v84(constB86, bitIndex2)) | (~v84(constB86, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.42/87.07 tff(29549,plain,
% 136.42/87.07 (~v84(constB86, bitIndex2)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29548, 29463, 28667])).
% 136.42/87.07 tff(29550,assumption,(~v84(constB86, bitIndex2)), introduced(assumption)).
% 136.42/87.07 tff(29551,assumption,(v84(constB87, bitIndex2)), introduced(assumption)).
% 136.42/87.07 tff(29552,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29553,plain,
% 136.42/87.07 (((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB86, bitIndex2)) <=> ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29554,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB86, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2))))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29553])).
% 136.42/87.07 tff(29555,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB86, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2)))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29554, 29552])).
% 136.42/87.07 tff(29556,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB87, bitIndex2)) | v84(constB86, bitIndex2))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29557,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB87, bitIndex2))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29556, 29555])).
% 136.42/87.07 tff(29558,plain,
% 136.42/87.07 ($false),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29557, 805, 767, 29442, 29454, 29551, 29550])).
% 136.42/87.07 tff(29559,plain,((~v84(constB87, bitIndex2)) | v84(constB86, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.07 tff(29560,plain,
% 136.42/87.07 (~v84(constB87, bitIndex2)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29559, 29549])).
% 136.42/87.07 tff(29561,plain,
% 136.42/87.07 (v84(constB90, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[16980, 16849])).
% 136.42/87.07 tff(29562,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB90, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB90, bitIndex1)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29563,plain,
% 136.42/87.07 (((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB90, bitIndex1)) | v84(constB89, bitIndex1)) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB90, bitIndex1)))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29564,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB90, bitIndex1)) | v84(constB89, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB90, bitIndex1))))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29563])).
% 136.42/87.07 tff(29565,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB90, bitIndex1)) | v84(constB89, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB90, bitIndex1)))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29564, 29562])).
% 136.42/87.07 tff(29566,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | (~v84(constB90, bitIndex1)) | v84(constB89, bitIndex1))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29567,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex1)) | v84(constB89, bitIndex1) | (~v84(constB90, bitIndex1))),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29566, 29565])).
% 136.42/87.07 tff(29568,plain,
% 136.42/87.07 (v84(constB89, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29567, 805, 823, 16855, 16849, 29561])).
% 136.42/87.07 tff(29569,assumption,(v84(constB89, bitIndex1)), introduced(assumption)).
% 136.42/87.07 tff(29570,plain,
% 136.42/87.07 ($false),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29203, 805, 823, 28965, 28977, 29569, 29013])).
% 136.42/87.07 tff(29571,plain,((~v84(constB89, bitIndex1)) | v84(constB88, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.07 tff(29572,plain,
% 136.42/87.07 (v84(constB88, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29571, 29568])).
% 136.42/87.07 tff(29573,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB90, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB90, bitIndex0))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29574,plain,
% 136.42/87.07 (((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB90, bitIndex0) | (~v84(constB89, bitIndex0))) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB90, bitIndex0))),
% 136.42/87.07 inference(rewrite,[status(thm)],[])).
% 136.42/87.07 tff(29575,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB90, bitIndex0) | (~v84(constB89, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB90, bitIndex0)))),
% 136.42/87.07 inference(monotonicity,[status(thm)],[29574])).
% 136.42/87.07 tff(29576,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB90, bitIndex0) | (~v84(constB89, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB90, bitIndex0))),
% 136.42/87.07 inference(transitivity,[status(thm)],[29575, 29573])).
% 136.42/87.07 tff(29577,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB90, bitIndex0) | (~v84(constB89, bitIndex0)))),
% 136.42/87.07 inference(quant_inst,[status(thm)],[])).
% 136.42/87.07 tff(29578,plain,
% 136.42/87.07 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB89, bitIndex0)) | v84(constB90, bitIndex0)),
% 136.42/87.07 inference(modus_ponens,[status(thm)],[29577, 29576])).
% 136.42/87.07 tff(29579,plain,
% 136.42/87.07 (v94(constB90) | (~v84(constB89, bitIndex0))),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29578, 777, 795, 16855, 17006])).
% 136.42/87.07 tff(29580,plain,
% 136.42/87.07 (~v84(constB89, bitIndex0)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29579, 16849])).
% 136.42/87.07 tff(29581,plain,
% 136.42/87.07 (v94(constB90) | v84(constB89, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29567, 805, 823, 16855, 16827])).
% 136.42/87.07 tff(29582,plain,
% 136.42/87.07 (v84(constB89, bitIndex1)),
% 136.42/87.07 inference(unit_resolution,[status(thm)],[29581, 16849])).
% 136.42/87.07 tff(29583,plain,
% 136.42/87.07 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB90, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB90, bitIndex2))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29584,plain,
% 136.42/87.08 (((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB89, bitIndex2))) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB90, bitIndex2))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29585,plain,
% 136.42/87.08 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB89, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB90, bitIndex2)))),
% 136.42/87.08 inference(monotonicity,[status(thm)],[29584])).
% 136.42/87.08 tff(29586,plain,
% 136.42/87.08 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB89, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB90, bitIndex2))),
% 136.42/87.08 inference(transitivity,[status(thm)],[29585, 29583])).
% 136.42/87.08 tff(29587,plain,
% 136.42/87.08 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB90, bitIndex2) | (~v84(constB89, bitIndex2)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29588,plain,
% 136.42/87.08 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB89, bitIndex2)) | v84(constB90, bitIndex2)),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29587, 29586])).
% 136.42/87.08 tff(29589,plain,
% 136.42/87.08 (v94(constB90) | (~v84(constB89, bitIndex2))),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29588, 777, 767, 16855, 17044])).
% 136.42/87.08 tff(29590,plain,
% 136.42/87.08 (~v84(constB89, bitIndex2)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29589, 16849])).
% 136.42/87.08 tff(29591,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v115(constB89))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v115(constB89))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29592,plain,
% 136.42/87.08 ((v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89)) <=> (v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v115(constB89))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29593,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v115(constB89)))),
% 136.42/87.08 inference(monotonicity,[status(thm)],[29592])).
% 136.42/87.08 tff(29594,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v115(constB89))),
% 136.42/87.08 inference(transitivity,[status(thm)],[29593, 29591])).
% 136.42/87.08 tff(29595,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v115(constB89))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29596,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v115(constB89)),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29595, 29594])).
% 136.42/87.08 tff(29597,plain,
% 136.42/87.08 (v115(constB89)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29596, 1095, 29580, 29582, 29590])).
% 136.42/87.08 tff(29598,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB89) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB89) | (~v115(constB89)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29599,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB89) | (~v115(constB89)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29600,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB89) | (~v115(constB89))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29599, 29598])).
% 136.42/87.08 tff(29601,plain,
% 136.42/87.08 (v111(constB89)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29600, 945, 29597])).
% 136.42/87.08 tff(29602,plain,
% 136.42/87.08 (v110(constB89)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[16917, 691, 29601])).
% 136.42/87.08 tff(29603,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[16913, 680, 16910, 29602])).
% 136.42/87.08 tff(29604,plain,(v94(constB90) | v84(constB90, bitIndex2) | (~v84(constB90, bitIndex1)) | v84(constB90, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29605,plain,
% 136.42/87.08 (v84(constB90, bitIndex2)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29604, 16849, 17006, 16827])).
% 136.42/87.08 tff(29606,plain,
% 136.42/87.08 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB90, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB90, bitIndex2)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29607,plain,
% 136.42/87.08 (((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB90, bitIndex2)) | v84(constB89, bitIndex2)) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB90, bitIndex2)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29608,plain,
% 136.42/87.08 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB90, bitIndex2)) | v84(constB89, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB90, bitIndex2))))),
% 136.42/87.08 inference(monotonicity,[status(thm)],[29607])).
% 136.42/87.08 tff(29609,plain,
% 136.42/87.08 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB90, bitIndex2)) | v84(constB89, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB90, bitIndex2)))),
% 136.42/87.08 inference(transitivity,[status(thm)],[29608, 29606])).
% 136.42/87.08 tff(29610,plain,
% 136.42/87.08 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | (~v84(constB90, bitIndex2)) | v84(constB89, bitIndex2))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29611,plain,
% 136.42/87.08 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex2)) | v84(constB89, bitIndex2) | (~v84(constB90, bitIndex2))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29610, 29609])).
% 136.42/87.08 tff(29612,plain,
% 136.42/87.08 (v84(constB89, bitIndex2)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29611, 805, 767, 16855, 16849, 29605])).
% 136.42/87.08 tff(29613,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB89, bitIndex0) | v119(constB89) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB89, bitIndex0) | v119(constB89) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29614,plain,
% 136.42/87.08 ((v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2)) | v119(constB89)) <=> (v84(constB89, bitIndex0) | v119(constB89) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29615,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2)) | v119(constB89))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB89, bitIndex0) | v119(constB89) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2))))),
% 136.42/87.08 inference(monotonicity,[status(thm)],[29614])).
% 136.42/87.08 tff(29616,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2)) | v119(constB89))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB89, bitIndex0) | v119(constB89) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2)))),
% 136.42/87.08 inference(transitivity,[status(thm)],[29615, 29613])).
% 136.42/87.08 tff(29617,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB89, bitIndex0) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2)) | v119(constB89))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29618,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB89, bitIndex0) | v119(constB89) | (~v84(constB89, bitIndex1)) | (~v84(constB89, bitIndex2))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29617, 29616])).
% 136.42/87.08 tff(29619,plain,
% 136.42/87.08 (v119(constB89)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29618, 1910, 29612, 29582, 29580])).
% 136.42/87.08 tff(29620,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB89) | (~v119(constB89)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB89) | (~v119(constB89)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29621,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB89) | (~v119(constB89)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29622,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB89) | (~v119(constB89))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29621, 29620])).
% 136.42/87.08 tff(29623,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29622, 1927, 16902, 29619])).
% 136.42/87.08 tff(29624,plain,(v94(constB90) | (~v84(constB90, bitIndex1)) | v84(constB90, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29625,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29624, 29561, 16849, 17006])).
% 136.42/87.08 tff(29626,plain,(v94(constB90) | v84(constB90, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29627,plain,
% 136.42/87.08 (v84(constB90, bitIndex0)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29626, 16849])).
% 136.42/87.08 tff(29628,plain,
% 136.42/87.08 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB90, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB90, bitIndex0)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29629,plain,
% 136.42/87.08 (((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB90, bitIndex0)) | v84(constB89, bitIndex0)) <=> ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB90, bitIndex0)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29630,plain,
% 136.42/87.08 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB90, bitIndex0)) | v84(constB89, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB90, bitIndex0))))),
% 136.42/87.08 inference(monotonicity,[status(thm)],[29629])).
% 136.42/87.08 tff(29631,plain,
% 136.42/87.08 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB90, bitIndex0)) | v84(constB89, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB90, bitIndex0)))),
% 136.42/87.08 inference(transitivity,[status(thm)],[29630, 29628])).
% 136.42/87.08 tff(29632,plain,
% 136.42/87.08 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | (~v84(constB90, bitIndex0)) | v84(constB89, bitIndex0))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29633,plain,
% 136.42/87.08 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB89, constB90)) | v94(constB90) | (~less_3(bitIndex0)) | v84(constB89, bitIndex0) | (~v84(constB90, bitIndex0))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29632, 29631])).
% 136.42/87.08 tff(29634,plain,
% 136.42/87.08 (v84(constB89, bitIndex0)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29633, 805, 795, 16855, 16849, 29627])).
% 136.42/87.08 tff(29635,assumption,(v84(constB89, bitIndex0)), introduced(assumption)).
% 136.42/87.08 tff(29636,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[28997, 805, 795, 28965, 28977, 29251, 29635])).
% 136.42/87.08 tff(29637,plain,((~v84(constB89, bitIndex0)) | v84(constB88, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29638,plain,
% 136.42/87.08 (v84(constB88, bitIndex0)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29637, 29634])).
% 136.42/87.08 tff(29639,assumption,(~v110(constB89)), introduced(assumption)).
% 136.42/87.08 tff(29640,plain,
% 136.42/87.08 (~v111(constB89)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[16917, 691, 29639])).
% 136.42/87.08 tff(29641,plain,
% 136.42/87.08 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB89) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB89) | (~v116(constB89)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29642,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB89) | (~v116(constB89)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29643,plain,
% 136.42/87.08 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB89) | (~v116(constB89))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29642, 29641])).
% 136.42/87.08 tff(29644,plain,
% 136.42/87.08 (~v116(constB89)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29643, 934, 29639])).
% 136.42/87.08 tff(29645,assumption,(~v116(constB89)), introduced(assumption)).
% 136.42/87.08 tff(29646,plain,
% 136.42/87.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v116(constB89))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v116(constB89))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29647,plain,
% 136.42/87.08 (((~v84(constB89, bitIndex0)) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v116(constB89)) <=> ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v116(constB89))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29648,plain,
% 136.42/87.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB89, bitIndex0)) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v116(constB89))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v116(constB89)))),
% 136.42/87.08 inference(monotonicity,[status(thm)],[29647])).
% 136.42/87.08 tff(29649,plain,
% 136.42/87.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB89, bitIndex0)) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v116(constB89))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v116(constB89))),
% 136.42/87.08 inference(transitivity,[status(thm)],[29648, 29646])).
% 136.42/87.08 tff(29650,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB89, bitIndex0)) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex2) | v116(constB89))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29651,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB89, bitIndex0)) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v116(constB89)),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29650, 29649])).
% 136.42/87.08 tff(29652,plain,
% 136.42/87.08 ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1))),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29651, 1076, 29645])).
% 136.42/87.08 tff(29653,plain,
% 136.42/87.08 (~v84(constB89, bitIndex0)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29652, 16942, 29569])).
% 136.42/87.08 tff(29654,assumption,(~v115(constB89)), introduced(assumption)).
% 136.42/87.08 tff(29655,plain,
% 136.42/87.08 (v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1))),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29596, 1095, 29654])).
% 136.42/87.08 tff(29656,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29655, 29653, 16942, 29569])).
% 136.42/87.08 tff(29657,plain,(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v115(constB89) | v116(constB89)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29658,plain,
% 136.42/87.08 (v115(constB89)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29657, 29644, 16942, 29569])).
% 136.42/87.08 tff(29659,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29600, 945, 29658, 29640])).
% 136.42/87.08 tff(29660,plain,(v110(constB89) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29661,plain,
% 136.42/87.08 (v84(constB89, bitIndex2)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29660, 16914, 29568])).
% 136.42/87.08 tff(29662,assumption,(v84(constB89, bitIndex2)), introduced(assumption)).
% 136.42/87.08 tff(29663,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29166, 805, 767, 28965, 28977, 29662, 29025])).
% 136.42/87.08 tff(29664,plain,((~v84(constB89, bitIndex2)) | v84(constB88, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29665,plain,
% 136.42/87.08 (v84(constB88, bitIndex2)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29664, 29661])).
% 136.42/87.08 tff(29666,plain,
% 136.42/87.08 (v84(constB87, bitIndex1)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29434, 29665, 29572, 29638])).
% 136.42/87.08 tff(29667,plain,
% 136.42/87.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v145(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v145(constB87)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29668,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v145(constB87)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29669,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v145(constB87))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29668, 29667])).
% 136.42/87.08 tff(29670,plain,
% 136.42/87.08 (~v145(constB87)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29669, 816, 29666])).
% 136.42/87.08 tff(29671,plain,
% 136.42/87.08 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB87)) | (~v84(constB87, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB87)) | (~v84(constB87, bitIndex1)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29672,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB87)) | (~v84(constB87, bitIndex1)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29673,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB87)) | (~v84(constB87, bitIndex1))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29672, 29671])).
% 136.42/87.08 tff(29674,plain,
% 136.42/87.08 (~v113(constB87)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29673, 1465, 29666])).
% 136.42/87.08 tff(29675,plain,
% 136.42/87.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v172(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v172(constB87)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29676,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v172(constB87)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29677,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v172(constB87))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29676, 29675])).
% 136.42/87.08 tff(29678,plain,
% 136.42/87.08 (~v172(constB87)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29677, 2289, 29666])).
% 136.42/87.08 tff(29679,plain,
% 136.42/87.08 (v94(constB88)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29173, 805, 767, 29016, 29665, 29221])).
% 136.42/87.08 tff(29680,plain,
% 136.42/87.08 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v118(constB87)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29681,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB87, bitIndex1)) | (~v118(constB87)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29682,plain,
% 136.42/87.08 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB87, bitIndex1)) | (~v118(constB87))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29681, 29680])).
% 136.42/87.08 tff(29683,plain,
% 136.42/87.08 (~v118(constB87)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29682, 2842, 29666])).
% 136.42/87.08 tff(29684,assumption,(v94(constB88)), introduced(assumption)).
% 136.42/87.08 tff(29685,plain,
% 136.42/87.08 (v123(constB88, bitIndex2)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29338, 29684])).
% 136.42/87.08 tff(29686,plain,
% 136.42/87.08 (v121(constB87, bitIndex2)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29342, 1362, 767, 29016, 29685])).
% 136.42/87.08 tff(29687,plain,
% 136.42/87.08 (v124(constB87, bitIndex2)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29353, 1380, 767, 29347, 29686])).
% 136.42/87.08 tff(29688,assumption,(~v113(constB87)), introduced(assumption)).
% 136.42/87.08 tff(29689,assumption,(~v118(constB87)), introduced(assumption)).
% 136.42/87.08 tff(29690,assumption,(~v172(constB87)), introduced(assumption)).
% 136.42/87.08 tff(29691,plain,
% 136.42/87.08 (v123(constB88, bitIndex1)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29358, 29684])).
% 136.42/87.08 tff(29692,plain,
% 136.42/87.08 (v121(constB87, bitIndex1)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29366, 29691])).
% 136.42/87.08 tff(29693,plain,
% 136.42/87.08 (v124(constB87, bitIndex1)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29373, 1380, 823, 29347, 29692])).
% 136.42/87.08 tff(29694,plain,
% 136.42/87.08 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB87)) | (~v124(constB87, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB87)) | (~v124(constB87, bitIndex1)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29695,plain,
% 136.42/87.08 (((~v116(constB87)) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB87)) | (~v124(constB87, bitIndex1)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29696,plain,
% 136.42/87.08 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB87)) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB87)) | (~v124(constB87, bitIndex1))))),
% 136.42/87.08 inference(monotonicity,[status(thm)],[29695])).
% 136.42/87.08 tff(29697,plain,
% 136.42/87.08 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB87)) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB87)) | (~v124(constB87, bitIndex1)))),
% 136.42/87.08 inference(transitivity,[status(thm)],[29696, 29694])).
% 136.42/87.08 tff(29698,plain,
% 136.42/87.08 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB87)) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b100(bitIndex1))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29699,plain,
% 136.42/87.08 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB87)) | (~v124(constB87, bitIndex1))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29698, 29697])).
% 136.42/87.08 tff(29700,plain,
% 136.42/87.08 (~v116(constB87)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29699, 2167, 2164, 823, 29693])).
% 136.42/87.08 tff(29701,assumption,(~v145(constB87)), introduced(assumption)).
% 136.42/87.08 tff(29702,plain,
% 136.42/87.08 (v115(constB87)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29425, 2427, 2424, 767, 29701, 29700, 29690, 29689, 29688, 29687])).
% 136.42/87.08 tff(29703,plain,
% 136.42/87.08 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB87)) | (~v124(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29704,plain,
% 136.42/87.08 (((~v115(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29705,plain,
% 136.42/87.08 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB87)) | (~v124(constB87, bitIndex2))))),
% 136.42/87.08 inference(monotonicity,[status(thm)],[29704])).
% 136.42/87.08 tff(29706,plain,
% 136.42/87.08 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.42/87.08 inference(transitivity,[status(thm)],[29705, 29703])).
% 136.42/87.08 tff(29707,plain,
% 136.42/87.08 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b011(bitIndex2))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29708,plain,
% 136.42/87.08 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB87)) | (~v124(constB87, bitIndex2))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29707, 29706])).
% 136.42/87.08 tff(29709,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29708, 2030, 2257, 767, 29702, 29687])).
% 136.42/87.08 tff(29710,plain,((~v94(constB88)) | v145(constB87) | v172(constB87) | v118(constB87) | v113(constB87) | (~v84(constB88, bitIndex2)) | (~v84(constB88, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29711,plain,
% 136.42/87.08 ($false),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29710, 29683, 29679, 29665, 29678, 29674, 29670, 29572])).
% 136.42/87.08 tff(29712,plain,(v94(constB90) | v84(constB87, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.08 tff(29713,plain,
% 136.42/87.08 (v94(constB90)),
% 136.42/87.08 inference(unit_resolution,[status(thm)],[29712, 29560])).
% 136.42/87.08 tff(29714,plain,
% 136.42/87.08 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v94(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v94(constB90)))),
% 136.42/87.08 inference(rewrite,[status(thm)],[])).
% 136.42/87.08 tff(29715,plain,
% 136.42/87.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB89, constB90)) | v104(constB90) | (~v94(constB90)))),
% 136.42/87.08 inference(quant_inst,[status(thm)],[])).
% 136.42/87.08 tff(29716,plain,
% 136.42/87.08 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB89, constB90)) | v104(constB90) | (~v94(constB90))),
% 136.42/87.08 inference(modus_ponens,[status(thm)],[29715, 29714])).
% 136.42/87.09 tff(29717,plain,
% 136.42/87.09 (v104(constB90) | (~v94(constB90))),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29716, 3113, 16855])).
% 136.42/87.09 tff(29718,plain,
% 136.42/87.09 (v104(constB90)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29717, 29713])).
% 136.42/87.09 tff(29719,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB89, constB90)) | (~v104(constB90)) | v102(constB89))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB89, constB90)) | (~v104(constB90)) | v102(constB89))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29720,plain,
% 136.42/87.09 (((~nextState(constB89, constB90)) | v102(constB89) | (~v104(constB90))) <=> ((~nextState(constB89, constB90)) | (~v104(constB90)) | v102(constB89))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29721,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB89, constB90)) | v102(constB89) | (~v104(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB89, constB90)) | (~v104(constB90)) | v102(constB89)))),
% 136.42/87.09 inference(monotonicity,[status(thm)],[29720])).
% 136.42/87.09 tff(29722,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB89, constB90)) | v102(constB89) | (~v104(constB90)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB89, constB90)) | (~v104(constB90)) | v102(constB89))),
% 136.42/87.09 inference(transitivity,[status(thm)],[29721, 29719])).
% 136.42/87.09 tff(29723,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB89, constB90)) | v102(constB89) | (~v104(constB90)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29724,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB89, constB90)) | (~v104(constB90)) | v102(constB89)),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29723, 29722])).
% 136.42/87.09 tff(29725,plain,
% 136.42/87.09 ((~v104(constB90)) | v102(constB89)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29724, 3128, 16855])).
% 136.42/87.09 tff(29726,plain,
% 136.42/87.09 (v102(constB89)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29725, 29718])).
% 136.42/87.09 tff(29727,plain,
% 136.42/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB89)) | v26(constB89) | v106(constB89))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB89)) | v26(constB89) | v106(constB89))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29728,plain,
% 136.42/87.09 ((v26(constB89) | v106(constB89) | (~v102(constB89))) <=> ((~v102(constB89)) | v26(constB89) | v106(constB89))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29729,plain,
% 136.42/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB89) | v106(constB89) | (~v102(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB89)) | v26(constB89) | v106(constB89)))),
% 136.42/87.09 inference(monotonicity,[status(thm)],[29728])).
% 136.42/87.09 tff(29730,plain,
% 136.42/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB89) | v106(constB89) | (~v102(constB89)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB89)) | v26(constB89) | v106(constB89))),
% 136.42/87.09 inference(transitivity,[status(thm)],[29729, 29727])).
% 136.42/87.09 tff(29731,plain,
% 136.42/87.09 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB89) | v106(constB89) | (~v102(constB89)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29732,plain,
% 136.42/87.09 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB89)) | v26(constB89) | v106(constB89)),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29731, 29730])).
% 136.42/87.09 tff(29733,plain,
% 136.42/87.09 ((~v102(constB89)) | v106(constB89)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29732, 3146, 16894])).
% 136.42/87.09 tff(29734,plain,
% 136.42/87.09 (v106(constB89)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29733, 29726])).
% 136.42/87.09 tff(29735,plain,
% 136.42/87.09 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB89) | (~v106(constB89)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB89) | (~v106(constB89)))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29736,plain,
% 136.42/87.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB89) | (~v106(constB89)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29737,plain,
% 136.42/87.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB89) | (~v106(constB89))),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29736, 29735])).
% 136.42/87.09 tff(29738,plain,
% 136.42/87.09 ($false),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29737, 3161, 29734, 29330])).
% 136.42/87.09 tff(29739,plain,(v94(constB88) | v84(constB85, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.42/87.09 tff(29740,plain,
% 136.42/87.09 (v94(constB88)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29739, 28954])).
% 136.42/87.09 tff(29741,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v94(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v94(constB88)))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29742,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB87, constB88)) | v104(constB88) | (~v94(constB88)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29743,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB87, constB88)) | v104(constB88) | (~v94(constB88))),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29742, 29741])).
% 136.42/87.09 tff(29744,plain,
% 136.42/87.09 (v104(constB88) | (~v94(constB88))),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29743, 3113, 29016])).
% 136.42/87.09 tff(29745,plain,
% 136.42/87.09 (v104(constB88)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29744, 29740])).
% 136.42/87.09 tff(29746,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB87, constB88)) | (~v104(constB88)) | v102(constB87))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB87, constB88)) | (~v104(constB88)) | v102(constB87))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29747,plain,
% 136.42/87.09 (((~nextState(constB87, constB88)) | v102(constB87) | (~v104(constB88))) <=> ((~nextState(constB87, constB88)) | (~v104(constB88)) | v102(constB87))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29748,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB87, constB88)) | v102(constB87) | (~v104(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB87, constB88)) | (~v104(constB88)) | v102(constB87)))),
% 136.42/87.09 inference(monotonicity,[status(thm)],[29747])).
% 136.42/87.09 tff(29749,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB87, constB88)) | v102(constB87) | (~v104(constB88)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB87, constB88)) | (~v104(constB88)) | v102(constB87))),
% 136.42/87.09 inference(transitivity,[status(thm)],[29748, 29746])).
% 136.42/87.09 tff(29750,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB87, constB88)) | v102(constB87) | (~v104(constB88)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29751,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB87, constB88)) | (~v104(constB88)) | v102(constB87)),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29750, 29749])).
% 136.42/87.09 tff(29752,plain,
% 136.42/87.09 ((~v104(constB88)) | v102(constB87)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29751, 3128, 29016])).
% 136.42/87.09 tff(29753,plain,
% 136.42/87.09 (v102(constB87)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29752, 29745])).
% 136.42/87.09 tff(29754,plain,
% 136.42/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB87)) | v26(constB87) | v106(constB87))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB87)) | v26(constB87) | v106(constB87))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29755,plain,
% 136.42/87.09 ((v26(constB87) | v106(constB87) | (~v102(constB87))) <=> ((~v102(constB87)) | v26(constB87) | v106(constB87))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29756,plain,
% 136.42/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB87) | v106(constB87) | (~v102(constB87)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB87)) | v26(constB87) | v106(constB87)))),
% 136.42/87.09 inference(monotonicity,[status(thm)],[29755])).
% 136.42/87.09 tff(29757,plain,
% 136.42/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB87) | v106(constB87) | (~v102(constB87)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB87)) | v26(constB87) | v106(constB87))),
% 136.42/87.09 inference(transitivity,[status(thm)],[29756, 29754])).
% 136.42/87.09 tff(29758,plain,
% 136.42/87.09 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB87) | v106(constB87) | (~v102(constB87)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29759,plain,
% 136.42/87.09 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB87)) | v26(constB87) | v106(constB87)),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29758, 29757])).
% 136.42/87.09 tff(29760,plain,
% 136.42/87.09 ((~v102(constB87)) | v106(constB87)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29759, 3146, 29347])).
% 136.42/87.09 tff(29761,plain,
% 136.42/87.09 (v106(constB87)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29760, 29753])).
% 136.42/87.09 tff(29762,plain,
% 136.42/87.09 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB87) | (~v106(constB87)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB87) | (~v106(constB87)))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29763,plain,
% 136.42/87.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB87) | (~v106(constB87)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29764,plain,
% 136.42/87.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB87) | (~v106(constB87))),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29763, 29762])).
% 136.42/87.09 tff(29765,plain,
% 136.42/87.09 (v107(constB87)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29764, 3161, 29761])).
% 136.42/87.09 tff(29766,assumption,(~v102(constB85)), introduced(assumption)).
% 136.42/87.09 tff(29767,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29768,plain,
% 136.42/87.09 (((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86))) <=> ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29769,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85)))),
% 136.42/87.09 inference(monotonicity,[status(thm)],[29768])).
% 136.42/87.09 tff(29770,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85))),
% 136.42/87.09 inference(transitivity,[status(thm)],[29769, 29767])).
% 136.42/87.09 tff(29771,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB85, constB86)) | v102(constB85) | (~v104(constB86)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29772,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB85, constB86)) | (~v104(constB86)) | v102(constB85)),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29771, 29770])).
% 136.42/87.09 tff(29773,plain,
% 136.42/87.09 ((~v104(constB86)) | v102(constB85)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29772, 3128, 29467])).
% 136.42/87.09 tff(29774,plain,
% 136.42/87.09 (~v104(constB86)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29773, 29766])).
% 136.42/87.09 tff(29775,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29776,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29777,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v94(constB86))),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29776, 29775])).
% 136.42/87.09 tff(29778,plain,
% 136.42/87.09 (v104(constB86) | (~v94(constB86))),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29777, 3113, 29467])).
% 136.42/87.09 tff(29779,plain,
% 136.42/87.09 (~v94(constB86)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29778, 29774])).
% 136.42/87.09 tff(29780,assumption,(~v94(constB86)), introduced(assumption)).
% 136.42/87.09 tff(29781,assumption,(~v84(constB86, bitIndex0)), introduced(assumption)).
% 136.42/87.09 tff(29782,plain,
% 136.42/87.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex0)) | v84(constB86, bitIndex0) | (~v84(constB85, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex0)) | v84(constB86, bitIndex0) | (~v84(constB85, bitIndex0)))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29783,plain,
% 136.42/87.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex0)) | v84(constB86, bitIndex0) | (~v84(constB85, bitIndex0)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29784,plain,
% 136.42/87.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex0)) | v84(constB86, bitIndex0) | (~v84(constB85, bitIndex0))),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 136.42/87.09 tff(29785,plain,
% 136.42/87.09 (~v84(constB85, bitIndex0)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29784, 777, 795, 29467, 29780, 29781])).
% 136.42/87.09 tff(29786,plain,
% 136.42/87.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB85, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB85, bitIndex1)))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29787,plain,
% 136.42/87.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB85, bitIndex1)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29788,plain,
% 136.42/87.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex1)) | v84(constB86, bitIndex1) | (~v84(constB85, bitIndex1))),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29787, 29786])).
% 136.42/87.09 tff(29789,plain,
% 136.42/87.09 (~v84(constB85, bitIndex1)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29788, 777, 823, 29467, 29780, 29439])).
% 136.42/87.09 tff(29790,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29791,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86)))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29792,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB85) | (~nextState(constB85, constB86)) | (~v98(constB86))),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29791, 29790])).
% 136.42/87.09 tff(29793,plain,
% 136.42/87.09 (~v98(constB86)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29792, 541, 29467, 28587])).
% 136.42/87.09 tff(29794,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29795,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB85, constB86)) | v96(constB86) | v98(constB86))),
% 136.42/87.09 inference(quant_inst,[status(thm)],[])).
% 136.42/87.09 tff(29796,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB85, constB86)) | v96(constB86) | v98(constB86)),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29795, 29794])).
% 136.42/87.09 tff(29797,plain,
% 136.42/87.09 (v96(constB86) | v98(constB86)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29796, 555, 29467])).
% 136.42/87.09 tff(29798,plain,
% 136.42/87.09 (v96(constB86)),
% 136.42/87.09 inference(unit_resolution,[status(thm)],[29797, 29793])).
% 136.42/87.09 tff(29799,plain,
% 136.42/87.09 (v1(constB86) <=> v1(constB86)),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29800,axiom,(v1(constB86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_86_1')).
% 136.42/87.09 tff(29801,plain,
% 136.42/87.09 (v1(constB86)),
% 136.42/87.09 inference(modus_ponens,[status(thm)],[29800, 29799])).
% 136.42/87.09 tff(29802,plain,
% 136.42/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 136.42/87.09 inference(rewrite,[status(thm)],[])).
% 136.42/87.09 tff(29803,plain,
% 136.42/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29804,plain,
% 136.45/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB85, constB86)) | v95(constB86) | (~v96(constB86)) | (~v1(constB86))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29803, 29802])).
% 136.45/87.09 tff(29805,plain,
% 136.45/87.09 (v95(constB86) | (~v96(constB86))),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29804, 573, 29467, 29801])).
% 136.45/87.09 tff(29806,plain,
% 136.45/87.09 (v95(constB86)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29805, 29798])).
% 136.45/87.09 tff(29807,plain,
% 136.45/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29808,plain,
% 136.45/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29809,plain,
% 136.45/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB85, constB86)) | (~v95(constB86)) | (~v104(constB86)) | v94(constB86)),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29808, 29807])).
% 136.45/87.09 tff(29810,plain,
% 136.45/87.09 ((~v95(constB86)) | (~v104(constB86)) | v94(constB86)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29809, 588, 29467])).
% 136.45/87.09 tff(29811,plain,
% 136.45/87.09 ((~v104(constB86)) | v94(constB86)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29810, 29806])).
% 136.45/87.09 tff(29812,plain,
% 136.45/87.09 (~v104(constB86)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29811, 29780])).
% 136.45/87.09 tff(29813,plain,
% 136.45/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29814,plain,
% 136.45/87.09 (((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86)) <=> ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29815,plain,
% 136.45/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))))),
% 136.45/87.09 inference(monotonicity,[status(thm)],[29814])).
% 136.45/87.09 tff(29816,plain,
% 136.45/87.09 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85)))),
% 136.45/87.09 inference(transitivity,[status(thm)],[29815, 29813])).
% 136.45/87.09 tff(29817,plain,
% 136.45/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB85, constB86)) | (~v102(constB85)) | v104(constB86))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29818,plain,
% 136.45/87.09 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB85, constB86)) | v104(constB86) | (~v102(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29817, 29816])).
% 136.45/87.09 tff(29819,plain,
% 136.45/87.09 (v104(constB86) | (~v102(constB85))),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29818, 604, 29467])).
% 136.45/87.09 tff(29820,plain,
% 136.45/87.09 (~v102(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29819, 29812])).
% 136.45/87.09 tff(29821,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB85) | (~v106(constB85)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB85) | (~v106(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29822,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB85) | (~v106(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29823,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB85) | (~v106(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29822, 29821])).
% 136.45/87.09 tff(29824,plain,
% 136.45/87.09 (~v106(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29823, 619, 29820])).
% 136.45/87.09 tff(29825,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB85) | (~v26(constB85)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB85) | (~v26(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29826,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB85) | (~v26(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29827,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB85) | (~v26(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29826, 29825])).
% 136.45/87.09 tff(29828,plain,
% 136.45/87.09 (~v26(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29827, 630, 29820])).
% 136.45/87.09 tff(29829,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | v106(constB85) | (~v107(constB85)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | v106(constB85) | (~v107(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29830,plain,
% 136.45/87.09 ((v26(constB85) | (~v107(constB85)) | v106(constB85)) <=> (v26(constB85) | v106(constB85) | (~v107(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29831,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | v106(constB85) | (~v107(constB85))))),
% 136.45/87.09 inference(monotonicity,[status(thm)],[29830])).
% 136.45/87.09 tff(29832,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | v106(constB85) | (~v107(constB85)))),
% 136.45/87.09 inference(transitivity,[status(thm)],[29831, 29829])).
% 136.45/87.09 tff(29833,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB85) | (~v107(constB85)) | v106(constB85))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29834,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB85) | v106(constB85) | (~v107(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29833, 29832])).
% 136.45/87.09 tff(29835,plain,
% 136.45/87.09 (~v107(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29834, 644, 29828, 29824])).
% 136.45/87.09 tff(29836,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB85) | (~v108(constB85)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB85) | (~v108(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29837,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB85) | (~v108(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29838,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB85) | (~v108(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29837, 29836])).
% 136.45/87.09 tff(29839,plain,
% 136.45/87.09 (~v108(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29838, 658, 29835])).
% 136.45/87.09 tff(29840,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB85) | (~v109(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB85) | (~v109(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29841,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB85) | (~v109(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29842,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB85) | (~v109(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29841, 29840])).
% 136.45/87.09 tff(29843,plain,
% 136.45/87.09 (~v109(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29842, 669, 29839])).
% 136.45/87.09 tff(29844,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB85) | (~v110(constB85)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB85) | (~v110(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29845,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB85) | (~v110(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29846,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB85) | (~v110(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29845, 29844])).
% 136.45/87.09 tff(29847,plain,
% 136.45/87.09 (~v110(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29846, 680, 29843])).
% 136.45/87.09 tff(29848,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB85) | (~v111(constB85)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB85) | (~v111(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29849,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB85) | (~v111(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29850,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB85) | (~v111(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29849, 29848])).
% 136.45/87.09 tff(29851,plain,
% 136.45/87.09 (~v111(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29850, 691, 29847])).
% 136.45/87.09 tff(29852,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB85) | (~v112(constB85)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB85) | (~v112(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29853,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB85) | (~v112(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29854,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB85) | (~v112(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29853, 29852])).
% 136.45/87.09 tff(29855,plain,
% 136.45/87.09 (~v112(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29854, 702, 29851])).
% 136.45/87.09 tff(29856,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB85) | (~v113(constB85)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB85) | (~v113(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29857,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB85) | (~v113(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29858,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB85) | (~v113(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29857, 29856])).
% 136.45/87.09 tff(29859,plain,
% 136.45/87.09 (~v113(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29858, 969, 29855])).
% 136.45/87.09 tff(29860,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29861,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29862,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB85) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29861, 29860])).
% 136.45/87.09 tff(29863,plain,
% 136.45/87.09 (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29862, 983, 29859])).
% 136.45/87.09 tff(29864,plain,
% 136.45/87.09 ($false),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29863, 29789, 29785, 28667])).
% 136.45/87.09 tff(29865,plain,(v84(constB85, bitIndex2) | v94(constB86) | v84(constB86, bitIndex1) | v84(constB86, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.09 tff(29866,plain,
% 136.45/87.09 (v84(constB85, bitIndex2)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29865, 29439, 29780, 29781])).
% 136.45/87.09 tff(29867,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB85) | (~v172(constB85)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB85) | (~v172(constB85)))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29868,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB85) | (~v172(constB85)))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29869,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB85) | (~v172(constB85))),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29868, 29867])).
% 136.45/87.09 tff(29870,plain,
% 136.45/87.09 (~v172(constB85)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29869, 1033, 29843])).
% 136.45/87.09 tff(29871,plain,
% 136.45/87.09 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29872,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85))),
% 136.45/87.09 inference(quant_inst,[status(thm)],[])).
% 136.45/87.09 tff(29873,plain,
% 136.45/87.09 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v172(constB85)),
% 136.45/87.09 inference(modus_ponens,[status(thm)],[29872, 29871])).
% 136.45/87.09 tff(29874,plain,
% 136.45/87.09 (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2))),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29873, 1047, 29870])).
% 136.45/87.09 tff(29875,plain,
% 136.45/87.09 ($false),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29874, 29785, 29789, 29866])).
% 136.45/87.09 tff(29876,plain,(v84(constB86, bitIndex1) | v94(constB86) | v84(constB86, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.09 tff(29877,plain,
% 136.45/87.09 (v84(constB86, bitIndex1)),
% 136.45/87.09 inference(unit_resolution,[status(thm)],[29876, 29781, 29780])).
% 136.45/87.09 tff(29878,plain,
% 136.45/87.09 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB85, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB85, bitIndex1))),
% 136.45/87.09 inference(rewrite,[status(thm)],[])).
% 136.45/87.09 tff(29879,plain,
% 136.45/87.09 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB85, bitIndex1))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29880,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB85, bitIndex1)),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29879, 29878])).
% 136.45/87.10 tff(29881,plain,
% 136.45/87.10 (v84(constB85, bitIndex1)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29880, 805, 823, 29467, 29780, 29877])).
% 136.45/87.10 tff(29882,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB85) | (~v119(constB85)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB85) | (~v119(constB85)))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29883,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB85) | (~v119(constB85)))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29884,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB85) | (~v119(constB85))),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29883, 29882])).
% 136.45/87.10 tff(29885,plain,
% 136.45/87.10 (~v119(constB85)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29884, 1927, 29835])).
% 136.45/87.10 tff(29886,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | v119(constB85) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | v119(constB85) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29887,plain,
% 136.45/87.10 ((v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85)) <=> (v84(constB85, bitIndex0) | v119(constB85) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29888,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | v119(constB85) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2))))),
% 136.45/87.10 inference(monotonicity,[status(thm)],[29887])).
% 136.45/87.10 tff(29889,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | v119(constB85) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)))),
% 136.45/87.10 inference(transitivity,[status(thm)],[29888, 29886])).
% 136.45/87.10 tff(29890,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)) | v119(constB85))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29891,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB85, bitIndex0) | v119(constB85) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2))),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29890, 29889])).
% 136.45/87.10 tff(29892,plain,
% 136.45/87.10 (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2))),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29891, 1910, 29885])).
% 136.45/87.10 tff(29893,plain,
% 136.45/87.10 (~v84(constB85, bitIndex2)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29892, 29785, 29881])).
% 136.45/87.10 tff(29894,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB85) | (~v115(constB85)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB85) | (~v115(constB85)))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29895,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB85) | (~v115(constB85)))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29896,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB85) | (~v115(constB85))),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29895, 29894])).
% 136.45/87.10 tff(29897,plain,
% 136.45/87.10 (~v115(constB85)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29896, 945, 29851])).
% 136.45/87.10 tff(29898,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v115(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v115(constB85))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29899,plain,
% 136.45/87.10 ((v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v115(constB85)) <=> (v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v115(constB85))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29900,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v115(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v115(constB85)))),
% 136.45/87.10 inference(monotonicity,[status(thm)],[29899])).
% 136.45/87.10 tff(29901,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v115(constB85))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v115(constB85))),
% 136.45/87.10 inference(transitivity,[status(thm)],[29900, 29898])).
% 136.45/87.10 tff(29902,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v115(constB85))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29903,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v115(constB85)),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29902, 29901])).
% 136.45/87.10 tff(29904,plain,
% 136.45/87.10 (v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1))),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29903, 1095, 29897])).
% 136.45/87.10 tff(29905,plain,
% 136.45/87.10 ($false),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29904, 29893, 29785, 29881])).
% 136.45/87.10 tff(29906,plain,(v84(constB86, bitIndex0) | v94(constB86)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.10 tff(29907,plain,
% 136.45/87.10 (v84(constB86, bitIndex0)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29906, 29779])).
% 136.45/87.10 tff(29908,assumption,(~v84(constB87, bitIndex0)), introduced(assumption)).
% 136.45/87.10 tff(29909,assumption,(v84(constB86, bitIndex0)), introduced(assumption)).
% 136.45/87.10 tff(29910,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29911,plain,
% 136.45/87.10 (((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB86, bitIndex0))) <=> ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29912,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB86, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0)))),
% 136.45/87.10 inference(monotonicity,[status(thm)],[29911])).
% 136.45/87.10 tff(29913,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB86, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0))),
% 136.45/87.10 inference(transitivity,[status(thm)],[29912, 29910])).
% 136.45/87.10 tff(29914,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | v84(constB87, bitIndex0) | (~v84(constB86, bitIndex0)))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29915,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB87, bitIndex0)),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29914, 29913])).
% 136.45/87.10 tff(29916,plain,
% 136.45/87.10 ($false),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29915, 777, 795, 29442, 29454, 29909, 29908])).
% 136.45/87.10 tff(29917,plain,(v84(constB87, bitIndex0) | (~v84(constB86, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.10 tff(29918,plain,
% 136.45/87.10 (v84(constB87, bitIndex0)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29917, 29907])).
% 136.45/87.10 tff(29919,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB85) | (~v118(constB85)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB85) | (~v118(constB85)))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29920,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB85) | (~v118(constB85)))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29921,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB85) | (~v118(constB85))),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29920, 29919])).
% 136.45/87.10 tff(29922,plain,
% 136.45/87.10 (~v118(constB85)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29921, 1004, 29839])).
% 136.45/87.10 tff(29923,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB85) | (~v145(constB85)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB85) | (~v145(constB85)))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29924,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB85) | (~v145(constB85)))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29925,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB85) | (~v145(constB85))),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29924, 29923])).
% 136.45/87.10 tff(29926,plain,
% 136.45/87.10 (~v145(constB85)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29925, 713, 29855])).
% 136.45/87.10 tff(29927,plain,
% 136.45/87.10 (v84(constB86, bitIndex0)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29906, 29780])).
% 136.45/87.10 tff(29928,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB85, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB85, bitIndex0))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29929,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB85, bitIndex0))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29930,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex0)) | (~v84(constB86, bitIndex0)) | v84(constB85, bitIndex0)),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29929, 29928])).
% 136.45/87.10 tff(29931,plain,
% 136.45/87.10 (v84(constB85, bitIndex0)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29930, 805, 795, 29467, 29780, 29927])).
% 136.45/87.10 tff(29932,assumption,(~v118(constB85)), introduced(assumption)).
% 136.45/87.10 tff(29933,plain,
% 136.45/87.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29934,plain,
% 136.45/87.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29935,plain,
% 136.45/87.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)) | v118(constB85)),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29934, 29933])).
% 136.45/87.10 tff(29936,plain,
% 136.45/87.10 ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2))),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29935, 1018, 29932])).
% 136.45/87.10 tff(29937,plain,
% 136.45/87.10 (~v84(constB85, bitIndex2)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29936, 28584, 28685])).
% 136.45/87.10 tff(29938,plain,
% 136.45/87.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB85) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB85) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29939,plain,
% 136.45/87.10 (((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85)) <=> (v145(constB85) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29940,plain,
% 136.45/87.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB85) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)))),
% 136.45/87.10 inference(monotonicity,[status(thm)],[29939])).
% 136.45/87.10 tff(29941,plain,
% 136.45/87.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB85) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))),
% 136.45/87.10 inference(transitivity,[status(thm)],[29940, 29938])).
% 136.45/87.10 tff(29942,plain,
% 136.45/87.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | v145(constB85))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29943,plain,
% 136.45/87.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB85) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29942, 29941])).
% 136.45/87.10 tff(29944,plain,
% 136.45/87.10 ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29943, 865, 28697])).
% 136.45/87.10 tff(29945,plain,
% 136.45/87.10 ($false),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29944, 29937, 28584, 28685])).
% 136.45/87.10 tff(29946,plain,(v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)) | v145(constB85) | v118(constB85)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.10 tff(29947,plain,
% 136.45/87.10 (v84(constB85, bitIndex1)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29946, 29931, 29926, 29922])).
% 136.45/87.10 tff(29948,plain,
% 136.45/87.10 ($false),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29788, 777, 823, 29467, 29780, 29439, 29947])).
% 136.45/87.10 tff(29949,plain,(v84(constB86, bitIndex1) | v94(constB86)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.10 tff(29950,plain,
% 136.45/87.10 (v84(constB86, bitIndex1)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29949, 29779])).
% 136.45/87.10 tff(29951,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB87, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB87, bitIndex1))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29952,plain,
% 136.45/87.10 (((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB86, bitIndex1))) <=> ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB87, bitIndex1))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29953,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB86, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB87, bitIndex1)))),
% 136.45/87.10 inference(monotonicity,[status(thm)],[29952])).
% 136.45/87.10 tff(29954,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB86, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB87, bitIndex1))),
% 136.45/87.10 inference(transitivity,[status(thm)],[29953, 29951])).
% 136.45/87.10 tff(29955,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | v84(constB87, bitIndex1) | (~v84(constB86, bitIndex1)))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29956,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex1)) | (~v84(constB86, bitIndex1)) | v84(constB87, bitIndex1)),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29955, 29954])).
% 136.45/87.10 tff(29957,plain,
% 136.45/87.10 ($false),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29956, 777, 823, 29442, 29454, 29331, 29485])).
% 136.45/87.10 tff(29958,plain,(v84(constB87, bitIndex1) | (~v84(constB86, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.10 tff(29959,plain,
% 136.45/87.10 (v84(constB87, bitIndex1)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29958, 29950])).
% 136.45/87.10 tff(29960,plain,
% 136.45/87.10 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB85) | (~v116(constB85)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB85) | (~v116(constB85)))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29961,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB85) | (~v116(constB85)))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29962,plain,
% 136.45/87.10 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB85) | (~v116(constB85))),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29961, 29960])).
% 136.45/87.10 tff(29963,plain,
% 136.45/87.10 (~v116(constB85)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29962, 934, 29847])).
% 136.45/87.10 tff(29964,plain,
% 136.45/87.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v116(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v116(constB85))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29965,plain,
% 136.45/87.10 (((~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v116(constB85)) <=> ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v116(constB85))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29966,plain,
% 136.45/87.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v116(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v116(constB85)))),
% 136.45/87.10 inference(monotonicity,[status(thm)],[29965])).
% 136.45/87.10 tff(29967,plain,
% 136.45/87.10 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v116(constB85))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v116(constB85))),
% 136.45/87.10 inference(transitivity,[status(thm)],[29966, 29964])).
% 136.45/87.10 tff(29968,plain,
% 136.45/87.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex2) | v116(constB85))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29969,plain,
% 136.45/87.10 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v116(constB85)),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29968, 29967])).
% 136.45/87.10 tff(29970,plain,
% 136.45/87.10 ((~v84(constB85, bitIndex0)) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1))),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29969, 1076, 29963])).
% 136.45/87.10 tff(29971,plain,
% 136.45/87.10 (v84(constB85, bitIndex2)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29970, 29947, 29931])).
% 136.45/87.10 tff(29972,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB85, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB85, bitIndex2)))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29973,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB85, bitIndex2)))),
% 136.45/87.10 inference(quant_inst,[status(thm)],[])).
% 136.45/87.10 tff(29974,plain,
% 136.45/87.10 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB85, constB86)) | v94(constB86) | (~less_3(bitIndex2)) | v84(constB86, bitIndex2) | (~v84(constB85, bitIndex2))),
% 136.45/87.10 inference(modus_ponens,[status(thm)],[29973, 29972])).
% 136.45/87.10 tff(29975,plain,
% 136.45/87.10 ($false),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29974, 777, 767, 29467, 29780, 29550, 29971])).
% 136.45/87.10 tff(29976,plain,(v84(constB86, bitIndex2) | v94(constB86)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.10 tff(29977,plain,
% 136.45/87.10 (v84(constB86, bitIndex2)),
% 136.45/87.10 inference(unit_resolution,[status(thm)],[29976, 29779])).
% 136.45/87.10 tff(29978,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB87, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB87, bitIndex2))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29979,plain,
% 136.45/87.10 (((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB86, bitIndex2))) <=> ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB87, bitIndex2))),
% 136.45/87.10 inference(rewrite,[status(thm)],[])).
% 136.45/87.10 tff(29980,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB86, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB87, bitIndex2)))),
% 136.45/87.10 inference(monotonicity,[status(thm)],[29979])).
% 136.45/87.10 tff(29981,plain,
% 136.45/87.10 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB86, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB87, bitIndex2))),
% 136.45/87.10 inference(transitivity,[status(thm)],[29980, 29978])).
% 136.45/87.11 tff(29982,plain,
% 136.45/87.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | v84(constB87, bitIndex2) | (~v84(constB86, bitIndex2)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(29983,plain,
% 136.45/87.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB86, constB87)) | v94(constB87) | (~less_3(bitIndex2)) | (~v84(constB86, bitIndex2)) | v84(constB87, bitIndex2)),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[29982, 29981])).
% 136.45/87.11 tff(29984,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29983, 777, 767, 29442, 29454, 29221, 29464])).
% 136.45/87.11 tff(29985,plain,(v84(constB87, bitIndex2) | (~v84(constB86, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(29986,plain,
% 136.45/87.11 (v84(constB87, bitIndex2)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29985, 29977])).
% 136.45/87.11 tff(29987,assumption,(v119(constB87)), introduced(assumption)).
% 136.45/87.11 tff(29988,assumption,(v84(constB87, bitIndex0)), introduced(assumption)).
% 136.45/87.11 tff(29989,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB87)) | (~v84(constB87, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB87)) | (~v84(constB87, bitIndex0)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(29990,plain,
% 136.45/87.11 (((~v84(constB87, bitIndex0)) | (~v119(constB87))) <=> ((~v119(constB87)) | (~v84(constB87, bitIndex0)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(29991,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB87)) | (~v84(constB87, bitIndex0))))),
% 136.45/87.11 inference(monotonicity,[status(thm)],[29990])).
% 136.45/87.11 tff(29992,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB87)) | (~v84(constB87, bitIndex0)))),
% 136.45/87.11 inference(transitivity,[status(thm)],[29991, 29989])).
% 136.45/87.11 tff(29993,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v119(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(29994,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB87)) | (~v84(constB87, bitIndex0))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[29993, 29992])).
% 136.45/87.11 tff(29995,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29994, 3173, 29988, 29987])).
% 136.45/87.11 tff(29996,plain,((~v119(constB87)) | (~v84(constB87, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(29997,plain,
% 136.45/87.11 (~v119(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29996, 29918])).
% 136.45/87.11 tff(29998,assumption,(v107(constB87)), introduced(assumption)).
% 136.45/87.11 tff(29999,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB87) | v119(constB87) | (~v107(constB87)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB87) | v119(constB87) | (~v107(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30000,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB87) | v119(constB87) | (~v107(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30001,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB87) | v119(constB87) | (~v107(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30000, 29999])).
% 136.45/87.11 tff(30002,plain,
% 136.45/87.11 (v108(constB87) | v119(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30001, 3195, 29998])).
% 136.45/87.11 tff(30003,plain,
% 136.45/87.11 (v108(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30002, 29997])).
% 136.45/87.11 tff(30004,assumption,(v172(constB87)), introduced(assumption)).
% 136.45/87.11 tff(30005,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v172(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v172(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30006,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v172(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30007,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v172(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30006, 30005])).
% 136.45/87.11 tff(30008,plain,
% 136.45/87.11 (~v84(constB87, bitIndex0)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30007, 7708, 30004])).
% 136.45/87.11 tff(30009,plain,
% 136.45/87.11 (~v84(constB86, bitIndex0)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29915, 777, 795, 29442, 29454, 30008])).
% 136.45/87.11 tff(30010,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB87, bitIndex2) | (~v172(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB87, bitIndex2) | (~v172(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30011,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB87, bitIndex2) | (~v172(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30012,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB87, bitIndex2) | (~v172(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30011, 30010])).
% 136.45/87.11 tff(30013,plain,
% 136.45/87.11 (v84(constB87, bitIndex2)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30012, 5263, 30004])).
% 136.45/87.11 tff(30014,plain,
% 136.45/87.11 (v84(constB86, bitIndex2)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29557, 805, 767, 29442, 29454, 30013])).
% 136.45/87.11 tff(30015,plain,
% 136.45/87.11 (~v84(constB87, bitIndex1)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29677, 2289, 30004])).
% 136.45/87.11 tff(30016,plain,
% 136.45/87.11 (~v84(constB86, bitIndex1)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29956, 777, 823, 29442, 29454, 30015])).
% 136.45/87.11 tff(30017,plain,
% 136.45/87.11 (~v106(constB85)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29823, 619, 29766])).
% 136.45/87.11 tff(30018,plain,
% 136.45/87.11 (~v26(constB85)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29827, 630, 29766])).
% 136.45/87.11 tff(30019,plain,
% 136.45/87.11 (~v107(constB85)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29834, 644, 30018, 30017])).
% 136.45/87.11 tff(30020,plain,
% 136.45/87.11 (v94(constB86) | (~v84(constB85, bitIndex0))),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29784, 777, 795, 29467, 29781])).
% 136.45/87.11 tff(30021,plain,
% 136.45/87.11 (~v84(constB85, bitIndex0)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30020, 29779])).
% 136.45/87.11 tff(30022,plain,
% 136.45/87.11 (v94(constB86) | (~v84(constB85, bitIndex1))),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29788, 777, 823, 29467, 29439])).
% 136.45/87.11 tff(30023,plain,
% 136.45/87.11 (~v84(constB85, bitIndex1)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30022, 29779])).
% 136.45/87.11 tff(30024,plain,
% 136.45/87.11 (v84(constB85, bitIndex2)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29471, 29779])).
% 136.45/87.11 tff(30025,plain,
% 136.45/87.11 (v172(constB85)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29873, 1047, 30024, 30023, 30021])).
% 136.45/87.11 tff(30026,plain,
% 136.45/87.11 (v109(constB85)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29869, 1033, 30025])).
% 136.45/87.11 tff(30027,plain,
% 136.45/87.11 (v108(constB85)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29842, 669, 30026])).
% 136.45/87.11 tff(30028,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29838, 658, 30027, 30019])).
% 136.45/87.11 tff(30029,plain,(v102(constB85) | v84(constB86, bitIndex0) | v84(constB86, bitIndex1) | (~v84(constB86, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30030,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30029, 30016, 30014, 29766, 30009])).
% 136.45/87.11 tff(30031,plain,((~v172(constB87)) | v102(constB85)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30032,plain,
% 136.45/87.11 (~v172(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30031, 29766])).
% 136.45/87.11 tff(30033,plain,
% 136.45/87.11 (~v118(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29682, 2842, 29220])).
% 136.45/87.11 tff(30034,assumption,(v108(constB87)), introduced(assumption)).
% 136.45/87.11 tff(30035,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB87) | v118(constB87) | (~v108(constB87)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB87) | v118(constB87) | (~v108(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30036,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB87) | v118(constB87) | (~v108(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30037,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB87) | v118(constB87) | (~v108(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30036, 30035])).
% 136.45/87.11 tff(30038,plain,
% 136.45/87.11 (v109(constB87) | v118(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30037, 2856, 30034])).
% 136.45/87.11 tff(30039,plain,
% 136.45/87.11 (v109(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30038, 30033])).
% 136.45/87.11 tff(30040,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB87)) | v172(constB87) | v110(constB87))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB87)) | v172(constB87) | v110(constB87))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30041,plain,
% 136.45/87.11 ((v110(constB87) | (~v109(constB87)) | v172(constB87)) <=> ((~v109(constB87)) | v172(constB87) | v110(constB87))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30042,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB87) | (~v109(constB87)) | v172(constB87))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB87)) | v172(constB87) | v110(constB87)))),
% 136.45/87.11 inference(monotonicity,[status(thm)],[30041])).
% 136.45/87.11 tff(30043,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB87) | (~v109(constB87)) | v172(constB87))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB87)) | v172(constB87) | v110(constB87))),
% 136.45/87.11 inference(transitivity,[status(thm)],[30042, 30040])).
% 136.45/87.11 tff(30044,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB87) | (~v109(constB87)) | v172(constB87))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30045,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB87)) | v172(constB87) | v110(constB87)),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30044, 30043])).
% 136.45/87.11 tff(30046,plain,
% 136.45/87.11 ((~v109(constB87)) | v110(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30045, 2871, 29690])).
% 136.45/87.11 tff(30047,plain,
% 136.45/87.11 (v110(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30046, 30039])).
% 136.45/87.11 tff(30048,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v113(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v113(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30049,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v113(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30050,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v113(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30049, 30048])).
% 136.45/87.11 tff(30051,plain,
% 136.45/87.11 (~v113(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30050, 2764, 29988])).
% 136.45/87.11 tff(30052,plain,
% 136.45/87.11 (~v145(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[29669, 816, 29220])).
% 136.45/87.11 tff(30053,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB87)) | v145(constB87) | v113(constB87))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB87)) | v145(constB87) | v113(constB87))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30054,plain,
% 136.45/87.11 ((v113(constB87) | (~v112(constB87)) | v145(constB87)) <=> ((~v112(constB87)) | v145(constB87) | v113(constB87))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30055,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB87) | (~v112(constB87)) | v145(constB87))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB87)) | v145(constB87) | v113(constB87)))),
% 136.45/87.11 inference(monotonicity,[status(thm)],[30054])).
% 136.45/87.11 tff(30056,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB87) | (~v112(constB87)) | v145(constB87))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB87)) | v145(constB87) | v113(constB87))),
% 136.45/87.11 inference(transitivity,[status(thm)],[30055, 30053])).
% 136.45/87.11 tff(30057,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB87) | (~v112(constB87)) | v145(constB87))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30058,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB87)) | v145(constB87) | v113(constB87)),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30057, 30056])).
% 136.45/87.11 tff(30059,plain,
% 136.45/87.11 (~v112(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30058, 2894, 30052, 30051])).
% 136.45/87.11 tff(30060,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB87) | v115(constB87) | (~v111(constB87)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB87) | v115(constB87) | (~v111(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30061,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB87) | v115(constB87) | (~v111(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30062,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB87) | v115(constB87) | (~v111(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30061, 30060])).
% 136.45/87.11 tff(30063,plain,
% 136.45/87.11 (v112(constB87) | (~v111(constB87))),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30062, 2911, 29222])).
% 136.45/87.11 tff(30064,plain,
% 136.45/87.11 (~v111(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30063, 30059])).
% 136.45/87.11 tff(30065,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB87, bitIndex2)) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB87, bitIndex2)) | (~v116(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30066,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB87, bitIndex2)) | (~v116(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30067,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB87, bitIndex2)) | (~v116(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30066, 30065])).
% 136.45/87.11 tff(30068,plain,
% 136.45/87.11 (~v116(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30067, 1130, 29551])).
% 136.45/87.11 tff(30069,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB87) | v116(constB87) | (~v110(constB87)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB87) | v116(constB87) | (~v110(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30070,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB87) | v116(constB87) | (~v110(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30071,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB87) | v116(constB87) | (~v110(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30070, 30069])).
% 136.45/87.11 tff(30072,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30071, 2932, 30068, 30064, 30047])).
% 136.45/87.11 tff(30073,plain,(v115(constB87) | v172(constB87) | (~v108(constB87)) | (~v84(constB87, bitIndex2)) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30074,plain,
% 136.45/87.11 (v115(constB87)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30073, 30032, 30003, 29986, 29959, 29918])).
% 136.45/87.11 tff(30075,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v115(constB87)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30076,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB87, bitIndex0)) | (~v115(constB87)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30077,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB87, bitIndex0)) | (~v115(constB87))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 136.45/87.11 tff(30078,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30077, 3011, 30074, 29918])).
% 136.45/87.11 tff(30079,plain,(v102(constB85) | (~v107(constB87))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30080,plain,
% 136.45/87.11 (v102(constB85)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30079, 29765])).
% 136.45/87.11 tff(30081,assumption,(v26(constB85)), introduced(assumption)).
% 136.45/87.11 tff(30082,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30083,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30082, 1172, 30081])).
% 136.45/87.11 tff(30084,plain,(~v26(constB85)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30085,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB85)) | v26(constB85) | v106(constB85))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB85)) | v26(constB85) | v106(constB85))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30086,plain,
% 136.45/87.11 ((v26(constB85) | v106(constB85) | (~v102(constB85))) <=> ((~v102(constB85)) | v26(constB85) | v106(constB85))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30087,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB85) | v106(constB85) | (~v102(constB85)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB85)) | v26(constB85) | v106(constB85)))),
% 136.45/87.11 inference(monotonicity,[status(thm)],[30086])).
% 136.45/87.11 tff(30088,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB85) | v106(constB85) | (~v102(constB85)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB85)) | v26(constB85) | v106(constB85))),
% 136.45/87.11 inference(transitivity,[status(thm)],[30087, 30085])).
% 136.45/87.11 tff(30089,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB85) | v106(constB85) | (~v102(constB85)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30090,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB85)) | v26(constB85) | v106(constB85)),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30089, 30088])).
% 136.45/87.11 tff(30091,plain,
% 136.45/87.11 ((~v102(constB85)) | v106(constB85)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30090, 3146, 30084])).
% 136.45/87.11 tff(30092,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30091, 30080, 28803])).
% 136.45/87.11 tff(30093,plain,(v107(constB83) | (~v94(constB82))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30094,plain,
% 136.45/87.11 (~v94(constB82)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30093, 28383])).
% 136.45/87.11 tff(30095,assumption,(~v102(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30096,plain,
% 136.45/87.11 (~v106(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28134, 619, 30095])).
% 136.45/87.11 tff(30097,plain,
% 136.45/87.11 (~v26(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28138, 630, 30095])).
% 136.45/87.11 tff(30098,assumption,(v107(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30099,plain,
% 136.45/87.11 (v26(constB81) | v106(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28145, 644, 30098])).
% 136.45/87.11 tff(30100,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30099, 30097, 30096])).
% 136.45/87.11 tff(30101,plain,(v102(constB81) | (~v107(constB81))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30102,plain,
% 136.45/87.11 (~v107(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30101, 28131])).
% 136.45/87.11 tff(30103,assumption,(v108(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30104,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28149, 658, 28301, 30103])).
% 136.45/87.11 tff(30105,plain,(v107(constB81) | (~v108(constB81))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30106,plain,
% 136.45/87.11 (~v108(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30105, 28301])).
% 136.45/87.11 tff(30107,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB81) | (~v118(constB81)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB81) | (~v118(constB81)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30108,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB81) | (~v118(constB81)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30109,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB81) | (~v118(constB81))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30108, 30107])).
% 136.45/87.11 tff(30110,plain,
% 136.45/87.11 (~v118(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30109, 1004, 30106])).
% 136.45/87.11 tff(30111,assumption,(~v108(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30112,assumption,(v109(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30113,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28153, 669, 30112, 30111])).
% 136.45/87.11 tff(30114,plain,(v108(constB81) | (~v109(constB81))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30115,plain,
% 136.45/87.11 (~v109(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30114, 30106])).
% 136.45/87.11 tff(30116,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB81) | (~v172(constB81)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB81) | (~v172(constB81)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30117,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB81) | (~v172(constB81)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30118,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB81) | (~v172(constB81))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30117, 30116])).
% 136.45/87.11 tff(30119,plain,
% 136.45/87.11 (~v172(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30118, 1033, 30115])).
% 136.45/87.11 tff(30120,assumption,(v119(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30121,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB81) | (~v119(constB81)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB81) | (~v119(constB81)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30122,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB81) | (~v119(constB81)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30123,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB81) | (~v119(constB81))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30122, 30121])).
% 136.45/87.11 tff(30124,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30123, 1927, 30120, 28301])).
% 136.45/87.11 tff(30125,plain,(v107(constB81) | (~v119(constB81))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30126,plain,
% 136.45/87.11 (~v119(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30125, 28301])).
% 136.45/87.11 tff(30127,plain,
% 136.45/87.11 (~v110(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28157, 680, 30115])).
% 136.45/87.11 tff(30128,plain,
% 136.45/87.11 (~v111(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28173, 691, 30127])).
% 136.45/87.11 tff(30129,plain,
% 136.45/87.11 (~v115(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28177, 945, 30128])).
% 136.45/87.11 tff(30130,assumption,(~v119(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30131,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB81) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB81) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30132,plain,
% 136.45/87.11 ((v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)) | v119(constB81)) <=> (v119(constB81) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30133,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)) | v119(constB81))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB81) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2))))),
% 136.45/87.11 inference(monotonicity,[status(thm)],[30132])).
% 136.45/87.11 tff(30134,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)) | v119(constB81))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB81) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)))),
% 136.45/87.11 inference(transitivity,[status(thm)],[30133, 30131])).
% 136.45/87.11 tff(30135,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2)) | v119(constB81))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30136,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB81) | v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30135, 30134])).
% 136.45/87.11 tff(30137,plain,
% 136.45/87.11 (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | (~v84(constB81, bitIndex2))),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30136, 1910, 30130])).
% 136.45/87.11 tff(30138,plain,
% 136.45/87.11 (~v84(constB81, bitIndex2)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30137, 28018, 28037])).
% 136.45/87.11 tff(30139,assumption,(~v115(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30140,plain,
% 136.45/87.11 (v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v84(constB81, bitIndex2)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28181, 1095, 30139])).
% 136.45/87.11 tff(30141,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30140, 30138, 28018, 28037])).
% 136.45/87.11 tff(30142,plain,(v84(constB81, bitIndex0) | (~v84(constB81, bitIndex1)) | v115(constB81) | v119(constB81)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30143,plain,
% 136.45/87.11 (~v84(constB81, bitIndex1)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30142, 30129, 28018, 30126])).
% 136.45/87.11 tff(30144,assumption,(~v109(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30145,plain,
% 136.45/87.11 (~v110(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28157, 680, 30144])).
% 136.45/87.11 tff(30146,plain,
% 136.45/87.11 (~v111(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28173, 691, 30145])).
% 136.45/87.11 tff(30147,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB81) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB81) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30148,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB81) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30149,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB81) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2)),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30148, 30147])).
% 136.45/87.11 tff(30150,plain,
% 136.45/87.11 (v113(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30149, 983, 27933, 28018, 28364])).
% 136.45/87.11 tff(30151,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB81) | (~v113(constB81)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB81) | (~v113(constB81)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30152,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB81) | (~v113(constB81)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30153,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB81) | (~v113(constB81))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30152, 30151])).
% 136.45/87.11 tff(30154,plain,
% 136.45/87.11 (v112(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30153, 969, 30150])).
% 136.45/87.11 tff(30155,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB81) | (~v112(constB81)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB81) | (~v112(constB81)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30156,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB81) | (~v112(constB81)))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30157,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB81) | (~v112(constB81))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30156, 30155])).
% 136.45/87.11 tff(30158,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30157, 702, 30154, 30146])).
% 136.45/87.11 tff(30159,plain,(v109(constB81) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0) | v84(constB81, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30160,plain,
% 136.45/87.11 (v84(constB81, bitIndex2)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30159, 30143, 30115, 28018])).
% 136.45/87.11 tff(30161,assumption,(v84(constB81, bitIndex2)), introduced(assumption)).
% 136.45/87.11 tff(30162,assumption,(~v118(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30163,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81) | (~v84(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81) | (~v84(constB81, bitIndex0)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30164,plain,
% 136.45/87.11 (((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81)) <=> (v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81) | (~v84(constB81, bitIndex0)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30165,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81) | (~v84(constB81, bitIndex0))))),
% 136.45/87.11 inference(monotonicity,[status(thm)],[30164])).
% 136.45/87.11 tff(30166,plain,
% 136.45/87.11 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81) | (~v84(constB81, bitIndex0)))),
% 136.45/87.11 inference(transitivity,[status(thm)],[30165, 30163])).
% 136.45/87.11 tff(30167,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30168,plain,
% 136.45/87.11 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v118(constB81) | (~v84(constB81, bitIndex0))),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30167, 30166])).
% 136.45/87.11 tff(30169,plain,
% 136.45/87.11 (v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | (~v84(constB81, bitIndex0))),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30168, 1018, 30162])).
% 136.45/87.11 tff(30170,plain,
% 136.45/87.11 (~v84(constB81, bitIndex0)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30169, 27933, 30161])).
% 136.45/87.11 tff(30171,assumption,(~v172(constB81)), introduced(assumption)).
% 136.45/87.11 tff(30172,plain,
% 136.45/87.11 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30173,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81))),
% 136.45/87.11 inference(quant_inst,[status(thm)],[])).
% 136.45/87.11 tff(30174,plain,
% 136.45/87.11 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81)),
% 136.45/87.11 inference(modus_ponens,[status(thm)],[30173, 30172])).
% 136.45/87.11 tff(30175,plain,
% 136.45/87.11 (v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2))),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30174, 1047, 30171])).
% 136.45/87.11 tff(30176,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30175, 30170, 27933, 30161])).
% 136.45/87.11 tff(30177,plain,(v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)) | v172(constB81) | v118(constB81)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30178,plain,
% 136.45/87.11 ($false),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30177, 30160, 30143, 30119, 30110])).
% 136.45/87.11 tff(30179,plain,(v107(constB81) | v84(constB81, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.11 tff(30180,plain,
% 136.45/87.11 (v84(constB81, bitIndex0)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30179, 30102])).
% 136.45/87.11 tff(30181,plain,
% 136.45/87.11 (v84(constB82, bitIndex0)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28214, 30180, 28038])).
% 136.45/87.11 tff(30182,plain,
% 136.45/87.11 (~v84(constB81, bitIndex1)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28273, 30180, 28036, 28038])).
% 136.45/87.11 tff(30183,plain,
% 136.45/87.11 (~v108(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30105, 30102])).
% 136.45/87.11 tff(30184,plain,
% 136.45/87.11 (~v109(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[30114, 30183])).
% 136.45/87.11 tff(30185,plain,
% 136.45/87.11 (~v110(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28157, 680, 30184])).
% 136.45/87.11 tff(30186,plain,
% 136.45/87.11 (~v111(constB81)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28173, 691, 30185])).
% 136.45/87.11 tff(30187,plain,
% 136.45/87.11 (v84(constB82, bitIndex2)),
% 136.45/87.11 inference(unit_resolution,[status(thm)],[28816, 805, 767, 28059, 28071, 28185])).
% 136.45/87.11 tff(30188,plain,
% 136.45/87.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB82, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB82, bitIndex2)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30189,plain,
% 136.45/87.11 (((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB82, bitIndex2)) | v84(constB81, bitIndex2)) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB82, bitIndex2)))),
% 136.45/87.11 inference(rewrite,[status(thm)],[])).
% 136.45/87.11 tff(30190,plain,
% 136.45/87.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB82, bitIndex2)) | v84(constB81, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB82, bitIndex2))))),
% 136.45/87.11 inference(monotonicity,[status(thm)],[30189])).
% 136.45/87.11 tff(30191,plain,
% 136.45/87.11 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB82, bitIndex2)) | v84(constB81, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB82, bitIndex2)))),
% 136.45/87.11 inference(transitivity,[status(thm)],[30190, 30188])).
% 136.45/87.11 tff(30192,plain,
% 136.45/87.11 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | (~v84(constB82, bitIndex2)) | v84(constB81, bitIndex2))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30193,plain,
% 136.45/87.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex2)) | v84(constB81, bitIndex2) | (~v84(constB82, bitIndex2))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30192, 30191])).
% 136.45/87.12 tff(30194,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30193, 805, 767, 28042, 28038, 30187, 28364])).
% 136.45/87.12 tff(30195,plain,(v94(constB82) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30196,plain,
% 136.45/87.12 (~v84(constB81, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30195, 28038, 28364])).
% 136.45/87.12 tff(30197,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB81) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB81) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30198,plain,
% 136.45/87.12 (((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v145(constB81)) <=> (v145(constB81) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30199,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v145(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB81) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0))))),
% 136.45/87.12 inference(monotonicity,[status(thm)],[30198])).
% 136.45/87.12 tff(30200,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v145(constB81))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB81) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)))),
% 136.45/87.12 inference(transitivity,[status(thm)],[30199, 30197])).
% 136.45/87.12 tff(30201,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB81, bitIndex0)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | v145(constB81))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30202,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB81) | v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30201, 30200])).
% 136.45/87.12 tff(30203,plain,
% 136.45/87.12 (v145(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30202, 865, 30196, 30180, 28364])).
% 136.45/87.12 tff(30204,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB81) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB81) | (~v145(constB81)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30205,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB81) | (~v145(constB81)))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30206,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB81) | (~v145(constB81))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30205, 30204])).
% 136.45/87.12 tff(30207,plain,
% 136.45/87.12 (v112(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30206, 713, 30203])).
% 136.45/87.12 tff(30208,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30157, 702, 30207, 30186])).
% 136.45/87.12 tff(30209,plain,(v94(constB82) | v84(constB81, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30210,plain,
% 136.45/87.12 (v84(constB81, bitIndex2)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30209, 28038])).
% 136.45/87.12 tff(30211,plain,
% 136.45/87.12 (~v118(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30109, 1004, 30183])).
% 136.45/87.12 tff(30212,plain,
% 136.45/87.12 (v172(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30177, 30211, 30210, 30182])).
% 136.45/87.12 tff(30213,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v172(constB81)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB81, bitIndex0)) | (~v172(constB81)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30214,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB81, bitIndex0)) | (~v172(constB81)))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30215,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB81, bitIndex0)) | (~v172(constB81))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30214, 30213])).
% 136.45/87.12 tff(30216,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30215, 7708, 30180, 30212])).
% 136.45/87.12 tff(30217,plain,(v94(constB82) | (~v107(constB83))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30218,plain,
% 136.45/87.12 (~v107(constB83)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30217, 28038])).
% 136.45/87.12 tff(30219,plain,
% 136.45/87.12 (~v106(constB83)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28387, 3161, 30218])).
% 136.45/87.12 tff(30220,plain,
% 136.45/87.12 (~v102(constB83)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28399, 30219])).
% 136.45/87.12 tff(30221,plain,
% 136.45/87.12 (~v104(constB84)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28410, 30220])).
% 136.45/87.12 tff(30222,plain,
% 136.45/87.12 (~v94(constB84)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28415, 30221])).
% 136.45/87.12 tff(30223,plain,
% 136.45/87.12 (~v84(constB83, bitIndex2)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28664, 30222, 28656])).
% 136.45/87.12 tff(30224,plain,
% 136.45/87.12 (~v84(constB82, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28184, 30223, 28038])).
% 136.45/87.12 tff(30225,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28092, 777, 767, 28059, 28071, 28089, 28833])).
% 136.45/87.12 tff(30226,plain,(v84(constB83, bitIndex2) | (~v84(constB82, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30227,plain,
% 136.45/87.12 (~v84(constB82, bitIndex2)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30226, 30223])).
% 136.45/87.12 tff(30228,plain,
% 136.45/87.12 (v94(constB82) | (~v84(constB81, bitIndex1))),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28048, 777, 823, 28042, 28039])).
% 136.45/87.12 tff(30229,plain,
% 136.45/87.12 (~v84(constB81, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30228, 28038])).
% 136.45/87.12 tff(30230,plain,
% 136.45/87.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB82, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB82, bitIndex0)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30231,plain,
% 136.45/87.12 (((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB82, bitIndex0)) | v84(constB81, bitIndex0)) <=> ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB82, bitIndex0)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30232,plain,
% 136.45/87.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB82, bitIndex0)) | v84(constB81, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB82, bitIndex0))))),
% 136.45/87.12 inference(monotonicity,[status(thm)],[30231])).
% 136.45/87.12 tff(30233,plain,
% 136.45/87.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB82, bitIndex0)) | v84(constB81, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB82, bitIndex0)))),
% 136.45/87.12 inference(transitivity,[status(thm)],[30232, 30230])).
% 136.45/87.12 tff(30234,plain,
% 136.45/87.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | (~v84(constB82, bitIndex0)) | v84(constB81, bitIndex0))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30235,plain,
% 136.45/87.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB81, constB82)) | v94(constB82) | (~less_3(bitIndex0)) | v84(constB81, bitIndex0) | (~v84(constB82, bitIndex0))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30234, 30233])).
% 136.45/87.12 tff(30236,plain,
% 136.45/87.12 (v94(constB82) | v84(constB81, bitIndex0)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30235, 805, 795, 28042, 28216])).
% 136.45/87.12 tff(30237,plain,
% 136.45/87.12 (v84(constB81, bitIndex0)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30236, 28038])).
% 136.45/87.12 tff(30238,plain,
% 136.45/87.12 (v94(constB82) | (~v84(constB81, bitIndex2))),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28099, 777, 767, 28042, 28813])).
% 136.45/87.12 tff(30239,plain,
% 136.45/87.12 (~v84(constB81, bitIndex2)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30238, 28038])).
% 136.45/87.12 tff(30240,assumption,(~v145(constB81)), introduced(assumption)).
% 136.45/87.12 tff(30241,plain,
% 136.45/87.12 (v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0))),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30202, 865, 30240])).
% 136.45/87.12 tff(30242,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30241, 30239, 30237, 30229])).
% 136.45/87.12 tff(30243,plain,(v94(constB82) | v145(constB81) | v84(constB82, bitIndex1) | v84(constB82, bitIndex2) | (~v84(constB82, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30244,plain,
% 136.45/87.12 (v145(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30243, 28038, 28039, 28813, 28216])).
% 136.45/87.12 tff(30245,plain,
% 136.45/87.12 (v112(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30206, 713, 30244])).
% 136.45/87.12 tff(30246,plain,
% 136.45/87.12 (v111(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30157, 702, 30245])).
% 136.45/87.12 tff(30247,plain,
% 136.45/87.12 (v110(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28173, 691, 30246])).
% 136.45/87.12 tff(30248,assumption,(v18(constB82)), introduced(assumption)).
% 136.45/87.12 tff(30249,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB82))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30250,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30249, 123, 30248])).
% 136.45/87.12 tff(30251,plain,(~v18(constB82)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30252,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30253,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB82) | (~v1(constB82)))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30254,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB82) | (~v1(constB82))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30253, 30252])).
% 136.45/87.12 tff(30255,plain,
% 136.45/87.12 (v22(constB82)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30254, 133, 28112])).
% 136.45/87.12 tff(30256,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB82)) | (~v22(constB82)) | v18(constB82))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB82)) | (~v22(constB82)) | v18(constB82))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30257,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB82)) | (~v22(constB82)) | v18(constB82))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30258,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB82)) | (~v22(constB82)) | v18(constB82)),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30257, 30256])).
% 136.45/87.12 tff(30259,plain,
% 136.45/87.12 ((~v19(constB82)) | v18(constB82)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30258, 147, 30255])).
% 136.45/87.12 tff(30260,plain,
% 136.45/87.12 (~v19(constB82)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30259, 30251])).
% 136.45/87.12 tff(30261,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30262,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB82) | v19(constB82))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30263,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB82) | v19(constB82)),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30262, 30261])).
% 136.45/87.12 tff(30264,plain,
% 136.45/87.12 (v13(constB82)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30263, 162, 30260])).
% 136.45/87.12 tff(30265,plain,
% 136.45/87.12 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30266,plain,
% 136.45/87.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30267,plain,
% 136.45/87.12 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB81, constB82)) | (~v13(constB82)) | v9(constB81)),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30266, 30265])).
% 136.45/87.12 tff(30268,plain,
% 136.45/87.12 ((~v13(constB82)) | v9(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30267, 176, 28042])).
% 136.45/87.12 tff(30269,plain,
% 136.45/87.12 (v9(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30268, 30264])).
% 136.45/87.12 tff(30270,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30271,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | (v1(constB81) | (~v9(constB81)) | v141(constB81))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30272,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v141(VarCurr))) | v1(constB81) | (~v9(constB81)) | v141(constB81)),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30271, 30270])).
% 136.45/87.12 tff(30273,plain,
% 136.45/87.12 ((~v9(constB81)) | v141(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30272, 194, 27936])).
% 136.45/87.12 tff(30274,plain,
% 136.45/87.12 (v141(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30273, 30269])).
% 136.45/87.12 tff(30275,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB81)) | v144(constB81) | (~v145(constB81)))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (~v141(constB81)) | v144(constB81) | (~v145(constB81)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30276,plain,
% 136.45/87.12 (((~v141(constB81)) | (~v145(constB81)) | v144(constB81)) <=> ((~v141(constB81)) | v144(constB81) | (~v145(constB81)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30277,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB81)) | (~v145(constB81)) | v144(constB81))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB81)) | v144(constB81) | (~v145(constB81))))),
% 136.45/87.12 inference(monotonicity,[status(thm)],[30276])).
% 136.45/87.12 tff(30278,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB81)) | (~v145(constB81)) | v144(constB81))) <=> ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (~v141(constB81)) | v144(constB81) | (~v145(constB81)))),
% 136.45/87.12 inference(transitivity,[status(thm)],[30277, 30275])).
% 136.45/87.12 tff(30279,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | ((~v141(constB81)) | (~v145(constB81)) | v144(constB81))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30280,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v141(VarCurr)) | (~v145(VarCurr)) | v144(VarCurr))) | (~v141(constB81)) | v144(constB81) | (~v145(constB81))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30279, 30278])).
% 136.45/87.12 tff(30281,plain,
% 136.45/87.12 (v144(constB81) | (~v145(constB81))),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30280, 18010, 30274])).
% 136.45/87.12 tff(30282,plain,
% 136.45/87.12 (v144(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30281, 30244])).
% 136.45/87.12 tff(30283,assumption,(~v142(constB81)), introduced(assumption)).
% 136.45/87.12 tff(30284,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB81) | v142(constB81) | (~v144(constB81)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB81) | v142(constB81) | (~v144(constB81)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30285,plain,
% 136.45/87.12 ((v26(constB81) | (~v144(constB81)) | v142(constB81)) <=> (v26(constB81) | v142(constB81) | (~v144(constB81)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30286,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB81) | (~v144(constB81)) | v142(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB81) | v142(constB81) | (~v144(constB81))))),
% 136.45/87.12 inference(monotonicity,[status(thm)],[30285])).
% 136.45/87.12 tff(30287,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB81) | (~v144(constB81)) | v142(constB81))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB81) | v142(constB81) | (~v144(constB81)))),
% 136.45/87.12 inference(transitivity,[status(thm)],[30286, 30284])).
% 136.45/87.12 tff(30288,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | (v26(constB81) | (~v144(constB81)) | v142(constB81))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30289,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v26(VarCurr) | (~v144(VarCurr)) | v142(VarCurr))) | v26(constB81) | v142(constB81) | (~v144(constB81))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30288, 30287])).
% 136.45/87.12 tff(30290,plain,
% 136.45/87.12 (v26(constB81) | (~v144(constB81))),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30289, 17990, 30283])).
% 136.45/87.12 tff(30291,plain,
% 136.45/87.12 (v26(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30290, 30282])).
% 136.45/87.12 tff(30292,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28138, 630, 28131, 30291])).
% 136.45/87.12 tff(30293,plain,(v94(constB82) | v142(constB81) | v84(constB82, bitIndex1) | v84(constB82, bitIndex2) | (~v84(constB82, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30294,plain,
% 136.45/87.12 (v142(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30293, 28038, 28039, 28813, 28216])).
% 136.45/87.12 tff(30295,plain,
% 136.45/87.12 (^[VarCurr: $i] : refl(((~v26(VarCurr)) | (~v142(VarCurr))) <=> ((~v26(VarCurr)) | (~v142(VarCurr))))),
% 136.45/87.12 inference(bind,[status(th)],[])).
% 136.45/87.12 tff(30296,plain,
% 136.45/87.12 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))),
% 136.45/87.12 inference(quant_intro,[status(thm)],[30295])).
% 136.45/87.12 tff(30297,plain,
% 136.45/87.12 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr))) <=> ![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30298,axiom,(![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_32_1_1_3')).
% 136.45/87.12 tff(30299,plain,
% 136.45/87.12 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30298, 30297])).
% 136.45/87.12 tff(30300,plain,(
% 136.45/87.12 ![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))),
% 136.45/87.12 inference(skolemize,[status(sab)],[30299])).
% 136.45/87.12 tff(30301,plain,
% 136.45/87.12 (![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30300, 30296])).
% 136.45/87.12 tff(30302,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))) | ((~v26(constB81)) | (~v142(constB81)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))) | (~v26(constB81)) | (~v142(constB81)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30303,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))) | ((~v26(constB81)) | (~v142(constB81)))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30304,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))) | (~v26(constB81)) | (~v142(constB81))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30303, 30302])).
% 136.45/87.12 tff(30305,plain,
% 136.45/87.12 (~v26(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30304, 30301, 30294])).
% 136.45/87.12 tff(30306,plain,
% 136.45/87.12 (~v107(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28145, 644, 30305, 28135])).
% 136.45/87.12 tff(30307,plain,
% 136.45/87.12 (~v108(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28149, 658, 30306])).
% 136.45/87.12 tff(30308,plain,
% 136.45/87.12 (~v109(constB81)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28153, 669, 30307])).
% 136.45/87.12 tff(30309,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28157, 680, 30308, 30247])).
% 136.45/87.12 tff(30310,plain,(v94(constB82) | v84(constB82, bitIndex1) | v84(constB82, bitIndex2) | (~v84(constB82, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30311,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30310, 30227, 30224, 28038, 30181])).
% 136.45/87.12 tff(30312,plain,(v94(constB82) | v84(constB84, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30313,plain,
% 136.45/87.12 (v84(constB84, bitIndex2)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30312, 30094])).
% 136.45/87.12 tff(30314,plain,
% 136.45/87.12 (v84(constB85, bitIndex2)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28672, 30313])).
% 136.45/87.12 tff(30315,plain,
% 136.45/87.12 (~v107(constB85)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28798, 28383])).
% 136.45/87.12 tff(30316,plain,
% 136.45/87.12 (~v106(constB85)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[28802, 3161, 30315])).
% 136.45/87.12 tff(30317,plain,
% 136.45/87.12 (~v102(constB85)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30091, 30316])).
% 136.45/87.12 tff(30318,plain,
% 136.45/87.12 (~v107(constB87)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30079, 30317])).
% 136.45/87.12 tff(30319,plain,
% 136.45/87.12 (~v106(constB87)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29764, 3161, 30318])).
% 136.45/87.12 tff(30320,plain,
% 136.45/87.12 (~v102(constB87)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29760, 30319])).
% 136.45/87.12 tff(30321,plain,
% 136.45/87.12 (~v108(constB87)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29113, 658, 30318])).
% 136.45/87.12 tff(30322,assumption,(~v108(constB87)), introduced(assumption)).
% 136.45/87.12 tff(30323,plain,
% 136.45/87.12 (v94(constB94)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[18273, 15214])).
% 136.45/87.12 tff(30324,plain,
% 136.45/87.12 (v104(constB94)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17251, 30323])).
% 136.45/87.12 tff(30325,plain,
% 136.45/87.12 (v102(constB93)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17259, 30324])).
% 136.45/87.12 tff(30326,plain,
% 136.45/87.12 (v106(constB93)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17267, 30325])).
% 136.45/87.12 tff(30327,plain,
% 136.45/87.12 (v107(constB93)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17271, 3161, 30326])).
% 136.45/87.12 tff(30328,assumption,(v108(constB91)), introduced(assumption)).
% 136.45/87.12 tff(30329,assumption,(~v107(constB91)), introduced(assumption)).
% 136.45/87.12 tff(30330,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[16207, 658, 30329, 30328])).
% 136.45/87.12 tff(30331,plain,(v107(constB91) | (~v108(constB91))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30332,plain,
% 136.45/87.12 (~v108(constB91)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30331, 16204])).
% 136.45/87.12 tff(30333,plain,
% 136.45/87.12 (~v109(constB91)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[16811, 30332])).
% 136.45/87.12 tff(30334,plain,
% 136.45/87.12 (v84(constB91, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17159, 30333, 16994])).
% 136.45/87.12 tff(30335,plain,
% 136.45/87.12 (v84(constB92, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[16259, 30334, 16154])).
% 136.45/87.12 tff(30336,plain,
% 136.45/87.12 (v84(constB93, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[16133, 30335])).
% 136.45/87.12 tff(30337,plain,
% 136.45/87.12 (~v84(constB93, bitIndex0)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17243, 30336, 17212, 17163, 16803, 18829])).
% 136.45/87.12 tff(30338,plain,
% 136.45/87.12 (~v84(constB92, bitIndex0)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17181, 30337])).
% 136.45/87.12 tff(30339,plain,
% 136.45/87.12 (~v84(constB91, bitIndex0)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17177, 30338, 16154])).
% 136.45/87.12 tff(30340,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[17173, 1910, 30339, 30334, 15717, 16819])).
% 136.45/87.12 tff(30341,plain,(v94(constB92) | v119(constB91) | (~v107(constB93)) | v145(constB91)), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30342,plain,
% 136.45/87.12 (v94(constB92)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30341, 16994, 17212, 15717])).
% 136.45/87.12 tff(30343,plain,
% 136.45/87.12 (v84(constB91, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[16847, 29561])).
% 136.45/87.12 tff(30344,plain,
% 136.45/87.12 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB91, bitIndex1)) | (~v118(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB91, bitIndex1)) | (~v118(constB91)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30345,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB91, bitIndex1)) | (~v118(constB91)))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30346,plain,
% 136.45/87.12 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB91, bitIndex1)) | (~v118(constB91))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30345, 30344])).
% 136.45/87.12 tff(30347,plain,
% 136.45/87.12 (~v118(constB91)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30346, 2842, 30343])).
% 136.45/87.12 tff(30348,plain,
% 136.45/87.12 (v94(constB90) | v84(constB89, bitIndex0)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29633, 805, 795, 16855, 17015])).
% 136.45/87.12 tff(30349,plain,
% 136.45/87.12 (v84(constB89, bitIndex0)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30348, 16849])).
% 136.45/87.12 tff(30350,plain,
% 136.45/87.12 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB89)) | v124(constB89, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB89)) | v124(constB89, bitIndex0))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30351,plain,
% 136.45/87.12 (((~v115(constB89)) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB89)) | v124(constB89, bitIndex0))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30352,plain,
% 136.45/87.12 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB89)) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB89)) | v124(constB89, bitIndex0)))),
% 136.45/87.12 inference(monotonicity,[status(thm)],[30351])).
% 136.45/87.12 tff(30353,plain,
% 136.45/87.12 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB89)) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB89)) | v124(constB89, bitIndex0))),
% 136.45/87.12 inference(transitivity,[status(thm)],[30352, 30350])).
% 136.45/87.12 tff(30354,plain,
% 136.45/87.12 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB89)) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b011(bitIndex0)))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30355,plain,
% 136.45/87.12 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB89)) | v124(constB89, bitIndex0)),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30354, 30353])).
% 136.45/87.12 tff(30356,plain,
% 136.45/87.12 ($false),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30355, 1148, 1193, 795, 17093, 17031])).
% 136.45/87.12 tff(30357,plain,(v124(constB89, bitIndex0) | (~v115(constB89))), inference(lemma,lemma(discharge,[]))).
% 136.45/87.12 tff(30358,plain,
% 136.45/87.12 (~v115(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30357, 17031])).
% 136.45/87.12 tff(30359,plain,
% 136.45/87.12 (~v116(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29643, 934, 16914])).
% 136.45/87.12 tff(30360,plain,
% 136.45/87.12 (~v119(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29622, 1927, 16902])).
% 136.45/87.12 tff(30361,plain,
% 136.45/87.12 (v94(constB90)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29581, 16939])).
% 136.45/87.12 tff(30362,plain,
% 136.45/87.12 (v104(constB90)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29717, 30361])).
% 136.45/87.12 tff(30363,plain,
% 136.45/87.12 (v102(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29725, 30362])).
% 136.45/87.12 tff(30364,plain,
% 136.45/87.12 (v106(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29733, 30363])).
% 136.45/87.12 tff(30365,plain,
% 136.45/87.12 (v107(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29737, 3161, 30364])).
% 136.45/87.12 tff(30366,assumption,(~v119(constB89)), introduced(assumption)).
% 136.45/87.12 tff(30367,plain,
% 136.45/87.12 (v108(constB89) | (~v107(constB89))),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29303, 3195, 30366])).
% 136.45/87.12 tff(30368,plain,
% 136.45/87.12 (v108(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30367, 30365])).
% 136.45/87.12 tff(30369,plain,
% 136.45/87.12 (v109(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29309, 30368])).
% 136.45/87.12 tff(30370,plain,
% 136.45/87.12 (v110(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29317, 30369])).
% 136.45/87.12 tff(30371,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB89, bitIndex1) | (~v116(constB89)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB89, bitIndex1) | (~v116(constB89)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30372,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB89, bitIndex1) | (~v116(constB89)))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30373,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB89, bitIndex1) | (~v116(constB89))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30372, 30371])).
% 136.45/87.12 tff(30374,plain,
% 136.45/87.12 (~v116(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30373, 1268, 16939])).
% 136.45/87.12 tff(30375,plain,
% 136.45/87.12 (v111(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29294, 2932, 30374, 30370])).
% 136.45/87.12 tff(30376,plain,
% 136.45/87.12 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB89, bitIndex1) | (~v115(constB89)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB89, bitIndex1) | (~v115(constB89)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30377,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB89, bitIndex1) | (~v115(constB89)))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30378,plain,
% 136.45/87.12 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB89, bitIndex1) | (~v115(constB89))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30377, 30376])).
% 136.45/87.12 tff(30379,plain,
% 136.45/87.12 (~v115(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30378, 11343, 16939])).
% 136.45/87.12 tff(30380,plain,
% 136.45/87.12 (v112(constB89)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[29323, 2911, 30379, 30375])).
% 136.45/87.12 tff(30381,plain,
% 136.45/87.12 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB90)) | (~v84(constB90, bitIndex1)) | v123(constB90, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB90)) | (~v84(constB90, bitIndex1)) | v123(constB90, bitIndex1))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30382,plain,
% 136.45/87.12 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB90)) | (~v84(constB90, bitIndex1)) | v123(constB90, bitIndex1))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30383,plain,
% 136.45/87.12 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB90)) | (~v84(constB90, bitIndex1)) | v123(constB90, bitIndex1)),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30382, 30381])).
% 136.45/87.12 tff(30384,plain,
% 136.45/87.12 ((~v94(constB90)) | v123(constB90, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30383, 1344, 823, 16827])).
% 136.45/87.12 tff(30385,plain,
% 136.45/87.12 (v123(constB90, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30384, 30361])).
% 136.45/87.12 tff(30386,plain,
% 136.45/87.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v123(constB90, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v123(constB90, bitIndex1)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30387,plain,
% 136.45/87.12 (((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | (~v123(constB90, bitIndex1)) | v121(constB89, bitIndex1)) <=> ((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v123(constB90, bitIndex1)))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30388,plain,
% 136.45/87.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | (~v123(constB90, bitIndex1)) | v121(constB89, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v123(constB90, bitIndex1))))),
% 136.45/87.12 inference(monotonicity,[status(thm)],[30387])).
% 136.45/87.12 tff(30389,plain,
% 136.45/87.12 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | (~v123(constB90, bitIndex1)) | v121(constB89, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v123(constB90, bitIndex1)))),
% 136.45/87.12 inference(transitivity,[status(thm)],[30388, 30386])).
% 136.45/87.12 tff(30390,plain,
% 136.45/87.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | (~v123(constB90, bitIndex1)) | v121(constB89, bitIndex1))),
% 136.45/87.12 inference(quant_inst,[status(thm)],[])).
% 136.45/87.12 tff(30391,plain,
% 136.45/87.12 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex1)) | v121(constB89, bitIndex1) | (~v123(constB90, bitIndex1))),
% 136.45/87.12 inference(modus_ponens,[status(thm)],[30390, 30389])).
% 136.45/87.12 tff(30392,plain,
% 136.45/87.12 (v121(constB89, bitIndex1)),
% 136.45/87.12 inference(unit_resolution,[status(thm)],[30391, 1362, 823, 16855, 30385])).
% 136.45/87.12 tff(30393,plain,
% 136.45/87.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex1)) | (~v121(constB89, bitIndex1)) | v124(constB89, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex1)) | (~v121(constB89, bitIndex1)) | v124(constB89, bitIndex1))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30394,plain,
% 136.45/87.12 ((v26(constB89) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~v121(constB89, bitIndex1))) <=> (v26(constB89) | (~less_3(bitIndex1)) | (~v121(constB89, bitIndex1)) | v124(constB89, bitIndex1))),
% 136.45/87.12 inference(rewrite,[status(thm)],[])).
% 136.45/87.12 tff(30395,plain,
% 136.45/87.12 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~v121(constB89, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex1)) | (~v121(constB89, bitIndex1)) | v124(constB89, bitIndex1)))),
% 136.45/87.12 inference(monotonicity,[status(thm)],[30394])).
% 136.49/87.13 tff(30396,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~v121(constB89, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex1)) | (~v121(constB89, bitIndex1)) | v124(constB89, bitIndex1))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30395, 30393])).
% 136.49/87.13 tff(30397,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex1)) | v124(constB89, bitIndex1) | (~v121(constB89, bitIndex1)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30398,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex1)) | (~v121(constB89, bitIndex1)) | v124(constB89, bitIndex1)),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 136.49/87.13 tff(30399,plain,
% 136.49/87.13 (v124(constB89, bitIndex1)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30398, 1380, 823, 16894, 30392])).
% 136.49/87.13 tff(30400,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB89)) | (~v124(constB89, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB89)) | (~v124(constB89, bitIndex1)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30401,plain,
% 136.49/87.13 (((~v113(constB89)) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB89)) | (~v124(constB89, bitIndex1)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30402,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB89)) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB89)) | (~v124(constB89, bitIndex1))))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30401])).
% 136.49/87.13 tff(30403,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB89)) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB89)) | (~v124(constB89, bitIndex1)))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30402, 30400])).
% 136.49/87.13 tff(30404,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB89)) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b100(bitIndex1))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30405,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB89)) | (~v124(constB89, bitIndex1))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30404, 30403])).
% 136.49/87.13 tff(30406,plain,
% 136.49/87.13 (~v113(constB89)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30405, 2167, 2186, 823, 30399])).
% 136.49/87.13 tff(30407,plain,
% 136.49/87.13 ((~v94(constB90)) | v123(constB90, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[17018, 1344, 795, 17015])).
% 136.49/87.13 tff(30408,plain,
% 136.49/87.13 (v123(constB90, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30407, 30361])).
% 136.49/87.13 tff(30409,plain,
% 136.49/87.13 (v121(constB89, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[17026, 1362, 795, 16855, 30408])).
% 136.49/87.13 tff(30410,plain,
% 136.49/87.13 (v124(constB89, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[17037, 1380, 795, 16894, 30409])).
% 136.49/87.13 tff(30411,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB89)) | (~v124(constB89, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB89)) | (~v124(constB89, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30412,plain,
% 136.49/87.13 (((~v145(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB89)) | (~v124(constB89, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30413,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB89)) | (~v124(constB89, bitIndex0))))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30412])).
% 136.49/87.13 tff(30414,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB89)) | (~v124(constB89, bitIndex0)))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30413, 30411])).
% 136.49/87.13 tff(30415,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b010(bitIndex0))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30416,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB89)) | (~v124(constB89, bitIndex0))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30415, 30414])).
% 136.49/87.13 tff(30417,plain,
% 136.49/87.13 (~v145(constB89)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30416, 2299, 1416, 795, 30410])).
% 136.49/87.13 tff(30418,plain,
% 136.49/87.13 ($false),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29268, 2894, 30417, 30406, 30380])).
% 136.49/87.13 tff(30419,plain,(v84(constB89, bitIndex1) | v172(constB89) | v118(constB89) | v119(constB89) | (~v84(constB90, bitIndex0)) | (~v84(constB90, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.13 tff(30420,plain,
% 136.49/87.13 (v84(constB89, bitIndex1)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30419, 16938, 29627, 30360, 16934, 29561])).
% 136.49/87.13 tff(30421,plain,
% 136.49/87.13 (~v145(constB89)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[28961, 816, 30420])).
% 136.49/87.13 tff(30422,plain,
% 136.49/87.13 (v84(constB89, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[16967, 1047, 29662, 16939, 16964])).
% 136.49/87.13 tff(30423,plain,
% 136.49/87.13 (v84(constB88, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[28997, 805, 795, 28965, 28977, 30422])).
% 136.49/87.13 tff(30424,plain,
% 136.49/87.13 (v94(constB88)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29196, 16939])).
% 136.49/87.13 tff(30425,plain,
% 136.49/87.13 (v123(constB88, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29384, 1344, 795, 30424, 30423])).
% 136.49/87.13 tff(30426,plain,
% 136.49/87.13 (v121(constB87, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29389, 1362, 795, 29016, 30425])).
% 136.49/87.13 tff(30427,plain,
% 136.49/87.13 (v84(constB88, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29166, 805, 767, 28965, 28977, 29662])).
% 136.49/87.13 tff(30428,plain,
% 136.49/87.13 (v123(constB88, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29337, 1344, 767, 30424, 30427])).
% 136.49/87.13 tff(30429,plain,
% 136.49/87.13 (v121(constB87, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29342, 1362, 767, 29016, 30428])).
% 136.49/87.13 tff(30430,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB87)) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB87)) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30431,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB87)) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30432,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB87)) | (~less_3(bitIndex2)) | (~v121(constB87, bitIndex2))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30431, 30430])).
% 136.49/87.13 tff(30433,plain,
% 136.49/87.13 (~v26(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30432, 1398, 767, 30429])).
% 136.49/87.13 tff(30434,plain,
% 136.49/87.13 (v124(constB87, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29396, 1380, 795, 30433, 30426])).
% 136.49/87.13 tff(30435,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB87)) | (~v124(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30436,plain,
% 136.49/87.13 (((~v113(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30437,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB87)) | (~v124(constB87, bitIndex0))))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30436])).
% 136.49/87.13 tff(30438,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30437, 30435])).
% 136.49/87.13 tff(30439,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b100(bitIndex0))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30440,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB87)) | (~v124(constB87, bitIndex0))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30439, 30438])).
% 136.49/87.13 tff(30441,plain,
% 136.49/87.13 (~v113(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30440, 2386, 2186, 795, 30434])).
% 136.49/87.13 tff(30442,plain,
% 136.49/87.13 (v124(constB87, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29353, 1380, 767, 30433, 30429])).
% 136.49/87.13 tff(30443,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB87)) | (~v124(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30444,plain,
% 136.49/87.13 (((~v145(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30445,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB87)) | (~v124(constB87, bitIndex2))))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30444])).
% 136.49/87.13 tff(30446,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB87)) | (~v124(constB87, bitIndex2)))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30445, 30443])).
% 136.49/87.13 tff(30447,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB87)) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | b010(bitIndex2))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30448,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB87)) | (~v124(constB87, bitIndex2))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30447, 30446])).
% 136.49/87.13 tff(30449,plain,
% 136.49/87.13 (~v145(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30448, 1419, 1416, 767, 30442])).
% 136.49/87.13 tff(30450,plain,
% 136.49/87.13 (~v118(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29432, 2030, 2027, 767, 30442])).
% 136.49/87.13 tff(30451,plain,
% 136.49/87.13 (~v115(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29708, 2030, 2257, 767, 30442])).
% 136.49/87.13 tff(30452,plain,
% 136.49/87.13 (~v172(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29403, 1997, 1994, 795, 30434])).
% 136.49/87.13 tff(30453,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB87)) | (~v124(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30454,plain,
% 136.49/87.13 (((~v116(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30455,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB87)) | (~v124(constB87, bitIndex0))))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30454])).
% 136.49/87.13 tff(30456,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB87)) | (~v124(constB87, bitIndex0)))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30455, 30453])).
% 136.49/87.13 tff(30457,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB87)) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)) | b100(bitIndex0))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30458,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB87)) | (~v124(constB87, bitIndex0))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30457, 30456])).
% 136.49/87.13 tff(30459,plain,
% 136.49/87.13 (~v116(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30458, 2386, 2164, 795, 30434])).
% 136.49/87.13 tff(30460,plain,
% 136.49/87.13 (v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29425, 2427, 2424, 767, 30442])).
% 136.49/87.13 tff(30461,plain,
% 136.49/87.13 ($false),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30460, 30459, 30452, 30451, 30450, 30449, 30441])).
% 136.49/87.13 tff(30462,plain,((~v84(constB89, bitIndex2)) | v84(constB89, bitIndex1) | v172(constB89)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.13 tff(30463,plain,
% 136.49/87.13 (~v84(constB89, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30462, 16939, 16964])).
% 136.49/87.13 tff(30464,plain,
% 136.49/87.13 (~v84(constB89, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[16949, 30463, 16939])).
% 136.49/87.13 tff(30465,plain,
% 136.49/87.13 (v113(constB89)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[16970, 16939, 16964, 16958, 16940])).
% 136.49/87.13 tff(30466,plain,
% 136.49/87.13 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB89)) | (~v84(constB89, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB89)) | (~v84(constB89, bitIndex2)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30467,plain,
% 136.49/87.13 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB89)) | (~v84(constB89, bitIndex2)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30468,plain,
% 136.49/87.13 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB89)) | (~v84(constB89, bitIndex2))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30467, 30466])).
% 136.49/87.13 tff(30469,plain,
% 136.49/87.13 (~v84(constB89, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30468, 1119, 17121])).
% 136.49/87.13 tff(30470,plain,
% 136.49/87.13 (~v84(constB88, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29285, 30469])).
% 136.49/87.13 tff(30471,plain,
% 136.49/87.13 (~v84(constB89, bitIndex1)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29261, 1465, 17121])).
% 136.49/87.13 tff(30472,plain,
% 136.49/87.13 (v94(constB88)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29196, 30471])).
% 136.49/87.13 tff(30473,plain,
% 136.49/87.13 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB88)) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30474,plain,
% 136.49/87.13 (((~less_3(bitIndex2)) | (~v94(constB88)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2))) <=> ((~v94(constB88)) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30475,plain,
% 136.49/87.13 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB88)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB88)) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2))))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30474])).
% 136.49/87.13 tff(30476,plain,
% 136.49/87.13 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB88)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30475, 30473])).
% 136.49/87.13 tff(30477,plain,
% 136.49/87.13 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB88)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30478,plain,
% 136.49/87.13 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex2)) | v84(constB88, bitIndex2) | (~v123(constB88, bitIndex2))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30477, 30476])).
% 136.49/87.13 tff(30479,plain,
% 136.49/87.13 (~v123(constB88, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30478, 1674, 767, 30472, 30470])).
% 136.49/87.13 tff(30480,plain,
% 136.49/87.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex2)) | v123(constB88, bitIndex2) | (~v121(constB87, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex2)) | v123(constB88, bitIndex2) | (~v121(constB87, bitIndex2)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30481,plain,
% 136.49/87.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex2)) | v123(constB88, bitIndex2) | (~v121(constB87, bitIndex2)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30482,plain,
% 136.49/87.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex2)) | v123(constB88, bitIndex2) | (~v121(constB87, bitIndex2))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30481, 30480])).
% 136.49/87.13 tff(30483,plain,
% 136.49/87.13 (~v121(constB87, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30482, 1708, 767, 29016, 30479])).
% 136.49/87.13 tff(30484,plain,
% 136.49/87.13 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB89, bitIndex0)) | (~v113(constB89)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB89, bitIndex0)) | (~v113(constB89)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30485,plain,
% 136.49/87.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB89, bitIndex0)) | (~v113(constB89)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30486,plain,
% 136.49/87.13 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB89, bitIndex0)) | (~v113(constB89))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30485, 30484])).
% 136.49/87.13 tff(30487,plain,
% 136.49/87.13 (~v84(constB89, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30486, 2764, 17121])).
% 136.49/87.13 tff(30488,plain,
% 136.49/87.13 (~v84(constB88, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[29257, 30487])).
% 136.49/87.13 tff(30489,plain,
% 136.49/87.13 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB88)) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30490,plain,
% 136.49/87.13 (((~less_3(bitIndex0)) | (~v94(constB88)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0))) <=> ((~v94(constB88)) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30491,plain,
% 136.49/87.13 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB88)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB88)) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0))))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30490])).
% 136.49/87.13 tff(30492,plain,
% 136.49/87.13 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB88)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30491, 30489])).
% 136.49/87.13 tff(30493,plain,
% 136.49/87.13 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB88)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30494,plain,
% 136.49/87.13 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex0)) | v84(constB88, bitIndex0) | (~v123(constB88, bitIndex0))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30493, 30492])).
% 136.49/87.13 tff(30495,plain,
% 136.49/87.13 (~v123(constB88, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30494, 1674, 795, 30472, 30488])).
% 136.49/87.13 tff(30496,plain,
% 136.49/87.13 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex0)) | v123(constB88, bitIndex0) | (~v121(constB87, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex0)) | v123(constB88, bitIndex0) | (~v121(constB87, bitIndex0)))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30497,plain,
% 136.49/87.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex0)) | v123(constB88, bitIndex0) | (~v121(constB87, bitIndex0)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30498,plain,
% 136.49/87.13 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex0)) | v123(constB88, bitIndex0) | (~v121(constB87, bitIndex0))),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30497, 30496])).
% 136.49/87.13 tff(30499,plain,
% 136.49/87.13 (~v121(constB87, bitIndex0)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30498, 1708, 795, 29016, 30495])).
% 136.49/87.13 tff(30500,assumption,(~v26(constB87)), introduced(assumption)).
% 136.49/87.13 tff(30501,assumption,(~v121(constB87, bitIndex2)), introduced(assumption)).
% 136.49/87.13 tff(30502,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30503,plain,
% 136.49/87.13 ((v26(constB87) | v121(constB87, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2))) <=> (v26(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30504,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2)))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30503])).
% 136.49/87.13 tff(30505,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30504, 30502])).
% 136.49/87.13 tff(30506,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30507,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex2)) | (~v124(constB87, bitIndex2)) | v121(constB87, bitIndex2)),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30506, 30505])).
% 136.49/87.13 tff(30508,plain,
% 136.49/87.13 (v26(constB87) | (~v124(constB87, bitIndex2))),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30507, 1728, 767, 30501])).
% 136.49/87.13 tff(30509,plain,
% 136.49/87.13 (~v124(constB87, bitIndex2)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30508, 30500])).
% 136.49/87.13 tff(30510,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30511,plain,
% 136.49/87.13 (((~v113(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v113(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30512,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2)))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30511])).
% 136.49/87.13 tff(30513,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2))),
% 136.49/87.13 inference(transitivity,[status(thm)],[30512, 30510])).
% 136.49/87.13 tff(30514,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b100(bitIndex2)))),
% 136.49/87.13 inference(quant_inst,[status(thm)],[])).
% 136.49/87.13 tff(30515,plain,
% 136.49/87.13 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2)),
% 136.49/87.13 inference(modus_ponens,[status(thm)],[30514, 30513])).
% 136.49/87.13 tff(30516,plain,
% 136.49/87.13 (~v113(constB87)),
% 136.49/87.13 inference(unit_resolution,[status(thm)],[30515, 1772, 1838, 767, 30509])).
% 136.49/87.13 tff(30517,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB87)) | v124(constB87, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB87)) | v124(constB87, bitIndex2))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30518,plain,
% 136.49/87.13 (((~v172(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB87)) | v124(constB87, bitIndex2))),
% 136.49/87.13 inference(rewrite,[status(thm)],[])).
% 136.49/87.13 tff(30519,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB87)) | v124(constB87, bitIndex2)))),
% 136.49/87.13 inference(monotonicity,[status(thm)],[30518])).
% 136.49/87.13 tff(30520,plain,
% 136.49/87.13 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB87)) | v124(constB87, bitIndex2))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30519, 30517])).
% 136.49/87.14 tff(30521,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b110(bitIndex2)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30522,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB87)) | v124(constB87, bitIndex2)),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30521, 30520])).
% 136.49/87.14 tff(30523,plain,
% 136.49/87.14 (~v172(constB87)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30522, 2066, 1798, 767, 30509])).
% 136.49/87.14 tff(30524,assumption,(~v121(constB87, bitIndex0)), introduced(assumption)).
% 136.49/87.14 tff(30525,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex0)) | v121(constB87, bitIndex0) | (~v124(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex0)) | v121(constB87, bitIndex0) | (~v124(constB87, bitIndex0)))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30526,plain,
% 136.49/87.14 ((v26(constB87) | v121(constB87, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0))) <=> (v26(constB87) | (~less_3(bitIndex0)) | v121(constB87, bitIndex0) | (~v124(constB87, bitIndex0)))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30527,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex0)) | v121(constB87, bitIndex0) | (~v124(constB87, bitIndex0))))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30526])).
% 136.49/87.14 tff(30528,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex0)) | v121(constB87, bitIndex0) | (~v124(constB87, bitIndex0)))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30527, 30525])).
% 136.49/87.14 tff(30529,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB87, bitIndex0)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30530,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex0)) | v121(constB87, bitIndex0) | (~v124(constB87, bitIndex0))),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30529, 30528])).
% 136.49/87.14 tff(30531,plain,
% 136.49/87.14 (v26(constB87) | (~v124(constB87, bitIndex0))),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30530, 1728, 795, 30524])).
% 136.49/87.14 tff(30532,plain,
% 136.49/87.14 (~v124(constB87, bitIndex0)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30531, 30500])).
% 136.49/87.14 tff(30533,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30534,plain,
% 136.49/87.14 (((~v118(constB87)) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30535,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB87)) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0)))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30534])).
% 136.49/87.14 tff(30536,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB87)) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30535, 30533])).
% 136.49/87.14 tff(30537,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB87)) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b011(bitIndex0)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30538,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0)),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30537, 30536])).
% 136.49/87.14 tff(30539,plain,
% 136.49/87.14 (~v118(constB87)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30538, 1148, 1145, 795, 30532])).
% 136.49/87.14 tff(30540,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30541,plain,
% 136.49/87.14 (((~v115(constB87)) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30542,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB87)) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0)))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30541])).
% 136.49/87.14 tff(30543,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB87)) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30542, 30540])).
% 136.49/87.14 tff(30544,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB87)) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b011(bitIndex0)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30545,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB87)) | (~b011(bitIndex0)) | v124(constB87, bitIndex0)),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30544, 30543])).
% 136.49/87.14 tff(30546,plain,
% 136.49/87.14 (~v115(constB87)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30545, 1148, 1193, 795, 30532])).
% 136.49/87.14 tff(30547,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30548,plain,
% 136.49/87.14 (((~v116(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v116(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30549,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2)))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30548])).
% 136.49/87.14 tff(30550,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30549, 30547])).
% 136.49/87.14 tff(30551,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB87)) | (~less_3(bitIndex2)) | v124(constB87, bitIndex2) | (~b100(bitIndex2)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30552,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB87)) | (~b100(bitIndex2)) | v124(constB87, bitIndex2)),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30551, 30550])).
% 136.49/87.14 tff(30553,plain,
% 136.49/87.14 (~v116(constB87)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30552, 1772, 1769, 767, 30509])).
% 136.49/87.14 tff(30554,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30555,plain,
% 136.49/87.14 ((v26(constB87) | v121(constB87, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1))) <=> (v26(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30556,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30555])).
% 136.49/87.14 tff(30557,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30556, 30554])).
% 136.49/87.14 tff(30558,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB87) | v121(constB87, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30559,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | v121(constB87, bitIndex1)),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30558, 30557])).
% 136.49/87.14 tff(30560,plain,
% 136.49/87.14 (v26(constB87) | (~v124(constB87, bitIndex1))),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30559, 1728, 823, 29361])).
% 136.49/87.14 tff(30561,plain,
% 136.49/87.14 (~v124(constB87, bitIndex1)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30560, 30500])).
% 136.49/87.14 tff(30562,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB87)) | (~b010(bitIndex1)) | v124(constB87, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB87)) | (~b010(bitIndex1)) | v124(constB87, bitIndex1))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30563,plain,
% 136.49/87.14 (((~v145(constB87)) | (~less_3(bitIndex1)) | v124(constB87, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB87)) | (~b010(bitIndex1)) | v124(constB87, bitIndex1))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30564,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB87)) | (~less_3(bitIndex1)) | v124(constB87, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB87)) | (~b010(bitIndex1)) | v124(constB87, bitIndex1)))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30563])).
% 136.49/87.14 tff(30565,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB87)) | (~less_3(bitIndex1)) | v124(constB87, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB87)) | (~b010(bitIndex1)) | v124(constB87, bitIndex1))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30564, 30562])).
% 136.49/87.14 tff(30566,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB87)) | (~less_3(bitIndex1)) | v124(constB87, bitIndex1) | (~b010(bitIndex1)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30567,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB87)) | (~b010(bitIndex1)) | v124(constB87, bitIndex1)),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30566, 30565])).
% 136.49/87.14 tff(30568,plain,
% 136.49/87.14 (~v145(constB87)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30567, 1821, 1818, 823, 30561])).
% 136.49/87.14 tff(30569,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~b001(bitIndex0)) | v124(constB87, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~b001(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30570,plain,
% 136.49/87.14 ((v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~b001(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30571,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~b001(bitIndex0)) | v124(constB87, bitIndex0)))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30570])).
% 136.49/87.14 tff(30572,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~b001(bitIndex0)) | v124(constB87, bitIndex0))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30571, 30569])).
% 136.49/87.14 tff(30573,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex0)) | v124(constB87, bitIndex0) | (~b001(bitIndex0)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30574,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~b001(bitIndex0)) | v124(constB87, bitIndex0)),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30573, 30572])).
% 136.49/87.14 tff(30575,plain,
% 136.49/87.14 (v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30574, 1213, 1210, 795, 30532])).
% 136.49/87.14 tff(30576,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30575, 30568, 30553, 30546, 30539, 30523, 30516])).
% 136.49/87.14 tff(30577,plain,(v26(constB87) | v121(constB87, bitIndex1) | v121(constB87, bitIndex2) | v121(constB87, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30578,plain,
% 136.49/87.14 (v121(constB87, bitIndex1) | v121(constB87, bitIndex2) | v121(constB87, bitIndex0)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30577, 29347])).
% 136.49/87.14 tff(30579,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30578, 30499, 30483, 29361])).
% 136.49/87.14 tff(30580,plain,((~v113(constB89)) | v121(constB87, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30581,plain,
% 136.49/87.14 (v121(constB87, bitIndex1)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30580, 30465])).
% 136.49/87.14 tff(30582,assumption,(~v123(constB88, bitIndex1)), introduced(assumption)).
% 136.49/87.14 tff(30583,assumption,(v121(constB87, bitIndex1)), introduced(assumption)).
% 136.49/87.14 tff(30584,plain,
% 136.49/87.14 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex1)) | v123(constB88, bitIndex1) | (~v121(constB87, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex1)) | v123(constB88, bitIndex1) | (~v121(constB87, bitIndex1)))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30585,plain,
% 136.49/87.14 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB87, constB88)) | (~less_3(bitIndex1)) | v123(constB88, bitIndex1) | (~v121(constB87, bitIndex1)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30586,plain,
% 136.49/87.14 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB87, constB88)) | (~less_3(bitIndex1)) | v123(constB88, bitIndex1) | (~v121(constB87, bitIndex1))),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30585, 30584])).
% 136.49/87.14 tff(30587,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30586, 1708, 823, 29016, 30583, 30582])).
% 136.49/87.14 tff(30588,plain,(v123(constB88, bitIndex1) | (~v121(constB87, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30589,plain,
% 136.49/87.14 (v123(constB88, bitIndex1)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30588, 30581])).
% 136.49/87.14 tff(30590,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[28983, 777, 823, 28965, 28977, 16939, 29332])).
% 136.49/87.14 tff(30591,plain,(v84(constB89, bitIndex1) | (~v84(constB88, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30592,plain,
% 136.49/87.14 (~v84(constB88, bitIndex1)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30591, 16939])).
% 136.49/87.14 tff(30593,plain,
% 136.49/87.14 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB88)) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30594,plain,
% 136.49/87.14 (((~less_3(bitIndex1)) | (~v94(constB88)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1))) <=> ((~v94(constB88)) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30595,plain,
% 136.49/87.14 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB88)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB88)) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1))))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30594])).
% 136.49/87.14 tff(30596,plain,
% 136.49/87.14 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB88)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30595, 30593])).
% 136.49/87.14 tff(30597,plain,
% 136.49/87.14 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB88)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30598,plain,
% 136.49/87.14 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB88)) | (~less_3(bitIndex1)) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1))),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30597, 30596])).
% 136.49/87.14 tff(30599,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30598, 1674, 823, 29684, 30592, 30589])).
% 136.49/87.14 tff(30600,plain,(v84(constB89, bitIndex1) | (~v94(constB88)) | v172(constB89) | v118(constB89) | v145(constB89)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30601,plain,
% 136.49/87.14 (v118(constB89)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30600, 30424, 16964, 16939, 16940])).
% 136.49/87.14 tff(30602,plain,
% 136.49/87.14 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB89, bitIndex0) | (~v118(constB89)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB89, bitIndex0) | (~v118(constB89)))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30603,plain,
% 136.49/87.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB89, bitIndex0) | (~v118(constB89)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30604,plain,
% 136.49/87.14 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB89, bitIndex0) | (~v118(constB89))),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30603, 30602])).
% 136.49/87.14 tff(30605,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30604, 2642, 30601, 30464])).
% 136.49/87.14 tff(30606,plain,(v84(constB89, bitIndex1) | v145(constB89) | v172(constB89)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30607,plain,
% 136.49/87.14 (v84(constB89, bitIndex1)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30606, 16940, 16964])).
% 136.49/87.14 tff(30608,plain,
% 136.49/87.14 (~v118(constB89)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[29278, 2842, 30607])).
% 136.49/87.14 tff(30609,plain,
% 136.49/87.14 (~v113(constB89)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[29261, 1465, 30607])).
% 136.49/87.14 tff(30610,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB89) | (~b001(bitIndex0)) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | v124(constB89, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB89) | (~b001(bitIndex0)) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | v124(constB89, bitIndex0))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30611,plain,
% 136.49/87.14 ((v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB89) | (~b001(bitIndex0)) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | v124(constB89, bitIndex0))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30612,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB89) | (~b001(bitIndex0)) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | v124(constB89, bitIndex0)))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30611])).
% 136.49/87.14 tff(30613,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB89) | (~b001(bitIndex0)) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | v124(constB89, bitIndex0))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30612, 30610])).
% 136.49/87.14 tff(30614,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b001(bitIndex0)))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30615,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB89) | (~b001(bitIndex0)) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | v124(constB89, bitIndex0)),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30614, 30613])).
% 136.49/87.14 tff(30616,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30615, 1213, 1210, 795, 16940, 30609, 16964, 30608, 29654, 29645, 17031])).
% 136.49/87.14 tff(30617,plain,(v124(constB89, bitIndex0) | v145(constB89) | v172(constB89) | v115(constB89) | v116(constB89)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30618,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30617, 30421, 30359, 17031, 30358, 16938])).
% 136.49/87.14 tff(30619,plain,(v94(constB90) | v124(constB89, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30620,plain,
% 136.49/87.14 (v94(constB90)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30619, 17031])).
% 136.49/87.14 tff(30621,plain,
% 136.49/87.14 (~v121(constB89, bitIndex0)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[17039, 17031])).
% 136.49/87.14 tff(30622,plain,
% 136.49/87.14 (~v123(constB90, bitIndex0)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[17028, 30621])).
% 136.49/87.14 tff(30623,plain,
% 136.49/87.14 ($false),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[17020, 30622, 30620, 17015])).
% 136.49/87.14 tff(30624,plain,(v124(constB89, bitIndex0) | (~v84(constB90, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.14 tff(30625,plain,
% 136.49/87.14 (v124(constB89, bitIndex0)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30624, 17015])).
% 136.49/87.14 tff(30626,plain,
% 136.49/87.14 (~v116(constB89)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[17143, 2386, 2164, 795, 30625])).
% 136.49/87.14 tff(30627,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB89)) | (~v124(constB89, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB89)) | (~v124(constB89, bitIndex0)))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30628,plain,
% 136.49/87.14 (((~v172(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB89)) | (~v124(constB89, bitIndex0)))),
% 136.49/87.14 inference(rewrite,[status(thm)],[])).
% 136.49/87.14 tff(30629,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB89)) | (~v124(constB89, bitIndex0))))),
% 136.49/87.14 inference(monotonicity,[status(thm)],[30628])).
% 136.49/87.14 tff(30630,plain,
% 136.49/87.14 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB89)) | (~v124(constB89, bitIndex0)))),
% 136.49/87.14 inference(transitivity,[status(thm)],[30629, 30627])).
% 136.49/87.14 tff(30631,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB89)) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | b110(bitIndex0))),
% 136.49/87.14 inference(quant_inst,[status(thm)],[])).
% 136.49/87.14 tff(30632,plain,
% 136.49/87.14 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB89)) | (~v124(constB89, bitIndex0))),
% 136.49/87.14 inference(modus_ponens,[status(thm)],[30631, 30630])).
% 136.49/87.14 tff(30633,plain,
% 136.49/87.14 (~v172(constB89)),
% 136.49/87.14 inference(unit_resolution,[status(thm)],[30632, 1997, 1994, 795, 30625])).
% 136.49/87.15 tff(30634,plain,
% 136.49/87.15 (~v145(constB89)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30416, 2299, 1416, 795, 30625])).
% 136.49/87.15 tff(30635,plain,
% 136.49/87.15 (v84(constB89, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30606, 30634, 30633])).
% 136.49/87.15 tff(30636,plain,
% 136.49/87.15 ((~v84(constB89, bitIndex0)) | v84(constB89, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29651, 1076, 30635, 30626])).
% 136.49/87.15 tff(30637,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30636, 29590, 30349])).
% 136.49/87.15 tff(30638,plain,(v94(constB90) | v84(constB90, bitIndex2) | (~v84(constB90, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30639,plain,
% 136.49/87.15 (v84(constB90, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30638, 16849, 29627])).
% 136.49/87.15 tff(30640,assumption,(~v84(constB91, bitIndex2)), introduced(assumption)).
% 136.49/87.15 tff(30641,assumption,(v84(constB90, bitIndex2)), introduced(assumption)).
% 136.49/87.15 tff(30642,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB90, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB90, bitIndex2)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30643,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB90, bitIndex2)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30644,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex2)) | v84(constB91, bitIndex2) | (~v84(constB90, bitIndex2))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30643, 30642])).
% 136.49/87.15 tff(30645,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30644, 777, 767, 16830, 16842, 30641, 30640])).
% 136.49/87.15 tff(30646,plain,(v84(constB91, bitIndex2) | (~v84(constB90, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30647,plain,
% 136.49/87.15 (v84(constB91, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30646, 30639])).
% 136.49/87.15 tff(30648,plain,
% 136.49/87.15 (~v113(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[16791, 1119, 30647])).
% 136.49/87.15 tff(30649,plain,
% 136.49/87.15 (~v116(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17299, 1130, 30647])).
% 136.49/87.15 tff(30650,plain,
% 136.49/87.15 (~v115(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17307, 2665, 30647])).
% 136.49/87.15 tff(30651,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB90, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB90, bitIndex0)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30652,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB90, bitIndex0)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30653,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex0)) | v84(constB91, bitIndex0) | (~v84(constB90, bitIndex0))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30652, 30651])).
% 136.49/87.15 tff(30654,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30653, 777, 795, 16830, 16842, 16294, 17015])).
% 136.49/87.15 tff(30655,plain,(v84(constB91, bitIndex0) | (~v84(constB90, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30656,plain,
% 136.49/87.15 (v84(constB91, bitIndex0)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30655, 29627])).
% 136.49/87.15 tff(30657,plain,
% 136.49/87.15 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB91, bitIndex0)) | (~v172(constB91)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB91, bitIndex0)) | (~v172(constB91)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30658,plain,
% 136.49/87.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB91, bitIndex0)) | (~v172(constB91)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30659,plain,
% 136.49/87.15 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB91, bitIndex0)) | (~v172(constB91))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30658, 30657])).
% 136.49/87.15 tff(30660,plain,
% 136.49/87.15 (~v172(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30659, 7708, 30656])).
% 136.49/87.15 tff(30661,plain,
% 136.49/87.15 (~v124(constB91, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17353, 30660, 16994, 30650, 30649, 30648, 30347])).
% 136.49/87.15 tff(30662,plain,
% 136.49/87.15 (~v121(constB91, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17362, 30661])).
% 136.49/87.15 tff(30663,plain,
% 136.49/87.15 (~v123(constB92, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17370, 30662])).
% 136.49/87.15 tff(30664,plain,
% 136.49/87.15 (~v113(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17438, 2167, 2186, 823, 16469])).
% 136.49/87.15 tff(30665,plain,
% 136.49/87.15 (~v116(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17420, 2167, 2164, 823, 16469])).
% 136.49/87.15 tff(30666,plain,
% 136.49/87.15 ((~v84(constB91, bitIndex0)) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1))),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[16319, 1076, 30665])).
% 136.49/87.15 tff(30667,plain,
% 136.49/87.15 (v84(constB91, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30666, 30656, 30343])).
% 136.49/87.15 tff(30668,plain,
% 136.49/87.15 (~v115(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17307, 2665, 30667])).
% 136.49/87.15 tff(30669,plain,
% 136.49/87.15 (v118(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17319, 30668, 16469, 30665, 30664, 17310, 16994])).
% 136.49/87.15 tff(30670,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30346, 2842, 30343, 30669])).
% 136.49/87.15 tff(30671,plain,(v94(constB90) | (~v124(constB91, bitIndex1)) | v172(constB91) | v145(constB91)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30672,plain,
% 136.49/87.15 (~v124(constB91, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30671, 30660, 16994, 16849])).
% 136.49/87.15 tff(30673,plain,
% 136.49/87.15 (~v121(constB91, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17328, 30672])).
% 136.49/87.15 tff(30674,plain,
% 136.49/87.15 (~v123(constB92, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17337, 30673])).
% 136.49/87.15 tff(30675,plain,
% 136.49/87.15 (v94(constB92)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[16801, 16291])).
% 136.49/87.15 tff(30676,plain,
% 136.49/87.15 (v84(constB92, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[16684, 16291, 15717, 16678, 16672])).
% 136.49/87.15 tff(30677,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17343, 30676, 30675, 16460])).
% 136.49/87.15 tff(30678,plain,(v84(constB92, bitIndex2) | v123(constB92, bitIndex1) | v119(constB91) | v115(constB91) | v116(constB91)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30679,plain,
% 136.49/87.15 (v84(constB92, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30678, 30674, 15717, 30649, 30650])).
% 136.49/87.15 tff(30680,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17384, 30679, 30663, 30342])).
% 136.49/87.15 tff(30681,plain,(v145(constB91) | v119(constB91) | v94(constB90) | (~v107(constB93))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30682,plain,
% 136.49/87.15 (v145(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30681, 16849, 17212, 15717])).
% 136.49/87.15 tff(30683,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30638, 29627, 16849, 17044])).
% 136.49/87.15 tff(30684,plain,(v94(constB90) | v84(constB90, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30685,plain,
% 136.49/87.15 (v84(constB90, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30684, 16849])).
% 136.49/87.15 tff(30686,plain,
% 136.49/87.15 (v84(constB91, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30646, 30685])).
% 136.49/87.15 tff(30687,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[16825, 725, 17279, 17043])).
% 136.49/87.15 tff(30688,plain,((~v145(constB91)) | (~v84(constB91, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30689,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30688, 30686, 30682])).
% 136.49/87.15 tff(30690,plain,(v94(constB90) | (~v107(constB93)) | v119(constB91)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30691,plain,
% 136.49/87.15 (v119(constB91)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30690, 16849, 17212])).
% 136.49/87.15 tff(30692,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17277, 3173, 30656, 30691])).
% 136.49/87.15 tff(30693,plain,(v94(constB90) | (~v107(constB93))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30694,plain,
% 136.49/87.15 (v94(constB90)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30693, 30327])).
% 136.49/87.15 tff(30695,plain,
% 136.49/87.15 (v104(constB90)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29717, 30694])).
% 136.49/87.15 tff(30696,plain,
% 136.49/87.15 (v102(constB89)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29725, 30695])).
% 136.49/87.15 tff(30697,plain,
% 136.49/87.15 (v106(constB89)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29733, 30696])).
% 136.49/87.15 tff(30698,plain,
% 136.49/87.15 (v107(constB89)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29737, 3161, 30697])).
% 136.49/87.15 tff(30699,plain,
% 136.49/87.15 (v94(constB88)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29329, 30698])).
% 136.49/87.15 tff(30700,plain,
% 136.49/87.15 (v104(constB88)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29744, 30699])).
% 136.49/87.15 tff(30701,plain,
% 136.49/87.15 (v102(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29752, 30700])).
% 136.49/87.15 tff(30702,plain,
% 136.49/87.15 (v106(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29760, 30701])).
% 136.49/87.15 tff(30703,plain,
% 136.49/87.15 (v107(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29764, 3161, 30702])).
% 136.49/87.15 tff(30704,plain,
% 136.49/87.15 (v108(constB87) | v119(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30001, 3195, 30703])).
% 136.49/87.15 tff(30705,plain,
% 136.49/87.15 (v119(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30704, 30322])).
% 136.49/87.15 tff(30706,plain,
% 136.49/87.15 (~v84(constB87, bitIndex0)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29996, 30705])).
% 136.49/87.15 tff(30707,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB87)) | v84(constB87, bitIndex1))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB87)) | v84(constB87, bitIndex1))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30708,plain,
% 136.49/87.15 ((v84(constB87, bitIndex1) | (~v119(constB87))) <=> ((~v119(constB87)) | v84(constB87, bitIndex1))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30709,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB87, bitIndex1) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB87)) | v84(constB87, bitIndex1)))),
% 136.49/87.15 inference(monotonicity,[status(thm)],[30708])).
% 136.49/87.15 tff(30710,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB87, bitIndex1) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB87)) | v84(constB87, bitIndex1))),
% 136.49/87.15 inference(transitivity,[status(thm)],[30709, 30707])).
% 136.49/87.15 tff(30711,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB87, bitIndex1) | (~v119(constB87)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30712,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB87)) | v84(constB87, bitIndex1)),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30711, 30710])).
% 136.49/87.15 tff(30713,plain,
% 136.49/87.15 (v84(constB87, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30712, 9858, 30705])).
% 136.49/87.15 tff(30714,plain,
% 136.49/87.15 (~v172(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29677, 2289, 30713])).
% 136.49/87.15 tff(30715,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB87, bitIndex0) | (~v118(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB87, bitIndex0) | (~v118(constB87)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30716,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB87, bitIndex0) | (~v118(constB87)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30717,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB87, bitIndex0) | (~v118(constB87))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30716, 30715])).
% 136.49/87.15 tff(30718,plain,
% 136.49/87.15 (~v118(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30717, 2642, 29908])).
% 136.49/87.15 tff(30719,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB87, bitIndex0) | (~v116(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB87, bitIndex0) | (~v116(constB87)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30720,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB87, bitIndex0) | (~v116(constB87)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30721,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB87, bitIndex0) | (~v116(constB87))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30720, 30719])).
% 136.49/87.15 tff(30722,plain,
% 136.49/87.15 (~v116(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30721, 10948, 29908])).
% 136.49/87.15 tff(30723,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB87, bitIndex0) | (~v145(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB87, bitIndex0) | (~v145(constB87)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30724,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB87, bitIndex0) | (~v145(constB87)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30725,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB87, bitIndex0) | (~v145(constB87))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30724, 30723])).
% 136.49/87.15 tff(30726,plain,
% 136.49/87.15 (~v145(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30725, 788, 29908])).
% 136.49/87.15 tff(30727,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB87)) | v84(constB87, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB87)) | v84(constB87, bitIndex2))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30728,plain,
% 136.49/87.15 ((v84(constB87, bitIndex2) | (~v119(constB87))) <=> ((~v119(constB87)) | v84(constB87, bitIndex2))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30729,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB87, bitIndex2) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB87)) | v84(constB87, bitIndex2)))),
% 136.49/87.15 inference(monotonicity,[status(thm)],[30728])).
% 136.49/87.15 tff(30730,plain,
% 136.49/87.15 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB87, bitIndex2) | (~v119(constB87)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB87)) | v84(constB87, bitIndex2))),
% 136.49/87.15 inference(transitivity,[status(thm)],[30729, 30727])).
% 136.49/87.15 tff(30731,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB87, bitIndex2) | (~v119(constB87)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30732,plain,
% 136.49/87.15 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB87)) | v84(constB87, bitIndex2)),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30731, 30730])).
% 136.49/87.15 tff(30733,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30732, 7833, 29221, 29987])).
% 136.49/87.15 tff(30734,plain,((~v119(constB87)) | v84(constB87, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30735,plain,
% 136.49/87.15 (~v119(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30734, 29221])).
% 136.49/87.15 tff(30736,plain,
% 136.49/87.15 (v119(constB87) | (~v107(constB87))),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30001, 3195, 30322])).
% 136.49/87.15 tff(30737,plain,
% 136.49/87.15 (~v107(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30736, 30735])).
% 136.49/87.15 tff(30738,plain,
% 136.49/87.15 (~v84(constB87, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29237, 29221, 29228, 29222])).
% 136.49/87.15 tff(30739,plain,
% 136.49/87.15 (v94(constB88)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29437, 30738])).
% 136.49/87.15 tff(30740,plain,
% 136.49/87.15 (v104(constB88)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29744, 30739])).
% 136.49/87.15 tff(30741,plain,
% 136.49/87.15 (v102(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29752, 30740])).
% 136.49/87.15 tff(30742,plain,
% 136.49/87.15 (v106(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29760, 30741])).
% 136.49/87.15 tff(30743,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29764, 3161, 30742, 30737])).
% 136.49/87.15 tff(30744,plain,(v84(constB87, bitIndex2) | v108(constB87) | v116(constB87) | v115(constB87)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30745,plain,
% 136.49/87.15 (v84(constB87, bitIndex2)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30744, 30722, 30322, 29222])).
% 136.49/87.15 tff(30746,plain,
% 136.49/87.15 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB87)) | (~v84(constB87, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB87)) | (~v84(constB87, bitIndex2)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30747,plain,
% 136.49/87.15 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB87)) | (~v84(constB87, bitIndex2)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30748,plain,
% 136.49/87.15 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB87)) | (~v84(constB87, bitIndex2))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30747, 30746])).
% 136.49/87.15 tff(30749,plain,
% 136.49/87.15 (~v113(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30748, 1119, 30745])).
% 136.49/87.15 tff(30750,assumption,(v124(constB87, bitIndex1)), introduced(assumption)).
% 136.49/87.15 tff(30751,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex1)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30752,plain,
% 136.49/87.15 ((v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex1)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30753,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex1))))),
% 136.49/87.15 inference(monotonicity,[status(thm)],[30752])).
% 136.49/87.15 tff(30754,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex1)))),
% 136.49/87.15 inference(transitivity,[status(thm)],[30753, 30751])).
% 136.49/87.15 tff(30755,plain,
% 136.49/87.15 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB87) | v145(constB87) | v115(constB87) | v116(constB87) | v172(constB87) | v118(constB87) | (~less_3(bitIndex1)) | (~v124(constB87, bitIndex1)) | b001(bitIndex1))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30756,plain,
% 136.49/87.15 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB87) | v172(constB87) | v116(constB87) | v115(constB87) | v145(constB87) | v113(constB87) | (~v124(constB87, bitIndex1))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30755, 30754])).
% 136.49/87.15 tff(30757,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30756, 2601, 2424, 823, 29701, 29228, 29222, 29690, 29689, 29688, 30750])).
% 136.49/87.15 tff(30758,plain,((~v124(constB87, bitIndex1)) | v145(constB87) | v116(constB87) | v115(constB87) | v172(constB87) | v118(constB87) | v113(constB87)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30759,plain,
% 136.49/87.15 (~v124(constB87, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30758, 30749, 29690, 29222, 30726, 30722, 30718])).
% 136.49/87.15 tff(30760,plain,
% 136.49/87.15 (v84(constB87, bitIndex1) | (~v84(constB87, bitIndex2))),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29193, 1047, 29690, 29908])).
% 136.49/87.15 tff(30761,plain,
% 136.49/87.15 (v84(constB87, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30760, 30745])).
% 136.49/87.15 tff(30762,plain,
% 136.49/87.15 (v119(constB87) | (~v84(constB87, bitIndex1)) | (~v84(constB87, bitIndex2))),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29248, 1910, 29908])).
% 136.49/87.15 tff(30763,plain,
% 136.49/87.15 (v119(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30762, 30761, 30745])).
% 136.49/87.15 tff(30764,plain,
% 136.49/87.15 (v107(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29241, 1927, 30763])).
% 136.49/87.15 tff(30765,plain,
% 136.49/87.15 (v106(constB87) | (~v107(constB87))),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29109, 644, 29347])).
% 136.49/87.15 tff(30766,plain,
% 136.49/87.15 (v106(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30765, 30764])).
% 136.49/87.15 tff(30767,plain,
% 136.49/87.15 (v102(constB87)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29098, 619, 30766])).
% 136.49/87.15 tff(30768,plain,
% 136.49/87.15 (v104(constB88)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29094, 30767])).
% 136.49/87.15 tff(30769,plain,
% 136.49/87.15 (v94(constB88)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29086, 30768])).
% 136.49/87.15 tff(30770,plain,
% 136.49/87.15 (v123(constB88, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29358, 30769])).
% 136.49/87.15 tff(30771,plain,
% 136.49/87.15 (v121(constB87, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29366, 30770])).
% 136.49/87.15 tff(30772,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29373, 1380, 823, 29347, 30771, 30759])).
% 136.49/87.15 tff(30773,plain,((~v84(constB88, bitIndex1)) | v172(constB87) | v115(constB87) | v84(constB87, bitIndex0) | v108(constB87)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30774,plain,
% 136.49/87.15 (~v84(constB88, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30773, 30714, 29222, 30706, 30322])).
% 136.49/87.15 tff(30775,plain,
% 136.49/87.15 (~v84(constB89, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[29571, 30774])).
% 136.49/87.15 tff(30776,plain,
% 136.49/87.15 (v172(constB89)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30606, 16939, 16940])).
% 136.49/87.15 tff(30777,plain,
% 136.49/87.15 ($false),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30632, 1997, 1994, 795, 17110, 17120])).
% 136.49/87.15 tff(30778,plain,((~v172(constB89)) | (~v124(constB89, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.15 tff(30779,plain,
% 136.49/87.15 (~v124(constB89, bitIndex0)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30778, 30776])).
% 136.49/87.15 tff(30780,plain,
% 136.49/87.15 (v94(constB90)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30619, 30779])).
% 136.49/87.15 tff(30781,plain,
% 136.49/87.15 (v172(constB89)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30606, 16940, 16939])).
% 136.49/87.15 tff(30782,plain,
% 136.49/87.15 (~v124(constB89, bitIndex0)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30778, 30781])).
% 136.49/87.15 tff(30783,plain,
% 136.49/87.15 (~v84(constB90, bitIndex0)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30624, 30782])).
% 136.49/87.15 tff(30784,plain,
% 136.49/87.15 (v124(constB89, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17118, 30781])).
% 136.49/87.15 tff(30785,plain,
% 136.49/87.15 (v121(constB89, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17090, 30784])).
% 136.49/87.15 tff(30786,plain,
% 136.49/87.15 (v123(constB90, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[17079, 30785])).
% 136.49/87.15 tff(30787,plain,
% 136.49/87.15 (v84(constB90, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[16991, 30786, 16983])).
% 136.49/87.15 tff(30788,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v84(constB90, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v84(constB90, bitIndex0))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30789,plain,
% 136.49/87.15 (((~less_3(bitIndex0)) | (~v94(constB90)) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0))) <=> ((~v94(constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v84(constB90, bitIndex0))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30790,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB90)) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v84(constB90, bitIndex0)))),
% 136.49/87.15 inference(monotonicity,[status(thm)],[30789])).
% 136.49/87.15 tff(30791,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB90)) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v84(constB90, bitIndex0))),
% 136.49/87.15 inference(transitivity,[status(thm)],[30790, 30788])).
% 136.49/87.15 tff(30792,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB90)) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30793,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex0)) | (~v123(constB90, bitIndex0)) | v84(constB90, bitIndex0)),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30792, 30791])).
% 136.49/87.15 tff(30794,plain,
% 136.49/87.15 ((~v94(constB90)) | (~v123(constB90, bitIndex0))),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30793, 1674, 795, 17006])).
% 136.49/87.15 tff(30795,plain,
% 136.49/87.15 (~v123(constB90, bitIndex0)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30794, 16983])).
% 136.49/87.15 tff(30796,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex0)) | v123(constB90, bitIndex0) | (~v121(constB89, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex0)) | v123(constB90, bitIndex0) | (~v121(constB89, bitIndex0)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30797,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex0)) | v123(constB90, bitIndex0) | (~v121(constB89, bitIndex0)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30798,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex0)) | v123(constB90, bitIndex0) | (~v121(constB89, bitIndex0))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30797, 30796])).
% 136.49/87.15 tff(30799,plain,
% 136.49/87.15 (~v121(constB89, bitIndex0)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30798, 1708, 795, 16855, 30795])).
% 136.49/87.15 tff(30800,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30801,plain,
% 136.49/87.15 ((v26(constB89) | v121(constB89, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0))) <=> (v26(constB89) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30802,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)))),
% 136.49/87.15 inference(monotonicity,[status(thm)],[30801])).
% 136.49/87.15 tff(30803,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0))),
% 136.49/87.15 inference(transitivity,[status(thm)],[30802, 30800])).
% 136.49/87.15 tff(30804,plain,
% 136.49/87.15 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30805,plain,
% 136.49/87.15 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex0)) | (~v124(constB89, bitIndex0)) | v121(constB89, bitIndex0)),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30804, 30803])).
% 136.49/87.15 tff(30806,plain,
% 136.49/87.15 (~v124(constB89, bitIndex0)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30805, 1728, 795, 16894, 30799])).
% 136.49/87.15 tff(30807,plain,
% 136.49/87.15 (~v115(constB89)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30355, 1148, 1193, 795, 30806])).
% 136.49/87.15 tff(30808,plain,
% 136.49/87.15 (v123(constB90, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30384, 16983])).
% 136.49/87.15 tff(30809,plain,
% 136.49/87.15 (v121(constB89, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30391, 1362, 823, 16855, 30808])).
% 136.49/87.15 tff(30810,plain,
% 136.49/87.15 (v124(constB89, bitIndex1)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30398, 1380, 823, 16894, 30809])).
% 136.49/87.15 tff(30811,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB89)) | (~v124(constB89, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB89)) | (~v124(constB89, bitIndex1)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30812,plain,
% 136.49/87.15 (((~v116(constB89)) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB89)) | (~v124(constB89, bitIndex1)))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30813,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB89)) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB89)) | (~v124(constB89, bitIndex1))))),
% 136.49/87.15 inference(monotonicity,[status(thm)],[30812])).
% 136.49/87.15 tff(30814,plain,
% 136.49/87.15 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB89)) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB89)) | (~v124(constB89, bitIndex1)))),
% 136.49/87.15 inference(transitivity,[status(thm)],[30813, 30811])).
% 136.49/87.15 tff(30815,plain,
% 136.49/87.15 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB89)) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b100(bitIndex1))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30816,plain,
% 136.49/87.15 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB89)) | (~v124(constB89, bitIndex1))),
% 136.49/87.15 inference(modus_ponens,[status(thm)],[30815, 30814])).
% 136.49/87.15 tff(30817,plain,
% 136.49/87.15 (~v116(constB89)),
% 136.49/87.15 inference(unit_resolution,[status(thm)],[30816, 2167, 2164, 823, 30810])).
% 136.49/87.15 tff(30818,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v84(constB90, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v84(constB90, bitIndex2))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30819,plain,
% 136.49/87.15 (((~less_3(bitIndex2)) | (~v94(constB90)) | v84(constB90, bitIndex2) | (~v123(constB90, bitIndex2))) <=> ((~v94(constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v84(constB90, bitIndex2))),
% 136.49/87.15 inference(rewrite,[status(thm)],[])).
% 136.49/87.15 tff(30820,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB90)) | v84(constB90, bitIndex2) | (~v123(constB90, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v84(constB90, bitIndex2)))),
% 136.49/87.15 inference(monotonicity,[status(thm)],[30819])).
% 136.49/87.15 tff(30821,plain,
% 136.49/87.15 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB90)) | v84(constB90, bitIndex2) | (~v123(constB90, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v84(constB90, bitIndex2))),
% 136.49/87.15 inference(transitivity,[status(thm)],[30820, 30818])).
% 136.49/87.15 tff(30822,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB90)) | v84(constB90, bitIndex2) | (~v123(constB90, bitIndex2)))),
% 136.49/87.15 inference(quant_inst,[status(thm)],[])).
% 136.49/87.15 tff(30823,plain,
% 136.49/87.15 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB90)) | (~less_3(bitIndex2)) | (~v123(constB90, bitIndex2)) | v84(constB90, bitIndex2)),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30822, 30821])).
% 136.49/87.16 tff(30824,plain,
% 136.49/87.16 ((~v94(constB90)) | (~v123(constB90, bitIndex2))),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30823, 1674, 767, 17044])).
% 136.49/87.16 tff(30825,plain,
% 136.49/87.16 (~v123(constB90, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30824, 16983])).
% 136.49/87.16 tff(30826,plain,
% 136.49/87.16 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex2)) | v123(constB90, bitIndex2) | (~v121(constB89, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex2)) | v123(constB90, bitIndex2) | (~v121(constB89, bitIndex2)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30827,plain,
% 136.49/87.16 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB89, constB90)) | (~less_3(bitIndex2)) | v123(constB90, bitIndex2) | (~v121(constB89, bitIndex2)))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30828,plain,
% 136.49/87.16 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB89, constB90)) | (~less_3(bitIndex2)) | v123(constB90, bitIndex2) | (~v121(constB89, bitIndex2))),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30827, 30826])).
% 136.49/87.16 tff(30829,plain,
% 136.49/87.16 (~v121(constB89, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30828, 1708, 767, 16855, 30825])).
% 136.49/87.16 tff(30830,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex2)) | v121(constB89, bitIndex2) | (~v124(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex2)) | v121(constB89, bitIndex2) | (~v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30831,plain,
% 136.49/87.16 ((v26(constB89) | v121(constB89, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2))) <=> (v26(constB89) | (~less_3(bitIndex2)) | v121(constB89, bitIndex2) | (~v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30832,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | (~less_3(bitIndex2)) | v121(constB89, bitIndex2) | (~v124(constB89, bitIndex2))))),
% 136.49/87.16 inference(monotonicity,[status(thm)],[30831])).
% 136.49/87.16 tff(30833,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex2)) | v121(constB89, bitIndex2) | (~v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(transitivity,[status(thm)],[30832, 30830])).
% 136.49/87.16 tff(30834,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB89) | v121(constB89, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30835,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB89) | (~less_3(bitIndex2)) | v121(constB89, bitIndex2) | (~v124(constB89, bitIndex2))),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30834, 30833])).
% 136.49/87.16 tff(30836,plain,
% 136.49/87.16 (~v124(constB89, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30835, 1728, 767, 16894, 30829])).
% 136.49/87.16 tff(30837,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB89)) | v124(constB89, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB89)) | v124(constB89, bitIndex2))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30838,plain,
% 136.49/87.16 (((~v172(constB89)) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB89)) | v124(constB89, bitIndex2))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30839,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB89)) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB89)) | v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(monotonicity,[status(thm)],[30838])).
% 136.49/87.16 tff(30840,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB89)) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB89)) | v124(constB89, bitIndex2))),
% 136.49/87.16 inference(transitivity,[status(thm)],[30839, 30837])).
% 136.49/87.16 tff(30841,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB89)) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~b110(bitIndex2)))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30842,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB89)) | v124(constB89, bitIndex2)),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30841, 30840])).
% 136.49/87.16 tff(30843,plain,
% 136.49/87.16 (~v172(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30842, 2066, 1798, 767, 30836])).
% 136.49/87.16 tff(30844,plain,
% 136.49/87.16 (~v113(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30405, 2167, 2186, 823, 30810])).
% 136.49/87.16 tff(30845,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB89)) | v124(constB89, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB89)) | v124(constB89, bitIndex0))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30846,plain,
% 136.49/87.16 (((~v118(constB89)) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB89)) | v124(constB89, bitIndex0))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30847,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB89)) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB89)) | v124(constB89, bitIndex0)))),
% 136.49/87.16 inference(monotonicity,[status(thm)],[30846])).
% 136.49/87.16 tff(30848,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB89)) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB89)) | v124(constB89, bitIndex0))),
% 136.49/87.16 inference(transitivity,[status(thm)],[30847, 30845])).
% 136.49/87.16 tff(30849,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB89)) | (~less_3(bitIndex0)) | v124(constB89, bitIndex0) | (~b011(bitIndex0)))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30850,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB89)) | v124(constB89, bitIndex0)),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30849, 30848])).
% 136.49/87.16 tff(30851,plain,
% 136.49/87.16 (~v118(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30850, 1148, 1145, 795, 30806])).
% 136.49/87.16 tff(30852,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex1)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30853,plain,
% 136.49/87.16 ((v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex1)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30854,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex1))))),
% 136.49/87.16 inference(monotonicity,[status(thm)],[30853])).
% 136.49/87.16 tff(30855,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex1)))),
% 136.49/87.16 inference(transitivity,[status(thm)],[30854, 30852])).
% 136.49/87.16 tff(30856,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB89) | v145(constB89) | v115(constB89) | v116(constB89) | v172(constB89) | v118(constB89) | (~less_3(bitIndex1)) | (~v124(constB89, bitIndex1)) | b001(bitIndex1))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30857,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB89) | v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89) | (~v124(constB89, bitIndex1))),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30856, 30855])).
% 136.49/87.16 tff(30858,plain,
% 136.49/87.16 (v113(constB89) | v118(constB89) | v172(constB89) | v116(constB89) | v115(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30857, 2601, 2424, 823, 16940, 30810])).
% 136.49/87.16 tff(30859,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30858, 30851, 30844, 30843, 30817, 30807])).
% 136.49/87.16 tff(30860,plain,((~v94(constB90)) | v145(constB89) | v84(constB90, bitIndex2) | (~v84(constB90, bitIndex1)) | v84(constB90, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30861,plain,
% 136.49/87.16 (v84(constB90, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30860, 30787, 16940, 30783, 16983])).
% 136.49/87.16 tff(30862,plain,
% 136.49/87.16 (v84(constB91, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30646, 30861])).
% 136.49/87.16 tff(30863,plain,
% 136.49/87.16 (v84(constB91, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16847, 30787])).
% 136.49/87.16 tff(30864,plain,
% 136.49/87.16 (~v84(constB91, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17012, 30783])).
% 136.49/87.16 tff(30865,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17173, 1910, 30864, 30863, 15717, 30862])).
% 136.49/87.16 tff(30866,plain,(v145(constB89) | v119(constB91) | (~v94(constB90)) | v84(constB89, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30867,plain,
% 136.49/87.16 (v119(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30866, 30780, 16940, 16939])).
% 136.49/87.16 tff(30868,plain,
% 136.49/87.16 (v84(constB90, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17052, 16788])).
% 136.49/87.16 tff(30869,plain,
% 136.49/87.16 (~v84(constB90, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30655, 17278])).
% 136.49/87.16 tff(30870,plain,
% 136.49/87.16 (v94(constB90)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29626, 30869])).
% 136.49/87.16 tff(30871,plain,
% 136.49/87.16 (v123(constB90, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17056, 1344, 767, 30870, 30868])).
% 136.49/87.16 tff(30872,plain,
% 136.49/87.16 (v121(constB89, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17064, 30871])).
% 136.49/87.16 tff(30873,plain,
% 136.49/87.16 (v124(constB89, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17071, 1380, 767, 16894, 30872])).
% 136.49/87.16 tff(30874,assumption,(v124(constB89, bitIndex2)), introduced(assumption)).
% 136.49/87.16 tff(30875,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB89)) | (~v124(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30876,plain,
% 136.49/87.16 (((~v145(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30877,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB89)) | (~v124(constB89, bitIndex2))))),
% 136.49/87.16 inference(monotonicity,[status(thm)],[30876])).
% 136.49/87.16 tff(30878,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(transitivity,[status(thm)],[30877, 30875])).
% 136.49/87.16 tff(30879,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b010(bitIndex2))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30880,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB89)) | (~v124(constB89, bitIndex2))),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30879, 30878])).
% 136.49/87.16 tff(30881,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30880, 1419, 1416, 767, 17147, 30874])).
% 136.49/87.16 tff(30882,plain,((~v124(constB89, bitIndex2)) | (~v145(constB89))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30883,plain,
% 136.49/87.16 (~v145(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30882, 30873])).
% 136.49/87.16 tff(30884,plain,
% 136.49/87.16 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB91, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB91, bitIndex1)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30885,plain,
% 136.49/87.16 (((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | (~v84(constB91, bitIndex1)) | v84(constB90, bitIndex1)) <=> ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB91, bitIndex1)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30886,plain,
% 136.49/87.16 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | (~v84(constB91, bitIndex1)) | v84(constB90, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB91, bitIndex1))))),
% 136.49/87.16 inference(monotonicity,[status(thm)],[30885])).
% 136.49/87.16 tff(30887,plain,
% 136.49/87.16 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | (~v84(constB91, bitIndex1)) | v84(constB90, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB91, bitIndex1)))),
% 136.49/87.16 inference(transitivity,[status(thm)],[30886, 30884])).
% 136.49/87.16 tff(30888,plain,
% 136.49/87.16 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | (~v84(constB91, bitIndex1)) | v84(constB90, bitIndex1))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30889,plain,
% 136.49/87.16 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB90, constB91)) | v94(constB91) | (~less_3(bitIndex1)) | v84(constB90, bitIndex1) | (~v84(constB91, bitIndex1))),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30888, 30887])).
% 136.49/87.16 tff(30890,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30889, 805, 823, 16830, 16842, 16972, 16253])).
% 136.49/87.16 tff(30891,plain,((~v84(constB91, bitIndex1)) | v84(constB90, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30892,plain,
% 136.49/87.16 (v84(constB90, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30891, 17292])).
% 136.49/87.16 tff(30893,plain,
% 136.49/87.16 (v123(constB90, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30383, 1344, 823, 30870, 30892])).
% 136.49/87.16 tff(30894,plain,
% 136.49/87.16 (v121(constB89, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30391, 1362, 823, 16855, 30893])).
% 136.49/87.16 tff(30895,plain,
% 136.49/87.16 (v124(constB89, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30398, 1380, 823, 16894, 30894])).
% 136.49/87.16 tff(30896,plain,
% 136.49/87.16 (~v113(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30405, 2167, 2186, 823, 30895])).
% 136.49/87.16 tff(30897,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30793, 1674, 795, 16983, 17006, 17022])).
% 136.49/87.16 tff(30898,plain,(v84(constB90, bitIndex0) | (~v94(constB90)) | (~v123(constB90, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30899,plain,
% 136.49/87.16 (~v123(constB90, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30898, 30869, 30870])).
% 136.49/87.16 tff(30900,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30798, 1708, 795, 16855, 17014, 17030])).
% 136.49/87.16 tff(30901,plain,(v123(constB90, bitIndex0) | (~v121(constB89, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30902,plain,
% 136.49/87.16 (~v121(constB89, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30901, 30899])).
% 136.49/87.16 tff(30903,plain,
% 136.49/87.16 (~v124(constB89, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30805, 1728, 795, 16894, 30902])).
% 136.49/87.16 tff(30904,plain,
% 136.49/87.16 (~v115(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30357, 30903])).
% 136.49/87.16 tff(30905,plain,
% 136.49/87.16 (~v116(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30816, 2167, 2164, 823, 30895])).
% 136.49/87.16 tff(30906,plain,
% 136.49/87.16 (~v84(constB89, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29657, 30905, 16942, 30904])).
% 136.49/87.16 tff(30907,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16956, 30906, 30896, 16942, 30883])).
% 136.49/87.16 tff(30908,plain,((~v119(constB91)) | v84(constB89, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30909,plain,
% 136.49/87.16 (v84(constB89, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30908, 30867])).
% 136.49/87.16 tff(30910,plain,
% 136.49/87.16 (v84(constB88, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29664, 30909])).
% 136.49/87.16 tff(30911,plain,
% 136.49/87.16 (v123(constB88, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29337, 1344, 767, 30424, 30910])).
% 136.49/87.16 tff(30912,plain,
% 136.49/87.16 (v121(constB87, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29342, 1362, 767, 29016, 30911])).
% 136.49/87.16 tff(30913,plain,
% 136.49/87.16 (v124(constB87, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29353, 1380, 767, 29347, 30912])).
% 136.49/87.16 tff(30914,plain,
% 136.49/87.16 (v104(constB88)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29744, 30424])).
% 136.49/87.16 tff(30915,plain,
% 136.49/87.16 (v102(constB87)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29752, 30914])).
% 136.49/87.16 tff(30916,plain,
% 136.49/87.16 (v106(constB87)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29760, 30915])).
% 136.49/87.16 tff(30917,plain,
% 136.49/87.16 (v107(constB87)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29764, 3161, 30916])).
% 136.49/87.16 tff(30918,plain,
% 136.49/87.16 (v119(constB87)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30001, 3195, 30917, 30322])).
% 136.49/87.16 tff(30919,plain,
% 136.49/87.16 (v84(constB87, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30734, 30918])).
% 136.49/87.16 tff(30920,plain,
% 136.49/87.16 (~v113(constB87)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30748, 1119, 30919])).
% 136.49/87.16 tff(30921,plain,
% 136.49/87.16 (~v116(constB87)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30067, 1130, 30919])).
% 136.49/87.16 tff(30922,plain,
% 136.49/87.16 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB87, bitIndex2)) | (~v145(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB87, bitIndex2)) | (~v145(constB87)))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30923,plain,
% 136.49/87.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB87, bitIndex2)) | (~v145(constB87)))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30924,plain,
% 136.49/87.16 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB87, bitIndex2)) | (~v145(constB87))),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30923, 30922])).
% 136.49/87.16 tff(30925,plain,
% 136.49/87.16 (~v145(constB87)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30924, 725, 30919])).
% 136.49/87.16 tff(30926,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29425, 2427, 2424, 767, 30925, 30921, 29222, 29690, 30718, 30920, 30913])).
% 136.49/87.16 tff(30927,plain,(v84(constB89, bitIndex1) | v115(constB87) | v172(constB87) | v84(constB87, bitIndex0) | v108(constB87) | v145(constB89)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30928,plain,
% 136.49/87.16 (v145(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30927, 30775, 30714, 30706, 30322, 29222])).
% 136.49/87.16 tff(30929,plain,
% 136.49/87.16 (v124(constB89, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17155, 30928])).
% 136.49/87.16 tff(30930,plain,
% 136.49/87.16 (v121(constB89, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17090, 30929])).
% 136.49/87.16 tff(30931,plain,
% 136.49/87.16 (v123(constB90, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17079, 30930])).
% 136.49/87.16 tff(30932,plain,
% 136.49/87.16 (v84(constB90, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16991, 30931, 30694])).
% 136.49/87.16 tff(30933,plain,
% 136.49/87.16 (v121(constB93, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16102, 17804, 30323])).
% 136.49/87.16 tff(30934,plain,
% 136.49/87.16 (v124(constB93, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[18899, 30933])).
% 136.49/87.16 tff(30935,plain,
% 136.49/87.16 (v94(constB92)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[18836, 30934])).
% 136.49/87.16 tff(30936,plain,
% 136.49/87.16 (~v84(constB89, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29004, 725, 30928])).
% 136.49/87.16 tff(30937,plain,
% 136.49/87.16 (~v119(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30908, 30936])).
% 136.49/87.16 tff(30938,plain,
% 136.49/87.16 (~v145(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17287, 16294])).
% 136.49/87.16 tff(30939,plain,
% 136.49/87.16 (~v115(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[18828, 30938])).
% 136.49/87.16 tff(30940,plain,
% 136.49/87.16 (~v84(constB93, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[18812, 30939, 17468])).
% 136.49/87.16 tff(30941,plain,
% 136.49/87.16 (~v84(constB92, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16133, 30940])).
% 136.49/87.16 tff(30942,plain,
% 136.49/87.16 (~v84(constB90, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30655, 16294])).
% 136.49/87.16 tff(30943,plain,
% 136.49/87.16 (v94(constB90)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29626, 30942])).
% 136.49/87.16 tff(30944,plain,
% 136.49/87.16 (~v123(constB90, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30898, 30942, 30943])).
% 136.49/87.16 tff(30945,plain,
% 136.49/87.16 (~v121(constB89, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30901, 30944])).
% 136.49/87.16 tff(30946,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30805, 1728, 795, 16894, 17120, 17023])).
% 136.49/87.16 tff(30947,plain,(v121(constB89, bitIndex0) | (~v124(constB89, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30948,plain,
% 136.49/87.16 (~v124(constB89, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30947, 30945])).
% 136.49/87.16 tff(30949,plain,
% 136.49/87.16 (~v84(constB91, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30891, 16972])).
% 136.49/87.16 tff(30950,plain,
% 136.49/87.16 (~v123(constB90, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16991, 16972, 30620])).
% 136.49/87.16 tff(30951,plain,
% 136.49/87.16 (~v121(constB89, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17079, 30950])).
% 136.49/87.16 tff(30952,plain,
% 136.49/87.16 (~v124(constB89, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17090, 30951])).
% 136.49/87.16 tff(30953,plain,
% 136.49/87.16 (~v172(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17118, 30952])).
% 136.49/87.16 tff(30954,plain,
% 136.49/87.16 (~v145(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17155, 30952])).
% 136.49/87.16 tff(30955,plain,
% 136.49/87.16 (v116(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30617, 30954, 17031, 30358, 30953])).
% 136.49/87.16 tff(30956,assumption,(~v124(constB89, bitIndex2)), introduced(assumption)).
% 136.49/87.16 tff(30957,assumption,(v116(constB89)), introduced(assumption)).
% 136.49/87.16 tff(30958,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB89)) | v124(constB89, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB89)) | v124(constB89, bitIndex2))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30959,plain,
% 136.49/87.16 (((~v116(constB89)) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB89)) | v124(constB89, bitIndex2))),
% 136.49/87.16 inference(rewrite,[status(thm)],[])).
% 136.49/87.16 tff(30960,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB89)) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB89)) | v124(constB89, bitIndex2)))),
% 136.49/87.16 inference(monotonicity,[status(thm)],[30959])).
% 136.49/87.16 tff(30961,plain,
% 136.49/87.16 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB89)) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB89)) | v124(constB89, bitIndex2))),
% 136.49/87.16 inference(transitivity,[status(thm)],[30960, 30958])).
% 136.49/87.16 tff(30962,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB89)) | (~less_3(bitIndex2)) | v124(constB89, bitIndex2) | (~b100(bitIndex2)))),
% 136.49/87.16 inference(quant_inst,[status(thm)],[])).
% 136.49/87.16 tff(30963,plain,
% 136.49/87.16 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB89)) | v124(constB89, bitIndex2)),
% 136.49/87.16 inference(modus_ponens,[status(thm)],[30962, 30961])).
% 136.49/87.16 tff(30964,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30963, 1772, 1769, 767, 30957, 30956])).
% 136.49/87.16 tff(30965,plain,(v124(constB89, bitIndex2) | (~v116(constB89))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30966,plain,
% 136.49/87.16 (v124(constB89, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30965, 30955])).
% 136.49/87.16 tff(30967,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30835, 1728, 767, 16894, 30874, 17058])).
% 136.49/87.16 tff(30968,plain,(v121(constB89, bitIndex2) | (~v124(constB89, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30969,plain,
% 136.49/87.16 (v121(constB89, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30968, 30966])).
% 136.49/87.16 tff(30970,assumption,(~v123(constB90, bitIndex2)), introduced(assumption)).
% 136.49/87.16 tff(30971,assumption,(v121(constB89, bitIndex2)), introduced(assumption)).
% 136.49/87.16 tff(30972,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30828, 1708, 767, 16855, 30971, 30970])).
% 136.49/87.16 tff(30973,plain,(v123(constB90, bitIndex2) | (~v121(constB89, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30974,plain,
% 136.49/87.16 (v123(constB90, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30973, 30969])).
% 136.49/87.16 tff(30975,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30823, 1674, 767, 16983, 17044, 17059])).
% 136.49/87.16 tff(30976,plain,(v84(constB90, bitIndex2) | (~v94(constB90)) | (~v123(constB90, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(30977,plain,
% 136.49/87.16 (v84(constB90, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30976, 30974, 30620])).
% 136.49/87.16 tff(30978,plain,
% 136.49/87.16 (v84(constB91, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30646, 30977])).
% 136.49/87.16 tff(30979,plain,
% 136.49/87.16 (~v84(constB90, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17020, 30620, 30622])).
% 136.49/87.16 tff(30980,plain,
% 136.49/87.16 (~v84(constB91, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17012, 30979])).
% 136.49/87.16 tff(30981,plain,
% 136.49/87.16 (v84(constB91, bitIndex1) | (~v84(constB91, bitIndex2)) | v172(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16361, 1047, 30980])).
% 136.49/87.16 tff(30982,plain,
% 136.49/87.16 (v172(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30981, 30978, 30949])).
% 136.49/87.16 tff(30983,plain,
% 136.49/87.16 (~v124(constB91, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17452, 30982])).
% 136.49/87.16 tff(30984,plain,
% 136.49/87.16 (~v121(constB91, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16437, 30983])).
% 136.49/87.16 tff(30985,plain,
% 136.49/87.16 (~v123(constB92, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16426, 30984])).
% 136.49/87.16 tff(30986,plain,
% 136.49/87.16 (v109(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17004, 30949, 30980])).
% 136.49/87.16 tff(30987,plain,
% 136.49/87.16 (v108(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16811, 30986])).
% 136.49/87.16 tff(30988,plain,
% 136.49/87.16 (v107(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30331, 30987])).
% 136.49/87.16 tff(30989,plain,
% 136.49/87.16 (v106(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16203, 30988])).
% 136.49/87.16 tff(30990,plain,
% 136.49/87.16 (v102(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16194, 619, 30989])).
% 136.49/87.16 tff(30991,plain,
% 136.49/87.16 (v104(constB92)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16190, 30990])).
% 136.49/87.16 tff(30992,plain,
% 136.49/87.16 (v94(constB92)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16182, 30991])).
% 136.49/87.16 tff(30993,plain,
% 136.49/87.16 (~v84(constB92, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16415, 30992, 30985])).
% 136.49/87.16 tff(30994,plain,
% 136.49/87.16 (~v84(constB93, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16406, 30993])).
% 136.49/87.16 tff(30995,plain,
% 136.49/87.16 (~v145(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17287, 30980])).
% 136.49/87.16 tff(30996,plain,
% 136.49/87.16 (v84(constB92, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17445, 30993, 30995])).
% 136.49/87.16 tff(30997,plain,
% 136.49/87.16 (v84(constB93, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16152, 30996])).
% 136.49/87.16 tff(30998,plain,
% 136.49/87.16 (v107(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17626, 30997, 30994])).
% 136.49/87.16 tff(30999,plain,
% 136.49/87.16 (v106(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15928, 30998])).
% 136.49/87.16 tff(31000,plain,
% 136.49/87.16 (v102(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15920, 619, 30999])).
% 136.49/87.16 tff(31001,plain,
% 136.49/87.16 (v104(constB94)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15916, 31000])).
% 136.49/87.16 tff(31002,plain,
% 136.49/87.16 (v94(constB94)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15908, 31001])).
% 136.49/87.16 tff(31003,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16581, 1801, 1798, 823, 17450, 16479])).
% 136.49/87.16 tff(31004,plain,(v124(constB91, bitIndex1) | (~v172(constB91))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(31005,plain,
% 136.49/87.16 (v124(constB91, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[31004, 30982])).
% 136.49/87.16 tff(31006,plain,
% 136.49/87.16 (v121(constB91, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16477, 31005])).
% 136.49/87.16 tff(31007,plain,
% 136.49/87.16 (v123(constB92, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16466, 31006])).
% 136.49/87.16 tff(31008,plain,
% 136.49/87.16 (v84(constB92, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16458, 30992, 31007])).
% 136.49/87.16 tff(31009,plain,
% 136.49/87.16 (v84(constB93, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16133, 31008])).
% 136.49/87.16 tff(31010,plain,
% 136.49/87.16 (~v172(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17229, 2289, 31009])).
% 136.49/87.16 tff(31011,plain,
% 136.49/87.16 (~v145(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16144, 30997])).
% 136.49/87.16 tff(31012,plain,
% 136.49/87.16 (~v113(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17186, 1465, 31009])).
% 136.49/87.16 tff(31013,plain,
% 136.49/87.16 (~v116(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17203, 1130, 30997])).
% 136.49/87.16 tff(31014,plain,
% 136.49/87.16 (~v118(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17220, 2842, 31009])).
% 136.49/87.16 tff(31015,plain,
% 136.49/87.16 (~v115(constB93)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16806, 2665, 30997])).
% 136.49/87.16 tff(31016,plain,
% 136.49/87.16 (~v124(constB93, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[18844, 31015, 31014, 31013, 31012, 31011, 31010])).
% 136.49/87.16 tff(31017,plain,
% 136.49/87.16 (~v121(constB93, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[18899, 31016])).
% 136.49/87.16 tff(31018,plain,
% 136.49/87.16 (~v84(constB94, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16102, 31017, 31002])).
% 136.49/87.16 tff(31019,plain,
% 136.49/87.16 (~v84(constB95, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17668, 31018])).
% 136.49/87.16 tff(31020,plain,
% 136.49/87.16 (~v119(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17291, 9858, 30949])).
% 136.49/87.16 tff(31021,plain,
% 136.49/87.16 (v124(constB95, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16699, 31020, 31019])).
% 136.49/87.16 tff(31022,plain,
% 136.49/87.16 (v121(constB95, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15484, 1728, 823, 15453, 31021])).
% 136.49/87.16 tff(31023,plain,
% 136.49/87.16 (v123(constB96, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16767, 31022])).
% 136.49/87.16 tff(31024,plain,
% 136.49/87.16 (~v94(constB96)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15222, 31023, 15214])).
% 136.49/87.16 tff(31025,plain,
% 136.49/87.16 (v84(constB95, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15704, 31024])).
% 136.49/87.16 tff(31026,plain,
% 136.49/87.16 (~v104(constB96)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15342, 31024])).
% 136.49/87.16 tff(31027,plain,
% 136.49/87.16 (~v102(constB95)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15350, 31026])).
% 136.49/87.16 tff(31028,plain,
% 136.49/87.16 (~v106(constB95)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15354, 619, 31027])).
% 136.49/87.16 tff(31029,plain,
% 136.49/87.16 (~v107(constB95)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15645, 31028])).
% 136.49/87.16 tff(31030,plain,
% 136.49/87.16 (~v108(constB95)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15369, 658, 31029])).
% 136.49/87.16 tff(31031,plain,
% 136.49/87.16 (~v118(constB95)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16776, 1004, 31030])).
% 136.49/87.16 tff(31032,plain,
% 136.49/87.16 ((~v84(constB95, bitIndex2)) | v118(constB95) | (~v84(constB95, bitIndex0))),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15734, 1018, 31019])).
% 136.49/87.16 tff(31033,plain,
% 136.49/87.16 (~v84(constB95, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[31032, 31031, 31025])).
% 136.49/87.16 tff(31034,plain,
% 136.49/87.16 (v84(constB96, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15437, 31024])).
% 136.49/87.16 tff(31035,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[15662, 805, 795, 15303, 31024, 31034, 31033])).
% 136.49/87.16 tff(31036,plain,(v84(constB90, bitIndex1) | v84(constB96, bitIndex1) | v124(constB89, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(31037,plain,
% 136.49/87.16 (v84(constB90, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[31036, 30948, 15214])).
% 136.49/87.16 tff(31038,plain,
% 136.49/87.16 (v84(constB91, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16847, 31037])).
% 136.49/87.16 tff(31039,plain,
% 136.49/87.16 (v84(constB91, bitIndex0) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex2))),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17173, 1910, 15717])).
% 136.49/87.16 tff(31040,plain,
% 136.49/87.16 (~v84(constB91, bitIndex2)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[31039, 31038, 16294])).
% 136.49/87.16 tff(31041,plain,
% 136.49/87.16 (v84(constB91, bitIndex0) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1))),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16300, 1095, 16678])).
% 136.49/87.16 tff(31042,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[31041, 31040, 31038, 16294])).
% 136.49/87.16 tff(31043,plain,(v84(constB91, bitIndex0) | v115(constB91) | v119(constB91) | v84(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(31044,plain,
% 136.49/87.16 (v115(constB91)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[31043, 16294, 15214, 15717])).
% 136.49/87.16 tff(31045,plain,
% 136.49/87.16 (v124(constB91, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16488, 31044])).
% 136.49/87.16 tff(31046,plain,
% 136.49/87.16 (v121(constB91, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16477, 31045])).
% 136.49/87.16 tff(31047,plain,
% 136.49/87.16 (v123(constB92, bitIndex1)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16466, 31046])).
% 136.49/87.16 tff(31048,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[16458, 31047, 30941, 16410])).
% 136.49/87.16 tff(31049,plain,(v84(constB91, bitIndex0) | (~v94(constB92)) | (~v124(constB93, bitIndex1)) | v84(constB96, bitIndex1) | v119(constB91)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(31050,plain,
% 136.49/87.16 (v84(constB91, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[31049, 30937, 30934, 15214, 30935])).
% 136.49/87.16 tff(31051,plain,
% 136.49/87.16 (v84(constB90, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[17012, 31050])).
% 136.49/87.16 tff(31052,plain,
% 136.49/87.16 (v124(constB89, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30624, 31051])).
% 136.49/87.16 tff(31053,plain,
% 136.49/87.16 (~v172(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[30778, 31052])).
% 136.49/87.16 tff(31054,plain,
% 136.49/87.16 ($false),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[28990, 788, 17147, 29255])).
% 136.49/87.16 tff(31055,plain,((~v145(constB89)) | v84(constB89, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.16 tff(31056,plain,
% 136.49/87.16 (v84(constB89, bitIndex0)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[31055, 30928])).
% 136.49/87.16 tff(31057,plain,
% 136.49/87.16 (~v119(constB89)),
% 136.49/87.16 inference(unit_resolution,[status(thm)],[29299, 3173, 31056])).
% 136.49/87.17 tff(31058,plain,
% 136.49/87.17 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB89, bitIndex2) | (~v118(constB89)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB89, bitIndex2) | (~v118(constB89)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31059,plain,
% 136.49/87.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB89, bitIndex2) | (~v118(constB89)))),
% 136.49/87.17 inference(quant_inst,[status(thm)],[])).
% 136.49/87.17 tff(31060,plain,
% 136.49/87.17 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB89, bitIndex2) | (~v118(constB89))),
% 136.49/87.17 inference(modus_ponens,[status(thm)],[31059, 31058])).
% 136.49/87.17 tff(31061,plain,
% 136.49/87.17 (~v118(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31060, 5252, 30936])).
% 136.49/87.17 tff(31062,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[30419, 31061, 31057, 30775, 31051, 31053, 30932])).
% 136.49/87.17 tff(31063,plain,(v108(constB87) | v84(constB96, bitIndex1) | v115(constB87)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31064,plain,
% 136.49/87.17 (v115(constB87)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31063, 30322, 15214])).
% 136.49/87.17 tff(31065,plain,
% 136.49/87.17 (v84(constB87, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[30734, 30705])).
% 136.49/87.17 tff(31066,plain,
% 136.49/87.17 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB87, bitIndex2)) | (~v115(constB87)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB87, bitIndex2)) | (~v115(constB87)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31067,plain,
% 136.49/87.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB87, bitIndex2)) | (~v115(constB87)))),
% 136.49/87.17 inference(quant_inst,[status(thm)],[])).
% 136.49/87.17 tff(31068,plain,
% 136.49/87.17 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB87, bitIndex2)) | (~v115(constB87))),
% 136.49/87.17 inference(modus_ponens,[status(thm)],[31067, 31066])).
% 136.49/87.17 tff(31069,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31068, 2665, 31065, 31064])).
% 136.49/87.17 tff(31070,plain,(v108(constB87) | v84(constB96, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31071,plain,
% 136.49/87.17 (v84(constB96, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31070, 30321])).
% 136.49/87.17 tff(31072,plain,
% 136.49/87.17 (v84(constB97, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15199, 31071])).
% 136.49/87.17 tff(31073,plain,
% 136.49/87.17 (~v145(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14851, 31072])).
% 136.49/87.17 tff(31074,plain,
% 136.49/87.17 (~v104(constB86)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29773, 30317])).
% 136.49/87.17 tff(31075,plain,
% 136.49/87.17 (~v94(constB86)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29778, 31074])).
% 136.49/87.17 tff(31076,plain,
% 136.49/87.17 (v84(constB86, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29949, 31075])).
% 136.49/87.17 tff(31077,plain,
% 136.49/87.17 (~v104(constB88)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29752, 30320])).
% 136.49/87.17 tff(31078,plain,
% 136.49/87.17 (~v94(constB88)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29744, 31077])).
% 136.49/87.17 tff(31079,plain,
% 136.49/87.17 (~v107(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29329, 31078])).
% 136.49/87.17 tff(31080,plain,
% 136.49/87.17 (~v106(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29737, 3161, 31079])).
% 136.49/87.17 tff(31081,plain,
% 136.49/87.17 (~v102(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29733, 31080])).
% 136.49/87.17 tff(31082,plain,
% 136.49/87.17 (~v104(constB90)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29725, 31081])).
% 136.49/87.17 tff(31083,plain,
% 136.49/87.17 (~v94(constB90)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29717, 31082])).
% 136.49/87.17 tff(31084,plain,
% 136.49/87.17 (~v107(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[30693, 31083])).
% 136.49/87.17 tff(31085,plain,
% 136.49/87.17 (~v106(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17271, 3161, 31084])).
% 136.49/87.17 tff(31086,plain,
% 136.49/87.17 (~v102(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17267, 31085])).
% 136.49/87.17 tff(31087,plain,
% 136.49/87.17 (v84(constB94, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17634, 31086])).
% 136.49/87.17 tff(31088,plain,
% 136.49/87.17 (v84(constB95, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15642, 31087])).
% 136.49/87.17 tff(31089,plain,
% 136.49/87.17 (~v145(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19574, 31088])).
% 136.49/87.17 tff(31090,plain,
% 136.49/87.17 (~v113(constB95)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17811, 31088])).
% 136.49/87.17 tff(31091,plain,
% 136.49/87.17 (~v104(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17259, 31086])).
% 136.49/87.17 tff(31092,plain,
% 136.49/87.17 (~v94(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17251, 31091])).
% 136.49/87.17 tff(31093,plain,
% 136.49/87.17 (v84(constB94, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16027, 31092])).
% 136.49/87.17 tff(31094,plain,
% 136.49/87.17 (v84(constB95, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15751, 31093])).
% 136.49/87.17 tff(31095,plain,
% 136.49/87.17 (~v145(constB95)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17657, 31094])).
% 136.49/87.17 tff(31096,plain,
% 136.49/87.17 (~v172(constB95)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18281, 31088])).
% 136.49/87.17 tff(31097,plain,
% 136.49/87.17 (v84(constB94, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17645, 31093, 31086, 31087])).
% 136.49/87.17 tff(31098,plain,
% 136.49/87.17 (v84(constB95, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16697, 31097])).
% 136.49/87.17 tff(31099,plain,
% 136.49/87.17 (~v115(constB95)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17650, 3011, 31098])).
% 136.49/87.17 tff(31100,plain,
% 136.49/87.17 (~v118(constB95)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17824, 31088])).
% 136.49/87.17 tff(31101,plain,
% 136.49/87.17 (~v145(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17833, 816, 31087])).
% 136.49/87.17 tff(31102,plain,
% 136.49/87.17 (~v113(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17837, 1465, 31087])).
% 136.49/87.17 tff(31103,plain,
% 136.49/87.17 (~v112(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17844, 2894, 31102, 31101])).
% 136.49/87.17 tff(31104,plain,
% 136.49/87.17 (~v115(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17829, 3011, 31097])).
% 136.49/87.17 tff(31105,plain,
% 136.49/87.17 (~v111(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17848, 2911, 31104, 31103])).
% 136.49/87.17 tff(31106,plain,
% 136.49/87.17 (~v116(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17853, 1130, 31093])).
% 136.49/87.17 tff(31107,plain,
% 136.49/87.17 (v111(constB94) | (~v110(constB94))),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17857, 2932, 31106])).
% 136.49/87.17 tff(31108,plain,
% 136.49/87.17 (~v110(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31107, 31105])).
% 136.49/87.17 tff(31109,plain,
% 136.49/87.17 (~v172(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17861, 2289, 31087])).
% 136.49/87.17 tff(31110,plain,
% 136.49/87.17 ((~v109(constB94)) | v110(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17868, 2871, 31109])).
% 136.49/87.17 tff(31111,plain,
% 136.49/87.17 (~v109(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31110, 31108])).
% 136.49/87.17 tff(31112,plain,
% 136.49/87.17 (~v118(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18253, 2842, 31087])).
% 136.49/87.17 tff(31113,plain,
% 136.49/87.17 (v109(constB94) | (~v108(constB94))),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18257, 2856, 31112])).
% 136.49/87.17 tff(31114,plain,
% 136.49/87.17 (~v108(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31113, 31111])).
% 136.49/87.17 tff(31115,plain,
% 136.49/87.17 (~v119(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18244, 3173, 31097])).
% 136.49/87.17 tff(31116,plain,
% 136.49/87.17 (v108(constB94) | (~v107(constB94))),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18248, 3195, 31115])).
% 136.49/87.17 tff(31117,plain,
% 136.49/87.17 (~v107(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31116, 31114])).
% 136.49/87.17 tff(31118,plain,
% 136.49/87.17 (~v106(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18237, 3161, 31117])).
% 136.49/87.17 tff(31119,plain,
% 136.49/87.17 (~v102(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18233, 31118])).
% 136.49/87.17 tff(31120,plain,
% 136.49/87.17 (v84(constB97, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18355, 31119, 31099, 31095, 31096, 31100, 31090])).
% 136.49/87.17 tff(31121,plain,
% 136.49/87.17 (v84(constB96, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18358, 31120])).
% 136.49/87.17 tff(31122,plain,
% 136.49/87.17 (~v94(constB96)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18383, 31121, 31100, 31099, 31096, 31071, 31095, 31090])).
% 136.49/87.17 tff(31123,plain,
% 136.49/87.17 (v84(constB98, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18503, 31122])).
% 136.49/87.17 tff(31124,plain,
% 136.49/87.17 (v84(constB99, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15161, 31123])).
% 136.49/87.17 tff(31125,plain,
% 136.49/87.17 (v84(constB98, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18686, 31124, 31086, 31087, 31089])).
% 136.49/87.17 tff(31126,plain,
% 136.49/87.17 (v84(constB99, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15089, 31125])).
% 136.49/87.17 tff(31127,plain,
% 136.49/87.17 (~v118(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15127, 2842, 31126])).
% 136.49/87.17 tff(31128,plain,
% 136.49/87.17 (~v172(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18508, 7708, 31124])).
% 136.49/87.17 tff(31129,plain,
% 136.49/87.17 (~v107(constB105)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18757, 31086])).
% 136.49/87.17 tff(31130,plain,
% 136.49/87.17 (~v106(constB105)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[10240, 3161, 31129])).
% 136.49/87.17 tff(31131,plain,
% 136.49/87.17 (~v102(constB105)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[11107, 31130])).
% 136.49/87.17 tff(31132,plain,
% 136.49/87.17 (~v104(constB106)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[10228, 31131])).
% 136.49/87.17 tff(31133,plain,
% 136.49/87.17 (~v94(constB106)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[10220, 31132])).
% 136.49/87.17 tff(31134,plain,
% 136.49/87.17 (~v107(constB107)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[11370, 31133])).
% 136.49/87.17 tff(31135,plain,
% 136.49/87.17 (~v106(constB107)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[8895, 3161, 31134])).
% 136.49/87.17 tff(31136,plain,
% 136.49/87.17 (~v102(constB107)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[8891, 31135])).
% 136.49/87.17 tff(31137,plain,
% 136.49/87.17 (~v104(constB108)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[8883, 31136])).
% 136.49/87.17 tff(31138,plain,
% 136.49/87.17 (~v94(constB108)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[8875, 31137])).
% 136.49/87.17 tff(31139,plain,
% 136.49/87.17 (v84(constB101, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14814, 31138])).
% 136.49/87.17 tff(31140,plain,
% 136.49/87.17 (v84(constB100, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19197, 31139])).
% 136.49/87.17 tff(31141,plain,
% 136.49/87.17 (v84(constB98, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18625, 31086, 31087])).
% 136.49/87.17 tff(31142,plain,
% 136.49/87.17 (v84(constB99, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15066, 31141])).
% 136.49/87.17 tff(31143,plain,
% 136.49/87.17 (~v113(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18630, 1119, 31142])).
% 136.49/87.17 tff(31144,plain,
% 136.49/87.17 (v84(constB103, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14761, 31138])).
% 136.49/87.17 tff(31145,plain,
% 136.49/87.17 (v84(constB105, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[9504, 31129])).
% 136.49/87.17 tff(31146,plain,
% 136.49/87.17 (v84(constB105, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[9745, 31133])).
% 136.49/87.17 tff(31147,plain,
% 136.49/87.17 (v84(constB105, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[9666, 31146, 31145])).
% 136.49/87.17 tff(31148,plain,
% 136.49/87.17 (v84(constB104, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[11043, 31147])).
% 136.49/87.17 tff(31149,plain,
% 136.49/87.17 (v84(constB104, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[9566, 31146])).
% 136.49/87.17 tff(31150,plain,
% 136.49/87.17 (v84(constB110, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[6985, 31138])).
% 136.49/87.17 tff(31151,plain,
% 136.49/87.17 (v84(constB103, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14711, 31138, 31150])).
% 136.49/87.17 tff(31152,plain,
% 136.49/87.17 (~v172(constB103)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14288, 7708, 31151])).
% 136.49/87.17 tff(31153,plain,
% 136.49/87.17 (v84(constB103, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14780, 31152, 31149, 31148, 31144])).
% 136.49/87.17 tff(31154,plain,
% 136.49/87.17 (v84(constB102, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14453, 31153])).
% 136.49/87.17 tff(31155,plain,
% 136.49/87.17 (v84(constB102, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14470, 31144])).
% 136.49/87.17 tff(31156,plain,
% 136.49/87.17 (v84(constB102, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14768, 31151])).
% 136.49/87.17 tff(31157,plain,
% 136.49/87.17 (~v94(constB102)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14811, 31154, 31156, 31155])).
% 136.49/87.17 tff(31158,plain,
% 136.49/87.17 (v84(constB101, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13829, 805, 823, 13597, 31157, 31154])).
% 136.49/87.17 tff(31159,plain,
% 136.49/87.17 (v84(constB100, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18970, 31158])).
% 136.49/87.17 tff(31160,plain,
% 136.49/87.17 (~v94(constB100)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[20848, 31159, 31143, 31140, 31128, 31089, 31127])).
% 136.49/87.17 tff(31161,plain,
% 136.49/87.17 (~v84(sK0_VarCurr, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[3848, 3805, 3774])).
% 136.49/87.17 tff(31162,plain,
% 136.49/87.17 (v113(sK0_VarCurr)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[3855, 3805, 3774])).
% 136.49/87.17 tff(31163,assumption,(v124(sK0_VarCurr, bitIndex1)), introduced(assumption)).
% 136.49/87.17 tff(31164,assumption,(v113(sK0_VarCurr)), introduced(assumption)).
% 136.49/87.17 tff(31165,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(sK0_VarCurr)) | (~v124(sK0_VarCurr, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(sK0_VarCurr)) | (~v124(sK0_VarCurr, bitIndex1)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31166,plain,
% 136.49/87.17 (((~v113(sK0_VarCurr)) | (~less_3(bitIndex1)) | (~v124(sK0_VarCurr, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(sK0_VarCurr)) | (~v124(sK0_VarCurr, bitIndex1)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31167,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(sK0_VarCurr)) | (~less_3(bitIndex1)) | (~v124(sK0_VarCurr, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(sK0_VarCurr)) | (~v124(sK0_VarCurr, bitIndex1))))),
% 136.49/87.17 inference(monotonicity,[status(thm)],[31166])).
% 136.49/87.17 tff(31168,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(sK0_VarCurr)) | (~less_3(bitIndex1)) | (~v124(sK0_VarCurr, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(sK0_VarCurr)) | (~v124(sK0_VarCurr, bitIndex1)))),
% 136.49/87.17 inference(transitivity,[status(thm)],[31167, 31165])).
% 136.49/87.17 tff(31169,plain,
% 136.49/87.17 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(sK0_VarCurr)) | (~less_3(bitIndex1)) | (~v124(sK0_VarCurr, bitIndex1)) | b100(bitIndex1))),
% 136.49/87.17 inference(quant_inst,[status(thm)],[])).
% 136.49/87.17 tff(31170,plain,
% 136.49/87.17 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(sK0_VarCurr)) | (~v124(sK0_VarCurr, bitIndex1))),
% 136.49/87.17 inference(modus_ponens,[status(thm)],[31169, 31168])).
% 136.49/87.17 tff(31171,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31170, 2167, 2186, 823, 31164, 31163])).
% 136.49/87.17 tff(31172,plain,((~v124(sK0_VarCurr, bitIndex1)) | (~v113(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31173,plain,
% 136.49/87.17 (~v124(sK0_VarCurr, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31172, 31162])).
% 136.49/87.17 tff(31174,assumption,(~v124(sK0_VarCurr, bitIndex1)), introduced(assumption)).
% 136.49/87.17 tff(31175,assumption,(v145(sK0_VarCurr)), introduced(assumption)).
% 136.49/87.17 tff(31176,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(sK0_VarCurr)) | (~b010(bitIndex1)) | v124(sK0_VarCurr, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(sK0_VarCurr)) | (~b010(bitIndex1)) | v124(sK0_VarCurr, bitIndex1))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31177,plain,
% 136.49/87.17 (((~v145(sK0_VarCurr)) | (~less_3(bitIndex1)) | v124(sK0_VarCurr, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(sK0_VarCurr)) | (~b010(bitIndex1)) | v124(sK0_VarCurr, bitIndex1))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31178,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(sK0_VarCurr)) | (~less_3(bitIndex1)) | v124(sK0_VarCurr, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(sK0_VarCurr)) | (~b010(bitIndex1)) | v124(sK0_VarCurr, bitIndex1)))),
% 136.49/87.17 inference(monotonicity,[status(thm)],[31177])).
% 136.49/87.17 tff(31179,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(sK0_VarCurr)) | (~less_3(bitIndex1)) | v124(sK0_VarCurr, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(sK0_VarCurr)) | (~b010(bitIndex1)) | v124(sK0_VarCurr, bitIndex1))),
% 136.49/87.17 inference(transitivity,[status(thm)],[31178, 31176])).
% 136.49/87.17 tff(31180,plain,
% 136.49/87.17 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(sK0_VarCurr)) | (~less_3(bitIndex1)) | v124(sK0_VarCurr, bitIndex1) | (~b010(bitIndex1)))),
% 136.49/87.17 inference(quant_inst,[status(thm)],[])).
% 136.49/87.17 tff(31181,plain,
% 136.49/87.17 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(sK0_VarCurr)) | (~b010(bitIndex1)) | v124(sK0_VarCurr, bitIndex1)),
% 136.49/87.17 inference(modus_ponens,[status(thm)],[31180, 31179])).
% 136.49/87.17 tff(31182,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31181, 1821, 1818, 823, 31175, 31174])).
% 136.49/87.17 tff(31183,plain,(v124(sK0_VarCurr, bitIndex1) | (~v145(sK0_VarCurr))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31184,plain,
% 136.49/87.17 (~v145(sK0_VarCurr)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31183, 31173])).
% 136.49/87.17 tff(31185,assumption,(~(constB57 = sK0_VarCurr)), introduced(assumption)).
% 136.49/87.17 tff(31186,plain,
% 136.49/87.17 (~v84(sK0_VarCurr, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[22894, 22885, 3805, 22862])).
% 136.49/87.17 tff(31187,plain,
% 136.49/87.17 (~v107(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19015, 13203])).
% 136.49/87.17 tff(31188,plain,
% 136.49/87.17 (~v108(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13221, 658, 31187])).
% 136.49/87.17 tff(31189,plain,
% 136.49/87.17 (~v109(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13225, 669, 31188])).
% 136.49/87.17 tff(31190,plain,
% 136.49/87.17 (~v172(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13341, 1033, 31189])).
% 136.49/87.17 tff(31191,plain,
% 136.49/87.17 (~v118(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13337, 1004, 31188])).
% 136.49/87.17 tff(31192,plain,
% 136.49/87.17 (v84(constB99, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13360, 13334, 31191, 31190])).
% 136.49/87.17 tff(31193,plain,
% 136.49/87.17 (v84(constB98, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18661, 31192])).
% 136.49/87.17 tff(31194,plain,
% 136.49/87.17 (v84(constB98, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19066, 13334])).
% 136.49/87.17 tff(31195,plain,
% 136.49/87.17 (~v119(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13364, 1927, 31187])).
% 136.49/87.17 tff(31196,plain,
% 136.49/87.17 (v84(constB99, bitIndex0) | (~v84(constB99, bitIndex1)) | (~v84(constB99, bitIndex2))),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13371, 1910, 31195])).
% 136.49/87.17 tff(31197,plain,
% 136.49/87.17 (v84(constB99, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31196, 31192, 13334])).
% 136.49/87.17 tff(31198,plain,
% 136.49/87.17 (v84(constB98, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19431, 31197])).
% 136.49/87.17 tff(31199,plain,
% 136.49/87.17 (~v115(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17791, 17783])).
% 136.49/87.17 tff(31200,plain,
% 136.49/87.17 (~v121(constB97, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19447, 17783])).
% 136.49/87.17 tff(31201,plain,
% 136.49/87.17 (~v123(constB98, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19441, 31200])).
% 136.49/87.17 tff(31202,plain,
% 136.49/87.17 ((~v94(constB98)) | v123(constB98, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19435, 1344, 795, 15156])).
% 136.49/87.17 tff(31203,plain,
% 136.49/87.17 (~v94(constB98)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31202, 31201])).
% 136.49/87.17 tff(31204,plain,
% 136.49/87.17 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB98, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB98, bitIndex0)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31205,plain,
% 136.49/87.17 (((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB98, bitIndex0)) | v84(constB97, bitIndex0)) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB98, bitIndex0)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31206,plain,
% 136.49/87.17 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB98, bitIndex0)) | v84(constB97, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB98, bitIndex0))))),
% 136.49/87.17 inference(monotonicity,[status(thm)],[31205])).
% 136.49/87.17 tff(31207,plain,
% 136.49/87.17 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB98, bitIndex0)) | v84(constB97, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB98, bitIndex0)))),
% 136.49/87.17 inference(transitivity,[status(thm)],[31206, 31204])).
% 136.49/87.17 tff(31208,plain,
% 136.49/87.17 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | (~v84(constB98, bitIndex0)) | v84(constB97, bitIndex0))),
% 136.49/87.17 inference(quant_inst,[status(thm)],[])).
% 136.49/87.17 tff(31209,plain,
% 136.49/87.17 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex0)) | v84(constB97, bitIndex0) | (~v84(constB98, bitIndex0))),
% 136.49/87.17 inference(modus_ponens,[status(thm)],[31208, 31207])).
% 136.49/87.17 tff(31210,plain,
% 136.49/87.17 (v94(constB98) | v84(constB97, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31209, 805, 795, 14884, 15156])).
% 136.49/87.17 tff(31211,plain,
% 136.49/87.17 (v84(constB97, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31210, 31203])).
% 136.49/87.17 tff(31212,plain,
% 136.49/87.17 (~v113(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15560, 2764, 31211])).
% 136.49/87.17 tff(31213,plain,
% 136.49/87.17 (v84(constB97, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15207, 31203])).
% 136.49/87.17 tff(31214,plain,
% 136.49/87.17 (~v145(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14851, 31213])).
% 136.49/87.17 tff(31215,plain,
% 136.49/87.17 (~v118(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18482, 2842, 31213])).
% 136.49/87.17 tff(31216,plain,
% 136.49/87.17 (~v172(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16711, 7708, 31211])).
% 136.49/87.17 tff(31217,plain,
% 136.49/87.17 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB98, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB98, bitIndex2)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31218,plain,
% 136.49/87.17 (((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB98, bitIndex2)) | v84(constB97, bitIndex2)) <=> ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB98, bitIndex2)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31219,plain,
% 136.49/87.17 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB98, bitIndex2)) | v84(constB97, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB98, bitIndex2))))),
% 136.49/87.17 inference(monotonicity,[status(thm)],[31218])).
% 136.49/87.17 tff(31220,plain,
% 136.49/87.17 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB98, bitIndex2)) | v84(constB97, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB98, bitIndex2)))),
% 136.49/87.17 inference(transitivity,[status(thm)],[31219, 31217])).
% 136.49/87.17 tff(31221,plain,
% 136.49/87.17 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | (~v84(constB98, bitIndex2)) | v84(constB97, bitIndex2))),
% 136.49/87.17 inference(quant_inst,[status(thm)],[])).
% 136.49/87.17 tff(31222,plain,
% 136.49/87.17 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB97, constB98)) | v94(constB98) | (~less_3(bitIndex2)) | v84(constB97, bitIndex2) | (~v84(constB98, bitIndex2))),
% 136.49/87.17 inference(modus_ponens,[status(thm)],[31221, 31220])).
% 136.49/87.17 tff(31223,plain,
% 136.49/87.17 (v94(constB98) | v84(constB97, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31222, 805, 767, 14884, 15045])).
% 136.49/87.17 tff(31224,plain,
% 136.49/87.17 (v84(constB97, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31223, 31203])).
% 136.49/87.17 tff(31225,plain,
% 136.49/87.17 (~v116(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18492, 1130, 31224])).
% 136.49/87.17 tff(31226,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19393, 31225, 31216, 17783, 31215, 31214, 31212, 31199])).
% 136.49/87.17 tff(31227,plain,(v124(constB97, bitIndex0) | (~v84(constB98, bitIndex2)) | (~v84(constB98, bitIndex1)) | (~v84(constB98, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31228,plain,
% 136.49/87.17 (v124(constB97, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31227, 31198, 31194, 31193])).
% 136.49/87.17 tff(31229,plain,
% 136.49/87.17 (~v172(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17801, 31228])).
% 136.49/87.17 tff(31230,plain,
% 136.49/87.17 (v84(constB94, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17273, 16154])).
% 136.49/87.17 tff(31231,plain,
% 136.49/87.17 (~v124(constB93, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18836, 16154])).
% 136.49/87.17 tff(31232,plain,
% 136.49/87.17 (~v121(constB93, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18899, 31231])).
% 136.49/87.17 tff(31233,plain,
% 136.49/87.17 (~v94(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16102, 31232, 31230])).
% 136.49/87.17 tff(31234,plain,
% 136.49/87.17 (v84(constB94, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16027, 31233])).
% 136.49/87.17 tff(31235,plain,
% 136.49/87.17 (~v104(constB94)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15908, 31233])).
% 136.49/87.17 tff(31236,plain,
% 136.49/87.17 (~v102(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15916, 31235])).
% 136.49/87.17 tff(31237,plain,
% 136.49/87.17 (v84(constB93, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17458, 15753])).
% 136.49/87.17 tff(31238,plain,
% 136.49/87.17 (v84(constB92, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16494, 31237])).
% 136.49/87.17 tff(31239,plain,
% 136.49/87.17 (v84(constB93, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17639, 15753])).
% 136.49/87.17 tff(31240,plain,
% 136.49/87.17 (v84(constB92, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17392, 31239])).
% 136.49/87.17 tff(31241,plain,
% 136.49/87.17 (v94(constB94) | v84(constB93, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15992, 805, 795, 15758, 16689])).
% 136.49/87.17 tff(31242,plain,
% 136.49/87.17 (v84(constB93, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31241, 15753])).
% 136.49/87.17 tff(31243,plain,
% 136.49/87.17 (v84(constB92, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16406, 31242])).
% 136.49/87.17 tff(31244,plain,
% 136.49/87.17 (v84(constB90, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17052, 17528])).
% 136.49/87.17 tff(31245,plain,
% 136.49/87.17 (v84(constB91, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16289, 16154])).
% 136.49/87.17 tff(31246,plain,
% 136.49/87.17 (v84(constB90, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[30891, 31245])).
% 136.49/87.17 tff(31247,plain,
% 136.49/87.17 (v84(constB90, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17012, 16602])).
% 136.49/87.17 tff(31248,plain,
% 136.49/87.17 (v123(constB90, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17020, 16983, 17015])).
% 136.49/87.17 tff(31249,plain,
% 136.49/87.17 (v121(constB89, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17028, 31248])).
% 136.49/87.17 tff(31250,plain,
% 136.49/87.17 (v124(constB89, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17039, 31249])).
% 136.49/87.17 tff(31251,plain,
% 136.49/87.17 (~v116(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17143, 2386, 2164, 795, 31250])).
% 136.49/87.17 tff(31252,plain,
% 136.49/87.17 ((~v94(constB90)) | v123(constB90, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17056, 1344, 767, 30641])).
% 136.49/87.17 tff(31253,plain,
% 136.49/87.17 (v123(constB90, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31252, 16983])).
% 136.49/87.17 tff(31254,plain,
% 136.49/87.17 (v121(constB89, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17064, 31253])).
% 136.49/87.17 tff(31255,plain,
% 136.49/87.17 (v124(constB89, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17071, 1380, 767, 16894, 31254])).
% 136.49/87.17 tff(31256,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB89)) | (~v124(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31257,plain,
% 136.49/87.17 (((~v115(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31258,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB89)) | (~v124(constB89, bitIndex2))))),
% 136.49/87.17 inference(monotonicity,[status(thm)],[31257])).
% 136.49/87.17 tff(31259,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.17 inference(transitivity,[status(thm)],[31258, 31256])).
% 136.49/87.17 tff(31260,plain,
% 136.49/87.17 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b011(bitIndex2))),
% 136.49/87.17 inference(quant_inst,[status(thm)],[])).
% 136.49/87.17 tff(31261,plain,
% 136.49/87.17 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB89)) | (~v124(constB89, bitIndex2))),
% 136.49/87.17 inference(modus_ponens,[status(thm)],[31260, 31259])).
% 136.49/87.17 tff(31262,plain,
% 136.49/87.17 (~v115(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31261, 2030, 2257, 767, 31255])).
% 136.49/87.17 tff(31263,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB89)) | (~v124(constB89, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31264,plain,
% 136.49/87.17 (((~v118(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.17 inference(rewrite,[status(thm)],[])).
% 136.49/87.17 tff(31265,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB89)) | (~v124(constB89, bitIndex2))))),
% 136.49/87.17 inference(monotonicity,[status(thm)],[31264])).
% 136.49/87.17 tff(31266,plain,
% 136.49/87.17 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB89)) | (~v124(constB89, bitIndex2)))),
% 136.49/87.17 inference(transitivity,[status(thm)],[31265, 31263])).
% 136.49/87.17 tff(31267,plain,
% 136.49/87.17 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB89)) | (~less_3(bitIndex2)) | (~v124(constB89, bitIndex2)) | b011(bitIndex2))),
% 136.49/87.17 inference(quant_inst,[status(thm)],[])).
% 136.49/87.17 tff(31268,plain,
% 136.49/87.17 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB89)) | (~v124(constB89, bitIndex2))),
% 136.49/87.17 inference(modus_ponens,[status(thm)],[31267, 31266])).
% 136.49/87.17 tff(31269,plain,
% 136.49/87.17 (~v118(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31268, 2030, 2027, 767, 31255])).
% 136.49/87.17 tff(31270,plain,
% 136.49/87.17 (~v172(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[30632, 1997, 1994, 795, 31250])).
% 136.49/87.17 tff(31271,plain,
% 136.49/87.17 (~v113(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17129, 31250])).
% 136.49/87.17 tff(31272,plain,
% 136.49/87.17 (~v145(constB89)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[30882, 31255])).
% 136.49/87.17 tff(31273,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[30857, 2601, 2424, 823, 31272, 31271, 31270, 31269, 31262, 31251, 30810])).
% 136.49/87.17 tff(31274,plain,((~v94(constB90)) | (~v84(constB90, bitIndex1)) | (~v84(constB90, bitIndex2)) | (~v84(constB90, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31275,plain,
% 136.49/87.17 (~v94(constB90)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31274, 31244, 31247, 31246])).
% 136.49/87.17 tff(31276,plain,
% 136.49/87.17 (v84(constB89, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29611, 805, 767, 16855, 31275, 31244])).
% 136.49/87.17 tff(31277,plain,
% 136.49/87.17 (v84(constB88, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29664, 31276])).
% 136.49/87.17 tff(31278,plain,
% 136.49/87.17 (v84(constB87, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29712, 31275])).
% 136.49/87.17 tff(31279,plain,
% 136.49/87.17 (v84(constB86, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29559, 31278])).
% 136.49/87.17 tff(31280,plain,
% 136.49/87.17 (~v84(constB86, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29548, 31279, 28667])).
% 136.49/87.17 tff(31281,plain,
% 136.49/87.17 (~v84(constB87, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29462, 31280])).
% 136.49/87.17 tff(31282,plain,
% 136.49/87.17 (v84(constB89, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29567, 805, 823, 16855, 31275, 31246])).
% 136.49/87.17 tff(31283,plain,
% 136.49/87.17 (v84(constB88, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29571, 31282])).
% 136.49/87.17 tff(31284,plain,
% 136.49/87.17 (v84(constB89, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29633, 805, 795, 16855, 31275, 31247])).
% 136.49/87.17 tff(31285,plain,
% 136.49/87.17 (v84(constB88, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29637, 31284])).
% 136.49/87.17 tff(31286,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[29434, 31285, 31283, 31281, 31277])).
% 136.49/87.17 tff(31287,plain,(v94(constB92) | v84(constB85, bitIndex2) | (~v84(constB92, bitIndex2)) | (~v84(constB92, bitIndex0)) | (~v84(constB92, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31288,plain,
% 136.49/87.17 (v94(constB92)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31287, 31238, 28667, 31243, 31240])).
% 136.49/87.17 tff(31289,plain,
% 136.49/87.17 (v123(constB92, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17384, 31288, 31238])).
% 136.49/87.17 tff(31290,plain,
% 136.49/87.17 (v121(constB91, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17370, 31289])).
% 136.49/87.17 tff(31291,plain,
% 136.49/87.17 (v124(constB91, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17362, 31290])).
% 136.49/87.17 tff(31292,plain,
% 136.49/87.17 (~v118(constB91)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17562, 2030, 2027, 767, 31291])).
% 136.49/87.17 tff(31293,plain,
% 136.49/87.17 (~v145(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16144, 31237])).
% 136.49/87.17 tff(31294,plain,
% 136.49/87.17 (~v115(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18822, 3011, 31242])).
% 136.49/87.17 tff(31295,plain,
% 136.49/87.17 (~v113(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17186, 1465, 31239])).
% 136.49/87.17 tff(31296,plain,
% 136.49/87.17 (~v116(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17203, 1130, 31237])).
% 136.49/87.17 tff(31297,plain,
% 136.49/87.17 (~v172(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17229, 2289, 31239])).
% 136.49/87.17 tff(31298,plain,
% 136.49/87.17 (~v118(constB93)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17220, 2842, 31239])).
% 136.49/87.17 tff(31299,plain,
% 136.49/87.17 (~v124(constB93, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18844, 31298, 31297, 31296, 31295, 31294, 31293])).
% 136.49/87.17 tff(31300,plain,
% 136.49/87.17 (~v121(constB93, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18899, 31299])).
% 136.49/87.17 tff(31301,plain,
% 136.49/87.17 (~v145(constB91)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17744, 31300])).
% 136.49/87.17 tff(31302,plain,
% 136.49/87.17 (v123(constB92, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16415, 31288, 31243])).
% 136.49/87.17 tff(31303,plain,
% 136.49/87.17 (v121(constB91, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16426, 31302])).
% 136.49/87.17 tff(31304,plain,
% 136.49/87.17 (v124(constB91, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16437, 31303])).
% 136.49/87.17 tff(31305,plain,
% 136.49/87.17 (~v116(constB91)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[16448, 31304])).
% 136.49/87.17 tff(31306,plain,
% 136.49/87.17 (~v172(constB91)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17452, 31304])).
% 136.49/87.17 tff(31307,plain,
% 136.49/87.17 (v123(constB92, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17343, 31288, 31240])).
% 136.49/87.17 tff(31308,plain,
% 136.49/87.17 (v121(constB91, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17337, 31307])).
% 136.49/87.17 tff(31309,plain,
% 136.49/87.17 (v124(constB91, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17328, 31308])).
% 136.49/87.17 tff(31310,plain,
% 136.49/87.17 (~v113(constB91)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17438, 2167, 2186, 823, 31309])).
% 136.49/87.17 tff(31311,plain,
% 136.49/87.17 (~v115(constB91)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17549, 2030, 2257, 767, 31291])).
% 136.49/87.17 tff(31312,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17353, 31311, 31310, 31306, 31305, 31291, 31301, 31292])).
% 136.49/87.17 tff(31313,plain,(v94(constB94) | v84(constB85, bitIndex2) | (~v84(constB94, bitIndex2)) | (~v84(constB94, bitIndex0)) | (~v84(constB94, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31314,plain,
% 136.49/87.17 (~v84(constB94, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31313, 31234, 28667, 31233, 31230])).
% 136.49/87.17 tff(31315,plain,
% 136.49/87.17 ($false),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17645, 31314, 31236, 31230, 31234])).
% 136.49/87.17 tff(31316,plain,(v94(constB92) | v84(constB85, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.17 tff(31317,plain,
% 136.49/87.17 (v94(constB92)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31316, 28667])).
% 136.49/87.17 tff(31318,plain,
% 136.49/87.17 (v84(constB98, bitIndex0)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19431, 13453])).
% 136.49/87.17 tff(31319,plain,
% 136.49/87.17 (v94(constB100) | v84(constB99, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[13269, 805, 823, 13154, 13485])).
% 136.49/87.17 tff(31320,plain,
% 136.49/87.17 (v84(constB99, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[31319, 13149])).
% 136.49/87.17 tff(31321,plain,
% 136.49/87.17 (v84(constB98, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18661, 31320])).
% 136.49/87.17 tff(31322,plain,
% 136.49/87.17 (v84(constB99, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[20850, 13149])).
% 136.49/87.17 tff(31323,plain,
% 136.49/87.17 (v84(constB98, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19066, 31322])).
% 136.49/87.17 tff(31324,plain,
% 136.49/87.17 (v84(constB96, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17803, 16734])).
% 136.49/87.17 tff(31325,plain,
% 136.49/87.17 (v94(constB96)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18762, 31324, 15300])).
% 136.49/87.17 tff(31326,plain,
% 136.49/87.17 (v115(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17777, 15644, 15300])).
% 136.49/87.17 tff(31327,plain,
% 136.49/87.17 (v124(constB97, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15570, 31326])).
% 136.49/87.17 tff(31328,plain,
% 136.49/87.17 (v121(constB97, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15273, 31327])).
% 136.49/87.17 tff(31329,plain,
% 136.49/87.17 (v123(constB98, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15262, 31328])).
% 136.49/87.17 tff(31330,plain,
% 136.49/87.17 (v145(constB95)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15741, 16737, 15644, 15300])).
% 136.49/87.17 tff(31331,plain,
% 136.49/87.17 (~v124(constB95, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17687, 31330])).
% 136.49/87.17 tff(31332,plain,
% 136.49/87.17 (~v121(constB95, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17698, 31331])).
% 136.49/87.17 tff(31333,plain,
% 136.49/87.17 (~v123(constB96, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[17706, 31332])).
% 136.49/87.17 tff(31334,plain,
% 136.49/87.17 (~v84(constB96, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18367, 31333, 15211])).
% 136.49/87.17 tff(31335,plain,
% 136.49/87.17 (~v84(constB97, bitIndex2)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[18358, 31334])).
% 136.49/87.17 tff(31336,plain,
% 136.49/87.17 (v107(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[14991, 31335])).
% 136.49/87.17 tff(31337,plain,
% 136.49/87.17 (v106(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15003, 31336])).
% 136.49/87.17 tff(31338,plain,
% 136.49/87.17 (v102(constB97)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15041, 619, 31337])).
% 136.49/87.17 tff(31339,plain,
% 136.49/87.17 (v104(constB98)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15037, 31338])).
% 136.49/87.17 tff(31340,plain,
% 136.49/87.17 (v94(constB98)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15029, 31339])).
% 136.49/87.17 tff(31341,plain,
% 136.49/87.17 (v84(constB98, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15254, 31340, 31329])).
% 136.49/87.17 tff(31342,plain,
% 136.49/87.17 (v84(constB99, bitIndex1)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15089, 31341])).
% 136.49/87.17 tff(31343,plain,
% 136.49/87.17 (~v172(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15136, 2289, 31342])).
% 136.49/87.17 tff(31344,plain,
% 136.49/87.17 (~v113(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15099, 1465, 31342])).
% 136.49/87.17 tff(31345,plain,
% 136.49/87.17 (~v145(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[19480, 816, 31342])).
% 136.49/87.17 tff(31346,plain,
% 136.49/87.17 (~v118(constB99)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[15127, 2842, 31342])).
% 136.49/87.17 tff(31347,plain,
% 136.49/87.17 (~v94(constB100)),
% 136.49/87.17 inference(unit_resolution,[status(thm)],[20848, 31346, 13295, 31345, 31344, 31343, 13485])).
% 136.49/87.18 tff(31348,plain,
% 136.49/87.18 (v84(constB99, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[20850, 31347])).
% 136.49/87.18 tff(31349,plain,
% 136.49/87.18 (v84(constB98, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19066, 31348])).
% 136.49/87.18 tff(31350,plain,
% 136.49/87.18 (v123(constB98, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15586, 1344, 767, 31340, 31349])).
% 136.49/87.18 tff(31351,plain,
% 136.49/87.18 (v121(constB97, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15591, 1362, 767, 14884, 31350])).
% 136.49/87.18 tff(31352,plain,
% 136.49/87.18 (v124(constB97, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15598, 1380, 767, 14996, 31351])).
% 136.49/87.18 tff(31353,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19082, 2030, 2257, 767, 31326, 31352])).
% 136.49/87.18 tff(31354,plain,(v84(constB95, bitIndex2) | (~v84(constB100, bitIndex2)) | (~v84(constB100, bitIndex1)) | (~v94(constB96)) | v84(constB95, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31355,plain,
% 136.49/87.18 (v84(constB95, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31354, 31325, 13295, 13485, 15300])).
% 136.49/87.18 tff(31356,plain,
% 136.49/87.18 (v84(constB94, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15715, 31355])).
% 136.49/87.18 tff(31357,plain,
% 136.49/87.18 (~v119(constB91)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17503, 31356, 16734])).
% 136.49/87.18 tff(31358,plain,
% 136.49/87.18 (v124(constB95, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[16699, 31357, 15300])).
% 136.49/87.18 tff(31359,plain,
% 136.49/87.18 (~v116(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18380, 31358])).
% 136.49/87.18 tff(31360,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB95)) | (~v124(constB95, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB95)) | (~v124(constB95, bitIndex1)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31361,plain,
% 136.49/87.18 (((~v113(constB95)) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB95)) | (~v124(constB95, bitIndex1)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31362,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB95)) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB95)) | (~v124(constB95, bitIndex1))))),
% 136.49/87.18 inference(monotonicity,[status(thm)],[31361])).
% 136.49/87.18 tff(31363,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB95)) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB95)) | (~v124(constB95, bitIndex1)))),
% 136.49/87.18 inference(transitivity,[status(thm)],[31362, 31360])).
% 136.49/87.18 tff(31364,plain,
% 136.49/87.18 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB95)) | (~less_3(bitIndex1)) | (~v124(constB95, bitIndex1)) | b100(bitIndex1))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31365,plain,
% 136.49/87.18 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB95)) | (~v124(constB95, bitIndex1))),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31364, 31363])).
% 136.49/87.18 tff(31366,plain,
% 136.49/87.18 (~v113(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31365, 2167, 2186, 823, 31358])).
% 136.49/87.18 tff(31367,plain,
% 136.49/87.18 (v84(constB97, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31223, 14879])).
% 136.49/87.18 tff(31368,plain,
% 136.49/87.18 (v84(constB96, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18358, 31367])).
% 136.49/87.18 tff(31369,plain,
% 136.49/87.18 (v123(constB96, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18367, 31368, 15211])).
% 136.49/87.18 tff(31370,plain,
% 136.49/87.18 (v121(constB95, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17706, 31369])).
% 136.49/87.18 tff(31371,plain,
% 136.49/87.18 (v124(constB95, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17698, 31370])).
% 136.49/87.18 tff(31372,plain,
% 136.49/87.18 (~v115(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18938, 31371])).
% 136.49/87.18 tff(31373,plain,
% 136.49/87.18 (v84(constB97, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31210, 14879])).
% 136.49/87.18 tff(31374,plain,
% 136.49/87.18 (v84(constB96, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15292, 31373])).
% 136.49/87.18 tff(31375,plain,
% 136.49/87.18 (v123(constB96, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17763, 31374, 15211])).
% 136.49/87.18 tff(31376,plain,
% 136.49/87.18 (v121(constB95, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[16732, 31375])).
% 136.49/87.18 tff(31377,plain,
% 136.49/87.18 (v124(constB95, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17758, 31376])).
% 136.49/87.18 tff(31378,plain,
% 136.49/87.18 (~v172(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18065, 1997, 1994, 795, 31377])).
% 136.49/87.18 tff(31379,plain,
% 136.49/87.18 (~v145(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17687, 31371])).
% 136.49/87.18 tff(31380,plain,
% 136.49/87.18 (v118(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18169, 2427, 2424, 767, 31379, 31378, 18163, 17875, 31371, 31372])).
% 136.49/87.18 tff(31381,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB95)) | (~v124(constB95, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB95)) | (~v124(constB95, bitIndex2)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31382,plain,
% 136.49/87.18 (((~v118(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB95)) | (~v124(constB95, bitIndex2)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31383,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB95)) | (~v124(constB95, bitIndex2))))),
% 136.49/87.18 inference(monotonicity,[status(thm)],[31382])).
% 136.49/87.18 tff(31384,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB95)) | (~v124(constB95, bitIndex2)))),
% 136.49/87.18 inference(transitivity,[status(thm)],[31383, 31381])).
% 136.49/87.18 tff(31385,plain,
% 136.49/87.18 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB95)) | (~less_3(bitIndex2)) | (~v124(constB95, bitIndex2)) | b011(bitIndex2))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31386,plain,
% 136.49/87.18 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB95)) | (~v124(constB95, bitIndex2))),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31385, 31384])).
% 136.49/87.18 tff(31387,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31386, 2030, 2027, 767, 31380, 31371])).
% 136.49/87.18 tff(31388,plain,(v94(constB98) | v116(constB95) | v113(constB95) | (~v94(constB96)) | (~v84(constB98, bitIndex0)) | (~v84(constB98, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31389,plain,
% 136.49/87.18 (v94(constB98)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31388, 31366, 15156, 31325, 31359, 15045])).
% 136.49/87.18 tff(31390,plain,
% 136.49/87.18 ((~v94(constB98)) | v123(constB98, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18990, 1344, 823, 15084])).
% 136.49/87.18 tff(31391,plain,
% 136.49/87.18 (v123(constB98, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31390, 31389])).
% 136.49/87.18 tff(31392,plain,
% 136.49/87.18 (v121(constB97, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18994, 1362, 823, 14884, 31391])).
% 136.49/87.18 tff(31393,plain,
% 136.49/87.18 (v124(constB97, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19001, 1380, 823, 14996, 31392])).
% 136.49/87.18 tff(31394,plain,
% 136.49/87.18 (~v118(constB97)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18947, 31325])).
% 136.49/87.18 tff(31395,plain,
% 136.49/87.18 (v123(constB98, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19069, 31389, 15045])).
% 136.49/87.18 tff(31396,plain,
% 136.49/87.18 (v121(constB97, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19072, 31395])).
% 136.49/87.18 tff(31397,plain,
% 136.49/87.18 (v124(constB97, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19075, 31396])).
% 136.49/87.18 tff(31398,plain,
% 136.49/87.18 (~v115(constB97)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19084, 31397])).
% 136.49/87.18 tff(31399,plain,
% 136.49/87.18 (v84(constB97, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15199, 31324])).
% 136.49/87.18 tff(31400,plain,
% 136.49/87.18 (~v145(constB97)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[14851, 31399])).
% 136.49/87.18 tff(31401,plain,
% 136.49/87.18 (v124(constB97, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31227, 15156, 15045, 15084])).
% 136.49/87.18 tff(31402,plain,
% 136.49/87.18 (~v172(constB97)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17801, 31401])).
% 136.49/87.18 tff(31403,plain,
% 136.49/87.18 (v116(constB97)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19102, 31397, 31402, 31400, 31398, 31394])).
% 136.49/87.18 tff(31404,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19109, 2167, 2164, 823, 31403, 31393])).
% 136.49/87.18 tff(31405,plain,(v84(constB95, bitIndex1) | (~v84(constB98, bitIndex1)) | (~v84(constB98, bitIndex2)) | (~v84(constB98, bitIndex0)) | (~v84(constB100, bitIndex2)) | (~v84(constB100, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31406,plain,
% 136.49/87.18 (v84(constB95, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31405, 31323, 31321, 31318, 13295, 13485])).
% 136.49/87.18 tff(31407,plain,
% 136.49/87.18 (~v118(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17824, 31406])).
% 136.49/87.18 tff(31408,plain,
% 136.49/87.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v145(constB95)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v145(constB95)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31409,plain,
% 136.49/87.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB95, bitIndex1)) | (~v145(constB95)))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31410,plain,
% 136.49/87.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB95, bitIndex1)) | (~v145(constB95))),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31409, 31408])).
% 136.49/87.18 tff(31411,plain,
% 136.49/87.18 (~v145(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31410, 816, 31406])).
% 136.49/87.18 tff(31412,plain,
% 136.49/87.18 (~v172(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18281, 31406])).
% 136.49/87.18 tff(31413,plain,
% 136.49/87.18 (~v113(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17811, 31406])).
% 136.49/87.18 tff(31414,plain,
% 136.49/87.18 (v84(constB94, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17668, 31406])).
% 136.49/87.18 tff(31415,plain,
% 136.49/87.18 (v121(constB93, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[16102, 31414, 15770])).
% 136.49/87.18 tff(31416,plain,
% 136.49/87.18 (v124(constB93, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18899, 31415])).
% 136.49/87.18 tff(31417,plain,
% 136.49/87.18 (v94(constB96)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18896, 31416, 15770, 16410])).
% 136.49/87.18 tff(31418,plain,
% 136.49/87.18 (v123(constB96, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15539, 15298, 15287])).
% 136.49/87.18 tff(31419,plain,
% 136.49/87.18 (v121(constB95, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18363, 31418])).
% 136.49/87.18 tff(31420,plain,
% 136.49/87.18 (v124(constB95, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18341, 1380, 823, 15453, 31419])).
% 136.49/87.18 tff(31421,plain,
% 136.49/87.18 (~v113(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31365, 2167, 2186, 823, 31420])).
% 136.49/87.18 tff(31422,plain,
% 136.49/87.18 (~v121(constB95, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18305, 15445])).
% 136.49/87.18 tff(31423,plain,
% 136.49/87.18 (~v124(constB95, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15459, 1728, 767, 15453, 31422])).
% 136.49/87.18 tff(31424,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~v172(constB95)) | (~b110(bitIndex2)) | v124(constB95, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB95)) | (~b110(bitIndex2)) | v124(constB95, bitIndex2))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31425,plain,
% 136.49/87.18 (((~v172(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v172(constB95)) | (~b110(bitIndex2)) | v124(constB95, bitIndex2))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31426,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~v172(constB95)) | (~b110(bitIndex2)) | v124(constB95, bitIndex2)))),
% 136.49/87.18 inference(monotonicity,[status(thm)],[31425])).
% 136.49/87.18 tff(31427,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB95)) | (~b110(bitIndex2)) | v124(constB95, bitIndex2))),
% 136.49/87.18 inference(transitivity,[status(thm)],[31426, 31424])).
% 136.49/87.18 tff(31428,plain,
% 136.49/87.18 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB95)) | (~less_3(bitIndex2)) | v124(constB95, bitIndex2) | (~b110(bitIndex2)))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31429,plain,
% 136.49/87.18 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB95)) | (~b110(bitIndex2)) | v124(constB95, bitIndex2)),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31428, 31427])).
% 136.49/87.18 tff(31430,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31429, 2066, 1798, 767, 15720, 17690])).
% 136.49/87.18 tff(31431,plain,(v124(constB95, bitIndex2) | (~v172(constB95))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31432,plain,
% 136.49/87.18 (~v172(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31431, 31423])).
% 136.49/87.18 tff(31433,plain,
% 136.49/87.18 (~v116(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18378, 2167, 2164, 823, 31420])).
% 136.49/87.18 tff(31434,plain,
% 136.49/87.18 (v118(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18324, 18315, 15664, 31433, 31432, 31421])).
% 136.49/87.18 tff(31435,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31436,plain,
% 136.49/87.18 (((~v118(constB95)) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31437,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB95)) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0)))),
% 136.49/87.18 inference(monotonicity,[status(thm)],[31436])).
% 136.49/87.18 tff(31438,plain,
% 136.49/87.18 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB95)) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0))),
% 136.49/87.18 inference(transitivity,[status(thm)],[31437, 31435])).
% 136.49/87.18 tff(31439,plain,
% 136.49/87.18 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB95)) | (~less_3(bitIndex0)) | v124(constB95, bitIndex0) | (~b011(bitIndex0)))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31440,plain,
% 136.49/87.18 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB95)) | (~b011(bitIndex0)) | v124(constB95, bitIndex0)),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31439, 31438])).
% 136.49/87.18 tff(31441,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31440, 1148, 1145, 795, 18315, 31434])).
% 136.49/87.18 tff(31442,plain,(v84(constB96, bitIndex2) | v145(constB95) | v84(constB96, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31443,plain,
% 136.49/87.18 (v84(constB96, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31442, 15298, 15664])).
% 136.49/87.18 tff(31444,plain,
% 136.49/87.18 (~v84(constB97, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[14985, 19091, 14968, 14966])).
% 136.49/87.18 tff(31445,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15552, 31444, 31443])).
% 136.49/87.18 tff(31446,plain,(v84(constB96, bitIndex2) | v145(constB97) | v116(constB97) | v145(constB95)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31447,plain,
% 136.49/87.18 (v84(constB96, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31446, 14968, 14966, 15664])).
% 136.49/87.18 tff(31448,plain,
% 136.49/87.18 (v84(constB97, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19098, 14968, 15286, 14966, 20566])).
% 136.49/87.18 tff(31449,plain,
% 136.49/87.18 (v84(constB96, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[16717, 31448])).
% 136.49/87.18 tff(31450,plain,
% 136.49/87.18 (v115(constB95)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18383, 31449, 15726, 15725, 15211, 15664, 17875, 31447])).
% 136.49/87.18 tff(31451,plain,
% 136.49/87.18 (v123(constB96, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18367, 31447, 15211])).
% 136.49/87.18 tff(31452,plain,
% 136.49/87.18 (v121(constB95, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17706, 31451])).
% 136.49/87.18 tff(31453,plain,
% 136.49/87.18 (v124(constB95, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17698, 31452])).
% 136.49/87.18 tff(31454,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18938, 31453, 31450])).
% 136.49/87.18 tff(31455,plain,(v145(constB97) | v172(constB95) | v118(constB95) | (~v94(constB96)) | v145(constB95) | v113(constB95) | v172(constB97) | v116(constB97)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31456,plain,
% 136.49/87.18 (v116(constB97)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31455, 31417, 14968, 15286, 31413, 31412, 31411, 31407])).
% 136.49/87.18 tff(31457,plain,
% 136.49/87.18 (~v84(constB97, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18492, 1130, 31456])).
% 136.49/87.18 tff(31458,plain,
% 136.49/87.18 (v94(constB98) | v84(constB97, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31222, 805, 767, 14884, 31323])).
% 136.49/87.18 tff(31459,plain,
% 136.49/87.18 (v94(constB98)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31458, 31457])).
% 136.49/87.18 tff(31460,plain,
% 136.49/87.18 ((~v94(constB98)) | v123(constB98, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18990, 1344, 823, 31321])).
% 136.49/87.18 tff(31461,plain,
% 136.49/87.18 (v123(constB98, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31460, 31459])).
% 136.49/87.18 tff(31462,plain,
% 136.49/87.18 (v121(constB97, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[18994, 1362, 823, 14884, 31461])).
% 136.49/87.18 tff(31463,plain,
% 136.49/87.18 (v124(constB97, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19001, 1380, 823, 14996, 31462])).
% 136.49/87.18 tff(31464,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[19109, 2167, 2164, 823, 31456, 31463])).
% 136.49/87.18 tff(31465,plain,(v94(constB100) | v145(constB97) | v172(constB97) | (~v94(constB94)) | (~v94(constB92)) | (~v84(constB100, bitIndex2)) | (~v84(constB100, bitIndex1)) | (~v84(constB100, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31466,plain,
% 136.49/87.18 (~v94(constB94)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31465, 31317, 13293, 13149, 31229, 14968, 13483, 13383])).
% 136.49/87.18 tff(31467,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31313, 17659, 15753, 28667, 16689, 15619])).
% 136.49/87.18 tff(31468,plain,(v94(constB94) | v84(constB85, bitIndex2) | (~v84(constB94, bitIndex0)) | (~v84(constB94, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31469,plain,
% 136.49/87.18 (~v84(constB94, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31468, 17511, 28667, 17635])).
% 136.49/87.18 tff(31470,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[17645, 31469, 17636, 17635, 17509])).
% 136.49/87.18 tff(31471,plain,(v102(constB93) | v84(constB85, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31472,plain,
% 136.49/87.18 (v102(constB93)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31471, 28667])).
% 136.49/87.18 tff(31473,plain,
% 136.49/87.18 (v104(constB94)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15916, 31472])).
% 136.49/87.18 tff(31474,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[15908, 31473, 31466])).
% 136.49/87.18 tff(31475,plain,(v84(constB85, bitIndex2) | v94(constB100) | v145(constB97)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31476,plain,
% 136.49/87.18 (v84(constB85, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31475, 13149, 14968])).
% 136.49/87.18 tff(31477,plain,
% 136.49/87.18 (v84(constB84, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[28953, 31476])).
% 136.49/87.18 tff(31478,plain,
% 136.49/87.18 (~v107(constB105)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[14433, 13149])).
% 136.49/87.18 tff(31479,plain,
% 136.49/87.18 (~v106(constB105)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[10240, 3161, 31478])).
% 136.49/87.18 tff(31480,plain,
% 136.49/87.18 (~v102(constB105)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11107, 31479])).
% 136.49/87.18 tff(31481,plain,
% 136.49/87.18 (~v104(constB106)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[10228, 31480])).
% 136.49/87.18 tff(31482,plain,
% 136.49/87.18 (~v94(constB106)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[10220, 31481])).
% 136.49/87.18 tff(31483,plain,
% 136.49/87.18 (~v107(constB107)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11370, 31482])).
% 136.49/87.18 tff(31484,plain,
% 136.49/87.18 (~v106(constB107)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[8895, 3161, 31483])).
% 136.49/87.18 tff(31485,plain,
% 136.49/87.18 (~v102(constB107)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[8891, 31484])).
% 136.49/87.18 tff(31486,plain,
% 136.49/87.18 (~v104(constB108)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[8883, 31485])).
% 136.49/87.18 tff(31487,plain,
% 136.49/87.18 (~v94(constB108)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[8875, 31486])).
% 136.49/87.18 tff(31488,plain,
% 136.49/87.18 (v84(constB116, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7816, 6560])).
% 136.49/87.18 tff(31489,plain,
% 136.49/87.18 (v84(constB117, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6557, 31488])).
% 136.49/87.18 tff(31490,plain,
% 136.49/87.18 (v94(constB118)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5803, 31489])).
% 136.49/87.18 tff(31491,plain,
% 136.49/87.18 (~v123(constB118, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5824, 31490])).
% 136.49/87.18 tff(31492,plain,
% 136.49/87.18 (~v121(constB117, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5828, 1708, 795, 5455, 31491])).
% 136.49/87.18 tff(31493,plain,
% 136.49/87.18 (~v124(constB117, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5836, 1728, 795, 5440, 31492])).
% 136.49/87.18 tff(31494,plain,
% 136.49/87.18 (~v115(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5843, 1148, 1193, 795, 31493])).
% 136.49/87.18 tff(31495,plain,
% 136.49/87.18 (~v107(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7074, 7026, 6994, 6947, 7002, 6970])).
% 136.49/87.18 tff(31496,plain,
% 136.49/87.18 (~v106(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7078, 3161, 31495])).
% 136.49/87.18 tff(31497,plain,
% 136.49/87.18 (~v102(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7090, 31496])).
% 136.49/87.18 tff(31498,plain,
% 136.49/87.18 (~v104(constB112)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7101, 31497])).
% 136.49/87.18 tff(31499,plain,
% 136.49/87.18 (~v94(constB112)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7106, 31498])).
% 136.49/87.18 tff(31500,plain,
% 136.49/87.18 (v84(constB112, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7317, 31499])).
% 136.49/87.18 tff(31501,plain,
% 136.49/87.18 (v84(constB113, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7328, 31500])).
% 136.49/87.18 tff(31502,plain,
% 136.49/87.18 (~v107(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7416, 31499])).
% 136.49/87.18 tff(31503,plain,
% 136.49/87.18 (~v106(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7545, 3161, 31502])).
% 136.49/87.18 tff(31504,plain,
% 136.49/87.18 (~v102(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7541, 31503])).
% 136.49/87.18 tff(31505,plain,
% 136.49/87.18 (~v104(constB114)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7533, 31504])).
% 136.49/87.18 tff(31506,plain,
% 136.49/87.18 (~v94(constB114)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7525, 31505])).
% 136.49/87.18 tff(31507,plain,
% 136.49/87.18 (v84(constB114, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7583, 31506, 31501])).
% 136.49/87.18 tff(31508,plain,
% 136.49/87.18 (v84(constB115, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7687, 31507])).
% 136.49/87.18 tff(31509,plain,
% 136.49/87.18 (v84(constB114, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7567, 7026, 6947, 6994])).
% 136.49/87.18 tff(31510,plain,
% 136.49/87.18 (v84(constB114, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7628, 31507, 31509, 31502])).
% 136.49/87.18 tff(31511,plain,
% 136.49/87.18 (v84(constB115, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7654, 31510])).
% 136.49/87.18 tff(31512,plain,
% 136.49/87.18 (~v119(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7665, 31511])).
% 136.49/87.18 tff(31513,plain,
% 136.49/87.18 (v84(constB115, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7672, 31509])).
% 136.49/87.18 tff(31514,plain,
% 136.49/87.18 (~v118(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7680, 31513])).
% 136.49/87.18 tff(31515,plain,
% 136.49/87.18 (~v116(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7695, 31508])).
% 136.49/87.18 tff(31516,plain,
% 136.49/87.18 (~v113(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11892, 31508])).
% 136.49/87.18 tff(31517,plain,
% 136.49/87.18 (~v109(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7754, 31511, 31513, 31516, 31515])).
% 136.49/87.18 tff(31518,plain,
% 136.49/87.18 (~v108(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7763, 31517, 31514])).
% 136.49/87.18 tff(31519,plain,
% 136.49/87.18 (~v107(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7772, 31518, 31512])).
% 136.49/87.18 tff(31520,plain,
% 136.49/87.18 (~v106(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7814, 3161, 31519])).
% 136.49/87.18 tff(31521,plain,
% 136.49/87.18 (~v102(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7810, 31520])).
% 136.49/87.18 tff(31522,plain,
% 136.49/87.18 (~v104(constB116)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7798, 31521])).
% 136.49/87.18 tff(31523,plain,
% 136.49/87.18 (~v94(constB116)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7790, 31522])).
% 136.49/87.18 tff(31524,plain,
% 136.49/87.18 (v84(constB116, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12332, 31523, 31508])).
% 136.49/87.18 tff(31525,plain,
% 136.49/87.18 (v84(constB117, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6546, 31524])).
% 136.49/87.18 tff(31526,plain,
% 136.49/87.18 (~v116(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12187, 1130, 31525])).
% 136.49/87.18 tff(31527,plain,
% 136.49/87.18 (~v118(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5883, 1148, 1145, 795, 31493])).
% 136.49/87.18 tff(31528,plain,
% 136.49/87.18 (v84(constB112, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7459, 7026, 6947, 6994])).
% 136.49/87.18 tff(31529,plain,
% 136.49/87.18 (v84(constB113, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7313, 31528])).
% 136.49/87.18 tff(31530,plain,
% 136.49/87.18 (~v172(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7362, 2289, 31529])).
% 136.49/87.18 tff(31531,plain,
% 136.49/87.18 (~v118(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7353, 2842, 31529])).
% 136.49/87.18 tff(31532,plain,
% 136.49/87.18 (~v145(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7339, 31501])).
% 136.49/87.18 tff(31533,plain,
% 136.49/87.18 (~v113(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7378, 1465, 31529])).
% 136.49/87.18 tff(31534,plain,
% 136.49/87.18 (~v145(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[20434, 31533, 31532, 31531, 31530])).
% 136.49/87.18 tff(31535,plain,
% 136.49/87.18 (~v172(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12914, 7708, 31489])).
% 136.49/87.18 tff(31536,plain,
% 136.49/87.18 (~v113(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6550, 2764, 31489])).
% 136.49/87.18 tff(31537,plain,
% 136.49/87.18 (v145(constB117) | v113(constB117) | v118(constB117) | v172(constB117) | v116(constB117) | v115(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5897, 1213, 1210, 795, 31493])).
% 136.49/87.18 tff(31538,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31537, 31536, 31535, 31534, 31527, 31526, 31494])).
% 136.49/87.18 tff(31539,plain,(v94(constB108) | v84(constB118, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31540,plain,
% 136.49/87.18 (v84(constB118, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31539, 6560])).
% 136.49/87.18 tff(31541,plain,
% 136.49/87.18 (v84(constB119, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6175, 31540])).
% 136.49/87.18 tff(31542,plain,
% 136.49/87.18 (~v107(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7074, 7026, 6947, 6994, 7002, 6970])).
% 136.49/87.18 tff(31543,plain,
% 136.49/87.18 (~v106(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7078, 3161, 31542])).
% 136.49/87.18 tff(31544,plain,
% 136.49/87.18 (~v102(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7090, 31543])).
% 136.49/87.18 tff(31545,plain,
% 136.49/87.18 (~v104(constB112)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7101, 31544])).
% 136.49/87.18 tff(31546,plain,
% 136.49/87.18 (~v94(constB112)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7106, 31545])).
% 136.49/87.18 tff(31547,plain,
% 136.49/87.18 (~v107(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7416, 31546])).
% 136.49/87.18 tff(31548,plain,
% 136.49/87.18 (~v106(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7545, 3161, 31547])).
% 136.49/87.18 tff(31549,plain,
% 136.49/87.18 (~v102(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7541, 31548])).
% 136.49/87.18 tff(31550,plain,
% 136.49/87.18 (~v104(constB114)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7533, 31549])).
% 136.49/87.18 tff(31551,plain,
% 136.49/87.18 (~v94(constB114)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7525, 31550])).
% 136.49/87.18 tff(31552,plain,
% 136.49/87.18 (~v94(constB112)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12475, 7464])).
% 136.49/87.18 tff(31553,plain,
% 136.49/87.18 (v84(constB112, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7317, 31552])).
% 136.49/87.18 tff(31554,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7328, 31553, 8299])).
% 136.49/87.18 tff(31555,plain,(v94(constB114) | v84(constB114, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31556,plain,
% 136.49/87.18 (v84(constB114, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31555, 31551])).
% 136.49/87.18 tff(31557,plain,
% 136.49/87.18 (v84(constB115, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7687, 31556])).
% 136.49/87.18 tff(31558,plain,
% 136.49/87.18 (v84(constB114, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7628, 31556, 31547, 31509])).
% 136.49/87.18 tff(31559,plain,
% 136.49/87.18 (v84(constB115, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7654, 31558])).
% 136.49/87.18 tff(31560,plain,
% 136.49/87.18 (~v119(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7665, 31559])).
% 136.49/87.18 tff(31561,plain,
% 136.49/87.18 (~v116(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7695, 31557])).
% 136.49/87.18 tff(31562,plain,
% 136.49/87.18 (~v109(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[20093, 31559, 31513, 31561])).
% 136.49/87.18 tff(31563,plain,
% 136.49/87.18 (~v108(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7763, 31562, 31514])).
% 136.49/87.18 tff(31564,plain,
% 136.49/87.18 (~v107(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7772, 31563, 31560])).
% 136.49/87.18 tff(31565,plain,
% 136.49/87.18 (~v106(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7814, 3161, 31564])).
% 136.49/87.18 tff(31566,plain,
% 136.49/87.18 (~v102(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7810, 31565])).
% 136.49/87.18 tff(31567,plain,
% 136.49/87.18 (~v104(constB116)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7798, 31566])).
% 136.49/87.18 tff(31568,plain,
% 136.49/87.18 (~v94(constB116)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7790, 31567])).
% 136.49/87.18 tff(31569,plain,
% 136.49/87.18 (v84(constB116, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12332, 31568, 31557])).
% 136.49/87.18 tff(31570,plain,
% 136.49/87.18 (v84(constB117, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6546, 31569])).
% 136.49/87.18 tff(31571,plain,
% 136.49/87.18 (~v115(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12183, 2665, 31570])).
% 136.49/87.18 tff(31572,plain,
% 136.49/87.18 (v84(constB112, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7317, 31546])).
% 136.49/87.18 tff(31573,plain,
% 136.49/87.18 (v84(constB113, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7328, 31572])).
% 136.49/87.18 tff(31574,plain,
% 136.49/87.18 (v84(constB114, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7583, 31551, 31573])).
% 136.49/87.18 tff(31575,plain,
% 136.49/87.18 (v84(constB115, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7687, 31574])).
% 136.49/87.18 tff(31576,plain,
% 136.49/87.18 (v84(constB114, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7628, 31574, 7568, 31547])).
% 136.49/87.18 tff(31577,plain,
% 136.49/87.18 (v84(constB115, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7654, 31576])).
% 136.49/87.18 tff(31578,plain,
% 136.49/87.18 (~v119(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7665, 31577])).
% 136.49/87.18 tff(31579,plain,
% 136.49/87.18 (~v116(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7695, 31575])).
% 136.49/87.18 tff(31580,plain,
% 136.49/87.18 (~v113(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11892, 31575])).
% 136.49/87.18 tff(31581,plain,
% 136.49/87.18 (~v109(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7754, 31577, 7673, 31580, 31579])).
% 136.49/87.18 tff(31582,plain,
% 136.49/87.18 (~v108(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7763, 31581, 7681])).
% 136.49/87.18 tff(31583,plain,
% 136.49/87.18 (~v107(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7772, 31582, 31578])).
% 136.49/87.18 tff(31584,plain,
% 136.49/87.18 (~v106(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7814, 3161, 31583])).
% 136.49/87.18 tff(31585,plain,
% 136.49/87.18 (~v102(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7810, 31584])).
% 136.49/87.18 tff(31586,plain,
% 136.49/87.18 (~v104(constB116)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7798, 31585])).
% 136.49/87.18 tff(31587,plain,
% 136.49/87.18 (~v94(constB116)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7790, 31586])).
% 136.49/87.18 tff(31588,plain,
% 136.49/87.18 (v84(constB116, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12332, 31587, 31575])).
% 136.49/87.18 tff(31589,plain,
% 136.49/87.18 (v84(constB117, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6546, 31588])).
% 136.49/87.18 tff(31590,plain,
% 136.49/87.18 (~v113(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6523, 1119, 31589])).
% 136.49/87.18 tff(31591,plain,
% 136.49/87.18 (~v145(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7339, 31573])).
% 136.49/87.18 tff(31592,plain,
% 136.49/87.18 (~v145(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[20434, 31530, 31591, 31531, 31533])).
% 136.49/87.18 tff(31593,plain,
% 136.49/87.18 (v113(constB117) | (~v112(constB117))),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12899, 2894, 31592])).
% 136.49/87.18 tff(31594,plain,
% 136.49/87.18 (~v112(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31593, 31590])).
% 136.49/87.18 tff(31595,plain,
% 136.49/87.18 (~v111(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12904, 2911, 6143, 31594])).
% 136.49/87.18 tff(31596,plain,
% 136.49/87.18 (v123(constB118, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5526, 31540, 5521])).
% 136.49/87.18 tff(31597,plain,
% 136.49/87.18 (v121(constB117, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5517, 31596])).
% 136.49/87.18 tff(31598,plain,
% 136.49/87.18 (v124(constB117, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5509, 31597])).
% 136.49/87.18 tff(31599,plain,
% 136.49/87.18 (~v116(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6116, 31598])).
% 136.49/87.18 tff(31600,plain,
% 136.49/87.18 (v111(constB117) | (~v110(constB117))),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12909, 2932, 31599])).
% 136.49/87.18 tff(31601,plain,
% 136.49/87.18 (~v110(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31600, 31595])).
% 136.49/87.18 tff(31602,plain,
% 136.49/87.18 (~v172(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6133, 31598])).
% 136.49/87.18 tff(31603,plain,
% 136.49/87.18 (~v119(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12882, 3173, 31489])).
% 136.49/87.18 tff(31604,plain,
% 136.49/87.18 (v104(constB118)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12952, 5521])).
% 136.49/87.18 tff(31605,plain,
% 136.49/87.18 (v102(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12947, 31604])).
% 136.49/87.18 tff(31606,plain,
% 136.49/87.18 (v106(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12939, 31605])).
% 136.49/87.18 tff(31607,plain,
% 136.49/87.18 (v107(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12931, 3161, 31606])).
% 136.49/87.18 tff(31608,plain,
% 136.49/87.18 (v108(constB117) | v119(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12887, 3195, 31607])).
% 136.49/87.18 tff(31609,plain,
% 136.49/87.18 (v108(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31608, 31603])).
% 136.49/87.18 tff(31610,plain,
% 136.49/87.18 (~v104(constB110)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6918, 6911])).
% 136.49/87.18 tff(31611,plain,
% 136.49/87.18 (~v94(constB110)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6765, 31610])).
% 136.49/87.18 tff(31612,plain,
% 136.49/87.18 (v84(constB110, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7011, 31611, 6784])).
% 136.49/87.18 tff(31613,plain,
% 136.49/87.18 (v84(constB111, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7025, 31612])).
% 136.49/87.18 tff(31614,plain,
% 136.49/87.18 (~v107(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7074, 31613, 6994, 7002, 6970, 6947])).
% 136.49/87.18 tff(31615,plain,
% 136.49/87.18 (~v106(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7078, 3161, 31614])).
% 136.49/87.18 tff(31616,plain,
% 136.49/87.18 (~v102(constB111)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7090, 31615])).
% 136.49/87.18 tff(31617,plain,
% 136.49/87.18 (~v104(constB112)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7101, 31616])).
% 136.49/87.18 tff(31618,plain,
% 136.49/87.18 (~v94(constB112)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7106, 31617])).
% 136.49/87.18 tff(31619,plain,
% 136.49/87.18 (v84(constB112, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7317, 31618])).
% 136.49/87.18 tff(31620,plain,
% 136.49/87.18 (v84(constB113, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7328, 31619])).
% 136.49/87.18 tff(31621,plain,
% 136.49/87.18 (v84(constB112, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7459, 31613, 6947, 6994])).
% 136.49/87.18 tff(31622,plain,
% 136.49/87.18 (v84(constB113, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7313, 31621])).
% 136.49/87.18 tff(31623,plain,
% 136.49/87.18 (v84(constB112, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7235, 31618])).
% 136.49/87.18 tff(31624,plain,
% 136.49/87.18 (v84(constB113, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7414, 31623])).
% 136.49/87.18 tff(31625,plain,
% 136.49/87.18 (~v145(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7339, 31620])).
% 136.49/87.18 tff(31626,plain,
% 136.49/87.18 (~v107(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7401, 31620, 31625, 31624, 31622])).
% 136.49/87.18 tff(31627,plain,
% 136.49/87.18 (~v106(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7545, 3161, 31626])).
% 136.49/87.18 tff(31628,plain,
% 136.49/87.18 (~v102(constB113)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7541, 31627])).
% 136.49/87.18 tff(31629,plain,
% 136.49/87.18 (~v104(constB114)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7533, 31628])).
% 136.49/87.18 tff(31630,plain,
% 136.49/87.18 (~v94(constB114)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7525, 31629])).
% 136.49/87.18 tff(31631,plain,
% 136.49/87.18 (v84(constB114, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7583, 31630, 31620])).
% 136.49/87.18 tff(31632,plain,
% 136.49/87.18 (v84(constB115, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7687, 31631])).
% 136.49/87.18 tff(31633,plain,
% 136.49/87.18 (~v116(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7695, 31632])).
% 136.49/87.18 tff(31634,plain,
% 136.49/87.18 (v84(constB114, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7567, 31613, 6994, 6947])).
% 136.49/87.18 tff(31635,plain,
% 136.49/87.18 (v84(constB115, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7672, 31634])).
% 136.49/87.18 tff(31636,plain,
% 136.49/87.18 (v94(constB116)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11772, 31635, 7908])).
% 136.49/87.18 tff(31637,plain,
% 136.49/87.18 (~v123(constB116, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11536, 31636])).
% 136.49/87.18 tff(31638,plain,
% 136.49/87.18 (~v121(constB115, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11544, 31637])).
% 136.49/87.18 tff(31639,plain,
% 136.49/87.18 (~v124(constB115, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11551, 1728, 823, 7803, 31638])).
% 136.49/87.18 tff(31640,plain,
% 136.49/87.18 (~v172(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11670, 31639])).
% 136.49/87.18 tff(31641,plain,
% 136.49/87.18 (v84(constB114, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7628, 31631, 31634, 31626])).
% 136.49/87.18 tff(31642,plain,
% 136.49/87.18 (v84(constB115, bitIndex0)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7654, 31641])).
% 136.49/87.18 tff(31643,plain,
% 136.49/87.18 (~v119(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7665, 31642])).
% 136.49/87.18 tff(31644,plain,
% 136.49/87.18 (v104(constB116)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7790, 31636])).
% 136.49/87.18 tff(31645,plain,
% 136.49/87.18 (v102(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7798, 31644])).
% 136.49/87.18 tff(31646,plain,
% 136.49/87.18 (v106(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7810, 31645])).
% 136.49/87.18 tff(31647,plain,
% 136.49/87.18 (v107(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7814, 3161, 31646])).
% 136.49/87.18 tff(31648,plain,
% 136.49/87.18 (v108(constB115) | v119(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7770, 3195, 31647])).
% 136.49/87.18 tff(31649,plain,
% 136.49/87.18 (v108(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31648, 31643])).
% 136.49/87.18 tff(31650,plain,
% 136.49/87.18 (~v118(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7680, 31635])).
% 136.49/87.18 tff(31651,plain,
% 136.49/87.18 (v109(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7761, 2856, 31650, 31649])).
% 136.49/87.18 tff(31652,plain,
% 136.49/87.18 (v110(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7722, 31651, 31640])).
% 136.49/87.18 tff(31653,plain,
% 136.49/87.18 (v111(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7727, 2932, 31652, 31633])).
% 136.49/87.18 tff(31654,plain,
% 136.49/87.18 (~v113(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7699, 1465, 31635])).
% 136.49/87.18 tff(31655,plain,
% 136.49/87.18 (~v145(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11569, 1821, 1818, 823, 31639])).
% 136.49/87.18 tff(31656,plain,
% 136.49/87.18 ((~v112(constB115)) | v113(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7743, 2894, 31655])).
% 136.49/87.18 tff(31657,plain,
% 136.49/87.18 (~v112(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31656, 31654])).
% 136.49/87.18 tff(31658,plain,
% 136.49/87.18 (~v115(constB115)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11558, 3033, 1193, 823, 31639])).
% 136.49/87.18 tff(31659,plain,
% 136.49/87.18 (v112(constB115) | (~v111(constB115))),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[7752, 2911, 31658])).
% 136.49/87.18 tff(31660,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31659, 31657, 31653])).
% 136.49/87.18 tff(31661,plain,(v94(constB108) | v84(constB116, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31662,plain,
% 136.49/87.18 (v84(constB116, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31661, 6560])).
% 136.49/87.18 tff(31663,plain,
% 136.49/87.18 (v84(constB117, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11901, 31662])).
% 136.49/87.18 tff(31664,plain,
% 136.49/87.18 (~v118(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[11998, 2842, 31663])).
% 136.49/87.18 tff(31665,plain,
% 136.49/87.18 (v109(constB117)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12925, 2856, 31664, 31609])).
% 136.49/87.18 tff(31666,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[12921, 2871, 31665, 31602, 31601])).
% 136.49/87.18 tff(31667,plain,(v94(constB108) | v115(constB117) | (~v94(constB118))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31668,plain,
% 136.49/87.18 (~v94(constB118)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31667, 31571, 6560])).
% 136.49/87.18 tff(31669,plain,
% 136.49/87.18 (v84(constB118, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[13023, 31668])).
% 136.49/87.18 tff(31670,plain,
% 136.49/87.18 (v84(constB119, bitIndex2)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5775, 31669])).
% 136.49/87.18 tff(31671,plain,
% 136.49/87.18 (~v116(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5617, 31670])).
% 136.49/87.18 tff(31672,plain,
% 136.49/87.18 (~v172(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[20451, 31541])).
% 136.49/87.18 tff(31673,plain,
% 136.49/87.18 (v84(constB118, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[6068, 31668])).
% 136.49/87.18 tff(31674,plain,
% 136.49/87.18 (v84(constB119, bitIndex1)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5592, 31673])).
% 136.49/87.18 tff(31675,plain,
% 136.49/87.18 (~v118(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[5632, 31674])).
% 136.49/87.18 tff(31676,assumption,(v119(constB119)), introduced(assumption)).
% 136.49/87.18 tff(31677,plain,
% 136.49/87.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB119)) | (~v84(constB119, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB119)) | (~v84(constB119, bitIndex0)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31678,plain,
% 136.49/87.18 (((~v84(constB119, bitIndex0)) | (~v119(constB119))) <=> ((~v119(constB119)) | (~v84(constB119, bitIndex0)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31679,plain,
% 136.49/87.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v119(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB119)) | (~v84(constB119, bitIndex0))))),
% 136.49/87.18 inference(monotonicity,[status(thm)],[31678])).
% 136.49/87.18 tff(31680,plain,
% 136.49/87.18 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v119(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB119)) | (~v84(constB119, bitIndex0)))),
% 136.49/87.18 inference(transitivity,[status(thm)],[31679, 31677])).
% 136.49/87.18 tff(31681,plain,
% 136.49/87.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v119(constB119)))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31682,plain,
% 136.49/87.18 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB119)) | (~v84(constB119, bitIndex0))),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31681, 31680])).
% 136.49/87.18 tff(31683,plain,
% 136.49/87.18 ($false),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31682, 3173, 5596, 31676])).
% 136.49/87.18 tff(31684,plain,((~v119(constB119)) | (~v84(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.18 tff(31685,plain,
% 136.49/87.18 (~v119(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31684, 31541])).
% 136.49/87.18 tff(31686,plain,
% 136.49/87.18 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB119) | v119(constB119) | (~v107(constB119)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB119) | v119(constB119) | (~v107(constB119)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31687,plain,
% 136.49/87.18 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB119) | v119(constB119) | (~v107(constB119)))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31688,plain,
% 136.49/87.18 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB119) | v119(constB119) | (~v107(constB119))),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31687, 31686])).
% 136.49/87.18 tff(31689,plain,
% 136.49/87.18 (v108(constB119) | v119(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31688, 3195, 5732])).
% 136.49/87.18 tff(31690,plain,
% 136.49/87.18 (v108(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31689, 31685])).
% 136.49/87.18 tff(31691,plain,
% 136.49/87.18 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB119) | v118(constB119) | (~v108(constB119)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB119) | v118(constB119) | (~v108(constB119)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31692,plain,
% 136.49/87.18 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB119) | v118(constB119) | (~v108(constB119)))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31693,plain,
% 136.49/87.18 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB119) | v118(constB119) | (~v108(constB119))),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31692, 31691])).
% 136.49/87.18 tff(31694,plain,
% 136.49/87.18 (v109(constB119) | v118(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31693, 2856, 31690])).
% 136.49/87.18 tff(31695,plain,
% 136.49/87.18 (v109(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31694, 31675])).
% 136.49/87.18 tff(31696,plain,
% 136.49/87.18 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB119)) | v172(constB119) | v110(constB119))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB119)) | v172(constB119) | v110(constB119))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31697,plain,
% 136.49/87.18 ((v110(constB119) | (~v109(constB119)) | v172(constB119)) <=> ((~v109(constB119)) | v172(constB119) | v110(constB119))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31698,plain,
% 136.49/87.18 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB119) | (~v109(constB119)) | v172(constB119))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB119)) | v172(constB119) | v110(constB119)))),
% 136.49/87.18 inference(monotonicity,[status(thm)],[31697])).
% 136.49/87.18 tff(31699,plain,
% 136.49/87.18 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB119) | (~v109(constB119)) | v172(constB119))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB119)) | v172(constB119) | v110(constB119))),
% 136.49/87.18 inference(transitivity,[status(thm)],[31698, 31696])).
% 136.49/87.18 tff(31700,plain,
% 136.49/87.18 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB119) | (~v109(constB119)) | v172(constB119))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31701,plain,
% 136.49/87.18 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB119)) | v172(constB119) | v110(constB119)),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31700, 31699])).
% 136.49/87.18 tff(31702,plain,
% 136.49/87.18 (v172(constB119) | v110(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31701, 2871, 31695])).
% 136.49/87.18 tff(31703,plain,
% 136.49/87.18 (v110(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31702, 31672])).
% 136.49/87.18 tff(31704,plain,
% 136.49/87.18 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB119) | v116(constB119) | (~v110(constB119)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB119) | v116(constB119) | (~v110(constB119)))),
% 136.49/87.18 inference(rewrite,[status(thm)],[])).
% 136.49/87.18 tff(31705,plain,
% 136.49/87.18 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB119) | v116(constB119) | (~v110(constB119)))),
% 136.49/87.18 inference(quant_inst,[status(thm)],[])).
% 136.49/87.18 tff(31706,plain,
% 136.49/87.18 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB119) | v116(constB119) | (~v110(constB119))),
% 136.49/87.18 inference(modus_ponens,[status(thm)],[31705, 31704])).
% 136.49/87.18 tff(31707,plain,
% 136.49/87.18 (v111(constB119)),
% 136.49/87.18 inference(unit_resolution,[status(thm)],[31706, 2932, 31703, 31671])).
% 136.49/87.19 tff(31708,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v115(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB119, bitIndex0)) | (~v115(constB119)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31709,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB119, bitIndex0)) | (~v115(constB119)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31710,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB119, bitIndex0)) | (~v115(constB119))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31709, 31708])).
% 136.49/87.19 tff(31711,plain,
% 136.49/87.19 (~v115(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31710, 3011, 31541])).
% 136.49/87.19 tff(31712,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB119) | v115(constB119) | (~v111(constB119)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB119) | v115(constB119) | (~v111(constB119)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31713,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB119) | v115(constB119) | (~v111(constB119)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31714,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB119) | v115(constB119) | (~v111(constB119))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31713, 31712])).
% 136.49/87.19 tff(31715,plain,
% 136.49/87.19 (v112(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31714, 2911, 31711, 31707])).
% 136.49/87.19 tff(31716,plain,
% 136.49/87.19 (~v113(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6215, 2764, 31541])).
% 136.49/87.19 tff(31717,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB119, bitIndex2)) | (~v145(constB119)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB119, bitIndex2)) | (~v145(constB119)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31718,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB119, bitIndex2)) | (~v145(constB119)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31719,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB119, bitIndex2)) | (~v145(constB119))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31718, 31717])).
% 136.49/87.19 tff(31720,plain,
% 136.49/87.19 (~v145(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31719, 725, 31670])).
% 136.49/87.19 tff(31721,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB119)) | v145(constB119) | v113(constB119))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB119)) | v145(constB119) | v113(constB119))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31722,plain,
% 136.49/87.19 ((v113(constB119) | (~v112(constB119)) | v145(constB119)) <=> ((~v112(constB119)) | v145(constB119) | v113(constB119))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31723,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB119) | (~v112(constB119)) | v145(constB119))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB119)) | v145(constB119) | v113(constB119)))),
% 136.49/87.19 inference(monotonicity,[status(thm)],[31722])).
% 136.49/87.19 tff(31724,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB119) | (~v112(constB119)) | v145(constB119))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB119)) | v145(constB119) | v113(constB119))),
% 136.49/87.19 inference(transitivity,[status(thm)],[31723, 31721])).
% 136.49/87.19 tff(31725,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB119) | (~v112(constB119)) | v145(constB119))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31726,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB119)) | v145(constB119) | v113(constB119)),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31725, 31724])).
% 136.49/87.19 tff(31727,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31726, 2894, 31720, 31716, 31715])).
% 136.49/87.19 tff(31728,plain,(v94(constB108) | (~v107(constB119))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31729,plain,
% 136.49/87.19 (~v107(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31728, 6560])).
% 136.49/87.19 tff(31730,assumption,(v106(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31731,assumption,(~v107(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31732,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB119) | (~v106(constB119)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB119) | (~v106(constB119)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31733,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB119) | (~v106(constB119)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31734,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB119) | (~v106(constB119))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31733, 31732])).
% 136.49/87.19 tff(31735,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31734, 3161, 31731, 31730])).
% 136.49/87.19 tff(31736,plain,((~v106(constB119)) | v107(constB119)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31737,plain,
% 136.49/87.19 (~v106(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31736, 31729])).
% 136.49/87.19 tff(31738,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB119)) | v26(constB119) | v106(constB119))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB119)) | v26(constB119) | v106(constB119))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31739,plain,
% 136.49/87.19 ((v26(constB119) | v106(constB119) | (~v102(constB119))) <=> ((~v102(constB119)) | v26(constB119) | v106(constB119))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31740,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB119) | v106(constB119) | (~v102(constB119)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB119)) | v26(constB119) | v106(constB119)))),
% 136.49/87.19 inference(monotonicity,[status(thm)],[31739])).
% 136.49/87.19 tff(31741,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB119) | v106(constB119) | (~v102(constB119)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB119)) | v26(constB119) | v106(constB119))),
% 136.49/87.19 inference(transitivity,[status(thm)],[31740, 31738])).
% 136.49/87.19 tff(31742,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB119) | v106(constB119) | (~v102(constB119)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31743,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB119)) | v26(constB119) | v106(constB119)),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31742, 31741])).
% 136.49/87.19 tff(31744,plain,
% 136.49/87.19 ((~v102(constB119)) | v106(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31743, 3146, 5666])).
% 136.49/87.19 tff(31745,plain,
% 136.49/87.19 (~v102(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31744, 31737])).
% 136.49/87.19 tff(31746,plain,
% 136.49/87.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB119, constB120)) | (~v104(constB120)) | v102(constB119))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB119, constB120)) | (~v104(constB120)) | v102(constB119))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31747,plain,
% 136.49/87.19 (((~nextState(constB119, constB120)) | v102(constB119) | (~v104(constB120))) <=> ((~nextState(constB119, constB120)) | (~v104(constB120)) | v102(constB119))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31748,plain,
% 136.49/87.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB119, constB120)) | v102(constB119) | (~v104(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB119, constB120)) | (~v104(constB120)) | v102(constB119)))),
% 136.49/87.19 inference(monotonicity,[status(thm)],[31747])).
% 136.49/87.19 tff(31749,plain,
% 136.49/87.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB119, constB120)) | v102(constB119) | (~v104(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB119, constB120)) | (~v104(constB120)) | v102(constB119))),
% 136.49/87.19 inference(transitivity,[status(thm)],[31748, 31746])).
% 136.49/87.19 tff(31750,plain,
% 136.49/87.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB119, constB120)) | v102(constB119) | (~v104(constB120)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31751,plain,
% 136.49/87.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB119, constB120)) | (~v104(constB120)) | v102(constB119)),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31750, 31749])).
% 136.49/87.19 tff(31752,plain,
% 136.49/87.19 ((~v104(constB120)) | v102(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31751, 3128, 5680])).
% 136.49/87.19 tff(31753,plain,
% 136.49/87.19 (~v104(constB120)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31752, 31745])).
% 136.49/87.19 tff(31754,plain,
% 136.49/87.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v94(constB120)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v94(constB120)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31755,plain,
% 136.49/87.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB119, constB120)) | v104(constB120) | (~v94(constB120)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31756,plain,
% 136.49/87.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB119, constB120)) | v104(constB120) | (~v94(constB120))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31755, 31754])).
% 136.49/87.19 tff(31757,plain,
% 136.49/87.19 (v104(constB120) | (~v94(constB120))),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31756, 3113, 5680])).
% 136.49/87.19 tff(31758,plain,
% 136.49/87.19 (~v94(constB120)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31757, 31753])).
% 136.49/87.19 tff(31759,plain,
% 136.49/87.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB120, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB120, bitIndex0))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31760,plain,
% 136.49/87.19 (((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | v84(constB120, bitIndex0) | (~v84(constB119, bitIndex0))) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB120, bitIndex0))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31761,plain,
% 136.49/87.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | v84(constB120, bitIndex0) | (~v84(constB119, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB120, bitIndex0)))),
% 136.49/87.19 inference(monotonicity,[status(thm)],[31760])).
% 136.49/87.19 tff(31762,plain,
% 136.49/87.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | v84(constB120, bitIndex0) | (~v84(constB119, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB120, bitIndex0))),
% 136.49/87.19 inference(transitivity,[status(thm)],[31761, 31759])).
% 136.49/87.19 tff(31763,plain,
% 136.49/87.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | v84(constB120, bitIndex0) | (~v84(constB119, bitIndex0)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31764,plain,
% 136.49/87.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex0)) | (~v84(constB119, bitIndex0)) | v84(constB120, bitIndex0)),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31763, 31762])).
% 136.49/87.19 tff(31765,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31764, 777, 795, 5680, 5920, 6258, 5596])).
% 136.49/87.19 tff(31766,plain,(v84(constB120, bitIndex0) | v94(constB120) | (~v84(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31767,plain,
% 136.49/87.19 (v84(constB120, bitIndex0)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31766, 31758, 31541])).
% 136.49/87.19 tff(31768,plain,
% 136.49/87.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex0)) | v84(constB121, bitIndex0) | (~v84(constB120, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex0)) | v84(constB121, bitIndex0) | (~v84(constB120, bitIndex0)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31769,plain,
% 136.49/87.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex0)) | v84(constB121, bitIndex0) | (~v84(constB120, bitIndex0)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31770,plain,
% 136.49/87.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex0)) | v84(constB121, bitIndex0) | (~v84(constB120, bitIndex0))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31769, 31768])).
% 136.49/87.19 tff(31771,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31770, 777, 795, 5294, 5306, 6250, 4244])).
% 136.49/87.19 tff(31772,plain,(v84(constB121, bitIndex0) | (~v84(constB120, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31773,plain,
% 136.49/87.19 (v84(constB121, bitIndex0)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31772, 31767])).
% 136.49/87.19 tff(31774,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB121, bitIndex0)) | (~v119(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB121, bitIndex0)) | (~v119(constB121)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31775,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB121, bitIndex0)) | (~v119(constB121)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31776,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB121, bitIndex0)) | (~v119(constB121))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31775, 31774])).
% 136.49/87.19 tff(31777,plain,
% 136.49/87.19 (~v119(constB121)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31776, 3173, 31773])).
% 136.49/87.19 tff(31778,plain,
% 136.49/87.19 (v94(constB124)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[4599, 4452])).
% 136.49/87.19 tff(31779,plain,
% 136.49/87.19 (v106(constB125)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[4780, 4452])).
% 136.49/87.19 tff(31780,plain,
% 136.49/87.19 (v102(constB125)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[4772, 619, 31779])).
% 136.49/87.19 tff(31781,plain,
% 136.49/87.19 (v104(constB126)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[4768, 31780])).
% 136.49/87.19 tff(31782,plain,
% 136.49/87.19 (v94(constB126)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[4760, 31781])).
% 136.49/87.19 tff(31783,plain,
% 136.49/87.19 (~v108(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6439, 658, 31729])).
% 136.49/87.19 tff(31784,assumption,(~v108(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31785,assumption,(v109(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31786,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6443, 669, 31785, 31784])).
% 136.49/87.19 tff(31787,plain,(v108(constB119) | (~v109(constB119))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31788,plain,
% 136.49/87.19 (~v109(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31787, 31783])).
% 136.49/87.19 tff(31789,assumption,(~v109(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31790,assumption,(v110(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31791,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6464, 680, 31790, 31789])).
% 136.49/87.19 tff(31792,plain,(v109(constB119) | (~v110(constB119))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31793,plain,
% 136.49/87.19 (~v110(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31792, 31788])).
% 136.49/87.19 tff(31794,assumption,(~v110(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31795,plain,
% 136.49/87.19 (~v111(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6468, 691, 31794])).
% 136.49/87.19 tff(31796,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB119) | (~v116(constB119)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB119) | (~v116(constB119)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31797,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB119) | (~v116(constB119)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31798,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB119) | (~v116(constB119))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31797, 31796])).
% 136.49/87.19 tff(31799,plain,
% 136.49/87.19 (~v116(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31798, 934, 31794])).
% 136.49/87.19 tff(31800,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v116(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v116(constB119))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31801,plain,
% 136.49/87.19 (((~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v116(constB119)) <=> ((~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v116(constB119))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31802,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v116(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v116(constB119)))),
% 136.49/87.19 inference(monotonicity,[status(thm)],[31801])).
% 136.49/87.19 tff(31803,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v116(constB119))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v116(constB119))),
% 136.49/87.19 inference(transitivity,[status(thm)],[31802, 31800])).
% 136.49/87.19 tff(31804,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | v116(constB119))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31805,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB119, bitIndex1)) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)) | v116(constB119)),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31804, 31803])).
% 136.49/87.19 tff(31806,plain,
% 136.49/87.19 ((~v84(constB119, bitIndex1)) | v116(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31805, 1076, 5766, 5596])).
% 136.49/87.19 tff(31807,plain,
% 136.49/87.19 (~v84(constB119, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31806, 31799])).
% 136.49/87.19 tff(31808,assumption,(~v111(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31809,assumption,(v112(constB119)), introduced(assumption)).
% 136.49/87.19 tff(31810,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6472, 702, 31808, 31809])).
% 136.49/87.19 tff(31811,plain,((~v112(constB119)) | v111(constB119)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31812,plain,
% 136.49/87.19 (~v112(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31811, 31808])).
% 136.49/87.19 tff(31813,plain,
% 136.49/87.19 (~v112(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6472, 702, 31808])).
% 136.49/87.19 tff(31814,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB119)) | v84(constB119, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB119)) | v84(constB119, bitIndex2))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31815,plain,
% 136.49/87.19 ((v84(constB119, bitIndex2) | (~v119(constB119))) <=> ((~v119(constB119)) | v84(constB119, bitIndex2))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31816,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB119, bitIndex2) | (~v119(constB119)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB119)) | v84(constB119, bitIndex2)))),
% 136.49/87.19 inference(monotonicity,[status(thm)],[31815])).
% 136.49/87.19 tff(31817,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB119, bitIndex2) | (~v119(constB119)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB119)) | v84(constB119, bitIndex2))),
% 136.49/87.19 inference(transitivity,[status(thm)],[31816, 31814])).
% 136.49/87.19 tff(31818,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB119, bitIndex2) | (~v119(constB119)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31819,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB119)) | v84(constB119, bitIndex2)),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31818, 31817])).
% 136.49/87.19 tff(31820,plain,
% 136.49/87.19 (~v119(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31819, 7833, 5766])).
% 136.49/87.19 tff(31821,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB119) | (~v115(constB119)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB119) | (~v115(constB119)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31822,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB119) | (~v115(constB119)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31823,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB119) | (~v115(constB119))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31822, 31821])).
% 136.49/87.19 tff(31824,plain,
% 136.49/87.19 (~v115(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31823, 945, 31808])).
% 136.49/87.19 tff(31825,plain,
% 136.49/87.19 (~v84(constB119, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5757, 31824, 5603, 31820])).
% 136.49/87.19 tff(31826,plain,
% 136.49/87.19 (v113(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6489, 31825, 5610, 5766])).
% 136.49/87.19 tff(31827,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6480, 969, 31826, 31813])).
% 136.49/87.19 tff(31828,plain,(v111(constB119) | v84(constB119, bitIndex2) | v84(constB119, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31829,plain,
% 136.49/87.19 (v84(constB119, bitIndex0)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31828, 31808, 5766])).
% 136.49/87.19 tff(31830,plain,
% 136.49/87.19 (v145(constB119)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6184, 31829, 5569, 5766])).
% 136.49/87.19 tff(31831,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6476, 713, 31830, 31812])).
% 136.49/87.19 tff(31832,plain,(v111(constB119) | v84(constB119, bitIndex1) | v84(constB119, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31833,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31832, 31807, 31795, 5766])).
% 136.49/87.19 tff(31834,plain,(v110(constB119) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31835,plain,
% 136.49/87.19 (v84(constB119, bitIndex2)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31834, 31793, 31541])).
% 136.49/87.19 tff(31836,plain,
% 136.49/87.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB120, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB120, bitIndex2))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31837,plain,
% 136.49/87.19 (((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB120, bitIndex2) | (~v84(constB119, bitIndex2))) <=> ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB120, bitIndex2))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31838,plain,
% 136.49/87.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB120, bitIndex2) | (~v84(constB119, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB120, bitIndex2)))),
% 136.49/87.19 inference(monotonicity,[status(thm)],[31837])).
% 136.49/87.19 tff(31839,plain,
% 136.49/87.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB120, bitIndex2) | (~v84(constB119, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB120, bitIndex2))),
% 136.49/87.19 inference(transitivity,[status(thm)],[31838, 31836])).
% 136.49/87.19 tff(31840,plain,
% 136.49/87.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | v84(constB120, bitIndex2) | (~v84(constB119, bitIndex2)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31841,plain,
% 136.49/87.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB119, constB120)) | v94(constB120) | (~less_3(bitIndex2)) | (~v84(constB119, bitIndex2)) | v84(constB120, bitIndex2)),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31840, 31839])).
% 136.49/87.19 tff(31842,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31841, 777, 767, 5680, 5920, 5611, 5290])).
% 136.49/87.19 tff(31843,plain,(v84(constB120, bitIndex2) | v94(constB120) | (~v84(constB119, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31844,plain,
% 136.49/87.19 (v84(constB120, bitIndex2)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31843, 31835, 31758])).
% 136.49/87.19 tff(31845,plain,
% 136.49/87.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex2)) | v84(constB121, bitIndex2) | (~v84(constB120, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex2)) | v84(constB121, bitIndex2) | (~v84(constB120, bitIndex2)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31846,plain,
% 136.49/87.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex2)) | v84(constB121, bitIndex2) | (~v84(constB120, bitIndex2)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31847,plain,
% 136.49/87.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB120, constB121)) | v94(constB121) | (~less_3(bitIndex2)) | v84(constB121, bitIndex2) | (~v84(constB120, bitIndex2))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31846, 31845])).
% 136.49/87.19 tff(31848,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31847, 777, 767, 5294, 5306, 5594, 4107])).
% 136.49/87.19 tff(31849,plain,(v84(constB121, bitIndex2) | (~v84(constB120, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31850,plain,
% 136.49/87.19 (v84(constB121, bitIndex2)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31849, 31844])).
% 136.49/87.19 tff(31851,plain,
% 136.49/87.19 (~v145(constB121)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5330, 725, 31850])).
% 136.49/87.19 tff(31852,plain,
% 136.49/87.19 (v84(constB120, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6503, 31758])).
% 136.49/87.19 tff(31853,plain,
% 136.49/87.19 (v84(constB121, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6012, 31852])).
% 136.49/87.19 tff(31854,plain,
% 136.49/87.19 (~v172(constB121)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5997, 2289, 31853])).
% 136.49/87.19 tff(31855,plain,
% 136.49/87.19 (~v113(constB121)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5336, 1119, 31850])).
% 136.49/87.19 tff(31856,plain,
% 136.49/87.19 (~v115(constB121)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5340, 2665, 31850])).
% 136.49/87.19 tff(31857,plain,
% 136.49/87.19 (~v116(constB121)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5322, 31850])).
% 136.49/87.19 tff(31858,plain,
% 136.49/87.19 (~v118(constB121)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[6001, 2842, 31853])).
% 136.49/87.19 tff(31859,plain,
% 136.49/87.19 (~v124(constB121, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5972, 31858, 31857, 31856, 31855, 31854, 31851])).
% 136.49/87.19 tff(31860,plain,
% 136.49/87.19 (~v121(constB121, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5967, 31859])).
% 136.49/87.19 tff(31861,plain,
% 136.49/87.19 (~v123(constB122, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5962, 31860])).
% 136.49/87.19 tff(31862,assumption,(v115(constB123)), introduced(assumption)).
% 136.49/87.19 tff(31863,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB123, bitIndex2)) | (~v115(constB123)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31864,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v115(constB123)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31865,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB123, bitIndex2)) | (~v115(constB123))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31864, 31863])).
% 136.49/87.19 tff(31866,plain,
% 136.49/87.19 (~v84(constB123, bitIndex2)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31865, 2665, 31862])).
% 136.49/87.19 tff(31867,plain,
% 136.49/87.19 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB123, bitIndex1) | (~v115(constB123)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB123, bitIndex1) | (~v115(constB123)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31868,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | (v84(constB123, bitIndex1) | (~v115(constB123)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31869,plain,
% 136.49/87.19 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v115(VarCurr)))) | v84(constB123, bitIndex1) | (~v115(constB123))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31868, 31867])).
% 136.49/87.19 tff(31870,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31869, 11343, 4012, 31862])).
% 136.49/87.19 tff(31871,plain,((~v115(constB123)) | v84(constB123, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31872,plain,
% 136.49/87.19 (v84(constB123, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31871, 31862])).
% 136.49/87.19 tff(31873,plain,
% 136.49/87.19 (v84(constB122, bitIndex1)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5315, 31872])).
% 136.49/87.19 tff(31874,plain,
% 136.49/87.19 (~v94(constB122)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[5182, 1344, 823, 31873, 5953])).
% 136.49/87.19 tff(31875,plain,
% 136.49/87.19 (v84(constB122, bitIndex2)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[4282, 31874])).
% 136.49/87.19 tff(31876,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[4103, 31875, 31866])).
% 136.49/87.19 tff(31877,plain,((~v115(constB123)) | v123(constB122, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31878,plain,
% 136.49/87.19 (~v115(constB123)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31877, 31861])).
% 136.49/87.19 tff(31879,assumption,(v113(constB123)), introduced(assumption)).
% 136.49/87.19 tff(31880,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB123)) | (~v84(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB123)) | (~v84(constB123, bitIndex2)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31881,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB123)) | (~v84(constB123, bitIndex2)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31882,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB123)) | (~v84(constB123, bitIndex2))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31881, 31880])).
% 136.49/87.19 tff(31883,plain,
% 136.49/87.19 (~v84(constB123, bitIndex2)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31882, 1119, 31879])).
% 136.49/87.19 tff(31884,plain,
% 136.49/87.19 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB123, bitIndex0)) | (~v113(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB123, bitIndex0)) | (~v113(constB123)))),
% 136.49/87.19 inference(rewrite,[status(thm)],[])).
% 136.49/87.19 tff(31885,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB123, bitIndex0)) | (~v113(constB123)))),
% 136.49/87.19 inference(quant_inst,[status(thm)],[])).
% 136.49/87.19 tff(31886,plain,
% 136.49/87.19 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB123, bitIndex0)) | (~v113(constB123))),
% 136.49/87.19 inference(modus_ponens,[status(thm)],[31885, 31884])).
% 136.49/87.19 tff(31887,plain,
% 136.49/87.19 (~v84(constB123, bitIndex0)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31886, 2764, 31879])).
% 136.49/87.19 tff(31888,plain,
% 136.49/87.19 ($false),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[4412, 31887, 31883, 4309])).
% 136.49/87.19 tff(31889,plain,((~v113(constB123)) | v115(constB123)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.19 tff(31890,plain,
% 136.49/87.19 (~v113(constB123)),
% 136.49/87.19 inference(unit_resolution,[status(thm)],[31889, 31878])).
% 136.49/87.20 tff(31891,plain,
% 136.49/87.20 (~v116(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[5957, 31861])).
% 136.49/87.20 tff(31892,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex2)))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31893,plain,
% 136.49/87.20 ((v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex2)))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31894,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex2))))),
% 136.49/87.20 inference(monotonicity,[status(thm)],[31893])).
% 136.49/87.20 tff(31895,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex2)))),
% 136.49/87.20 inference(transitivity,[status(thm)],[31894, 31892])).
% 136.49/87.20 tff(31896,plain,
% 136.49/87.20 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB121) | v145(constB121) | v115(constB121) | v116(constB121) | v172(constB121) | v118(constB121) | (~less_3(bitIndex2)) | (~v124(constB121, bitIndex2)) | b001(bitIndex2))),
% 136.49/87.20 inference(quant_inst,[status(thm)],[])).
% 136.49/87.20 tff(31897,plain,
% 136.49/87.20 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121) | (~v124(constB121, bitIndex2))),
% 136.49/87.20 inference(modus_ponens,[status(thm)],[31896, 31895])).
% 136.49/87.20 tff(31898,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31897, 2427, 2424, 767, 5941, 4254, 5940, 5939, 5970, 5942, 5986])).
% 136.49/87.20 tff(31899,plain,((~v124(constB121, bitIndex2)) | v145(constB121) | v115(constB121) | v113(constB121) | v116(constB121) | v172(constB121) | v118(constB121)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31900,plain,
% 136.49/87.20 (~v124(constB121, bitIndex2)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31899, 31858, 31857, 31855, 31856, 31854, 31851])).
% 136.49/87.20 tff(31901,assumption,(v121(constB121, bitIndex2)), introduced(assumption)).
% 136.49/87.20 tff(31902,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[5230, 1380, 767, 4156, 5974, 31901])).
% 136.49/87.20 tff(31903,plain,(v124(constB121, bitIndex2) | (~v121(constB121, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31904,plain,
% 136.49/87.20 (~v121(constB121, bitIndex2)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31903, 31900])).
% 136.49/87.20 tff(31905,assumption,(v123(constB122, bitIndex2)), introduced(assumption)).
% 136.49/87.20 tff(31906,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[5223, 1362, 767, 4110, 5985, 31905])).
% 136.49/87.20 tff(31907,plain,((~v123(constB122, bitIndex2)) | v121(constB121, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31908,plain,
% 136.49/87.20 (~v123(constB122, bitIndex2)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31907, 31904])).
% 136.49/87.20 tff(31909,assumption,(v145(constB123)), introduced(assumption)).
% 136.49/87.20 tff(31910,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4956, 1821, 1818, 823, 31909, 4980])).
% 136.49/87.20 tff(31911,plain,(v124(constB123, bitIndex1) | (~v145(constB123))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31912,plain,
% 136.49/87.20 (~v145(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31911, 4980])).
% 136.49/87.20 tff(31913,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4942, 3033, 1193, 823, 31862, 4980])).
% 136.49/87.20 tff(31914,plain,(v124(constB123, bitIndex1) | (~v115(constB123))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31915,plain,
% 136.49/87.20 (~v115(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31914, 4980])).
% 136.49/87.20 tff(31916,assumption,(~v123(constB122, bitIndex2)), introduced(assumption)).
% 136.49/87.20 tff(31917,plain,
% 136.49/87.20 (~v121(constB123, bitIndex1)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4988, 4980])).
% 136.49/87.20 tff(31918,assumption,(v123(constB124, bitIndex1)), introduced(assumption)).
% 136.49/87.20 tff(31919,assumption,(~v121(constB123, bitIndex1)), introduced(assumption)).
% 136.49/87.20 tff(31920,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4977, 1362, 823, 3912, 31919, 31918])).
% 136.49/87.20 tff(31921,plain,((~v123(constB124, bitIndex1)) | v121(constB123, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31922,plain,
% 136.49/87.20 (~v123(constB124, bitIndex1)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31921, 31917])).
% 136.49/87.20 tff(31923,assumption,(~v123(constB124, bitIndex1)), introduced(assumption)).
% 136.49/87.20 tff(31924,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4973, 1344, 823, 4832, 4499, 31923])).
% 136.49/87.20 tff(31925,plain,(v123(constB124, bitIndex1) | (~v94(constB124)) | (~v84(constB124, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31926,plain,
% 136.49/87.20 (~v84(constB124, bitIndex1)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31925, 31922, 4832])).
% 136.49/87.20 tff(31927,plain,
% 136.49/87.20 (v94(constB124)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4065, 3996])).
% 136.49/87.20 tff(31928,plain,
% 136.49/87.20 (~v123(constB124, bitIndex1)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4838, 1674, 823, 31927, 3996])).
% 136.49/87.20 tff(31929,plain,
% 136.49/87.20 (~v121(constB123, bitIndex1)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4842, 1708, 823, 3912, 31928])).
% 136.49/87.20 tff(31930,plain,
% 136.49/87.20 (~v124(constB123, bitIndex1)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[4849, 1728, 823, 3951, 31929])).
% 136.49/87.20 tff(31931,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB123)) | v124(constB123, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB123)) | v124(constB123, bitIndex1))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31932,plain,
% 136.49/87.20 (((~v172(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB123)) | v124(constB123, bitIndex1))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31933,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB123)) | v124(constB123, bitIndex1)))),
% 136.49/87.20 inference(monotonicity,[status(thm)],[31932])).
% 136.49/87.20 tff(31934,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB123)) | v124(constB123, bitIndex1))),
% 136.49/87.20 inference(transitivity,[status(thm)],[31933, 31931])).
% 136.49/87.20 tff(31935,plain,
% 136.49/87.20 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB123)) | (~less_3(bitIndex1)) | v124(constB123, bitIndex1) | (~b110(bitIndex1)))),
% 136.49/87.20 inference(quant_inst,[status(thm)],[])).
% 136.49/87.20 tff(31936,plain,
% 136.49/87.20 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB123)) | v124(constB123, bitIndex1)),
% 136.49/87.20 inference(modus_ponens,[status(thm)],[31935, 31934])).
% 136.49/87.20 tff(31937,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31936, 1801, 1798, 823, 4920, 31930])).
% 136.49/87.20 tff(31938,plain,((~v172(constB123)) | v84(constB124, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31939,plain,
% 136.49/87.20 (~v172(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31938, 31926])).
% 136.49/87.20 tff(31940,plain,
% 136.49/87.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v94(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v94(constB124)))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31941,plain,
% 136.49/87.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB123, constB124)) | v104(constB124) | (~v94(constB124)))),
% 136.49/87.20 inference(quant_inst,[status(thm)],[])).
% 136.49/87.20 tff(31942,plain,
% 136.49/87.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB123, constB124)) | v104(constB124) | (~v94(constB124))),
% 136.49/87.20 inference(modus_ponens,[status(thm)],[31941, 31940])).
% 136.49/87.20 tff(31943,plain,
% 136.49/87.20 (v104(constB124) | (~v94(constB124))),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31942, 3113, 3912])).
% 136.49/87.20 tff(31944,plain,
% 136.49/87.20 (v104(constB124)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31943, 4832])).
% 136.49/87.20 tff(31945,plain,
% 136.49/87.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB123, constB124)) | (~v104(constB124)) | v102(constB123))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB123, constB124)) | (~v104(constB124)) | v102(constB123))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31946,plain,
% 136.49/87.20 (((~nextState(constB123, constB124)) | v102(constB123) | (~v104(constB124))) <=> ((~nextState(constB123, constB124)) | (~v104(constB124)) | v102(constB123))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31947,plain,
% 136.49/87.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB123, constB124)) | v102(constB123) | (~v104(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB123, constB124)) | (~v104(constB124)) | v102(constB123)))),
% 136.49/87.20 inference(monotonicity,[status(thm)],[31946])).
% 136.49/87.20 tff(31948,plain,
% 136.49/87.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB123, constB124)) | v102(constB123) | (~v104(constB124)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB123, constB124)) | (~v104(constB124)) | v102(constB123))),
% 136.49/87.20 inference(transitivity,[status(thm)],[31947, 31945])).
% 136.49/87.20 tff(31949,plain,
% 136.49/87.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB123, constB124)) | v102(constB123) | (~v104(constB124)))),
% 136.49/87.20 inference(quant_inst,[status(thm)],[])).
% 136.49/87.20 tff(31950,plain,
% 136.49/87.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB123, constB124)) | (~v104(constB124)) | v102(constB123)),
% 136.49/87.20 inference(modus_ponens,[status(thm)],[31949, 31948])).
% 136.49/87.20 tff(31951,plain,
% 136.49/87.20 ((~v104(constB124)) | v102(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31950, 3128, 3912])).
% 136.49/87.20 tff(31952,plain,
% 136.49/87.20 (v102(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31951, 31944])).
% 136.49/87.20 tff(31953,plain,
% 136.49/87.20 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB123)) | v26(constB123) | v106(constB123))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB123)) | v26(constB123) | v106(constB123))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31954,plain,
% 136.49/87.20 ((v26(constB123) | v106(constB123) | (~v102(constB123))) <=> ((~v102(constB123)) | v26(constB123) | v106(constB123))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31955,plain,
% 136.49/87.20 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB123) | v106(constB123) | (~v102(constB123)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB123)) | v26(constB123) | v106(constB123)))),
% 136.49/87.20 inference(monotonicity,[status(thm)],[31954])).
% 136.49/87.20 tff(31956,plain,
% 136.49/87.20 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB123) | v106(constB123) | (~v102(constB123)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB123)) | v26(constB123) | v106(constB123))),
% 136.49/87.20 inference(transitivity,[status(thm)],[31955, 31953])).
% 136.49/87.20 tff(31957,plain,
% 136.49/87.20 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB123) | v106(constB123) | (~v102(constB123)))),
% 136.49/87.20 inference(quant_inst,[status(thm)],[])).
% 136.49/87.20 tff(31958,plain,
% 136.49/87.20 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB123)) | v26(constB123) | v106(constB123)),
% 136.49/87.20 inference(modus_ponens,[status(thm)],[31957, 31956])).
% 136.49/87.20 tff(31959,plain,
% 136.49/87.20 ((~v102(constB123)) | v106(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31958, 3146, 3951])).
% 136.49/87.20 tff(31960,plain,
% 136.49/87.20 (v106(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31959, 31952])).
% 136.49/87.20 tff(31961,plain,
% 136.49/87.20 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB123) | (~v106(constB123)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB123) | (~v106(constB123)))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31962,plain,
% 136.49/87.20 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB123) | (~v106(constB123)))),
% 136.49/87.20 inference(quant_inst,[status(thm)],[])).
% 136.49/87.20 tff(31963,plain,
% 136.49/87.20 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB123) | (~v106(constB123))),
% 136.49/87.20 inference(modus_ponens,[status(thm)],[31962, 31961])).
% 136.49/87.20 tff(31964,plain,
% 136.49/87.20 (v107(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31963, 3161, 31960])).
% 136.49/87.20 tff(31965,plain,
% 136.49/87.20 (~v113(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31889, 4309])).
% 136.49/87.20 tff(31966,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB123)) | (~v124(constB123, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB123)) | (~v124(constB123, bitIndex0)))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31967,plain,
% 136.49/87.20 (((~v145(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB123)) | (~v124(constB123, bitIndex0)))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31968,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB123)) | (~v124(constB123, bitIndex0))))),
% 136.49/87.20 inference(monotonicity,[status(thm)],[31967])).
% 136.49/87.20 tff(31969,plain,
% 136.49/87.20 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB123)) | (~v124(constB123, bitIndex0)))),
% 136.49/87.20 inference(transitivity,[status(thm)],[31968, 31966])).
% 136.49/87.20 tff(31970,plain,
% 136.49/87.20 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB123)) | (~less_3(bitIndex0)) | (~v124(constB123, bitIndex0)) | b010(bitIndex0))),
% 136.49/87.20 inference(quant_inst,[status(thm)],[])).
% 136.49/87.20 tff(31971,plain,
% 136.49/87.20 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB123)) | (~v124(constB123, bitIndex0))),
% 136.49/87.20 inference(modus_ponens,[status(thm)],[31970, 31969])).
% 136.49/87.20 tff(31972,plain,
% 136.49/87.20 ($false),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31971, 2299, 1416, 795, 31909, 4886])).
% 136.49/87.20 tff(31973,plain,((~v124(constB123, bitIndex0)) | (~v145(constB123))), inference(lemma,lemma(discharge,[]))).
% 136.49/87.20 tff(31974,plain,
% 136.49/87.20 (~v145(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31973, 4886])).
% 136.49/87.20 tff(31975,plain,
% 136.49/87.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB123) | v113(constB123) | (~v112(constB123)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB123) | v113(constB123) | (~v112(constB123)))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31976,plain,
% 136.49/87.20 ((v113(constB123) | (~v112(constB123)) | v145(constB123)) <=> (v145(constB123) | v113(constB123) | (~v112(constB123)))),
% 136.49/87.20 inference(rewrite,[status(thm)],[])).
% 136.49/87.20 tff(31977,plain,
% 136.49/87.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB123) | (~v112(constB123)) | v145(constB123))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB123) | v113(constB123) | (~v112(constB123))))),
% 136.49/87.20 inference(monotonicity,[status(thm)],[31976])).
% 136.49/87.20 tff(31978,plain,
% 136.49/87.20 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB123) | (~v112(constB123)) | v145(constB123))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB123) | v113(constB123) | (~v112(constB123)))),
% 136.49/87.20 inference(transitivity,[status(thm)],[31977, 31975])).
% 136.49/87.20 tff(31979,plain,
% 136.49/87.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB123) | (~v112(constB123)) | v145(constB123))),
% 136.49/87.20 inference(quant_inst,[status(thm)],[])).
% 136.49/87.20 tff(31980,plain,
% 136.49/87.20 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB123) | v113(constB123) | (~v112(constB123))),
% 136.49/87.20 inference(modus_ponens,[status(thm)],[31979, 31978])).
% 136.49/87.20 tff(31981,plain,
% 136.49/87.20 (~v112(constB123)),
% 136.49/87.20 inference(unit_resolution,[status(thm)],[31980, 2894, 31974, 31965])).
% 136.49/87.20 tff(31982,plain,
% 136.49/87.20 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB123) | v115(constB123) | (~v111(constB123)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB123) | v115(constB123) | (~v111(constB123)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(31983,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB123) | v115(constB123) | (~v111(constB123)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(31984,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB123) | v115(constB123) | (~v111(constB123))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[31983, 31982])).
% 136.56/87.20 tff(31985,plain,
% 136.56/87.20 (~v111(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[31984, 2911, 4309, 31981])).
% 136.56/87.20 tff(31986,plain,
% 136.56/87.20 (~v116(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5121, 2386, 2164, 795, 4886])).
% 136.56/87.20 tff(31987,plain,
% 136.56/87.20 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB123) | v116(constB123) | (~v110(constB123)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB123) | v116(constB123) | (~v110(constB123)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(31988,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB123) | v116(constB123) | (~v110(constB123)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(31989,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB123) | v116(constB123) | (~v110(constB123))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[31988, 31987])).
% 136.56/87.20 tff(31990,plain,
% 136.56/87.20 (v111(constB123) | (~v110(constB123))),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[31989, 2932, 31986])).
% 136.56/87.20 tff(31991,plain,
% 136.56/87.20 (~v110(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[31990, 31985])).
% 136.56/87.20 tff(31992,plain,
% 136.56/87.20 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB123)) | v172(constB123) | v110(constB123))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB123)) | v172(constB123) | v110(constB123))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(31993,plain,
% 136.56/87.20 ((v110(constB123) | (~v109(constB123)) | v172(constB123)) <=> ((~v109(constB123)) | v172(constB123) | v110(constB123))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(31994,plain,
% 136.56/87.20 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB123) | (~v109(constB123)) | v172(constB123))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB123)) | v172(constB123) | v110(constB123)))),
% 136.56/87.20 inference(monotonicity,[status(thm)],[31993])).
% 136.56/87.20 tff(31995,plain,
% 136.56/87.20 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB123) | (~v109(constB123)) | v172(constB123))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB123)) | v172(constB123) | v110(constB123))),
% 136.56/87.20 inference(transitivity,[status(thm)],[31994, 31992])).
% 136.56/87.20 tff(31996,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB123) | (~v109(constB123)) | v172(constB123))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(31997,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB123)) | v172(constB123) | v110(constB123)),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[31996, 31995])).
% 136.56/87.20 tff(31998,plain,
% 136.56/87.20 ((~v109(constB123)) | v110(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[31997, 2871, 4048])).
% 136.56/87.20 tff(31999,plain,
% 136.56/87.20 (~v109(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[31998, 31991])).
% 136.56/87.20 tff(32000,plain,
% 136.56/87.20 (~v118(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4856, 3033, 1145, 823, 4980])).
% 136.56/87.20 tff(32001,plain,
% 136.56/87.20 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB123) | v118(constB123) | (~v108(constB123)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB123) | v118(constB123) | (~v108(constB123)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32002,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB123) | v118(constB123) | (~v108(constB123)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(32003,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB123) | v118(constB123) | (~v108(constB123))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[32002, 32001])).
% 136.56/87.20 tff(32004,plain,
% 136.56/87.20 (v109(constB123) | (~v108(constB123))),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32003, 2856, 32000])).
% 136.56/87.20 tff(32005,plain,
% 136.56/87.20 (~v108(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32004, 31999])).
% 136.56/87.20 tff(32006,assumption,(v107(constB123)), introduced(assumption)).
% 136.56/87.20 tff(32007,plain,
% 136.56/87.20 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB123) | v119(constB123) | (~v107(constB123)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB123) | v119(constB123) | (~v107(constB123)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32008,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB123) | v119(constB123) | (~v107(constB123)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(32009,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB123) | v119(constB123) | (~v107(constB123))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[32008, 32007])).
% 136.56/87.20 tff(32010,plain,
% 136.56/87.20 (v108(constB123) | v119(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32009, 3195, 32006])).
% 136.56/87.20 tff(32011,plain,
% 136.56/87.20 (v119(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32010, 32005])).
% 136.56/87.20 tff(32012,plain,
% 136.56/87.20 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB123, bitIndex1) | (~v119(constB123)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | v84(constB123, bitIndex1) | (~v119(constB123)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32013,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB123, bitIndex1) | (~v119(constB123)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(32014,plain,
% 136.56/87.20 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | v84(constB123, bitIndex1) | (~v119(constB123))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[32013, 32012])).
% 136.56/87.20 tff(32015,plain,
% 136.56/87.20 (v84(constB123, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32014, 9858, 32011])).
% 136.56/87.20 tff(32016,plain,
% 136.56/87.20 (v84(constB122, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5315, 32015])).
% 136.56/87.20 tff(32017,plain,
% 136.56/87.20 (v84(constB123, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4667, 31986, 4309, 31965, 31974])).
% 136.56/87.20 tff(32018,plain,
% 136.56/87.20 (v84(constB122, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5160, 32017])).
% 136.56/87.20 tff(32019,plain,
% 136.56/87.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB123, bitIndex0)) | (~v119(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB123, bitIndex0)) | (~v119(constB123)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32020,plain,
% 136.56/87.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB123, bitIndex0)) | (~v119(constB123)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(32021,plain,
% 136.56/87.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB123, bitIndex0)) | (~v119(constB123))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[32020, 32019])).
% 136.56/87.20 tff(32022,plain,
% 136.56/87.20 (~v84(constB123, bitIndex0)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32021, 3173, 32011])).
% 136.56/87.20 tff(32023,plain,
% 136.56/87.20 (~v84(constB122, bitIndex0)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4355, 32022])).
% 136.56/87.20 tff(32024,plain,
% 136.56/87.20 (v106(constB121)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[6375, 32023, 32018, 32016])).
% 136.56/87.20 tff(32025,plain,
% 136.56/87.20 (v102(constB121)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4151, 619, 32024])).
% 136.56/87.20 tff(32026,plain,
% 136.56/87.20 (v104(constB122)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4147, 32025])).
% 136.56/87.20 tff(32027,plain,
% 136.56/87.20 (v94(constB122)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4139, 32026])).
% 136.56/87.20 tff(32028,plain,
% 136.56/87.20 ((~v94(constB122)) | v123(constB122, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5182, 1344, 823, 32016])).
% 136.56/87.20 tff(32029,plain,
% 136.56/87.20 (v123(constB122, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32028, 32027])).
% 136.56/87.20 tff(32030,plain,
% 136.56/87.20 (v121(constB121, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5187, 1362, 823, 4110, 32029])).
% 136.56/87.20 tff(32031,plain,
% 136.56/87.20 (v124(constB121, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5191, 1380, 823, 4156, 32030])).
% 136.56/87.20 tff(32032,plain,
% 136.56/87.20 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB121)) | (~v84(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB121)) | (~v84(constB121, bitIndex1)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32033,plain,
% 136.56/87.20 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB121)) | (~v84(constB121, bitIndex1)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(32034,plain,
% 136.56/87.20 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB121)) | (~v84(constB121, bitIndex1))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[32033, 32032])).
% 136.56/87.20 tff(32035,plain,
% 136.56/87.20 (~v113(constB121)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32034, 1465, 4243])).
% 136.56/87.20 tff(32036,plain,
% 136.56/87.20 ((~v94(constB122)) | v123(constB122, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5215, 1344, 767, 32018])).
% 136.56/87.20 tff(32037,plain,
% 136.56/87.20 (v123(constB122, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32036, 32027])).
% 136.56/87.20 tff(32038,plain,
% 136.56/87.20 (v121(constB121, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5223, 1362, 767, 4110, 32037])).
% 136.56/87.20 tff(32039,plain,
% 136.56/87.20 (v124(constB121, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5230, 1380, 767, 4156, 32038])).
% 136.56/87.20 tff(32040,plain,
% 136.56/87.20 (~v115(constB121)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5237, 2030, 2257, 767, 32039])).
% 136.56/87.20 tff(32041,plain,
% 136.56/87.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB121)) | (~v84(constB121, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB121)) | (~v84(constB121, bitIndex1)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32042,plain,
% 136.56/87.20 (((~v84(constB121, bitIndex1)) | (~v145(constB121))) <=> ((~v145(constB121)) | (~v84(constB121, bitIndex1)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32043,plain,
% 136.56/87.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v145(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB121)) | (~v84(constB121, bitIndex1))))),
% 136.56/87.20 inference(monotonicity,[status(thm)],[32042])).
% 136.56/87.20 tff(32044,plain,
% 136.56/87.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v145(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB121)) | (~v84(constB121, bitIndex1)))),
% 136.56/87.20 inference(transitivity,[status(thm)],[32043, 32041])).
% 136.56/87.20 tff(32045,plain,
% 136.56/87.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB121, bitIndex1)) | (~v145(constB121)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(32046,plain,
% 136.56/87.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB121)) | (~v84(constB121, bitIndex1))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[32045, 32044])).
% 136.56/87.20 tff(32047,plain,
% 136.56/87.20 (~v145(constB121)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32046, 816, 4243])).
% 136.56/87.20 tff(32048,plain,
% 136.56/87.20 (v116(constB121)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5280, 2601, 2424, 823, 32047, 32040, 32035, 5998, 6002, 32031])).
% 136.56/87.20 tff(32049,plain,
% 136.56/87.20 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB121)) | (~v124(constB121, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB121)) | (~v124(constB121, bitIndex1)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32050,plain,
% 136.56/87.20 (((~v116(constB121)) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB121)) | (~v124(constB121, bitIndex1)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32051,plain,
% 136.56/87.20 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB121)) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB121)) | (~v124(constB121, bitIndex1))))),
% 136.56/87.20 inference(monotonicity,[status(thm)],[32050])).
% 136.56/87.20 tff(32052,plain,
% 136.56/87.20 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB121)) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB121)) | (~v124(constB121, bitIndex1)))),
% 136.56/87.20 inference(transitivity,[status(thm)],[32051, 32049])).
% 136.56/87.20 tff(32053,plain,
% 136.56/87.20 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB121)) | (~less_3(bitIndex1)) | (~v124(constB121, bitIndex1)) | b100(bitIndex1))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(32054,plain,
% 136.56/87.20 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB121)) | (~v124(constB121, bitIndex1))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[32053, 32052])).
% 136.56/87.20 tff(32055,plain,
% 136.56/87.20 ($false),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32054, 2167, 2164, 823, 32048, 32031])).
% 136.56/87.20 tff(32056,plain,((~v124(constB123, bitIndex0)) | (~v84(constB121, bitIndex1)) | (~v107(constB123)) | v172(constB123) | v115(constB123) | v124(constB123, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.20 tff(32057,plain,
% 136.56/87.20 (~v124(constB123, bitIndex0)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32056, 31939, 31964, 4980, 31915, 4243])).
% 136.56/87.20 tff(32058,assumption,(~v124(constB123, bitIndex0)), introduced(assumption)).
% 136.56/87.20 tff(32059,assumption,(~v118(constB123)), introduced(assumption)).
% 136.56/87.20 tff(32060,plain,
% 136.56/87.20 ($false),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4963, 1213, 1210, 795, 4013, 4022, 4309, 4074, 4048, 32059, 32058])).
% 136.56/87.20 tff(32061,plain,(v124(constB123, bitIndex0) | v145(constB123) | v113(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.20 tff(32062,plain,
% 136.56/87.20 (v118(constB123)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32061, 4013, 4048, 32058, 4309, 31965, 4074])).
% 136.56/87.20 tff(32063,plain,
% 136.56/87.20 (v84(constB123, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4667, 4013, 4309, 31965, 4074])).
% 136.56/87.20 tff(32064,plain,
% 136.56/87.20 (v84(constB122, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5160, 32063])).
% 136.56/87.20 tff(32065,plain,
% 136.56/87.20 ((~v94(constB122)) | (~v84(constB122, bitIndex2))),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5215, 1344, 767, 31916])).
% 136.56/87.20 tff(32066,plain,
% 136.56/87.20 (~v94(constB122)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32065, 32064])).
% 136.56/87.20 tff(32067,plain,
% 136.56/87.20 (v84(constB122, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4229, 32066])).
% 136.56/87.20 tff(32068,plain,
% 136.56/87.20 (v84(constB123, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4323, 32067])).
% 136.56/87.20 tff(32069,plain,
% 136.56/87.20 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB123, bitIndex1)) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB123, bitIndex1)) | (~v118(constB123)))),
% 136.56/87.20 inference(rewrite,[status(thm)],[])).
% 136.56/87.20 tff(32070,plain,
% 136.56/87.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB123, bitIndex1)) | (~v118(constB123)))),
% 136.56/87.20 inference(quant_inst,[status(thm)],[])).
% 136.56/87.20 tff(32071,plain,
% 136.56/87.20 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB123, bitIndex1)) | (~v118(constB123))),
% 136.56/87.20 inference(modus_ponens,[status(thm)],[32070, 32069])).
% 136.56/87.20 tff(32072,plain,
% 136.56/87.20 ($false),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32071, 2842, 32068, 32062])).
% 136.56/87.20 tff(32073,plain,(v145(constB123) | v123(constB122, bitIndex2) | v172(constB123) | v124(constB123, bitIndex0) | v115(constB123) | v116(constB123)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.20 tff(32074,plain,
% 136.56/87.20 ($false),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32073, 32057, 31939, 4074, 31916, 31915, 31912])).
% 136.56/87.20 tff(32075,plain,(v124(constB123, bitIndex1) | v116(constB123) | v123(constB122, bitIndex2) | (~v84(constB121, bitIndex1)) | (~v94(constB124))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.20 tff(32076,plain,
% 136.56/87.20 (v124(constB123, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32075, 31908, 4832, 31853, 31891])).
% 136.56/87.20 tff(32077,plain,
% 136.56/87.20 (v84(constB123, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4412, 4038, 4309])).
% 136.56/87.20 tff(32078,plain,
% 136.56/87.20 (v84(constB122, bitIndex2)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[5160, 32077])).
% 136.56/87.20 tff(32079,plain,
% 136.56/87.20 (~v94(constB122)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[32065, 32078])).
% 136.56/87.20 tff(32080,plain,
% 136.56/87.20 (v84(constB122, bitIndex1)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4229, 32079])).
% 136.56/87.20 tff(32081,plain,
% 136.56/87.20 (v106(constB121)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[6375, 32080, 4356, 32078])).
% 136.56/87.20 tff(32082,plain,
% 136.56/87.20 (~v104(constB122)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4139, 32079])).
% 136.56/87.20 tff(32083,plain,
% 136.56/87.20 (~v102(constB121)),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4147, 32082])).
% 136.56/87.20 tff(32084,plain,
% 136.56/87.20 ($false),
% 136.56/87.20 inference(unit_resolution,[status(thm)],[4151, 619, 32083, 32081])).
% 136.56/87.20 tff(32085,plain,(v84(constB123, bitIndex0) | v123(constB122, bitIndex2) | v115(constB123)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.20 tff(32086,plain,
% 136.56/87.20 (v84(constB123, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32085, 31878, 31908])).
% 136.56/87.21 tff(32087,plain,
% 136.56/87.21 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB123, bitIndex0)) | (~v172(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB123, bitIndex0)) | (~v172(constB123)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32088,plain,
% 136.56/87.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB123, bitIndex0)) | (~v172(constB123)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32089,plain,
% 136.56/87.21 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB123, bitIndex0)) | (~v172(constB123))),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32088, 32087])).
% 136.56/87.21 tff(32090,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32089, 7708, 4470, 4920])).
% 136.56/87.21 tff(32091,plain,((~v172(constB123)) | (~v84(constB123, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32092,plain,
% 136.56/87.21 (~v172(constB123)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32091, 32086])).
% 136.56/87.21 tff(32093,assumption,(v124(constB123, bitIndex1)), introduced(assumption)).
% 136.56/87.21 tff(32094,plain,
% 136.56/87.21 (v145(constB123) | v118(constB123) | v115(constB123)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5149, 2601, 2424, 823, 4022, 4074, 4048, 32093])).
% 136.56/87.21 tff(32095,plain,
% 136.56/87.21 (v118(constB123)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32094, 4309, 4013])).
% 136.56/87.21 tff(32096,plain,
% 136.56/87.21 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB123, bitIndex0) | (~v118(constB123)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB123, bitIndex0) | (~v118(constB123)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32097,plain,
% 136.56/87.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB123, bitIndex0) | (~v118(constB123)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32098,plain,
% 136.56/87.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB123, bitIndex0) | (~v118(constB123))),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32097, 32096])).
% 136.56/87.21 tff(32099,plain,
% 136.56/87.21 (v84(constB123, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32098, 2642, 32095])).
% 136.56/87.21 tff(32100,plain,
% 136.56/87.21 (v84(constB122, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5164, 805, 795, 4086, 4098, 32099])).
% 136.56/87.21 tff(32101,plain,
% 136.56/87.21 (~v84(constB123, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32071, 2842, 32095])).
% 136.56/87.21 tff(32102,plain,
% 136.56/87.21 (~v84(constB122, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4323, 32101])).
% 136.56/87.21 tff(32103,plain,
% 136.56/87.21 (v94(constB122)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4229, 32102])).
% 136.56/87.21 tff(32104,plain,
% 136.56/87.21 (v123(constB122, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5195, 1344, 795, 32103, 32100])).
% 136.56/87.21 tff(32105,plain,
% 136.56/87.21 (v121(constB121, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5200, 1362, 795, 4110, 32104])).
% 136.56/87.21 tff(32106,plain,
% 136.56/87.21 (v124(constB121, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5204, 1380, 795, 4156, 32105])).
% 136.56/87.21 tff(32107,plain,
% 136.56/87.21 (~v116(constB121)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5244, 2386, 2164, 795, 32106])).
% 136.56/87.21 tff(32108,plain,
% 136.56/87.21 (v84(constB123, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4667, 4309, 4022, 4013, 4074])).
% 136.56/87.21 tff(32109,plain,
% 136.56/87.21 (v84(constB122, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5160, 32108])).
% 136.56/87.21 tff(32110,plain,
% 136.56/87.21 (v123(constB122, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5215, 1344, 767, 32103, 32109])).
% 136.56/87.21 tff(32111,plain,
% 136.56/87.21 (v121(constB121, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5223, 1362, 767, 4110, 32110])).
% 136.56/87.21 tff(32112,plain,
% 136.56/87.21 (v124(constB121, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5230, 1380, 767, 4156, 32111])).
% 136.56/87.21 tff(32113,plain,
% 136.56/87.21 (~v145(constB121)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5273, 1419, 1416, 767, 32112])).
% 136.56/87.21 tff(32114,plain,
% 136.56/87.21 (~v118(constB121)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[6318, 2030, 2027, 767, 32112])).
% 136.56/87.21 tff(32115,plain,
% 136.56/87.21 (~v115(constB121)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5237, 2030, 2257, 767, 32112])).
% 136.56/87.21 tff(32116,plain,
% 136.56/87.21 (~v123(constB122, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4330, 1674, 823, 32103, 32102])).
% 136.56/87.21 tff(32117,plain,
% 136.56/87.21 (~v121(constB121, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4334, 1708, 823, 4110, 32116])).
% 136.56/87.21 tff(32118,plain,
% 136.56/87.21 (~v124(constB121, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4341, 1728, 823, 4156, 32117])).
% 136.56/87.21 tff(32119,plain,
% 136.56/87.21 (~v172(constB121)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4348, 1801, 1798, 823, 32118])).
% 136.56/87.21 tff(32120,plain,
% 136.56/87.21 (~v113(constB121)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5211, 2386, 2186, 795, 32106])).
% 136.56/87.21 tff(32121,plain,
% 136.56/87.21 (v145(constB121) | v113(constB121) | v118(constB121) | v172(constB121) | v116(constB121) | v115(constB121)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[31897, 2427, 2424, 767, 32112])).
% 136.56/87.21 tff(32122,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32121, 32120, 32119, 32115, 32114, 32113, 32107])).
% 136.56/87.21 tff(32123,plain,(v115(constB123) | v113(constB123) | v145(constB123) | v116(constB123) | v172(constB123) | (~v124(constB123, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32124,plain,
% 136.56/87.21 (v145(constB123)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32123, 32092, 31891, 32076, 31878, 31890])).
% 136.56/87.21 tff(32125,plain,
% 136.56/87.21 (~v124(constB123, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[31973, 32124])).
% 136.56/87.21 tff(32126,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5107, 1380, 795, 3951, 32058, 4878])).
% 136.56/87.21 tff(32127,plain,((~v121(constB123, bitIndex0)) | v124(constB123, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32128,plain,
% 136.56/87.21 (~v121(constB123, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32127, 32125])).
% 136.56/87.21 tff(32129,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5103, 1362, 795, 3912, 4867, 4885])).
% 136.56/87.21 tff(32130,plain,((~v123(constB124, bitIndex0)) | v121(constB123, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32131,plain,
% 136.56/87.21 (~v123(constB124, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32130, 32128])).
% 136.56/87.21 tff(32132,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5098, 1344, 795, 4832, 4482, 4877])).
% 136.56/87.21 tff(32133,plain,((~v84(constB124, bitIndex0)) | (~v94(constB124)) | v123(constB124, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32134,plain,
% 136.56/87.21 (~v84(constB124, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32133, 32131, 4832])).
% 136.56/87.21 tff(32135,plain,
% 136.56/87.21 (~v84(constB125, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5053, 32134])).
% 136.56/87.21 tff(32136,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4555, 788, 4541, 4481])).
% 136.56/87.21 tff(32137,plain,((~v145(constB125)) | v84(constB125, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32138,plain,
% 136.56/87.21 (~v145(constB125)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32137, 32135])).
% 136.56/87.21 tff(32139,plain,
% 136.56/87.21 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB125, bitIndex0) | (~v116(constB125)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB125, bitIndex0) | (~v116(constB125)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32140,plain,
% 136.56/87.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB125, bitIndex0) | (~v116(constB125)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32141,plain,
% 136.56/87.21 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB125, bitIndex0) | (~v116(constB125))),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32140, 32139])).
% 136.56/87.21 tff(32142,plain,
% 136.56/87.21 (~v116(constB125)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32141, 10948, 32135])).
% 136.56/87.21 tff(32143,assumption,(v124(constB123, bitIndex2)), introduced(assumption)).
% 136.56/87.21 tff(32144,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5142, 1419, 1416, 767, 31909, 32143])).
% 136.56/87.21 tff(32145,plain,((~v124(constB123, bitIndex2)) | (~v145(constB123))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32146,plain,
% 136.56/87.21 (~v124(constB123, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32145, 32124])).
% 136.56/87.21 tff(32147,plain,
% 136.56/87.21 (~v121(constB123, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5087, 1380, 767, 3951, 32146])).
% 136.56/87.21 tff(32148,plain,
% 136.56/87.21 (~v123(constB124, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5080, 32147])).
% 136.56/87.21 tff(32149,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5071, 1344, 767, 4832, 4423, 4904])).
% 136.56/87.21 tff(32150,plain,((~v84(constB124, bitIndex2)) | (~v94(constB124)) | v123(constB124, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32151,plain,
% 136.56/87.21 (~v84(constB124, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32150, 32148, 4832])).
% 136.56/87.21 tff(32152,plain,
% 136.56/87.21 (~v84(constB125, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5041, 32151])).
% 136.56/87.21 tff(32153,plain,
% 136.56/87.21 (v115(constB125)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5020, 32152, 32142, 32138])).
% 136.56/87.21 tff(32154,assumption,(v115(constB125)), introduced(assumption)).
% 136.56/87.21 tff(32155,assumption,(v124(constB125, bitIndex2)), introduced(assumption)).
% 136.56/87.21 tff(32156,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB125)) | (~v124(constB125, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB125)) | (~v124(constB125, bitIndex2)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32157,plain,
% 136.56/87.21 (((~v115(constB125)) | (~less_3(bitIndex2)) | (~v124(constB125, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB125)) | (~v124(constB125, bitIndex2)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32158,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB125)) | (~less_3(bitIndex2)) | (~v124(constB125, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB125)) | (~v124(constB125, bitIndex2))))),
% 136.56/87.21 inference(monotonicity,[status(thm)],[32157])).
% 136.56/87.21 tff(32159,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB125)) | (~less_3(bitIndex2)) | (~v124(constB125, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB125)) | (~v124(constB125, bitIndex2)))),
% 136.56/87.21 inference(transitivity,[status(thm)],[32158, 32156])).
% 136.56/87.21 tff(32160,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB125)) | (~less_3(bitIndex2)) | (~v124(constB125, bitIndex2)) | b011(bitIndex2))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32161,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB125)) | (~v124(constB125, bitIndex2))),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32160, 32159])).
% 136.56/87.21 tff(32162,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32161, 2030, 2257, 767, 32155, 32154])).
% 136.56/87.21 tff(32163,plain,((~v124(constB125, bitIndex2)) | (~v115(constB125))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32164,plain,
% 136.56/87.21 (~v124(constB125, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32163, 32153])).
% 136.56/87.21 tff(32165,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex2)) | (~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex2)) | (~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32166,plain,
% 136.56/87.21 ((v26(constB125) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2))) <=> (v26(constB125) | (~less_3(bitIndex2)) | (~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32167,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex2)) | (~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2)))),
% 136.56/87.21 inference(monotonicity,[status(thm)],[32166])).
% 136.56/87.21 tff(32168,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex2)) | (~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2))),
% 136.56/87.21 inference(transitivity,[status(thm)],[32167, 32165])).
% 136.56/87.21 tff(32169,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~v121(constB125, bitIndex2)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32170,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex2)) | (~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2)),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32169, 32168])).
% 136.56/87.21 tff(32171,plain,
% 136.56/87.21 (~v121(constB125, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32170, 1380, 767, 4632, 32164])).
% 136.56/87.21 tff(32172,assumption,(~v121(constB125, bitIndex2)), introduced(assumption)).
% 136.56/87.21 tff(32173,assumption,(v123(constB126, bitIndex2)), introduced(assumption)).
% 136.56/87.21 tff(32174,plain,
% 136.56/87.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex2)) | (~v123(constB126, bitIndex2)) | v121(constB125, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex2)) | (~v123(constB126, bitIndex2)) | v121(constB125, bitIndex2))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32175,plain,
% 136.56/87.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex2)) | (~v123(constB126, bitIndex2)) | v121(constB125, bitIndex2))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32176,plain,
% 136.56/87.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex2)) | (~v123(constB126, bitIndex2)) | v121(constB125, bitIndex2)),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32175, 32174])).
% 136.56/87.21 tff(32177,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32176, 1362, 767, 4606, 32173, 32172])).
% 136.56/87.21 tff(32178,plain,((~v123(constB126, bitIndex2)) | v121(constB125, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32179,plain,
% 136.56/87.21 (~v123(constB126, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32178, 32171])).
% 136.56/87.21 tff(32180,assumption,(~v116(constB127)), introduced(assumption)).
% 136.56/87.21 tff(32181,assumption,(v94(constB126)), introduced(assumption)).
% 136.56/87.21 tff(32182,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4849, 1728, 823, 3951, 32093, 31919])).
% 136.56/87.21 tff(32183,plain,(v121(constB123, bitIndex1) | (~v124(constB123, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32184,plain,
% 136.56/87.21 (v121(constB123, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32183, 32076])).
% 136.56/87.21 tff(32185,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4842, 1708, 823, 3912, 4979, 31923])).
% 136.56/87.21 tff(32186,plain,(v123(constB124, bitIndex1) | (~v121(constB123, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32187,plain,
% 136.56/87.21 (v123(constB124, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32186, 32184])).
% 136.56/87.21 tff(32188,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4838, 1674, 823, 4832, 3996, 31918])).
% 136.56/87.21 tff(32189,plain,(v84(constB124, bitIndex1) | (~v94(constB124)) | (~v123(constB124, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32190,plain,
% 136.56/87.21 (v84(constB124, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32189, 32187, 4832])).
% 136.56/87.21 tff(32191,plain,
% 136.56/87.21 (v84(constB125, bitIndex1)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4504, 32190])).
% 136.56/87.21 tff(32192,plain,
% 136.56/87.21 (~v172(constB125)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4508, 2289, 32191])).
% 136.56/87.21 tff(32193,assumption,(~v124(constB125, bitIndex0)), introduced(assumption)).
% 136.56/87.21 tff(32194,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB125)) | v124(constB125, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB125)) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32195,plain,
% 136.56/87.21 (((~v115(constB125)) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB125)) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32196,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB125)) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB125)) | v124(constB125, bitIndex0)))),
% 136.56/87.21 inference(monotonicity,[status(thm)],[32195])).
% 136.56/87.21 tff(32197,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB125)) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB125)) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(transitivity,[status(thm)],[32196, 32194])).
% 136.56/87.21 tff(32198,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB125)) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b011(bitIndex0)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32199,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB125)) | v124(constB125, bitIndex0)),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32198, 32197])).
% 136.56/87.21 tff(32200,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32199, 1148, 1193, 795, 32193, 32154])).
% 136.56/87.21 tff(32201,plain,(v124(constB125, bitIndex0) | (~v115(constB125))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32202,plain,
% 136.56/87.21 (~v115(constB125)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32201, 32193])).
% 136.56/87.21 tff(32203,plain,
% 136.56/87.21 (v84(constB125, bitIndex2)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[5020, 5002, 5011, 4821])).
% 136.56/87.21 tff(32204,plain,
% 136.56/87.21 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB125)) | (~v84(constB125, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB125)) | (~v84(constB125, bitIndex2)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32205,plain,
% 136.56/87.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB125)) | (~v84(constB125, bitIndex2)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32206,plain,
% 136.56/87.21 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB125)) | (~v84(constB125, bitIndex2))),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32205, 32204])).
% 136.56/87.21 tff(32207,plain,
% 136.56/87.21 (~v113(constB125)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32206, 1119, 32203])).
% 136.56/87.21 tff(32208,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB125) | v113(constB125) | v118(constB125) | v172(constB125) | v116(constB125) | v115(constB125) | v124(constB125, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB125) | v113(constB125) | v118(constB125) | v172(constB125) | v116(constB125) | v115(constB125) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32209,plain,
% 136.56/87.21 ((v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB125) | v113(constB125) | v118(constB125) | v172(constB125) | v116(constB125) | v115(constB125) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32210,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB125) | v113(constB125) | v118(constB125) | v172(constB125) | v116(constB125) | v115(constB125) | v124(constB125, bitIndex0)))),
% 136.56/87.21 inference(monotonicity,[status(thm)],[32209])).
% 136.56/87.21 tff(32211,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB125) | v113(constB125) | v118(constB125) | v172(constB125) | v116(constB125) | v115(constB125) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(transitivity,[status(thm)],[32210, 32208])).
% 136.56/87.21 tff(32212,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB125) | v145(constB125) | v115(constB125) | v116(constB125) | v172(constB125) | v118(constB125) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b001(bitIndex0)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32213,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | (~b001(bitIndex0)) | v145(constB125) | v113(constB125) | v118(constB125) | v172(constB125) | v116(constB125) | v115(constB125) | v124(constB125, bitIndex0)),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32212, 32211])).
% 136.56/87.21 tff(32214,plain,
% 136.56/87.21 (v118(constB125)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32213, 1213, 1210, 795, 4821, 5002, 32193, 5011, 21134, 32207])).
% 136.56/87.21 tff(32215,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB125)) | v124(constB125, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB125)) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32216,plain,
% 136.56/87.21 (((~v118(constB125)) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB125)) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32217,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB125)) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB125)) | v124(constB125, bitIndex0)))),
% 136.56/87.21 inference(monotonicity,[status(thm)],[32216])).
% 136.56/87.21 tff(32218,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB125)) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB125)) | v124(constB125, bitIndex0))),
% 136.56/87.21 inference(transitivity,[status(thm)],[32217, 32215])).
% 136.56/87.21 tff(32219,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB125)) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~b011(bitIndex0)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32220,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB125)) | v124(constB125, bitIndex0)),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32219, 32218])).
% 136.56/87.21 tff(32221,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32220, 1148, 1145, 795, 32193, 32214])).
% 136.56/87.21 tff(32222,plain,(v124(constB125, bitIndex0) | v145(constB125) | v116(constB125) | v115(constB125) | v172(constB125)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32223,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32222, 32202, 32193, 4821, 5002, 21134])).
% 136.56/87.21 tff(32224,plain,(v124(constB125, bitIndex0) | v145(constB125) | v116(constB125) | v172(constB125)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32225,plain,
% 136.56/87.21 (v124(constB125, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32224, 32138, 32142, 32192])).
% 136.56/87.21 tff(32226,assumption,(~v121(constB125, bitIndex0)), introduced(assumption)).
% 136.56/87.21 tff(32227,assumption,(v124(constB125, bitIndex0)), introduced(assumption)).
% 136.56/87.21 tff(32228,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32229,plain,
% 136.56/87.21 ((v26(constB125) | v121(constB125, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0))) <=> (v26(constB125) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32230,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)))),
% 136.56/87.21 inference(monotonicity,[status(thm)],[32229])).
% 136.56/87.21 tff(32231,plain,
% 136.56/87.21 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0))),
% 136.56/87.21 inference(transitivity,[status(thm)],[32230, 32228])).
% 136.56/87.21 tff(32232,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32233,plain,
% 136.56/87.21 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | v121(constB125, bitIndex0)),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32232, 32231])).
% 136.56/87.21 tff(32234,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32233, 1728, 795, 4632, 32227, 32226])).
% 136.56/87.21 tff(32235,plain,(v121(constB125, bitIndex0) | (~v124(constB125, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32236,plain,
% 136.56/87.21 (v121(constB125, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32235, 32225])).
% 136.56/87.21 tff(32237,assumption,(v121(constB125, bitIndex0)), introduced(assumption)).
% 136.56/87.21 tff(32238,assumption,(~v123(constB126, bitIndex0)), introduced(assumption)).
% 136.56/87.21 tff(32239,plain,
% 136.56/87.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex0)) | v123(constB126, bitIndex0) | (~v121(constB125, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex0)) | v123(constB126, bitIndex0) | (~v121(constB125, bitIndex0)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32240,plain,
% 136.56/87.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex0)) | v123(constB126, bitIndex0) | (~v121(constB125, bitIndex0)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32241,plain,
% 136.56/87.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex0)) | v123(constB126, bitIndex0) | (~v121(constB125, bitIndex0))),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32240, 32239])).
% 136.56/87.21 tff(32242,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32241, 1708, 795, 4606, 32238, 32237])).
% 136.56/87.21 tff(32243,plain,(v123(constB126, bitIndex0) | (~v121(constB125, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32244,plain,
% 136.56/87.21 (v123(constB126, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32243, 32236])).
% 136.56/87.21 tff(32245,assumption,(v123(constB126, bitIndex0)), introduced(assumption)).
% 136.56/87.21 tff(32246,plain,
% 136.56/87.21 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB126)) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32247,plain,
% 136.56/87.21 (((~less_3(bitIndex0)) | (~v94(constB126)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0))) <=> ((~v94(constB126)) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)))),
% 136.56/87.21 inference(rewrite,[status(thm)],[])).
% 136.56/87.21 tff(32248,plain,
% 136.56/87.21 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB126)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB126)) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0))))),
% 136.56/87.21 inference(monotonicity,[status(thm)],[32247])).
% 136.56/87.21 tff(32249,plain,
% 136.56/87.21 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB126)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)))),
% 136.56/87.21 inference(transitivity,[status(thm)],[32248, 32246])).
% 136.56/87.21 tff(32250,plain,
% 136.56/87.21 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB126)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0)))),
% 136.56/87.21 inference(quant_inst,[status(thm)],[])).
% 136.56/87.21 tff(32251,plain,
% 136.56/87.21 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex0)) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0))),
% 136.56/87.21 inference(modus_ponens,[status(thm)],[32250, 32249])).
% 136.56/87.21 tff(32252,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32251, 1674, 795, 32181, 4728, 32245])).
% 136.56/87.21 tff(32253,plain,(v84(constB126, bitIndex0) | (~v94(constB126)) | (~v123(constB126, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.21 tff(32254,plain,
% 136.56/87.21 (v84(constB126, bitIndex0)),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[32253, 32244, 32181])).
% 136.56/87.21 tff(32255,plain,
% 136.56/87.21 ($false),
% 136.56/87.21 inference(unit_resolution,[status(thm)],[4693, 777, 795, 4678, 4690, 5043, 4647])).
% 136.56/87.22 tff(32256,plain,(v84(constB127, bitIndex0) | (~v84(constB126, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32257,plain,
% 136.56/87.22 (v84(constB127, bitIndex0)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32256, 32254])).
% 136.56/87.22 tff(32258,assumption,(~v124(constB125, bitIndex1)), introduced(assumption)).
% 136.56/87.22 tff(32259,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB125)) | v124(constB125, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB125)) | v124(constB125, bitIndex1))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32260,plain,
% 136.56/87.22 (((~v115(constB125)) | (~less_3(bitIndex1)) | v124(constB125, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB125)) | v124(constB125, bitIndex1))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32261,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB125)) | (~less_3(bitIndex1)) | v124(constB125, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB125)) | v124(constB125, bitIndex1)))),
% 136.56/87.22 inference(monotonicity,[status(thm)],[32260])).
% 136.56/87.22 tff(32262,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB125)) | (~less_3(bitIndex1)) | v124(constB125, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB125)) | v124(constB125, bitIndex1))),
% 136.56/87.22 inference(transitivity,[status(thm)],[32261, 32259])).
% 136.56/87.22 tff(32263,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB125)) | (~less_3(bitIndex1)) | v124(constB125, bitIndex1) | (~b011(bitIndex1)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32264,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~b011(bitIndex1)) | (~v115(constB125)) | v124(constB125, bitIndex1)),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32263, 32262])).
% 136.56/87.22 tff(32265,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32264, 3033, 1193, 823, 32258, 32154])).
% 136.56/87.22 tff(32266,plain,((~v115(constB125)) | v124(constB125, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32267,plain,
% 136.56/87.22 (v124(constB125, bitIndex1)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32266, 32153])).
% 136.56/87.22 tff(32268,assumption,(~v121(constB125, bitIndex1)), introduced(assumption)).
% 136.56/87.22 tff(32269,assumption,(v124(constB125, bitIndex1)), introduced(assumption)).
% 136.56/87.22 tff(32270,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex1)) | v121(constB125, bitIndex1) | (~v124(constB125, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex1)) | v121(constB125, bitIndex1) | (~v124(constB125, bitIndex1)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32271,plain,
% 136.56/87.22 ((v26(constB125) | v121(constB125, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB125, bitIndex1))) <=> (v26(constB125) | (~less_3(bitIndex1)) | v121(constB125, bitIndex1) | (~v124(constB125, bitIndex1)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32272,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB125, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex1)) | v121(constB125, bitIndex1) | (~v124(constB125, bitIndex1))))),
% 136.56/87.22 inference(monotonicity,[status(thm)],[32271])).
% 136.56/87.22 tff(32273,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB125, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex1)) | v121(constB125, bitIndex1) | (~v124(constB125, bitIndex1)))),
% 136.56/87.22 inference(transitivity,[status(thm)],[32272, 32270])).
% 136.56/87.22 tff(32274,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB125, bitIndex1)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32275,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex1)) | v121(constB125, bitIndex1) | (~v124(constB125, bitIndex1))),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32274, 32273])).
% 136.56/87.22 tff(32276,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32275, 1728, 823, 4632, 32269, 32268])).
% 136.56/87.22 tff(32277,plain,(v121(constB125, bitIndex1) | (~v124(constB125, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32278,plain,
% 136.56/87.22 (v121(constB125, bitIndex1)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32277, 32267])).
% 136.56/87.22 tff(32279,assumption,(~v123(constB126, bitIndex1)), introduced(assumption)).
% 136.56/87.22 tff(32280,assumption,(v121(constB125, bitIndex1)), introduced(assumption)).
% 136.56/87.22 tff(32281,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex1)) | v123(constB126, bitIndex1) | (~v121(constB125, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex1)) | v123(constB126, bitIndex1) | (~v121(constB125, bitIndex1)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32282,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex1)) | v123(constB126, bitIndex1) | (~v121(constB125, bitIndex1)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32283,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex1)) | v123(constB126, bitIndex1) | (~v121(constB125, bitIndex1))),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32282, 32281])).
% 136.56/87.22 tff(32284,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32283, 1708, 823, 4606, 32280, 32279])).
% 136.56/87.22 tff(32285,plain,(v123(constB126, bitIndex1) | (~v121(constB125, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32286,plain,
% 136.56/87.22 (v123(constB126, bitIndex1)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32285, 32278])).
% 136.56/87.22 tff(32287,assumption,(v123(constB126, bitIndex1)), introduced(assumption)).
% 136.56/87.22 tff(32288,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB126)) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32289,plain,
% 136.56/87.22 (((~less_3(bitIndex1)) | (~v94(constB126)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1))) <=> ((~v94(constB126)) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32290,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB126)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB126)) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1))))),
% 136.56/87.22 inference(monotonicity,[status(thm)],[32289])).
% 136.56/87.22 tff(32291,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB126)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)))),
% 136.56/87.22 inference(transitivity,[status(thm)],[32290, 32288])).
% 136.56/87.22 tff(32292,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB126)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32293,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex1)) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1))),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32292, 32291])).
% 136.56/87.22 tff(32294,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32293, 1674, 823, 32181, 4601, 32287])).
% 136.56/87.22 tff(32295,plain,(v84(constB126, bitIndex1) | (~v94(constB126)) | (~v123(constB126, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32296,plain,
% 136.56/87.22 (v84(constB126, bitIndex1)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32295, 32286, 32181])).
% 136.56/87.22 tff(32297,plain,
% 136.56/87.22 (v84(constB127, bitIndex1)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[21161, 32296])).
% 136.56/87.22 tff(32298,plain,
% 136.56/87.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | (~v84(constB127, bitIndex0)) | v116(constB127))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | (~v84(constB127, bitIndex0)) | v116(constB127))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32299,plain,
% 136.56/87.22 (((~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127)) <=> ((~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | (~v84(constB127, bitIndex0)) | v116(constB127))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32300,plain,
% 136.56/87.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | (~v84(constB127, bitIndex0)) | v116(constB127)))),
% 136.56/87.22 inference(monotonicity,[status(thm)],[32299])).
% 136.56/87.22 tff(32301,plain,
% 136.56/87.22 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | (~v84(constB127, bitIndex0)) | v116(constB127))),
% 136.56/87.22 inference(transitivity,[status(thm)],[32300, 32298])).
% 136.56/87.22 tff(32302,plain,
% 136.56/87.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | v116(constB127))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32303,plain,
% 136.56/87.22 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB127, bitIndex1)) | v84(constB127, bitIndex2) | (~v84(constB127, bitIndex0)) | v116(constB127)),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32302, 32301])).
% 136.56/87.22 tff(32304,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32303, 1076, 4727, 21164, 21289, 32180])).
% 136.56/87.22 tff(32305,plain,(v84(constB127, bitIndex2) | (~v84(constB127, bitIndex0)) | (~v84(constB127, bitIndex1)) | v116(constB127)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32306,plain,
% 136.56/87.22 (v84(constB127, bitIndex2)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32305, 32297, 32257, 32180])).
% 136.56/87.22 tff(32307,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB126, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB126, bitIndex2))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32308,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB126, bitIndex2))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32309,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB126, constB127)) | v94(constB127) | (~less_3(bitIndex2)) | (~v84(constB127, bitIndex2)) | v84(constB126, bitIndex2)),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32308, 32307])).
% 136.56/87.22 tff(32310,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32309, 805, 767, 4678, 4690, 4806, 21407])).
% 136.56/87.22 tff(32311,plain,((~v84(constB127, bitIndex2)) | v84(constB126, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32312,plain,
% 136.56/87.22 (v84(constB126, bitIndex2)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32311, 32306])).
% 136.56/87.22 tff(32313,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB126)) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB126)) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32314,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB126)) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32315,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB126)) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2)),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32314, 32313])).
% 136.56/87.22 tff(32316,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32315, 1344, 767, 32181, 32312, 32179])).
% 136.56/87.22 tff(32317,plain,(v94(constB108) | (~v94(constB126)) | v116(constB127) | (~v94(constB124))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32318,plain,
% 136.56/87.22 (v116(constB127)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32317, 31782, 6560, 31778])).
% 136.56/87.22 tff(32319,plain,
% 136.56/87.22 (~v84(constB127, bitIndex2)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[21218, 1130, 32318])).
% 136.56/87.22 tff(32320,plain,
% 136.56/87.22 (~v84(constB126, bitIndex2)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[21169, 32319])).
% 136.56/87.22 tff(32321,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB126)) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32322,plain,
% 136.56/87.22 (((~less_3(bitIndex2)) | (~v94(constB126)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2))) <=> ((~v94(constB126)) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32323,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB126)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB126)) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2))))),
% 136.56/87.22 inference(monotonicity,[status(thm)],[32322])).
% 136.56/87.22 tff(32324,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB126)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 136.56/87.22 inference(transitivity,[status(thm)],[32323, 32321])).
% 136.56/87.22 tff(32325,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB126)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32326,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB126)) | (~less_3(bitIndex2)) | v84(constB126, bitIndex2) | (~v123(constB126, bitIndex2))),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32325, 32324])).
% 136.56/87.22 tff(32327,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32326, 1674, 767, 32181, 4806, 32173])).
% 136.56/87.22 tff(32328,plain,(v84(constB126, bitIndex2) | (~v94(constB126)) | (~v123(constB126, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32329,plain,
% 136.56/87.22 (~v123(constB126, bitIndex2)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32328, 32320, 31782])).
% 136.56/87.22 tff(32330,assumption,(~v123(constB126, bitIndex2)), introduced(assumption)).
% 136.56/87.22 tff(32331,assumption,(v121(constB125, bitIndex2)), introduced(assumption)).
% 136.56/87.22 tff(32332,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex2)) | v123(constB126, bitIndex2) | (~v121(constB125, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex2)) | v123(constB126, bitIndex2) | (~v121(constB125, bitIndex2)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32333,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex2)) | v123(constB126, bitIndex2) | (~v121(constB125, bitIndex2)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32334,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex2)) | v123(constB126, bitIndex2) | (~v121(constB125, bitIndex2))),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32333, 32332])).
% 136.56/87.22 tff(32335,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32334, 1708, 767, 4606, 32331, 32330])).
% 136.56/87.22 tff(32336,plain,(v123(constB126, bitIndex2) | (~v121(constB125, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32337,plain,
% 136.56/87.22 (~v121(constB125, bitIndex2)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32336, 32329])).
% 136.56/87.22 tff(32338,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex2)) | v121(constB125, bitIndex2) | (~v124(constB125, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex2)) | v121(constB125, bitIndex2) | (~v124(constB125, bitIndex2)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32339,plain,
% 136.56/87.22 ((v26(constB125) | v121(constB125, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB125, bitIndex2))) <=> (v26(constB125) | (~less_3(bitIndex2)) | v121(constB125, bitIndex2) | (~v124(constB125, bitIndex2)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32340,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB125, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex2)) | v121(constB125, bitIndex2) | (~v124(constB125, bitIndex2))))),
% 136.56/87.22 inference(monotonicity,[status(thm)],[32339])).
% 136.56/87.22 tff(32341,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB125, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex2)) | v121(constB125, bitIndex2) | (~v124(constB125, bitIndex2)))),
% 136.56/87.22 inference(transitivity,[status(thm)],[32340, 32338])).
% 136.56/87.22 tff(32342,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB125) | v121(constB125, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB125, bitIndex2)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32343,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex2)) | v121(constB125, bitIndex2) | (~v124(constB125, bitIndex2))),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32342, 32341])).
% 136.56/87.22 tff(32344,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32343, 1728, 767, 4632, 32155, 32172])).
% 136.56/87.22 tff(32345,plain,(v121(constB125, bitIndex2) | (~v124(constB125, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32346,plain,
% 136.56/87.22 (~v124(constB125, bitIndex2)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32345, 32337])).
% 136.56/87.22 tff(32347,assumption,(~v124(constB125, bitIndex2)), introduced(assumption)).
% 136.56/87.22 tff(32348,assumption,(v116(constB125)), introduced(assumption)).
% 136.56/87.22 tff(32349,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB125)) | v124(constB125, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB125)) | v124(constB125, bitIndex2))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32350,plain,
% 136.56/87.22 (((~v116(constB125)) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB125)) | v124(constB125, bitIndex2))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32351,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB125)) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB125)) | v124(constB125, bitIndex2)))),
% 136.56/87.22 inference(monotonicity,[status(thm)],[32350])).
% 136.56/87.22 tff(32352,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB125)) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB125)) | v124(constB125, bitIndex2))),
% 136.56/87.22 inference(transitivity,[status(thm)],[32351, 32349])).
% 136.56/87.22 tff(32353,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB125)) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~b100(bitIndex2)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32354,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB125)) | v124(constB125, bitIndex2)),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32353, 32352])).
% 136.56/87.22 tff(32355,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32354, 1772, 1769, 767, 32348, 32347])).
% 136.56/87.22 tff(32356,plain,(v124(constB125, bitIndex2) | (~v116(constB125))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32357,plain,
% 136.56/87.22 (~v116(constB125)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32356, 32346])).
% 136.56/87.22 tff(32358,plain,
% 136.56/87.22 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB127, bitIndex0) | (~v116(constB127)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB127, bitIndex0) | (~v116(constB127)))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32359,plain,
% 136.56/87.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB127, bitIndex0) | (~v116(constB127)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32360,plain,
% 136.56/87.22 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB127, bitIndex0) | (~v116(constB127))),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32359, 32358])).
% 136.56/87.22 tff(32361,plain,
% 136.56/87.22 (v84(constB127, bitIndex0)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32360, 10948, 32318])).
% 136.56/87.22 tff(32362,plain,
% 136.56/87.22 (v84(constB126, bitIndex0)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[4733, 32361])).
% 136.56/87.22 tff(32363,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB126)) | (~v84(constB126, bitIndex0)) | v123(constB126, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB126)) | (~v84(constB126, bitIndex0)) | v123(constB126, bitIndex0))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32364,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB126)) | (~v84(constB126, bitIndex0)) | v123(constB126, bitIndex0))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32365,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB126)) | (~v84(constB126, bitIndex0)) | v123(constB126, bitIndex0)),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32364, 32363])).
% 136.56/87.22 tff(32366,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32365, 1344, 795, 32181, 5043, 32238])).
% 136.56/87.22 tff(32367,plain,((~v84(constB126, bitIndex0)) | (~v94(constB126)) | v123(constB126, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32368,plain,
% 136.56/87.22 (v123(constB126, bitIndex0)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32367, 32362, 31782])).
% 136.56/87.22 tff(32369,plain,
% 136.56/87.22 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex0)) | (~v123(constB126, bitIndex0)) | v121(constB125, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex0)) | (~v123(constB126, bitIndex0)) | v121(constB125, bitIndex0))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32370,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB125, constB126)) | (~less_3(bitIndex0)) | (~v123(constB126, bitIndex0)) | v121(constB125, bitIndex0))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32371,plain,
% 136.56/87.22 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB125, constB126)) | (~less_3(bitIndex0)) | (~v123(constB126, bitIndex0)) | v121(constB125, bitIndex0)),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32370, 32369])).
% 136.56/87.22 tff(32372,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32371, 1362, 795, 4606, 32226, 32245])).
% 136.56/87.22 tff(32373,plain,((~v123(constB126, bitIndex0)) | v121(constB125, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32374,plain,
% 136.56/87.22 (v121(constB125, bitIndex0)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32373, 32368])).
% 136.56/87.22 tff(32375,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex0)) | (~v121(constB125, bitIndex0)) | v124(constB125, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex0)) | (~v121(constB125, bitIndex0)) | v124(constB125, bitIndex0))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32376,plain,
% 136.56/87.22 ((v26(constB125) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~v121(constB125, bitIndex0))) <=> (v26(constB125) | (~less_3(bitIndex0)) | (~v121(constB125, bitIndex0)) | v124(constB125, bitIndex0))),
% 136.56/87.22 inference(rewrite,[status(thm)],[])).
% 136.56/87.22 tff(32377,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~v121(constB125, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex0)) | (~v121(constB125, bitIndex0)) | v124(constB125, bitIndex0)))),
% 136.56/87.22 inference(monotonicity,[status(thm)],[32376])).
% 136.56/87.22 tff(32378,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~v121(constB125, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex0)) | (~v121(constB125, bitIndex0)) | v124(constB125, bitIndex0))),
% 136.56/87.22 inference(transitivity,[status(thm)],[32377, 32375])).
% 136.56/87.22 tff(32379,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB125) | (~less_3(bitIndex0)) | v124(constB125, bitIndex0) | (~v121(constB125, bitIndex0)))),
% 136.56/87.22 inference(quant_inst,[status(thm)],[])).
% 136.56/87.22 tff(32380,plain,
% 136.56/87.22 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB125) | (~less_3(bitIndex0)) | (~v121(constB125, bitIndex0)) | v124(constB125, bitIndex0)),
% 136.56/87.22 inference(modus_ponens,[status(thm)],[32379, 32378])).
% 136.56/87.22 tff(32381,plain,
% 136.56/87.22 ($false),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32380, 1380, 795, 4632, 32193, 32237])).
% 136.56/87.22 tff(32382,plain,((~v121(constB125, bitIndex0)) | v124(constB125, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.22 tff(32383,plain,
% 136.56/87.22 (v124(constB125, bitIndex0)),
% 136.56/87.22 inference(unit_resolution,[status(thm)],[32382, 32374])).
% 136.56/87.22 tff(32384,plain,
% 136.56/87.22 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB125)) | (~v124(constB125, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB125)) | (~v124(constB125, bitIndex0)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32385,plain,
% 136.56/87.23 (((~v145(constB125)) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB125)) | (~v124(constB125, bitIndex0)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32386,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB125)) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB125)) | (~v124(constB125, bitIndex0))))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32385])).
% 136.56/87.23 tff(32387,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB125)) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB125)) | (~v124(constB125, bitIndex0)))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32386, 32384])).
% 136.56/87.23 tff(32388,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB125)) | (~less_3(bitIndex0)) | (~v124(constB125, bitIndex0)) | b010(bitIndex0))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32389,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB125)) | (~v124(constB125, bitIndex0))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32388, 32387])).
% 136.56/87.23 tff(32390,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32389, 2299, 1416, 795, 4541, 32227])).
% 136.56/87.23 tff(32391,plain,((~v124(constB125, bitIndex0)) | (~v145(constB125))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32392,plain,
% 136.56/87.23 (~v145(constB125)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32391, 32383])).
% 136.56/87.23 tff(32393,assumption,(v172(constB125)), introduced(assumption)).
% 136.56/87.23 tff(32394,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB125)) | v124(constB125, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB125)) | v124(constB125, bitIndex2))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32395,plain,
% 136.56/87.23 (((~v172(constB125)) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB125)) | v124(constB125, bitIndex2))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32396,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB125)) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB125)) | v124(constB125, bitIndex2)))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32395])).
% 136.56/87.23 tff(32397,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB125)) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB125)) | v124(constB125, bitIndex2))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32396, 32394])).
% 136.56/87.23 tff(32398,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB125)) | (~less_3(bitIndex2)) | v124(constB125, bitIndex2) | (~b110(bitIndex2)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32399,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB125)) | v124(constB125, bitIndex2)),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32398, 32397])).
% 136.56/87.23 tff(32400,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32399, 2066, 1798, 767, 32347, 32393])).
% 136.56/87.23 tff(32401,plain,(v124(constB125, bitIndex2) | (~v172(constB125))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32402,plain,
% 136.56/87.23 (~v172(constB125)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32401, 32346])).
% 136.56/87.23 tff(32403,plain,
% 136.56/87.23 (~v172(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31938, 3996])).
% 136.56/87.23 tff(32404,plain,
% 136.56/87.23 (v84(constB125, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4965, 4498, 4832, 4821])).
% 136.56/87.23 tff(32405,plain,
% 136.56/87.23 (v84(constB125, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21137, 1047, 32404, 4498, 21134])).
% 136.56/87.23 tff(32406,plain,
% 136.56/87.23 (v84(constB124, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5053, 32405])).
% 136.56/87.23 tff(32407,plain,
% 136.56/87.23 (v123(constB124, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5098, 1344, 795, 4832, 32406])).
% 136.56/87.23 tff(32408,plain,
% 136.56/87.23 (v121(constB123, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32130, 32407])).
% 136.56/87.23 tff(32409,plain,
% 136.56/87.23 (v124(constB123, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5107, 1380, 795, 3951, 32408])).
% 136.56/87.23 tff(32410,plain,
% 136.56/87.23 (v84(constB124, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5041, 32404])).
% 136.56/87.23 tff(32411,plain,
% 136.56/87.23 (v123(constB124, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5071, 1344, 767, 4832, 32410])).
% 136.56/87.23 tff(32412,plain,
% 136.56/87.23 (v121(constB123, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5080, 32411])).
% 136.56/87.23 tff(32413,plain,
% 136.56/87.23 (v124(constB123, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5087, 1380, 767, 3951, 32412])).
% 136.56/87.23 tff(32414,plain,
% 136.56/87.23 (~v115(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5128, 2030, 2257, 767, 32413])).
% 136.56/87.23 tff(32415,plain,
% 136.56/87.23 (~v113(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31889, 32414])).
% 136.56/87.23 tff(32416,plain,
% 136.56/87.23 (~v145(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5142, 1419, 1416, 767, 32413])).
% 136.56/87.23 tff(32417,plain,
% 136.56/87.23 (~v124(constB123, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32123, 4048, 4309, 4013, 4074, 4022])).
% 136.56/87.23 tff(32418,plain,
% 136.56/87.23 (~v118(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4856, 3033, 1145, 823, 32417])).
% 136.56/87.23 tff(32419,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex2)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32420,plain,
% 136.56/87.23 ((v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex2)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32421,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex2))))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32420])).
% 136.56/87.23 tff(32422,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex2)))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32421, 32419])).
% 136.56/87.23 tff(32423,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB123) | v145(constB123) | v115(constB123) | v116(constB123) | v172(constB123) | v118(constB123) | (~less_3(bitIndex2)) | (~v124(constB123, bitIndex2)) | b001(bitIndex2))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32424,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB123) | v113(constB123) | v118(constB123) | v172(constB123) | v116(constB123) | v115(constB123) | (~v124(constB123, bitIndex2))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32423, 32422])).
% 136.56/87.23 tff(32425,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32424, 2427, 2424, 767, 4013, 4022, 4309, 4074, 4048, 32143, 32418])).
% 136.56/87.23 tff(32426,plain,((~v124(constB123, bitIndex2)) | v145(constB123) | v113(constB123) | v115(constB123) | v116(constB123) | v172(constB123)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32427,plain,
% 136.56/87.23 (v116(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32426, 32414, 4048, 32413, 32416, 32415])).
% 136.56/87.23 tff(32428,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5121, 2386, 2164, 795, 32427, 32409])).
% 136.56/87.23 tff(32429,plain,(v84(constB125, bitIndex1) | v172(constB123) | (~v94(constB124)) | v172(constB125) | v145(constB125)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32430,plain,
% 136.56/87.23 (v84(constB125, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32429, 32403, 4832, 21134, 4821])).
% 136.56/87.23 tff(32431,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4969, 805, 823, 4429, 4441, 3996, 32430])).
% 136.56/87.23 tff(32432,plain,(v84(constB124, bitIndex1) | (~v94(constB124)) | v172(constB125) | v145(constB125)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32433,plain,
% 136.56/87.23 (v84(constB124, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32432, 32402, 32392, 31778])).
% 136.56/87.23 tff(32434,plain,
% 136.56/87.23 (v84(constB125, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4504, 32433])).
% 136.56/87.23 tff(32435,plain,
% 136.56/87.23 (v123(constB124, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31925, 4499, 4832])).
% 136.56/87.23 tff(32436,plain,
% 136.56/87.23 (v121(constB123, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31921, 32435])).
% 136.56/87.23 tff(32437,plain,
% 136.56/87.23 (v124(constB123, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4988, 32436])).
% 136.56/87.23 tff(32438,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB123)) | (~v124(constB123, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB123)) | (~v124(constB123, bitIndex1)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32439,plain,
% 136.56/87.23 (((~v113(constB123)) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB123)) | (~v124(constB123, bitIndex1)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32440,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB123)) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB123)) | (~v124(constB123, bitIndex1))))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32439])).
% 136.56/87.23 tff(32441,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB123)) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB123)) | (~v124(constB123, bitIndex1)))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32440, 32438])).
% 136.56/87.23 tff(32442,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB123)) | (~less_3(bitIndex1)) | (~v124(constB123, bitIndex1)) | b100(bitIndex1))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32443,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB123)) | (~v124(constB123, bitIndex1))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32442, 32441])).
% 136.56/87.23 tff(32444,plain,
% 136.56/87.23 (~v113(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32443, 2167, 2186, 823, 32437])).
% 136.56/87.23 tff(32445,plain,
% 136.56/87.23 (~v116(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4995, 2167, 2164, 823, 32437])).
% 136.56/87.23 tff(32446,plain,
% 136.56/87.23 (~v84(constB124, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5151, 4423, 4832, 4499])).
% 136.56/87.23 tff(32447,plain,
% 136.56/87.23 (~v123(constB124, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4875, 32446, 4832])).
% 136.56/87.23 tff(32448,plain,
% 136.56/87.23 (~v121(constB123, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4883, 32447])).
% 136.56/87.23 tff(32449,plain,
% 136.56/87.23 (~v124(constB123, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4894, 32448])).
% 136.56/87.23 tff(32450,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB123)) | v124(constB123, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB123)) | v124(constB123, bitIndex0))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32451,plain,
% 136.56/87.23 (((~v115(constB123)) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB123)) | v124(constB123, bitIndex0))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32452,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB123)) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB123)) | v124(constB123, bitIndex0)))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32451])).
% 136.56/87.23 tff(32453,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB123)) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB123)) | v124(constB123, bitIndex0))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32452, 32450])).
% 136.56/87.23 tff(32454,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB123)) | (~less_3(bitIndex0)) | v124(constB123, bitIndex0) | (~b011(bitIndex0)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32455,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB123)) | v124(constB123, bitIndex0)),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32454, 32453])).
% 136.56/87.23 tff(32456,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32455, 1148, 1193, 795, 31862, 32058])).
% 136.56/87.23 tff(32457,plain,(v124(constB123, bitIndex0) | (~v115(constB123))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32458,plain,
% 136.56/87.23 (~v115(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32457, 32449])).
% 136.56/87.23 tff(32459,plain,
% 136.56/87.23 (v123(constB124, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32150, 4423, 4832])).
% 136.56/87.23 tff(32460,plain,
% 136.56/87.23 (v121(constB123, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5080, 32459])).
% 136.56/87.23 tff(32461,plain,
% 136.56/87.23 (v124(constB123, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5087, 1380, 767, 3951, 32460])).
% 136.56/87.23 tff(32462,plain,
% 136.56/87.23 (~v145(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32145, 32461])).
% 136.56/87.23 tff(32463,plain,
% 136.56/87.23 (v172(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32123, 32462, 32458, 32437, 32445, 32444])).
% 136.56/87.23 tff(32464,plain,
% 136.56/87.23 (~v84(constB123, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32091, 32463])).
% 136.56/87.23 tff(32465,plain,
% 136.56/87.23 (~v84(constB122, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4355, 32464])).
% 136.56/87.23 tff(32466,plain,
% 136.56/87.23 (~v84(constB123, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4650, 2289, 32463])).
% 136.56/87.23 tff(32467,plain,
% 136.56/87.23 (~v84(constB122, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4323, 32466])).
% 136.56/87.23 tff(32468,plain,
% 136.56/87.23 (v94(constB122)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4229, 32467])).
% 136.56/87.23 tff(32469,plain,
% 136.56/87.23 (~v123(constB122, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4362, 1674, 795, 32468, 32465])).
% 136.56/87.23 tff(32470,plain,
% 136.56/87.23 (~v121(constB121, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4367, 1708, 795, 4110, 32469])).
% 136.56/87.23 tff(32471,plain,
% 136.56/87.23 (~v124(constB121, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4374, 1728, 795, 4156, 32470])).
% 136.56/87.23 tff(32472,plain,
% 136.56/87.23 (~v115(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4388, 1148, 1193, 795, 32471])).
% 136.56/87.23 tff(32473,plain,
% 136.56/87.23 (~v118(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4381, 1148, 1145, 795, 32471])).
% 136.56/87.23 tff(32474,plain,
% 136.56/87.23 (v123(constB122, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32085, 32464, 32458])).
% 136.56/87.23 tff(32475,plain,
% 136.56/87.23 (v121(constB121, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31907, 32474])).
% 136.56/87.23 tff(32476,plain,
% 136.56/87.23 (v124(constB121, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31903, 32475])).
% 136.56/87.23 tff(32477,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31899, 32035, 32047, 32476, 32473, 32472, 5998, 5939])).
% 136.56/87.23 tff(32478,plain,((~v84(constB124, bitIndex2)) | v116(constB121) | (~v84(constB121, bitIndex1)) | (~v94(constB124)) | (~v84(constB124, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32479,plain,
% 136.56/87.23 (~v84(constB124, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32478, 32433, 31853, 31857, 31778])).
% 136.56/87.23 tff(32480,plain,
% 136.56/87.23 (~v84(constB125, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5041, 32479])).
% 136.56/87.23 tff(32481,plain,
% 136.56/87.23 (~v84(constB125, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5008, 1076, 32480, 32434, 32357])).
% 136.56/87.23 tff(32482,plain,
% 136.56/87.23 (~v84(constB124, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4487, 32481])).
% 136.56/87.23 tff(32483,plain,
% 136.56/87.23 (~v123(constB124, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4875, 32482, 31778])).
% 136.56/87.23 tff(32484,plain,
% 136.56/87.23 (~v121(constB123, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4883, 32483])).
% 136.56/87.23 tff(32485,plain,
% 136.56/87.23 (~v124(constB123, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4894, 32484])).
% 136.56/87.23 tff(32486,plain,
% 136.56/87.23 (~v115(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32457, 32485])).
% 136.56/87.23 tff(32487,plain,
% 136.56/87.23 (~v113(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31889, 32486])).
% 136.56/87.23 tff(32488,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4902, 1674, 767, 4832, 3973, 5075])).
% 136.56/87.23 tff(32489,plain,(v84(constB124, bitIndex2) | (~v94(constB124)) | (~v123(constB124, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32490,plain,
% 136.56/87.23 (~v123(constB124, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32489, 32479, 31778])).
% 136.56/87.23 tff(32491,plain,
% 136.56/87.23 (~v121(constB123, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4910, 32490])).
% 136.56/87.23 tff(32492,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4917, 1728, 767, 3951, 32143, 5074])).
% 136.56/87.23 tff(32493,plain,(v121(constB123, bitIndex2) | (~v124(constB123, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32494,plain,
% 136.56/87.23 (~v124(constB123, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32493, 32491])).
% 136.56/87.23 tff(32495,plain,
% 136.56/87.23 (~v172(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4928, 32494])).
% 136.56/87.23 tff(32496,plain,
% 136.56/87.23 (~v116(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4997, 32480, 32392])).
% 136.56/87.23 tff(32497,plain,
% 136.56/87.23 (v123(constB124, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31925, 32433, 31778])).
% 136.56/87.23 tff(32498,plain,
% 136.56/87.23 (v121(constB123, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[31921, 32497])).
% 136.56/87.23 tff(32499,plain,
% 136.56/87.23 (v124(constB123, bitIndex1)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4988, 32498])).
% 136.56/87.23 tff(32500,plain,
% 136.56/87.23 (v145(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32123, 32486, 32499, 32496, 32495, 32487])).
% 136.56/87.23 tff(32501,plain,
% 136.56/87.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB123)) | (~v84(constB123, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB123)) | (~v84(constB123, bitIndex2)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32502,plain,
% 136.56/87.23 (((~v84(constB123, bitIndex2)) | (~v145(constB123))) <=> ((~v145(constB123)) | (~v84(constB123, bitIndex2)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32503,plain,
% 136.56/87.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB123)) | (~v84(constB123, bitIndex2))))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32502])).
% 136.56/87.23 tff(32504,plain,
% 136.56/87.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB123)) | (~v84(constB123, bitIndex2)))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32503, 32501])).
% 136.56/87.23 tff(32505,plain,
% 136.56/87.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB123, bitIndex2)) | (~v145(constB123)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32506,plain,
% 136.56/87.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB123)) | (~v84(constB123, bitIndex2))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32505, 32504])).
% 136.56/87.23 tff(32507,plain,
% 136.56/87.23 (~v84(constB123, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32506, 725, 32500])).
% 136.56/87.23 tff(32508,plain,
% 136.56/87.23 (~v84(constB122, bitIndex2)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4103, 32507])).
% 136.56/87.23 tff(32509,plain,
% 136.56/87.23 (v94(constB122)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[4282, 32508])).
% 136.56/87.23 tff(32510,plain,
% 136.56/87.23 (v104(constB122)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[6362, 32509])).
% 136.56/87.23 tff(32511,plain,
% 136.56/87.23 (v102(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[6357, 32510])).
% 136.56/87.23 tff(32512,plain,
% 136.56/87.23 (v106(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[6349, 32511])).
% 136.56/87.23 tff(32513,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB121) | (~v106(constB121)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB121) | (~v106(constB121)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32514,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB121) | (~v106(constB121)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32515,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB121) | (~v106(constB121))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32514, 32513])).
% 136.56/87.23 tff(32516,plain,
% 136.56/87.23 (v107(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32515, 3161, 32512])).
% 136.56/87.23 tff(32517,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB121) | v119(constB121) | (~v107(constB121)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB121) | v119(constB121) | (~v107(constB121)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32518,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB121) | v119(constB121) | (~v107(constB121)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32519,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB121) | v119(constB121) | (~v107(constB121))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32518, 32517])).
% 136.56/87.23 tff(32520,plain,
% 136.56/87.23 (v108(constB121) | v119(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32519, 3195, 32516])).
% 136.56/87.23 tff(32521,plain,
% 136.56/87.23 (v108(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32520, 31777])).
% 136.56/87.23 tff(32522,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB121) | v118(constB121) | (~v108(constB121)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB121) | v118(constB121) | (~v108(constB121)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32523,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB121) | v118(constB121) | (~v108(constB121)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32524,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB121) | v118(constB121) | (~v108(constB121))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32523, 32522])).
% 136.56/87.23 tff(32525,plain,
% 136.56/87.23 (v109(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32524, 2856, 31858, 32521])).
% 136.56/87.23 tff(32526,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB123)) | v84(constB123, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB123)) | v84(constB123, bitIndex0))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32527,plain,
% 136.56/87.23 ((v84(constB123, bitIndex0) | (~v145(constB123))) <=> ((~v145(constB123)) | v84(constB123, bitIndex0))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32528,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB123, bitIndex0) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB123)) | v84(constB123, bitIndex0)))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32527])).
% 136.56/87.23 tff(32529,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB123, bitIndex0) | (~v145(constB123)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB123)) | v84(constB123, bitIndex0))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32528, 32526])).
% 136.56/87.23 tff(32530,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB123, bitIndex0) | (~v145(constB123)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32531,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB123)) | v84(constB123, bitIndex0)),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32530, 32529])).
% 136.56/87.23 tff(32532,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32531, 788, 31909, 4038])).
% 136.56/87.23 tff(32533,plain,((~v145(constB123)) | v84(constB123, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32534,plain,
% 136.56/87.23 (~v145(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32533, 4038])).
% 136.56/87.23 tff(32535,plain,
% 136.56/87.23 (v118(constB123)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32061, 32534, 4048, 32058, 4309, 31965, 4074])).
% 136.56/87.23 tff(32536,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32098, 2642, 4038, 32535])).
% 136.56/87.23 tff(32537,plain,(v84(constB123, bitIndex0) | v172(constB123) | v124(constB123, bitIndex0) | v115(constB123) | v116(constB123)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32538,plain,
% 136.56/87.23 (v84(constB123, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32537, 32485, 32496, 32486, 32495])).
% 136.56/87.23 tff(32539,plain,
% 136.56/87.23 (v84(constB122, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[6302, 32538])).
% 136.56/87.23 tff(32540,plain,
% 136.56/87.23 (v123(constB122, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5195, 1344, 795, 32509, 32539])).
% 136.56/87.23 tff(32541,plain,
% 136.56/87.23 (v121(constB121, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5200, 1362, 795, 4110, 32540])).
% 136.56/87.23 tff(32542,plain,
% 136.56/87.23 (v124(constB121, bitIndex0)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5204, 1380, 795, 4156, 32541])).
% 136.56/87.23 tff(32543,plain,
% 136.56/87.23 (~v113(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[5211, 2386, 2186, 795, 32542])).
% 136.56/87.23 tff(32544,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB121)) | (~v124(constB121, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB121)) | (~v124(constB121, bitIndex0)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32545,plain,
% 136.56/87.23 (((~v145(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB121)) | (~v124(constB121, bitIndex0)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32546,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB121)) | (~v124(constB121, bitIndex0))))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32545])).
% 136.56/87.23 tff(32547,plain,
% 136.56/87.23 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB121)) | (~v124(constB121, bitIndex0)))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32546, 32544])).
% 136.56/87.23 tff(32548,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB121)) | (~less_3(bitIndex0)) | (~v124(constB121, bitIndex0)) | b010(bitIndex0))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32549,plain,
% 136.56/87.23 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB121)) | (~v124(constB121, bitIndex0))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32548, 32547])).
% 136.56/87.23 tff(32550,plain,
% 136.56/87.23 (~v145(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32549, 2299, 1416, 795, 32542])).
% 136.56/87.23 tff(32551,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB121) | v113(constB121) | (~v112(constB121)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB121) | v113(constB121) | (~v112(constB121)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32552,plain,
% 136.56/87.23 ((v113(constB121) | (~v112(constB121)) | v145(constB121)) <=> (v145(constB121) | v113(constB121) | (~v112(constB121)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32553,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB121) | (~v112(constB121)) | v145(constB121))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB121) | v113(constB121) | (~v112(constB121))))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32552])).
% 136.56/87.23 tff(32554,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB121) | (~v112(constB121)) | v145(constB121))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB121) | v113(constB121) | (~v112(constB121)))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32553, 32551])).
% 136.56/87.23 tff(32555,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB121) | (~v112(constB121)) | v145(constB121))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32556,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB121) | v113(constB121) | (~v112(constB121))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32555, 32554])).
% 136.56/87.23 tff(32557,plain,
% 136.56/87.23 (~v112(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32556, 2894, 32550, 32543])).
% 136.56/87.23 tff(32558,assumption,(v115(constB121)), introduced(assumption)).
% 136.56/87.23 tff(32559,plain,
% 136.56/87.23 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB121, bitIndex0)) | (~v115(constB121)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB121, bitIndex0)) | (~v115(constB121)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32560,plain,
% 136.56/87.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB121, bitIndex0)) | (~v115(constB121)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32561,plain,
% 136.56/87.23 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB121, bitIndex0)) | (~v115(constB121))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32560, 32559])).
% 136.56/87.23 tff(32562,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32561, 3011, 6257, 32558])).
% 136.56/87.23 tff(32563,plain,((~v115(constB121)) | (~v84(constB121, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32564,plain,
% 136.56/87.23 (~v115(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32563, 31773])).
% 136.56/87.23 tff(32565,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB121) | v115(constB121) | (~v111(constB121)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB121) | v115(constB121) | (~v111(constB121)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32566,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB121) | v115(constB121) | (~v111(constB121)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32567,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB121) | v115(constB121) | (~v111(constB121))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32566, 32565])).
% 136.56/87.23 tff(32568,plain,
% 136.56/87.23 (~v111(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32567, 2911, 32564, 32557])).
% 136.56/87.23 tff(32569,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB121) | v116(constB121) | (~v110(constB121)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB121) | v116(constB121) | (~v110(constB121)))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32570,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB121) | v116(constB121) | (~v110(constB121)))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32571,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB121) | v116(constB121) | (~v110(constB121))),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32570, 32569])).
% 136.56/87.23 tff(32572,plain,
% 136.56/87.23 (v111(constB121) | (~v110(constB121))),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32571, 2932, 31857])).
% 136.56/87.23 tff(32573,plain,
% 136.56/87.23 (~v110(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32572, 32568])).
% 136.56/87.23 tff(32574,plain,
% 136.56/87.23 (~v172(constB121)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[6328, 1997, 1994, 795, 32542])).
% 136.56/87.23 tff(32575,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB121)) | v172(constB121) | v110(constB121))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB121)) | v172(constB121) | v110(constB121))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32576,plain,
% 136.56/87.23 ((v110(constB121) | (~v109(constB121)) | v172(constB121)) <=> ((~v109(constB121)) | v172(constB121) | v110(constB121))),
% 136.56/87.23 inference(rewrite,[status(thm)],[])).
% 136.56/87.23 tff(32577,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB121) | (~v109(constB121)) | v172(constB121))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB121)) | v172(constB121) | v110(constB121)))),
% 136.56/87.23 inference(monotonicity,[status(thm)],[32576])).
% 136.56/87.23 tff(32578,plain,
% 136.56/87.23 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB121) | (~v109(constB121)) | v172(constB121))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB121)) | v172(constB121) | v110(constB121))),
% 136.56/87.23 inference(transitivity,[status(thm)],[32577, 32575])).
% 136.56/87.23 tff(32579,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB121) | (~v109(constB121)) | v172(constB121))),
% 136.56/87.23 inference(quant_inst,[status(thm)],[])).
% 136.56/87.23 tff(32580,plain,
% 136.56/87.23 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB121)) | v172(constB121) | v110(constB121)),
% 136.56/87.23 inference(modus_ponens,[status(thm)],[32579, 32578])).
% 136.56/87.23 tff(32581,plain,
% 136.56/87.23 ($false),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32580, 2871, 32574, 32573, 32525])).
% 136.56/87.23 tff(32582,plain,((~v107(constB125)) | v94(constB108)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.23 tff(32583,plain,
% 136.56/87.23 (~v107(constB125)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[32582, 31487])).
% 136.56/87.23 tff(32584,plain,
% 136.56/87.23 (~v107(constB129)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21443, 32583])).
% 136.56/87.23 tff(32585,plain,
% 136.56/87.23 (~v106(constB129)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21447, 3161, 32584])).
% 136.56/87.23 tff(32586,plain,
% 136.56/87.23 (~v102(constB129)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21459, 32585])).
% 136.56/87.23 tff(32587,plain,
% 136.56/87.23 (~v104(constB130)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21470, 32586])).
% 136.56/87.23 tff(32588,plain,
% 136.56/87.23 (~v94(constB130)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21475, 32587])).
% 136.56/87.23 tff(32589,plain,
% 136.56/87.23 (~v107(constB131)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21806, 32588])).
% 136.56/87.23 tff(32590,plain,
% 136.56/87.23 (~v106(constB131)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21810, 3161, 32589])).
% 136.56/87.23 tff(32591,plain,
% 136.56/87.23 (~v102(constB131)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21822, 32590])).
% 136.56/87.23 tff(32592,plain,
% 136.56/87.23 (~v104(constB132)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21833, 32591])).
% 136.56/87.23 tff(32593,plain,
% 136.56/87.23 (~v94(constB132)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[21838, 32592])).
% 136.56/87.23 tff(32594,plain,
% 136.56/87.23 (~v106(constB135)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[22613, 3161, 22507])).
% 136.56/87.23 tff(32595,plain,
% 136.56/87.23 (~v102(constB135)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[22609, 32594])).
% 136.56/87.23 tff(32596,plain,
% 136.56/87.23 (~v104(constB136)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[22597, 32595])).
% 136.56/87.23 tff(32597,plain,
% 136.56/87.23 (~v94(constB136)),
% 136.56/87.23 inference(unit_resolution,[status(thm)],[22589, 32596])).
% 136.56/87.23 tff(32598,assumption,(~v84(constB136, bitIndex0)), introduced(assumption)).
% 136.56/87.23 tff(32599,assumption,(~v84(constB136, bitIndex2)), introduced(assumption)).
% 136.56/87.23 tff(32600,plain,
% 136.56/87.23 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB135, bitIndex2)) | v84(constB136, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB135, bitIndex2)) | v84(constB136, bitIndex2))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32601,plain,
% 136.56/87.24 (((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB136, bitIndex2) | (~v84(constB135, bitIndex2))) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB135, bitIndex2)) | v84(constB136, bitIndex2))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32602,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB136, bitIndex2) | (~v84(constB135, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB135, bitIndex2)) | v84(constB136, bitIndex2)))),
% 136.56/87.24 inference(monotonicity,[status(thm)],[32601])).
% 136.56/87.24 tff(32603,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB136, bitIndex2) | (~v84(constB135, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB135, bitIndex2)) | v84(constB136, bitIndex2))),
% 136.56/87.24 inference(transitivity,[status(thm)],[32602, 32600])).
% 136.56/87.24 tff(32604,plain,
% 136.56/87.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB136, bitIndex2) | (~v84(constB135, bitIndex2)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32605,plain,
% 136.56/87.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB135, bitIndex2)) | v84(constB136, bitIndex2)),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32604, 32603])).
% 136.56/87.24 tff(32606,plain,
% 136.56/87.24 (~v84(constB135, bitIndex2)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32605, 777, 767, 22576, 22573, 32599])).
% 136.56/87.24 tff(32607,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB136, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB136, bitIndex0))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32608,plain,
% 136.56/87.24 (((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v84(constB135, bitIndex0))) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB136, bitIndex0))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32609,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v84(constB135, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB136, bitIndex0)))),
% 136.56/87.24 inference(monotonicity,[status(thm)],[32608])).
% 136.56/87.24 tff(32610,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v84(constB135, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB136, bitIndex0))),
% 136.56/87.24 inference(transitivity,[status(thm)],[32609, 32607])).
% 136.56/87.24 tff(32611,plain,
% 136.56/87.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v84(constB135, bitIndex0)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32612,plain,
% 136.56/87.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB135, bitIndex0)) | v84(constB136, bitIndex0)),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32611, 32610])).
% 136.56/87.24 tff(32613,plain,
% 136.56/87.24 (~v84(constB135, bitIndex0)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32612, 777, 795, 22576, 22573, 32598])).
% 136.56/87.24 tff(32614,plain,
% 136.56/87.24 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32615,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32616,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB135) | (~nextState(constB135, constB136)) | (~v98(constB136))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32615, 32614])).
% 136.56/87.24 tff(32617,plain,
% 136.56/87.24 (~v98(constB136)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32616, 541, 22576, 22071])).
% 136.56/87.24 tff(32618,plain,
% 136.56/87.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32619,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB135, constB136)) | v96(constB136) | v98(constB136))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32620,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB135, constB136)) | v96(constB136) | v98(constB136)),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32619, 32618])).
% 136.56/87.24 tff(32621,plain,
% 136.56/87.24 (v96(constB136) | v98(constB136)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32620, 555, 22576])).
% 136.56/87.24 tff(32622,plain,
% 136.56/87.24 (v96(constB136)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32621, 32617])).
% 136.56/87.24 tff(32623,plain,
% 136.56/87.24 (v1(constB136) <=> v1(constB136)),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32624,axiom,(v1(constB136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_136_1')).
% 136.56/87.24 tff(32625,plain,
% 136.56/87.24 (v1(constB136)),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32624, 32623])).
% 136.56/87.24 tff(32626,plain,
% 136.56/87.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32627,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32628,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB135, constB136)) | v95(constB136) | (~v96(constB136)) | (~v1(constB136))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32627, 32626])).
% 136.56/87.24 tff(32629,plain,
% 136.56/87.24 (v95(constB136) | (~v96(constB136))),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32628, 573, 22576, 32625])).
% 136.56/87.24 tff(32630,plain,
% 136.56/87.24 (v95(constB136)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32629, 32622])).
% 136.56/87.24 tff(32631,plain,
% 136.56/87.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32632,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32633,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB135, constB136)) | (~v95(constB136)) | (~v104(constB136)) | v94(constB136)),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32632, 32631])).
% 136.56/87.24 tff(32634,plain,
% 136.56/87.24 ((~v95(constB136)) | (~v104(constB136)) | v94(constB136)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32633, 588, 22576])).
% 136.56/87.24 tff(32635,plain,
% 136.56/87.24 ((~v104(constB136)) | v94(constB136)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32634, 32630])).
% 136.56/87.24 tff(32636,plain,
% 136.56/87.24 (~v104(constB136)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32635, 22573])).
% 136.56/87.24 tff(32637,plain,
% 136.56/87.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32638,plain,
% 136.56/87.24 (((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136)) <=> ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32639,plain,
% 136.56/87.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))))),
% 136.56/87.24 inference(monotonicity,[status(thm)],[32638])).
% 136.56/87.24 tff(32640,plain,
% 136.56/87.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135)))),
% 136.56/87.24 inference(transitivity,[status(thm)],[32639, 32637])).
% 136.56/87.24 tff(32641,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB135, constB136)) | (~v102(constB135)) | v104(constB136))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32642,plain,
% 136.56/87.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB135, constB136)) | v104(constB136) | (~v102(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32641, 32640])).
% 136.56/87.24 tff(32643,plain,
% 136.56/87.24 (v104(constB136) | (~v102(constB135))),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32642, 604, 22576])).
% 136.56/87.24 tff(32644,plain,
% 136.56/87.24 (~v102(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32643, 32636])).
% 136.56/87.24 tff(32645,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB135) | (~v106(constB135)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB135) | (~v106(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32646,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB135) | (~v106(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32647,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB135) | (~v106(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32646, 32645])).
% 136.56/87.24 tff(32648,plain,
% 136.56/87.24 (~v106(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32647, 619, 32644])).
% 136.56/87.24 tff(32649,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB135) | (~v26(constB135)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB135) | (~v26(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32650,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB135) | (~v26(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32651,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB135) | (~v26(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32650, 32649])).
% 136.56/87.24 tff(32652,plain,
% 136.56/87.24 (~v26(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32651, 630, 32644])).
% 136.56/87.24 tff(32653,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | v106(constB135) | (~v107(constB135)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32654,plain,
% 136.56/87.24 ((v26(constB135) | (~v107(constB135)) | v106(constB135)) <=> (v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32655,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | v106(constB135) | (~v107(constB135))))),
% 136.56/87.24 inference(monotonicity,[status(thm)],[32654])).
% 136.56/87.24 tff(32656,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135)))),
% 136.56/87.24 inference(transitivity,[status(thm)],[32655, 32653])).
% 136.56/87.24 tff(32657,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB135) | (~v107(constB135)) | v106(constB135))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32658,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB135) | v106(constB135) | (~v107(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32657, 32656])).
% 136.56/87.24 tff(32659,plain,
% 136.56/87.24 (~v107(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32658, 644, 32652, 32648])).
% 136.56/87.24 tff(32660,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB135) | (~v108(constB135)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB135) | (~v108(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32661,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB135) | (~v108(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32662,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB135) | (~v108(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32661, 32660])).
% 136.56/87.24 tff(32663,plain,
% 136.56/87.24 (~v108(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32662, 658, 32659])).
% 136.56/87.24 tff(32664,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB135) | (~v109(constB135)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB135) | (~v109(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32665,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB135) | (~v109(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32666,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB135) | (~v109(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32665, 32664])).
% 136.56/87.24 tff(32667,plain,
% 136.56/87.24 (~v109(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32666, 669, 32663])).
% 136.56/87.24 tff(32668,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB135) | (~v110(constB135)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB135) | (~v110(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32669,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB135) | (~v110(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32670,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB135) | (~v110(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32669, 32668])).
% 136.56/87.24 tff(32671,plain,
% 136.56/87.24 (~v110(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32670, 680, 32667])).
% 136.56/87.24 tff(32672,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB135) | (~v111(constB135)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB135) | (~v111(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32673,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB135) | (~v111(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32674,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB135) | (~v111(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32673, 32672])).
% 136.56/87.24 tff(32675,plain,
% 136.56/87.24 (~v111(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32674, 691, 32671])).
% 136.56/87.24 tff(32676,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB135) | (~v112(constB135)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB135) | (~v112(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32677,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB135) | (~v112(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32678,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB135) | (~v112(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32677, 32676])).
% 136.56/87.24 tff(32679,plain,
% 136.56/87.24 (~v112(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32678, 702, 32675])).
% 136.56/87.24 tff(32680,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB135) | (~v113(constB135)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB135) | (~v113(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32681,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB135) | (~v113(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32682,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB135) | (~v113(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32681, 32680])).
% 136.56/87.24 tff(32683,plain,
% 136.56/87.24 (~v113(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32682, 969, 32679])).
% 136.56/87.24 tff(32684,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB135) | v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB135) | v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32685,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB135) | v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32686,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB135) | v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2)),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32685, 32684])).
% 136.56/87.24 tff(32687,plain,
% 136.56/87.24 (v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32686, 983, 32683])).
% 136.56/87.24 tff(32688,plain,
% 136.56/87.24 ($false),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32687, 32613, 32606, 22267])).
% 136.56/87.24 tff(32689,plain,(v84(constB135, bitIndex1) | v94(constB136) | v84(constB136, bitIndex0) | v84(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.24 tff(32690,plain,
% 136.56/87.24 (v84(constB135, bitIndex1)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32689, 22573, 32598, 32599])).
% 136.56/87.24 tff(32691,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB135) | (~v115(constB135)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB135) | (~v115(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32692,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB135) | (~v115(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32693,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB135) | (~v115(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32692, 32691])).
% 136.56/87.24 tff(32694,plain,
% 136.56/87.24 (~v115(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32693, 945, 32675])).
% 136.56/87.24 tff(32695,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | v115(constB135))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | v115(constB135))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32696,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | v115(constB135))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32697,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | v115(constB135)),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32696, 32695])).
% 136.56/87.24 tff(32698,plain,
% 136.56/87.24 (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32697, 1095, 32694])).
% 136.56/87.24 tff(32699,plain,
% 136.56/87.24 ($false),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32698, 32606, 32613, 32690])).
% 136.56/87.24 tff(32700,plain,(v94(constB136) | v84(constB136, bitIndex2) | v84(constB136, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.24 tff(32701,plain,
% 136.56/87.24 (v84(constB136, bitIndex2)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32700, 22573, 32598])).
% 136.56/87.24 tff(32702,plain,
% 136.56/87.24 (v106(constB135) | (~v107(constB135))),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32658, 644, 22602])).
% 136.56/87.24 tff(32703,plain,
% 136.56/87.24 (~v107(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32702, 32648])).
% 136.56/87.24 tff(32704,plain,
% 136.56/87.24 (~v108(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32662, 658, 32703])).
% 136.56/87.24 tff(32705,plain,
% 136.56/87.24 (~v109(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32666, 669, 32704])).
% 136.56/87.24 tff(32706,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB135) | (~v172(constB135)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB135) | (~v172(constB135)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32707,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB135) | (~v172(constB135)))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32708,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB135) | (~v172(constB135))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32707, 32706])).
% 136.56/87.24 tff(32709,plain,
% 136.56/87.24 (~v172(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32708, 1033, 32705])).
% 136.56/87.24 tff(32710,assumption,(v84(constB136, bitIndex2)), introduced(assumption)).
% 136.56/87.24 tff(32711,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB136, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB136, bitIndex2)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32712,plain,
% 136.56/87.24 (((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB136, bitIndex2)) | v84(constB135, bitIndex2)) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB136, bitIndex2)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32713,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB136, bitIndex2)) | v84(constB135, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB136, bitIndex2))))),
% 136.56/87.24 inference(monotonicity,[status(thm)],[32712])).
% 136.56/87.24 tff(32714,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB136, bitIndex2)) | v84(constB135, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB136, bitIndex2)))),
% 136.56/87.24 inference(transitivity,[status(thm)],[32713, 32711])).
% 136.56/87.24 tff(32715,plain,
% 136.56/87.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | (~v84(constB136, bitIndex2)) | v84(constB135, bitIndex2))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32716,plain,
% 136.56/87.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex2)) | v84(constB135, bitIndex2) | (~v84(constB136, bitIndex2))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32715, 32714])).
% 136.56/87.24 tff(32717,plain,
% 136.56/87.24 (v84(constB135, bitIndex2)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32716, 805, 767, 22576, 22573, 32710])).
% 136.56/87.24 tff(32718,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex2)) | v172(constB135))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex2)) | v172(constB135))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32719,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex2)) | v172(constB135))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32720,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB135, bitIndex0) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex2)) | v172(constB135)),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32719, 32718])).
% 136.56/87.24 tff(32721,plain,
% 136.56/87.24 (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex2)) | v172(constB135)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32720, 1047, 22267])).
% 136.56/87.24 tff(32722,plain,
% 136.56/87.24 ($false),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32721, 32613, 32717, 32709])).
% 136.56/87.24 tff(32723,plain,(v94(constB136) | v84(constB135, bitIndex1) | v84(constB136, bitIndex0) | (~v84(constB136, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.24 tff(32724,plain,
% 136.56/87.24 (v84(constB135, bitIndex1)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32723, 32701, 32598, 22573])).
% 136.56/87.24 tff(32725,plain,
% 136.56/87.24 (v94(constB136) | (~v84(constB135, bitIndex0))),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32612, 777, 795, 22576, 32598])).
% 136.56/87.24 tff(32726,plain,
% 136.56/87.24 (~v84(constB135, bitIndex0)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32725, 22573])).
% 136.56/87.24 tff(32727,plain,
% 136.56/87.24 (v94(constB136) | v84(constB135, bitIndex2)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32716, 805, 767, 22576, 32710])).
% 136.56/87.24 tff(32728,plain,
% 136.56/87.24 (v84(constB135, bitIndex2)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32727, 22573])).
% 136.56/87.24 tff(32729,assumption,(v84(constB136, bitIndex1)), introduced(assumption)).
% 136.56/87.24 tff(32730,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB136, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB136, bitIndex1)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32731,plain,
% 136.56/87.24 (((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB136, bitIndex1)) | v84(constB135, bitIndex1)) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB136, bitIndex1)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32732,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB136, bitIndex1)) | v84(constB135, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB136, bitIndex1))))),
% 136.56/87.24 inference(monotonicity,[status(thm)],[32731])).
% 136.56/87.24 tff(32733,plain,
% 136.56/87.24 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB136, bitIndex1)) | v84(constB135, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB136, bitIndex1)))),
% 136.56/87.24 inference(transitivity,[status(thm)],[32732, 32730])).
% 136.56/87.24 tff(32734,plain,
% 136.56/87.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | (~v84(constB136, bitIndex1)) | v84(constB135, bitIndex1))),
% 136.56/87.24 inference(quant_inst,[status(thm)],[])).
% 136.56/87.24 tff(32735,plain,
% 136.56/87.24 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex1)) | v84(constB135, bitIndex1) | (~v84(constB136, bitIndex1))),
% 136.56/87.24 inference(modus_ponens,[status(thm)],[32734, 32733])).
% 136.56/87.24 tff(32736,plain,
% 136.56/87.24 (v94(constB136) | v84(constB135, bitIndex1)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32735, 805, 823, 22576, 32729])).
% 136.56/87.24 tff(32737,plain,
% 136.56/87.24 (v84(constB135, bitIndex1)),
% 136.56/87.24 inference(unit_resolution,[status(thm)],[32736, 22573])).
% 136.56/87.24 tff(32738,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB135) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB135) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32739,plain,
% 136.56/87.24 ((v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135)) <=> (v119(constB135) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)))),
% 136.56/87.24 inference(rewrite,[status(thm)],[])).
% 136.56/87.24 tff(32740,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB135) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2))))),
% 136.56/87.24 inference(monotonicity,[status(thm)],[32739])).
% 136.56/87.24 tff(32741,plain,
% 136.56/87.24 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB135) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)))),
% 136.56/87.24 inference(transitivity,[status(thm)],[32740, 32738])).
% 136.56/87.24 tff(32742,plain,
% 136.56/87.24 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2)) | v119(constB135))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32743,plain,
% 136.56/87.25 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB135) | v84(constB135, bitIndex0) | (~v84(constB135, bitIndex1)) | (~v84(constB135, bitIndex2))),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32742, 32741])).
% 136.56/87.25 tff(32744,plain,
% 136.56/87.25 (v119(constB135)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32743, 1910, 32737, 32728, 32726])).
% 136.56/87.25 tff(32745,plain,
% 136.56/87.25 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB135) | (~v119(constB135)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB135) | (~v119(constB135)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32746,plain,
% 136.56/87.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB135) | (~v119(constB135)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32747,plain,
% 136.56/87.25 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB135) | (~v119(constB135))),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32746, 32745])).
% 136.56/87.25 tff(32748,plain,
% 136.56/87.25 ($false),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32747, 1927, 32703, 32744])).
% 136.56/87.25 tff(32749,plain,(v94(constB136) | v84(constB136, bitIndex0) | (~v84(constB136, bitIndex1)) | (~v84(constB136, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.25 tff(32750,plain,
% 136.56/87.25 (~v84(constB136, bitIndex1)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32749, 22573, 32598, 32701])).
% 136.56/87.25 tff(32751,plain,
% 136.56/87.25 ($false),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[22582, 777, 823, 22576, 22573, 32750, 32724])).
% 136.56/87.25 tff(32752,plain,(v94(constB136) | v84(constB136, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.25 tff(32753,plain,
% 136.56/87.25 (v84(constB136, bitIndex0)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32752, 32597])).
% 136.56/87.25 tff(32754,plain,
% 136.56/87.25 ($false),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[22317, 816, 22278, 22572])).
% 136.56/87.25 tff(32755,plain,((~v145(constB135)) | (~v84(constB135, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.25 tff(32756,plain,
% 136.56/87.25 (~v145(constB135)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32755, 22571])).
% 136.56/87.25 tff(32757,assumption,(v84(constB136, bitIndex0)), introduced(assumption)).
% 136.56/87.25 tff(32758,plain,
% 136.56/87.25 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB136, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB136, bitIndex0)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32759,plain,
% 136.56/87.25 (((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB136, bitIndex0)) | v84(constB135, bitIndex0)) <=> ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB136, bitIndex0)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32760,plain,
% 136.56/87.25 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB136, bitIndex0)) | v84(constB135, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB136, bitIndex0))))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32759])).
% 136.56/87.25 tff(32761,plain,
% 136.56/87.25 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB136, bitIndex0)) | v84(constB135, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB136, bitIndex0)))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32760, 32758])).
% 136.56/87.25 tff(32762,plain,
% 136.56/87.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | (~v84(constB136, bitIndex0)) | v84(constB135, bitIndex0))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32763,plain,
% 136.56/87.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB135, constB136)) | v94(constB136) | (~less_3(bitIndex0)) | v84(constB135, bitIndex0) | (~v84(constB136, bitIndex0))),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32762, 32761])).
% 136.56/87.25 tff(32764,plain,
% 136.56/87.25 (v94(constB136) | v84(constB135, bitIndex0)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32763, 805, 795, 22576, 32757])).
% 136.56/87.25 tff(32765,plain,
% 136.56/87.25 (v84(constB135, bitIndex0)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32764, 22573])).
% 136.56/87.25 tff(32766,assumption,(v84(constB135, bitIndex2)), introduced(assumption)).
% 136.56/87.25 tff(32767,plain,
% 136.56/87.25 ($false),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32605, 777, 767, 22576, 22573, 32599, 32766])).
% 136.56/87.25 tff(32768,plain,(v84(constB136, bitIndex2) | v94(constB136) | (~v84(constB135, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.25 tff(32769,plain,
% 136.56/87.25 (~v84(constB135, bitIndex2)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32768, 22573, 32599])).
% 136.56/87.25 tff(32770,assumption,(~v145(constB135)), introduced(assumption)).
% 136.56/87.25 tff(32771,plain,
% 136.56/87.25 (v94(constB136)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32700, 32598, 32599])).
% 136.56/87.25 tff(32772,assumption,(~v123(constB136, bitIndex2)), introduced(assumption)).
% 136.56/87.25 tff(32773,plain,
% 136.56/87.25 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB135, constB136)) | (~less_3(bitIndex2)) | v123(constB136, bitIndex2) | (~v121(constB135, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB135, constB136)) | (~less_3(bitIndex2)) | v123(constB136, bitIndex2) | (~v121(constB135, bitIndex2)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32774,plain,
% 136.56/87.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB135, constB136)) | (~less_3(bitIndex2)) | v123(constB136, bitIndex2) | (~v121(constB135, bitIndex2)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32775,plain,
% 136.56/87.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB135, constB136)) | (~less_3(bitIndex2)) | v123(constB136, bitIndex2) | (~v121(constB135, bitIndex2))),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32774, 32773])).
% 136.56/87.25 tff(32776,plain,
% 136.56/87.25 (~v121(constB135, bitIndex2)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32775, 1708, 767, 22576, 32772])).
% 136.56/87.25 tff(32777,assumption,(v94(constB136)), introduced(assumption)).
% 136.56/87.25 tff(32778,plain,
% 136.56/87.25 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB136)) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32779,plain,
% 136.56/87.25 (((~less_3(bitIndex0)) | (~v94(constB136)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0))) <=> ((~v94(constB136)) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32780,plain,
% 136.56/87.25 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB136)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB136)) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0))))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32779])).
% 136.56/87.25 tff(32781,plain,
% 136.56/87.25 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB136)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32780, 32778])).
% 136.56/87.25 tff(32782,plain,
% 136.56/87.25 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB136)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32783,plain,
% 136.56/87.25 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex0)) | v84(constB136, bitIndex0) | (~v123(constB136, bitIndex0))),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32782, 32781])).
% 136.56/87.25 tff(32784,plain,
% 136.56/87.25 (~v123(constB136, bitIndex0)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32783, 1674, 795, 32777, 32598])).
% 136.56/87.25 tff(32785,plain,
% 136.56/87.25 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB135, constB136)) | (~less_3(bitIndex0)) | v123(constB136, bitIndex0) | (~v121(constB135, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB135, constB136)) | (~less_3(bitIndex0)) | v123(constB136, bitIndex0) | (~v121(constB135, bitIndex0)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32786,plain,
% 136.56/87.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB135, constB136)) | (~less_3(bitIndex0)) | v123(constB136, bitIndex0) | (~v121(constB135, bitIndex0)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32787,plain,
% 136.56/87.25 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB135, constB136)) | (~less_3(bitIndex0)) | v123(constB136, bitIndex0) | (~v121(constB135, bitIndex0))),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32786, 32785])).
% 136.56/87.25 tff(32788,plain,
% 136.56/87.25 (~v121(constB135, bitIndex0)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32787, 1708, 795, 22576, 32784])).
% 136.56/87.25 tff(32789,assumption,(~v26(constB135)), introduced(assumption)).
% 136.56/87.25 tff(32790,assumption,(~v121(constB135, bitIndex0)), introduced(assumption)).
% 136.56/87.25 tff(32791,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | (~less_3(bitIndex0)) | v121(constB135, bitIndex0) | (~v124(constB135, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex0)) | v121(constB135, bitIndex0) | (~v124(constB135, bitIndex0)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32792,plain,
% 136.56/87.25 ((v26(constB135) | v121(constB135, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB135, bitIndex0))) <=> (v26(constB135) | (~less_3(bitIndex0)) | v121(constB135, bitIndex0) | (~v124(constB135, bitIndex0)))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32793,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB135, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | (~less_3(bitIndex0)) | v121(constB135, bitIndex0) | (~v124(constB135, bitIndex0))))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32792])).
% 136.56/87.25 tff(32794,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB135, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex0)) | v121(constB135, bitIndex0) | (~v124(constB135, bitIndex0)))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32793, 32791])).
% 136.56/87.25 tff(32795,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB135, bitIndex0)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32796,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex0)) | v121(constB135, bitIndex0) | (~v124(constB135, bitIndex0))),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32795, 32794])).
% 136.56/87.25 tff(32797,plain,
% 136.56/87.25 (v26(constB135) | (~v124(constB135, bitIndex0))),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32796, 1728, 795, 32790])).
% 136.56/87.25 tff(32798,plain,
% 136.56/87.25 (~v124(constB135, bitIndex0)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32797, 32789])).
% 136.56/87.25 tff(32799,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32800,plain,
% 136.56/87.25 (((~v118(constB135)) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32801,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB135)) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0)))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32800])).
% 136.56/87.25 tff(32802,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB135)) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32801, 32799])).
% 136.56/87.25 tff(32803,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB135)) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b011(bitIndex0)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32804,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0)),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32803, 32802])).
% 136.56/87.25 tff(32805,plain,
% 136.56/87.25 (~v118(constB135)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32804, 1148, 1145, 795, 32798])).
% 136.56/87.25 tff(32806,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32807,plain,
% 136.56/87.25 (((~v115(constB135)) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32808,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB135)) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0)))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32807])).
% 136.56/87.25 tff(32809,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB135)) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32808, 32806])).
% 136.56/87.25 tff(32810,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB135)) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b011(bitIndex0)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32811,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB135)) | (~b011(bitIndex0)) | v124(constB135, bitIndex0)),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32810, 32809])).
% 136.56/87.25 tff(32812,plain,
% 136.56/87.25 (~v115(constB135)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32811, 1148, 1193, 795, 32798])).
% 136.56/87.25 tff(32813,assumption,(~v121(constB135, bitIndex2)), introduced(assumption)).
% 136.56/87.25 tff(32814,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)) | v121(constB135, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)) | v121(constB135, bitIndex2))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32815,plain,
% 136.56/87.25 ((v26(constB135) | v121(constB135, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2))) <=> (v26(constB135) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)) | v121(constB135, bitIndex2))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32816,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)) | v121(constB135, bitIndex2)))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32815])).
% 136.56/87.25 tff(32817,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)) | v121(constB135, bitIndex2))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32816, 32814])).
% 136.56/87.25 tff(32818,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32819,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex2)) | (~v124(constB135, bitIndex2)) | v121(constB135, bitIndex2)),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32818, 32817])).
% 136.56/87.25 tff(32820,plain,
% 136.56/87.25 (v26(constB135) | (~v124(constB135, bitIndex2))),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32819, 1728, 767, 32813])).
% 136.56/87.25 tff(32821,plain,
% 136.56/87.25 (~v124(constB135, bitIndex2)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32820, 32789])).
% 136.56/87.25 tff(32822,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32823,plain,
% 136.56/87.25 (((~v116(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v116(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32824,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2)))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32823])).
% 136.56/87.25 tff(32825,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32824, 32822])).
% 136.56/87.25 tff(32826,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b100(bitIndex2)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32827,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2)),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32826, 32825])).
% 136.56/87.25 tff(32828,plain,
% 136.56/87.25 (~v116(constB135)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32827, 1772, 1769, 767, 32821])).
% 136.56/87.25 tff(32829,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB135)) | v124(constB135, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB135)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32830,plain,
% 136.56/87.25 (((~v172(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB135)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32831,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB135)) | v124(constB135, bitIndex2)))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32830])).
% 136.56/87.25 tff(32832,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB135)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32831, 32829])).
% 136.56/87.25 tff(32833,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b110(bitIndex2)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32834,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB135)) | v124(constB135, bitIndex2)),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32833, 32832])).
% 136.56/87.25 tff(32835,plain,
% 136.56/87.25 (~v172(constB135)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32834, 2066, 1798, 767, 32821])).
% 136.56/87.25 tff(32836,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32837,plain,
% 136.56/87.25 (((~v113(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v113(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32838,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2)))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32837])).
% 136.56/87.25 tff(32839,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32838, 32836])).
% 136.56/87.25 tff(32840,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB135)) | (~less_3(bitIndex2)) | v124(constB135, bitIndex2) | (~b100(bitIndex2)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32841,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB135)) | (~b100(bitIndex2)) | v124(constB135, bitIndex2)),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32840, 32839])).
% 136.56/87.25 tff(32842,plain,
% 136.56/87.25 (~v113(constB135)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32841, 1772, 1838, 767, 32821])).
% 136.56/87.25 tff(32843,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB135) | v118(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | (~b001(bitIndex0)) | v124(constB135, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB135) | v118(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | (~b001(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32844,plain,
% 136.56/87.25 ((v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB135) | v118(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | (~b001(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(rewrite,[status(thm)],[])).
% 136.56/87.25 tff(32845,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB135) | v118(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | (~b001(bitIndex0)) | v124(constB135, bitIndex0)))),
% 136.56/87.25 inference(monotonicity,[status(thm)],[32844])).
% 136.56/87.25 tff(32846,plain,
% 136.56/87.25 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB135) | v118(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | (~b001(bitIndex0)) | v124(constB135, bitIndex0))),
% 136.56/87.25 inference(transitivity,[status(thm)],[32845, 32843])).
% 136.56/87.25 tff(32847,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB135) | v145(constB135) | v115(constB135) | v116(constB135) | v172(constB135) | v118(constB135) | (~less_3(bitIndex0)) | v124(constB135, bitIndex0) | (~b001(bitIndex0)))),
% 136.56/87.25 inference(quant_inst,[status(thm)],[])).
% 136.56/87.25 tff(32848,plain,
% 136.56/87.25 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB135) | v118(constB135) | v172(constB135) | v116(constB135) | v115(constB135) | v113(constB135) | (~b001(bitIndex0)) | v124(constB135, bitIndex0)),
% 136.56/87.25 inference(modus_ponens,[status(thm)],[32847, 32846])).
% 136.56/87.25 tff(32849,plain,
% 136.56/87.25 (v118(constB135) | v115(constB135)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32848, 1213, 1210, 795, 32770, 32798, 32842, 32835, 32828])).
% 136.56/87.25 tff(32850,plain,
% 136.56/87.25 ($false),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32849, 32812, 32805])).
% 136.56/87.25 tff(32851,plain,(v26(constB135) | v145(constB135) | v121(constB135, bitIndex0) | v121(constB135, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.25 tff(32852,plain,
% 136.56/87.25 ($false),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32851, 32788, 32776, 22602, 32770])).
% 136.56/87.25 tff(32853,plain,(v123(constB136, bitIndex2) | v145(constB135) | (~v94(constB136)) | v84(constB136, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.25 tff(32854,plain,
% 136.56/87.25 (v123(constB136, bitIndex2)),
% 136.56/87.25 inference(unit_resolution,[status(thm)],[32853, 32598, 32770, 32771])).
% 136.56/87.26 tff(32855,assumption,(v123(constB136, bitIndex2)), introduced(assumption)).
% 136.56/87.26 tff(32856,plain,
% 136.56/87.26 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB136)) | (~less_3(bitIndex2)) | (~v123(constB136, bitIndex2)) | v84(constB136, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex2)) | (~v123(constB136, bitIndex2)) | v84(constB136, bitIndex2))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32857,plain,
% 136.56/87.26 (((~less_3(bitIndex2)) | (~v94(constB136)) | v84(constB136, bitIndex2) | (~v123(constB136, bitIndex2))) <=> ((~v94(constB136)) | (~less_3(bitIndex2)) | (~v123(constB136, bitIndex2)) | v84(constB136, bitIndex2))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32858,plain,
% 136.56/87.26 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB136)) | v84(constB136, bitIndex2) | (~v123(constB136, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB136)) | (~less_3(bitIndex2)) | (~v123(constB136, bitIndex2)) | v84(constB136, bitIndex2)))),
% 136.56/87.26 inference(monotonicity,[status(thm)],[32857])).
% 136.56/87.26 tff(32859,plain,
% 136.56/87.26 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB136)) | v84(constB136, bitIndex2) | (~v123(constB136, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex2)) | (~v123(constB136, bitIndex2)) | v84(constB136, bitIndex2))),
% 136.56/87.26 inference(transitivity,[status(thm)],[32858, 32856])).
% 136.56/87.26 tff(32860,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB136)) | v84(constB136, bitIndex2) | (~v123(constB136, bitIndex2)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32861,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex2)) | (~v123(constB136, bitIndex2)) | v84(constB136, bitIndex2)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32860, 32859])).
% 136.56/87.26 tff(32862,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32861, 1674, 767, 32777, 32599, 32855])).
% 136.56/87.26 tff(32863,plain,((~v123(constB136, bitIndex2)) | (~v94(constB136)) | v84(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32864,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32863, 32854, 32771, 32599])).
% 136.56/87.26 tff(32865,plain,(v84(constB136, bitIndex0) | v84(constB136, bitIndex2) | v145(constB135)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32866,plain,
% 136.56/87.26 (v84(constB136, bitIndex0)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32865, 32599, 32770])).
% 136.56/87.26 tff(32867,plain,
% 136.56/87.26 (v94(constB136) | v84(constB135, bitIndex0)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32763, 805, 795, 22576, 32866])).
% 136.56/87.26 tff(32868,plain,
% 136.56/87.26 (v84(constB135, bitIndex0)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32867, 22573])).
% 136.56/87.26 tff(32869,plain,
% 136.56/87.26 (v94(constB136) | (~v84(constB135, bitIndex2))),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32605, 777, 767, 22576, 32599])).
% 136.56/87.26 tff(32870,plain,
% 136.56/87.26 (~v84(constB135, bitIndex2)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32869, 22573])).
% 136.56/87.26 tff(32871,plain,
% 136.56/87.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB135) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB135) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32872,plain,
% 136.56/87.26 (((~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135)) <=> (v145(constB135) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32873,plain,
% 136.56/87.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB135) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0))))),
% 136.56/87.26 inference(monotonicity,[status(thm)],[32872])).
% 136.56/87.26 tff(32874,plain,
% 136.56/87.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB135) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)))),
% 136.56/87.26 inference(transitivity,[status(thm)],[32873, 32871])).
% 136.56/87.26 tff(32875,plain,
% 136.56/87.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB135, bitIndex0)) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | v145(constB135))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32876,plain,
% 136.56/87.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB135) | v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32875, 32874])).
% 136.56/87.26 tff(32877,plain,
% 136.56/87.26 (v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0))),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32876, 865, 32770, 22267])).
% 136.56/87.26 tff(32878,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32877, 32870, 32868])).
% 136.56/87.26 tff(32879,plain,(v94(constB136) | v145(constB135) | v84(constB135, bitIndex1) | v84(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32880,plain,
% 136.56/87.26 (v84(constB135, bitIndex1)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32879, 22573, 32599, 32770])).
% 136.56/87.26 tff(32881,plain,
% 136.56/87.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)) | v116(constB135))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)) | v116(constB135))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32882,plain,
% 136.56/87.26 (((~v84(constB135, bitIndex0)) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | v116(constB135)) <=> ((~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)) | v116(constB135))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32883,plain,
% 136.56/87.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB135, bitIndex0)) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | v116(constB135))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)) | v116(constB135)))),
% 136.56/87.26 inference(monotonicity,[status(thm)],[32882])).
% 136.56/87.26 tff(32884,plain,
% 136.56/87.26 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB135, bitIndex0)) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | v116(constB135))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)) | v116(constB135))),
% 136.56/87.26 inference(transitivity,[status(thm)],[32883, 32881])).
% 136.56/87.26 tff(32885,plain,
% 136.56/87.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB135, bitIndex0)) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | v116(constB135))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32886,plain,
% 136.56/87.26 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB135, bitIndex1)) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)) | v116(constB135)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32885, 32884])).
% 136.56/87.26 tff(32887,plain,
% 136.56/87.26 (v116(constB135)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32886, 1076, 32880, 32769, 32765])).
% 136.56/87.26 tff(32888,plain,
% 136.56/87.26 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB135) | (~v116(constB135)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB135) | (~v116(constB135)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32889,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB135) | (~v116(constB135)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32890,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB135) | (~v116(constB135))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32889, 32888])).
% 136.56/87.26 tff(32891,plain,
% 136.56/87.26 (v110(constB135)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32890, 934, 32887])).
% 136.56/87.26 tff(32892,plain,
% 136.56/87.26 (v109(constB135)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32670, 680, 32891])).
% 136.56/87.26 tff(32893,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32666, 669, 32892, 32704])).
% 136.56/87.26 tff(32894,plain,(v94(constB136) | (~v84(constB136, bitIndex0)) | v84(constB136, bitIndex2) | v145(constB135)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32895,plain,
% 136.56/87.26 (v84(constB136, bitIndex2)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32894, 32597, 32756, 32753])).
% 136.56/87.26 tff(32896,assumption,(~v84(constB137, bitIndex2)), introduced(assumption)).
% 136.56/87.26 tff(32897,plain,
% 136.56/87.26 ((~v1(constB137)) <=> (~v1(constB137))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32898,axiom,(~v1(constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_137_1_1')).
% 136.56/87.26 tff(32899,plain,
% 136.56/87.26 (~v1(constB137)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32898, 32897])).
% 136.56/87.26 tff(32900,plain,
% 136.56/87.26 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32901,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_136_1')).
% 136.56/87.26 tff(32902,plain,
% 136.56/87.26 (nextState(constB136, constB137)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32901, 32900])).
% 136.56/87.26 tff(32903,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32904,plain,
% 136.56/87.26 (((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137)) <=> (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32905,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))))),
% 136.56/87.26 inference(monotonicity,[status(thm)],[32904])).
% 136.56/87.26 tff(32906,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137)))),
% 136.56/87.26 inference(transitivity,[status(thm)],[32905, 32903])).
% 136.56/87.26 tff(32907,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB136, constB137)) | (~v95(constB137)) | v1(constB137))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32908,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB137) | (~nextState(constB136, constB137)) | (~v95(constB137))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32907, 32906])).
% 136.56/87.26 tff(32909,plain,
% 136.56/87.26 (~v95(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32908, 742, 32902, 32899])).
% 136.56/87.26 tff(32910,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32911,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32912,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB136, constB137)) | v95(constB137) | (~v94(constB137))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32911, 32910])).
% 136.56/87.26 tff(32913,plain,
% 136.56/87.26 (v95(constB137) | (~v94(constB137))),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32912, 759, 32902])).
% 136.56/87.26 tff(32914,plain,
% 136.56/87.26 (~v94(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32913, 32909])).
% 136.56/87.26 tff(32915,plain,
% 136.56/87.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex2)) | v84(constB137, bitIndex2) | (~v84(constB136, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex2)) | v84(constB137, bitIndex2) | (~v84(constB136, bitIndex2)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32916,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex2)) | v84(constB137, bitIndex2) | (~v84(constB136, bitIndex2)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32917,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex2)) | v84(constB137, bitIndex2) | (~v84(constB136, bitIndex2))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32916, 32915])).
% 136.56/87.26 tff(32918,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32917, 777, 767, 32902, 32914, 32710, 32896])).
% 136.56/87.26 tff(32919,plain,(v84(constB137, bitIndex2) | (~v84(constB136, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32920,plain,
% 136.56/87.26 (v84(constB137, bitIndex2)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32919, 32895])).
% 136.56/87.26 tff(32921,plain,
% 136.56/87.26 (v84(constB136, bitIndex1)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[22584, 32597, 22571])).
% 136.56/87.26 tff(32922,assumption,(~v84(constB137, bitIndex1)), introduced(assumption)).
% 136.56/87.26 tff(32923,plain,
% 136.56/87.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex1)) | v84(constB137, bitIndex1) | (~v84(constB136, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex1)) | v84(constB137, bitIndex1) | (~v84(constB136, bitIndex1)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32924,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex1)) | v84(constB137, bitIndex1) | (~v84(constB136, bitIndex1)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32925,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex1)) | v84(constB137, bitIndex1) | (~v84(constB136, bitIndex1))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32924, 32923])).
% 136.56/87.26 tff(32926,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32925, 777, 823, 32902, 32914, 32729, 32922])).
% 136.56/87.26 tff(32927,plain,(v84(constB137, bitIndex1) | (~v84(constB136, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32928,plain,
% 136.56/87.26 (v84(constB137, bitIndex1)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32927, 32921])).
% 136.56/87.26 tff(32929,assumption,(~v84(constB137, bitIndex0)), introduced(assumption)).
% 136.56/87.26 tff(32930,plain,
% 136.56/87.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex0)) | v84(constB137, bitIndex0) | (~v84(constB136, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex0)) | v84(constB137, bitIndex0) | (~v84(constB136, bitIndex0)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32931,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex0)) | v84(constB137, bitIndex0) | (~v84(constB136, bitIndex0)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32932,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB136, constB137)) | v94(constB137) | (~less_3(bitIndex0)) | v84(constB137, bitIndex0) | (~v84(constB136, bitIndex0))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32931, 32930])).
% 136.56/87.26 tff(32933,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32932, 777, 795, 32902, 32914, 32757, 32929])).
% 136.56/87.26 tff(32934,plain,(v84(constB137, bitIndex0) | (~v84(constB136, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32935,plain,
% 136.56/87.26 (v84(constB137, bitIndex0)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32934, 32753])).
% 136.56/87.26 tff(32936,assumption,(~v84(constB138, bitIndex2)), introduced(assumption)).
% 136.56/87.26 tff(32937,assumption,(v84(constB137, bitIndex2)), introduced(assumption)).
% 136.56/87.26 tff(32938,assumption,(~v94(constB138)), introduced(assumption)).
% 136.56/87.26 tff(32939,plain,
% 136.56/87.26 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32940,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_137_1')).
% 136.56/87.26 tff(32941,plain,
% 136.56/87.26 (nextState(constB137, constB138)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32940, 32939])).
% 136.56/87.26 tff(32942,plain,
% 136.56/87.26 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex2)) | v84(constB138, bitIndex2) | (~v84(constB137, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex2)) | v84(constB138, bitIndex2) | (~v84(constB137, bitIndex2)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32943,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex2)) | v84(constB138, bitIndex2) | (~v84(constB137, bitIndex2)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32944,plain,
% 136.56/87.26 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex2)) | v84(constB138, bitIndex2) | (~v84(constB137, bitIndex2))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32943, 32942])).
% 136.56/87.26 tff(32945,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32944, 777, 767, 32941, 32938, 32936, 32937])).
% 136.56/87.26 tff(32946,plain,(v84(constB138, bitIndex2) | v94(constB138) | (~v84(constB137, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32947,plain,
% 136.56/87.26 (v94(constB138)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32946, 32920, 32936])).
% 136.56/87.26 tff(32948,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v94(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v94(constB138)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32949,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v94(constB138)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32950,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v94(constB138))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32949, 32948])).
% 136.56/87.26 tff(32951,plain,
% 136.56/87.26 (v104(constB138) | (~v94(constB138))),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32950, 3113, 32941])).
% 136.56/87.26 tff(32952,plain,
% 136.56/87.26 (v104(constB138)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32951, 32947])).
% 136.56/87.26 tff(32953,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB137, constB138)) | (~v104(constB138)) | v102(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB137, constB138)) | (~v104(constB138)) | v102(constB137))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32954,plain,
% 136.56/87.26 (((~nextState(constB137, constB138)) | v102(constB137) | (~v104(constB138))) <=> ((~nextState(constB137, constB138)) | (~v104(constB138)) | v102(constB137))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32955,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB137, constB138)) | v102(constB137) | (~v104(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB137, constB138)) | (~v104(constB138)) | v102(constB137)))),
% 136.56/87.26 inference(monotonicity,[status(thm)],[32954])).
% 136.56/87.26 tff(32956,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB137, constB138)) | v102(constB137) | (~v104(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB137, constB138)) | (~v104(constB138)) | v102(constB137))),
% 136.56/87.26 inference(transitivity,[status(thm)],[32955, 32953])).
% 136.56/87.26 tff(32957,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB137, constB138)) | v102(constB137) | (~v104(constB138)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32958,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB137, constB138)) | (~v104(constB138)) | v102(constB137)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32957, 32956])).
% 136.56/87.26 tff(32959,plain,
% 136.56/87.26 ((~v104(constB138)) | v102(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32958, 3128, 32941])).
% 136.56/87.26 tff(32960,plain,
% 136.56/87.26 (v102(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32959, 32952])).
% 136.56/87.26 tff(32961,assumption,(v26(constB136)), introduced(assumption)).
% 136.56/87.26 tff(32962,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB136))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32963,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32962, 1172, 32961])).
% 136.56/87.26 tff(32964,plain,(~v26(constB136)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32965,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB136, constB137)) | v26(constB136) | (~v66(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB136, constB137)) | v26(constB136) | (~v66(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32966,plain,
% 136.56/87.26 ((v26(constB136) | (~nextState(constB136, constB137)) | (~v66(constB137))) <=> ((~nextState(constB136, constB137)) | v26(constB136) | (~v66(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32967,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB136) | (~nextState(constB136, constB137)) | (~v66(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | ((~nextState(constB136, constB137)) | v26(constB136) | (~v66(constB137))))),
% 136.56/87.26 inference(monotonicity,[status(thm)],[32966])).
% 136.56/87.26 tff(32968,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB136) | (~nextState(constB136, constB137)) | (~v66(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB136, constB137)) | v26(constB136) | (~v66(constB137)))),
% 136.56/87.26 inference(transitivity,[status(thm)],[32967, 32965])).
% 136.56/87.26 tff(32969,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (v26(constB136) | (~nextState(constB136, constB137)) | (~v66(constB137)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32970,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : (v26(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v66(VarNext)))) | (~nextState(constB136, constB137)) | v26(constB136) | (~v66(constB137))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32969, 32968])).
% 136.56/87.26 tff(32971,plain,
% 136.56/87.26 (v26(constB136) | (~v66(constB137))),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32970, 3286, 32902])).
% 136.56/87.26 tff(32972,plain,
% 136.56/87.26 (~v66(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32971, 32964])).
% 136.56/87.26 tff(32973,assumption,(v18(constB138)), introduced(assumption)).
% 136.56/87.26 tff(32974,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (~v18(VarCurr))) | (~v18(constB138))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32975,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32974, 123, 32973])).
% 136.56/87.26 tff(32976,plain,(~v18(constB138)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(32977,plain,
% 136.56/87.26 (v1(constB138) <=> v1(constB138)),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32978,axiom,(v1(constB138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_138_1')).
% 136.56/87.26 tff(32979,plain,
% 136.56/87.26 (v1(constB138)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32978, 32977])).
% 136.56/87.26 tff(32980,plain,
% 136.56/87.26 (((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))) <=> ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32981,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | (v22(constB138) | (~v1(constB138)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32982,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v22(VarCurr) | (~v1(VarCurr)))) | v22(constB138) | (~v1(constB138))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32981, 32980])).
% 136.56/87.26 tff(32983,plain,
% 136.56/87.26 (v22(constB138)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32982, 133, 32979])).
% 136.56/87.26 tff(32984,plain,
% 136.56/87.26 (((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB138)) | (~v22(constB138)) | v18(constB138))) <=> ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB138)) | (~v22(constB138)) | v18(constB138))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32985,plain,
% 136.56/87.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | ((~v19(constB138)) | (~v22(constB138)) | v18(constB138))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32986,plain,
% 136.56/87.26 ((~![VarCurr: $i] : ((~v19(VarCurr)) | (~v22(VarCurr)) | v18(VarCurr))) | (~v19(constB138)) | (~v22(constB138)) | v18(constB138)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32985, 32984])).
% 136.56/87.26 tff(32987,plain,
% 136.56/87.26 ((~v19(constB138)) | v18(constB138)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32986, 147, 32983])).
% 136.56/87.26 tff(32988,plain,
% 136.56/87.26 (~v19(constB138)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32987, 32976])).
% 136.56/87.26 tff(32989,plain,
% 136.56/87.26 (((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))) <=> ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32990,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | (v13(constB138) | v19(constB138))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32991,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v13(VarCurr) | v19(VarCurr))) | v13(constB138) | v19(constB138)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32990, 32989])).
% 136.56/87.26 tff(32992,plain,
% 136.56/87.26 (v13(constB138)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32991, 162, 32988])).
% 136.56/87.26 tff(32993,plain,
% 136.56/87.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32994,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | ((~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(32995,plain,
% 136.56/87.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v13(VarNext)) | v9(VarCurr))) | (~nextState(constB137, constB138)) | (~v13(constB138)) | v9(constB137)),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[32994, 32993])).
% 136.56/87.26 tff(32996,plain,
% 136.56/87.26 ((~v13(constB138)) | v9(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32995, 176, 32941])).
% 136.56/87.26 tff(32997,plain,
% 136.56/87.26 (v9(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[32996, 32992])).
% 136.56/87.26 tff(32998,plain,
% 136.56/87.26 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB137) | v64(constB137) | (~v9(constB137)))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB137) | v64(constB137) | (~v9(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(32999,plain,
% 136.56/87.26 ((v1(constB137) | (~v9(constB137)) | v64(constB137)) <=> (v1(constB137) | v64(constB137) | (~v9(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(33000,plain,
% 136.56/87.26 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v64(constB137))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB137) | v64(constB137) | (~v9(constB137))))),
% 136.56/87.26 inference(monotonicity,[status(thm)],[32999])).
% 136.56/87.26 tff(33001,plain,
% 136.56/87.26 (((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v64(constB137))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB137) | v64(constB137) | (~v9(constB137)))),
% 136.56/87.26 inference(transitivity,[status(thm)],[33000, 32998])).
% 136.56/87.26 tff(33002,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | (v1(constB137) | (~v9(constB137)) | v64(constB137))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(33003,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v1(VarCurr) | (~v9(VarCurr)) | v64(VarCurr))) | v1(constB137) | v64(constB137) | (~v9(constB137))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[33002, 33001])).
% 136.56/87.26 tff(33004,plain,
% 136.56/87.26 (v64(constB137) | (~v9(constB137))),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[33003, 3304, 32899])).
% 136.56/87.26 tff(33005,plain,
% 136.56/87.26 (v64(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[33004, 32997])).
% 136.56/87.26 tff(33006,plain,
% 136.56/87.26 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB137)) | v66(constB137) | (~v64(constB137)))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB137)) | v66(constB137) | (~v64(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(33007,plain,
% 136.56/87.26 (((~v64(constB137)) | (~v60(constB137)) | v66(constB137)) <=> ((~v60(constB137)) | v66(constB137) | (~v64(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(33008,plain,
% 136.56/87.26 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB137)) | (~v60(constB137)) | v66(constB137))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v60(constB137)) | v66(constB137) | (~v64(constB137))))),
% 136.56/87.26 inference(monotonicity,[status(thm)],[33007])).
% 136.56/87.26 tff(33009,plain,
% 136.56/87.26 (((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB137)) | (~v60(constB137)) | v66(constB137))) <=> ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB137)) | v66(constB137) | (~v64(constB137)))),
% 136.56/87.26 inference(transitivity,[status(thm)],[33008, 33006])).
% 136.56/87.26 tff(33010,plain,
% 136.56/87.26 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | ((~v64(constB137)) | (~v60(constB137)) | v66(constB137))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(33011,plain,
% 136.56/87.26 ((~![VarNext: $i] : ((~v64(VarNext)) | (~v60(VarNext)) | v66(VarNext))) | (~v60(constB137)) | v66(constB137) | (~v64(constB137))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[33010, 33009])).
% 136.56/87.26 tff(33012,plain,
% 136.56/87.26 ((~v60(constB137)) | v66(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[33011, 3322, 33005])).
% 136.56/87.26 tff(33013,plain,
% 136.56/87.26 (~v60(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[33012, 32972])).
% 136.56/87.26 tff(33014,assumption,(v71(constB137)), introduced(assumption)).
% 136.56/87.26 tff(33015,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (~v71(VarCurr))) | (~v71(constB137))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(33016,plain,
% 136.56/87.26 ($false),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[33015, 3338, 33014])).
% 136.56/87.26 tff(33017,plain,(~v71(constB137)), inference(lemma,lemma(discharge,[]))).
% 136.56/87.26 tff(33018,plain,
% 136.56/87.26 (((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB137) | (~v9(constB137)))) <=> ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB137) | (~v9(constB137)))),
% 136.56/87.26 inference(rewrite,[status(thm)],[])).
% 136.56/87.26 tff(33019,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | (v80(constB137) | (~v9(constB137)))),
% 136.56/87.26 inference(quant_inst,[status(thm)],[])).
% 136.56/87.26 tff(33020,plain,
% 136.56/87.26 ((~![VarCurr: $i] : (v80(VarCurr) | (~v9(VarCurr)))) | v80(constB137) | (~v9(constB137))),
% 136.56/87.26 inference(modus_ponens,[status(thm)],[33019, 33018])).
% 136.56/87.26 tff(33021,plain,
% 136.56/87.26 (v80(constB137)),
% 136.56/87.26 inference(unit_resolution,[status(thm)],[33020, 3348, 32997])).
% 136.56/87.27 tff(33022,plain,
% 136.56/87.27 (((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB137) | v78(constB137))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB137) | v78(constB137))),
% 136.56/87.27 inference(rewrite,[status(thm)],[])).
% 136.56/87.27 tff(33023,plain,
% 136.56/87.27 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | (v1(constB137) | v78(constB137))),
% 136.56/87.27 inference(quant_inst,[status(thm)],[])).
% 136.56/87.27 tff(33024,plain,
% 136.56/87.27 ((~![VarCurr: $i] : (v1(VarCurr) | v78(VarCurr))) | v1(constB137) | v78(constB137)),
% 136.56/87.27 inference(modus_ponens,[status(thm)],[33023, 33022])).
% 136.56/87.27 tff(33025,plain,
% 136.56/87.27 (v78(constB137)),
% 136.56/87.27 inference(unit_resolution,[status(thm)],[33024, 3362, 32899])).
% 136.56/87.27 tff(33026,plain,
% 136.56/87.27 (((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB137)) | (~v80(constB137)) | v76(constB137))) <=> ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB137)) | (~v80(constB137)) | v76(constB137))),
% 136.56/87.27 inference(rewrite,[status(thm)],[])).
% 136.56/87.27 tff(33027,plain,
% 136.56/87.27 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | ((~v78(constB137)) | (~v80(constB137)) | v76(constB137))),
% 136.56/87.27 inference(quant_inst,[status(thm)],[])).
% 136.56/87.27 tff(33028,plain,
% 136.56/87.27 ((~![VarCurr: $i] : ((~v78(VarCurr)) | (~v80(VarCurr)) | v76(VarCurr))) | (~v78(constB137)) | (~v80(constB137)) | v76(constB137)),
% 136.56/87.27 inference(modus_ponens,[status(thm)],[33027, 33026])).
% 136.56/87.27 tff(33029,plain,
% 136.56/87.27 ((~v80(constB137)) | v76(constB137)),
% 136.56/87.27 inference(unit_resolution,[status(thm)],[33028, 3376, 33025])).
% 136.56/87.27 tff(33030,plain,
% 136.56/87.27 (v76(constB137)),
% 136.56/87.27 inference(unit_resolution,[status(thm)],[33029, 33021])).
% 136.56/87.27 tff(33031,plain,
% 136.56/87.27 (((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB137)) | (~v76(constB137)) | v71(constB137))) <=> ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB137)) | (~v76(constB137)) | v71(constB137))),
% 136.56/87.27 inference(rewrite,[status(thm)],[])).
% 136.56/87.27 tff(33032,plain,
% 136.56/87.27 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | ((~v72(constB137)) | (~v76(constB137)) | v71(constB137))),
% 136.56/87.27 inference(quant_inst,[status(thm)],[])).
% 136.56/87.27 tff(33033,plain,
% 136.56/87.27 ((~![VarCurr: $i] : ((~v72(VarCurr)) | (~v76(VarCurr)) | v71(VarCurr))) | (~v72(constB137)) | (~v76(constB137)) | v71(constB137)),
% 136.56/87.27 inference(modus_ponens,[status(thm)],[33032, 33031])).
% 136.56/87.27 tff(33034,plain,
% 136.56/87.27 ((~v72(constB137)) | v71(constB137)),
% 136.56/87.27 inference(unit_resolution,[status(thm)],[33033, 3391, 33030])).
% 136.56/87.27 tff(33035,plain,
% 136.56/87.27 (~v72(constB137)),
% 136.56/87.27 inference(unit_resolution,[status(thm)],[33034, 33017])).
% 136.56/87.27 tff(33036,plain,
% 136.56/87.27 (((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB137) | v72(constB137) | v74(constB137))) <=> ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB137) | v72(constB137) | v74(constB137))),
% 136.56/87.27 inference(rewrite,[status(thm)],[])).
% 136.56/87.27 tff(33037,plain,
% 136.56/87.27 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | (v1(constB137) | v72(constB137) | v74(constB137))),
% 136.56/87.27 inference(quant_inst,[status(thm)],[])).
% 136.56/87.27 tff(33038,plain,
% 136.56/87.27 ((~![VarCurr: $i] : (v1(VarCurr) | v72(VarCurr) | v74(VarCurr))) | v1(constB137) | v72(constB137) | v74(constB137)),
% 136.56/87.27 inference(modus_ponens,[status(thm)],[33037, 33036])).
% 136.56/87.27 tff(33039,plain,
% 136.56/87.27 (v72(constB137) | v74(constB137)),
% 136.56/87.27 inference(unit_resolution,[status(thm)],[33038, 3406, 32899])).
% 136.56/87.27 tff(33040,plain,
% 136.56/87.27 (v74(constB137)),
% 136.56/87.27 inference(unit_resolution,[status(thm)],[33039, 33035])).
% 136.56/87.27 tff(33041,plain,
% 136.56/87.27 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB137) | (~v26(constB137)) | (~v74(constB137)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB137) | (~v26(constB137)) | (~v74(constB137)))),
% 136.56/87.27 inference(rewrite,[status(thm)],[])).
% 136.56/87.27 tff(33042,plain,
% 136.56/87.27 (((~v26(constB137)) | v60(constB137) | (~v74(constB137))) <=> (v60(constB137) | (~v26(constB137)) | (~v74(constB137)))),
% 136.56/87.27 inference(rewrite,[status(thm)],[])).
% 136.56/87.27 tff(33043,plain,
% 136.56/87.27 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB137)) | v60(constB137) | (~v74(constB137)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | (v60(constB137) | (~v26(constB137)) | (~v74(constB137))))),
% 136.63/87.27 inference(monotonicity,[status(thm)],[33042])).
% 136.63/87.27 tff(33044,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB137)) | v60(constB137) | (~v74(constB137)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB137) | (~v26(constB137)) | (~v74(constB137)))),
% 136.63/87.27 inference(transitivity,[status(thm)],[33043, 33041])).
% 136.63/87.27 tff(33045,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | ((~v26(constB137)) | v60(constB137) | (~v74(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33046,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v26(VarCurr)) | v60(VarCurr) | (~v74(VarCurr)))) | v60(constB137) | (~v26(constB137)) | (~v74(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33045, 33044])).
% 136.63/87.27 tff(33047,plain,
% 136.63/87.27 (v60(constB137) | (~v26(constB137))),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33046, 3421, 33040])).
% 136.63/87.27 tff(33048,plain,
% 136.63/87.27 (~v26(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33047, 33013])).
% 136.63/87.27 tff(33049,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB137)) | v26(constB137) | v106(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB137)) | v26(constB137) | v106(constB137))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33050,plain,
% 136.63/87.27 ((v26(constB137) | v106(constB137) | (~v102(constB137))) <=> ((~v102(constB137)) | v26(constB137) | v106(constB137))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33051,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB137) | v106(constB137) | (~v102(constB137)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB137)) | v26(constB137) | v106(constB137)))),
% 136.63/87.27 inference(monotonicity,[status(thm)],[33050])).
% 136.63/87.27 tff(33052,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB137) | v106(constB137) | (~v102(constB137)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB137)) | v26(constB137) | v106(constB137))),
% 136.63/87.27 inference(transitivity,[status(thm)],[33051, 33049])).
% 136.63/87.27 tff(33053,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB137) | v106(constB137) | (~v102(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33054,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB137)) | v26(constB137) | v106(constB137)),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33053, 33052])).
% 136.63/87.27 tff(33055,plain,
% 136.63/87.27 ((~v102(constB137)) | v106(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33054, 3146, 33048])).
% 136.63/87.27 tff(33056,plain,
% 136.63/87.27 (v106(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33055, 32960])).
% 136.63/87.27 tff(33057,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB137) | (~v106(constB137)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB137) | (~v106(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33058,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB137) | (~v106(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33059,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB137) | (~v106(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33058, 33057])).
% 136.63/87.27 tff(33060,plain,
% 136.63/87.27 (v107(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33059, 3161, 33056])).
% 136.63/87.27 tff(33061,assumption,(v84(constB137, bitIndex1)), introduced(assumption)).
% 136.63/87.27 tff(33062,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB137)) | (~v84(constB137, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB137)) | (~v84(constB137, bitIndex1)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33063,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB137)) | (~v84(constB137, bitIndex1)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33064,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB137)) | (~v84(constB137, bitIndex1))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33063, 33062])).
% 136.63/87.27 tff(33065,plain,
% 136.63/87.27 (~v113(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33064, 1465, 33061])).
% 136.63/87.27 tff(33066,assumption,(~v145(constB137)), introduced(assumption)).
% 136.63/87.27 tff(33067,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB137) | v113(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB137) | v113(constB137) | (~v112(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33068,plain,
% 136.63/87.27 ((v113(constB137) | (~v112(constB137)) | v145(constB137)) <=> (v145(constB137) | v113(constB137) | (~v112(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33069,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB137) | (~v112(constB137)) | v145(constB137))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB137) | v113(constB137) | (~v112(constB137))))),
% 136.63/87.27 inference(monotonicity,[status(thm)],[33068])).
% 136.63/87.27 tff(33070,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB137) | (~v112(constB137)) | v145(constB137))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB137) | v113(constB137) | (~v112(constB137)))),
% 136.63/87.27 inference(transitivity,[status(thm)],[33069, 33067])).
% 136.63/87.27 tff(33071,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB137) | (~v112(constB137)) | v145(constB137))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33072,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB137) | v113(constB137) | (~v112(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33071, 33070])).
% 136.63/87.27 tff(33073,plain,
% 136.63/87.27 (v113(constB137) | (~v112(constB137))),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33072, 2894, 33066])).
% 136.63/87.27 tff(33074,plain,
% 136.63/87.27 (~v112(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33073, 33065])).
% 136.63/87.27 tff(33075,assumption,(v115(constB137)), introduced(assumption)).
% 136.63/87.27 tff(33076,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB137, bitIndex2)) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB137, bitIndex2)) | (~v115(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33077,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB137, bitIndex2)) | (~v115(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33078,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB137, bitIndex2)) | (~v115(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33077, 33076])).
% 136.63/87.27 tff(33079,plain,
% 136.63/87.27 ($false),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33078, 2665, 32937, 33075])).
% 136.63/87.27 tff(33080,plain,((~v115(constB137)) | (~v84(constB137, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.27 tff(33081,plain,
% 136.63/87.27 (~v115(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33080, 32937])).
% 136.63/87.27 tff(33082,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB137) | v115(constB137) | (~v111(constB137)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB137) | v115(constB137) | (~v111(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33083,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB137) | v115(constB137) | (~v111(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33084,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB137) | v115(constB137) | (~v111(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33083, 33082])).
% 136.63/87.27 tff(33085,plain,
% 136.63/87.27 (~v111(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33084, 2911, 33081, 33074])).
% 136.63/87.27 tff(33086,assumption,(v84(constB137, bitIndex0)), introduced(assumption)).
% 136.63/87.27 tff(33087,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB137, bitIndex0)) | (~v119(constB137)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB137, bitIndex0)) | (~v119(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33088,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB137, bitIndex0)) | (~v119(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33089,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB137, bitIndex0)) | (~v119(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33088, 33087])).
% 136.63/87.27 tff(33090,plain,
% 136.63/87.27 (~v119(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33089, 3173, 33086])).
% 136.63/87.27 tff(33091,assumption,(v107(constB137)), introduced(assumption)).
% 136.63/87.27 tff(33092,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB137) | v119(constB137) | (~v107(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB137) | v119(constB137) | (~v107(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33093,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB137) | v119(constB137) | (~v107(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33094,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB137) | v119(constB137) | (~v107(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33093, 33092])).
% 136.63/87.27 tff(33095,plain,
% 136.63/87.27 (v108(constB137) | v119(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33094, 3195, 33091])).
% 136.63/87.27 tff(33096,plain,
% 136.63/87.27 (v108(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33095, 33090])).
% 136.63/87.27 tff(33097,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB137, bitIndex1)) | (~v118(constB137)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB137, bitIndex1)) | (~v118(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33098,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB137, bitIndex1)) | (~v118(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33099,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB137, bitIndex1)) | (~v118(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33098, 33097])).
% 136.63/87.27 tff(33100,plain,
% 136.63/87.27 (~v118(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33099, 2842, 33061])).
% 136.63/87.27 tff(33101,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB137) | v118(constB137) | (~v108(constB137)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB137) | v118(constB137) | (~v108(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33102,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB137) | v118(constB137) | (~v108(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33103,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB137) | v118(constB137) | (~v108(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33102, 33101])).
% 136.63/87.27 tff(33104,plain,
% 136.63/87.27 (v109(constB137) | (~v108(constB137))),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33103, 2856, 33100])).
% 136.63/87.27 tff(33105,plain,
% 136.63/87.27 (v109(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33104, 33096])).
% 136.63/87.27 tff(33106,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB137, bitIndex1)) | (~v172(constB137)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB137, bitIndex1)) | (~v172(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33107,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB137, bitIndex1)) | (~v172(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33108,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB137, bitIndex1)) | (~v172(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33107, 33106])).
% 136.63/87.27 tff(33109,plain,
% 136.63/87.27 (~v172(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33108, 2289, 33061])).
% 136.63/87.27 tff(33110,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB137)) | v172(constB137) | v110(constB137))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB137)) | v172(constB137) | v110(constB137))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33111,plain,
% 136.63/87.27 ((v110(constB137) | (~v109(constB137)) | v172(constB137)) <=> ((~v109(constB137)) | v172(constB137) | v110(constB137))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33112,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB137) | (~v109(constB137)) | v172(constB137))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB137)) | v172(constB137) | v110(constB137)))),
% 136.63/87.27 inference(monotonicity,[status(thm)],[33111])).
% 136.63/87.27 tff(33113,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB137) | (~v109(constB137)) | v172(constB137))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB137)) | v172(constB137) | v110(constB137))),
% 136.63/87.27 inference(transitivity,[status(thm)],[33112, 33110])).
% 136.63/87.27 tff(33114,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB137) | (~v109(constB137)) | v172(constB137))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33115,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB137)) | v172(constB137) | v110(constB137)),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33114, 33113])).
% 136.63/87.27 tff(33116,plain,
% 136.63/87.27 ((~v109(constB137)) | v110(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33115, 2871, 33109])).
% 136.63/87.27 tff(33117,plain,
% 136.63/87.27 (v110(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33116, 33105])).
% 136.63/87.27 tff(33118,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB137, bitIndex2)) | (~v116(constB137)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB137, bitIndex2)) | (~v116(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33119,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB137, bitIndex2)) | (~v116(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33120,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB137, bitIndex2)) | (~v116(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33119, 33118])).
% 136.63/87.27 tff(33121,plain,
% 136.63/87.27 (~v116(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33120, 1130, 32937])).
% 136.63/87.27 tff(33122,plain,
% 136.63/87.27 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB137) | v116(constB137) | (~v110(constB137)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB137) | v116(constB137) | (~v110(constB137)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33123,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB137) | v116(constB137) | (~v110(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33124,plain,
% 136.63/87.27 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB137) | v116(constB137) | (~v110(constB137))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33123, 33122])).
% 136.63/87.27 tff(33125,plain,
% 136.63/87.27 ($false),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33124, 2932, 33121, 33117, 33085])).
% 136.63/87.27 tff(33126,plain,(v145(constB137) | (~v107(constB137)) | (~v84(constB137, bitIndex2)) | (~v84(constB137, bitIndex0)) | (~v84(constB137, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.27 tff(33127,plain,
% 136.63/87.27 (v145(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33126, 33060, 32920, 32935, 32928])).
% 136.63/87.27 tff(33128,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB137)) | (~v84(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB137)) | (~v84(constB137, bitIndex2)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33129,plain,
% 136.63/87.27 (((~v84(constB137, bitIndex2)) | (~v145(constB137))) <=> ((~v145(constB137)) | (~v84(constB137, bitIndex2)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33130,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB137, bitIndex2)) | (~v145(constB137)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB137)) | (~v84(constB137, bitIndex2))))),
% 136.63/87.27 inference(monotonicity,[status(thm)],[33129])).
% 136.63/87.27 tff(33131,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB137, bitIndex2)) | (~v145(constB137)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB137)) | (~v84(constB137, bitIndex2)))),
% 136.63/87.27 inference(transitivity,[status(thm)],[33130, 33128])).
% 136.63/87.27 tff(33132,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB137, bitIndex2)) | (~v145(constB137)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33133,plain,
% 136.63/87.27 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB137)) | (~v84(constB137, bitIndex2))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33132, 33131])).
% 136.63/87.27 tff(33134,plain,
% 136.63/87.27 ($false),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33133, 725, 33127, 32920])).
% 136.63/87.27 tff(33135,plain,(v94(constB132) | v84(constB138, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.27 tff(33136,plain,
% 136.63/87.27 (v84(constB138, bitIndex2)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33135, 21840])).
% 136.63/87.27 tff(33137,assumption,(~v84(constB138, bitIndex0)), introduced(assumption)).
% 136.63/87.27 tff(33138,plain,
% 136.63/87.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex0)) | v84(constB138, bitIndex0) | (~v84(constB137, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex0)) | v84(constB138, bitIndex0) | (~v84(constB137, bitIndex0)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33139,plain,
% 136.63/87.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex0)) | v84(constB138, bitIndex0) | (~v84(constB137, bitIndex0)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33140,plain,
% 136.63/87.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex0)) | v84(constB138, bitIndex0) | (~v84(constB137, bitIndex0))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33139, 33138])).
% 136.63/87.27 tff(33141,plain,
% 136.63/87.27 ($false),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33140, 777, 795, 32941, 32938, 33086, 33137])).
% 136.63/87.27 tff(33142,plain,(v84(constB138, bitIndex0) | v94(constB138) | (~v84(constB137, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.27 tff(33143,plain,
% 136.63/87.27 (v94(constB138)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33142, 32935, 33137])).
% 136.63/87.27 tff(33144,plain,
% 136.63/87.27 (v104(constB138)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[32951, 33143])).
% 136.63/87.27 tff(33145,plain,
% 136.63/87.27 (v102(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[32959, 33144])).
% 136.63/87.27 tff(33146,plain,
% 136.63/87.27 (v106(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33055, 33145])).
% 136.63/87.27 tff(33147,plain,
% 136.63/87.27 (v107(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33059, 3161, 33146])).
% 136.63/87.27 tff(33148,plain,
% 136.63/87.27 (v145(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33126, 33147, 32920, 32935, 32928])).
% 136.63/87.27 tff(33149,plain,
% 136.63/87.27 ($false),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33133, 725, 33148, 32920])).
% 136.63/87.27 tff(33150,plain,(v94(constB132) | v84(constB138, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.27 tff(33151,plain,
% 136.63/87.27 (v84(constB138, bitIndex0)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33150, 21840])).
% 136.63/87.27 tff(33152,plain,
% 136.63/87.27 ($false),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[22569, 22038, 22050, 22097, 22497])).
% 136.63/87.27 tff(33153,plain,(v94(constB132) | v84(constB134, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.27 tff(33154,plain,
% 136.63/87.27 (v84(constB134, bitIndex1)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33153, 21840])).
% 136.63/87.27 tff(33155,plain,
% 136.63/87.27 (v84(constB135, bitIndex1)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[22272, 33154])).
% 136.63/87.27 tff(33156,plain,
% 136.63/87.27 (~v145(constB135)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[32755, 33155])).
% 136.63/87.27 tff(33157,assumption,(v84(constB138, bitIndex2)), introduced(assumption)).
% 136.63/87.27 tff(33158,plain,
% 136.63/87.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex2)) | (~v84(constB138, bitIndex2)) | v84(constB137, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex2)) | (~v84(constB138, bitIndex2)) | v84(constB137, bitIndex2))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33159,plain,
% 136.63/87.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex2)) | (~v84(constB138, bitIndex2)) | v84(constB137, bitIndex2))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33160,plain,
% 136.63/87.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex2)) | (~v84(constB138, bitIndex2)) | v84(constB137, bitIndex2)),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33159, 33158])).
% 136.63/87.27 tff(33161,plain,
% 136.63/87.27 (v94(constB138) | v84(constB137, bitIndex2)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33160, 805, 767, 32941, 33157])).
% 136.63/87.27 tff(33162,plain,
% 136.63/87.27 (v94(constB138)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33161, 32896])).
% 136.63/87.27 tff(33163,assumption,(v84(constB138, bitIndex0)), introduced(assumption)).
% 136.63/87.27 tff(33164,plain,
% 136.63/87.27 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB138)) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB138)) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33165,plain,
% 136.63/87.27 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB138)) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33166,plain,
% 136.63/87.27 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB138)) | (~v84(constB138, bitIndex0)) | v123(constB138, bitIndex0)),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33165, 33164])).
% 136.63/87.27 tff(33167,plain,
% 136.63/87.27 ((~v94(constB138)) | v123(constB138, bitIndex0)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33166, 1344, 795, 33163])).
% 136.63/87.27 tff(33168,plain,
% 136.63/87.27 (v123(constB138, bitIndex0)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33167, 33162])).
% 136.63/87.27 tff(33169,plain,
% 136.63/87.27 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB137, constB138)) | (~less_3(bitIndex0)) | (~v123(constB138, bitIndex0)) | v121(constB137, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB137, constB138)) | (~less_3(bitIndex0)) | (~v123(constB138, bitIndex0)) | v121(constB137, bitIndex0))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33170,plain,
% 136.63/87.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB137, constB138)) | (~less_3(bitIndex0)) | (~v123(constB138, bitIndex0)) | v121(constB137, bitIndex0))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33171,plain,
% 136.63/87.27 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB137, constB138)) | (~less_3(bitIndex0)) | (~v123(constB138, bitIndex0)) | v121(constB137, bitIndex0)),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33170, 33169])).
% 136.63/87.27 tff(33172,plain,
% 136.63/87.27 (v121(constB137, bitIndex0)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33171, 1362, 795, 32941, 33168])).
% 136.63/87.27 tff(33173,plain,
% 136.63/87.27 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex0)) | (~v121(constB137, bitIndex0)) | v124(constB137, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB137) | (~less_3(bitIndex0)) | (~v121(constB137, bitIndex0)) | v124(constB137, bitIndex0))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33174,plain,
% 136.63/87.27 ((v26(constB137) | (~less_3(bitIndex0)) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0))) <=> (v26(constB137) | (~less_3(bitIndex0)) | (~v121(constB137, bitIndex0)) | v124(constB137, bitIndex0))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33175,plain,
% 136.63/87.27 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex0)) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex0)) | (~v121(constB137, bitIndex0)) | v124(constB137, bitIndex0)))),
% 136.63/87.27 inference(monotonicity,[status(thm)],[33174])).
% 136.63/87.27 tff(33176,plain,
% 136.63/87.27 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex0)) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB137) | (~less_3(bitIndex0)) | (~v121(constB137, bitIndex0)) | v124(constB137, bitIndex0))),
% 136.63/87.27 inference(transitivity,[status(thm)],[33175, 33173])).
% 136.63/87.27 tff(33177,plain,
% 136.63/87.27 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex0)) | v124(constB137, bitIndex0) | (~v121(constB137, bitIndex0)))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33178,plain,
% 136.63/87.27 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB137) | (~less_3(bitIndex0)) | (~v121(constB137, bitIndex0)) | v124(constB137, bitIndex0)),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33177, 33176])).
% 136.63/87.27 tff(33179,plain,
% 136.63/87.27 (v124(constB137, bitIndex0)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33178, 1380, 795, 33048, 33172])).
% 136.63/87.27 tff(33180,plain,
% 136.63/87.27 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB137)) | (~v124(constB137, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33181,plain,
% 136.63/87.27 (((~v116(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33182,plain,
% 136.63/87.27 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB137)) | (~v124(constB137, bitIndex0))))),
% 136.63/87.27 inference(monotonicity,[status(thm)],[33181])).
% 136.63/87.27 tff(33183,plain,
% 136.63/87.27 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.27 inference(transitivity,[status(thm)],[33182, 33180])).
% 136.63/87.27 tff(33184,plain,
% 136.63/87.27 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b100(bitIndex0))),
% 136.63/87.27 inference(quant_inst,[status(thm)],[])).
% 136.63/87.27 tff(33185,plain,
% 136.63/87.27 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB137)) | (~v124(constB137, bitIndex0))),
% 136.63/87.27 inference(modus_ponens,[status(thm)],[33184, 33183])).
% 136.63/87.27 tff(33186,plain,
% 136.63/87.27 (~v116(constB137)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[33185, 2386, 2164, 795, 33179])).
% 136.63/87.27 tff(33187,plain,
% 136.63/87.27 (~v84(constB136, bitIndex2)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[32919, 32896])).
% 136.63/87.27 tff(33188,plain,
% 136.63/87.27 (v84(constB136, bitIndex0)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[32865, 33187, 32770])).
% 136.63/87.27 tff(33189,plain,
% 136.63/87.27 (v84(constB137, bitIndex0)),
% 136.63/87.27 inference(unit_resolution,[status(thm)],[32934, 33188])).
% 136.63/87.27 tff(33190,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v116(constB137))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v116(constB137))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33191,plain,
% 136.63/87.27 (((~v84(constB137, bitIndex0)) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v116(constB137)) <=> ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v116(constB137))),
% 136.63/87.27 inference(rewrite,[status(thm)],[])).
% 136.63/87.27 tff(33192,plain,
% 136.63/87.27 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB137, bitIndex0)) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v116(constB137))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v116(constB137)))),
% 136.63/87.27 inference(monotonicity,[status(thm)],[33191])).
% 136.63/87.28 tff(33193,plain,
% 136.63/87.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB137, bitIndex0)) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v116(constB137))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v116(constB137))),
% 136.63/87.28 inference(transitivity,[status(thm)],[33192, 33190])).
% 136.63/87.28 tff(33194,plain,
% 136.63/87.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB137, bitIndex0)) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v116(constB137))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33195,plain,
% 136.63/87.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v116(constB137)),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33194, 33193])).
% 136.63/87.28 tff(33196,plain,
% 136.63/87.28 (~v84(constB137, bitIndex1)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33195, 1076, 32896, 33189, 33186])).
% 136.63/87.28 tff(33197,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB137)) | (~v124(constB137, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33198,plain,
% 136.63/87.28 (((~v145(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33199,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB137)) | (~v124(constB137, bitIndex0))))),
% 136.63/87.28 inference(monotonicity,[status(thm)],[33198])).
% 136.63/87.28 tff(33200,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(transitivity,[status(thm)],[33199, 33197])).
% 136.63/87.28 tff(33201,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b010(bitIndex0))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33202,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB137)) | (~v124(constB137, bitIndex0))),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33201, 33200])).
% 136.63/87.28 tff(33203,plain,
% 136.63/87.28 (~v145(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33202, 2299, 1416, 795, 33179])).
% 136.63/87.28 tff(33204,plain,
% 136.63/87.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB137) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB137) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33205,plain,
% 136.63/87.28 (((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137)) <=> (v145(constB137) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33206,plain,
% 136.63/87.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB137) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2)))),
% 136.63/87.28 inference(monotonicity,[status(thm)],[33205])).
% 136.63/87.28 tff(33207,plain,
% 136.63/87.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB137) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2))),
% 136.63/87.28 inference(transitivity,[status(thm)],[33206, 33204])).
% 136.63/87.28 tff(33208,plain,
% 136.63/87.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2) | v145(constB137))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33209,plain,
% 136.63/87.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB137) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | v84(constB137, bitIndex2)),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33208, 33207])).
% 136.63/87.28 tff(33210,plain,
% 136.63/87.28 ($false),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33209, 865, 33203, 32896, 33189, 33196])).
% 136.63/87.28 tff(33211,plain,(v84(constB137, bitIndex2) | (~v84(constB138, bitIndex0)) | v145(constB135) | (~v84(constB138, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.28 tff(33212,plain,
% 136.63/87.28 (v84(constB137, bitIndex2)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33211, 33156, 33151, 33136])).
% 136.63/87.28 tff(33213,plain,
% 136.63/87.28 (v84(constB136, bitIndex1)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[22615, 21840])).
% 136.63/87.28 tff(33214,plain,
% 136.63/87.28 (v84(constB137, bitIndex1)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[32927, 33213])).
% 136.63/87.28 tff(33215,plain,
% 136.63/87.28 (~v84(constB137, bitIndex2)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33080, 33075])).
% 136.63/87.28 tff(33216,plain,
% 136.63/87.28 (~v84(constB136, bitIndex2)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[32919, 33215])).
% 136.63/87.28 tff(33217,plain,
% 136.63/87.28 (v84(constB136, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[32865, 33216, 32770])).
% 136.63/87.28 tff(33218,plain,
% 136.63/87.28 (v84(constB137, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[32934, 33217])).
% 136.63/87.28 tff(33219,plain,
% 136.63/87.28 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB137, bitIndex0)) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB137, bitIndex0)) | (~v115(constB137)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33220,plain,
% 136.63/87.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB137, bitIndex0)) | (~v115(constB137)))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33221,plain,
% 136.63/87.28 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB137, bitIndex0)) | (~v115(constB137))),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33220, 33219])).
% 136.63/87.28 tff(33222,plain,
% 136.63/87.28 ($false),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33221, 3011, 33218, 33075])).
% 136.63/87.28 tff(33223,plain,((~v115(constB137)) | v145(constB135)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.28 tff(33224,plain,
% 136.63/87.28 (~v115(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33223, 33156])).
% 136.63/87.28 tff(33225,plain,
% 136.63/87.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex0)) | (~v84(constB138, bitIndex0)) | v84(constB137, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex0)) | (~v84(constB138, bitIndex0)) | v84(constB137, bitIndex0))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33226,plain,
% 136.63/87.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex0)) | (~v84(constB138, bitIndex0)) | v84(constB137, bitIndex0))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33227,plain,
% 136.63/87.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex0)) | (~v84(constB138, bitIndex0)) | v84(constB137, bitIndex0)),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33226, 33225])).
% 136.63/87.28 tff(33228,plain,
% 136.63/87.28 (v94(constB138) | v84(constB137, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33227, 805, 795, 32941, 33163])).
% 136.63/87.28 tff(33229,plain,
% 136.63/87.28 (v94(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33228, 32929])).
% 136.63/87.28 tff(33230,plain,
% 136.63/87.28 (v123(constB138, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33167, 33229])).
% 136.63/87.28 tff(33231,plain,
% 136.63/87.28 (v121(constB137, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33171, 1362, 795, 32941, 33230])).
% 136.63/87.28 tff(33232,plain,
% 136.63/87.28 (v124(constB137, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33178, 1380, 795, 33048, 33231])).
% 136.63/87.28 tff(33233,plain,
% 136.63/87.28 (~v145(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33202, 2299, 1416, 795, 33232])).
% 136.63/87.28 tff(33234,assumption,(~v115(constB137)), introduced(assumption)).
% 136.63/87.28 tff(33235,plain,
% 136.63/87.28 (~v116(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33185, 2386, 2164, 795, 33232])).
% 136.63/87.28 tff(33236,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB137)) | (~v124(constB137, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33237,plain,
% 136.63/87.28 (((~v113(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33238,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB137)) | (~v124(constB137, bitIndex0))))),
% 136.63/87.28 inference(monotonicity,[status(thm)],[33237])).
% 136.63/87.28 tff(33239,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(transitivity,[status(thm)],[33238, 33236])).
% 136.63/87.28 tff(33240,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b100(bitIndex0))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33241,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB137)) | (~v124(constB137, bitIndex0))),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33240, 33239])).
% 136.63/87.28 tff(33242,plain,
% 136.63/87.28 (~v113(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33241, 2386, 2186, 795, 33232])).
% 136.63/87.28 tff(33243,plain,
% 136.63/87.28 (v94(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33227, 805, 795, 32941, 32929, 33163])).
% 136.63/87.28 tff(33244,plain,
% 136.63/87.28 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB138)) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB138)) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33245,plain,
% 136.63/87.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB138)) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33246,plain,
% 136.63/87.28 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB138)) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2)),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33245, 33244])).
% 136.63/87.28 tff(33247,plain,
% 136.63/87.28 ((~v94(constB138)) | v123(constB138, bitIndex2)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33246, 1344, 767, 33157])).
% 136.63/87.28 tff(33248,plain,
% 136.63/87.28 (v123(constB138, bitIndex2)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33247, 33243])).
% 136.63/87.28 tff(33249,plain,
% 136.63/87.28 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB137, constB138)) | (~less_3(bitIndex2)) | (~v123(constB138, bitIndex2)) | v121(constB137, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB137, constB138)) | (~less_3(bitIndex2)) | (~v123(constB138, bitIndex2)) | v121(constB137, bitIndex2))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33250,plain,
% 136.63/87.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB137, constB138)) | (~less_3(bitIndex2)) | (~v123(constB138, bitIndex2)) | v121(constB137, bitIndex2))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33251,plain,
% 136.63/87.28 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB137, constB138)) | (~less_3(bitIndex2)) | (~v123(constB138, bitIndex2)) | v121(constB137, bitIndex2)),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33250, 33249])).
% 136.63/87.28 tff(33252,plain,
% 136.63/87.28 (v121(constB137, bitIndex2)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33251, 1362, 767, 32941, 33248])).
% 136.63/87.28 tff(33253,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex2)) | (~v121(constB137, bitIndex2)) | v124(constB137, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB137) | (~less_3(bitIndex2)) | (~v121(constB137, bitIndex2)) | v124(constB137, bitIndex2))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33254,plain,
% 136.63/87.28 ((v26(constB137) | (~less_3(bitIndex2)) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2))) <=> (v26(constB137) | (~less_3(bitIndex2)) | (~v121(constB137, bitIndex2)) | v124(constB137, bitIndex2))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33255,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex2)) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex2)) | (~v121(constB137, bitIndex2)) | v124(constB137, bitIndex2)))),
% 136.63/87.28 inference(monotonicity,[status(thm)],[33254])).
% 136.63/87.28 tff(33256,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex2)) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB137) | (~less_3(bitIndex2)) | (~v121(constB137, bitIndex2)) | v124(constB137, bitIndex2))),
% 136.63/87.28 inference(transitivity,[status(thm)],[33255, 33253])).
% 136.63/87.28 tff(33257,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB137) | (~less_3(bitIndex2)) | v124(constB137, bitIndex2) | (~v121(constB137, bitIndex2)))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33258,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB137) | (~less_3(bitIndex2)) | (~v121(constB137, bitIndex2)) | v124(constB137, bitIndex2)),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33257, 33256])).
% 136.63/87.28 tff(33259,plain,
% 136.63/87.28 (v124(constB137, bitIndex2)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33258, 1380, 767, 33048, 33252])).
% 136.63/87.28 tff(33260,assumption,(~v113(constB137)), introduced(assumption)).
% 136.63/87.28 tff(33261,assumption,(~v116(constB137)), introduced(assumption)).
% 136.63/87.28 tff(33262,plain,
% 136.63/87.28 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB137, bitIndex0) | (~v118(constB137)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB137, bitIndex0) | (~v118(constB137)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33263,plain,
% 136.63/87.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB137, bitIndex0) | (~v118(constB137)))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33264,plain,
% 136.63/87.28 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB137, bitIndex0) | (~v118(constB137))),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33263, 33262])).
% 136.63/87.28 tff(33265,plain,
% 136.63/87.28 (~v118(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33264, 2642, 32929])).
% 136.63/87.28 tff(33266,plain,
% 136.63/87.28 (v123(constB138, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33166, 1344, 795, 33243, 33163])).
% 136.63/87.28 tff(33267,plain,
% 136.63/87.28 (v121(constB137, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33171, 1362, 795, 32941, 33266])).
% 136.63/87.28 tff(33268,plain,
% 136.63/87.28 (v124(constB137, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33178, 1380, 795, 33048, 33267])).
% 136.63/87.28 tff(33269,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB137)) | (~v124(constB137, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33270,plain,
% 136.63/87.28 (((~v172(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33271,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB137)) | (~v124(constB137, bitIndex0))))),
% 136.63/87.28 inference(monotonicity,[status(thm)],[33270])).
% 136.63/87.28 tff(33272,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB137)) | (~v124(constB137, bitIndex0)))),
% 136.63/87.28 inference(transitivity,[status(thm)],[33271, 33269])).
% 136.63/87.28 tff(33273,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB137)) | (~less_3(bitIndex0)) | (~v124(constB137, bitIndex0)) | b110(bitIndex0))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33274,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB137)) | (~v124(constB137, bitIndex0))),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33273, 33272])).
% 136.63/87.28 tff(33275,plain,
% 136.63/87.28 (~v172(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33274, 1997, 1994, 795, 33268])).
% 136.63/87.28 tff(33276,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB137) | v113(constB137) | v118(constB137) | v172(constB137) | v116(constB137) | v115(constB137) | (~v124(constB137, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB137) | v113(constB137) | v118(constB137) | v172(constB137) | v116(constB137) | v115(constB137) | (~v124(constB137, bitIndex2)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33277,plain,
% 136.63/87.28 ((v113(constB137) | v145(constB137) | v115(constB137) | v116(constB137) | v172(constB137) | v118(constB137) | (~less_3(bitIndex2)) | (~v124(constB137, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB137) | v113(constB137) | v118(constB137) | v172(constB137) | v116(constB137) | v115(constB137) | (~v124(constB137, bitIndex2)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33278,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB137) | v145(constB137) | v115(constB137) | v116(constB137) | v172(constB137) | v118(constB137) | (~less_3(bitIndex2)) | (~v124(constB137, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB137) | v113(constB137) | v118(constB137) | v172(constB137) | v116(constB137) | v115(constB137) | (~v124(constB137, bitIndex2))))),
% 136.63/87.28 inference(monotonicity,[status(thm)],[33277])).
% 136.63/87.28 tff(33279,plain,
% 136.63/87.28 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB137) | v145(constB137) | v115(constB137) | v116(constB137) | v172(constB137) | v118(constB137) | (~less_3(bitIndex2)) | (~v124(constB137, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB137) | v113(constB137) | v118(constB137) | v172(constB137) | v116(constB137) | v115(constB137) | (~v124(constB137, bitIndex2)))),
% 136.63/87.28 inference(transitivity,[status(thm)],[33278, 33276])).
% 136.63/87.28 tff(33280,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB137) | v145(constB137) | v115(constB137) | v116(constB137) | v172(constB137) | v118(constB137) | (~less_3(bitIndex2)) | (~v124(constB137, bitIndex2)) | b001(bitIndex2))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33281,plain,
% 136.63/87.28 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB137) | v113(constB137) | v118(constB137) | v172(constB137) | v116(constB137) | v115(constB137) | (~v124(constB137, bitIndex2))),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33280, 33279])).
% 136.63/87.28 tff(33282,plain,
% 136.63/87.28 ($false),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33281, 2427, 2424, 767, 33066, 33275, 33265, 33261, 33234, 33260, 33259])).
% 136.63/87.28 tff(33283,plain,((~v84(constB138, bitIndex0)) | v145(constB137) | v116(constB137) | v115(constB137) | v113(constB137) | (~v84(constB138, bitIndex2)) | v84(constB137, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.28 tff(33284,plain,
% 136.63/87.28 ($false),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33283, 33242, 33235, 33157, 33163, 33234, 32929, 33233])).
% 136.63/87.28 tff(33285,plain,(v84(constB137, bitIndex0) | (~v84(constB138, bitIndex2)) | (~v84(constB138, bitIndex0)) | v115(constB137)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.28 tff(33286,plain,
% 136.63/87.28 (v84(constB137, bitIndex0)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33285, 33224, 33136, 33151])).
% 136.63/87.28 tff(33287,plain,
% 136.63/87.28 (v145(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33126, 33286, 33214, 33091, 33212])).
% 136.63/87.28 tff(33288,plain,
% 136.63/87.28 ($false),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33133, 725, 33287, 33212])).
% 136.63/87.28 tff(33289,plain,(v94(constB132) | (~v107(constB137))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.28 tff(33290,plain,
% 136.63/87.28 (~v107(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33289, 32593])).
% 136.63/87.28 tff(33291,plain,
% 136.63/87.28 (~v106(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33059, 3161, 33290])).
% 136.63/87.28 tff(33292,plain,
% 136.63/87.28 (~v102(constB137)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33055, 33291])).
% 136.63/87.28 tff(33293,plain,
% 136.63/87.28 (~v104(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[32959, 33292])).
% 136.63/87.28 tff(33294,plain,
% 136.63/87.28 (~v94(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[32951, 33293])).
% 136.63/87.28 tff(33295,plain,
% 136.63/87.28 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33296,plain,
% 136.63/87.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138)))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33297,plain,
% 136.63/87.28 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB137) | (~nextState(constB137, constB138)) | (~v98(constB138))),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33296, 33295])).
% 136.63/87.28 tff(33298,plain,
% 136.63/87.28 (~v98(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33297, 541, 32941, 32899])).
% 136.63/87.28 tff(33299,plain,
% 136.63/87.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33300,plain,
% 136.63/87.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB137, constB138)) | v96(constB138) | v98(constB138))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33301,plain,
% 136.63/87.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB137, constB138)) | v96(constB138) | v98(constB138)),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33300, 33299])).
% 136.63/87.28 tff(33302,plain,
% 136.63/87.28 (v96(constB138) | v98(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33301, 555, 32941])).
% 136.63/87.28 tff(33303,plain,
% 136.63/87.28 (v96(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33302, 33298])).
% 136.63/87.28 tff(33304,plain,
% 136.63/87.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33305,plain,
% 136.63/87.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138)))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33306,plain,
% 136.63/87.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB137, constB138)) | v95(constB138) | (~v96(constB138)) | (~v1(constB138))),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33305, 33304])).
% 136.63/87.28 tff(33307,plain,
% 136.63/87.28 (v95(constB138) | (~v96(constB138))),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33306, 573, 32941, 32979])).
% 136.63/87.28 tff(33308,plain,
% 136.63/87.28 (v95(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33307, 33303])).
% 136.63/87.28 tff(33309,plain,
% 136.63/87.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33310,plain,
% 136.63/87.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138))),
% 136.63/87.28 inference(quant_inst,[status(thm)],[])).
% 136.63/87.28 tff(33311,plain,
% 136.63/87.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB137, constB138)) | (~v95(constB138)) | (~v104(constB138)) | v94(constB138)),
% 136.63/87.28 inference(modus_ponens,[status(thm)],[33310, 33309])).
% 136.63/87.28 tff(33312,plain,
% 136.63/87.28 ((~v95(constB138)) | (~v104(constB138)) | v94(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33311, 588, 32941])).
% 136.63/87.28 tff(33313,plain,
% 136.63/87.28 ((~v104(constB138)) | v94(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33312, 33308])).
% 136.63/87.28 tff(33314,plain,
% 136.63/87.28 (~v104(constB138)),
% 136.63/87.28 inference(unit_resolution,[status(thm)],[33313, 32938])).
% 136.63/87.28 tff(33315,plain,
% 136.63/87.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33316,plain,
% 136.63/87.28 (((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138)) <=> ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 136.63/87.28 inference(rewrite,[status(thm)],[])).
% 136.63/87.28 tff(33317,plain,
% 136.63/87.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33316])).
% 136.63/87.29 tff(33318,plain,
% 136.63/87.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137)))),
% 136.63/87.29 inference(transitivity,[status(thm)],[33317, 33315])).
% 136.63/87.29 tff(33319,plain,
% 136.63/87.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB137, constB138)) | (~v102(constB137)) | v104(constB138))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33320,plain,
% 136.63/87.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB137, constB138)) | v104(constB138) | (~v102(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33319, 33318])).
% 136.63/87.29 tff(33321,plain,
% 136.63/87.29 (v104(constB138) | (~v102(constB137))),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33320, 604, 32941])).
% 136.63/87.29 tff(33322,plain,
% 136.63/87.29 (~v102(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33321, 33314])).
% 136.63/87.29 tff(33323,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB137) | (~v106(constB137)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB137) | (~v106(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33324,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB137) | (~v106(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33325,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB137) | (~v106(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33324, 33323])).
% 136.63/87.29 tff(33326,plain,
% 136.63/87.29 (~v106(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33325, 619, 33322])).
% 136.63/87.29 tff(33327,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | v106(constB137) | (~v107(constB137)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33328,plain,
% 136.63/87.29 ((v26(constB137) | (~v107(constB137)) | v106(constB137)) <=> (v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33329,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | v106(constB137) | (~v107(constB137))))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33328])).
% 136.63/87.29 tff(33330,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137)))),
% 136.63/87.29 inference(transitivity,[status(thm)],[33329, 33327])).
% 136.63/87.29 tff(33331,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB137) | (~v107(constB137)) | v106(constB137))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33332,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB137) | v106(constB137) | (~v107(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33331, 33330])).
% 136.63/87.29 tff(33333,plain,
% 136.63/87.29 (v106(constB137) | (~v107(constB137))),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33332, 644, 33048])).
% 136.63/87.29 tff(33334,plain,
% 136.63/87.29 (~v107(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33333, 33326])).
% 136.63/87.29 tff(33335,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB137) | (~v108(constB137)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB137) | (~v108(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33336,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB137) | (~v108(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33337,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB137) | (~v108(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33336, 33335])).
% 136.63/87.29 tff(33338,plain,
% 136.63/87.29 (~v108(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33337, 658, 33334])).
% 136.63/87.29 tff(33339,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB137) | (~v109(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB137) | (~v109(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33340,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB137) | (~v109(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33341,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB137) | (~v109(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33340, 33339])).
% 136.63/87.29 tff(33342,plain,
% 136.63/87.29 (~v109(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33341, 669, 33338])).
% 136.63/87.29 tff(33343,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB137) | (~v110(constB137)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB137) | (~v110(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33344,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB137) | (~v110(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33345,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB137) | (~v110(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33344, 33343])).
% 136.63/87.29 tff(33346,plain,
% 136.63/87.29 (~v110(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33345, 680, 33342])).
% 136.63/87.29 tff(33347,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB137) | (~v111(constB137)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB137) | (~v111(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33348,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB137) | (~v111(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33349,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB137) | (~v111(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33348, 33347])).
% 136.63/87.29 tff(33350,plain,
% 136.63/87.29 (~v111(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33349, 691, 33346])).
% 136.63/87.29 tff(33351,assumption,(v107(constB147)), introduced(assumption)).
% 136.63/87.29 tff(33352,assumption,(~v107(constB137)), introduced(assumption)).
% 136.63/87.29 tff(33353,plain,
% 136.63/87.29 (~v108(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33337, 658, 33352])).
% 136.63/87.29 tff(33354,plain,
% 136.63/87.29 (~v109(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33341, 669, 33353])).
% 136.63/87.29 tff(33355,plain,
% 136.63/87.29 (~v110(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33345, 680, 33354])).
% 136.63/87.29 tff(33356,plain,
% 136.63/87.29 (~v111(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33349, 691, 33355])).
% 136.63/87.29 tff(33357,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB137) | (~v112(constB137)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB137) | (~v112(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33358,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB137) | (~v112(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33359,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB137) | (~v112(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33358, 33357])).
% 136.63/87.29 tff(33360,plain,
% 136.63/87.29 (~v112(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33359, 702, 33356])).
% 136.63/87.29 tff(33361,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB137) | (~v145(constB137)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB137) | (~v145(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33362,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB137) | (~v145(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33363,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB137) | (~v145(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33362, 33361])).
% 136.63/87.29 tff(33364,plain,
% 136.63/87.29 (~v145(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33363, 713, 33360])).
% 136.63/87.29 tff(33365,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB137) | (~v119(constB137)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB137) | (~v119(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33366,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB137) | (~v119(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33367,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB137) | (~v119(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33366, 33365])).
% 136.63/87.29 tff(33368,plain,
% 136.63/87.29 (~v119(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33367, 1927, 33352])).
% 136.63/87.29 tff(33369,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB137, bitIndex0) | v119(constB137) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB137, bitIndex0) | v119(constB137) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33370,plain,
% 136.63/87.29 ((v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2)) | v119(constB137)) <=> (v84(constB137, bitIndex0) | v119(constB137) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33371,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2)) | v119(constB137))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB137, bitIndex0) | v119(constB137) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2))))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33370])).
% 136.63/87.29 tff(33372,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2)) | v119(constB137))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB137, bitIndex0) | v119(constB137) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2)))),
% 136.63/87.29 inference(transitivity,[status(thm)],[33371, 33369])).
% 136.63/87.29 tff(33373,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2)) | v119(constB137))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33374,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB137, bitIndex0) | v119(constB137) | (~v84(constB137, bitIndex1)) | (~v84(constB137, bitIndex2))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33373, 33372])).
% 136.63/87.29 tff(33375,plain,
% 136.63/87.29 (v119(constB137) | (~v84(constB137, bitIndex1))),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33374, 1910, 32937, 32929])).
% 136.63/87.29 tff(33376,plain,
% 136.63/87.29 (~v84(constB137, bitIndex1)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33375, 33368])).
% 136.63/87.29 tff(33377,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB137, bitIndex0) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2)) | v172(constB137))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB137, bitIndex0) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2)) | v172(constB137))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33378,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB137, bitIndex0) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2)) | v172(constB137))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33379,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB137, bitIndex0) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2)) | v172(constB137)),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33378, 33377])).
% 136.63/87.29 tff(33380,plain,
% 136.63/87.29 (v84(constB137, bitIndex1) | v172(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33379, 1047, 32937, 32929])).
% 136.63/87.29 tff(33381,plain,
% 136.63/87.29 (v172(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33380, 33376])).
% 136.63/87.29 tff(33382,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB137) | (~v172(constB137)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB137) | (~v172(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33383,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB137) | (~v172(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33384,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB137) | (~v172(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33383, 33382])).
% 136.63/87.29 tff(33385,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33384, 1033, 33381, 33354])).
% 136.63/87.29 tff(33386,plain,(v107(constB137) | (~v84(constB137, bitIndex2)) | v84(constB137, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33387,plain,
% 136.63/87.29 (~v84(constB137, bitIndex2)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33386, 32929, 33352])).
% 136.63/87.29 tff(33388,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB137) | (~v115(constB137)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB137) | (~v115(constB137)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33389,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB137) | (~v115(constB137)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33390,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB137) | (~v115(constB137))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33389, 33388])).
% 136.63/87.29 tff(33391,plain,
% 136.63/87.29 (~v115(constB137)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33390, 945, 33356])).
% 136.63/87.29 tff(33392,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v115(constB137))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v115(constB137))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33393,plain,
% 136.63/87.29 ((v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137)) <=> (v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v115(constB137))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33394,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v115(constB137)))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33393])).
% 136.63/87.29 tff(33395,plain,
% 136.63/87.29 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v115(constB137))),
% 136.63/87.29 inference(transitivity,[status(thm)],[33394, 33392])).
% 136.63/87.29 tff(33396,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB137, bitIndex0) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex2) | v115(constB137))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33397,plain,
% 136.63/87.29 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v115(constB137)),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33396, 33395])).
% 136.63/87.29 tff(33398,plain,
% 136.63/87.29 (v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1))),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33397, 1095, 33391])).
% 136.63/87.29 tff(33399,plain,
% 136.63/87.29 (~v84(constB137, bitIndex1)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33398, 33387, 32929])).
% 136.63/87.29 tff(33400,plain,
% 136.63/87.29 (~v84(constB136, bitIndex1)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[32927, 32922])).
% 136.63/87.29 tff(33401,plain,
% 136.63/87.29 (v145(constB135)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[32865, 32598, 32599])).
% 136.63/87.29 tff(33402,assumption,(~v124(constB135, bitIndex1)), introduced(assumption)).
% 136.63/87.29 tff(33403,plain,
% 136.63/87.29 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB135)) | (~b010(bitIndex1)) | v124(constB135, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB135)) | (~b010(bitIndex1)) | v124(constB135, bitIndex1))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33404,plain,
% 136.63/87.29 (((~v145(constB135)) | (~less_3(bitIndex1)) | v124(constB135, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB135)) | (~b010(bitIndex1)) | v124(constB135, bitIndex1))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33405,plain,
% 136.63/87.29 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB135)) | (~less_3(bitIndex1)) | v124(constB135, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB135)) | (~b010(bitIndex1)) | v124(constB135, bitIndex1)))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33404])).
% 136.63/87.29 tff(33406,plain,
% 136.63/87.29 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB135)) | (~less_3(bitIndex1)) | v124(constB135, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB135)) | (~b010(bitIndex1)) | v124(constB135, bitIndex1))),
% 136.63/87.29 inference(transitivity,[status(thm)],[33405, 33403])).
% 136.63/87.29 tff(33407,plain,
% 136.63/87.29 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB135)) | (~less_3(bitIndex1)) | v124(constB135, bitIndex1) | (~b010(bitIndex1)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33408,plain,
% 136.63/87.29 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB135)) | (~b010(bitIndex1)) | v124(constB135, bitIndex1)),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33407, 33406])).
% 136.63/87.29 tff(33409,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33408, 1821, 1818, 823, 22278, 33402])).
% 136.63/87.29 tff(33410,plain,(v124(constB135, bitIndex1) | (~v145(constB135))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33411,plain,
% 136.63/87.29 (v124(constB135, bitIndex1)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33410, 33401])).
% 136.63/87.29 tff(33412,plain,
% 136.63/87.29 (v94(constB136)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[32752, 32598])).
% 136.63/87.29 tff(33413,assumption,(v123(constB136, bitIndex1)), introduced(assumption)).
% 136.63/87.29 tff(33414,plain,
% 136.63/87.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB136)) | (~less_3(bitIndex1)) | (~v123(constB136, bitIndex1)) | v84(constB136, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex1)) | (~v123(constB136, bitIndex1)) | v84(constB136, bitIndex1))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33415,plain,
% 136.63/87.29 (((~less_3(bitIndex1)) | (~v94(constB136)) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1))) <=> ((~v94(constB136)) | (~less_3(bitIndex1)) | (~v123(constB136, bitIndex1)) | v84(constB136, bitIndex1))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33416,plain,
% 136.63/87.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB136)) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB136)) | (~less_3(bitIndex1)) | (~v123(constB136, bitIndex1)) | v84(constB136, bitIndex1)))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33415])).
% 136.63/87.29 tff(33417,plain,
% 136.63/87.29 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB136)) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex1)) | (~v123(constB136, bitIndex1)) | v84(constB136, bitIndex1))),
% 136.63/87.29 inference(transitivity,[status(thm)],[33416, 33414])).
% 136.63/87.29 tff(33418,plain,
% 136.63/87.29 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB136)) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33419,plain,
% 136.63/87.29 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB136)) | (~less_3(bitIndex1)) | (~v123(constB136, bitIndex1)) | v84(constB136, bitIndex1)),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33418, 33417])).
% 136.63/87.29 tff(33420,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33419, 1674, 823, 32777, 22508, 33413])).
% 136.63/87.29 tff(33421,plain,(v84(constB136, bitIndex1) | (~v94(constB136)) | (~v123(constB136, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33422,plain,
% 136.63/87.29 (~v123(constB136, bitIndex1)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33421, 33412, 22508])).
% 136.63/87.29 tff(33423,assumption,(~v123(constB136, bitIndex1)), introduced(assumption)).
% 136.63/87.29 tff(33424,assumption,(v121(constB135, bitIndex1)), introduced(assumption)).
% 136.63/87.29 tff(33425,plain,
% 136.63/87.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB135, constB136)) | (~less_3(bitIndex1)) | v123(constB136, bitIndex1) | (~v121(constB135, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB135, constB136)) | (~less_3(bitIndex1)) | v123(constB136, bitIndex1) | (~v121(constB135, bitIndex1)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33426,plain,
% 136.63/87.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB135, constB136)) | (~less_3(bitIndex1)) | v123(constB136, bitIndex1) | (~v121(constB135, bitIndex1)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33427,plain,
% 136.63/87.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB135, constB136)) | (~less_3(bitIndex1)) | v123(constB136, bitIndex1) | (~v121(constB135, bitIndex1))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33426, 33425])).
% 136.63/87.29 tff(33428,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33427, 1708, 823, 22576, 33424, 33423])).
% 136.63/87.29 tff(33429,plain,(v123(constB136, bitIndex1) | (~v121(constB135, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33430,plain,
% 136.63/87.29 (~v121(constB135, bitIndex1)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33429, 33422])).
% 136.63/87.29 tff(33431,assumption,(~v121(constB135, bitIndex1)), introduced(assumption)).
% 136.63/87.29 tff(33432,assumption,(v124(constB135, bitIndex1)), introduced(assumption)).
% 136.63/87.29 tff(33433,plain,
% 136.63/87.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | (~less_3(bitIndex1)) | v121(constB135, bitIndex1) | (~v124(constB135, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex1)) | v121(constB135, bitIndex1) | (~v124(constB135, bitIndex1)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33434,plain,
% 136.63/87.29 ((v26(constB135) | v121(constB135, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB135, bitIndex1))) <=> (v26(constB135) | (~less_3(bitIndex1)) | v121(constB135, bitIndex1) | (~v124(constB135, bitIndex1)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33435,plain,
% 136.63/87.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB135, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | (~less_3(bitIndex1)) | v121(constB135, bitIndex1) | (~v124(constB135, bitIndex1))))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33434])).
% 136.63/87.29 tff(33436,plain,
% 136.63/87.29 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB135, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex1)) | v121(constB135, bitIndex1) | (~v124(constB135, bitIndex1)))),
% 136.63/87.29 inference(transitivity,[status(thm)],[33435, 33433])).
% 136.63/87.29 tff(33437,plain,
% 136.63/87.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB135) | v121(constB135, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB135, bitIndex1)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33438,plain,
% 136.63/87.29 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB135) | (~less_3(bitIndex1)) | v121(constB135, bitIndex1) | (~v124(constB135, bitIndex1))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33437, 33436])).
% 136.63/87.29 tff(33439,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33438, 1728, 823, 22602, 33432, 33431])).
% 136.63/87.29 tff(33440,plain,(v121(constB135, bitIndex1) | (~v124(constB135, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33441,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33440, 33430, 33411])).
% 136.63/87.29 tff(33442,plain,(v84(constB136, bitIndex0) | v84(constB136, bitIndex1) | v84(constB136, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33443,plain,
% 136.63/87.29 (v84(constB136, bitIndex0)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33442, 33187, 33400])).
% 136.63/87.29 tff(33444,plain,
% 136.63/87.29 (v84(constB137, bitIndex0)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[32934, 33443])).
% 136.63/87.29 tff(33445,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33209, 865, 33066, 32896, 33444, 32922])).
% 136.63/87.29 tff(33446,plain,(v145(constB137) | v84(constB137, bitIndex2) | v84(constB137, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33447,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33446, 33399, 33387, 33364])).
% 136.63/87.29 tff(33448,plain,(v84(constB137, bitIndex0) | v107(constB137)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33449,plain,
% 136.63/87.29 (v84(constB137, bitIndex0)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33448, 33334])).
% 136.63/87.29 tff(33450,plain,
% 136.63/87.29 (v84(constB138, bitIndex0)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33142, 33449, 32938])).
% 136.63/87.29 tff(33451,assumption,(~v84(constB139, bitIndex0)), introduced(assumption)).
% 136.63/87.29 tff(33452,plain,
% 136.63/87.29 ((~v1(constB139)) <=> (~v1(constB139))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33453,axiom,(~v1(constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_139_1_1')).
% 136.63/87.29 tff(33454,plain,
% 136.63/87.29 (~v1(constB139)),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33453, 33452])).
% 136.63/87.29 tff(33455,plain,
% 136.63/87.29 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33456,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_138_1')).
% 136.63/87.29 tff(33457,plain,
% 136.63/87.29 (nextState(constB138, constB139)),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33456, 33455])).
% 136.63/87.29 tff(33458,plain,
% 136.63/87.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33459,plain,
% 136.63/87.29 (((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139)) <=> (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33460,plain,
% 136.63/87.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33459])).
% 136.63/87.29 tff(33461,plain,
% 136.63/87.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139)))),
% 136.63/87.29 inference(transitivity,[status(thm)],[33460, 33458])).
% 136.63/87.29 tff(33462,plain,
% 136.63/87.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB138, constB139)) | (~v95(constB139)) | v1(constB139))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33463,plain,
% 136.63/87.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB139) | (~nextState(constB138, constB139)) | (~v95(constB139))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33462, 33461])).
% 136.63/87.29 tff(33464,plain,
% 136.63/87.29 (~v95(constB139)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33463, 742, 33457, 33454])).
% 136.63/87.29 tff(33465,plain,
% 136.63/87.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33466,plain,
% 136.63/87.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33467,plain,
% 136.63/87.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB138, constB139)) | v95(constB139) | (~v94(constB139))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33466, 33465])).
% 136.63/87.29 tff(33468,plain,
% 136.63/87.29 (v95(constB139) | (~v94(constB139))),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33467, 759, 33457])).
% 136.63/87.29 tff(33469,plain,
% 136.63/87.29 (~v94(constB139)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33468, 33464])).
% 136.63/87.29 tff(33470,plain,
% 136.63/87.29 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex0)) | v84(constB139, bitIndex0) | (~v84(constB138, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex0)) | v84(constB139, bitIndex0) | (~v84(constB138, bitIndex0)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33471,plain,
% 136.63/87.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex0)) | v84(constB139, bitIndex0) | (~v84(constB138, bitIndex0)))),
% 136.63/87.29 inference(quant_inst,[status(thm)],[])).
% 136.63/87.29 tff(33472,plain,
% 136.63/87.29 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex0)) | v84(constB139, bitIndex0) | (~v84(constB138, bitIndex0))),
% 136.63/87.29 inference(modus_ponens,[status(thm)],[33471, 33470])).
% 136.63/87.29 tff(33473,plain,
% 136.63/87.29 ($false),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33472, 777, 795, 33457, 33469, 33163, 33451])).
% 136.63/87.29 tff(33474,plain,(v84(constB139, bitIndex0) | (~v84(constB138, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.29 tff(33475,plain,
% 136.63/87.29 (v84(constB139, bitIndex0)),
% 136.63/87.29 inference(unit_resolution,[status(thm)],[33474, 33450])).
% 136.63/87.29 tff(33476,assumption,(v119(constB139)), introduced(assumption)).
% 136.63/87.29 tff(33477,assumption,(v84(constB139, bitIndex0)), introduced(assumption)).
% 136.63/87.29 tff(33478,plain,
% 136.63/87.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB139)) | (~v84(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB139)) | (~v84(constB139, bitIndex0)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33479,plain,
% 136.63/87.29 (((~v84(constB139, bitIndex0)) | (~v119(constB139))) <=> ((~v119(constB139)) | (~v84(constB139, bitIndex0)))),
% 136.63/87.29 inference(rewrite,[status(thm)],[])).
% 136.63/87.29 tff(33480,plain,
% 136.63/87.29 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB139, bitIndex0)) | (~v119(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB139)) | (~v84(constB139, bitIndex0))))),
% 136.63/87.29 inference(monotonicity,[status(thm)],[33479])).
% 136.63/87.30 tff(33481,plain,
% 136.63/87.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB139, bitIndex0)) | (~v119(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB139)) | (~v84(constB139, bitIndex0)))),
% 136.63/87.30 inference(transitivity,[status(thm)],[33480, 33478])).
% 136.63/87.30 tff(33482,plain,
% 136.63/87.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB139, bitIndex0)) | (~v119(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33483,plain,
% 136.63/87.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB139)) | (~v84(constB139, bitIndex0))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33482, 33481])).
% 136.63/87.30 tff(33484,plain,
% 136.63/87.30 ($false),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33483, 3173, 33477, 33476])).
% 136.63/87.30 tff(33485,plain,((~v119(constB139)) | (~v84(constB139, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.30 tff(33486,plain,
% 136.63/87.30 (~v119(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33485, 33475])).
% 136.63/87.30 tff(33487,assumption,(v145(constB141)), introduced(assumption)).
% 136.63/87.30 tff(33488,plain,
% 136.63/87.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB141)) | (~v84(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB141)) | (~v84(constB141, bitIndex1)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33489,plain,
% 136.63/87.30 (((~v84(constB141, bitIndex1)) | (~v145(constB141))) <=> ((~v145(constB141)) | (~v84(constB141, bitIndex1)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33490,plain,
% 136.63/87.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB141)) | (~v84(constB141, bitIndex1))))),
% 136.63/87.30 inference(monotonicity,[status(thm)],[33489])).
% 136.63/87.30 tff(33491,plain,
% 136.63/87.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB141)) | (~v84(constB141, bitIndex1)))),
% 136.63/87.30 inference(transitivity,[status(thm)],[33490, 33488])).
% 136.63/87.30 tff(33492,plain,
% 136.63/87.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v145(constB141)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33493,plain,
% 136.63/87.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB141)) | (~v84(constB141, bitIndex1))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33492, 33491])).
% 136.63/87.30 tff(33494,plain,
% 136.63/87.30 (~v84(constB141, bitIndex1)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33493, 816, 33487])).
% 136.63/87.30 tff(33495,assumption,(v84(constB140, bitIndex1)), introduced(assumption)).
% 136.63/87.30 tff(33496,assumption,(~v84(constB141, bitIndex1)), introduced(assumption)).
% 136.63/87.30 tff(33497,plain,
% 136.63/87.30 ((~v1(constB141)) <=> (~v1(constB141))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33498,axiom,(~v1(constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_141_1_1')).
% 136.63/87.30 tff(33499,plain,
% 136.63/87.30 (~v1(constB141)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33498, 33497])).
% 136.63/87.30 tff(33500,plain,
% 136.63/87.30 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33501,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_140_1')).
% 136.63/87.30 tff(33502,plain,
% 136.63/87.30 (nextState(constB140, constB141)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33501, 33500])).
% 136.63/87.30 tff(33503,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33504,plain,
% 136.63/87.30 (((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141)) <=> (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33505,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))))),
% 136.63/87.30 inference(monotonicity,[status(thm)],[33504])).
% 136.63/87.30 tff(33506,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141)))),
% 136.63/87.30 inference(transitivity,[status(thm)],[33505, 33503])).
% 136.63/87.30 tff(33507,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB140, constB141)) | (~v95(constB141)) | v1(constB141))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33508,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB141) | (~nextState(constB140, constB141)) | (~v95(constB141))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33507, 33506])).
% 136.63/87.30 tff(33509,plain,
% 136.63/87.30 (~v95(constB141)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33508, 742, 33502, 33499])).
% 136.63/87.30 tff(33510,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33511,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33512,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB140, constB141)) | v95(constB141) | (~v94(constB141))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33511, 33510])).
% 136.63/87.30 tff(33513,plain,
% 136.63/87.30 (v95(constB141) | (~v94(constB141))),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33512, 759, 33502])).
% 136.63/87.30 tff(33514,plain,
% 136.63/87.30 (~v94(constB141)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33513, 33509])).
% 136.63/87.30 tff(33515,plain,
% 136.63/87.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33516,plain,
% 136.63/87.30 (((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB140, bitIndex1))) <=> ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33517,plain,
% 136.63/87.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB140, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1)))),
% 136.63/87.30 inference(monotonicity,[status(thm)],[33516])).
% 136.63/87.30 tff(33518,plain,
% 136.63/87.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB140, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1))),
% 136.63/87.30 inference(transitivity,[status(thm)],[33517, 33515])).
% 136.63/87.30 tff(33519,plain,
% 136.63/87.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB140, bitIndex1)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33520,plain,
% 136.63/87.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB141, bitIndex1)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33519, 33518])).
% 136.63/87.30 tff(33521,plain,
% 136.63/87.30 ($false),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33520, 777, 823, 33502, 33514, 33496, 33495])).
% 136.63/87.30 tff(33522,plain,(v84(constB141, bitIndex1) | (~v84(constB140, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.30 tff(33523,plain,
% 136.63/87.30 (~v84(constB140, bitIndex1)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33522, 33494])).
% 136.63/87.30 tff(33524,assumption,(~v84(constB140, bitIndex1)), introduced(assumption)).
% 136.63/87.30 tff(33525,assumption,(~v94(constB140)), introduced(assumption)).
% 136.63/87.30 tff(33526,plain,
% 136.63/87.30 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33527,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_139_1')).
% 136.63/87.30 tff(33528,plain,
% 136.63/87.30 (nextState(constB139, constB140)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33527, 33526])).
% 136.63/87.30 tff(33529,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33530,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33531,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB139) | (~nextState(constB139, constB140)) | (~v98(constB140))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33530, 33529])).
% 136.63/87.30 tff(33532,plain,
% 136.63/87.30 (~v98(constB140)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33531, 541, 33528, 33454])).
% 136.63/87.30 tff(33533,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33534,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB139, constB140)) | v96(constB140) | v98(constB140))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33535,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB139, constB140)) | v96(constB140) | v98(constB140)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33534, 33533])).
% 136.63/87.30 tff(33536,plain,
% 136.63/87.30 (v96(constB140) | v98(constB140)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33535, 555, 33528])).
% 136.63/87.30 tff(33537,plain,
% 136.63/87.30 (v96(constB140)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33536, 33532])).
% 136.63/87.30 tff(33538,plain,
% 136.63/87.30 (v1(constB140) <=> v1(constB140)),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33539,axiom,(v1(constB140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_140_1')).
% 136.63/87.30 tff(33540,plain,
% 136.63/87.30 (v1(constB140)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33539, 33538])).
% 136.63/87.30 tff(33541,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33542,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33543,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB139, constB140)) | v95(constB140) | (~v96(constB140)) | (~v1(constB140))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33542, 33541])).
% 136.63/87.30 tff(33544,plain,
% 136.63/87.30 (v95(constB140) | (~v96(constB140))),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33543, 573, 33528, 33540])).
% 136.63/87.30 tff(33545,plain,
% 136.63/87.30 (v95(constB140)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33544, 33537])).
% 136.63/87.30 tff(33546,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33547,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33548,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB139, constB140)) | (~v95(constB140)) | (~v104(constB140)) | v94(constB140)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33547, 33546])).
% 136.63/87.30 tff(33549,plain,
% 136.63/87.30 ((~v95(constB140)) | (~v104(constB140)) | v94(constB140)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33548, 588, 33528])).
% 136.63/87.30 tff(33550,plain,
% 136.63/87.30 ((~v104(constB140)) | v94(constB140)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33549, 33545])).
% 136.63/87.30 tff(33551,plain,
% 136.63/87.30 (~v104(constB140)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33550, 33525])).
% 136.63/87.30 tff(33552,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33553,plain,
% 136.63/87.30 (((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140)) <=> ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33554,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))))),
% 136.63/87.30 inference(monotonicity,[status(thm)],[33553])).
% 136.63/87.30 tff(33555,plain,
% 136.63/87.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139)))),
% 136.63/87.30 inference(transitivity,[status(thm)],[33554, 33552])).
% 136.63/87.30 tff(33556,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB139, constB140)) | (~v102(constB139)) | v104(constB140))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33557,plain,
% 136.63/87.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v102(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33556, 33555])).
% 136.63/87.30 tff(33558,plain,
% 136.63/87.30 (v104(constB140) | (~v102(constB139))),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33557, 604, 33528])).
% 136.63/87.30 tff(33559,plain,
% 136.63/87.30 (~v102(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33558, 33551])).
% 136.63/87.30 tff(33560,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB139) | (~v26(constB139)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB139) | (~v26(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33561,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB139) | (~v26(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33562,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB139) | (~v26(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33561, 33560])).
% 136.63/87.30 tff(33563,plain,
% 136.63/87.30 (~v26(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33562, 630, 33559])).
% 136.63/87.30 tff(33564,assumption,(~v84(constB140, bitIndex2)), introduced(assumption)).
% 136.63/87.30 tff(33565,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB139) | (~v106(constB139)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB139) | (~v106(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33566,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB139) | (~v106(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33567,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB139) | (~v106(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33566, 33565])).
% 136.63/87.30 tff(33568,plain,
% 136.63/87.30 (~v106(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33567, 619, 33559])).
% 136.63/87.30 tff(33569,assumption,(~v26(constB139)), introduced(assumption)).
% 136.63/87.30 tff(33570,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33571,plain,
% 136.63/87.30 ((v26(constB139) | (~v107(constB139)) | v106(constB139)) <=> (v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33572,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | v106(constB139) | (~v107(constB139))))),
% 136.63/87.30 inference(monotonicity,[status(thm)],[33571])).
% 136.63/87.30 tff(33573,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139)))),
% 136.63/87.30 inference(transitivity,[status(thm)],[33572, 33570])).
% 136.63/87.30 tff(33574,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB139) | (~v107(constB139)) | v106(constB139))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33575,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB139) | v106(constB139) | (~v107(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33574, 33573])).
% 136.63/87.30 tff(33576,plain,
% 136.63/87.30 (v106(constB139) | (~v107(constB139))),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33575, 644, 33569])).
% 136.63/87.30 tff(33577,plain,
% 136.63/87.30 (~v107(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33576, 33568])).
% 136.63/87.30 tff(33578,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB139) | (~v108(constB139)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB139) | (~v108(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33579,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB139) | (~v108(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33580,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB139) | (~v108(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33579, 33578])).
% 136.63/87.30 tff(33581,plain,
% 136.63/87.30 (~v108(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33580, 658, 33577])).
% 136.63/87.30 tff(33582,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB139) | (~v109(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB139) | (~v109(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33583,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB139) | (~v109(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33584,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB139) | (~v109(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33583, 33582])).
% 136.63/87.30 tff(33585,plain,
% 136.63/87.30 (~v109(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33584, 669, 33581])).
% 136.63/87.30 tff(33586,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB139) | (~v110(constB139)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB139) | (~v110(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33587,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB139) | (~v110(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33588,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB139) | (~v110(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33587, 33586])).
% 136.63/87.30 tff(33589,plain,
% 136.63/87.30 (~v110(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33588, 680, 33585])).
% 136.63/87.30 tff(33590,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB139) | (~v111(constB139)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB139) | (~v111(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33591,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB139) | (~v111(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33592,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB139) | (~v111(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33591, 33590])).
% 136.63/87.30 tff(33593,plain,
% 136.63/87.30 (~v111(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33592, 691, 33589])).
% 136.63/87.30 tff(33594,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB139) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB139) | (~v116(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33595,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB139) | (~v116(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33596,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB139) | (~v116(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33595, 33594])).
% 136.63/87.30 tff(33597,plain,
% 136.63/87.30 (~v116(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33596, 934, 33589])).
% 136.63/87.30 tff(33598,plain,
% 136.63/87.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB139, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB139, bitIndex1))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33599,plain,
% 136.63/87.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB139, bitIndex1))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33600,plain,
% 136.63/87.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex1)) | (~v84(constB140, bitIndex1)) | v84(constB139, bitIndex1)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33599, 33598])).
% 136.63/87.30 tff(33601,plain,
% 136.63/87.30 (v94(constB140) | v84(constB139, bitIndex1)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33600, 805, 823, 33528, 33495])).
% 136.63/87.30 tff(33602,plain,
% 136.63/87.30 (v84(constB139, bitIndex1)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33601, 33525])).
% 136.63/87.30 tff(33603,plain,
% 136.63/87.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB139, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB139, bitIndex2)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33604,plain,
% 136.63/87.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB139, bitIndex2)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33605,plain,
% 136.63/87.30 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB139, bitIndex2))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33604, 33603])).
% 136.63/87.30 tff(33606,plain,
% 136.63/87.30 (v94(constB140) | (~v84(constB139, bitIndex2))),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33605, 777, 767, 33528, 33564])).
% 136.63/87.30 tff(33607,plain,
% 136.63/87.30 (~v84(constB139, bitIndex2)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33606, 33525])).
% 136.63/87.30 tff(33608,plain,
% 136.63/87.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)) | v116(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)) | v116(constB139))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33609,plain,
% 136.63/87.30 (((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139)) <=> ((~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)) | v116(constB139))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33610,plain,
% 136.63/87.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)) | v116(constB139)))),
% 136.63/87.30 inference(monotonicity,[status(thm)],[33609])).
% 136.63/87.30 tff(33611,plain,
% 136.63/87.30 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)) | v116(constB139))),
% 136.63/87.30 inference(transitivity,[status(thm)],[33610, 33608])).
% 136.63/87.30 tff(33612,plain,
% 136.63/87.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB139, bitIndex0)) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v116(constB139))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33613,plain,
% 136.63/87.30 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)) | v116(constB139)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33612, 33611])).
% 136.63/87.30 tff(33614,plain,
% 136.63/87.30 ((~v84(constB139, bitIndex0)) | v116(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33613, 1076, 33607, 33602])).
% 136.63/87.30 tff(33615,plain,
% 136.63/87.30 (~v84(constB139, bitIndex0)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33614, 33597])).
% 136.63/87.30 tff(33616,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33617,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33618,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | v84(constB139, bitIndex2) | v115(constB139)),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33617, 33616])).
% 136.63/87.30 tff(33619,plain,
% 136.63/87.30 (v84(constB139, bitIndex0) | v115(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33618, 1095, 33607, 33602])).
% 136.63/87.30 tff(33620,plain,
% 136.63/87.30 (v115(constB139)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33619, 33615])).
% 136.63/87.30 tff(33621,plain,
% 136.63/87.30 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB139) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB139) | (~v115(constB139)))),
% 136.63/87.30 inference(rewrite,[status(thm)],[])).
% 136.63/87.30 tff(33622,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB139) | (~v115(constB139)))),
% 136.63/87.30 inference(quant_inst,[status(thm)],[])).
% 136.63/87.30 tff(33623,plain,
% 136.63/87.30 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB139) | (~v115(constB139))),
% 136.63/87.30 inference(modus_ponens,[status(thm)],[33622, 33621])).
% 136.63/87.30 tff(33624,plain,
% 136.63/87.30 ($false),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33623, 945, 33620, 33593])).
% 136.63/87.30 tff(33625,plain,(v94(constB140) | v26(constB139) | (~v84(constB140, bitIndex1)) | v84(constB140, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.30 tff(33626,plain,
% 136.63/87.30 (~v84(constB140, bitIndex1)),
% 136.63/87.30 inference(unit_resolution,[status(thm)],[33625, 33564, 33563, 33525])).
% 136.63/87.30 tff(33627,plain,
% 136.63/87.30 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB139, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB139, bitIndex1)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33628,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB139, bitIndex1)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33629,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB139, bitIndex1))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33628, 33627])).
% 136.63/87.31 tff(33630,plain,
% 136.63/87.31 (~v84(constB139, bitIndex1)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33629, 777, 823, 33528, 33525, 33626])).
% 136.63/87.31 tff(33631,plain,
% 136.63/87.31 (~v84(constB139, bitIndex2)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33605, 777, 767, 33528, 33525, 33564])).
% 136.63/87.31 tff(33632,plain,
% 136.63/87.31 (~v107(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33575, 644, 33563, 33568])).
% 136.63/87.31 tff(33633,plain,
% 136.63/87.31 (~v108(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33580, 658, 33632])).
% 136.63/87.31 tff(33634,plain,
% 136.63/87.31 (~v109(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33584, 669, 33633])).
% 136.63/87.31 tff(33635,plain,
% 136.63/87.31 (~v110(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33588, 680, 33634])).
% 136.63/87.31 tff(33636,plain,
% 136.63/87.31 (~v111(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33592, 691, 33635])).
% 136.63/87.31 tff(33637,plain,
% 136.63/87.31 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB139) | (~v112(constB139)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB139) | (~v112(constB139)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33638,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB139) | (~v112(constB139)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33639,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB139) | (~v112(constB139))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33638, 33637])).
% 136.63/87.31 tff(33640,plain,
% 136.63/87.31 (~v112(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33639, 702, 33636])).
% 136.63/87.31 tff(33641,plain,
% 136.63/87.31 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB139) | (~v145(constB139)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB139) | (~v145(constB139)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33642,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB139) | (~v145(constB139)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33643,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB139) | (~v145(constB139))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33642, 33641])).
% 136.63/87.31 tff(33644,plain,
% 136.63/87.31 (~v145(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33643, 713, 33640])).
% 136.63/87.31 tff(33645,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33646,plain,
% 136.63/87.31 (((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139)) <=> (v145(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33647,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0))))),
% 136.63/87.31 inference(monotonicity,[status(thm)],[33646])).
% 136.63/87.31 tff(33648,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0)))),
% 136.63/87.31 inference(transitivity,[status(thm)],[33647, 33645])).
% 136.63/87.31 tff(33649,plain,
% 136.63/87.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | v145(constB139))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33650,plain,
% 136.63/87.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB139) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33649, 33648])).
% 136.63/87.31 tff(33651,plain,
% 136.63/87.31 (v84(constB139, bitIndex1) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex0))),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33650, 865, 33644])).
% 136.63/87.31 tff(33652,plain,
% 136.63/87.31 (~v84(constB139, bitIndex0)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33651, 33631, 33630])).
% 136.63/87.31 tff(33653,plain,
% 136.63/87.31 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB139) | (~v113(constB139)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB139) | (~v113(constB139)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33654,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB139) | (~v113(constB139)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33655,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB139) | (~v113(constB139))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33654, 33653])).
% 136.63/87.31 tff(33656,plain,
% 136.63/87.31 (~v113(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33655, 969, 33640])).
% 136.63/87.31 tff(33657,plain,
% 136.63/87.31 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33658,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33659,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB139) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2)),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33658, 33657])).
% 136.63/87.31 tff(33660,plain,
% 136.63/87.31 (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | v84(constB139, bitIndex2)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33659, 983, 33656])).
% 136.63/87.31 tff(33661,plain,
% 136.63/87.31 ($false),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33660, 33652, 33631, 33630])).
% 136.63/87.31 tff(33662,plain,(v84(constB140, bitIndex2) | v94(constB140)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.31 tff(33663,plain,
% 136.63/87.31 (v84(constB140, bitIndex2)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33662, 33525])).
% 136.63/87.31 tff(33664,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB139, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB139, bitIndex2))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33665,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB139, bitIndex2))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33666,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB139, bitIndex2)),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33665, 33664])).
% 136.63/87.31 tff(33667,plain,
% 136.63/87.31 (v84(constB139, bitIndex2)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33666, 805, 767, 33528, 33525, 33663])).
% 136.63/87.31 tff(33668,plain,
% 136.63/87.31 (~v84(constB139, bitIndex1)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33629, 777, 823, 33528, 33525, 33524])).
% 136.63/87.31 tff(33669,assumption,(v84(constB140, bitIndex0)), introduced(assumption)).
% 136.63/87.31 tff(33670,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB139, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB139, bitIndex0))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33671,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB139, bitIndex0))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33672,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB139, bitIndex0)),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33671, 33670])).
% 136.63/87.31 tff(33673,plain,
% 136.63/87.31 (v94(constB140) | v84(constB139, bitIndex0)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33672, 805, 795, 33528, 33669])).
% 136.63/87.31 tff(33674,plain,
% 136.63/87.31 (v84(constB139, bitIndex0)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33673, 33525])).
% 136.63/87.31 tff(33675,plain,
% 136.63/87.31 (v94(constB140) | (~v84(constB139, bitIndex1))),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33629, 777, 823, 33528, 33524])).
% 136.63/87.31 tff(33676,plain,
% 136.63/87.31 (~v84(constB139, bitIndex1)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33675, 33525])).
% 136.63/87.31 tff(33677,assumption,(v84(constB140, bitIndex2)), introduced(assumption)).
% 136.63/87.31 tff(33678,plain,
% 136.63/87.31 (v94(constB140) | v84(constB139, bitIndex2)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33666, 805, 767, 33528, 33677])).
% 136.63/87.31 tff(33679,plain,
% 136.63/87.31 (v84(constB139, bitIndex2)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33678, 33525])).
% 136.63/87.31 tff(33680,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139) | (~v84(constB139, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139) | (~v84(constB139, bitIndex0)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33681,plain,
% 136.63/87.31 (((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139)) <=> (v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139) | (~v84(constB139, bitIndex0)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33682,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139) | (~v84(constB139, bitIndex0))))),
% 136.63/87.31 inference(monotonicity,[status(thm)],[33681])).
% 136.63/87.31 tff(33683,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139) | (~v84(constB139, bitIndex0)))),
% 136.63/87.31 inference(transitivity,[status(thm)],[33682, 33680])).
% 136.63/87.31 tff(33684,plain,
% 136.63/87.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB139, bitIndex0)) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33685,plain,
% 136.63/87.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v118(constB139) | (~v84(constB139, bitIndex0))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33684, 33683])).
% 136.63/87.31 tff(33686,plain,
% 136.63/87.31 (v118(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33685, 1018, 33679, 33676, 33674])).
% 136.63/87.31 tff(33687,plain,
% 136.63/87.31 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB139) | (~v118(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB139) | (~v118(constB139)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33688,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB139) | (~v118(constB139)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33689,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB139) | (~v118(constB139))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 136.63/87.31 tff(33690,plain,
% 136.63/87.31 (v108(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33689, 1004, 33686])).
% 136.63/87.31 tff(33691,plain,
% 136.63/87.31 ($false),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33580, 658, 33690, 33632])).
% 136.63/87.31 tff(33692,plain,(v94(constB140) | (~v84(constB140, bitIndex0)) | v84(constB140, bitIndex1) | (~v84(constB140, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.31 tff(33693,plain,
% 136.63/87.31 (~v84(constB140, bitIndex0)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33692, 33524, 33525, 33663])).
% 136.63/87.31 tff(33694,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB139, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB139, bitIndex0)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33695,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB139, bitIndex0)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33696,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB139, constB140)) | v94(constB140) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB139, bitIndex0))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33695, 33694])).
% 136.63/87.31 tff(33697,plain,
% 136.63/87.31 (~v84(constB139, bitIndex0)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33696, 777, 795, 33528, 33525, 33693])).
% 136.63/87.31 tff(33698,plain,
% 136.63/87.31 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB139) | (~v172(constB139)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB139) | (~v172(constB139)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33699,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB139) | (~v172(constB139)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33700,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB139) | (~v172(constB139))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 136.63/87.31 tff(33701,plain,
% 136.63/87.31 (~v172(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33700, 1033, 33634])).
% 136.63/87.31 tff(33702,plain,
% 136.63/87.31 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v172(constB139))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v172(constB139))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33703,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v172(constB139))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33704,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2)) | v172(constB139)),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33703, 33702])).
% 136.63/87.31 tff(33705,plain,
% 136.63/87.31 (v84(constB139, bitIndex0) | v84(constB139, bitIndex1) | (~v84(constB139, bitIndex2))),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33704, 1047, 33701])).
% 136.63/87.31 tff(33706,plain,
% 136.63/87.31 ($false),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33705, 33697, 33668, 33667])).
% 136.63/87.31 tff(33707,plain,(v84(constB140, bitIndex1) | v94(constB140)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.31 tff(33708,plain,
% 136.63/87.31 (v94(constB140)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33707, 33524])).
% 136.63/87.31 tff(33709,assumption,(v123(constB140, bitIndex1)), introduced(assumption)).
% 136.63/87.31 tff(33710,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB140)) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33711,plain,
% 136.63/87.31 (((~less_3(bitIndex1)) | (~v94(constB140)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1))) <=> ((~v94(constB140)) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33712,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB140)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB140)) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1))))),
% 136.63/87.31 inference(monotonicity,[status(thm)],[33711])).
% 136.63/87.31 tff(33713,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB140)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)))),
% 136.63/87.31 inference(transitivity,[status(thm)],[33712, 33710])).
% 136.63/87.31 tff(33714,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB140)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33715,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33714, 33713])).
% 136.63/87.31 tff(33716,plain,
% 136.63/87.31 ((~v94(constB140)) | v84(constB140, bitIndex1)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33715, 1674, 823, 33709])).
% 136.63/87.31 tff(33717,plain,
% 136.63/87.31 ($false),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33716, 33708, 33524])).
% 136.63/87.31 tff(33718,plain,(v84(constB140, bitIndex1) | (~v123(constB140, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.31 tff(33719,plain,
% 136.63/87.31 (~v123(constB140, bitIndex1)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33718, 33523])).
% 136.63/87.31 tff(33720,assumption,(~v123(constB140, bitIndex1)), introduced(assumption)).
% 136.63/87.31 tff(33721,assumption,(v121(constB139, bitIndex1)), introduced(assumption)).
% 136.63/87.31 tff(33722,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex1)) | v123(constB140, bitIndex1) | (~v121(constB139, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex1)) | v123(constB140, bitIndex1) | (~v121(constB139, bitIndex1)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33723,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex1)) | v123(constB140, bitIndex1) | (~v121(constB139, bitIndex1)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33724,plain,
% 136.63/87.31 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex1)) | v123(constB140, bitIndex1) | (~v121(constB139, bitIndex1))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33723, 33722])).
% 136.63/87.31 tff(33725,plain,
% 136.63/87.31 ($false),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33724, 1708, 823, 33528, 33721, 33720])).
% 136.63/87.31 tff(33726,plain,(v123(constB140, bitIndex1) | (~v121(constB139, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.31 tff(33727,plain,
% 136.63/87.31 (~v121(constB139, bitIndex1)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33726, 33719])).
% 136.63/87.31 tff(33728,assumption,(v26(constB139)), introduced(assumption)).
% 136.63/87.31 tff(33729,plain,
% 136.63/87.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33730,plain,
% 136.63/87.31 ($false),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33729, 1172, 33728])).
% 136.63/87.31 tff(33731,plain,(~v26(constB139)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.31 tff(33732,plain,
% 136.63/87.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex1)) | v121(constB139, bitIndex1) | (~v124(constB139, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex1)) | v121(constB139, bitIndex1) | (~v124(constB139, bitIndex1)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33733,plain,
% 136.63/87.31 ((v26(constB139) | v121(constB139, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1))) <=> (v26(constB139) | (~less_3(bitIndex1)) | v121(constB139, bitIndex1) | (~v124(constB139, bitIndex1)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33734,plain,
% 136.63/87.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex1)) | v121(constB139, bitIndex1) | (~v124(constB139, bitIndex1))))),
% 136.63/87.31 inference(monotonicity,[status(thm)],[33733])).
% 136.63/87.31 tff(33735,plain,
% 136.63/87.31 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex1)) | v121(constB139, bitIndex1) | (~v124(constB139, bitIndex1)))),
% 136.63/87.31 inference(transitivity,[status(thm)],[33734, 33732])).
% 136.63/87.31 tff(33736,plain,
% 136.63/87.31 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33737,plain,
% 136.63/87.31 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex1)) | v121(constB139, bitIndex1) | (~v124(constB139, bitIndex1))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33736, 33735])).
% 136.63/87.31 tff(33738,plain,
% 136.63/87.31 (~v124(constB139, bitIndex1)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33737, 1728, 823, 33731, 33727])).
% 136.63/87.31 tff(33739,plain,
% 136.63/87.31 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33740,plain,
% 136.63/87.31 (((~v118(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v118(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33741,plain,
% 136.63/87.31 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1)))),
% 136.63/87.31 inference(monotonicity,[status(thm)],[33740])).
% 136.63/87.31 tff(33742,plain,
% 136.63/87.31 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.31 inference(transitivity,[status(thm)],[33741, 33739])).
% 136.63/87.31 tff(33743,plain,
% 136.63/87.31 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b011(bitIndex1)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33744,plain,
% 136.63/87.31 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1)),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33743, 33742])).
% 136.63/87.31 tff(33745,plain,
% 136.63/87.31 (~v118(constB139)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33744, 3033, 1145, 823, 33738])).
% 136.63/87.31 tff(33746,assumption,(~v119(constB139)), introduced(assumption)).
% 136.63/87.31 tff(33747,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB141)) | (~v84(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB141)) | (~v84(constB141, bitIndex2)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33748,plain,
% 136.63/87.31 (((~v84(constB141, bitIndex2)) | (~v145(constB141))) <=> ((~v145(constB141)) | (~v84(constB141, bitIndex2)))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33749,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB141)) | (~v84(constB141, bitIndex2))))),
% 136.63/87.31 inference(monotonicity,[status(thm)],[33748])).
% 136.63/87.31 tff(33750,plain,
% 136.63/87.31 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB141)) | (~v84(constB141, bitIndex2)))),
% 136.63/87.31 inference(transitivity,[status(thm)],[33749, 33747])).
% 136.63/87.31 tff(33751,plain,
% 136.63/87.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v145(constB141)))),
% 136.63/87.31 inference(quant_inst,[status(thm)],[])).
% 136.63/87.31 tff(33752,plain,
% 136.63/87.31 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB141)) | (~v84(constB141, bitIndex2))),
% 136.63/87.31 inference(modus_ponens,[status(thm)],[33751, 33750])).
% 136.63/87.31 tff(33753,plain,
% 136.63/87.31 (~v84(constB141, bitIndex2)),
% 136.63/87.31 inference(unit_resolution,[status(thm)],[33752, 725, 33487])).
% 136.63/87.31 tff(33754,assumption,(~v84(constB141, bitIndex2)), introduced(assumption)).
% 136.63/87.31 tff(33755,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33756,plain,
% 136.63/87.31 (((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB140, bitIndex2))) <=> ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2))),
% 136.63/87.31 inference(rewrite,[status(thm)],[])).
% 136.63/87.31 tff(33757,plain,
% 136.63/87.31 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB140, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33756])).
% 136.63/87.32 tff(33758,plain,
% 136.63/87.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB140, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33757, 33755])).
% 136.63/87.32 tff(33759,plain,
% 136.63/87.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB140, bitIndex2)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33760,plain,
% 136.63/87.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB140, bitIndex2)) | v84(constB141, bitIndex2)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33759, 33758])).
% 136.63/87.32 tff(33761,plain,
% 136.63/87.32 ($false),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33760, 777, 767, 33502, 33514, 33754, 33677])).
% 136.63/87.32 tff(33762,plain,(v84(constB141, bitIndex2) | (~v84(constB140, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.32 tff(33763,plain,
% 136.63/87.32 (~v84(constB140, bitIndex2)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33762, 33753])).
% 136.63/87.32 tff(33764,plain,
% 136.63/87.32 (v94(constB140)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33662, 33763])).
% 136.63/87.32 tff(33765,plain,
% 136.63/87.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v94(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v94(constB140)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33766,plain,
% 136.63/87.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB139, constB140)) | v104(constB140) | (~v94(constB140)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33767,plain,
% 136.63/87.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB139, constB140)) | v104(constB140) | (~v94(constB140))),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33766, 33765])).
% 136.63/87.32 tff(33768,plain,
% 136.63/87.32 (v104(constB140) | (~v94(constB140))),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33767, 3113, 33528])).
% 136.63/87.32 tff(33769,plain,
% 136.63/87.32 (v104(constB140)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33768, 33764])).
% 136.63/87.32 tff(33770,plain,
% 136.63/87.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB139, constB140)) | (~v104(constB140)) | v102(constB139))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB139, constB140)) | (~v104(constB140)) | v102(constB139))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33771,plain,
% 136.63/87.32 (((~nextState(constB139, constB140)) | v102(constB139) | (~v104(constB140))) <=> ((~nextState(constB139, constB140)) | (~v104(constB140)) | v102(constB139))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33772,plain,
% 136.63/87.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB139, constB140)) | v102(constB139) | (~v104(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB139, constB140)) | (~v104(constB140)) | v102(constB139)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33771])).
% 136.63/87.32 tff(33773,plain,
% 136.63/87.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB139, constB140)) | v102(constB139) | (~v104(constB140)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB139, constB140)) | (~v104(constB140)) | v102(constB139))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33772, 33770])).
% 136.63/87.32 tff(33774,plain,
% 136.63/87.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB139, constB140)) | v102(constB139) | (~v104(constB140)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33775,plain,
% 136.63/87.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB139, constB140)) | (~v104(constB140)) | v102(constB139)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33774, 33773])).
% 136.63/87.32 tff(33776,plain,
% 136.63/87.32 ((~v104(constB140)) | v102(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33775, 3128, 33528])).
% 136.63/87.32 tff(33777,plain,
% 136.63/87.32 (v102(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33776, 33769])).
% 136.63/87.32 tff(33778,plain,
% 136.63/87.32 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB139)) | v26(constB139) | v106(constB139))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB139)) | v26(constB139) | v106(constB139))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33779,plain,
% 136.63/87.32 ((v26(constB139) | v106(constB139) | (~v102(constB139))) <=> ((~v102(constB139)) | v26(constB139) | v106(constB139))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33780,plain,
% 136.63/87.32 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB139) | v106(constB139) | (~v102(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB139)) | v26(constB139) | v106(constB139)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33779])).
% 136.63/87.32 tff(33781,plain,
% 136.63/87.32 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB139) | v106(constB139) | (~v102(constB139)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB139)) | v26(constB139) | v106(constB139))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33780, 33778])).
% 136.63/87.32 tff(33782,plain,
% 136.63/87.32 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB139) | v106(constB139) | (~v102(constB139)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33783,plain,
% 136.63/87.32 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB139)) | v26(constB139) | v106(constB139)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33782, 33781])).
% 136.63/87.32 tff(33784,plain,
% 136.63/87.32 ((~v102(constB139)) | v106(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33783, 3146, 33731])).
% 136.63/87.32 tff(33785,plain,
% 136.63/87.32 (v106(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33784, 33777])).
% 136.63/87.32 tff(33786,plain,
% 136.63/87.32 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB139) | (~v106(constB139)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB139) | (~v106(constB139)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33787,plain,
% 136.63/87.32 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB139) | (~v106(constB139)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33788,plain,
% 136.63/87.32 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB139) | (~v106(constB139))),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33787, 33786])).
% 136.63/87.32 tff(33789,plain,
% 136.63/87.32 (v107(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33788, 3161, 33785])).
% 136.63/87.32 tff(33790,plain,
% 136.63/87.32 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB139) | v119(constB139) | (~v107(constB139)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB139) | v119(constB139) | (~v107(constB139)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33791,plain,
% 136.63/87.32 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB139) | v119(constB139) | (~v107(constB139)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33792,plain,
% 136.63/87.32 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB139) | v119(constB139) | (~v107(constB139))),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33791, 33790])).
% 136.63/87.32 tff(33793,plain,
% 136.63/87.32 (v108(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33792, 3195, 33789, 33746])).
% 136.63/87.32 tff(33794,plain,
% 136.63/87.32 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB139) | v118(constB139) | (~v108(constB139)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB139) | v118(constB139) | (~v108(constB139)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33795,plain,
% 136.63/87.32 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB139) | v118(constB139) | (~v108(constB139)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33796,plain,
% 136.63/87.32 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB139) | v118(constB139) | (~v108(constB139))),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33795, 33794])).
% 136.63/87.32 tff(33797,plain,
% 136.63/87.32 (v109(constB139) | v118(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33796, 2856, 33793])).
% 136.63/87.32 tff(33798,plain,
% 136.63/87.32 (v109(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33797, 33745])).
% 136.63/87.32 tff(33799,plain,
% 136.63/87.32 (v94(constB140)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33662, 33564])).
% 136.63/87.32 tff(33800,assumption,(v123(constB140, bitIndex2)), introduced(assumption)).
% 136.63/87.32 tff(33801,plain,
% 136.63/87.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB140)) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33802,plain,
% 136.63/87.32 (((~less_3(bitIndex2)) | (~v94(constB140)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2))) <=> ((~v94(constB140)) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33803,plain,
% 136.63/87.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB140)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB140)) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2))))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33802])).
% 136.63/87.32 tff(33804,plain,
% 136.63/87.32 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB140)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33803, 33801])).
% 136.63/87.32 tff(33805,plain,
% 136.63/87.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB140)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33806,plain,
% 136.63/87.32 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2))),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33805, 33804])).
% 136.63/87.32 tff(33807,plain,
% 136.63/87.32 ((~v94(constB140)) | v84(constB140, bitIndex2)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33806, 1674, 767, 33800])).
% 136.63/87.32 tff(33808,plain,
% 136.63/87.32 ($false),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33807, 33799, 33564])).
% 136.63/87.32 tff(33809,plain,(v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.32 tff(33810,plain,
% 136.63/87.32 (~v123(constB140, bitIndex2)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33809, 33763])).
% 136.63/87.32 tff(33811,assumption,(~v123(constB140, bitIndex2)), introduced(assumption)).
% 136.63/87.32 tff(33812,assumption,(v121(constB139, bitIndex2)), introduced(assumption)).
% 136.63/87.32 tff(33813,plain,
% 136.63/87.32 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex2)) | v123(constB140, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex2)) | v123(constB140, bitIndex2) | (~v121(constB139, bitIndex2)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33814,plain,
% 136.63/87.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex2)) | v123(constB140, bitIndex2) | (~v121(constB139, bitIndex2)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33815,plain,
% 136.63/87.32 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex2)) | v123(constB140, bitIndex2) | (~v121(constB139, bitIndex2))),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33814, 33813])).
% 136.63/87.32 tff(33816,plain,
% 136.63/87.32 ($false),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33815, 1708, 767, 33528, 33812, 33811])).
% 136.63/87.32 tff(33817,plain,(v123(constB140, bitIndex2) | (~v121(constB139, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.32 tff(33818,plain,
% 136.63/87.32 (~v121(constB139, bitIndex2)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33817, 33810])).
% 136.63/87.32 tff(33819,assumption,(~v121(constB139, bitIndex2)), introduced(assumption)).
% 136.63/87.32 tff(33820,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33821,plain,
% 136.63/87.32 ((v26(constB139) | v121(constB139, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2))) <=> (v26(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33822,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33821])).
% 136.63/87.32 tff(33823,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33822, 33820])).
% 136.63/87.32 tff(33824,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33825,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | v121(constB139, bitIndex2)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33824, 33823])).
% 136.63/87.32 tff(33826,plain,
% 136.63/87.32 (v26(constB139) | (~v124(constB139, bitIndex2))),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33825, 1728, 767, 33819])).
% 136.63/87.32 tff(33827,plain,
% 136.63/87.32 (~v124(constB139, bitIndex2)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33826, 33569])).
% 136.63/87.32 tff(33828,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33829,plain,
% 136.63/87.32 (((~v116(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v116(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33830,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v116(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33829])).
% 136.63/87.32 tff(33831,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33830, 33828])).
% 136.63/87.32 tff(33832,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b100(bitIndex2)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33833,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v116(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33832, 33831])).
% 136.63/87.32 tff(33834,plain,
% 136.63/87.32 (~v116(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33833, 1772, 1769, 767, 33827])).
% 136.63/87.32 tff(33835,assumption,(~v121(constB139, bitIndex1)), introduced(assumption)).
% 136.63/87.32 tff(33836,plain,
% 136.63/87.32 (v26(constB139) | (~v124(constB139, bitIndex1))),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33737, 1728, 823, 33835])).
% 136.63/87.32 tff(33837,plain,
% 136.63/87.32 (~v124(constB139, bitIndex1)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33836, 33569])).
% 136.63/87.32 tff(33838,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33839,plain,
% 136.63/87.32 (((~v115(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33840,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33839])).
% 136.63/87.32 tff(33841,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33840, 33838])).
% 136.63/87.32 tff(33842,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b011(bitIndex1)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33843,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB139)) | (~b011(bitIndex1)) | v124(constB139, bitIndex1)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33842, 33841])).
% 136.63/87.32 tff(33844,plain,
% 136.63/87.32 (~v115(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33843, 3033, 1193, 823, 33837])).
% 136.63/87.32 tff(33845,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB139)) | (~b110(bitIndex1)) | v124(constB139, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB139)) | (~b110(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33846,plain,
% 136.63/87.32 (((~v172(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v172(constB139)) | (~b110(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33847,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB139)) | (~b110(bitIndex1)) | v124(constB139, bitIndex1)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33846])).
% 136.63/87.32 tff(33848,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB139)) | (~b110(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33847, 33845])).
% 136.63/87.32 tff(33849,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b110(bitIndex1)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33850,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB139)) | (~b110(bitIndex1)) | v124(constB139, bitIndex1)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33849, 33848])).
% 136.63/87.32 tff(33851,plain,
% 136.63/87.32 (~v172(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33850, 1801, 1798, 823, 33837])).
% 136.63/87.32 tff(33852,plain,
% 136.63/87.32 (~v118(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33744, 3033, 1145, 823, 33837])).
% 136.63/87.32 tff(33853,assumption,(~v121(constB139, bitIndex0)), introduced(assumption)).
% 136.63/87.32 tff(33854,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex0)) | v121(constB139, bitIndex0) | (~v124(constB139, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex0)) | v121(constB139, bitIndex0) | (~v124(constB139, bitIndex0)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33855,plain,
% 136.63/87.32 ((v26(constB139) | v121(constB139, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0))) <=> (v26(constB139) | (~less_3(bitIndex0)) | v121(constB139, bitIndex0) | (~v124(constB139, bitIndex0)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33856,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex0)) | v121(constB139, bitIndex0) | (~v124(constB139, bitIndex0))))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33855])).
% 136.63/87.32 tff(33857,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex0)) | v121(constB139, bitIndex0) | (~v124(constB139, bitIndex0)))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33856, 33854])).
% 136.63/87.32 tff(33858,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB139) | v121(constB139, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33859,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex0)) | v121(constB139, bitIndex0) | (~v124(constB139, bitIndex0))),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33858, 33857])).
% 136.63/87.32 tff(33860,plain,
% 136.63/87.32 (v26(constB139) | (~v124(constB139, bitIndex0))),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33859, 1728, 795, 33853])).
% 136.63/87.32 tff(33861,plain,
% 136.63/87.32 (~v124(constB139, bitIndex0)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33860, 33569])).
% 136.63/87.32 tff(33862,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33863,plain,
% 136.63/87.32 (((~v113(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v113(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33864,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~v113(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33863])).
% 136.63/87.32 tff(33865,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33864, 33862])).
% 136.63/87.32 tff(33866,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b100(bitIndex2)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33867,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~v113(constB139)) | (~b100(bitIndex2)) | v124(constB139, bitIndex2)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33866, 33865])).
% 136.63/87.32 tff(33868,plain,
% 136.63/87.32 (~v113(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33867, 1772, 1838, 767, 33827])).
% 136.63/87.32 tff(33869,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB139)) | (~b010(bitIndex1)) | v124(constB139, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB139)) | (~b010(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33870,plain,
% 136.63/87.32 (((~v145(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB139)) | (~b010(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33871,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB139)) | (~b010(bitIndex1)) | v124(constB139, bitIndex1)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33870])).
% 136.63/87.32 tff(33872,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB139)) | (~b010(bitIndex1)) | v124(constB139, bitIndex1))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33871, 33869])).
% 136.63/87.32 tff(33873,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB139)) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~b010(bitIndex1)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33874,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB139)) | (~b010(bitIndex1)) | v124(constB139, bitIndex1)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33873, 33872])).
% 136.63/87.32 tff(33875,plain,
% 136.63/87.32 (~v145(constB139)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33874, 1821, 1818, 823, 33837])).
% 136.63/87.32 tff(33876,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~b001(bitIndex0)) | v124(constB139, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~b001(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33877,plain,
% 136.63/87.32 ((v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~b001(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33878,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~b001(bitIndex0)) | v124(constB139, bitIndex0)))),
% 136.63/87.32 inference(monotonicity,[status(thm)],[33877])).
% 136.63/87.32 tff(33879,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~b001(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.63/87.32 inference(transitivity,[status(thm)],[33878, 33876])).
% 136.63/87.32 tff(33880,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b001(bitIndex0)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33881,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~b001(bitIndex0)) | v124(constB139, bitIndex0)),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33880, 33879])).
% 136.63/87.32 tff(33882,plain,
% 136.63/87.32 ($false),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33881, 1213, 1210, 795, 33875, 33868, 33861, 33852, 33851, 33844, 33834])).
% 136.63/87.32 tff(33883,plain,(v26(constB139) | v121(constB139, bitIndex0) | v121(constB139, bitIndex2) | v121(constB139, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.32 tff(33884,plain,
% 136.63/87.32 (v121(constB139, bitIndex0) | v121(constB139, bitIndex2) | v121(constB139, bitIndex1)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33883, 33731])).
% 136.63/87.32 tff(33885,plain,
% 136.63/87.32 (v121(constB139, bitIndex0)),
% 136.63/87.32 inference(unit_resolution,[status(thm)],[33884, 33818, 33727])).
% 136.63/87.32 tff(33886,plain,
% 136.63/87.32 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))),
% 136.63/87.32 inference(rewrite,[status(thm)],[])).
% 136.63/87.32 tff(33887,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0)))),
% 136.63/87.32 inference(quant_inst,[status(thm)],[])).
% 136.63/87.32 tff(33888,plain,
% 136.63/87.32 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~v121(constB139, bitIndex0))),
% 136.63/87.32 inference(modus_ponens,[status(thm)],[33887, 33886])).
% 136.63/87.32 tff(33889,plain,
% 136.63/87.32 (v124(constB139, bitIndex0)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33888, 1380, 795, 33731, 33885])).
% 136.63/87.33 tff(33890,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB139)) | (~v124(constB139, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33891,plain,
% 136.63/87.33 (((~v172(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33892,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB139)) | (~v124(constB139, bitIndex0))))),
% 136.63/87.33 inference(monotonicity,[status(thm)],[33891])).
% 136.63/87.33 tff(33893,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(transitivity,[status(thm)],[33892, 33890])).
% 136.63/87.33 tff(33894,plain,
% 136.63/87.33 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b110(bitIndex0))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33895,plain,
% 136.63/87.33 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB139)) | (~v124(constB139, bitIndex0))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33894, 33893])).
% 136.63/87.33 tff(33896,plain,
% 136.63/87.33 (~v172(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33895, 1997, 1994, 795, 33889])).
% 136.63/87.33 tff(33897,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB139)) | v172(constB139) | v110(constB139))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB139)) | v172(constB139) | v110(constB139))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33898,plain,
% 136.63/87.33 ((v110(constB139) | (~v109(constB139)) | v172(constB139)) <=> ((~v109(constB139)) | v172(constB139) | v110(constB139))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33899,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB139) | (~v109(constB139)) | v172(constB139))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB139)) | v172(constB139) | v110(constB139)))),
% 136.63/87.33 inference(monotonicity,[status(thm)],[33898])).
% 136.63/87.33 tff(33900,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB139) | (~v109(constB139)) | v172(constB139))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB139)) | v172(constB139) | v110(constB139))),
% 136.63/87.33 inference(transitivity,[status(thm)],[33899, 33897])).
% 136.63/87.33 tff(33901,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB139) | (~v109(constB139)) | v172(constB139))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33902,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB139)) | v172(constB139) | v110(constB139)),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33901, 33900])).
% 136.63/87.33 tff(33903,plain,
% 136.63/87.33 (v110(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33902, 2871, 33896, 33798])).
% 136.63/87.33 tff(33904,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB139)) | (~v124(constB139, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33905,plain,
% 136.63/87.33 (((~v116(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33906,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB139)) | (~v124(constB139, bitIndex0))))),
% 136.63/87.33 inference(monotonicity,[status(thm)],[33905])).
% 136.63/87.33 tff(33907,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(transitivity,[status(thm)],[33906, 33904])).
% 136.63/87.33 tff(33908,plain,
% 136.63/87.33 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b100(bitIndex0))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33909,plain,
% 136.63/87.33 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB139)) | (~v124(constB139, bitIndex0))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33908, 33907])).
% 136.63/87.33 tff(33910,plain,
% 136.63/87.33 (~v116(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33909, 2386, 2164, 795, 33889])).
% 136.63/87.33 tff(33911,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB139) | v116(constB139) | (~v110(constB139)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB139) | v116(constB139) | (~v110(constB139)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33912,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB139) | v116(constB139) | (~v110(constB139)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33913,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB139) | v116(constB139) | (~v110(constB139))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33912, 33911])).
% 136.63/87.33 tff(33914,plain,
% 136.63/87.33 (v111(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33913, 2932, 33910, 33903])).
% 136.63/87.33 tff(33915,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB139)) | (~v124(constB139, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33916,plain,
% 136.63/87.33 (((~v113(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33917,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB139)) | (~v124(constB139, bitIndex0))))),
% 136.63/87.33 inference(monotonicity,[status(thm)],[33916])).
% 136.63/87.33 tff(33918,plain,
% 136.63/87.33 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB139)) | (~v124(constB139, bitIndex0)))),
% 136.63/87.33 inference(transitivity,[status(thm)],[33917, 33915])).
% 136.63/87.33 tff(33919,plain,
% 136.63/87.33 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB139)) | (~less_3(bitIndex0)) | (~v124(constB139, bitIndex0)) | b100(bitIndex0))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33920,plain,
% 136.63/87.33 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB139)) | (~v124(constB139, bitIndex0))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33919, 33918])).
% 136.63/87.33 tff(33921,plain,
% 136.63/87.33 (~v113(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33920, 2386, 2186, 795, 33889])).
% 136.63/87.33 tff(33922,assumption,(~v124(constB139, bitIndex1)), introduced(assumption)).
% 136.63/87.33 tff(33923,assumption,(v145(constB139)), introduced(assumption)).
% 136.63/87.33 tff(33924,plain,
% 136.63/87.33 ($false),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33874, 1821, 1818, 823, 33923, 33922])).
% 136.63/87.33 tff(33925,plain,(v124(constB139, bitIndex1) | (~v145(constB139))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.33 tff(33926,plain,
% 136.63/87.33 (~v145(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33925, 33738])).
% 136.63/87.33 tff(33927,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB139) | (~v112(constB139)) | v113(constB139))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB139) | (~v112(constB139)) | v113(constB139))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33928,plain,
% 136.63/87.33 ((v113(constB139) | (~v112(constB139)) | v145(constB139)) <=> (v145(constB139) | (~v112(constB139)) | v113(constB139))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33929,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB139) | (~v112(constB139)) | v145(constB139))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB139) | (~v112(constB139)) | v113(constB139)))),
% 136.63/87.33 inference(monotonicity,[status(thm)],[33928])).
% 136.63/87.33 tff(33930,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB139) | (~v112(constB139)) | v145(constB139))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB139) | (~v112(constB139)) | v113(constB139))),
% 136.63/87.33 inference(transitivity,[status(thm)],[33929, 33927])).
% 136.63/87.33 tff(33931,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB139) | (~v112(constB139)) | v145(constB139))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33932,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB139) | (~v112(constB139)) | v113(constB139)),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33931, 33930])).
% 136.63/87.33 tff(33933,plain,
% 136.63/87.33 (~v112(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33932, 2894, 33926, 33921])).
% 136.63/87.33 tff(33934,plain,
% 136.63/87.33 (~v115(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33843, 3033, 1193, 823, 33738])).
% 136.63/87.33 tff(33935,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB139) | v115(constB139) | (~v111(constB139)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB139) | v115(constB139) | (~v111(constB139)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33936,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB139) | v115(constB139) | (~v111(constB139)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33937,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB139) | v115(constB139) | (~v111(constB139))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33936, 33935])).
% 136.63/87.33 tff(33938,plain,
% 136.63/87.33 ($false),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33937, 2911, 33934, 33933, 33914])).
% 136.63/87.33 tff(33939,plain,((~v145(constB141)) | v119(constB139)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.33 tff(33940,plain,
% 136.63/87.33 (~v145(constB141)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33939, 33486])).
% 136.63/87.33 tff(33941,plain,
% 136.63/87.33 (~v112(constB137)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33359, 702, 33350])).
% 136.63/87.33 tff(33942,plain,
% 136.63/87.33 (~v145(constB137)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33363, 713, 33941])).
% 136.63/87.33 tff(33943,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB137) | (~v118(constB137)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB137) | (~v118(constB137)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33944,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB137) | (~v118(constB137)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33945,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB137) | (~v118(constB137))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33944, 33943])).
% 136.63/87.33 tff(33946,plain,
% 136.63/87.33 (~v118(constB137)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33945, 1004, 33338])).
% 136.63/87.33 tff(33947,plain,
% 136.63/87.33 (v84(constB137, bitIndex2)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33446, 32922, 33066])).
% 136.63/87.33 tff(33948,assumption,(~v118(constB137)), introduced(assumption)).
% 136.63/87.33 tff(33949,plain,
% 136.63/87.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2)) | v118(constB137))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2)) | v118(constB137))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33950,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2)) | v118(constB137))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33951,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2)) | v118(constB137)),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33950, 33949])).
% 136.63/87.33 tff(33952,plain,
% 136.63/87.33 ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex1) | (~v84(constB137, bitIndex2))),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33951, 1018, 33948])).
% 136.63/87.33 tff(33953,plain,
% 136.63/87.33 ($false),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33952, 33947, 32922, 33086])).
% 136.63/87.33 tff(33954,plain,(v84(constB137, bitIndex1) | (~v84(constB137, bitIndex0)) | v118(constB137) | v145(constB137)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.33 tff(33955,plain,
% 136.63/87.33 (v84(constB137, bitIndex1)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33954, 33449, 33946, 33942])).
% 136.63/87.33 tff(33956,assumption,(~v84(constB138, bitIndex1)), introduced(assumption)).
% 136.63/87.33 tff(33957,plain,
% 136.63/87.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex1)) | v84(constB138, bitIndex1) | (~v84(constB137, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex1)) | v84(constB138, bitIndex1) | (~v84(constB137, bitIndex1)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33958,plain,
% 136.63/87.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex1)) | v84(constB138, bitIndex1) | (~v84(constB137, bitIndex1)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33959,plain,
% 136.63/87.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB137, constB138)) | v94(constB138) | (~less_3(bitIndex1)) | v84(constB138, bitIndex1) | (~v84(constB137, bitIndex1))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33958, 33957])).
% 136.63/87.33 tff(33960,plain,
% 136.63/87.33 ($false),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33959, 777, 823, 32941, 32938, 33956, 33061])).
% 136.63/87.33 tff(33961,plain,(v84(constB138, bitIndex1) | v94(constB138) | (~v84(constB137, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.33 tff(33962,plain,
% 136.63/87.33 (v84(constB138, bitIndex1)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33961, 33955, 32938])).
% 136.63/87.33 tff(33963,assumption,(~v84(constB139, bitIndex1)), introduced(assumption)).
% 136.63/87.33 tff(33964,assumption,(v84(constB138, bitIndex1)), introduced(assumption)).
% 136.63/87.33 tff(33965,plain,
% 136.63/87.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex1)) | v84(constB139, bitIndex1) | (~v84(constB138, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex1)) | v84(constB139, bitIndex1) | (~v84(constB138, bitIndex1)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33966,plain,
% 136.63/87.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex1)) | v84(constB139, bitIndex1) | (~v84(constB138, bitIndex1)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33967,plain,
% 136.63/87.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex1)) | v84(constB139, bitIndex1) | (~v84(constB138, bitIndex1))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33966, 33965])).
% 136.63/87.33 tff(33968,plain,
% 136.63/87.33 ($false),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33967, 777, 823, 33457, 33469, 33964, 33963])).
% 136.63/87.33 tff(33969,plain,(v84(constB139, bitIndex1) | (~v84(constB138, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.33 tff(33970,plain,
% 136.63/87.33 (v84(constB139, bitIndex1)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33969, 33962])).
% 136.63/87.33 tff(33971,plain,
% 136.63/87.33 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB139)) | (~v84(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB139)) | (~v84(constB139, bitIndex1)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33972,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB139)) | (~v84(constB139, bitIndex1)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33973,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB139)) | (~v84(constB139, bitIndex1))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33972, 33971])).
% 136.63/87.33 tff(33974,plain,
% 136.63/87.33 (~v113(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33973, 1465, 33970])).
% 136.63/87.33 tff(33975,plain,
% 136.63/87.33 ((~v112(constB139)) | v113(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33932, 2894, 1])).
% 136.63/87.33 tff(33976,plain,
% 136.63/87.33 (~v112(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33975, 33974])).
% 136.63/87.33 tff(33977,plain,
% 136.63/87.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB139, bitIndex0)) | (~v115(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB139, bitIndex0)) | (~v115(constB139)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33978,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB139, bitIndex0)) | (~v115(constB139)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33979,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB139, bitIndex0)) | (~v115(constB139))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33978, 33977])).
% 136.63/87.33 tff(33980,plain,
% 136.63/87.33 (~v115(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33979, 3011, 33475])).
% 136.63/87.33 tff(33981,plain,
% 136.63/87.33 (~v111(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33937, 2911, 33980, 33976])).
% 136.63/87.33 tff(33982,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB137) | (~v116(constB137)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB137) | (~v116(constB137)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33983,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB137) | (~v116(constB137)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33984,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB137) | (~v116(constB137))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33983, 33982])).
% 136.63/87.33 tff(33985,plain,
% 136.63/87.33 (~v116(constB137)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33984, 934, 33346])).
% 136.63/87.33 tff(33986,plain,
% 136.63/87.33 ((~v84(constB137, bitIndex0)) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1))),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33195, 1076, 33985])).
% 136.63/87.33 tff(33987,plain,
% 136.63/87.33 (v84(constB137, bitIndex2)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33986, 33955, 33449])).
% 136.63/87.33 tff(33988,plain,
% 136.63/87.33 (v84(constB138, bitIndex2)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[32946, 33987, 32938])).
% 136.63/87.33 tff(33989,assumption,(~v84(constB139, bitIndex2)), introduced(assumption)).
% 136.63/87.33 tff(33990,plain,
% 136.63/87.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex2)) | v84(constB139, bitIndex2) | (~v84(constB138, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex2)) | v84(constB139, bitIndex2) | (~v84(constB138, bitIndex2)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33991,plain,
% 136.63/87.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex2)) | v84(constB139, bitIndex2) | (~v84(constB138, bitIndex2)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33992,plain,
% 136.63/87.33 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB138, constB139)) | v94(constB139) | (~less_3(bitIndex2)) | v84(constB139, bitIndex2) | (~v84(constB138, bitIndex2))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33991, 33990])).
% 136.63/87.33 tff(33993,plain,
% 136.63/87.33 ($false),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33992, 777, 767, 33457, 33469, 33157, 33989])).
% 136.63/87.33 tff(33994,plain,(v84(constB139, bitIndex2) | (~v84(constB138, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.33 tff(33995,plain,
% 136.63/87.33 (v84(constB139, bitIndex2)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33994, 33988])).
% 136.63/87.33 tff(33996,plain,
% 136.63/87.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB139, bitIndex2)) | (~v116(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB139, bitIndex2)) | (~v116(constB139)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(33997,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB139, bitIndex2)) | (~v116(constB139)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(33998,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB139, bitIndex2)) | (~v116(constB139))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[33997, 33996])).
% 136.63/87.33 tff(33999,plain,
% 136.63/87.33 (~v116(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33998, 1130, 33995])).
% 136.63/87.33 tff(34000,plain,
% 136.63/87.33 (~v110(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33913, 2932, 33999, 33981])).
% 136.63/87.33 tff(34001,plain,
% 136.63/87.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v172(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB139, bitIndex1)) | (~v172(constB139)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(34002,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v172(constB139)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(34003,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB139, bitIndex1)) | (~v172(constB139))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[34002, 34001])).
% 136.63/87.33 tff(34004,plain,
% 136.63/87.33 (~v172(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34003, 2289, 33970])).
% 136.63/87.33 tff(34005,plain,
% 136.63/87.33 ((~v109(constB139)) | v110(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33902, 2871, 34004])).
% 136.63/87.33 tff(34006,plain,
% 136.63/87.33 (~v109(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34005, 34000])).
% 136.63/87.33 tff(34007,plain,
% 136.63/87.33 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v118(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB139, bitIndex1)) | (~v118(constB139)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(34008,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v118(constB139)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(34009,plain,
% 136.63/87.33 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB139, bitIndex1)) | (~v118(constB139))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[34008, 34007])).
% 136.63/87.33 tff(34010,plain,
% 136.63/87.33 (~v118(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34009, 2842, 33970])).
% 136.63/87.33 tff(34011,plain,
% 136.63/87.33 (v109(constB139) | (~v108(constB139))),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33796, 2856, 34010])).
% 136.63/87.33 tff(34012,plain,
% 136.63/87.33 (~v108(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34011, 34006])).
% 136.63/87.33 tff(34013,plain,
% 136.63/87.33 (v108(constB139) | (~v107(constB139))),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33792, 3195, 33486])).
% 136.63/87.33 tff(34014,plain,
% 136.63/87.33 (~v107(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34013, 34012])).
% 136.63/87.33 tff(34015,plain,
% 136.63/87.33 (~v106(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33788, 3161, 34014])).
% 136.63/87.33 tff(34016,plain,
% 136.63/87.33 (~v102(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33784, 34015])).
% 136.63/87.33 tff(34017,plain,
% 136.63/87.33 (~v104(constB140)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33776, 34016])).
% 136.63/87.33 tff(34018,plain,
% 136.63/87.33 (~v94(constB140)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33768, 34017])).
% 136.63/87.33 tff(34019,plain,
% 136.63/87.33 (v84(constB140, bitIndex1)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33707, 34018])).
% 136.63/87.33 tff(34020,plain,
% 136.63/87.33 (v84(constB141, bitIndex1)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33522, 33495])).
% 136.63/87.33 tff(34021,assumption,(~v84(constB140, bitIndex0)), introduced(assumption)).
% 136.63/87.33 tff(34022,plain,
% 136.63/87.33 (v94(constB140) | (~v84(constB139, bitIndex0))),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33696, 777, 795, 33528, 34021])).
% 136.63/87.33 tff(34023,plain,
% 136.63/87.33 (~v84(constB139, bitIndex0)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34022, 33525])).
% 136.63/87.33 tff(34024,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB139) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB139) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(34025,plain,
% 136.63/87.33 ((v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)) | v119(constB139)) <=> (v119(constB139) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(34026,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)) | v119(constB139))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB139) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2))))),
% 136.63/87.33 inference(monotonicity,[status(thm)],[34025])).
% 136.63/87.33 tff(34027,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)) | v119(constB139))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB139) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)))),
% 136.63/87.33 inference(transitivity,[status(thm)],[34026, 34024])).
% 136.63/87.33 tff(34028,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2)) | v119(constB139))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(34029,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB139) | v84(constB139, bitIndex0) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex2))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[34028, 34027])).
% 136.63/87.33 tff(34030,plain,
% 136.63/87.33 (v119(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34029, 1910, 33602, 33679, 34023])).
% 136.63/87.33 tff(34031,plain,
% 136.63/87.33 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB139) | (~v119(constB139)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB139) | (~v119(constB139)))),
% 136.63/87.33 inference(rewrite,[status(thm)],[])).
% 136.63/87.33 tff(34032,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB139) | (~v119(constB139)))),
% 136.63/87.33 inference(quant_inst,[status(thm)],[])).
% 136.63/87.33 tff(34033,plain,
% 136.63/87.33 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB139) | (~v119(constB139))),
% 136.63/87.33 inference(modus_ponens,[status(thm)],[34032, 34031])).
% 136.63/87.33 tff(34034,plain,
% 136.63/87.33 (v107(constB139)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34033, 1927, 34030])).
% 136.63/87.33 tff(34035,plain,
% 136.63/87.33 ($false),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[33575, 644, 33563, 33568, 34034])).
% 136.63/87.33 tff(34036,plain,(v94(constB140) | v84(constB140, bitIndex0) | (~v84(constB140, bitIndex2)) | (~v84(constB140, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.33 tff(34037,plain,
% 136.63/87.33 (v84(constB140, bitIndex0)),
% 136.63/87.33 inference(unit_resolution,[status(thm)],[34036, 33525, 33495, 33663])).
% 136.63/87.33 tff(34038,assumption,(~v84(constB141, bitIndex0)), introduced(assumption)).
% 136.63/87.33 tff(34039,plain,
% 136.63/87.33 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34040,plain,
% 136.63/87.34 (((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB140, bitIndex0))) <=> ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34041,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB140, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0)))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34040])).
% 136.63/87.34 tff(34042,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB140, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34041, 34039])).
% 136.63/87.34 tff(34043,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB140, bitIndex0)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34044,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB140, bitIndex0)) | v84(constB141, bitIndex0)),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34043, 34042])).
% 136.63/87.34 tff(34045,plain,
% 136.63/87.34 ($false),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34044, 777, 795, 33502, 33514, 34038, 33669])).
% 136.63/87.34 tff(34046,plain,(v84(constB141, bitIndex0) | (~v84(constB140, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.34 tff(34047,plain,
% 136.63/87.34 (v84(constB141, bitIndex0)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34046, 34037])).
% 136.63/87.34 tff(34048,plain,
% 136.63/87.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB141, bitIndex0)) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB141, bitIndex0)) | (~v115(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34049,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB141, bitIndex0)) | (~v115(constB141)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34050,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB141, bitIndex0)) | (~v115(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34049, 34048])).
% 136.63/87.34 tff(34051,plain,
% 136.63/87.34 (~v115(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34050, 3011, 34047])).
% 136.63/87.34 tff(34052,plain,
% 136.63/87.34 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB141)) | (~v84(constB141, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB141)) | (~v84(constB141, bitIndex1)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34053,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB141)) | (~v84(constB141, bitIndex1)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34054,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB141)) | (~v84(constB141, bitIndex1))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34053, 34052])).
% 136.63/87.34 tff(34055,plain,
% 136.63/87.34 (~v113(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34054, 1465, 34020])).
% 136.63/87.34 tff(34056,assumption,(~v145(constB141)), introduced(assumption)).
% 136.63/87.34 tff(34057,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB141) | v113(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB141) | v113(constB141) | (~v112(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34058,plain,
% 136.63/87.34 ((v113(constB141) | (~v112(constB141)) | v145(constB141)) <=> (v145(constB141) | v113(constB141) | (~v112(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34059,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB141) | (~v112(constB141)) | v145(constB141))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB141) | v113(constB141) | (~v112(constB141))))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34058])).
% 136.63/87.34 tff(34060,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB141) | (~v112(constB141)) | v145(constB141))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB141) | v113(constB141) | (~v112(constB141)))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34059, 34057])).
% 136.63/87.34 tff(34061,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB141) | (~v112(constB141)) | v145(constB141))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34062,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB141) | v113(constB141) | (~v112(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34061, 34060])).
% 136.63/87.34 tff(34063,plain,
% 136.63/87.34 (v113(constB141) | (~v112(constB141))),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34062, 2894, 34056])).
% 136.63/87.34 tff(34064,plain,
% 136.63/87.34 (~v112(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34063, 34055])).
% 136.63/87.34 tff(34065,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB141) | v115(constB141) | (~v111(constB141)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB141) | v115(constB141) | (~v111(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34066,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB141) | v115(constB141) | (~v111(constB141)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34067,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB141) | v115(constB141) | (~v111(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34066, 34065])).
% 136.63/87.34 tff(34068,plain,
% 136.63/87.34 (v115(constB141) | (~v111(constB141))),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34067, 2911, 34064])).
% 136.63/87.34 tff(34069,plain,
% 136.63/87.34 (~v111(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34068, 34051])).
% 136.63/87.34 tff(34070,plain,
% 136.63/87.34 (v84(constB141, bitIndex2)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[33762, 33663])).
% 136.63/87.34 tff(34071,plain,
% 136.63/87.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v116(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB141, bitIndex2)) | (~v116(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34072,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v116(constB141)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34073,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB141, bitIndex2)) | (~v116(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34072, 34071])).
% 136.63/87.34 tff(34074,plain,
% 136.63/87.34 (~v116(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34073, 1130, 34070])).
% 136.63/87.34 tff(34075,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB141) | v116(constB141) | (~v110(constB141)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB141) | v116(constB141) | (~v110(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34076,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB141) | v116(constB141) | (~v110(constB141)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34077,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB141) | v116(constB141) | (~v110(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34076, 34075])).
% 136.63/87.34 tff(34078,plain,
% 136.63/87.34 (~v110(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34077, 2932, 34074, 34069])).
% 136.63/87.34 tff(34079,plain,
% 136.63/87.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v172(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB141, bitIndex1)) | (~v172(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34080,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v172(constB141)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34081,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB141, bitIndex1)) | (~v172(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34080, 34079])).
% 136.63/87.34 tff(34082,plain,
% 136.63/87.34 (~v172(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34081, 2289, 34020])).
% 136.63/87.34 tff(34083,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB141)) | v172(constB141) | v110(constB141))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB141)) | v172(constB141) | v110(constB141))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34084,plain,
% 136.63/87.34 ((v110(constB141) | (~v109(constB141)) | v172(constB141)) <=> ((~v109(constB141)) | v172(constB141) | v110(constB141))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34085,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB141) | (~v109(constB141)) | v172(constB141))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB141)) | v172(constB141) | v110(constB141)))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34084])).
% 136.63/87.34 tff(34086,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB141) | (~v109(constB141)) | v172(constB141))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB141)) | v172(constB141) | v110(constB141))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34085, 34083])).
% 136.63/87.34 tff(34087,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB141) | (~v109(constB141)) | v172(constB141))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34088,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB141)) | v172(constB141) | v110(constB141)),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34087, 34086])).
% 136.63/87.34 tff(34089,plain,
% 136.63/87.34 ((~v109(constB141)) | v110(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34088, 2871, 34082])).
% 136.63/87.34 tff(34090,plain,
% 136.63/87.34 (~v109(constB141)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34089, 34078])).
% 136.63/87.34 tff(34091,assumption,(v118(constB141)), introduced(assumption)).
% 136.63/87.34 tff(34092,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB141, bitIndex2) | (~v118(constB141)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB141, bitIndex2) | (~v118(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34093,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB141, bitIndex2) | (~v118(constB141)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34094,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB141, bitIndex2) | (~v118(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34093, 34092])).
% 136.63/87.34 tff(34095,plain,
% 136.63/87.34 (v84(constB141, bitIndex2)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34094, 5252, 34091])).
% 136.63/87.34 tff(34096,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34097,plain,
% 136.63/87.34 (((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB140, bitIndex2)) <=> ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34098,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB140, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2))))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34097])).
% 136.63/87.34 tff(34099,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB140, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2)))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34098, 34096])).
% 136.63/87.34 tff(34100,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB140, bitIndex2))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34101,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex2)) | v84(constB140, bitIndex2) | (~v84(constB141, bitIndex2))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34100, 34099])).
% 136.63/87.34 tff(34102,plain,
% 136.63/87.34 (v84(constB140, bitIndex2)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34101, 805, 767, 33502, 33514, 34095])).
% 136.63/87.34 tff(34103,plain,
% 136.63/87.34 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v118(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB141, bitIndex1)) | (~v118(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34104,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB141, bitIndex1)) | (~v118(constB141)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34105,plain,
% 136.63/87.34 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB141, bitIndex1)) | (~v118(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34104, 34103])).
% 136.63/87.34 tff(34106,plain,
% 136.63/87.34 (~v84(constB141, bitIndex1)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34105, 2842, 34091])).
% 136.63/87.34 tff(34107,plain,
% 136.63/87.34 (~v84(constB140, bitIndex1)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[33520, 777, 823, 33502, 33514, 34106])).
% 136.63/87.34 tff(34108,plain,
% 136.63/87.34 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB141, bitIndex0) | (~v118(constB141)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB141, bitIndex0) | (~v118(constB141)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34109,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB141, bitIndex0) | (~v118(constB141)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34110,plain,
% 136.63/87.34 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB141, bitIndex0) | (~v118(constB141))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34109, 34108])).
% 136.63/87.34 tff(34111,plain,
% 136.63/87.34 (v84(constB141, bitIndex0)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34110, 2642, 34091])).
% 136.63/87.34 tff(34112,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB141, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB141, bitIndex0)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34113,plain,
% 136.63/87.34 (((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB140, bitIndex0)) <=> ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB141, bitIndex0)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34114,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB140, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB141, bitIndex0))))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34113])).
% 136.63/87.34 tff(34115,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB140, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB141, bitIndex0)))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34114, 34112])).
% 136.63/87.34 tff(34116,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB140, bitIndex0))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34117,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v84(constB141, bitIndex0))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34116, 34115])).
% 136.63/87.34 tff(34118,plain,
% 136.63/87.34 (v84(constB140, bitIndex0)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34117, 805, 795, 33502, 33514, 34111])).
% 136.63/87.34 tff(34119,plain,
% 136.63/87.34 (v94(constB140)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[33692, 34118, 34107, 34102])).
% 136.63/87.34 tff(34120,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB140)) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB140)) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34121,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB140)) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34122,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB140)) | (~v84(constB140, bitIndex2)) | v123(constB140, bitIndex2)),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34121, 34120])).
% 136.63/87.34 tff(34123,plain,
% 136.63/87.34 ((~v94(constB140)) | v123(constB140, bitIndex2)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34122, 1344, 767, 34102])).
% 136.63/87.34 tff(34124,plain,
% 136.63/87.34 (v123(constB140, bitIndex2)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34123, 34119])).
% 136.63/87.34 tff(34125,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex2)) | (~v123(constB140, bitIndex2)) | v121(constB139, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex2)) | (~v123(constB140, bitIndex2)) | v121(constB139, bitIndex2))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34126,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex2)) | (~v123(constB140, bitIndex2)) | v121(constB139, bitIndex2))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34127,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex2)) | (~v123(constB140, bitIndex2)) | v121(constB139, bitIndex2)),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34126, 34125])).
% 136.63/87.34 tff(34128,plain,
% 136.63/87.34 (v121(constB139, bitIndex2)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34127, 1362, 767, 33528, 34124])).
% 136.63/87.34 tff(34129,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB139)) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB139)) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34130,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB139)) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34131,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB139)) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34130, 34129])).
% 136.63/87.34 tff(34132,plain,
% 136.63/87.34 (~v26(constB139)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34131, 1398, 767, 34128])).
% 136.63/87.34 tff(34133,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)) | v124(constB139, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34134,plain,
% 136.63/87.34 ((v26(constB139) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2))) <=> (v26(constB139) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34135,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)) | v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34134])).
% 136.63/87.34 tff(34136,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)) | v124(constB139, bitIndex2))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34135, 34133])).
% 136.63/87.34 tff(34137,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~v121(constB139, bitIndex2)))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34138,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex2)) | (~v121(constB139, bitIndex2)) | v124(constB139, bitIndex2)),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34137, 34136])).
% 136.63/87.34 tff(34139,plain,
% 136.63/87.34 (v124(constB139, bitIndex2)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34138, 1380, 767, 34132, 34128])).
% 136.63/87.34 tff(34140,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB139)) | (~v124(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34141,plain,
% 136.63/87.34 (((~v115(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34142,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB139)) | (~v124(constB139, bitIndex2))))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34141])).
% 136.63/87.34 tff(34143,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34142, 34140])).
% 136.63/87.34 tff(34144,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b011(bitIndex2))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34145,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB139)) | (~v124(constB139, bitIndex2))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34144, 34143])).
% 136.63/87.34 tff(34146,plain,
% 136.63/87.34 (~v115(constB139)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34145, 2030, 2257, 767, 34139])).
% 136.63/87.34 tff(34147,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB140)) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB140)) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34148,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB140)) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34149,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB140)) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0)),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34148, 34147])).
% 136.63/87.34 tff(34150,plain,
% 136.63/87.34 ((~v94(constB140)) | v123(constB140, bitIndex0)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34149, 1344, 795, 34118])).
% 136.63/87.34 tff(34151,plain,
% 136.63/87.34 (v123(constB140, bitIndex0)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34150, 34119])).
% 136.63/87.34 tff(34152,plain,
% 136.63/87.34 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex0)) | (~v123(constB140, bitIndex0)) | v121(constB139, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex0)) | (~v123(constB140, bitIndex0)) | v121(constB139, bitIndex0))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34153,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex0)) | (~v123(constB140, bitIndex0)) | v121(constB139, bitIndex0))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34154,plain,
% 136.63/87.34 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex0)) | (~v123(constB140, bitIndex0)) | v121(constB139, bitIndex0)),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34153, 34152])).
% 136.63/87.34 tff(34155,plain,
% 136.63/87.34 (v121(constB139, bitIndex0)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34154, 1362, 795, 33528, 34151])).
% 136.63/87.34 tff(34156,plain,
% 136.63/87.34 (v124(constB139, bitIndex0)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[33888, 1380, 795, 34132, 34155])).
% 136.63/87.34 tff(34157,plain,
% 136.63/87.34 (~v116(constB139)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[33909, 2386, 2164, 795, 34156])).
% 136.63/87.34 tff(34158,plain,
% 136.63/87.34 (~v172(constB139)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[33895, 1997, 1994, 795, 34156])).
% 136.63/87.34 tff(34159,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB139)) | (~v124(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34160,plain,
% 136.63/87.34 (((~v118(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34161,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB139)) | (~v124(constB139, bitIndex2))))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34160])).
% 136.63/87.34 tff(34162,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34161, 34159])).
% 136.63/87.34 tff(34163,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b011(bitIndex2))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34164,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB139)) | (~v124(constB139, bitIndex2))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34163, 34162])).
% 136.63/87.34 tff(34165,plain,
% 136.63/87.34 (~v118(constB139)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34164, 2030, 2027, 767, 34139])).
% 136.63/87.34 tff(34166,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB139)) | (~v124(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34167,plain,
% 136.63/87.34 (((~v145(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b010(bitIndex2)) <=> (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(rewrite,[status(thm)],[])).
% 136.63/87.34 tff(34168,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB139)) | (~v124(constB139, bitIndex2))))),
% 136.63/87.34 inference(monotonicity,[status(thm)],[34167])).
% 136.63/87.34 tff(34169,plain,
% 136.63/87.34 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b010(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB139)) | (~v124(constB139, bitIndex2)))),
% 136.63/87.34 inference(transitivity,[status(thm)],[34168, 34166])).
% 136.63/87.34 tff(34170,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB139)) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b010(bitIndex2))),
% 136.63/87.34 inference(quant_inst,[status(thm)],[])).
% 136.63/87.34 tff(34171,plain,
% 136.63/87.34 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex2) | (~less_3(bitIndex2)) | (~v145(constB139)) | (~v124(constB139, bitIndex2))),
% 136.63/87.34 inference(modus_ponens,[status(thm)],[34170, 34169])).
% 136.63/87.34 tff(34172,plain,
% 136.63/87.34 (~v145(constB139)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[34171, 1419, 1416, 767, 34139])).
% 136.63/87.34 tff(34173,plain,
% 136.63/87.34 (~v113(constB139)),
% 136.63/87.34 inference(unit_resolution,[status(thm)],[33920, 2386, 2186, 795, 34156])).
% 136.63/87.35 tff(34174,plain,
% 136.63/87.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex2)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34175,plain,
% 136.63/87.35 ((v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex2)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34176,plain,
% 136.63/87.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex2))))),
% 136.63/87.35 inference(monotonicity,[status(thm)],[34175])).
% 136.63/87.35 tff(34177,plain,
% 136.63/87.35 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex2)))),
% 136.63/87.35 inference(transitivity,[status(thm)],[34176, 34174])).
% 136.63/87.35 tff(34178,plain,
% 136.63/87.35 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex2)) | (~v124(constB139, bitIndex2)) | b001(bitIndex2))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34179,plain,
% 136.63/87.35 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex2))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34178, 34177])).
% 136.63/87.35 tff(34180,plain,
% 136.63/87.35 (v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34179, 2427, 2424, 767, 34139])).
% 136.63/87.35 tff(34181,plain,
% 136.63/87.35 ($false),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34180, 34173, 34172, 34165, 34158, 34157, 34146])).
% 136.63/87.35 tff(34182,plain,(~v118(constB141)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.35 tff(34183,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB141) | v118(constB141) | (~v108(constB141)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB141) | v118(constB141) | (~v108(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34184,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB141) | v118(constB141) | (~v108(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34185,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB141) | v118(constB141) | (~v108(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34184, 34183])).
% 136.63/87.35 tff(34186,plain,
% 136.63/87.35 (v109(constB141) | (~v108(constB141))),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34185, 2856, 34182])).
% 136.63/87.35 tff(34187,plain,
% 136.63/87.35 (~v108(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34186, 34090])).
% 136.63/87.35 tff(34188,plain,
% 136.63/87.35 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB141, bitIndex0)) | (~v119(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB141, bitIndex0)) | (~v119(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34189,plain,
% 136.63/87.35 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB141, bitIndex0)) | (~v119(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34190,plain,
% 136.63/87.35 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB141, bitIndex0)) | (~v119(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34189, 34188])).
% 136.63/87.35 tff(34191,plain,
% 136.63/87.35 (~v119(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34190, 3173, 34047])).
% 136.63/87.35 tff(34192,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB141) | v119(constB141) | (~v107(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB141) | v119(constB141) | (~v107(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34193,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB141) | v119(constB141) | (~v107(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34194,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB141) | v119(constB141) | (~v107(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34193, 34192])).
% 136.63/87.35 tff(34195,plain,
% 136.63/87.35 (v108(constB141) | (~v107(constB141))),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34194, 3195, 34191])).
% 136.63/87.35 tff(34196,plain,
% 136.63/87.35 (~v107(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34195, 34187])).
% 136.63/87.35 tff(34197,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB141) | (~v106(constB141)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB141) | (~v106(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34198,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB141) | (~v106(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34199,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB141) | (~v106(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34198, 34197])).
% 136.63/87.35 tff(34200,plain,
% 136.63/87.35 (~v106(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34199, 3161, 34196])).
% 136.63/87.35 tff(34201,assumption,(v26(constB141)), introduced(assumption)).
% 136.63/87.35 tff(34202,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34203,plain,
% 136.63/87.35 ($false),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34202, 1172, 34201])).
% 136.63/87.35 tff(34204,plain,(~v26(constB141)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.35 tff(34205,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB141)) | v26(constB141) | v106(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB141)) | v26(constB141) | v106(constB141))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34206,plain,
% 136.63/87.35 ((v26(constB141) | v106(constB141) | (~v102(constB141))) <=> ((~v102(constB141)) | v26(constB141) | v106(constB141))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34207,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB141) | v106(constB141) | (~v102(constB141)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB141)) | v26(constB141) | v106(constB141)))),
% 136.63/87.35 inference(monotonicity,[status(thm)],[34206])).
% 136.63/87.35 tff(34208,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB141) | v106(constB141) | (~v102(constB141)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB141)) | v26(constB141) | v106(constB141))),
% 136.63/87.35 inference(transitivity,[status(thm)],[34207, 34205])).
% 136.63/87.35 tff(34209,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB141) | v106(constB141) | (~v102(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34210,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB141)) | v26(constB141) | v106(constB141)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34209, 34208])).
% 136.63/87.35 tff(34211,plain,
% 136.63/87.35 ((~v102(constB141)) | v106(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34210, 3146, 34204])).
% 136.63/87.35 tff(34212,plain,
% 136.63/87.35 (~v102(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34211, 34200])).
% 136.63/87.35 tff(34213,plain,
% 136.63/87.35 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34214,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_141_1')).
% 136.63/87.35 tff(34215,plain,
% 136.63/87.35 (nextState(constB141, constB142)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34214, 34213])).
% 136.63/87.35 tff(34216,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB141, constB142)) | (~v104(constB142)) | v102(constB141))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB141, constB142)) | (~v104(constB142)) | v102(constB141))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34217,plain,
% 136.63/87.35 (((~nextState(constB141, constB142)) | v102(constB141) | (~v104(constB142))) <=> ((~nextState(constB141, constB142)) | (~v104(constB142)) | v102(constB141))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34218,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB141, constB142)) | v102(constB141) | (~v104(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB141, constB142)) | (~v104(constB142)) | v102(constB141)))),
% 136.63/87.35 inference(monotonicity,[status(thm)],[34217])).
% 136.63/87.35 tff(34219,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB141, constB142)) | v102(constB141) | (~v104(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB141, constB142)) | (~v104(constB142)) | v102(constB141))),
% 136.63/87.35 inference(transitivity,[status(thm)],[34218, 34216])).
% 136.63/87.35 tff(34220,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB141, constB142)) | v102(constB141) | (~v104(constB142)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34221,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB141, constB142)) | (~v104(constB142)) | v102(constB141)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34220, 34219])).
% 136.63/87.35 tff(34222,plain,
% 136.63/87.35 ((~v104(constB142)) | v102(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34221, 3128, 34215])).
% 136.63/87.35 tff(34223,plain,
% 136.63/87.35 (~v104(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34222, 34212])).
% 136.63/87.35 tff(34224,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v94(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v94(constB142)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34225,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v94(constB142)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34226,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v94(constB142))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34225, 34224])).
% 136.63/87.35 tff(34227,plain,
% 136.63/87.35 (v104(constB142) | (~v94(constB142))),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34226, 3113, 34215])).
% 136.63/87.35 tff(34228,plain,
% 136.63/87.35 (~v94(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34227, 34223])).
% 136.63/87.35 tff(34229,assumption,(v84(constB141, bitIndex1)), introduced(assumption)).
% 136.63/87.35 tff(34230,assumption,(~v84(constB142, bitIndex1)), introduced(assumption)).
% 136.63/87.35 tff(34231,assumption,(~v94(constB142)), introduced(assumption)).
% 136.63/87.35 tff(34232,plain,
% 136.63/87.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB142, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB142, bitIndex1))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34233,plain,
% 136.63/87.35 (((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB142, bitIndex1) | (~v84(constB141, bitIndex1))) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB142, bitIndex1))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34234,plain,
% 136.63/87.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB142, bitIndex1) | (~v84(constB141, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB142, bitIndex1)))),
% 136.63/87.35 inference(monotonicity,[status(thm)],[34233])).
% 136.63/87.35 tff(34235,plain,
% 136.63/87.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB142, bitIndex1) | (~v84(constB141, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB142, bitIndex1))),
% 136.63/87.35 inference(transitivity,[status(thm)],[34234, 34232])).
% 136.63/87.35 tff(34236,plain,
% 136.63/87.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB142, bitIndex1) | (~v84(constB141, bitIndex1)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34237,plain,
% 136.63/87.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB142, bitIndex1)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34236, 34235])).
% 136.63/87.35 tff(34238,plain,
% 136.63/87.35 ($false),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34237, 777, 823, 34215, 34231, 34230, 34229])).
% 136.63/87.35 tff(34239,plain,(v84(constB142, bitIndex1) | v94(constB142) | (~v84(constB141, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.35 tff(34240,plain,
% 136.63/87.35 (v84(constB142, bitIndex1)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34239, 34228, 34020])).
% 136.63/87.35 tff(34241,assumption,(~v84(constB143, bitIndex1)), introduced(assumption)).
% 136.63/87.35 tff(34242,assumption,(v84(constB142, bitIndex1)), introduced(assumption)).
% 136.63/87.35 tff(34243,plain,
% 136.63/87.35 ((~v1(constB143)) <=> (~v1(constB143))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34244,axiom,(~v1(constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_143_1_1')).
% 136.63/87.35 tff(34245,plain,
% 136.63/87.35 (~v1(constB143)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34244, 34243])).
% 136.63/87.35 tff(34246,plain,
% 136.63/87.35 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34247,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_142_1')).
% 136.63/87.35 tff(34248,plain,
% 136.63/87.35 (nextState(constB142, constB143)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34247, 34246])).
% 136.63/87.35 tff(34249,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34250,plain,
% 136.63/87.35 (((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143)) <=> (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34251,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))))),
% 136.63/87.35 inference(monotonicity,[status(thm)],[34250])).
% 136.63/87.35 tff(34252,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143)))),
% 136.63/87.35 inference(transitivity,[status(thm)],[34251, 34249])).
% 136.63/87.35 tff(34253,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB142, constB143)) | (~v95(constB143)) | v1(constB143))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34254,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB143) | (~nextState(constB142, constB143)) | (~v95(constB143))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34253, 34252])).
% 136.63/87.35 tff(34255,plain,
% 136.63/87.35 (~v95(constB143)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34254, 742, 34248, 34245])).
% 136.63/87.35 tff(34256,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34257,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34258,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB142, constB143)) | v95(constB143) | (~v94(constB143))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34257, 34256])).
% 136.63/87.35 tff(34259,plain,
% 136.63/87.35 (v95(constB143) | (~v94(constB143))),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34258, 759, 34248])).
% 136.63/87.35 tff(34260,plain,
% 136.63/87.35 (~v94(constB143)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34259, 34255])).
% 136.63/87.35 tff(34261,plain,
% 136.63/87.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB142, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB142, bitIndex1)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34262,plain,
% 136.63/87.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB142, bitIndex1)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34263,plain,
% 136.63/87.35 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB142, bitIndex1))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34262, 34261])).
% 136.63/87.35 tff(34264,plain,
% 136.63/87.35 ($false),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34263, 777, 823, 34248, 34260, 34242, 34241])).
% 136.63/87.35 tff(34265,plain,(v84(constB143, bitIndex1) | (~v84(constB142, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.35 tff(34266,plain,
% 136.63/87.35 (v84(constB143, bitIndex1)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34265, 34240])).
% 136.63/87.35 tff(34267,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34268,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34269,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB141) | (~nextState(constB141, constB142)) | (~v98(constB142))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34268, 34267])).
% 136.63/87.35 tff(34270,plain,
% 136.63/87.35 (~v98(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34269, 541, 34215, 33499])).
% 136.63/87.35 tff(34271,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34272,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB141, constB142)) | v96(constB142) | v98(constB142))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34273,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB141, constB142)) | v96(constB142) | v98(constB142)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34272, 34271])).
% 136.63/87.35 tff(34274,plain,
% 136.63/87.35 (v96(constB142) | v98(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34273, 555, 34215])).
% 136.63/87.35 tff(34275,plain,
% 136.63/87.35 (v96(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34274, 34270])).
% 136.63/87.35 tff(34276,plain,
% 136.63/87.35 (v1(constB142) <=> v1(constB142)),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34277,axiom,(v1(constB142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_142_1')).
% 136.63/87.35 tff(34278,plain,
% 136.63/87.35 (v1(constB142)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34277, 34276])).
% 136.63/87.35 tff(34279,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34280,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34281,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB141, constB142)) | v95(constB142) | (~v96(constB142)) | (~v1(constB142))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34280, 34279])).
% 136.63/87.35 tff(34282,plain,
% 136.63/87.35 (v95(constB142) | (~v96(constB142))),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34281, 573, 34215, 34278])).
% 136.63/87.35 tff(34283,plain,
% 136.63/87.35 (v95(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34282, 34275])).
% 136.63/87.35 tff(34284,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34285,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34286,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB141, constB142)) | (~v95(constB142)) | (~v104(constB142)) | v94(constB142)),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34285, 34284])).
% 136.63/87.35 tff(34287,plain,
% 136.63/87.35 ((~v95(constB142)) | (~v104(constB142)) | v94(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34286, 588, 34215])).
% 136.63/87.35 tff(34288,plain,
% 136.63/87.35 ((~v104(constB142)) | v94(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34287, 34283])).
% 136.63/87.35 tff(34289,plain,
% 136.63/87.35 (~v104(constB142)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34288, 34231])).
% 136.63/87.35 tff(34290,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34291,plain,
% 136.63/87.35 (((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142)) <=> ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34292,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))))),
% 136.63/87.35 inference(monotonicity,[status(thm)],[34291])).
% 136.63/87.35 tff(34293,plain,
% 136.63/87.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141)))),
% 136.63/87.35 inference(transitivity,[status(thm)],[34292, 34290])).
% 136.63/87.35 tff(34294,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB141, constB142)) | (~v102(constB141)) | v104(constB142))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34295,plain,
% 136.63/87.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB141, constB142)) | v104(constB142) | (~v102(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34294, 34293])).
% 136.63/87.35 tff(34296,plain,
% 136.63/87.35 (v104(constB142) | (~v102(constB141))),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34295, 604, 34215])).
% 136.63/87.35 tff(34297,plain,
% 136.63/87.35 (~v102(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34296, 34289])).
% 136.63/87.35 tff(34298,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB141) | (~v106(constB141)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB141) | (~v106(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34299,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB141) | (~v106(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34300,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB141) | (~v106(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34299, 34298])).
% 136.63/87.35 tff(34301,plain,
% 136.63/87.35 (~v106(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34300, 619, 34297])).
% 136.63/87.35 tff(34302,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | v106(constB141) | (~v107(constB141)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | v106(constB141) | (~v107(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34303,plain,
% 136.63/87.35 ((v26(constB141) | (~v107(constB141)) | v106(constB141)) <=> (v26(constB141) | v106(constB141) | (~v107(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34304,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | v106(constB141) | (~v107(constB141))))),
% 136.63/87.35 inference(monotonicity,[status(thm)],[34303])).
% 136.63/87.35 tff(34305,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | v106(constB141) | (~v107(constB141)))),
% 136.63/87.35 inference(transitivity,[status(thm)],[34304, 34302])).
% 136.63/87.35 tff(34306,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB141) | (~v107(constB141)) | v106(constB141))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34307,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB141) | v106(constB141) | (~v107(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34306, 34305])).
% 136.63/87.35 tff(34308,plain,
% 136.63/87.35 (v106(constB141) | (~v107(constB141))),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34307, 644, 34204])).
% 136.63/87.35 tff(34309,plain,
% 136.63/87.35 (~v107(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34308, 34301])).
% 136.63/87.35 tff(34310,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB141) | (~v108(constB141)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB141) | (~v108(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34311,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB141) | (~v108(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34312,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB141) | (~v108(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34311, 34310])).
% 136.63/87.35 tff(34313,plain,
% 136.63/87.35 (~v108(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34312, 658, 34309])).
% 136.63/87.35 tff(34314,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB141) | (~v109(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB141) | (~v109(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34315,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB141) | (~v109(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34316,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB141) | (~v109(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34315, 34314])).
% 136.63/87.35 tff(34317,plain,
% 136.63/87.35 (~v109(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34316, 669, 34313])).
% 136.63/87.35 tff(34318,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB141) | (~v110(constB141)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB141) | (~v110(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34319,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB141) | (~v110(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34320,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB141) | (~v110(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34319, 34318])).
% 136.63/87.35 tff(34321,plain,
% 136.63/87.35 (~v110(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34320, 680, 34317])).
% 136.63/87.35 tff(34322,plain,
% 136.63/87.35 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB141) | (~v116(constB141)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB141) | (~v116(constB141)))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34323,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB141) | (~v116(constB141)))),
% 136.63/87.35 inference(quant_inst,[status(thm)],[])).
% 136.63/87.35 tff(34324,plain,
% 136.63/87.35 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB141) | (~v116(constB141))),
% 136.63/87.35 inference(modus_ponens,[status(thm)],[34323, 34322])).
% 136.63/87.35 tff(34325,plain,
% 136.63/87.35 (~v116(constB141)),
% 136.63/87.35 inference(unit_resolution,[status(thm)],[34324, 934, 34321])).
% 136.63/87.35 tff(34326,assumption,(~v84(constB142, bitIndex2)), introduced(assumption)).
% 136.63/87.35 tff(34327,assumption,(v84(constB141, bitIndex2)), introduced(assumption)).
% 136.63/87.35 tff(34328,plain,
% 136.63/87.35 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB142, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB142, bitIndex2))),
% 136.63/87.35 inference(rewrite,[status(thm)],[])).
% 136.63/87.35 tff(34329,plain,
% 136.63/87.35 (((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB142, bitIndex2) | (~v84(constB141, bitIndex2))) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB142, bitIndex2))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34330,plain,
% 136.63/87.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB142, bitIndex2) | (~v84(constB141, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB142, bitIndex2)))),
% 136.63/87.36 inference(monotonicity,[status(thm)],[34329])).
% 136.63/87.36 tff(34331,plain,
% 136.63/87.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB142, bitIndex2) | (~v84(constB141, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB142, bitIndex2))),
% 136.63/87.36 inference(transitivity,[status(thm)],[34330, 34328])).
% 136.63/87.36 tff(34332,plain,
% 136.63/87.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB142, bitIndex2) | (~v84(constB141, bitIndex2)))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34333,plain,
% 136.63/87.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB141, bitIndex2)) | v84(constB142, bitIndex2)),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34332, 34331])).
% 136.63/87.36 tff(34334,plain,
% 136.63/87.36 ($false),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34333, 777, 767, 34215, 34231, 34326, 34327])).
% 136.63/87.36 tff(34335,plain,(v84(constB142, bitIndex2) | v94(constB142) | (~v84(constB141, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.63/87.36 tff(34336,plain,
% 136.63/87.36 (~v84(constB141, bitIndex2)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34335, 34231, 34326])).
% 136.63/87.36 tff(34337,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB141) | (~v111(constB141)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB141) | (~v111(constB141)))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34338,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB141) | (~v111(constB141)))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34339,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB141) | (~v111(constB141))),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34338, 34337])).
% 136.63/87.36 tff(34340,plain,
% 136.63/87.36 (~v111(constB141)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34339, 691, 34321])).
% 136.63/87.36 tff(34341,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB141) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB141) | (~v115(constB141)))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34342,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB141) | (~v115(constB141)))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34343,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB141) | (~v115(constB141))),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34342, 34341])).
% 136.63/87.36 tff(34344,plain,
% 136.63/87.36 (~v115(constB141)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34343, 945, 34340])).
% 136.63/87.36 tff(34345,assumption,(~v116(constB141)), introduced(assumption)).
% 136.63/87.36 tff(34346,plain,
% 136.63/87.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v116(constB141))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v116(constB141))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34347,plain,
% 136.63/87.36 (((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141)) <=> ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v116(constB141))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34348,plain,
% 136.63/87.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v116(constB141)))),
% 136.63/87.36 inference(monotonicity,[status(thm)],[34347])).
% 136.63/87.36 tff(34349,plain,
% 136.63/87.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v116(constB141))),
% 136.63/87.36 inference(transitivity,[status(thm)],[34348, 34346])).
% 136.63/87.36 tff(34350,plain,
% 136.63/87.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB141, bitIndex0)) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v116(constB141))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34351,plain,
% 136.63/87.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v116(constB141)),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34350, 34349])).
% 136.63/87.36 tff(34352,plain,
% 136.63/87.36 ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1))),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34351, 1076, 34345])).
% 136.63/87.36 tff(34353,plain,
% 136.63/87.36 (~v84(constB141, bitIndex0)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34352, 33754, 34229])).
% 136.63/87.36 tff(34354,assumption,(~v115(constB141)), introduced(assumption)).
% 136.63/87.36 tff(34355,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v115(constB141))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v115(constB141))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34356,plain,
% 136.63/87.36 ((v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v115(constB141)) <=> (v84(constB141, bitIndex0) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v115(constB141))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34357,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v115(constB141))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v115(constB141)))),
% 136.63/87.36 inference(monotonicity,[status(thm)],[34356])).
% 136.63/87.36 tff(34358,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v115(constB141))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v115(constB141))),
% 136.63/87.36 inference(transitivity,[status(thm)],[34357, 34355])).
% 136.63/87.36 tff(34359,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | v84(constB141, bitIndex2) | v115(constB141))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34360,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v115(constB141)),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34359, 34358])).
% 136.63/87.36 tff(34361,plain,
% 136.63/87.36 (v84(constB141, bitIndex0) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1))),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34360, 1095, 34354])).
% 136.63/87.36 tff(34362,plain,
% 136.63/87.36 ($false),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34361, 34353, 33754, 34229])).
% 136.63/87.36 tff(34363,plain,(v84(constB141, bitIndex2) | (~v84(constB141, bitIndex1)) | v115(constB141) | v116(constB141)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.36 tff(34364,plain,
% 136.63/87.36 (~v84(constB141, bitIndex1)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34363, 34344, 34336, 34325])).
% 136.63/87.36 tff(34365,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB141, bitIndex2) | (~v172(constB141)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB141, bitIndex2) | (~v172(constB141)))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34366,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | (v84(constB141, bitIndex2) | (~v172(constB141)))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34367,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v172(VarCurr)))) | v84(constB141, bitIndex2) | (~v172(constB141))),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34366, 34365])).
% 136.63/87.36 tff(34368,plain,
% 136.63/87.36 (~v172(constB141)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34367, 5263, 34336])).
% 136.63/87.36 tff(34369,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB141) | (~v118(constB141)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB141) | (~v118(constB141)))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34370,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB141) | (~v118(constB141)))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34371,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB141) | (~v118(constB141))),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34370, 34369])).
% 136.63/87.36 tff(34372,plain,
% 136.63/87.36 (~v118(constB141)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34371, 1004, 34313])).
% 136.63/87.36 tff(34373,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB141) | (~v112(constB141)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB141) | (~v112(constB141)))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34374,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB141) | (~v112(constB141)))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34375,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB141) | (~v112(constB141))),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34374, 34373])).
% 136.63/87.36 tff(34376,plain,
% 136.63/87.36 (~v112(constB141)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34375, 702, 34340])).
% 136.63/87.36 tff(34377,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB141) | (~v145(constB141)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB141) | (~v145(constB141)))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34378,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB141) | (~v145(constB141)))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34379,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB141) | (~v145(constB141))),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34378, 34377])).
% 136.63/87.36 tff(34380,plain,
% 136.63/87.36 (~v145(constB141)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34379, 713, 34376])).
% 136.63/87.36 tff(34381,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB141) | (~v113(constB141)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB141) | (~v113(constB141)))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34382,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB141) | (~v113(constB141)))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34383,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB141) | (~v113(constB141))),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34382, 34381])).
% 136.63/87.36 tff(34384,plain,
% 136.63/87.36 (~v113(constB141)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34383, 969, 34376])).
% 136.63/87.36 tff(34385,assumption,(~v172(constB141)), introduced(assumption)).
% 136.63/87.36 tff(34386,assumption,(~v113(constB141)), introduced(assumption)).
% 136.63/87.36 tff(34387,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34388,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34389,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v172(constB141)),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34388, 34387])).
% 136.63/87.36 tff(34390,plain,
% 136.63/87.36 (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2))),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34389, 1047, 34385])).
% 136.63/87.36 tff(34391,plain,
% 136.63/87.36 (~v84(constB141, bitIndex2)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34390, 34038, 33496])).
% 136.63/87.36 tff(34392,plain,
% 136.63/87.36 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB141) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB141) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34393,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB141) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34394,plain,
% 136.63/87.36 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB141) | v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2)),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34393, 34392])).
% 136.63/87.36 tff(34395,plain,
% 136.63/87.36 (v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34394, 983, 34386])).
% 136.63/87.36 tff(34396,plain,
% 136.63/87.36 ($false),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34395, 34391, 34038, 33496])).
% 136.63/87.36 tff(34397,plain,(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | v113(constB141) | v172(constB141)), inference(lemma,lemma(discharge,[]))).
% 136.63/87.36 tff(34398,plain,
% 136.63/87.36 (v84(constB141, bitIndex0)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34397, 33496, 34386, 34385])).
% 136.63/87.36 tff(34399,assumption,(~v118(constB141)), introduced(assumption)).
% 136.63/87.36 tff(34400,plain,
% 136.63/87.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v118(constB141))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v118(constB141))),
% 136.63/87.36 inference(rewrite,[status(thm)],[])).
% 136.63/87.36 tff(34401,plain,
% 136.63/87.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v118(constB141))),
% 136.63/87.36 inference(quant_inst,[status(thm)],[])).
% 136.63/87.36 tff(34402,plain,
% 136.63/87.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)) | v118(constB141)),
% 136.63/87.36 inference(modus_ponens,[status(thm)],[34401, 34400])).
% 136.63/87.36 tff(34403,plain,
% 136.63/87.36 ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2))),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34402, 1018, 34399])).
% 136.63/87.36 tff(34404,plain,
% 136.63/87.36 (~v84(constB141, bitIndex2)),
% 136.63/87.36 inference(unit_resolution,[status(thm)],[34403, 34398, 33496])).
% 136.63/87.36 tff(34405,plain,
% 136.63/87.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB141) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB141) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34406,plain,
% 136.72/87.36 (((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v145(constB141)) <=> (v145(constB141) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34407,plain,
% 136.72/87.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v145(constB141))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB141) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2)))),
% 136.72/87.36 inference(monotonicity,[status(thm)],[34406])).
% 136.72/87.36 tff(34408,plain,
% 136.72/87.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v145(constB141))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB141) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2))),
% 136.72/87.36 inference(transitivity,[status(thm)],[34407, 34405])).
% 136.72/87.36 tff(34409,plain,
% 136.72/87.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | v145(constB141))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34410,plain,
% 136.72/87.36 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB141) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2)),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34409, 34408])).
% 136.72/87.36 tff(34411,plain,
% 136.72/87.36 ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex2)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34410, 865, 34056])).
% 136.72/87.36 tff(34412,plain,
% 136.72/87.36 ($false),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34411, 34404, 34398, 33496])).
% 136.72/87.36 tff(34413,plain,(v84(constB141, bitIndex1) | v145(constB141) | v118(constB141) | v113(constB141) | v172(constB141)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.36 tff(34414,plain,
% 136.72/87.36 ($false),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34413, 34384, 34380, 34372, 34368, 34364])).
% 136.72/87.36 tff(34415,plain,(v94(constB142) | v84(constB142, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.36 tff(34416,plain,
% 136.72/87.36 (v84(constB142, bitIndex2)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34415, 34228])).
% 136.72/87.36 tff(34417,assumption,(~v84(constB143, bitIndex2)), introduced(assumption)).
% 136.72/87.36 tff(34418,assumption,(v84(constB142, bitIndex2)), introduced(assumption)).
% 136.72/87.36 tff(34419,plain,
% 136.72/87.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex2)) | v84(constB143, bitIndex2) | (~v84(constB142, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex2)) | v84(constB143, bitIndex2) | (~v84(constB142, bitIndex2)))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34420,plain,
% 136.72/87.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex2)) | v84(constB143, bitIndex2) | (~v84(constB142, bitIndex2)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34421,plain,
% 136.72/87.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex2)) | v84(constB143, bitIndex2) | (~v84(constB142, bitIndex2))),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34420, 34419])).
% 136.72/87.36 tff(34422,plain,
% 136.72/87.36 ($false),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34421, 777, 767, 34248, 34260, 34418, 34417])).
% 136.72/87.36 tff(34423,plain,(v84(constB143, bitIndex2) | (~v84(constB142, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.36 tff(34424,plain,
% 136.72/87.36 (v84(constB143, bitIndex2)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34423, 34416])).
% 136.72/87.36 tff(34425,assumption,(~v84(constB144, bitIndex0)), introduced(assumption)).
% 136.72/87.36 tff(34426,assumption,(~v84(constB144, bitIndex1)), introduced(assumption)).
% 136.72/87.36 tff(34427,assumption,(~v94(constB144)), introduced(assumption)).
% 136.72/87.36 tff(34428,plain,
% 136.72/87.36 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34429,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_143_1')).
% 136.72/87.36 tff(34430,plain,
% 136.72/87.36 (nextState(constB143, constB144)),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34429, 34428])).
% 136.72/87.36 tff(34431,plain,
% 136.72/87.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB144, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB144, bitIndex1))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34432,plain,
% 136.72/87.36 (((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v84(constB143, bitIndex1))) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB144, bitIndex1))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34433,plain,
% 136.72/87.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v84(constB143, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB144, bitIndex1)))),
% 136.72/87.36 inference(monotonicity,[status(thm)],[34432])).
% 136.72/87.36 tff(34434,plain,
% 136.72/87.36 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v84(constB143, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB144, bitIndex1))),
% 136.72/87.36 inference(transitivity,[status(thm)],[34433, 34431])).
% 136.72/87.36 tff(34435,plain,
% 136.72/87.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v84(constB143, bitIndex1)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34436,plain,
% 136.72/87.36 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB144, bitIndex1)),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34435, 34434])).
% 136.72/87.36 tff(34437,plain,
% 136.72/87.36 (v94(constB144) | (~v84(constB143, bitIndex1))),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34436, 777, 823, 34430, 34426])).
% 136.72/87.36 tff(34438,plain,
% 136.72/87.36 (~v84(constB143, bitIndex1)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34437, 34427])).
% 136.72/87.36 tff(34439,assumption,(~v108(constB143)), introduced(assumption)).
% 136.72/87.36 tff(34440,plain,
% 136.72/87.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB143) | (~v109(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB143) | (~v109(constB143)))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34441,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB143) | (~v109(constB143)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34442,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB143) | (~v109(constB143))),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34441, 34440])).
% 136.72/87.36 tff(34443,plain,
% 136.72/87.36 (~v109(constB143)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34442, 669, 34439])).
% 136.72/87.36 tff(34444,plain,
% 136.72/87.36 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB143) | (~v172(constB143)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB143) | (~v172(constB143)))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34445,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB143) | (~v172(constB143)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34446,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB143) | (~v172(constB143))),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34445, 34444])).
% 136.72/87.36 tff(34447,plain,
% 136.72/87.36 (~v172(constB143)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34446, 1033, 34443])).
% 136.72/87.36 tff(34448,plain,
% 136.72/87.36 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB143) | (~v118(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB143) | (~v118(constB143)))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34449,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB143) | (~v118(constB143)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34450,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB143) | (~v118(constB143))),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34449, 34448])).
% 136.72/87.36 tff(34451,plain,
% 136.72/87.36 (~v118(constB143)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34450, 1004, 34439])).
% 136.72/87.36 tff(34452,plain,
% 136.72/87.36 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB143) | (~v110(constB143)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB143) | (~v110(constB143)))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34453,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB143) | (~v110(constB143)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34454,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB143) | (~v110(constB143))),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34453, 34452])).
% 136.72/87.36 tff(34455,plain,
% 136.72/87.36 (~v110(constB143)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34454, 680, 34443])).
% 136.72/87.36 tff(34456,plain,
% 136.72/87.36 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB143) | (~v111(constB143)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB143) | (~v111(constB143)))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34457,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB143) | (~v111(constB143)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34458,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB143) | (~v111(constB143))),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34457, 34456])).
% 136.72/87.36 tff(34459,plain,
% 136.72/87.36 (~v111(constB143)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34458, 691, 34455])).
% 136.72/87.36 tff(34460,plain,
% 136.72/87.36 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB143) | (~v112(constB143)))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34461,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB143) | (~v112(constB143)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34462,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB143) | (~v112(constB143))),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34461, 34460])).
% 136.72/87.36 tff(34463,plain,
% 136.72/87.36 (~v112(constB143)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34462, 702, 34459])).
% 136.72/87.36 tff(34464,plain,
% 136.72/87.36 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB143) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB143) | (~v145(constB143)))),
% 136.72/87.36 inference(rewrite,[status(thm)],[])).
% 136.72/87.36 tff(34465,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB143) | (~v145(constB143)))),
% 136.72/87.36 inference(quant_inst,[status(thm)],[])).
% 136.72/87.36 tff(34466,plain,
% 136.72/87.36 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB143) | (~v145(constB143))),
% 136.72/87.36 inference(modus_ponens,[status(thm)],[34465, 34464])).
% 136.72/87.36 tff(34467,plain,
% 136.72/87.36 (~v145(constB143)),
% 136.72/87.36 inference(unit_resolution,[status(thm)],[34466, 713, 34463])).
% 136.72/87.36 tff(34468,assumption,(v84(constB143, bitIndex0)), introduced(assumption)).
% 136.72/87.36 tff(34469,assumption,(~v118(constB143)), introduced(assumption)).
% 136.72/87.36 tff(34470,plain,
% 136.72/87.36 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34471,plain,
% 136.72/87.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34472,plain,
% 136.72/87.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v118(constB143)),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34471, 34470])).
% 136.72/87.37 tff(34473,plain,
% 136.72/87.37 ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2))),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34472, 1018, 34469])).
% 136.72/87.37 tff(34474,plain,
% 136.72/87.37 (~v84(constB143, bitIndex2)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34473, 34241, 34468])).
% 136.72/87.37 tff(34475,assumption,(~v145(constB143)), introduced(assumption)).
% 136.72/87.37 tff(34476,plain,
% 136.72/87.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB143) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | v84(constB143, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB143) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | v84(constB143, bitIndex1))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34477,plain,
% 136.72/87.37 (((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v145(constB143)) <=> (v145(constB143) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | v84(constB143, bitIndex1))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34478,plain,
% 136.72/87.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v145(constB143))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB143) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | v84(constB143, bitIndex1)))),
% 136.72/87.37 inference(monotonicity,[status(thm)],[34477])).
% 136.72/87.37 tff(34479,plain,
% 136.72/87.37 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v145(constB143))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB143) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | v84(constB143, bitIndex1))),
% 136.72/87.37 inference(transitivity,[status(thm)],[34478, 34476])).
% 136.72/87.37 tff(34480,plain,
% 136.72/87.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | v145(constB143))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34481,plain,
% 136.72/87.37 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB143) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | v84(constB143, bitIndex1)),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34480, 34479])).
% 136.72/87.37 tff(34482,plain,
% 136.72/87.37 ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | v84(constB143, bitIndex1)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34481, 865, 34475])).
% 136.72/87.37 tff(34483,plain,
% 136.72/87.37 ($false),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34482, 34474, 34241, 34468])).
% 136.72/87.37 tff(34484,plain,(v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)) | v145(constB143) | v118(constB143)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.37 tff(34485,plain,
% 136.72/87.37 (~v84(constB143, bitIndex0)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34484, 34467, 34241, 34451])).
% 136.72/87.37 tff(34486,plain,
% 136.72/87.37 (~v84(constB142, bitIndex1)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34265, 34241])).
% 136.72/87.37 tff(34487,plain,
% 136.72/87.37 (v94(constB142)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34415, 34326])).
% 136.72/87.37 tff(34488,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v84(constB142, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v84(constB142, bitIndex1))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34489,plain,
% 136.72/87.37 (((~less_3(bitIndex1)) | (~v94(constB142)) | v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1))) <=> ((~v94(constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v84(constB142, bitIndex1))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34490,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB142)) | v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v84(constB142, bitIndex1)))),
% 136.72/87.37 inference(monotonicity,[status(thm)],[34489])).
% 136.72/87.37 tff(34491,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB142)) | v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v84(constB142, bitIndex1))),
% 136.72/87.37 inference(transitivity,[status(thm)],[34490, 34488])).
% 136.72/87.37 tff(34492,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB142)) | v84(constB142, bitIndex1) | (~v123(constB142, bitIndex1)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34493,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v84(constB142, bitIndex1)),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34492, 34491])).
% 136.72/87.37 tff(34494,plain,
% 136.72/87.37 (~v123(constB142, bitIndex1)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34493, 1674, 823, 34487, 34486])).
% 136.72/87.37 tff(34495,assumption,(v121(constB141, bitIndex1)), introduced(assumption)).
% 136.72/87.37 tff(34496,assumption,(~v123(constB142, bitIndex1)), introduced(assumption)).
% 136.72/87.37 tff(34497,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex1)) | v123(constB142, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex1)) | v123(constB142, bitIndex1) | (~v121(constB141, bitIndex1)))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34498,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex1)) | v123(constB142, bitIndex1) | (~v121(constB141, bitIndex1)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34499,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex1)) | v123(constB142, bitIndex1) | (~v121(constB141, bitIndex1))),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34498, 34497])).
% 136.72/87.37 tff(34500,plain,
% 136.72/87.37 ($false),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34499, 1708, 823, 34215, 34496, 34495])).
% 136.72/87.37 tff(34501,plain,(v123(constB142, bitIndex1) | (~v121(constB141, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.37 tff(34502,plain,
% 136.72/87.37 (~v121(constB141, bitIndex1)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34501, 34494])).
% 136.72/87.37 tff(34503,plain,
% 136.72/87.37 (~v84(constB143, bitIndex0)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34484, 34241, 34475, 34469])).
% 136.72/87.37 tff(34504,assumption,(~v84(constB143, bitIndex0)), introduced(assumption)).
% 136.72/87.37 tff(34505,assumption,(v84(constB142, bitIndex0)), introduced(assumption)).
% 136.72/87.37 tff(34506,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB142, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB142, bitIndex0)))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34507,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB142, bitIndex0)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34508,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB142, bitIndex0))),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34507, 34506])).
% 136.72/87.37 tff(34509,plain,
% 136.72/87.37 ($false),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34508, 777, 795, 34248, 34260, 34505, 34504])).
% 136.72/87.37 tff(34510,plain,(v84(constB143, bitIndex0) | (~v84(constB142, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.37 tff(34511,plain,
% 136.72/87.37 (~v84(constB142, bitIndex0)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34510, 34503])).
% 136.72/87.37 tff(34512,assumption,(v94(constB142)), introduced(assumption)).
% 136.72/87.37 tff(34513,assumption,(~v84(constB142, bitIndex0)), introduced(assumption)).
% 136.72/87.37 tff(34514,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v84(constB142, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v84(constB142, bitIndex0))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34515,plain,
% 136.72/87.37 (((~less_3(bitIndex0)) | (~v94(constB142)) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0))) <=> ((~v94(constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v84(constB142, bitIndex0))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34516,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB142)) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v84(constB142, bitIndex0)))),
% 136.72/87.37 inference(monotonicity,[status(thm)],[34515])).
% 136.72/87.37 tff(34517,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB142)) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v84(constB142, bitIndex0))),
% 136.72/87.37 inference(transitivity,[status(thm)],[34516, 34514])).
% 136.72/87.37 tff(34518,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB142)) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34519,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v84(constB142, bitIndex0)),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34518, 34517])).
% 136.72/87.37 tff(34520,plain,
% 136.72/87.37 ((~v94(constB142)) | (~v123(constB142, bitIndex0))),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34519, 1674, 795, 34513])).
% 136.72/87.37 tff(34521,plain,
% 136.72/87.37 (~v123(constB142, bitIndex0)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34520, 34512])).
% 136.72/87.37 tff(34522,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex0)) | v123(constB142, bitIndex0) | (~v121(constB141, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex0)) | v123(constB142, bitIndex0) | (~v121(constB141, bitIndex0)))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34523,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex0)) | v123(constB142, bitIndex0) | (~v121(constB141, bitIndex0)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34524,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex0)) | v123(constB142, bitIndex0) | (~v121(constB141, bitIndex0))),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34523, 34522])).
% 136.72/87.37 tff(34525,plain,
% 136.72/87.37 (~v121(constB141, bitIndex0)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34524, 1708, 795, 34215, 34521])).
% 136.72/87.37 tff(34526,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex0)) | v121(constB141, bitIndex0) | (~v124(constB141, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex0)) | v121(constB141, bitIndex0) | (~v124(constB141, bitIndex0)))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34527,plain,
% 136.72/87.37 ((v26(constB141) | v121(constB141, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0))) <=> (v26(constB141) | (~less_3(bitIndex0)) | v121(constB141, bitIndex0) | (~v124(constB141, bitIndex0)))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34528,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex0)) | v121(constB141, bitIndex0) | (~v124(constB141, bitIndex0))))),
% 136.72/87.37 inference(monotonicity,[status(thm)],[34527])).
% 136.72/87.37 tff(34529,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex0)) | v121(constB141, bitIndex0) | (~v124(constB141, bitIndex0)))),
% 136.72/87.37 inference(transitivity,[status(thm)],[34528, 34526])).
% 136.72/87.37 tff(34530,plain,
% 136.72/87.37 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34531,plain,
% 136.72/87.37 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex0)) | v121(constB141, bitIndex0) | (~v124(constB141, bitIndex0))),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34530, 34529])).
% 136.72/87.37 tff(34532,plain,
% 136.72/87.37 (~v124(constB141, bitIndex0)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34531, 1728, 795, 34204, 34525])).
% 136.72/87.37 tff(34533,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB141)) | v124(constB141, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB141)) | v124(constB141, bitIndex0))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34534,plain,
% 136.72/87.37 (((~v115(constB141)) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB141)) | v124(constB141, bitIndex0))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34535,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB141)) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB141)) | v124(constB141, bitIndex0)))),
% 136.72/87.37 inference(monotonicity,[status(thm)],[34534])).
% 136.72/87.37 tff(34536,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB141)) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB141)) | v124(constB141, bitIndex0))),
% 136.72/87.37 inference(transitivity,[status(thm)],[34535, 34533])).
% 136.72/87.37 tff(34537,plain,
% 136.72/87.37 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB141)) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b011(bitIndex0)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34538,plain,
% 136.72/87.37 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB141)) | v124(constB141, bitIndex0)),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34537, 34536])).
% 136.72/87.37 tff(34539,plain,
% 136.72/87.37 (~v115(constB141)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34538, 1148, 1193, 795, 34532])).
% 136.72/87.37 tff(34540,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v84(constB142, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v84(constB142, bitIndex2))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34541,plain,
% 136.72/87.37 (((~less_3(bitIndex2)) | (~v94(constB142)) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2))) <=> ((~v94(constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v84(constB142, bitIndex2))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34542,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB142)) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v84(constB142, bitIndex2)))),
% 136.72/87.37 inference(monotonicity,[status(thm)],[34541])).
% 136.72/87.37 tff(34543,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB142)) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v84(constB142, bitIndex2))),
% 136.72/87.37 inference(transitivity,[status(thm)],[34542, 34540])).
% 136.72/87.37 tff(34544,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB142)) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34545,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v84(constB142, bitIndex2)),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34544, 34543])).
% 136.72/87.37 tff(34546,plain,
% 136.72/87.37 ((~v94(constB142)) | (~v123(constB142, bitIndex2))),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34545, 1674, 767, 34326])).
% 136.72/87.37 tff(34547,plain,
% 136.72/87.37 (~v123(constB142, bitIndex2)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34546, 34512])).
% 136.72/87.37 tff(34548,plain,
% 136.72/87.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex2)) | v123(constB142, bitIndex2) | (~v121(constB141, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex2)) | v123(constB142, bitIndex2) | (~v121(constB141, bitIndex2)))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34549,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex2)) | v123(constB142, bitIndex2) | (~v121(constB141, bitIndex2)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34550,plain,
% 136.72/87.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex2)) | v123(constB142, bitIndex2) | (~v121(constB141, bitIndex2))),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34549, 34548])).
% 136.72/87.37 tff(34551,plain,
% 136.72/87.37 (~v121(constB141, bitIndex2)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34550, 1708, 767, 34215, 34547])).
% 136.72/87.37 tff(34552,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex2)) | v121(constB141, bitIndex2) | (~v124(constB141, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex2)) | v121(constB141, bitIndex2) | (~v124(constB141, bitIndex2)))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34553,plain,
% 136.72/87.37 ((v26(constB141) | v121(constB141, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2))) <=> (v26(constB141) | (~less_3(bitIndex2)) | v121(constB141, bitIndex2) | (~v124(constB141, bitIndex2)))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34554,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex2)) | v121(constB141, bitIndex2) | (~v124(constB141, bitIndex2))))),
% 136.72/87.37 inference(monotonicity,[status(thm)],[34553])).
% 136.72/87.37 tff(34555,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex2)) | v121(constB141, bitIndex2) | (~v124(constB141, bitIndex2)))),
% 136.72/87.37 inference(transitivity,[status(thm)],[34554, 34552])).
% 136.72/87.37 tff(34556,plain,
% 136.72/87.37 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34557,plain,
% 136.72/87.37 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex2)) | v121(constB141, bitIndex2) | (~v124(constB141, bitIndex2))),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34556, 34555])).
% 136.72/87.37 tff(34558,plain,
% 136.72/87.37 (~v124(constB141, bitIndex2)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34557, 1728, 767, 34204, 34551])).
% 136.72/87.37 tff(34559,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB141)) | v124(constB141, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB141)) | v124(constB141, bitIndex2))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34560,plain,
% 136.72/87.37 (((~v116(constB141)) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB141)) | v124(constB141, bitIndex2))),
% 136.72/87.37 inference(rewrite,[status(thm)],[])).
% 136.72/87.37 tff(34561,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB141)) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB141)) | v124(constB141, bitIndex2)))),
% 136.72/87.37 inference(monotonicity,[status(thm)],[34560])).
% 136.72/87.37 tff(34562,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB141)) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB141)) | v124(constB141, bitIndex2))),
% 136.72/87.37 inference(transitivity,[status(thm)],[34561, 34559])).
% 136.72/87.37 tff(34563,plain,
% 136.72/87.37 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB141)) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~b100(bitIndex2)))),
% 136.72/87.37 inference(quant_inst,[status(thm)],[])).
% 136.72/87.37 tff(34564,plain,
% 136.72/87.37 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB141)) | v124(constB141, bitIndex2)),
% 136.72/87.37 inference(modus_ponens,[status(thm)],[34563, 34562])).
% 136.72/87.37 tff(34565,plain,
% 136.72/87.37 (~v116(constB141)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34564, 1772, 1769, 767, 34558])).
% 136.72/87.37 tff(34566,plain,
% 136.72/87.37 ((~v94(constB142)) | (~v123(constB142, bitIndex1))),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34493, 1674, 823, 34230])).
% 136.72/87.37 tff(34567,plain,
% 136.72/87.37 (~v123(constB142, bitIndex1)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34566, 34512])).
% 136.72/87.37 tff(34568,plain,
% 136.72/87.37 (~v121(constB141, bitIndex1)),
% 136.72/87.37 inference(unit_resolution,[status(thm)],[34499, 1708, 823, 34215, 34567])).
% 136.72/87.37 tff(34569,plain,
% 136.72/87.37 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34570,plain,
% 136.72/87.38 ((v26(constB141) | v121(constB141, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1))) <=> (v26(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34571,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1)))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34570])).
% 136.72/87.38 tff(34572,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34571, 34569])).
% 136.72/87.38 tff(34573,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB141) | v121(constB141, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34574,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | v121(constB141, bitIndex1)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34573, 34572])).
% 136.72/87.38 tff(34575,plain,
% 136.72/87.38 (~v124(constB141, bitIndex1)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34574, 1728, 823, 34204, 34568])).
% 136.72/87.38 tff(34576,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB141)) | v124(constB141, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB141)) | v124(constB141, bitIndex1))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34577,plain,
% 136.72/87.38 (((~v172(constB141)) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB141)) | v124(constB141, bitIndex1))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34578,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB141)) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB141)) | v124(constB141, bitIndex1)))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34577])).
% 136.72/87.38 tff(34579,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB141)) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB141)) | v124(constB141, bitIndex1))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34578, 34576])).
% 136.72/87.38 tff(34580,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB141)) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~b110(bitIndex1)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34581,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB141)) | v124(constB141, bitIndex1)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34580, 34579])).
% 136.72/87.38 tff(34582,plain,
% 136.72/87.38 (~v172(constB141)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34581, 1801, 1798, 823, 34575])).
% 136.72/87.38 tff(34583,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB141)) | v124(constB141, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB141)) | v124(constB141, bitIndex0))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34584,plain,
% 136.72/87.38 (((~v118(constB141)) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB141)) | v124(constB141, bitIndex0))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34585,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB141)) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB141)) | v124(constB141, bitIndex0)))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34584])).
% 136.72/87.38 tff(34586,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB141)) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB141)) | v124(constB141, bitIndex0))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34585, 34583])).
% 136.72/87.38 tff(34587,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB141)) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b011(bitIndex0)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34588,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB141)) | v124(constB141, bitIndex0)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34587, 34586])).
% 136.72/87.38 tff(34589,plain,
% 136.72/87.38 (~v118(constB141)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34588, 1148, 1145, 795, 34532])).
% 136.72/87.38 tff(34590,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB141)) | v124(constB141, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB141)) | v124(constB141, bitIndex2))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34591,plain,
% 136.72/87.38 (((~v113(constB141)) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB141)) | v124(constB141, bitIndex2))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34592,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB141)) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB141)) | v124(constB141, bitIndex2)))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34591])).
% 136.72/87.38 tff(34593,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB141)) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB141)) | v124(constB141, bitIndex2))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34592, 34590])).
% 136.72/87.38 tff(34594,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v113(constB141)) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~b100(bitIndex2)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34595,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v113(constB141)) | v124(constB141, bitIndex2)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34594, 34593])).
% 136.72/87.38 tff(34596,plain,
% 136.72/87.38 (~v113(constB141)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34595, 1772, 1838, 767, 34558])).
% 136.72/87.38 tff(34597,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB141) | (~b001(bitIndex0)) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | v124(constB141, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB141) | (~b001(bitIndex0)) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | v124(constB141, bitIndex0))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34598,plain,
% 136.72/87.38 ((v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB141) | (~b001(bitIndex0)) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | v124(constB141, bitIndex0))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34599,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB141) | (~b001(bitIndex0)) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | v124(constB141, bitIndex0)))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34598])).
% 136.72/87.38 tff(34600,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB141) | (~b001(bitIndex0)) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | v124(constB141, bitIndex0))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34599, 34597])).
% 136.72/87.38 tff(34601,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~b001(bitIndex0)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34602,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB141) | (~b001(bitIndex0)) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | v124(constB141, bitIndex0)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34601, 34600])).
% 136.72/87.38 tff(34603,plain,
% 136.72/87.38 (v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34602, 1213, 1210, 795, 34056, 34532])).
% 136.72/87.38 tff(34604,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34603, 34596, 34589, 34582, 34565, 34539])).
% 136.72/87.38 tff(34605,plain,((~v94(constB142)) | v145(constB141) | v84(constB142, bitIndex2) | v84(constB142, bitIndex1) | v84(constB142, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34606,plain,
% 136.72/87.38 (v145(constB141)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34605, 34486, 34326, 34487, 34511])).
% 136.72/87.38 tff(34607,assumption,(~v124(constB141, bitIndex1)), introduced(assumption)).
% 136.72/87.38 tff(34608,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB141)) | (~b010(bitIndex1)) | v124(constB141, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB141)) | (~b010(bitIndex1)) | v124(constB141, bitIndex1))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34609,plain,
% 136.72/87.38 (((~v145(constB141)) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB141)) | (~b010(bitIndex1)) | v124(constB141, bitIndex1))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34610,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB141)) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB141)) | (~b010(bitIndex1)) | v124(constB141, bitIndex1)))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34609])).
% 136.72/87.38 tff(34611,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB141)) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB141)) | (~b010(bitIndex1)) | v124(constB141, bitIndex1))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34610, 34608])).
% 136.72/87.38 tff(34612,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB141)) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~b010(bitIndex1)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34613,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB141)) | (~b010(bitIndex1)) | v124(constB141, bitIndex1)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34612, 34611])).
% 136.72/87.38 tff(34614,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34613, 1821, 1818, 823, 33487, 34607])).
% 136.72/87.38 tff(34615,plain,(v124(constB141, bitIndex1) | (~v145(constB141))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34616,plain,
% 136.72/87.38 (v124(constB141, bitIndex1)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34615, 34606])).
% 136.72/87.38 tff(34617,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34574, 1728, 823, 34204, 34616, 34502])).
% 136.72/87.38 tff(34618,plain,(v84(constB143, bitIndex1) | v84(constB142, bitIndex2) | v145(constB143) | v118(constB143)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34619,plain,
% 136.72/87.38 (v84(constB142, bitIndex2)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34618, 34467, 34241, 34451])).
% 136.72/87.38 tff(34620,plain,
% 136.72/87.38 (v84(constB143, bitIndex2)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34423, 34619])).
% 136.72/87.38 tff(34621,plain,
% 136.72/87.38 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34622,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34623,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2)) | v172(constB143)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34622, 34621])).
% 136.72/87.38 tff(34624,plain,
% 136.72/87.38 (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex2)) | v172(constB143)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34623, 1047, 34241])).
% 136.72/87.38 tff(34625,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34624, 34620, 34485, 34447])).
% 136.72/87.38 tff(34626,plain,(v108(constB143) | v84(constB143, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34627,plain,
% 136.72/87.38 (v108(constB143)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34626, 34438])).
% 136.72/87.38 tff(34628,plain,
% 136.72/87.38 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34629,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34630,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB143) | (~nextState(constB143, constB144)) | (~v98(constB144))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34629, 34628])).
% 136.72/87.38 tff(34631,plain,
% 136.72/87.38 (~v98(constB144)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34630, 541, 34430, 34245])).
% 136.72/87.38 tff(34632,plain,
% 136.72/87.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34633,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB143, constB144)) | v96(constB144) | v98(constB144))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34634,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB143, constB144)) | v96(constB144) | v98(constB144)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34633, 34632])).
% 136.72/87.38 tff(34635,plain,
% 136.72/87.38 (v96(constB144) | v98(constB144)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34634, 555, 34430])).
% 136.72/87.38 tff(34636,plain,
% 136.72/87.38 (v96(constB144)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34635, 34631])).
% 136.72/87.38 tff(34637,plain,
% 136.72/87.38 (v1(constB144) <=> v1(constB144)),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34638,axiom,(v1(constB144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_144_1')).
% 136.72/87.38 tff(34639,plain,
% 136.72/87.38 (v1(constB144)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34638, 34637])).
% 136.72/87.38 tff(34640,plain,
% 136.72/87.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34641,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34642,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB143, constB144)) | v95(constB144) | (~v96(constB144)) | (~v1(constB144))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34641, 34640])).
% 136.72/87.38 tff(34643,plain,
% 136.72/87.38 (v95(constB144) | (~v96(constB144))),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34642, 573, 34430, 34639])).
% 136.72/87.38 tff(34644,plain,
% 136.72/87.38 (v95(constB144)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34643, 34636])).
% 136.72/87.38 tff(34645,plain,
% 136.72/87.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34646,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34647,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB143, constB144)) | (~v95(constB144)) | (~v104(constB144)) | v94(constB144)),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34646, 34645])).
% 136.72/87.38 tff(34648,plain,
% 136.72/87.38 ((~v95(constB144)) | (~v104(constB144)) | v94(constB144)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34647, 588, 34430])).
% 136.72/87.38 tff(34649,plain,
% 136.72/87.38 ((~v104(constB144)) | v94(constB144)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34648, 34644])).
% 136.72/87.38 tff(34650,plain,
% 136.72/87.38 (~v104(constB144)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34649, 34427])).
% 136.72/87.38 tff(34651,plain,
% 136.72/87.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34652,plain,
% 136.72/87.38 (((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144)) <=> ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34653,plain,
% 136.72/87.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34652])).
% 136.72/87.38 tff(34654,plain,
% 136.72/87.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143)))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34653, 34651])).
% 136.72/87.38 tff(34655,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB143, constB144)) | (~v102(constB143)) | v104(constB144))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34656,plain,
% 136.72/87.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v102(constB143))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34655, 34654])).
% 136.72/87.38 tff(34657,plain,
% 136.72/87.38 (v104(constB144) | (~v102(constB143))),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34656, 604, 34430])).
% 136.72/87.38 tff(34658,plain,
% 136.72/87.38 (~v102(constB143)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34657, 34650])).
% 136.72/87.38 tff(34659,plain,
% 136.72/87.38 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB143) | (~v106(constB143)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB143) | (~v106(constB143)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34660,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB143) | (~v106(constB143)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34661,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB143) | (~v106(constB143))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34660, 34659])).
% 136.72/87.38 tff(34662,plain,
% 136.72/87.38 (~v106(constB143)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34661, 619, 34658])).
% 136.72/87.38 tff(34663,assumption,(v26(constB143)), introduced(assumption)).
% 136.72/87.38 tff(34664,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34665,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34664, 1172, 34663])).
% 136.72/87.38 tff(34666,plain,(~v26(constB143)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34667,plain,
% 136.72/87.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34668,plain,
% 136.72/87.38 ((v26(constB143) | (~v107(constB143)) | v106(constB143)) <=> (v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34669,plain,
% 136.72/87.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | v106(constB143) | (~v107(constB143))))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34668])).
% 136.72/87.38 tff(34670,plain,
% 136.72/87.38 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143)))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34669, 34667])).
% 136.72/87.38 tff(34671,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB143) | (~v107(constB143)) | v106(constB143))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34672,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB143) | v106(constB143) | (~v107(constB143))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34671, 34670])).
% 136.72/87.38 tff(34673,plain,
% 136.72/87.38 (v106(constB143) | (~v107(constB143))),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34672, 644, 34666])).
% 136.72/87.38 tff(34674,plain,
% 136.72/87.38 (~v107(constB143)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34673, 34662])).
% 136.72/87.38 tff(34675,plain,
% 136.72/87.38 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB143) | (~v108(constB143)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB143) | (~v108(constB143)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34676,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB143) | (~v108(constB143)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34677,plain,
% 136.72/87.38 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB143) | (~v108(constB143))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34676, 34675])).
% 136.72/87.38 tff(34678,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34677, 658, 34674, 34627])).
% 136.72/87.38 tff(34679,plain,(v94(constB144) | v84(constB144, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34680,plain,
% 136.72/87.38 (v94(constB144)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34679, 34426])).
% 136.72/87.38 tff(34681,assumption,(v123(constB144, bitIndex1)), introduced(assumption)).
% 136.72/87.38 tff(34682,assumption,(v94(constB144)), introduced(assumption)).
% 136.72/87.38 tff(34683,plain,
% 136.72/87.38 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB144)) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34684,plain,
% 136.72/87.38 (((~less_3(bitIndex1)) | (~v94(constB144)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1))) <=> ((~v94(constB144)) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34685,plain,
% 136.72/87.38 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB144)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB144)) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1))))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34684])).
% 136.72/87.38 tff(34686,plain,
% 136.72/87.38 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB144)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34685, 34683])).
% 136.72/87.38 tff(34687,plain,
% 136.72/87.38 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB144)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34688,plain,
% 136.72/87.38 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex1)) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34687, 34686])).
% 136.72/87.38 tff(34689,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34688, 1674, 823, 34682, 34426, 34681])).
% 136.72/87.38 tff(34690,plain,(v84(constB144, bitIndex1) | (~v94(constB144)) | (~v123(constB144, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34691,plain,
% 136.72/87.38 (~v123(constB144, bitIndex1)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34690, 34680, 34426])).
% 136.72/87.38 tff(34692,assumption,(~v123(constB144, bitIndex1)), introduced(assumption)).
% 136.72/87.38 tff(34693,assumption,(v121(constB143, bitIndex1)), introduced(assumption)).
% 136.72/87.38 tff(34694,plain,
% 136.72/87.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex1)) | v123(constB144, bitIndex1) | (~v121(constB143, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex1)) | v123(constB144, bitIndex1) | (~v121(constB143, bitIndex1)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34695,plain,
% 136.72/87.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex1)) | v123(constB144, bitIndex1) | (~v121(constB143, bitIndex1)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34696,plain,
% 136.72/87.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex1)) | v123(constB144, bitIndex1) | (~v121(constB143, bitIndex1))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34695, 34694])).
% 136.72/87.38 tff(34697,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34696, 1708, 823, 34430, 34693, 34692])).
% 136.72/87.38 tff(34698,plain,(v123(constB144, bitIndex1) | (~v121(constB143, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34699,plain,
% 136.72/87.38 (~v121(constB143, bitIndex1)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34698, 34691])).
% 136.72/87.38 tff(34700,assumption,(~v121(constB143, bitIndex1)), introduced(assumption)).
% 136.72/87.38 tff(34701,assumption,(v124(constB143, bitIndex1)), introduced(assumption)).
% 136.72/87.38 tff(34702,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex1)) | v121(constB143, bitIndex1) | (~v124(constB143, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex1)) | v121(constB143, bitIndex1) | (~v124(constB143, bitIndex1)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34703,plain,
% 136.72/87.38 ((v26(constB143) | v121(constB143, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1))) <=> (v26(constB143) | (~less_3(bitIndex1)) | v121(constB143, bitIndex1) | (~v124(constB143, bitIndex1)))),
% 136.72/87.38 inference(rewrite,[status(thm)],[])).
% 136.72/87.38 tff(34704,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex1)) | v121(constB143, bitIndex1) | (~v124(constB143, bitIndex1))))),
% 136.72/87.38 inference(monotonicity,[status(thm)],[34703])).
% 136.72/87.38 tff(34705,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex1)) | v121(constB143, bitIndex1) | (~v124(constB143, bitIndex1)))),
% 136.72/87.38 inference(transitivity,[status(thm)],[34704, 34702])).
% 136.72/87.38 tff(34706,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)))),
% 136.72/87.38 inference(quant_inst,[status(thm)],[])).
% 136.72/87.38 tff(34707,plain,
% 136.72/87.38 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex1)) | v121(constB143, bitIndex1) | (~v124(constB143, bitIndex1))),
% 136.72/87.38 inference(modus_ponens,[status(thm)],[34706, 34705])).
% 136.72/87.38 tff(34708,plain,
% 136.72/87.38 ($false),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34707, 1728, 823, 34666, 34701, 34700])).
% 136.72/87.38 tff(34709,plain,(v121(constB143, bitIndex1) | (~v124(constB143, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.38 tff(34710,plain,
% 136.72/87.38 (~v124(constB143, bitIndex1)),
% 136.72/87.38 inference(unit_resolution,[status(thm)],[34709, 34699])).
% 136.72/87.38 tff(34711,assumption,(~v124(constB143, bitIndex1)), introduced(assumption)).
% 136.72/87.38 tff(34712,assumption,(v145(constB143)), introduced(assumption)).
% 136.72/87.38 tff(34713,plain,
% 136.72/87.38 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB143)) | (~b010(bitIndex1)) | v124(constB143, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB143)) | (~b010(bitIndex1)) | v124(constB143, bitIndex1))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34714,plain,
% 136.72/87.39 (((~v145(constB143)) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB143)) | (~b010(bitIndex1)) | v124(constB143, bitIndex1))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34715,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB143)) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB143)) | (~b010(bitIndex1)) | v124(constB143, bitIndex1)))),
% 136.72/87.39 inference(monotonicity,[status(thm)],[34714])).
% 136.72/87.39 tff(34716,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB143)) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB143)) | (~b010(bitIndex1)) | v124(constB143, bitIndex1))),
% 136.72/87.39 inference(transitivity,[status(thm)],[34715, 34713])).
% 136.72/87.39 tff(34717,plain,
% 136.72/87.39 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB143)) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~b010(bitIndex1)))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34718,plain,
% 136.72/87.39 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB143)) | (~b010(bitIndex1)) | v124(constB143, bitIndex1)),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34717, 34716])).
% 136.72/87.39 tff(34719,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34718, 1821, 1818, 823, 34712, 34711])).
% 136.72/87.39 tff(34720,plain,(v124(constB143, bitIndex1) | (~v145(constB143))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34721,plain,
% 136.72/87.39 (~v145(constB143)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34720, 34710])).
% 136.72/87.39 tff(34722,assumption,(v172(constB143)), introduced(assumption)).
% 136.72/87.39 tff(34723,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB143)) | v124(constB143, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB143)) | v124(constB143, bitIndex1))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34724,plain,
% 136.72/87.39 (((~v172(constB143)) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB143)) | v124(constB143, bitIndex1))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34725,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB143)) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB143)) | v124(constB143, bitIndex1)))),
% 136.72/87.39 inference(monotonicity,[status(thm)],[34724])).
% 136.72/87.39 tff(34726,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB143)) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB143)) | v124(constB143, bitIndex1))),
% 136.72/87.39 inference(transitivity,[status(thm)],[34725, 34723])).
% 136.72/87.39 tff(34727,plain,
% 136.72/87.39 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB143)) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~b110(bitIndex1)))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34728,plain,
% 136.72/87.39 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB143)) | v124(constB143, bitIndex1)),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34727, 34726])).
% 136.72/87.39 tff(34729,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34728, 1801, 1798, 823, 34722, 34711])).
% 136.72/87.39 tff(34730,plain,(v124(constB143, bitIndex1) | (~v172(constB143))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34731,plain,
% 136.72/87.39 (~v172(constB143)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34730, 34710])).
% 136.72/87.39 tff(34732,assumption,(v172(constB141)), introduced(assumption)).
% 136.72/87.39 tff(34733,plain,
% 136.72/87.39 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB141) | (~v172(constB141)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB141) | (~v172(constB141)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34734,plain,
% 136.72/87.39 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB141) | (~v172(constB141)))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34735,plain,
% 136.72/87.39 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB141) | (~v172(constB141))),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34734, 34733])).
% 136.72/87.39 tff(34736,plain,
% 136.72/87.39 (v109(constB141)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34735, 1033, 34732])).
% 136.72/87.39 tff(34737,plain,
% 136.72/87.39 (v108(constB141)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34316, 669, 34736])).
% 136.72/87.39 tff(34738,plain,
% 136.72/87.39 (v107(constB141)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34312, 658, 34737])).
% 136.72/87.39 tff(34739,plain,
% 136.72/87.39 (v106(constB141)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34308, 34738])).
% 136.72/87.39 tff(34740,plain,
% 136.72/87.39 (v102(constB141)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34300, 619, 34739])).
% 136.72/87.39 tff(34741,plain,
% 136.72/87.39 (v104(constB142)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34296, 34740])).
% 136.72/87.39 tff(34742,plain,
% 136.72/87.39 (v94(constB142)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34288, 34741])).
% 136.72/87.39 tff(34743,plain,
% 136.72/87.39 (~v123(constB142, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34566, 34742])).
% 136.72/87.39 tff(34744,plain,
% 136.72/87.39 (~v121(constB141, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34501, 34743])).
% 136.72/87.39 tff(34745,plain,
% 136.72/87.39 (~v124(constB141, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34574, 1728, 823, 34204, 34744])).
% 136.72/87.39 tff(34746,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34581, 1801, 1798, 823, 34732, 34745])).
% 136.72/87.39 tff(34747,plain,((~v172(constB141)) | v84(constB142, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34748,plain,
% 136.72/87.39 (~v172(constB141)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34747, 34486])).
% 136.72/87.39 tff(34749,plain,
% 136.72/87.39 ((~v84(constB141, bitIndex0)) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2))),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34402, 1018, 34182])).
% 136.72/87.39 tff(34750,plain,
% 136.72/87.39 (~v84(constB141, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34749, 34327, 33496])).
% 136.72/87.39 tff(34751,plain,
% 136.72/87.39 (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex2))),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34389, 1047, 33496, 34385])).
% 136.72/87.39 tff(34752,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34751, 34750, 34327])).
% 136.72/87.39 tff(34753,plain,((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v172(constB141)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34754,plain,
% 136.72/87.39 (~v84(constB141, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34753, 34748, 33496])).
% 136.72/87.39 tff(34755,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB142, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB142, bitIndex2)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34756,plain,
% 136.72/87.39 (((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB142, bitIndex2)) | v84(constB141, bitIndex2)) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB142, bitIndex2)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34757,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB142, bitIndex2)) | v84(constB141, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB142, bitIndex2))))),
% 136.72/87.39 inference(monotonicity,[status(thm)],[34756])).
% 136.72/87.39 tff(34758,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB142, bitIndex2)) | v84(constB141, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB142, bitIndex2)))),
% 136.72/87.39 inference(transitivity,[status(thm)],[34757, 34755])).
% 136.72/87.39 tff(34759,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | (~v84(constB142, bitIndex2)) | v84(constB141, bitIndex2))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34760,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex2)) | v84(constB141, bitIndex2) | (~v84(constB142, bitIndex2))),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34759, 34758])).
% 136.72/87.39 tff(34761,plain,
% 136.72/87.39 (v94(constB142) | v84(constB141, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34760, 805, 767, 34215, 34418])).
% 136.72/87.39 tff(34762,plain,
% 136.72/87.39 (v94(constB142)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34761, 33754])).
% 136.72/87.39 tff(34763,plain,
% 136.72/87.39 (~v123(constB142, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34566, 34762])).
% 136.72/87.39 tff(34764,plain,
% 136.72/87.39 (~v121(constB141, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34501, 34763])).
% 136.72/87.39 tff(34765,plain,
% 136.72/87.39 (~v124(constB141, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34574, 1728, 823, 34204, 34764])).
% 136.72/87.39 tff(34766,plain,
% 136.72/87.39 (~v145(constB141)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34615, 34765])).
% 136.72/87.39 tff(34767,plain,
% 136.72/87.39 (v145(constB141) | (~v84(constB141, bitIndex0)) | v84(constB141, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34410, 865, 33496])).
% 136.72/87.39 tff(34768,plain,
% 136.72/87.39 (~v84(constB141, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34767, 34766, 33754])).
% 136.72/87.39 tff(34769,plain,
% 136.72/87.39 (~v84(constB140, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34044, 777, 795, 33502, 33514, 34768])).
% 136.72/87.39 tff(34770,plain,
% 136.72/87.39 (~v84(constB140, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[33522, 33496])).
% 136.72/87.39 tff(34771,plain,
% 136.72/87.39 (v94(constB140)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[33707, 34770])).
% 136.72/87.39 tff(34772,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB140)) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34773,plain,
% 136.72/87.39 (((~less_3(bitIndex0)) | (~v94(constB140)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0))) <=> ((~v94(constB140)) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34774,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB140)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB140)) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0))))),
% 136.72/87.39 inference(monotonicity,[status(thm)],[34773])).
% 136.72/87.39 tff(34775,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB140)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)))),
% 136.72/87.39 inference(transitivity,[status(thm)],[34774, 34772])).
% 136.72/87.39 tff(34776,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB140)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0)))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34777,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB140)) | (~less_3(bitIndex0)) | v84(constB140, bitIndex0) | (~v123(constB140, bitIndex0))),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34776, 34775])).
% 136.72/87.39 tff(34778,plain,
% 136.72/87.39 (~v123(constB140, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34777, 1674, 795, 34771, 34769])).
% 136.72/87.39 tff(34779,plain,
% 136.72/87.39 (~v123(constB140, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[33715, 1674, 823, 34771, 34770])).
% 136.72/87.39 tff(34780,plain,
% 136.72/87.39 (~v121(constB139, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[33724, 1708, 823, 33528, 34779])).
% 136.72/87.39 tff(34781,plain,
% 136.72/87.39 (~v84(constB140, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[33760, 777, 767, 33502, 33514, 33754])).
% 136.72/87.39 tff(34782,plain,
% 136.72/87.39 (~v123(constB140, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[33806, 1674, 767, 34771, 34781])).
% 136.72/87.39 tff(34783,plain,
% 136.72/87.39 (~v121(constB139, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[33815, 1708, 767, 33528, 34782])).
% 136.72/87.39 tff(34784,plain,
% 136.72/87.39 (v121(constB139, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[33883, 34783, 33731, 34780])).
% 136.72/87.39 tff(34785,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex0)) | v123(constB140, bitIndex0) | (~v121(constB139, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex0)) | v123(constB140, bitIndex0) | (~v121(constB139, bitIndex0)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34786,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex0)) | v123(constB140, bitIndex0) | (~v121(constB139, bitIndex0)))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34787,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex0)) | v123(constB140, bitIndex0) | (~v121(constB139, bitIndex0))),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34786, 34785])).
% 136.72/87.39 tff(34788,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34787, 1708, 795, 33528, 34784, 34778])).
% 136.72/87.39 tff(34789,plain,(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | v84(constB142, bitIndex1) | (~v84(constB142, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34790,plain,
% 136.72/87.39 (~v84(constB142, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34789, 34754, 34486, 33496])).
% 136.72/87.39 tff(34791,plain,
% 136.72/87.39 (v118(constB143)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34618, 34790, 34475, 34241])).
% 136.72/87.39 tff(34792,assumption,(v84(constB143, bitIndex2)), introduced(assumption)).
% 136.72/87.39 tff(34793,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB142, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB142, bitIndex2))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34794,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB142, bitIndex2))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34795,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB142, bitIndex2)),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34794, 34793])).
% 136.72/87.39 tff(34796,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34795, 805, 767, 34248, 34260, 34326, 34792])).
% 136.72/87.39 tff(34797,plain,((~v84(constB143, bitIndex2)) | v84(constB142, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34798,plain,
% 136.72/87.39 (~v84(constB143, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34797, 34790])).
% 136.72/87.39 tff(34799,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34481, 865, 34475, 34468, 34241, 34417])).
% 136.72/87.39 tff(34800,plain,(v145(constB143) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex1) | v84(constB143, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34801,plain,
% 136.72/87.39 (~v84(constB143, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34800, 34798, 34475, 34241])).
% 136.72/87.39 tff(34802,plain,
% 136.72/87.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB143, bitIndex0) | (~v118(constB143)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB143, bitIndex0) | (~v118(constB143)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34803,plain,
% 136.72/87.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB143, bitIndex0) | (~v118(constB143)))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34804,plain,
% 136.72/87.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB143, bitIndex0) | (~v118(constB143))),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34803, 34802])).
% 136.72/87.39 tff(34805,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34804, 2642, 34801, 34791])).
% 136.72/87.39 tff(34806,plain,(v84(constB143, bitIndex1) | v145(constB143) | v84(constB141, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34807,plain,
% 136.72/87.39 (v84(constB141, bitIndex1)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34806, 34241, 34475])).
% 136.72/87.39 tff(34808,assumption,(~v172(constB143)), introduced(assumption)).
% 136.72/87.39 tff(34809,plain,
% 136.72/87.39 (v84(constB142, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34618, 34241, 34469, 34475])).
% 136.72/87.39 tff(34810,plain,
% 136.72/87.39 (v84(constB143, bitIndex0) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex2))),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34623, 1047, 34808])).
% 136.72/87.39 tff(34811,plain,
% 136.72/87.39 (~v84(constB143, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34810, 34503, 34241])).
% 136.72/87.39 tff(34812,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34423, 34811, 34809])).
% 136.72/87.39 tff(34813,plain,(v84(constB143, bitIndex1) | v172(constB143) | v118(constB143) | v145(constB143)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34814,plain,
% 136.72/87.39 (v118(constB143)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34813, 34241, 34808, 34475])).
% 136.72/87.39 tff(34815,plain,
% 136.72/87.39 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB143, bitIndex2) | (~v118(constB143)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB143, bitIndex2) | (~v118(constB143)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34816,plain,
% 136.72/87.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB143, bitIndex2) | (~v118(constB143)))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34817,plain,
% 136.72/87.39 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB143, bitIndex2) | (~v118(constB143))),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34816, 34815])).
% 136.72/87.39 tff(34818,plain,
% 136.72/87.39 (v84(constB143, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34817, 5252, 34814])).
% 136.72/87.39 tff(34819,plain,
% 136.72/87.39 (v84(constB142, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34797, 34818])).
% 136.72/87.39 tff(34820,plain,
% 136.72/87.39 (v84(constB143, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34804, 2642, 34814])).
% 136.72/87.39 tff(34821,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB142, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB142, bitIndex0))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34822,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB142, bitIndex0))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34823,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB142, bitIndex0)),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34822, 34821])).
% 136.72/87.39 tff(34824,plain,
% 136.72/87.39 ($false),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34823, 805, 795, 34248, 34260, 34513, 34468])).
% 136.72/87.39 tff(34825,plain,((~v84(constB143, bitIndex0)) | v84(constB142, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.39 tff(34826,plain,
% 136.72/87.39 (v84(constB142, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34825, 34820])).
% 136.72/87.39 tff(34827,plain,
% 136.72/87.39 (v94(constB142)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34239, 34229, 34230])).
% 136.72/87.39 tff(34828,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB142)) | (~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB142)) | (~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34829,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB142)) | (~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34830,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB142)) | (~v84(constB142, bitIndex2)) | v123(constB142, bitIndex2)),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34829, 34828])).
% 136.72/87.39 tff(34831,plain,
% 136.72/87.39 ((~v94(constB142)) | v123(constB142, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34830, 1344, 767, 34418])).
% 136.72/87.39 tff(34832,plain,
% 136.72/87.39 (v123(constB142, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34831, 34827])).
% 136.72/87.39 tff(34833,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v121(constB141, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v121(constB141, bitIndex2))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34834,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v121(constB141, bitIndex2))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34835,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex2)) | (~v123(constB142, bitIndex2)) | v121(constB141, bitIndex2)),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34834, 34833])).
% 136.72/87.39 tff(34836,plain,
% 136.72/87.39 (v121(constB141, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34835, 1362, 767, 34215, 34832])).
% 136.72/87.39 tff(34837,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34838,plain,
% 136.72/87.39 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2)))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34839,plain,
% 136.72/87.39 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex2)) | v124(constB141, bitIndex2) | (~v121(constB141, bitIndex2))),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34838, 34837])).
% 136.72/87.39 tff(34840,plain,
% 136.72/87.39 (v124(constB141, bitIndex2)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34839, 1380, 767, 34204, 34836])).
% 136.72/87.39 tff(34841,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB141)) | (~v124(constB141, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB141)) | (~v124(constB141, bitIndex2)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34842,plain,
% 136.72/87.39 (((~v115(constB141)) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB141)) | (~v124(constB141, bitIndex2)))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34843,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB141)) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB141)) | (~v124(constB141, bitIndex2))))),
% 136.72/87.39 inference(monotonicity,[status(thm)],[34842])).
% 136.72/87.39 tff(34844,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB141)) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB141)) | (~v124(constB141, bitIndex2)))),
% 136.72/87.39 inference(transitivity,[status(thm)],[34843, 34841])).
% 136.72/87.39 tff(34845,plain,
% 136.72/87.39 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB141)) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)) | b011(bitIndex2))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34846,plain,
% 136.72/87.39 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB141)) | (~v124(constB141, bitIndex2))),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34845, 34844])).
% 136.72/87.39 tff(34847,plain,
% 136.72/87.39 (~v115(constB141)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34846, 2030, 2257, 767, 34840])).
% 136.72/87.39 tff(34848,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB142)) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB142)) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34849,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB142)) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34850,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB142)) | (~v84(constB142, bitIndex0)) | v123(constB142, bitIndex0)),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34849, 34848])).
% 136.72/87.39 tff(34851,plain,
% 136.72/87.39 ((~v94(constB142)) | v123(constB142, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34850, 1344, 795, 34505])).
% 136.72/87.39 tff(34852,plain,
% 136.72/87.39 (v123(constB142, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34851, 34827])).
% 136.72/87.39 tff(34853,plain,
% 136.72/87.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v121(constB141, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v121(constB141, bitIndex0))),
% 136.72/87.39 inference(rewrite,[status(thm)],[])).
% 136.72/87.39 tff(34854,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v121(constB141, bitIndex0))),
% 136.72/87.39 inference(quant_inst,[status(thm)],[])).
% 136.72/87.39 tff(34855,plain,
% 136.72/87.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex0)) | (~v123(constB142, bitIndex0)) | v121(constB141, bitIndex0)),
% 136.72/87.39 inference(modus_ponens,[status(thm)],[34854, 34853])).
% 136.72/87.39 tff(34856,plain,
% 136.72/87.39 (v121(constB141, bitIndex0)),
% 136.72/87.39 inference(unit_resolution,[status(thm)],[34855, 1362, 795, 34215, 34852])).
% 136.72/87.39 tff(34857,plain,
% 136.72/87.39 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34858,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34859,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex0)) | v124(constB141, bitIndex0) | (~v121(constB141, bitIndex0))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34858, 34857])).
% 136.72/87.40 tff(34860,plain,
% 136.72/87.40 (v124(constB141, bitIndex0)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34859, 1380, 795, 34204, 34856])).
% 136.72/87.40 tff(34861,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34862,plain,
% 136.72/87.40 (((~v116(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34863,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB141)) | (~v124(constB141, bitIndex0))))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34862])).
% 136.72/87.40 tff(34864,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34863, 34861])).
% 136.72/87.40 tff(34865,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b100(bitIndex0))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34866,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB141)) | (~v124(constB141, bitIndex0))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34865, 34864])).
% 136.72/87.40 tff(34867,plain,
% 136.72/87.40 (~v116(constB141)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34866, 2386, 2164, 795, 34860])).
% 136.72/87.40 tff(34868,plain,
% 136.72/87.40 (~v172(constB141)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34081, 2289, 34229])).
% 136.72/87.40 tff(34869,plain,
% 136.72/87.40 (~v113(constB141)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34054, 1465, 34229])).
% 136.72/87.40 tff(34870,plain,
% 136.72/87.40 (~v145(constB141)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[33493, 816, 34229])).
% 136.72/87.40 tff(34871,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex2)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34872,plain,
% 136.72/87.40 ((v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex2)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34873,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex2))))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34872])).
% 136.72/87.40 tff(34874,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex2)))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34873, 34871])).
% 136.72/87.40 tff(34875,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex2)) | (~v124(constB141, bitIndex2)) | b001(bitIndex2))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34876,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex2))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34875, 34874])).
% 136.72/87.40 tff(34877,plain,
% 136.72/87.40 (v116(constB141) | v115(constB141)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34876, 2427, 2424, 767, 34870, 34869, 34868, 34182, 34840])).
% 136.72/87.40 tff(34878,plain,
% 136.72/87.40 ($false),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34877, 34867, 34847])).
% 136.72/87.40 tff(34879,plain,((~v84(constB141, bitIndex1)) | (~v84(constB142, bitIndex0)) | (~v84(constB142, bitIndex2)) | v84(constB142, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.40 tff(34880,plain,
% 136.72/87.40 ($false),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34879, 34826, 34819, 34486, 34807])).
% 136.72/87.40 tff(34881,plain,(v84(constB143, bitIndex1) | v172(constB143) | v145(constB143)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.40 tff(34882,plain,
% 136.72/87.40 (v84(constB143, bitIndex1)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34881, 34731, 34721])).
% 136.72/87.40 tff(34883,plain,
% 136.72/87.40 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB143)) | (~v84(constB143, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB143)) | (~v84(constB143, bitIndex1)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34884,plain,
% 136.72/87.40 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB143)) | (~v84(constB143, bitIndex1)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34885,plain,
% 136.72/87.40 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB143)) | (~v84(constB143, bitIndex1))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34884, 34883])).
% 136.72/87.40 tff(34886,plain,
% 136.72/87.40 (~v113(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34885, 1465, 34882])).
% 136.72/87.40 tff(34887,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB143) | v113(constB143) | (~v112(constB143)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB143) | v113(constB143) | (~v112(constB143)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34888,plain,
% 136.72/87.40 ((v113(constB143) | (~v112(constB143)) | v145(constB143)) <=> (v145(constB143) | v113(constB143) | (~v112(constB143)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34889,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB143) | (~v112(constB143)) | v145(constB143))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB143) | v113(constB143) | (~v112(constB143))))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34888])).
% 136.72/87.40 tff(34890,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB143) | (~v112(constB143)) | v145(constB143))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB143) | v113(constB143) | (~v112(constB143)))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34889, 34887])).
% 136.72/87.40 tff(34891,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB143) | (~v112(constB143)) | v145(constB143))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34892,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB143) | v113(constB143) | (~v112(constB143))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34891, 34890])).
% 136.72/87.40 tff(34893,plain,
% 136.72/87.40 (v113(constB143) | (~v112(constB143))),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34892, 2894, 34721])).
% 136.72/87.40 tff(34894,plain,
% 136.72/87.40 (~v112(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34893, 34886])).
% 136.72/87.40 tff(34895,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB143, bitIndex0) | (~v116(constB143)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB143, bitIndex0) | (~v116(constB143)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34896,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB143, bitIndex0) | (~v116(constB143)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34897,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB143, bitIndex0) | (~v116(constB143))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34896, 34895])).
% 136.72/87.40 tff(34898,plain,
% 136.72/87.40 (~v116(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34897, 10948, 34504])).
% 136.72/87.40 tff(34899,assumption,(v84(constB143, bitIndex1)), introduced(assumption)).
% 136.72/87.40 tff(34900,plain,
% 136.72/87.40 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB143, bitIndex1)) | (~v172(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB143, bitIndex1)) | (~v172(constB143)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34901,plain,
% 136.72/87.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB143, bitIndex1)) | (~v172(constB143)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34902,plain,
% 136.72/87.40 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB143, bitIndex1)) | (~v172(constB143))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34901, 34900])).
% 136.72/87.40 tff(34903,plain,
% 136.72/87.40 (~v172(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34902, 2289, 34899])).
% 136.72/87.40 tff(34904,plain,
% 136.72/87.40 (~v113(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34885, 1465, 34899])).
% 136.72/87.40 tff(34905,assumption,(~v107(constB143)), introduced(assumption)).
% 136.72/87.40 tff(34906,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB143) | (~v119(constB143)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB143) | (~v119(constB143)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34907,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB143) | (~v119(constB143)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34908,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB143) | (~v119(constB143))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34907, 34906])).
% 136.72/87.40 tff(34909,plain,
% 136.72/87.40 (~v119(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34908, 1927, 34905])).
% 136.72/87.40 tff(34910,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB143, bitIndex0) | v119(constB143) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB143, bitIndex0) | v119(constB143) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34911,plain,
% 136.72/87.40 ((v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)) | v119(constB143)) <=> (v84(constB143, bitIndex0) | v119(constB143) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34912,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)) | v119(constB143))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB143, bitIndex0) | v119(constB143) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2))))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34911])).
% 136.72/87.40 tff(34913,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)) | v119(constB143))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB143, bitIndex0) | v119(constB143) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34912, 34910])).
% 136.72/87.40 tff(34914,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)) | v119(constB143))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34915,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB143, bitIndex0) | v119(constB143) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34914, 34913])).
% 136.72/87.40 tff(34916,plain,
% 136.72/87.40 (v84(constB143, bitIndex0) | v119(constB143) | (~v84(constB143, bitIndex2))),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34915, 1910, 34899])).
% 136.72/87.40 tff(34917,plain,
% 136.72/87.40 (~v84(constB143, bitIndex2)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34916, 34909, 34504])).
% 136.72/87.40 tff(34918,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v115(constB143))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v115(constB143))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34919,plain,
% 136.72/87.40 ((v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v115(constB143)) <=> (v84(constB143, bitIndex0) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v115(constB143))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34920,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v115(constB143))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB143, bitIndex0) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v115(constB143)))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34919])).
% 136.72/87.40 tff(34921,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v115(constB143))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v115(constB143))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34920, 34918])).
% 136.72/87.40 tff(34922,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v115(constB143))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34923,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB143, bitIndex0) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v115(constB143)),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34922, 34921])).
% 136.72/87.40 tff(34924,plain,
% 136.72/87.40 (v84(constB143, bitIndex0) | v84(constB143, bitIndex2) | v115(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34923, 1095, 34899])).
% 136.72/87.40 tff(34925,plain,
% 136.72/87.40 (v115(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34924, 34917, 34504])).
% 136.72/87.40 tff(34926,plain,
% 136.72/87.40 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB143) | (~v115(constB143)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB143) | (~v115(constB143)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34927,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB143) | (~v115(constB143)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34928,plain,
% 136.72/87.40 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB143) | (~v115(constB143))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34927, 34926])).
% 136.72/87.40 tff(34929,plain,
% 136.72/87.40 (v111(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34928, 945, 34925])).
% 136.72/87.40 tff(34930,plain,
% 136.72/87.40 (~v108(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34677, 658, 34905])).
% 136.72/87.40 tff(34931,plain,
% 136.72/87.40 (~v109(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34442, 669, 34930])).
% 136.72/87.40 tff(34932,plain,
% 136.72/87.40 (~v110(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34454, 680, 34931])).
% 136.72/87.40 tff(34933,plain,
% 136.72/87.40 ($false),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34458, 691, 34932, 34929])).
% 136.72/87.40 tff(34934,plain,(v107(constB143) | v84(constB143, bitIndex0) | (~v84(constB143, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.72/87.40 tff(34935,plain,
% 136.72/87.40 (v107(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34934, 34504, 34899])).
% 136.72/87.40 tff(34936,plain,
% 136.72/87.40 (v106(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34673, 34935])).
% 136.72/87.40 tff(34937,plain,
% 136.72/87.40 (v102(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34661, 619, 34936])).
% 136.72/87.40 tff(34938,plain,
% 136.72/87.40 (v104(constB144)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34657, 34937])).
% 136.72/87.40 tff(34939,plain,
% 136.72/87.40 (v94(constB144)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34649, 34938])).
% 136.72/87.40 tff(34940,plain,
% 136.72/87.40 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB144)) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34941,plain,
% 136.72/87.40 (((~less_3(bitIndex0)) | (~v94(constB144)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0))) <=> ((~v94(constB144)) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34942,plain,
% 136.72/87.40 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB144)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB144)) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0))))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34941])).
% 136.72/87.40 tff(34943,plain,
% 136.72/87.40 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB144)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34942, 34940])).
% 136.72/87.40 tff(34944,plain,
% 136.72/87.40 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB144)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34945,plain,
% 136.72/87.40 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v123(constB144, bitIndex0))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34944, 34943])).
% 136.72/87.40 tff(34946,plain,
% 136.72/87.40 ((~v94(constB144)) | (~v123(constB144, bitIndex0))),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34945, 1674, 795, 34425])).
% 136.72/87.40 tff(34947,plain,
% 136.72/87.40 (~v123(constB144, bitIndex0)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34946, 34939])).
% 136.72/87.40 tff(34948,plain,
% 136.72/87.40 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v123(constB144, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v123(constB144, bitIndex0) | (~v121(constB143, bitIndex0)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34949,plain,
% 136.72/87.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v123(constB144, bitIndex0) | (~v121(constB143, bitIndex0)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34950,plain,
% 136.72/87.40 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v123(constB144, bitIndex0) | (~v121(constB143, bitIndex0))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34949, 34948])).
% 136.72/87.40 tff(34951,plain,
% 136.72/87.40 (~v121(constB143, bitIndex0)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34950, 1708, 795, 34430, 34947])).
% 136.72/87.40 tff(34952,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v124(constB143, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v124(constB143, bitIndex0)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34953,plain,
% 136.72/87.40 ((v26(constB143) | v121(constB143, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0))) <=> (v26(constB143) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v124(constB143, bitIndex0)))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34954,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v124(constB143, bitIndex0))))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34953])).
% 136.72/87.40 tff(34955,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v124(constB143, bitIndex0)))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34954, 34952])).
% 136.72/87.40 tff(34956,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34957,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v124(constB143, bitIndex0))),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34956, 34955])).
% 136.72/87.40 tff(34958,plain,
% 136.72/87.40 (~v124(constB143, bitIndex0)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34957, 1728, 795, 34666, 34951])).
% 136.72/87.40 tff(34959,assumption,(~v124(constB143, bitIndex0)), introduced(assumption)).
% 136.72/87.40 tff(34960,assumption,(~v113(constB143)), introduced(assumption)).
% 136.72/87.40 tff(34961,assumption,(~v115(constB143)), introduced(assumption)).
% 136.72/87.40 tff(34962,assumption,(~v116(constB143)), introduced(assumption)).
% 136.72/87.40 tff(34963,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB143) | (~b001(bitIndex0)) | v113(constB143) | v118(constB143) | v172(constB143) | v116(constB143) | v115(constB143) | v124(constB143, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB143) | (~b001(bitIndex0)) | v113(constB143) | v118(constB143) | v172(constB143) | v116(constB143) | v115(constB143) | v124(constB143, bitIndex0))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34964,plain,
% 136.72/87.40 ((v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v145(constB143) | (~b001(bitIndex0)) | v113(constB143) | v118(constB143) | v172(constB143) | v116(constB143) | v115(constB143) | v124(constB143, bitIndex0))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34965,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v145(constB143) | (~b001(bitIndex0)) | v113(constB143) | v118(constB143) | v172(constB143) | v116(constB143) | v115(constB143) | v124(constB143, bitIndex0)))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34964])).
% 136.72/87.40 tff(34966,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB143) | (~b001(bitIndex0)) | v113(constB143) | v118(constB143) | v172(constB143) | v116(constB143) | v115(constB143) | v124(constB143, bitIndex0))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34965, 34963])).
% 136.72/87.40 tff(34967,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB143) | v145(constB143) | v115(constB143) | v116(constB143) | v172(constB143) | v118(constB143) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b001(bitIndex0)))),
% 136.72/87.40 inference(quant_inst,[status(thm)],[])).
% 136.72/87.40 tff(34968,plain,
% 136.72/87.40 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v145(constB143) | (~b001(bitIndex0)) | v113(constB143) | v118(constB143) | v172(constB143) | v116(constB143) | v115(constB143) | v124(constB143, bitIndex0)),
% 136.72/87.40 inference(modus_ponens,[status(thm)],[34967, 34966])).
% 136.72/87.40 tff(34969,plain,
% 136.72/87.40 (v118(constB143)),
% 136.72/87.40 inference(unit_resolution,[status(thm)],[34968, 1213, 1210, 795, 34475, 34959, 34808, 34962, 34961, 34960])).
% 136.72/87.40 tff(34970,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB143)) | v124(constB143, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB143)) | v124(constB143, bitIndex0))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34971,plain,
% 136.72/87.40 (((~v118(constB143)) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB143)) | v124(constB143, bitIndex0))),
% 136.72/87.40 inference(rewrite,[status(thm)],[])).
% 136.72/87.40 tff(34972,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB143)) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB143)) | v124(constB143, bitIndex0)))),
% 136.72/87.40 inference(monotonicity,[status(thm)],[34971])).
% 136.72/87.40 tff(34973,plain,
% 136.72/87.40 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB143)) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB143)) | v124(constB143, bitIndex0))),
% 136.72/87.40 inference(transitivity,[status(thm)],[34972, 34970])).
% 136.72/87.41 tff(34974,plain,
% 136.72/87.41 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB143)) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b011(bitIndex0)))),
% 136.72/87.41 inference(quant_inst,[status(thm)],[])).
% 136.72/87.41 tff(34975,plain,
% 136.72/87.41 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v118(constB143)) | v124(constB143, bitIndex0)),
% 136.72/87.41 inference(modus_ponens,[status(thm)],[34974, 34973])).
% 136.72/87.41 tff(34976,plain,
% 136.72/87.41 ($false),
% 136.72/87.41 inference(unit_resolution,[status(thm)],[34975, 1148, 1145, 795, 34969, 34959])).
% 136.72/87.41 tff(34977,plain,(v124(constB143, bitIndex0) | v145(constB143) | v172(constB143) | v116(constB143) | v115(constB143) | v113(constB143)), inference(lemma,lemma(discharge,[]))).
% 136.72/87.41 tff(34978,plain,
% 136.72/87.41 (v115(constB143)),
% 136.72/87.41 inference(unit_resolution,[status(thm)],[34977, 34958, 34475, 34904, 34903, 34898])).
% 136.72/87.41 tff(34979,plain,
% 136.72/87.41 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB143)) | v124(constB143, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB143)) | v124(constB143, bitIndex0))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(34980,plain,
% 136.76/87.41 (((~v115(constB143)) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB143)) | v124(constB143, bitIndex0))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(34981,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB143)) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB143)) | v124(constB143, bitIndex0)))),
% 136.76/87.41 inference(monotonicity,[status(thm)],[34980])).
% 136.76/87.41 tff(34982,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB143)) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB143)) | v124(constB143, bitIndex0))),
% 136.76/87.41 inference(transitivity,[status(thm)],[34981, 34979])).
% 136.76/87.41 tff(34983,plain,
% 136.76/87.41 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB143)) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~b011(bitIndex0)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(34984,plain,
% 136.76/87.41 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~b011(bitIndex0)) | (~v115(constB143)) | v124(constB143, bitIndex0)),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[34983, 34982])).
% 136.76/87.41 tff(34985,plain,
% 136.76/87.41 ($false),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34984, 1148, 1193, 795, 34958, 34978])).
% 136.76/87.41 tff(34986,plain,(v84(constB143, bitIndex0) | v145(constB143) | v84(constB144, bitIndex0) | (~v84(constB143, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.41 tff(34987,plain,
% 136.76/87.41 (v84(constB143, bitIndex0)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34986, 34882, 34425, 34721])).
% 136.76/87.41 tff(34988,plain,
% 136.76/87.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB143, bitIndex0)) | (~v115(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB143, bitIndex0)) | (~v115(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(34989,plain,
% 136.76/87.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB143, bitIndex0)) | (~v115(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(34990,plain,
% 136.76/87.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB143, bitIndex0)) | (~v115(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[34989, 34988])).
% 136.76/87.41 tff(34991,plain,
% 136.76/87.41 (~v115(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34990, 3011, 34987])).
% 136.76/87.41 tff(34992,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB143) | v115(constB143) | (~v111(constB143)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB143) | v115(constB143) | (~v111(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(34993,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB143) | v115(constB143) | (~v111(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(34994,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB143) | v115(constB143) | (~v111(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[34993, 34992])).
% 136.76/87.41 tff(34995,plain,
% 136.76/87.41 (~v111(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34994, 2911, 34991, 34894])).
% 136.76/87.41 tff(34996,plain,
% 136.76/87.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB143, bitIndex0)) | (~v119(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB143, bitIndex0)) | (~v119(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(34997,plain,
% 136.76/87.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB143, bitIndex0)) | (~v119(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(34998,plain,
% 136.76/87.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB143, bitIndex0)) | (~v119(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[34997, 34996])).
% 136.76/87.41 tff(34999,plain,
% 136.76/87.41 (~v119(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34998, 3173, 34987])).
% 136.76/87.41 tff(35000,plain,
% 136.76/87.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v94(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v94(constB144)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35001,plain,
% 136.76/87.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB143, constB144)) | v104(constB144) | (~v94(constB144)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35002,plain,
% 136.76/87.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB143, constB144)) | v104(constB144) | (~v94(constB144))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35001, 35000])).
% 136.76/87.41 tff(35003,plain,
% 136.76/87.41 (v104(constB144) | (~v94(constB144))),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35002, 3113, 34430])).
% 136.76/87.41 tff(35004,plain,
% 136.76/87.41 (v104(constB144)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35003, 34680])).
% 136.76/87.41 tff(35005,plain,
% 136.76/87.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB143, constB144)) | (~v104(constB144)) | v102(constB143))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB143, constB144)) | (~v104(constB144)) | v102(constB143))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35006,plain,
% 136.76/87.41 (((~nextState(constB143, constB144)) | v102(constB143) | (~v104(constB144))) <=> ((~nextState(constB143, constB144)) | (~v104(constB144)) | v102(constB143))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35007,plain,
% 136.76/87.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB143, constB144)) | v102(constB143) | (~v104(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB143, constB144)) | (~v104(constB144)) | v102(constB143)))),
% 136.76/87.41 inference(monotonicity,[status(thm)],[35006])).
% 136.76/87.41 tff(35008,plain,
% 136.76/87.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB143, constB144)) | v102(constB143) | (~v104(constB144)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB143, constB144)) | (~v104(constB144)) | v102(constB143))),
% 136.76/87.41 inference(transitivity,[status(thm)],[35007, 35005])).
% 136.76/87.41 tff(35009,plain,
% 136.76/87.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB143, constB144)) | v102(constB143) | (~v104(constB144)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35010,plain,
% 136.76/87.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB143, constB144)) | (~v104(constB144)) | v102(constB143)),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35009, 35008])).
% 136.76/87.41 tff(35011,plain,
% 136.76/87.41 ((~v104(constB144)) | v102(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35010, 3128, 34430])).
% 136.76/87.41 tff(35012,plain,
% 136.76/87.41 (v102(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35011, 35004])).
% 136.76/87.41 tff(35013,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB143)) | v26(constB143) | v106(constB143))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB143)) | v26(constB143) | v106(constB143))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35014,plain,
% 136.76/87.41 ((v26(constB143) | v106(constB143) | (~v102(constB143))) <=> ((~v102(constB143)) | v26(constB143) | v106(constB143))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35015,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB143) | v106(constB143) | (~v102(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB143)) | v26(constB143) | v106(constB143)))),
% 136.76/87.41 inference(monotonicity,[status(thm)],[35014])).
% 136.76/87.41 tff(35016,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB143) | v106(constB143) | (~v102(constB143)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB143)) | v26(constB143) | v106(constB143))),
% 136.76/87.41 inference(transitivity,[status(thm)],[35015, 35013])).
% 136.76/87.41 tff(35017,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB143) | v106(constB143) | (~v102(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35018,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB143)) | v26(constB143) | v106(constB143)),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35017, 35016])).
% 136.76/87.41 tff(35019,plain,
% 136.76/87.41 ((~v102(constB143)) | v106(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35018, 3146, 34666])).
% 136.76/87.41 tff(35020,plain,
% 136.76/87.41 (v106(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35019, 35012])).
% 136.76/87.41 tff(35021,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB143) | (~v106(constB143)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB143) | (~v106(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35022,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB143) | (~v106(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35023,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB143) | (~v106(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35022, 35021])).
% 136.76/87.41 tff(35024,plain,
% 136.76/87.41 (v107(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35023, 3161, 35020])).
% 136.76/87.41 tff(35025,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB143) | v119(constB143) | (~v107(constB143)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB143) | v119(constB143) | (~v107(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35026,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB143) | v119(constB143) | (~v107(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35027,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB143) | v119(constB143) | (~v107(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35026, 35025])).
% 136.76/87.41 tff(35028,plain,
% 136.76/87.41 (v108(constB143) | v119(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35027, 3195, 35024])).
% 136.76/87.41 tff(35029,plain,
% 136.76/87.41 (v108(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35028, 34999])).
% 136.76/87.41 tff(35030,plain,
% 136.76/87.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB143, bitIndex1)) | (~v118(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB143, bitIndex1)) | (~v118(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35031,plain,
% 136.76/87.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB143, bitIndex1)) | (~v118(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35032,plain,
% 136.76/87.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB143, bitIndex1)) | (~v118(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35031, 35030])).
% 136.76/87.41 tff(35033,plain,
% 136.76/87.41 (~v118(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35032, 2842, 34882])).
% 136.76/87.41 tff(35034,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB143) | v118(constB143) | (~v108(constB143)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB143) | v118(constB143) | (~v108(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35035,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB143) | v118(constB143) | (~v108(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35036,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB143) | v118(constB143) | (~v108(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35035, 35034])).
% 136.76/87.41 tff(35037,plain,
% 136.76/87.41 (v109(constB143) | (~v108(constB143))),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35036, 2856, 35033])).
% 136.76/87.41 tff(35038,plain,
% 136.76/87.41 (v109(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35037, 35029])).
% 136.76/87.41 tff(35039,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB143)) | v172(constB143) | v110(constB143))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB143)) | v172(constB143) | v110(constB143))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35040,plain,
% 136.76/87.41 ((v110(constB143) | (~v109(constB143)) | v172(constB143)) <=> ((~v109(constB143)) | v172(constB143) | v110(constB143))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35041,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB143) | (~v109(constB143)) | v172(constB143))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB143)) | v172(constB143) | v110(constB143)))),
% 136.76/87.41 inference(monotonicity,[status(thm)],[35040])).
% 136.76/87.41 tff(35042,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB143) | (~v109(constB143)) | v172(constB143))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB143)) | v172(constB143) | v110(constB143))),
% 136.76/87.41 inference(transitivity,[status(thm)],[35041, 35039])).
% 136.76/87.41 tff(35043,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB143) | (~v109(constB143)) | v172(constB143))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35044,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB143)) | v172(constB143) | v110(constB143)),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35043, 35042])).
% 136.76/87.41 tff(35045,plain,
% 136.76/87.41 ((~v109(constB143)) | v110(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35044, 2871, 34731])).
% 136.76/87.41 tff(35046,plain,
% 136.76/87.41 (v110(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35045, 35038])).
% 136.76/87.41 tff(35047,plain,
% 136.76/87.41 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB143) | v116(constB143) | (~v110(constB143)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB143) | v116(constB143) | (~v110(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35048,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB143) | v116(constB143) | (~v110(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35049,plain,
% 136.76/87.41 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB143) | v116(constB143) | (~v110(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35048, 35047])).
% 136.76/87.41 tff(35050,plain,
% 136.76/87.41 (v116(constB143)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35049, 2932, 35046, 34995])).
% 136.76/87.41 tff(35051,plain,
% 136.76/87.41 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v116(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB143, bitIndex2)) | (~v116(constB143)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35052,plain,
% 136.76/87.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v116(constB143)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35053,plain,
% 136.76/87.41 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB143, bitIndex2)) | (~v116(constB143))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35052, 35051])).
% 136.76/87.41 tff(35054,plain,
% 136.76/87.41 (~v84(constB143, bitIndex2)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35053, 1130, 35050])).
% 136.76/87.41 tff(35055,plain,
% 136.76/87.41 (~v84(constB142, bitIndex2)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34423, 35054])).
% 136.76/87.41 tff(35056,plain,
% 136.76/87.41 (v94(constB142)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34415, 35055])).
% 136.76/87.41 tff(35057,plain,
% 136.76/87.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB142, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB142, bitIndex1))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35058,plain,
% 136.76/87.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB142, bitIndex1))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35059,plain,
% 136.76/87.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB142, constB143)) | v94(constB143) | (~less_3(bitIndex1)) | (~v84(constB143, bitIndex1)) | v84(constB142, bitIndex1)),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35058, 35057])).
% 136.76/87.41 tff(35060,plain,
% 136.76/87.41 ($false),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35059, 805, 823, 34248, 34260, 34230, 34899])).
% 136.76/87.41 tff(35061,plain,((~v84(constB143, bitIndex1)) | v84(constB142, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.41 tff(35062,plain,
% 136.76/87.41 (v84(constB142, bitIndex1)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35061, 34882])).
% 136.76/87.41 tff(35063,plain,
% 136.76/87.41 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB142)) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB142)) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35064,plain,
% 136.76/87.41 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB142)) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35065,plain,
% 136.76/87.41 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB142)) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1)),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35064, 35063])).
% 136.76/87.41 tff(35066,plain,
% 136.76/87.41 ((~v94(constB142)) | v123(constB142, bitIndex1)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35065, 1344, 823, 35062])).
% 136.76/87.41 tff(35067,plain,
% 136.76/87.41 (v123(constB142, bitIndex1)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35066, 35056])).
% 136.76/87.41 tff(35068,assumption,(v123(constB142, bitIndex1)), introduced(assumption)).
% 136.76/87.41 tff(35069,assumption,(~v121(constB141, bitIndex1)), introduced(assumption)).
% 136.76/87.41 tff(35070,plain,
% 136.76/87.41 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v121(constB141, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v121(constB141, bitIndex1))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35071,plain,
% 136.76/87.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB141, constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v121(constB141, bitIndex1))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35072,plain,
% 136.76/87.41 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB141, constB142)) | (~less_3(bitIndex1)) | (~v123(constB142, bitIndex1)) | v121(constB141, bitIndex1)),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35071, 35070])).
% 136.76/87.41 tff(35073,plain,
% 136.76/87.41 ($false),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35072, 1362, 823, 34215, 35069, 35068])).
% 136.76/87.41 tff(35074,plain,((~v123(constB142, bitIndex1)) | v121(constB141, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.41 tff(35075,plain,
% 136.76/87.41 (v121(constB141, bitIndex1)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35074, 35067])).
% 136.76/87.41 tff(35076,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex1)) | (~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex1)) | (~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35077,plain,
% 136.76/87.41 ((v26(constB141) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1))) <=> (v26(constB141) | (~less_3(bitIndex1)) | (~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35078,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex1)) | (~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1)))),
% 136.76/87.41 inference(monotonicity,[status(thm)],[35077])).
% 136.76/87.41 tff(35079,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex1)) | (~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1))),
% 136.76/87.41 inference(transitivity,[status(thm)],[35078, 35076])).
% 136.76/87.41 tff(35080,plain,
% 136.76/87.41 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB141) | (~less_3(bitIndex1)) | v124(constB141, bitIndex1) | (~v121(constB141, bitIndex1)))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35081,plain,
% 136.76/87.41 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB141) | (~less_3(bitIndex1)) | (~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1)),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35080, 35079])).
% 136.76/87.41 tff(35082,plain,
% 136.76/87.41 (v124(constB141, bitIndex1)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35081, 1380, 823, 34204, 35075])).
% 136.76/87.41 tff(35083,plain,
% 136.76/87.41 (v84(constB142, bitIndex0)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34825, 34987])).
% 136.76/87.41 tff(35084,assumption,(~v123(constB142, bitIndex0)), introduced(assumption)).
% 136.76/87.41 tff(35085,plain,
% 136.76/87.41 ($false),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34850, 1344, 795, 34512, 34505, 35084])).
% 136.76/87.41 tff(35086,plain,((~v84(constB142, bitIndex0)) | (~v94(constB142)) | v123(constB142, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.41 tff(35087,plain,
% 136.76/87.41 (v123(constB142, bitIndex0)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35086, 35056, 35083])).
% 136.76/87.41 tff(35088,plain,
% 136.76/87.41 (v121(constB141, bitIndex0)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34855, 1362, 795, 34215, 35087])).
% 136.76/87.41 tff(35089,plain,
% 136.76/87.41 (v124(constB141, bitIndex0)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34859, 1380, 795, 34204, 35088])).
% 136.76/87.41 tff(35090,plain,
% 136.76/87.41 (~v116(constB141)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[34866, 2386, 2164, 795, 35089])).
% 136.76/87.41 tff(35091,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35092,plain,
% 136.76/87.41 (((~v172(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35093,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB141)) | (~v124(constB141, bitIndex0))))),
% 136.76/87.41 inference(monotonicity,[status(thm)],[35092])).
% 136.76/87.41 tff(35094,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.76/87.41 inference(transitivity,[status(thm)],[35093, 35091])).
% 136.76/87.41 tff(35095,plain,
% 136.76/87.41 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b110(bitIndex0))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35096,plain,
% 136.76/87.41 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB141)) | (~v124(constB141, bitIndex0))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35095, 35094])).
% 136.76/87.41 tff(35097,plain,
% 136.76/87.41 (~v172(constB141)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35096, 1997, 1994, 795, 35089])).
% 136.76/87.41 tff(35098,assumption,(v124(constB141, bitIndex1)), introduced(assumption)).
% 136.76/87.41 tff(35099,assumption,(v113(constB141)), introduced(assumption)).
% 136.76/87.41 tff(35100,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB141)) | (~v124(constB141, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB141)) | (~v124(constB141, bitIndex1)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35101,plain,
% 136.76/87.41 (((~v113(constB141)) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB141)) | (~v124(constB141, bitIndex1)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35102,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB141)) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB141)) | (~v124(constB141, bitIndex1))))),
% 136.76/87.41 inference(monotonicity,[status(thm)],[35101])).
% 136.76/87.41 tff(35103,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB141)) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB141)) | (~v124(constB141, bitIndex1)))),
% 136.76/87.41 inference(transitivity,[status(thm)],[35102, 35100])).
% 136.76/87.41 tff(35104,plain,
% 136.76/87.41 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB141)) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | b100(bitIndex1))),
% 136.76/87.41 inference(quant_inst,[status(thm)],[])).
% 136.76/87.41 tff(35105,plain,
% 136.76/87.41 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB141)) | (~v124(constB141, bitIndex1))),
% 136.76/87.41 inference(modus_ponens,[status(thm)],[35104, 35103])).
% 136.76/87.41 tff(35106,plain,
% 136.76/87.41 ($false),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35105, 2167, 2186, 823, 35099, 35098])).
% 136.76/87.41 tff(35107,plain,((~v124(constB141, bitIndex1)) | (~v113(constB141))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.41 tff(35108,plain,
% 136.76/87.41 (~v113(constB141)),
% 136.76/87.41 inference(unit_resolution,[status(thm)],[35107, 35082])).
% 136.76/87.41 tff(35109,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35110,plain,
% 136.76/87.41 (((~v145(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.76/87.41 inference(rewrite,[status(thm)],[])).
% 136.76/87.41 tff(35111,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB141)) | (~v124(constB141, bitIndex0))))),
% 136.76/87.41 inference(monotonicity,[status(thm)],[35110])).
% 136.76/87.41 tff(35112,plain,
% 136.76/87.41 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35111, 35109])).
% 136.76/87.42 tff(35113,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b010(bitIndex0))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35114,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB141)) | (~v124(constB141, bitIndex0))),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35113, 35112])).
% 136.76/87.42 tff(35115,plain,
% 136.76/87.42 (~v145(constB141)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35114, 2299, 1416, 795, 35089])).
% 136.76/87.42 tff(35116,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35117,plain,
% 136.76/87.42 ((v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35118,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex1))))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35117])).
% 136.76/87.42 tff(35119,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex1)))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35118, 35116])).
% 136.76/87.42 tff(35120,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB141) | v145(constB141) | v115(constB141) | v116(constB141) | v172(constB141) | v118(constB141) | (~less_3(bitIndex1)) | (~v124(constB141, bitIndex1)) | b001(bitIndex1))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35121,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB141) | v113(constB141) | v118(constB141) | v172(constB141) | v116(constB141) | v115(constB141) | (~v124(constB141, bitIndex1))),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35120, 35119])).
% 136.76/87.42 tff(35122,plain,
% 136.76/87.42 (v115(constB141)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35121, 2601, 2424, 823, 35115, 35108, 35097, 34182, 35090, 35082])).
% 136.76/87.42 tff(35123,plain,
% 136.76/87.42 (~v84(constB141, bitIndex0)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[34050, 3011, 35122])).
% 136.76/87.42 tff(35124,plain,
% 136.76/87.42 (~v84(constB140, bitIndex0)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[34044, 777, 795, 33502, 33514, 35123])).
% 136.76/87.42 tff(35125,plain,
% 136.76/87.42 (v84(constB141, bitIndex1) | v145(constB141) | v113(constB141) | v172(constB141)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[34413, 34182])).
% 136.76/87.42 tff(35126,plain,
% 136.76/87.42 (v84(constB141, bitIndex1)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35125, 35115, 35097, 35108])).
% 136.76/87.42 tff(35127,plain,
% 136.76/87.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35128,plain,
% 136.76/87.42 (((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB140, bitIndex1)) <=> ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35129,plain,
% 136.76/87.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB140, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1))))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35128])).
% 136.76/87.42 tff(35130,plain,
% 136.76/87.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB140, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1)))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35129, 35127])).
% 136.76/87.42 tff(35131,plain,
% 136.76/87.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | (~v84(constB141, bitIndex1)) | v84(constB140, bitIndex1))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35132,plain,
% 136.76/87.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB140, constB141)) | v94(constB141) | (~less_3(bitIndex1)) | v84(constB140, bitIndex1) | (~v84(constB141, bitIndex1))),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35131, 35130])).
% 136.76/87.42 tff(35133,plain,
% 136.76/87.42 ($false),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35132, 805, 823, 33502, 33514, 34229, 33524])).
% 136.76/87.42 tff(35134,plain,((~v84(constB141, bitIndex1)) | v84(constB140, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.42 tff(35135,plain,
% 136.76/87.42 (v84(constB140, bitIndex1)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35134, 35126])).
% 136.76/87.42 tff(35136,plain,
% 136.76/87.42 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v115(constB141)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB141, bitIndex2)) | (~v115(constB141)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35137,plain,
% 136.76/87.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB141, bitIndex2)) | (~v115(constB141)))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35138,plain,
% 136.76/87.42 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB141, bitIndex2)) | (~v115(constB141))),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35137, 35136])).
% 136.76/87.42 tff(35139,plain,
% 136.76/87.42 (~v84(constB141, bitIndex2)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35138, 2665, 35122])).
% 136.76/87.42 tff(35140,plain,
% 136.76/87.42 (~v84(constB140, bitIndex2)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[33760, 777, 767, 33502, 33514, 35139])).
% 136.76/87.42 tff(35141,plain,
% 136.76/87.42 (v94(constB140) | (~v84(constB140, bitIndex1)) | v84(constB140, bitIndex2)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[33625, 33731])).
% 136.76/87.42 tff(35142,plain,
% 136.76/87.42 (v94(constB140)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35141, 35140, 35135])).
% 136.76/87.42 tff(35143,plain,
% 136.76/87.42 (~v123(constB140, bitIndex0)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[34777, 1674, 795, 35142, 35124])).
% 136.76/87.42 tff(35144,plain,
% 136.76/87.42 (~v121(constB139, bitIndex0)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[34787, 1708, 795, 33528, 35143])).
% 136.76/87.42 tff(35145,plain,
% 136.76/87.42 (~v124(constB139, bitIndex0)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[33859, 1728, 795, 33731, 35144])).
% 136.76/87.42 tff(35146,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35147,plain,
% 136.76/87.42 (((~v115(constB139)) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35148,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB139)) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0)))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35147])).
% 136.76/87.42 tff(35149,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB139)) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35148, 35146])).
% 136.76/87.42 tff(35150,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB139)) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b011(bitIndex0)))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35151,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0)),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35150, 35149])).
% 136.76/87.42 tff(35152,plain,
% 136.76/87.42 (~v115(constB139)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35151, 1148, 1193, 795, 35145])).
% 136.76/87.42 tff(35153,plain,
% 136.76/87.42 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB140)) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB140)) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35154,plain,
% 136.76/87.42 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB140)) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35155,plain,
% 136.76/87.42 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB140)) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1)),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35154, 35153])).
% 136.76/87.42 tff(35156,plain,
% 136.76/87.42 ((~v94(constB140)) | v123(constB140, bitIndex1)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35155, 1344, 823, 35135])).
% 136.76/87.42 tff(35157,plain,
% 136.76/87.42 (v123(constB140, bitIndex1)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35156, 35142])).
% 136.76/87.42 tff(35158,plain,
% 136.76/87.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex1)) | (~v123(constB140, bitIndex1)) | v121(constB139, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex1)) | (~v123(constB140, bitIndex1)) | v121(constB139, bitIndex1))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35159,plain,
% 136.76/87.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB139, constB140)) | (~less_3(bitIndex1)) | (~v123(constB140, bitIndex1)) | v121(constB139, bitIndex1))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35160,plain,
% 136.76/87.42 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB139, constB140)) | (~less_3(bitIndex1)) | (~v123(constB140, bitIndex1)) | v121(constB139, bitIndex1)),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35159, 35158])).
% 136.76/87.42 tff(35161,plain,
% 136.76/87.42 (v121(constB139, bitIndex1)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35160, 1362, 823, 33528, 35157])).
% 136.76/87.42 tff(35162,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex1)) | (~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex1)) | (~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35163,plain,
% 136.76/87.42 ((v26(constB139) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1))) <=> (v26(constB139) | (~less_3(bitIndex1)) | (~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35164,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex1)) | (~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35163])).
% 136.76/87.42 tff(35165,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex1)) | (~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35164, 35162])).
% 136.76/87.42 tff(35166,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB139) | (~less_3(bitIndex1)) | v124(constB139, bitIndex1) | (~v121(constB139, bitIndex1)))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35167,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB139) | (~less_3(bitIndex1)) | (~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1)),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35166, 35165])).
% 136.76/87.42 tff(35168,plain,
% 136.76/87.42 (v124(constB139, bitIndex1)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35167, 1380, 823, 33731, 35161])).
% 136.76/87.42 tff(35169,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB139)) | (~v124(constB139, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB139)) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35170,plain,
% 136.76/87.42 (((~v116(constB139)) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB139)) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35171,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB139)) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB139)) | (~v124(constB139, bitIndex1))))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35170])).
% 136.76/87.42 tff(35172,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB139)) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB139)) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35171, 35169])).
% 136.76/87.42 tff(35173,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB139)) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b100(bitIndex1))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35174,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB139)) | (~v124(constB139, bitIndex1))),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35173, 35172])).
% 136.76/87.42 tff(35175,plain,
% 136.76/87.42 (~v116(constB139)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35174, 2167, 2164, 823, 35168])).
% 136.76/87.42 tff(35176,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB139)) | (~v124(constB139, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB139)) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35177,plain,
% 136.76/87.42 (((~v113(constB139)) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB139)) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35178,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB139)) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB139)) | (~v124(constB139, bitIndex1))))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35177])).
% 136.76/87.42 tff(35179,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB139)) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB139)) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35178, 35176])).
% 136.76/87.42 tff(35180,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB139)) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b100(bitIndex1))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35181,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB139)) | (~v124(constB139, bitIndex1))),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35180, 35179])).
% 136.76/87.42 tff(35182,plain,
% 136.76/87.42 (~v113(constB139)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35181, 2167, 2186, 823, 35168])).
% 136.76/87.42 tff(35183,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35184,plain,
% 136.76/87.42 (((~v118(constB139)) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35185,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB139)) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0)))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35184])).
% 136.76/87.42 tff(35186,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB139)) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35185, 35183])).
% 136.76/87.42 tff(35187,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB139)) | (~less_3(bitIndex0)) | v124(constB139, bitIndex0) | (~b011(bitIndex0)))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35188,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB139)) | (~b011(bitIndex0)) | v124(constB139, bitIndex0)),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35187, 35186])).
% 136.76/87.42 tff(35189,plain,
% 136.76/87.42 (~v118(constB139)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35188, 1148, 1145, 795, 35145])).
% 136.76/87.42 tff(35190,plain,
% 136.76/87.42 (~v123(constB140, bitIndex2)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[33806, 1674, 767, 35142, 35140])).
% 136.76/87.42 tff(35191,plain,
% 136.76/87.42 (~v121(constB139, bitIndex2)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[33815, 1708, 767, 33528, 35190])).
% 136.76/87.42 tff(35192,plain,
% 136.76/87.42 (~v124(constB139, bitIndex2)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[33825, 1728, 767, 33731, 35191])).
% 136.76/87.42 tff(35193,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~v172(constB139)) | (~b110(bitIndex2)) | v124(constB139, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB139)) | (~b110(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35194,plain,
% 136.76/87.42 (((~v172(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~v172(constB139)) | (~b110(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35195,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~v172(constB139)) | (~b110(bitIndex2)) | v124(constB139, bitIndex2)))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35194])).
% 136.76/87.42 tff(35196,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB139)) | (~b110(bitIndex2)) | v124(constB139, bitIndex2))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35195, 35193])).
% 136.76/87.42 tff(35197,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB139)) | (~less_3(bitIndex2)) | v124(constB139, bitIndex2) | (~b110(bitIndex2)))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35198,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~v172(constB139)) | (~b110(bitIndex2)) | v124(constB139, bitIndex2)),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35197, 35196])).
% 136.76/87.42 tff(35199,plain,
% 136.76/87.42 (~v172(constB139)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35198, 2066, 1798, 767, 35192])).
% 136.76/87.42 tff(35200,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35201,plain,
% 136.76/87.42 ((v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35202,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex1))))),
% 136.76/87.42 inference(monotonicity,[status(thm)],[35201])).
% 136.76/87.42 tff(35203,plain,
% 136.76/87.42 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex1)))),
% 136.76/87.42 inference(transitivity,[status(thm)],[35202, 35200])).
% 136.76/87.42 tff(35204,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB139) | v145(constB139) | v115(constB139) | v116(constB139) | v172(constB139) | v118(constB139) | (~less_3(bitIndex1)) | (~v124(constB139, bitIndex1)) | b001(bitIndex1))),
% 136.76/87.42 inference(quant_inst,[status(thm)],[])).
% 136.76/87.42 tff(35205,plain,
% 136.76/87.42 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v145(constB139) | v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139) | (~v124(constB139, bitIndex1))),
% 136.76/87.42 inference(modus_ponens,[status(thm)],[35204, 35203])).
% 136.76/87.42 tff(35206,plain,
% 136.76/87.42 (v118(constB139) | v172(constB139) | v116(constB139) | v115(constB139) | v113(constB139)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35205, 2601, 2424, 823, 1, 35168])).
% 136.76/87.42 tff(35207,plain,
% 136.76/87.42 ($false),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35206, 35199, 35189, 35182, 35175, 35152])).
% 136.76/87.42 tff(35208,plain,(v84(constB144, bitIndex1) | v145(constB139) | v84(constB144, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.42 tff(35209,plain,
% 136.76/87.42 (v84(constB144, bitIndex1)),
% 136.76/87.42 inference(unit_resolution,[status(thm)],[35208, 34425, 1])).
% 136.76/87.42 tff(35210,plain,
% 136.76/87.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB144, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB144, bitIndex0))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35211,plain,
% 136.76/87.42 (((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v84(constB143, bitIndex0))) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB144, bitIndex0))),
% 136.76/87.42 inference(rewrite,[status(thm)],[])).
% 136.76/87.42 tff(35212,plain,
% 136.76/87.42 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v84(constB143, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB144, bitIndex0)))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35211])).
% 136.76/87.43 tff(35213,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v84(constB143, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB144, bitIndex0))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35212, 35210])).
% 136.76/87.43 tff(35214,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB144, bitIndex0) | (~v84(constB143, bitIndex0)))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35215,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB143, bitIndex0)) | v84(constB144, bitIndex0)),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35214, 35213])).
% 136.76/87.43 tff(35216,plain,
% 136.76/87.43 ($false),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35215, 777, 795, 34430, 34427, 34425, 34468])).
% 136.76/87.43 tff(35217,plain,(v84(constB144, bitIndex0) | v94(constB144) | (~v84(constB143, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.43 tff(35218,plain,
% 136.76/87.43 (~v84(constB143, bitIndex0)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35217, 34427, 34425])).
% 136.76/87.43 tff(35219,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB143)) | v84(constB143, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB143)) | v84(constB143, bitIndex0))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35220,plain,
% 136.76/87.43 ((v84(constB143, bitIndex0) | (~v145(constB143))) <=> ((~v145(constB143)) | v84(constB143, bitIndex0))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35221,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB143, bitIndex0) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB143)) | v84(constB143, bitIndex0)))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35220])).
% 136.76/87.43 tff(35222,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB143, bitIndex0) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB143)) | v84(constB143, bitIndex0))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35221, 35219])).
% 136.76/87.43 tff(35223,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB143, bitIndex0) | (~v145(constB143)))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35224,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB143)) | v84(constB143, bitIndex0)),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35223, 35222])).
% 136.76/87.43 tff(35225,plain,
% 136.76/87.43 ($false),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35224, 788, 34712, 34504])).
% 136.76/87.43 tff(35226,plain,((~v145(constB143)) | v84(constB143, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.43 tff(35227,plain,
% 136.76/87.43 (~v145(constB143)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35226, 35218])).
% 136.76/87.43 tff(35228,assumption,(v84(constB144, bitIndex1)), introduced(assumption)).
% 136.76/87.43 tff(35229,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB144, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB144, bitIndex1)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35230,plain,
% 136.76/87.43 (((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB144, bitIndex1)) | v84(constB143, bitIndex1)) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB144, bitIndex1)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35231,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB144, bitIndex1)) | v84(constB143, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB144, bitIndex1))))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35230])).
% 136.76/87.43 tff(35232,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB144, bitIndex1)) | v84(constB143, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB144, bitIndex1)))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35231, 35229])).
% 136.76/87.43 tff(35233,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | (~v84(constB144, bitIndex1)) | v84(constB143, bitIndex1))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35234,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex1)) | v84(constB143, bitIndex1) | (~v84(constB144, bitIndex1))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35233, 35232])).
% 136.76/87.43 tff(35235,plain,
% 136.76/87.43 (v94(constB144) | v84(constB143, bitIndex1)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35234, 805, 823, 34430, 35228])).
% 136.76/87.43 tff(35236,plain,
% 136.76/87.43 (v84(constB143, bitIndex1)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35235, 34427])).
% 136.76/87.43 tff(35237,plain,
% 136.76/87.43 ($false),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34986, 35236, 35218, 34425, 35227])).
% 136.76/87.43 tff(35238,plain,(v94(constB144) | v84(constB144, bitIndex0) | (~v84(constB144, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.43 tff(35239,plain,
% 136.76/87.43 (v94(constB144)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35238, 34425, 35209])).
% 136.76/87.43 tff(35240,plain,
% 136.76/87.43 (~v123(constB144, bitIndex0)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34945, 1674, 795, 35239, 34425])).
% 136.76/87.43 tff(35241,plain,
% 136.76/87.43 (~v121(constB143, bitIndex0)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34950, 1708, 795, 34430, 35240])).
% 136.76/87.43 tff(35242,plain,
% 136.76/87.43 (~v124(constB143, bitIndex0)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34957, 1728, 795, 34666, 35241])).
% 136.76/87.43 tff(35243,plain,
% 136.76/87.43 (~v115(constB143)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34984, 1148, 1193, 795, 35242])).
% 136.76/87.43 tff(35244,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB144)) | (~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB144)) | (~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35245,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB144)) | (~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35246,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB144)) | (~v84(constB144, bitIndex1)) | v123(constB144, bitIndex1)),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35245, 35244])).
% 136.76/87.43 tff(35247,plain,
% 136.76/87.43 (v123(constB144, bitIndex1)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35246, 1344, 823, 35239, 35209])).
% 136.76/87.43 tff(35248,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex1)) | (~v123(constB144, bitIndex1)) | v121(constB143, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex1)) | (~v123(constB144, bitIndex1)) | v121(constB143, bitIndex1))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35249,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex1)) | (~v123(constB144, bitIndex1)) | v121(constB143, bitIndex1))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35250,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex1)) | (~v123(constB144, bitIndex1)) | v121(constB143, bitIndex1)),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35249, 35248])).
% 136.76/87.43 tff(35251,plain,
% 136.76/87.43 ($false),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35250, 1362, 823, 34430, 34681, 34700])).
% 136.76/87.43 tff(35252,plain,((~v123(constB144, bitIndex1)) | v121(constB143, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.43 tff(35253,plain,
% 136.76/87.43 (v121(constB143, bitIndex1)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35252, 35247])).
% 136.76/87.43 tff(35254,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex1)) | (~v121(constB143, bitIndex1)) | v124(constB143, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex1)) | (~v121(constB143, bitIndex1)) | v124(constB143, bitIndex1))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35255,plain,
% 136.76/87.43 ((v26(constB143) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~v121(constB143, bitIndex1))) <=> (v26(constB143) | (~less_3(bitIndex1)) | (~v121(constB143, bitIndex1)) | v124(constB143, bitIndex1))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35256,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~v121(constB143, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex1)) | (~v121(constB143, bitIndex1)) | v124(constB143, bitIndex1)))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35255])).
% 136.76/87.43 tff(35257,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~v121(constB143, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex1)) | (~v121(constB143, bitIndex1)) | v124(constB143, bitIndex1))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35256, 35254])).
% 136.76/87.43 tff(35258,plain,
% 136.76/87.43 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex1)) | v124(constB143, bitIndex1) | (~v121(constB143, bitIndex1)))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35259,plain,
% 136.76/87.43 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex1)) | (~v121(constB143, bitIndex1)) | v124(constB143, bitIndex1)),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35258, 35257])).
% 136.76/87.43 tff(35260,plain,
% 136.76/87.43 ($false),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35259, 1380, 823, 34666, 34711, 34693])).
% 136.76/87.43 tff(35261,plain,((~v121(constB143, bitIndex1)) | v124(constB143, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.43 tff(35262,plain,
% 136.76/87.43 (v124(constB143, bitIndex1)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35261, 35253])).
% 136.76/87.43 tff(35263,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB143)) | (~v124(constB143, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB143)) | (~v124(constB143, bitIndex1)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35264,plain,
% 136.76/87.43 (((~v113(constB143)) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB143)) | (~v124(constB143, bitIndex1)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35265,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB143)) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB143)) | (~v124(constB143, bitIndex1))))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35264])).
% 136.76/87.43 tff(35266,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB143)) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB143)) | (~v124(constB143, bitIndex1)))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35265, 35263])).
% 136.76/87.43 tff(35267,plain,
% 136.76/87.43 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB143)) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)) | b100(bitIndex1))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35268,plain,
% 136.76/87.43 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v113(constB143)) | (~v124(constB143, bitIndex1))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35267, 35266])).
% 136.76/87.43 tff(35269,plain,
% 136.76/87.43 (~v113(constB143)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35268, 2167, 2186, 823, 35262])).
% 136.76/87.43 tff(35270,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB143)) | (~v124(constB143, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB143)) | (~v124(constB143, bitIndex1)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35271,plain,
% 136.76/87.43 (((~v116(constB143)) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)) | b100(bitIndex1)) <=> (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB143)) | (~v124(constB143, bitIndex1)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35272,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB143)) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB143)) | (~v124(constB143, bitIndex1))))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35271])).
% 136.76/87.43 tff(35273,plain,
% 136.76/87.43 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB143)) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)) | b100(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB143)) | (~v124(constB143, bitIndex1)))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35272, 35270])).
% 136.76/87.43 tff(35274,plain,
% 136.76/87.43 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB143)) | (~less_3(bitIndex1)) | (~v124(constB143, bitIndex1)) | b100(bitIndex1))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35275,plain,
% 136.76/87.43 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex1) | (~less_3(bitIndex1)) | (~v116(constB143)) | (~v124(constB143, bitIndex1))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35274, 35273])).
% 136.76/87.43 tff(35276,plain,
% 136.76/87.43 (~v116(constB143)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35275, 2167, 2164, 823, 35262])).
% 136.76/87.43 tff(35277,plain,
% 136.76/87.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB143)) | (~v84(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB143)) | (~v84(constB143, bitIndex2)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35278,plain,
% 136.76/87.43 (((~v84(constB143, bitIndex2)) | (~v145(constB143))) <=> ((~v145(constB143)) | (~v84(constB143, bitIndex2)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35279,plain,
% 136.76/87.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB143)) | (~v84(constB143, bitIndex2))))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35278])).
% 136.76/87.43 tff(35280,plain,
% 136.76/87.43 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v145(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB143)) | (~v84(constB143, bitIndex2)))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35279, 35277])).
% 136.76/87.43 tff(35281,plain,
% 136.76/87.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v145(constB143)))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35282,plain,
% 136.76/87.43 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB143)) | (~v84(constB143, bitIndex2))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35281, 35280])).
% 136.76/87.43 tff(35283,plain,
% 136.76/87.43 (~v145(constB143)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35282, 725, 34792])).
% 136.76/87.43 tff(35284,plain,
% 136.76/87.43 ($false),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34977, 34903, 35283, 35242, 35276, 35269, 35243])).
% 136.76/87.43 tff(35285,plain,(v84(constB144, bitIndex0) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)) | v145(constB139)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.43 tff(35286,plain,
% 136.76/87.43 (v84(constB144, bitIndex0)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35285, 34424, 1, 34266])).
% 136.76/87.43 tff(35287,assumption,(v119(constB143)), introduced(assumption)).
% 136.76/87.43 tff(35288,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB143, bitIndex2) | (~v119(constB143)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | v84(constB143, bitIndex2) | (~v119(constB143)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35289,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB143, bitIndex2) | (~v119(constB143)))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35290,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | v84(constB143, bitIndex2) | (~v119(constB143))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35289, 35288])).
% 136.76/87.43 tff(35291,plain,
% 136.76/87.43 (v84(constB143, bitIndex2)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35290, 7833, 35287])).
% 136.76/87.43 tff(35292,plain,
% 136.76/87.43 (v84(constB142, bitIndex2)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34795, 805, 767, 34248, 34260, 35291])).
% 136.76/87.43 tff(35293,plain,
% 136.76/87.43 (v84(constB141, bitIndex2)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34760, 805, 767, 34215, 34231, 35292])).
% 136.76/87.43 tff(35294,plain,
% 136.76/87.43 (~v84(constB143, bitIndex0)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34998, 3173, 35287])).
% 136.76/87.43 tff(35295,plain,
% 136.76/87.43 (~v84(constB142, bitIndex0)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[34508, 777, 795, 34248, 34260, 35294])).
% 136.76/87.43 tff(35296,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB142, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB142, bitIndex0))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35297,plain,
% 136.76/87.43 (((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB142, bitIndex0) | (~v84(constB141, bitIndex0))) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB142, bitIndex0))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35298,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB142, bitIndex0) | (~v84(constB141, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB142, bitIndex0)))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35297])).
% 136.76/87.43 tff(35299,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB142, bitIndex0) | (~v84(constB141, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB142, bitIndex0))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35298, 35296])).
% 136.76/87.43 tff(35300,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB142, bitIndex0) | (~v84(constB141, bitIndex0)))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35301,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB141, bitIndex0)) | v84(constB142, bitIndex0)),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35300, 35299])).
% 136.76/87.43 tff(35302,plain,
% 136.76/87.43 (~v84(constB141, bitIndex0)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35301, 777, 795, 34215, 34231, 35295])).
% 136.76/87.43 tff(35303,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB143, bitIndex1) | (~v119(constB143)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | v84(constB143, bitIndex1) | (~v119(constB143)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35304,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB143, bitIndex1) | (~v119(constB143)))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35305,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | v84(constB143, bitIndex1) | (~v119(constB143))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35304, 35303])).
% 136.76/87.43 tff(35306,plain,
% 136.76/87.43 (v84(constB143, bitIndex1)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35305, 9858, 35287])).
% 136.76/87.43 tff(35307,plain,
% 136.76/87.43 (v84(constB142, bitIndex1)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35059, 805, 823, 34248, 34260, 35306])).
% 136.76/87.43 tff(35308,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB142, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB142, bitIndex1)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35309,plain,
% 136.76/87.43 (((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB142, bitIndex1)) | v84(constB141, bitIndex1)) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB142, bitIndex1)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35310,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB142, bitIndex1)) | v84(constB141, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB142, bitIndex1))))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35309])).
% 136.76/87.43 tff(35311,plain,
% 136.76/87.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB142, bitIndex1)) | v84(constB141, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB142, bitIndex1)))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35310, 35308])).
% 136.76/87.43 tff(35312,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | (~v84(constB142, bitIndex1)) | v84(constB141, bitIndex1))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35313,plain,
% 136.76/87.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex1)) | v84(constB141, bitIndex1) | (~v84(constB142, bitIndex1))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35312, 35311])).
% 136.76/87.43 tff(35314,plain,
% 136.76/87.43 (v84(constB141, bitIndex1)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35313, 805, 823, 34215, 34231, 35307])).
% 136.76/87.43 tff(35315,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB141) | (~v119(constB141)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB141) | (~v119(constB141)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35316,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB141) | (~v119(constB141)))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35317,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB141) | (~v119(constB141))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35316, 35315])).
% 136.76/87.43 tff(35318,plain,
% 136.76/87.43 (~v119(constB141)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35317, 1927, 34309])).
% 136.76/87.43 tff(35319,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB141, bitIndex0) | v119(constB141) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB141, bitIndex0) | v119(constB141) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35320,plain,
% 136.76/87.43 ((v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141)) <=> (v84(constB141, bitIndex0) | v119(constB141) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35321,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB141, bitIndex0) | v119(constB141) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2))))),
% 136.76/87.43 inference(monotonicity,[status(thm)],[35320])).
% 136.76/87.43 tff(35322,plain,
% 136.76/87.43 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB141, bitIndex0) | v119(constB141) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)))),
% 136.76/87.43 inference(transitivity,[status(thm)],[35321, 35319])).
% 136.76/87.43 tff(35323,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2)) | v119(constB141))),
% 136.76/87.43 inference(quant_inst,[status(thm)],[])).
% 136.76/87.43 tff(35324,plain,
% 136.76/87.43 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB141, bitIndex0) | v119(constB141) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2))),
% 136.76/87.43 inference(modus_ponens,[status(thm)],[35323, 35322])).
% 136.76/87.43 tff(35325,plain,
% 136.76/87.43 (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex1)) | (~v84(constB141, bitIndex2))),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35324, 1910, 35318])).
% 136.76/87.43 tff(35326,plain,
% 136.76/87.43 ($false),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35325, 35314, 35302, 35293])).
% 136.76/87.43 tff(35327,plain,((~v119(constB143)) | v94(constB142)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.43 tff(35328,plain,
% 136.76/87.43 (~v119(constB143)),
% 136.76/87.43 inference(unit_resolution,[status(thm)],[35327, 34228])).
% 136.76/87.43 tff(35329,plain,
% 136.76/87.43 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB143)) | (~v84(constB143, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB143)) | (~v84(constB143, bitIndex2)))),
% 136.76/87.43 inference(rewrite,[status(thm)],[])).
% 136.76/87.43 tff(35330,plain,
% 136.76/87.43 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB143)) | (~v84(constB143, bitIndex2)))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35331,plain,
% 136.76/87.44 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB143)) | (~v84(constB143, bitIndex2))),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35330, 35329])).
% 136.76/87.44 tff(35332,plain,
% 136.76/87.44 (~v113(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35331, 1119, 34792])).
% 136.76/87.44 tff(35333,assumption,(v84(constB144, bitIndex0)), introduced(assumption)).
% 136.76/87.44 tff(35334,assumption,(~v123(constB144, bitIndex0)), introduced(assumption)).
% 136.76/87.44 tff(35335,plain,
% 136.76/87.44 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB144)) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB144)) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35336,plain,
% 136.76/87.44 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB144)) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35337,plain,
% 136.76/87.44 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB144)) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0)),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35336, 35335])).
% 136.76/87.44 tff(35338,plain,
% 136.76/87.44 ($false),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35337, 1344, 795, 34682, 35333, 35334])).
% 136.76/87.44 tff(35339,plain,(v123(constB144, bitIndex0) | (~v94(constB144)) | (~v84(constB144, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.44 tff(35340,plain,
% 136.76/87.44 (v123(constB144, bitIndex0)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35339, 34682, 35333])).
% 136.76/87.44 tff(35341,assumption,(v123(constB144, bitIndex0)), introduced(assumption)).
% 136.76/87.44 tff(35342,assumption,(~v121(constB143, bitIndex0)), introduced(assumption)).
% 136.76/87.44 tff(35343,plain,
% 136.76/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35344,plain,
% 136.76/87.44 (((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | (~v123(constB144, bitIndex0)) | v121(constB143, bitIndex0)) <=> ((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35345,plain,
% 136.76/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | (~v123(constB144, bitIndex0)) | v121(constB143, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))))),
% 136.76/87.44 inference(monotonicity,[status(thm)],[35344])).
% 136.76/87.44 tff(35346,plain,
% 136.76/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | (~v123(constB144, bitIndex0)) | v121(constB143, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0)))),
% 136.76/87.44 inference(transitivity,[status(thm)],[35345, 35343])).
% 136.76/87.44 tff(35347,plain,
% 136.76/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | (~v123(constB144, bitIndex0)) | v121(constB143, bitIndex0))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35348,plain,
% 136.76/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex0)) | v121(constB143, bitIndex0) | (~v123(constB144, bitIndex0))),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35347, 35346])).
% 136.76/87.44 tff(35349,plain,
% 136.76/87.44 ($false),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35348, 1362, 795, 34430, 35342, 35341])).
% 136.76/87.44 tff(35350,plain,((~v123(constB144, bitIndex0)) | v121(constB143, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.76/87.44 tff(35351,plain,
% 136.76/87.44 (v121(constB143, bitIndex0)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35350, 35340])).
% 136.76/87.44 tff(35352,assumption,(v121(constB143, bitIndex0)), introduced(assumption)).
% 136.76/87.44 tff(35353,plain,
% 136.76/87.44 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35354,plain,
% 136.76/87.44 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0)))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35355,plain,
% 136.76/87.44 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex0)) | v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0))),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35354, 35353])).
% 136.76/87.44 tff(35356,plain,
% 136.76/87.44 ($false),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35355, 1380, 795, 34666, 34959, 35352])).
% 136.76/87.44 tff(35357,plain,(v124(constB143, bitIndex0) | (~v121(constB143, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.44 tff(35358,plain,
% 136.76/87.44 (v124(constB143, bitIndex0)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35357, 35351])).
% 136.76/87.44 tff(35359,assumption,(v124(constB143, bitIndex0)), introduced(assumption)).
% 136.76/87.44 tff(35360,plain,
% 136.76/87.44 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB143)) | (~v124(constB143, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35361,plain,
% 136.76/87.44 (((~v145(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35362,plain,
% 136.76/87.44 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB143)) | (~v124(constB143, bitIndex0))))),
% 136.76/87.44 inference(monotonicity,[status(thm)],[35361])).
% 136.76/87.44 tff(35363,plain,
% 136.76/87.44 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.76/87.44 inference(transitivity,[status(thm)],[35362, 35360])).
% 136.76/87.44 tff(35364,plain,
% 136.76/87.44 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b010(bitIndex0))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35365,plain,
% 136.76/87.44 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB143)) | (~v124(constB143, bitIndex0))),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35364, 35363])).
% 136.76/87.44 tff(35366,plain,
% 136.76/87.44 ($false),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35365, 2299, 1416, 795, 34712, 35359])).
% 136.76/87.44 tff(35367,plain,((~v124(constB143, bitIndex0)) | (~v145(constB143))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.44 tff(35368,plain,
% 136.76/87.44 (~v145(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35367, 35358])).
% 136.76/87.44 tff(35369,plain,
% 136.76/87.44 (v113(constB143) | (~v112(constB143))),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[34892, 2894, 35368])).
% 136.76/87.44 tff(35370,plain,
% 136.76/87.44 (~v112(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35369, 35332])).
% 136.76/87.44 tff(35371,plain,
% 136.76/87.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v115(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB143, bitIndex2)) | (~v115(constB143)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35372,plain,
% 136.76/87.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB143, bitIndex2)) | (~v115(constB143)))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35373,plain,
% 136.76/87.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB143, bitIndex2)) | (~v115(constB143))),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35372, 35371])).
% 136.76/87.44 tff(35374,plain,
% 136.76/87.44 (~v115(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35373, 2665, 34792])).
% 136.76/87.44 tff(35375,plain,
% 136.76/87.44 (~v111(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[34994, 2911, 35374, 35370])).
% 136.76/87.44 tff(35376,plain,
% 136.76/87.44 (~v116(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35053, 1130, 34792])).
% 136.76/87.44 tff(35377,plain,
% 136.76/87.44 (~v110(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35049, 2932, 35376, 35375])).
% 136.76/87.44 tff(35378,plain,
% 136.76/87.44 (~v118(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35032, 2842, 34899])).
% 136.76/87.44 tff(35379,plain,
% 136.76/87.44 (v104(constB144)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35003, 34682])).
% 136.76/87.44 tff(35380,plain,
% 136.76/87.44 (v102(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35011, 35379])).
% 136.76/87.44 tff(35381,plain,
% 136.76/87.44 (v106(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35019, 35380])).
% 136.76/87.44 tff(35382,plain,
% 136.76/87.44 (v107(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35023, 3161, 35381])).
% 136.76/87.44 tff(35383,assumption,(~v119(constB143)), introduced(assumption)).
% 136.76/87.44 tff(35384,plain,
% 136.76/87.44 (v108(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35027, 3195, 35383, 35382])).
% 136.76/87.44 tff(35385,plain,
% 136.76/87.44 (v109(constB143) | v118(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35036, 2856, 35384])).
% 136.76/87.44 tff(35386,plain,
% 136.76/87.44 (v109(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35385, 35378])).
% 136.76/87.44 tff(35387,plain,
% 136.76/87.44 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB143)) | (~v124(constB143, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35388,plain,
% 136.76/87.44 (((~v172(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b110(bitIndex0)) <=> (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35389,plain,
% 136.76/87.44 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | (b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB143)) | (~v124(constB143, bitIndex0))))),
% 136.76/87.44 inference(monotonicity,[status(thm)],[35388])).
% 136.76/87.44 tff(35390,plain,
% 136.76/87.44 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b110(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.76/87.44 inference(transitivity,[status(thm)],[35389, 35387])).
% 136.76/87.44 tff(35391,plain,
% 136.76/87.44 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | ((~v172(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b110(bitIndex0))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35392,plain,
% 136.76/87.44 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b110(B))) | b110(bitIndex0) | (~less_3(bitIndex0)) | (~v172(constB143)) | (~v124(constB143, bitIndex0))),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35391, 35390])).
% 136.76/87.44 tff(35393,plain,
% 136.76/87.44 ($false),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35392, 1997, 1994, 795, 35359, 34722])).
% 136.76/87.44 tff(35394,plain,((~v124(constB143, bitIndex0)) | (~v172(constB143))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.44 tff(35395,plain,
% 136.76/87.44 (~v172(constB143)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35394, 35358])).
% 136.76/87.44 tff(35396,plain,
% 136.76/87.44 ($false),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35044, 2871, 35395, 35386, 35377])).
% 136.76/87.44 tff(35397,plain,((~v94(constB144)) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2)) | v119(constB143) | (~v84(constB144, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.76/87.44 tff(35398,plain,
% 136.76/87.44 (~v94(constB144)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35397, 34266, 34424, 35328, 35286])).
% 136.76/87.44 tff(35399,plain,
% 136.76/87.44 (v84(constB144, bitIndex1)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[34679, 35398])).
% 136.76/87.44 tff(35400,assumption,(~v84(constB145, bitIndex1)), introduced(assumption)).
% 136.76/87.44 tff(35401,plain,
% 136.76/87.44 ((~v1(constB145)) <=> (~v1(constB145))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35402,axiom,(~v1(constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_145_1_1')).
% 136.76/87.44 tff(35403,plain,
% 136.76/87.44 (~v1(constB145)),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35402, 35401])).
% 136.76/87.44 tff(35404,plain,
% 136.76/87.44 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35405,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_144_1')).
% 136.76/87.44 tff(35406,plain,
% 136.76/87.44 (nextState(constB144, constB145)),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35405, 35404])).
% 136.76/87.44 tff(35407,plain,
% 136.76/87.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35408,plain,
% 136.76/87.44 (((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145)) <=> (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35409,plain,
% 136.76/87.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))))),
% 136.76/87.44 inference(monotonicity,[status(thm)],[35408])).
% 136.76/87.44 tff(35410,plain,
% 136.76/87.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145)))),
% 136.76/87.44 inference(transitivity,[status(thm)],[35409, 35407])).
% 136.76/87.44 tff(35411,plain,
% 136.76/87.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB144, constB145)) | (~v95(constB145)) | v1(constB145))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35412,plain,
% 136.76/87.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB145) | (~nextState(constB144, constB145)) | (~v95(constB145))),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35411, 35410])).
% 136.76/87.44 tff(35413,plain,
% 136.76/87.44 (~v95(constB145)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35412, 742, 35406, 35403])).
% 136.76/87.44 tff(35414,plain,
% 136.76/87.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35415,plain,
% 136.76/87.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145)))),
% 136.76/87.44 inference(quant_inst,[status(thm)],[])).
% 136.76/87.44 tff(35416,plain,
% 136.76/87.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB144, constB145)) | v95(constB145) | (~v94(constB145))),
% 136.76/87.44 inference(modus_ponens,[status(thm)],[35415, 35414])).
% 136.76/87.44 tff(35417,plain,
% 136.76/87.44 (v95(constB145) | (~v94(constB145))),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35416, 759, 35406])).
% 136.76/87.44 tff(35418,plain,
% 136.76/87.44 (~v94(constB145)),
% 136.76/87.44 inference(unit_resolution,[status(thm)],[35417, 35413])).
% 136.76/87.44 tff(35419,plain,
% 136.76/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex1)) | v84(constB145, bitIndex1) | (~v84(constB144, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex1)) | v84(constB145, bitIndex1) | (~v84(constB144, bitIndex1)))),
% 136.76/87.44 inference(rewrite,[status(thm)],[])).
% 136.76/87.44 tff(35420,plain,
% 136.76/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex1)) | v84(constB145, bitIndex1) | (~v84(constB144, bitIndex1)))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35421,plain,
% 136.80/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex1)) | v84(constB145, bitIndex1) | (~v84(constB144, bitIndex1))),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35420, 35419])).
% 136.80/87.44 tff(35422,plain,
% 136.80/87.44 ($false),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35421, 777, 823, 35406, 35418, 35228, 35400])).
% 136.80/87.44 tff(35423,plain,(v84(constB145, bitIndex1) | (~v84(constB144, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.80/87.44 tff(35424,plain,
% 136.80/87.44 (v84(constB145, bitIndex1)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35423, 35399])).
% 136.80/87.44 tff(35425,plain,
% 136.80/87.44 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35426,plain,
% 136.80/87.44 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex1)))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35427,plain,
% 136.80/87.44 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB145)) | (~v84(constB145, bitIndex1))),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35426, 35425])).
% 136.80/87.44 tff(35428,plain,
% 136.80/87.44 (~v113(constB145)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35427, 1465, 35424])).
% 136.80/87.44 tff(35429,plain,
% 136.80/87.44 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB143) | (~v26(constB143)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB143) | (~v26(constB143)))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35430,plain,
% 136.80/87.44 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB143) | (~v26(constB143)))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35431,plain,
% 136.80/87.44 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB143) | (~v26(constB143))),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35430, 35429])).
% 136.80/87.44 tff(35432,plain,
% 136.80/87.44 (~v26(constB143)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35431, 630, 34658])).
% 136.80/87.44 tff(35433,plain,
% 136.80/87.44 (~v107(constB143)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[34672, 644, 35432, 34662])).
% 136.80/87.44 tff(35434,plain,
% 136.80/87.44 (~v108(constB143)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[34677, 658, 35433])).
% 136.80/87.44 tff(35435,plain,
% 136.80/87.44 (~v109(constB143)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[34442, 669, 35434])).
% 136.80/87.44 tff(35436,plain,
% 136.80/87.44 (~v110(constB143)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[34454, 680, 35435])).
% 136.80/87.44 tff(35437,plain,
% 136.80/87.44 (~v111(constB143)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[34458, 691, 35436])).
% 136.80/87.44 tff(35438,plain,
% 136.80/87.44 (~v112(constB143)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[34462, 702, 35437])).
% 136.80/87.44 tff(35439,plain,
% 136.80/87.44 (~v145(constB143)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[34466, 713, 35438])).
% 136.80/87.44 tff(35440,assumption,(v145(constB145)), introduced(assumption)).
% 136.80/87.44 tff(35441,plain,
% 136.80/87.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v145(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v145(constB145)))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35442,plain,
% 136.80/87.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v145(constB145)))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35443,plain,
% 136.80/87.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v145(constB145))),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35442, 35441])).
% 136.80/87.44 tff(35444,plain,
% 136.80/87.44 (~v84(constB145, bitIndex2)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35443, 725, 35440])).
% 136.80/87.44 tff(35445,plain,
% 136.80/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB144, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB144, bitIndex2)))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35446,plain,
% 136.80/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB144, bitIndex2)))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35447,plain,
% 136.80/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB144, bitIndex2))),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35446, 35445])).
% 136.80/87.44 tff(35448,plain,
% 136.80/87.44 (~v84(constB144, bitIndex2)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35447, 777, 767, 35406, 35418, 35444])).
% 136.80/87.44 tff(35449,plain,
% 136.80/87.44 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB145, bitIndex0) | (~v145(constB145)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB145, bitIndex0) | (~v145(constB145)))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35450,plain,
% 136.80/87.44 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB145, bitIndex0) | (~v145(constB145)))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35451,plain,
% 136.80/87.44 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | v84(constB145, bitIndex0) | (~v145(constB145))),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35450, 35449])).
% 136.80/87.44 tff(35452,plain,
% 136.80/87.44 (v84(constB145, bitIndex0)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35451, 788, 35440])).
% 136.80/87.44 tff(35453,plain,
% 136.80/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB144, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB144, bitIndex0))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35454,plain,
% 136.80/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB144, bitIndex0))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35455,plain,
% 136.80/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB144, bitIndex0)),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35454, 35453])).
% 136.80/87.44 tff(35456,plain,
% 136.80/87.44 (v84(constB144, bitIndex0)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35455, 805, 795, 35406, 35418, 35452])).
% 136.80/87.44 tff(35457,plain,
% 136.80/87.44 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v145(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v145(constB145)))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35458,plain,
% 136.80/87.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v145(constB145)))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35459,plain,
% 136.80/87.44 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v145(constB145))),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35458, 35457])).
% 136.80/87.44 tff(35460,plain,
% 136.80/87.44 (~v84(constB145, bitIndex1)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35459, 816, 35440])).
% 136.80/87.44 tff(35461,plain,
% 136.80/87.44 (~v84(constB144, bitIndex1)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35421, 777, 823, 35406, 35418, 35460])).
% 136.80/87.44 tff(35462,plain,
% 136.80/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB144, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB144, bitIndex0)))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35463,plain,
% 136.80/87.44 (((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB144, bitIndex0)) | v84(constB143, bitIndex0)) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB144, bitIndex0)))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35464,plain,
% 136.80/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB144, bitIndex0)) | v84(constB143, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB144, bitIndex0))))),
% 136.80/87.44 inference(monotonicity,[status(thm)],[35463])).
% 136.80/87.44 tff(35465,plain,
% 136.80/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB144, bitIndex0)) | v84(constB143, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB144, bitIndex0)))),
% 136.80/87.44 inference(transitivity,[status(thm)],[35464, 35462])).
% 136.80/87.44 tff(35466,plain,
% 136.80/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | (~v84(constB144, bitIndex0)) | v84(constB143, bitIndex0))),
% 136.80/87.44 inference(quant_inst,[status(thm)],[])).
% 136.80/87.44 tff(35467,plain,
% 136.80/87.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex0)) | v84(constB143, bitIndex0) | (~v84(constB144, bitIndex0))),
% 136.80/87.44 inference(modus_ponens,[status(thm)],[35466, 35465])).
% 136.80/87.44 tff(35468,plain,
% 136.80/87.44 (v94(constB144) | v84(constB143, bitIndex0)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35467, 805, 795, 34430, 35333])).
% 136.80/87.44 tff(35469,plain,
% 136.80/87.44 (v84(constB143, bitIndex0)),
% 136.80/87.44 inference(unit_resolution,[status(thm)],[35468, 34427])).
% 136.80/87.44 tff(35470,assumption,(~v84(constB144, bitIndex2)), introduced(assumption)).
% 136.80/87.44 tff(35471,plain,
% 136.80/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB144, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB144, bitIndex2))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35472,plain,
% 136.80/87.44 (((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v84(constB143, bitIndex2))) <=> ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB144, bitIndex2))),
% 136.80/87.44 inference(rewrite,[status(thm)],[])).
% 136.80/87.44 tff(35473,plain,
% 136.80/87.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v84(constB143, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB144, bitIndex2)))),
% 136.80/87.45 inference(monotonicity,[status(thm)],[35472])).
% 136.80/87.45 tff(35474,plain,
% 136.80/87.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v84(constB143, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB144, bitIndex2))),
% 136.80/87.45 inference(transitivity,[status(thm)],[35473, 35471])).
% 136.80/87.45 tff(35475,plain,
% 136.80/87.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v84(constB143, bitIndex2)))),
% 136.80/87.45 inference(quant_inst,[status(thm)],[])).
% 136.80/87.45 tff(35476,plain,
% 136.80/87.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB143, constB144)) | v94(constB144) | (~less_3(bitIndex2)) | (~v84(constB143, bitIndex2)) | v84(constB144, bitIndex2)),
% 136.80/87.45 inference(modus_ponens,[status(thm)],[35475, 35474])).
% 136.80/87.45 tff(35477,plain,
% 136.80/87.45 (v94(constB144) | (~v84(constB143, bitIndex2))),
% 136.80/87.45 inference(unit_resolution,[status(thm)],[35476, 777, 767, 34430, 35470])).
% 136.80/87.45 tff(35478,plain,
% 136.80/87.45 (~v84(constB143, bitIndex2)),
% 136.80/87.45 inference(unit_resolution,[status(thm)],[35477, 34427])).
% 136.80/87.45 tff(35479,plain,
% 136.80/87.45 ($false),
% 136.80/87.45 inference(unit_resolution,[status(thm)],[34482, 35478, 35469, 34438])).
% 136.80/87.45 tff(35480,plain,(v94(constB144) | v145(constB143) | v84(constB144, bitIndex1) | v84(constB144, bitIndex2) | (~v84(constB144, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.80/87.45 tff(35481,plain,
% 136.80/87.45 ($false),
% 136.80/87.45 inference(unit_resolution,[status(thm)],[35480, 35461, 35456, 34427, 35448, 35439])).
% 136.80/87.45 tff(35482,plain,((~v145(constB145)) | v94(constB144)), inference(lemma,lemma(discharge,[]))).
% 136.80/87.45 tff(35483,plain,
% 136.80/87.45 (~v145(constB145)),
% 136.80/87.45 inference(unit_resolution,[status(thm)],[35482, 35398])).
% 136.80/87.45 tff(35484,plain,
% 136.80/87.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB145)) | v145(constB145) | v113(constB145))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB145)) | v145(constB145) | v113(constB145))),
% 136.80/87.45 inference(rewrite,[status(thm)],[])).
% 136.80/87.45 tff(35485,plain,
% 136.80/87.45 ((v113(constB145) | (~v112(constB145)) | v145(constB145)) <=> ((~v112(constB145)) | v145(constB145) | v113(constB145))),
% 136.80/87.45 inference(rewrite,[status(thm)],[])).
% 136.80/87.45 tff(35486,plain,
% 136.80/87.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB145) | (~v112(constB145)) | v145(constB145))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB145)) | v145(constB145) | v113(constB145)))),
% 136.80/87.45 inference(monotonicity,[status(thm)],[35485])).
% 136.80/87.45 tff(35487,plain,
% 136.80/87.45 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB145) | (~v112(constB145)) | v145(constB145))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB145)) | v145(constB145) | v113(constB145))),
% 136.80/87.45 inference(transitivity,[status(thm)],[35486, 35484])).
% 136.80/87.45 tff(35488,plain,
% 136.80/87.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB145) | (~v112(constB145)) | v145(constB145))),
% 136.80/87.45 inference(quant_inst,[status(thm)],[])).
% 136.80/87.45 tff(35489,plain,
% 136.80/87.45 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB145)) | v145(constB145) | v113(constB145)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35488, 35487])).
% 136.81/87.45 tff(35490,plain,
% 136.81/87.45 ((~v112(constB145)) | v113(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35489, 2894, 35483])).
% 136.81/87.45 tff(35491,plain,
% 136.81/87.45 (~v112(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35490, 35428])).
% 136.81/87.45 tff(35492,assumption,(~v84(constB145, bitIndex0)), introduced(assumption)).
% 136.81/87.45 tff(35493,plain,
% 136.81/87.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB144, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB144, bitIndex0)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35494,plain,
% 136.81/87.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB144, bitIndex0)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35495,plain,
% 136.81/87.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB144, bitIndex0))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35494, 35493])).
% 136.81/87.45 tff(35496,plain,
% 136.81/87.45 ($false),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35495, 777, 795, 35406, 35418, 35333, 35492])).
% 136.81/87.45 tff(35497,plain,(v84(constB145, bitIndex0) | (~v84(constB144, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.45 tff(35498,plain,
% 136.81/87.45 (v84(constB145, bitIndex0)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35497, 35286])).
% 136.81/87.45 tff(35499,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v115(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB145, bitIndex0)) | (~v115(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35500,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v115(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35501,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB145, bitIndex0)) | (~v115(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35500, 35499])).
% 136.81/87.45 tff(35502,plain,
% 136.81/87.45 (~v115(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35501, 3011, 35498])).
% 136.81/87.45 tff(35503,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB145) | v115(constB145) | (~v111(constB145)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB145) | v115(constB145) | (~v111(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35504,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB145) | v115(constB145) | (~v111(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35505,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB145) | v115(constB145) | (~v111(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35504, 35503])).
% 136.81/87.45 tff(35506,plain,
% 136.81/87.45 (~v111(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35505, 2911, 35502, 35491])).
% 136.81/87.45 tff(35507,plain,
% 136.81/87.45 ($false),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35476, 777, 767, 34430, 34427, 35470, 34792])).
% 136.81/87.45 tff(35508,plain,(v84(constB144, bitIndex2) | v94(constB144) | (~v84(constB143, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.45 tff(35509,plain,
% 136.81/87.45 (~v84(constB143, bitIndex2)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35508, 34427, 35470])).
% 136.81/87.45 tff(35510,plain,
% 136.81/87.45 (v84(constB143, bitIndex1)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[34626, 34930])).
% 136.81/87.45 tff(35511,plain,
% 136.81/87.45 (v84(constB143, bitIndex0)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[34934, 35510, 34905])).
% 136.81/87.45 tff(35512,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v116(constB143))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v116(constB143))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35513,plain,
% 136.81/87.45 (((~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v116(constB143)) <=> ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v116(constB143))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35514,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v116(constB143))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v116(constB143)))),
% 136.81/87.45 inference(monotonicity,[status(thm)],[35513])).
% 136.81/87.45 tff(35515,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v116(constB143))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v116(constB143))),
% 136.81/87.45 inference(transitivity,[status(thm)],[35514, 35512])).
% 136.81/87.45 tff(35516,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex1)) | v84(constB143, bitIndex2) | v116(constB143))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35517,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB143, bitIndex0)) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex1)) | v116(constB143)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35516, 35515])).
% 136.81/87.45 tff(35518,plain,
% 136.81/87.45 (v116(constB143)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35517, 1076, 35511, 35510, 34417])).
% 136.81/87.45 tff(35519,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB143) | (~v116(constB143)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB143) | (~v116(constB143)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35520,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB143) | (~v116(constB143)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35521,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB143) | (~v116(constB143))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35520, 35519])).
% 136.81/87.45 tff(35522,plain,
% 136.81/87.45 ($false),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35521, 934, 35518, 34932])).
% 136.81/87.45 tff(35523,plain,(v107(constB143) | v84(constB143, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.45 tff(35524,plain,
% 136.81/87.45 (v107(constB143)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35523, 35509])).
% 136.81/87.45 tff(35525,plain,
% 136.81/87.45 (v106(constB143)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[34673, 35524])).
% 136.81/87.45 tff(35526,plain,
% 136.81/87.45 ($false),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[34661, 619, 34658, 35525])).
% 136.81/87.45 tff(35527,plain,(v94(constB144) | v84(constB144, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.45 tff(35528,plain,
% 136.81/87.45 (v84(constB144, bitIndex2)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35527, 35398])).
% 136.81/87.45 tff(35529,assumption,(~v84(constB145, bitIndex2)), introduced(assumption)).
% 136.81/87.45 tff(35530,assumption,(v84(constB144, bitIndex2)), introduced(assumption)).
% 136.81/87.45 tff(35531,plain,
% 136.81/87.45 ($false),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35447, 777, 767, 35406, 35418, 35530, 35529])).
% 136.81/87.45 tff(35532,plain,(v84(constB145, bitIndex2) | (~v84(constB144, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.45 tff(35533,plain,
% 136.81/87.45 (v84(constB145, bitIndex2)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35532, 35528])).
% 136.81/87.45 tff(35534,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v116(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v116(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35535,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v116(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35536,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v116(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35535, 35534])).
% 136.81/87.45 tff(35537,plain,
% 136.81/87.45 (~v116(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35536, 1130, 35533])).
% 136.81/87.45 tff(35538,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB145) | v116(constB145) | (~v110(constB145)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB145) | v116(constB145) | (~v110(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35539,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB145) | v116(constB145) | (~v110(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35540,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB145) | v116(constB145) | (~v110(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35539, 35538])).
% 136.81/87.45 tff(35541,plain,
% 136.81/87.45 (~v110(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35540, 2932, 35537, 35506])).
% 136.81/87.45 tff(35542,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v172(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v172(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35543,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v172(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35544,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v172(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35543, 35542])).
% 136.81/87.45 tff(35545,plain,
% 136.81/87.45 (~v172(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35544, 2289, 35424])).
% 136.81/87.45 tff(35546,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB145)) | v172(constB145) | v110(constB145))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB145)) | v172(constB145) | v110(constB145))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35547,plain,
% 136.81/87.45 ((v110(constB145) | (~v109(constB145)) | v172(constB145)) <=> ((~v109(constB145)) | v172(constB145) | v110(constB145))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35548,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB145) | (~v109(constB145)) | v172(constB145))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB145)) | v172(constB145) | v110(constB145)))),
% 136.81/87.45 inference(monotonicity,[status(thm)],[35547])).
% 136.81/87.45 tff(35549,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB145) | (~v109(constB145)) | v172(constB145))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB145)) | v172(constB145) | v110(constB145))),
% 136.81/87.45 inference(transitivity,[status(thm)],[35548, 35546])).
% 136.81/87.45 tff(35550,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB145) | (~v109(constB145)) | v172(constB145))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35551,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB145)) | v172(constB145) | v110(constB145)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35550, 35549])).
% 136.81/87.45 tff(35552,plain,
% 136.81/87.45 ((~v109(constB145)) | v110(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35551, 2871, 35545])).
% 136.81/87.45 tff(35553,plain,
% 136.81/87.45 (~v109(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35552, 35541])).
% 136.81/87.45 tff(35554,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v118(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v118(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35555,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB145, bitIndex1)) | (~v118(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35556,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB145, bitIndex1)) | (~v118(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35555, 35554])).
% 136.81/87.45 tff(35557,plain,
% 136.81/87.45 (~v118(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35556, 2842, 35424])).
% 136.81/87.45 tff(35558,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB145) | v118(constB145) | (~v108(constB145)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB145) | v118(constB145) | (~v108(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35559,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB145) | v118(constB145) | (~v108(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35560,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB145) | v118(constB145) | (~v108(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35559, 35558])).
% 136.81/87.45 tff(35561,plain,
% 136.81/87.45 (v109(constB145) | (~v108(constB145))),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35560, 2856, 35557])).
% 136.81/87.45 tff(35562,plain,
% 136.81/87.45 (~v108(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35561, 35553])).
% 136.81/87.45 tff(35563,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB145)) | (~v84(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB145)) | (~v84(constB145, bitIndex0)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35564,plain,
% 136.81/87.45 (((~v84(constB145, bitIndex0)) | (~v119(constB145))) <=> ((~v119(constB145)) | (~v84(constB145, bitIndex0)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35565,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v119(constB145)) | (~v84(constB145, bitIndex0))))),
% 136.81/87.45 inference(monotonicity,[status(thm)],[35564])).
% 136.81/87.45 tff(35566,plain,
% 136.81/87.45 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB145)) | (~v84(constB145, bitIndex0)))),
% 136.81/87.45 inference(transitivity,[status(thm)],[35565, 35563])).
% 136.81/87.45 tff(35567,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v119(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35568,plain,
% 136.81/87.45 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v119(constB145)) | (~v84(constB145, bitIndex0))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35567, 35566])).
% 136.81/87.45 tff(35569,plain,
% 136.81/87.45 (~v119(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35568, 3173, 35498])).
% 136.81/87.45 tff(35570,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB145) | v119(constB145) | (~v107(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB145) | v119(constB145) | (~v107(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35571,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB145) | v119(constB145) | (~v107(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35572,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB145) | v119(constB145) | (~v107(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35571, 35570])).
% 136.81/87.45 tff(35573,plain,
% 136.81/87.45 (v108(constB145) | (~v107(constB145))),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35572, 3195, 35569])).
% 136.81/87.45 tff(35574,plain,
% 136.81/87.45 (~v107(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35573, 35562])).
% 136.81/87.45 tff(35575,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB145) | (~v106(constB145)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB145) | (~v106(constB145)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35576,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB145) | (~v106(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35577,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB145) | (~v106(constB145))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35576, 35575])).
% 136.81/87.45 tff(35578,plain,
% 136.81/87.45 (~v106(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35577, 3161, 35574])).
% 136.81/87.45 tff(35579,assumption,(v26(constB145)), introduced(assumption)).
% 136.81/87.45 tff(35580,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35581,plain,
% 136.81/87.45 ($false),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35580, 1172, 35579])).
% 136.81/87.45 tff(35582,plain,(~v26(constB145)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.45 tff(35583,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB145)) | v26(constB145) | v106(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB145)) | v26(constB145) | v106(constB145))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35584,plain,
% 136.81/87.45 ((v26(constB145) | v106(constB145) | (~v102(constB145))) <=> ((~v102(constB145)) | v26(constB145) | v106(constB145))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35585,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB145) | v106(constB145) | (~v102(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB145)) | v26(constB145) | v106(constB145)))),
% 136.81/87.45 inference(monotonicity,[status(thm)],[35584])).
% 136.81/87.45 tff(35586,plain,
% 136.81/87.45 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB145) | v106(constB145) | (~v102(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB145)) | v26(constB145) | v106(constB145))),
% 136.81/87.45 inference(transitivity,[status(thm)],[35585, 35583])).
% 136.81/87.45 tff(35587,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB145) | v106(constB145) | (~v102(constB145)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35588,plain,
% 136.81/87.45 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB145)) | v26(constB145) | v106(constB145)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35587, 35586])).
% 136.81/87.45 tff(35589,plain,
% 136.81/87.45 ((~v102(constB145)) | v106(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35588, 3146, 35582])).
% 136.81/87.45 tff(35590,plain,
% 136.81/87.45 (~v102(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35589, 35578])).
% 136.81/87.45 tff(35591,plain,
% 136.81/87.45 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35592,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_145_1')).
% 136.81/87.45 tff(35593,plain,
% 136.81/87.45 (nextState(constB145, constB146)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35592, 35591])).
% 136.81/87.45 tff(35594,plain,
% 136.81/87.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35595,plain,
% 136.81/87.45 (((~nextState(constB145, constB146)) | v102(constB145) | (~v104(constB146))) <=> ((~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35596,plain,
% 136.81/87.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | v102(constB145) | (~v104(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145)))),
% 136.81/87.45 inference(monotonicity,[status(thm)],[35595])).
% 136.81/87.45 tff(35597,plain,
% 136.81/87.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | v102(constB145) | (~v104(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145))),
% 136.81/87.45 inference(transitivity,[status(thm)],[35596, 35594])).
% 136.81/87.45 tff(35598,plain,
% 136.81/87.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB145, constB146)) | v102(constB145) | (~v104(constB146)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35599,plain,
% 136.81/87.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB145, constB146)) | (~v104(constB146)) | v102(constB145)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35598, 35597])).
% 136.81/87.45 tff(35600,plain,
% 136.81/87.45 ((~v104(constB146)) | v102(constB145)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35599, 3128, 35593])).
% 136.81/87.45 tff(35601,plain,
% 136.81/87.45 (~v104(constB146)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35600, 35590])).
% 136.81/87.45 tff(35602,plain,
% 136.81/87.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v94(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v94(constB146)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35603,plain,
% 136.81/87.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v94(constB146)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35604,plain,
% 136.81/87.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v94(constB146))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35603, 35602])).
% 136.81/87.45 tff(35605,plain,
% 136.81/87.45 (v104(constB146) | (~v94(constB146))),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35604, 3113, 35593])).
% 136.81/87.45 tff(35606,plain,
% 136.81/87.45 (~v94(constB146)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35605, 35601])).
% 136.81/87.45 tff(35607,assumption,(~v84(constB146, bitIndex1)), introduced(assumption)).
% 136.81/87.45 tff(35608,assumption,(v84(constB145, bitIndex1)), introduced(assumption)).
% 136.81/87.45 tff(35609,assumption,(~v94(constB146)), introduced(assumption)).
% 136.81/87.45 tff(35610,plain,
% 136.81/87.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB146, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB146, bitIndex1))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35611,plain,
% 136.81/87.45 (((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB145, bitIndex1))) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB146, bitIndex1))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35612,plain,
% 136.81/87.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB145, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB146, bitIndex1)))),
% 136.81/87.45 inference(monotonicity,[status(thm)],[35611])).
% 136.81/87.45 tff(35613,plain,
% 136.81/87.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB145, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB146, bitIndex1))),
% 136.81/87.45 inference(transitivity,[status(thm)],[35612, 35610])).
% 136.81/87.45 tff(35614,plain,
% 136.81/87.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB145, bitIndex1)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35615,plain,
% 136.81/87.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB146, bitIndex1)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35614, 35613])).
% 136.81/87.45 tff(35616,plain,
% 136.81/87.45 ($false),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35615, 777, 823, 35593, 35609, 35608, 35607])).
% 136.81/87.45 tff(35617,plain,(v84(constB146, bitIndex1) | v94(constB146) | (~v84(constB145, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.45 tff(35618,plain,
% 136.81/87.45 (v84(constB146, bitIndex1)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35617, 35606, 35424])).
% 136.81/87.45 tff(35619,assumption,(v84(constB146, bitIndex1)), introduced(assumption)).
% 136.81/87.45 tff(35620,assumption,(~v84(constB147, bitIndex1)), introduced(assumption)).
% 136.81/87.45 tff(35621,plain,
% 136.81/87.45 ((~v1(constB147)) <=> (~v1(constB147))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35622,axiom,(~v1(constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_147_1_1')).
% 136.81/87.45 tff(35623,plain,
% 136.81/87.45 (~v1(constB147)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35622, 35621])).
% 136.81/87.45 tff(35624,plain,
% 136.81/87.45 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35625,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_146_1')).
% 136.81/87.45 tff(35626,plain,
% 136.81/87.45 (nextState(constB146, constB147)),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35625, 35624])).
% 136.81/87.45 tff(35627,plain,
% 136.81/87.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35628,plain,
% 136.81/87.45 (((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147)) <=> (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35629,plain,
% 136.81/87.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))))),
% 136.81/87.45 inference(monotonicity,[status(thm)],[35628])).
% 136.81/87.45 tff(35630,plain,
% 136.81/87.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147)))),
% 136.81/87.45 inference(transitivity,[status(thm)],[35629, 35627])).
% 136.81/87.45 tff(35631,plain,
% 136.81/87.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB146, constB147)) | (~v95(constB147)) | v1(constB147))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35632,plain,
% 136.81/87.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB147) | (~nextState(constB146, constB147)) | (~v95(constB147))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35631, 35630])).
% 136.81/87.45 tff(35633,plain,
% 136.81/87.45 (~v95(constB147)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35632, 742, 35626, 35623])).
% 136.81/87.45 tff(35634,plain,
% 136.81/87.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35635,plain,
% 136.81/87.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147)))),
% 136.81/87.45 inference(quant_inst,[status(thm)],[])).
% 136.81/87.45 tff(35636,plain,
% 136.81/87.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB146, constB147)) | v95(constB147) | (~v94(constB147))),
% 136.81/87.45 inference(modus_ponens,[status(thm)],[35635, 35634])).
% 136.81/87.45 tff(35637,plain,
% 136.81/87.45 (v95(constB147) | (~v94(constB147))),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35636, 759, 35626])).
% 136.81/87.45 tff(35638,plain,
% 136.81/87.45 (~v94(constB147)),
% 136.81/87.45 inference(unit_resolution,[status(thm)],[35637, 35633])).
% 136.81/87.45 tff(35639,plain,
% 136.81/87.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB146, bitIndex1)) | v84(constB147, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB146, bitIndex1)) | v84(constB147, bitIndex1))),
% 136.81/87.45 inference(rewrite,[status(thm)],[])).
% 136.81/87.45 tff(35640,plain,
% 136.81/87.45 (((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB147, bitIndex1) | (~v84(constB146, bitIndex1))) <=> ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB146, bitIndex1)) | v84(constB147, bitIndex1))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35641,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB147, bitIndex1) | (~v84(constB146, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB146, bitIndex1)) | v84(constB147, bitIndex1)))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35640])).
% 136.81/87.46 tff(35642,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB147, bitIndex1) | (~v84(constB146, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB146, bitIndex1)) | v84(constB147, bitIndex1))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35641, 35639])).
% 136.81/87.46 tff(35643,plain,
% 136.81/87.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB147, bitIndex1) | (~v84(constB146, bitIndex1)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35644,plain,
% 136.81/87.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB146, bitIndex1)) | v84(constB147, bitIndex1)),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35643, 35642])).
% 136.81/87.46 tff(35645,plain,
% 136.81/87.46 ($false),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35644, 777, 823, 35626, 35638, 35620, 35619])).
% 136.81/87.46 tff(35646,plain,(v84(constB147, bitIndex1) | (~v84(constB146, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.46 tff(35647,plain,
% 136.81/87.46 (v84(constB147, bitIndex1)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35646, 35618])).
% 136.81/87.46 tff(35648,plain,
% 136.81/87.46 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB147)) | (~v84(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB147)) | (~v84(constB147, bitIndex1)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35649,plain,
% 136.81/87.46 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB147)) | (~v84(constB147, bitIndex1)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35650,plain,
% 136.81/87.46 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB147)) | (~v84(constB147, bitIndex1))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35649, 35648])).
% 136.81/87.46 tff(35651,plain,
% 136.81/87.46 (~v113(constB147)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35650, 1465, 35647])).
% 136.81/87.46 tff(35652,assumption,(v145(constB147)), introduced(assumption)).
% 136.81/87.46 tff(35653,assumption,(~v84(constB147, bitIndex0)), introduced(assumption)).
% 136.81/87.46 tff(35654,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB147)) | v84(constB147, bitIndex0))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB147)) | v84(constB147, bitIndex0))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35655,plain,
% 136.81/87.46 ((v84(constB147, bitIndex0) | (~v145(constB147))) <=> ((~v145(constB147)) | v84(constB147, bitIndex0))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35656,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB147, bitIndex0) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | ((~v145(constB147)) | v84(constB147, bitIndex0)))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35655])).
% 136.81/87.46 tff(35657,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB147, bitIndex0) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB147)) | v84(constB147, bitIndex0))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35656, 35654])).
% 136.81/87.46 tff(35658,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (v84(constB147, bitIndex0) | (~v145(constB147)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35659,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v145(VarCurr)))) | (~v145(constB147)) | v84(constB147, bitIndex0)),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35658, 35657])).
% 136.81/87.46 tff(35660,plain,
% 136.81/87.46 ($false),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35659, 788, 35652, 35653])).
% 136.81/87.46 tff(35661,plain,((~v145(constB147)) | v84(constB147, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.46 tff(35662,plain,
% 136.81/87.46 (v84(constB147, bitIndex0)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35661, 35652])).
% 136.81/87.46 tff(35663,assumption,(~v84(constB146, bitIndex0)), introduced(assumption)).
% 136.81/87.46 tff(35664,assumption,(v84(constB147, bitIndex0)), introduced(assumption)).
% 136.81/87.46 tff(35665,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB147, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB147, bitIndex0)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35666,plain,
% 136.81/87.46 (((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB147, bitIndex0)) | v84(constB146, bitIndex0)) <=> ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB147, bitIndex0)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35667,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB147, bitIndex0)) | v84(constB146, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB147, bitIndex0))))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35666])).
% 136.81/87.46 tff(35668,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB147, bitIndex0)) | v84(constB146, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB147, bitIndex0)))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35667, 35665])).
% 136.81/87.46 tff(35669,plain,
% 136.81/87.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB147, bitIndex0)) | v84(constB146, bitIndex0))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35670,plain,
% 136.81/87.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB147, bitIndex0))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35669, 35668])).
% 136.81/87.46 tff(35671,plain,
% 136.81/87.46 ($false),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35670, 805, 795, 35626, 35638, 35664, 35663])).
% 136.81/87.46 tff(35672,plain,((~v84(constB147, bitIndex0)) | v84(constB146, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.46 tff(35673,plain,
% 136.81/87.46 (v84(constB146, bitIndex0)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35672, 35662])).
% 136.81/87.46 tff(35674,plain,
% 136.81/87.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB147)) | (~v84(constB147, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB147)) | (~v84(constB147, bitIndex1)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35675,plain,
% 136.81/87.46 (((~v84(constB147, bitIndex1)) | (~v145(constB147))) <=> ((~v145(constB147)) | (~v84(constB147, bitIndex1)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35676,plain,
% 136.81/87.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB147, bitIndex1)) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB147)) | (~v84(constB147, bitIndex1))))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35675])).
% 136.81/87.46 tff(35677,plain,
% 136.81/87.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB147, bitIndex1)) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB147)) | (~v84(constB147, bitIndex1)))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35676, 35674])).
% 136.81/87.46 tff(35678,plain,
% 136.81/87.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB147, bitIndex1)) | (~v145(constB147)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35679,plain,
% 136.81/87.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB147)) | (~v84(constB147, bitIndex1))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35678, 35677])).
% 136.81/87.46 tff(35680,plain,
% 136.81/87.46 (~v84(constB147, bitIndex1)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35679, 816, 35652])).
% 136.81/87.46 tff(35681,plain,
% 136.81/87.46 (~v84(constB146, bitIndex1)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35646, 35680])).
% 136.81/87.46 tff(35682,plain,
% 136.81/87.46 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35683,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35684,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB145) | (~nextState(constB145, constB146)) | (~v98(constB146))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35683, 35682])).
% 136.81/87.46 tff(35685,plain,
% 136.81/87.46 (~v98(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35684, 541, 35593, 35403])).
% 136.81/87.46 tff(35686,plain,
% 136.81/87.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35687,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB145, constB146)) | v96(constB146) | v98(constB146))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35688,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB145, constB146)) | v96(constB146) | v98(constB146)),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35687, 35686])).
% 136.81/87.46 tff(35689,plain,
% 136.81/87.46 (v96(constB146) | v98(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35688, 555, 35593])).
% 136.81/87.46 tff(35690,plain,
% 136.81/87.46 (v96(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35689, 35685])).
% 136.81/87.46 tff(35691,plain,
% 136.81/87.46 (v1(constB146) <=> v1(constB146)),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35692,axiom,(v1(constB146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_146_1')).
% 136.81/87.46 tff(35693,plain,
% 136.81/87.46 (v1(constB146)),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35692, 35691])).
% 136.81/87.46 tff(35694,plain,
% 136.81/87.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35695,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35696,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB145, constB146)) | v95(constB146) | (~v96(constB146)) | (~v1(constB146))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35695, 35694])).
% 136.81/87.46 tff(35697,plain,
% 136.81/87.46 (v95(constB146) | (~v96(constB146))),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35696, 573, 35593, 35693])).
% 136.81/87.46 tff(35698,plain,
% 136.81/87.46 (v95(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35697, 35690])).
% 136.81/87.46 tff(35699,plain,
% 136.81/87.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35700,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35701,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB145, constB146)) | (~v95(constB146)) | (~v104(constB146)) | v94(constB146)),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35700, 35699])).
% 136.81/87.46 tff(35702,plain,
% 136.81/87.46 ((~v95(constB146)) | (~v104(constB146)) | v94(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35701, 588, 35593])).
% 136.81/87.46 tff(35703,plain,
% 136.81/87.46 ((~v104(constB146)) | v94(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35702, 35698])).
% 136.81/87.46 tff(35704,plain,
% 136.81/87.46 (~v104(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35703, 35609])).
% 136.81/87.46 tff(35705,plain,
% 136.81/87.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35706,plain,
% 136.81/87.46 (((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146)) <=> ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35707,plain,
% 136.81/87.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35706])).
% 136.81/87.46 tff(35708,plain,
% 136.81/87.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145)))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35707, 35705])).
% 136.81/87.46 tff(35709,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB145, constB146)) | (~v102(constB145)) | v104(constB146))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35710,plain,
% 136.81/87.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB145, constB146)) | v104(constB146) | (~v102(constB145))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35709, 35708])).
% 136.81/87.46 tff(35711,plain,
% 136.81/87.46 (v104(constB146) | (~v102(constB145))),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35710, 604, 35593])).
% 136.81/87.46 tff(35712,plain,
% 136.81/87.46 (~v102(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35711, 35704])).
% 136.81/87.46 tff(35713,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB145) | (~v106(constB145)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB145) | (~v106(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35714,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB145) | (~v106(constB145)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35715,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB145) | (~v106(constB145))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35714, 35713])).
% 136.81/87.46 tff(35716,plain,
% 136.81/87.46 (~v106(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35715, 619, 35712])).
% 136.81/87.46 tff(35717,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | v106(constB145) | (~v107(constB145)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35718,plain,
% 136.81/87.46 ((v26(constB145) | (~v107(constB145)) | v106(constB145)) <=> (v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35719,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | v106(constB145) | (~v107(constB145))))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35718])).
% 136.81/87.46 tff(35720,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145)))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35719, 35717])).
% 136.81/87.46 tff(35721,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB145) | (~v107(constB145)) | v106(constB145))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35722,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB145) | v106(constB145) | (~v107(constB145))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35721, 35720])).
% 136.81/87.46 tff(35723,plain,
% 136.81/87.46 (v106(constB145) | (~v107(constB145))),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35722, 644, 35582])).
% 136.81/87.46 tff(35724,plain,
% 136.81/87.46 (~v107(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35723, 35716])).
% 136.81/87.46 tff(35725,assumption,(~v107(constB145)), introduced(assumption)).
% 136.81/87.46 tff(35726,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB145) | (~v108(constB145)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB145) | (~v108(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35727,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB145) | (~v108(constB145)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35728,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB145) | (~v108(constB145))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35727, 35726])).
% 136.81/87.46 tff(35729,plain,
% 136.81/87.46 (~v108(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35728, 658, 35725])).
% 136.81/87.46 tff(35730,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB145) | (~v109(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB145) | (~v109(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35731,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB145) | (~v109(constB145)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35732,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB145) | (~v109(constB145))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35731, 35730])).
% 136.81/87.46 tff(35733,plain,
% 136.81/87.46 (~v109(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35732, 669, 35729])).
% 136.81/87.46 tff(35734,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB145) | (~v110(constB145)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB145) | (~v110(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35735,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB145) | (~v110(constB145)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35736,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB145) | (~v110(constB145))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35735, 35734])).
% 136.81/87.46 tff(35737,plain,
% 136.81/87.46 (~v110(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35736, 680, 35733])).
% 136.81/87.46 tff(35738,plain,
% 136.81/87.46 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB145) | (~v111(constB145)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB145) | (~v111(constB145)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35739,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB145) | (~v111(constB145)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35740,plain,
% 136.81/87.46 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB145) | (~v111(constB145))),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35739, 35738])).
% 136.81/87.46 tff(35741,plain,
% 136.81/87.46 (~v111(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35740, 691, 35737])).
% 136.81/87.46 tff(35742,plain,
% 136.81/87.46 (~v106(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35577, 3161, 35725])).
% 136.81/87.46 tff(35743,plain,
% 136.81/87.46 (~v102(constB145)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35589, 35742])).
% 136.81/87.46 tff(35744,plain,
% 136.81/87.46 (~v104(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35600, 35743])).
% 136.81/87.46 tff(35745,plain,
% 136.81/87.46 (~v94(constB146)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35605, 35744])).
% 136.81/87.46 tff(35746,plain,
% 136.81/87.46 (~v84(constB145, bitIndex1)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35617, 35745, 35607])).
% 136.81/87.46 tff(35747,assumption,(~v84(constB146, bitIndex2)), introduced(assumption)).
% 136.81/87.46 tff(35748,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB145, bitIndex2)) | v84(constB146, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB145, bitIndex2)) | v84(constB146, bitIndex2))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35749,plain,
% 136.81/87.46 (((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB145, bitIndex2))) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB145, bitIndex2)) | v84(constB146, bitIndex2))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35750,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB145, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB145, bitIndex2)) | v84(constB146, bitIndex2)))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35749])).
% 136.81/87.46 tff(35751,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB145, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB145, bitIndex2)) | v84(constB146, bitIndex2))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35750, 35748])).
% 136.81/87.46 tff(35752,plain,
% 136.81/87.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB145, bitIndex2)))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35753,plain,
% 136.81/87.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB145, bitIndex2)) | v84(constB146, bitIndex2)),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35752, 35751])).
% 136.81/87.46 tff(35754,plain,
% 136.81/87.46 (v94(constB146) | (~v84(constB145, bitIndex2))),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35753, 777, 767, 35593, 35747])).
% 136.81/87.46 tff(35755,plain,
% 136.81/87.46 (~v84(constB145, bitIndex2)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35754, 35745])).
% 136.81/87.46 tff(35756,assumption,(~v145(constB145)), introduced(assumption)).
% 136.81/87.46 tff(35757,plain,
% 136.81/87.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)) | v145(constB145))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)) | v145(constB145))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35758,plain,
% 136.81/87.46 (((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v145(constB145)) <=> (v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)) | v145(constB145))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35759,plain,
% 136.81/87.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v145(constB145))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)) | v145(constB145)))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35758])).
% 136.81/87.46 tff(35760,plain,
% 136.81/87.46 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v145(constB145))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)) | v145(constB145))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35759, 35757])).
% 136.81/87.46 tff(35761,plain,
% 136.81/87.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | v145(constB145))),
% 136.81/87.46 inference(quant_inst,[status(thm)],[])).
% 136.81/87.46 tff(35762,plain,
% 136.81/87.46 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)) | v145(constB145)),
% 136.81/87.46 inference(modus_ponens,[status(thm)],[35761, 35760])).
% 136.81/87.46 tff(35763,plain,
% 136.81/87.46 (v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35762, 865, 35756, 35529])).
% 136.81/87.46 tff(35764,plain,
% 136.81/87.46 (~v84(constB145, bitIndex0)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35763, 35400])).
% 136.81/87.46 tff(35765,plain,
% 136.81/87.46 (~v84(constB144, bitIndex0)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35497, 35764])).
% 136.81/87.46 tff(35766,plain,
% 136.81/87.46 (~v84(constB144, bitIndex1)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35423, 35400])).
% 136.81/87.46 tff(35767,plain,
% 136.81/87.46 (~v84(constB144, bitIndex2)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35532, 35529])).
% 136.81/87.46 tff(35768,plain,
% 136.81/87.46 (~v118(constB143)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[34804, 2642, 34504])).
% 136.81/87.46 tff(35769,plain,
% 136.81/87.46 (v84(constB142, bitIndex2)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[34618, 35768, 34475, 34241])).
% 136.81/87.46 tff(35770,plain,
% 136.81/87.46 (v84(constB143, bitIndex2)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[34423, 35769])).
% 136.81/87.46 tff(35771,plain,
% 136.81/87.46 (v94(constB144)),
% 136.81/87.46 inference(unit_resolution,[status(thm)],[35477, 35770])).
% 136.81/87.46 tff(35772,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB144)) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35773,plain,
% 136.81/87.46 (((~less_3(bitIndex2)) | (~v94(constB144)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2))) <=> ((~v94(constB144)) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)))),
% 136.81/87.46 inference(rewrite,[status(thm)],[])).
% 136.81/87.46 tff(35774,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB144)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB144)) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2))))),
% 136.81/87.46 inference(monotonicity,[status(thm)],[35773])).
% 136.81/87.46 tff(35775,plain,
% 136.81/87.46 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB144)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)))),
% 136.81/87.46 inference(transitivity,[status(thm)],[35774, 35772])).
% 136.81/87.47 tff(35776,plain,
% 136.81/87.47 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex2)) | (~v94(constB144)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35777,plain,
% 136.81/87.47 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB144)) | (~less_3(bitIndex2)) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35776, 35775])).
% 136.81/87.47 tff(35778,plain,
% 136.81/87.47 ((~v94(constB144)) | (~v123(constB144, bitIndex2))),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35777, 1674, 767, 35470])).
% 136.81/87.47 tff(35779,plain,
% 136.81/87.47 (~v123(constB144, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35778, 35771])).
% 136.81/87.47 tff(35780,plain,
% 136.81/87.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex2)) | v123(constB144, bitIndex2) | (~v121(constB143, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex2)) | v123(constB144, bitIndex2) | (~v121(constB143, bitIndex2)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35781,plain,
% 136.81/87.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB143, constB144)) | (~less_3(bitIndex2)) | v123(constB144, bitIndex2) | (~v121(constB143, bitIndex2)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35782,plain,
% 136.81/87.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB143, constB144)) | (~less_3(bitIndex2)) | v123(constB144, bitIndex2) | (~v121(constB143, bitIndex2))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35781, 35780])).
% 136.81/87.47 tff(35783,plain,
% 136.81/87.47 (~v121(constB143, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35782, 1708, 767, 34430, 35779])).
% 136.81/87.47 tff(35784,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex2)) | v121(constB143, bitIndex2) | (~v124(constB143, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex2)) | v121(constB143, bitIndex2) | (~v124(constB143, bitIndex2)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35785,plain,
% 136.81/87.47 ((v26(constB143) | v121(constB143, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB143, bitIndex2))) <=> (v26(constB143) | (~less_3(bitIndex2)) | v121(constB143, bitIndex2) | (~v124(constB143, bitIndex2)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35786,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB143, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | (~less_3(bitIndex2)) | v121(constB143, bitIndex2) | (~v124(constB143, bitIndex2))))),
% 136.81/87.47 inference(monotonicity,[status(thm)],[35785])).
% 136.81/87.47 tff(35787,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB143, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex2)) | v121(constB143, bitIndex2) | (~v124(constB143, bitIndex2)))),
% 136.81/87.47 inference(transitivity,[status(thm)],[35786, 35784])).
% 136.81/87.47 tff(35788,plain,
% 136.81/87.47 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB143) | v121(constB143, bitIndex2) | (~less_3(bitIndex2)) | (~v124(constB143, bitIndex2)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35789,plain,
% 136.81/87.47 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB143) | (~less_3(bitIndex2)) | v121(constB143, bitIndex2) | (~v124(constB143, bitIndex2))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35788, 35787])).
% 136.81/87.47 tff(35790,plain,
% 136.81/87.47 (~v124(constB143, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35789, 1728, 767, 34666, 35783])).
% 136.81/87.47 tff(35791,plain,
% 136.81/87.47 (v172(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34624, 35770, 34504])).
% 136.81/87.47 tff(35792,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB143)) | v124(constB143, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB143)) | v124(constB143, bitIndex2))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35793,plain,
% 136.81/87.47 (((~v172(constB143)) | (~less_3(bitIndex2)) | v124(constB143, bitIndex2) | (~b110(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB143)) | v124(constB143, bitIndex2))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35794,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB143)) | (~less_3(bitIndex2)) | v124(constB143, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB143)) | v124(constB143, bitIndex2)))),
% 136.81/87.47 inference(monotonicity,[status(thm)],[35793])).
% 136.81/87.47 tff(35795,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB143)) | (~less_3(bitIndex2)) | v124(constB143, bitIndex2) | (~b110(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB143)) | v124(constB143, bitIndex2))),
% 136.81/87.47 inference(transitivity,[status(thm)],[35794, 35792])).
% 136.81/87.47 tff(35796,plain,
% 136.81/87.47 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB143)) | (~less_3(bitIndex2)) | v124(constB143, bitIndex2) | (~b110(bitIndex2)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35797,plain,
% 136.81/87.47 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex2)) | (~b110(bitIndex2)) | (~v172(constB143)) | v124(constB143, bitIndex2)),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35796, 35795])).
% 136.81/87.47 tff(35798,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35797, 2066, 1798, 767, 35791, 35790])).
% 136.81/87.47 tff(35799,plain,(v84(constB143, bitIndex0) | v84(constB144, bitIndex2) | v84(constB143, bitIndex1) | v145(constB143)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35800,plain,
% 136.81/87.47 (v84(constB143, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35799, 34241, 35470, 34475])).
% 136.81/87.47 tff(35801,plain,
% 136.81/87.47 (v94(constB144)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35217, 35800, 34425])).
% 136.81/87.47 tff(35802,plain,
% 136.81/87.47 (~v123(constB144, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34945, 1674, 795, 35801, 34425])).
% 136.81/87.47 tff(35803,plain,
% 136.81/87.47 (~v121(constB143, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34950, 1708, 795, 34430, 35802])).
% 136.81/87.47 tff(35804,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB143, bitIndex1) | (~v116(constB143)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB143, bitIndex1) | (~v116(constB143)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35805,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB143, bitIndex1) | (~v116(constB143)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35806,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB143, bitIndex1) | (~v116(constB143))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35805, 35804])).
% 136.81/87.47 tff(35807,plain,
% 136.81/87.47 (~v116(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35806, 1268, 34241])).
% 136.81/87.47 tff(35808,plain,
% 136.81/87.47 (~v115(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34990, 3011, 35800])).
% 136.81/87.47 tff(35809,plain,
% 136.81/87.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB143, bitIndex0)) | (~v113(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB143, bitIndex0)) | (~v113(constB143)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35810,plain,
% 136.81/87.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB143, bitIndex0)) | (~v113(constB143)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35811,plain,
% 136.81/87.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB143, bitIndex0)) | (~v113(constB143))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35810, 35809])).
% 136.81/87.47 tff(35812,plain,
% 136.81/87.47 (~v113(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35811, 2764, 35800])).
% 136.81/87.47 tff(35813,plain,
% 136.81/87.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB143, bitIndex0)) | (~v172(constB143)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB143, bitIndex0)) | (~v172(constB143)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35814,plain,
% 136.81/87.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB143, bitIndex0)) | (~v172(constB143)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35815,plain,
% 136.81/87.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB143, bitIndex0)) | (~v172(constB143))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35814, 35813])).
% 136.81/87.47 tff(35816,plain,
% 136.81/87.47 (~v172(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35815, 7708, 35800])).
% 136.81/87.47 tff(35817,plain,
% 136.81/87.47 (v124(constB143, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34977, 35816, 34475, 35812, 35808, 35807])).
% 136.81/87.47 tff(35818,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34957, 1728, 795, 34666, 35817, 35803])).
% 136.81/87.47 tff(35819,plain,(v84(constB143, bitIndex1) | v84(constB144, bitIndex0) | v145(constB143) | v84(constB144, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35820,plain,
% 136.81/87.47 (v84(constB143, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35819, 34425, 34475, 35470])).
% 136.81/87.47 tff(35821,plain,
% 136.81/87.47 (v84(constB143, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34986, 34425, 34475, 35820])).
% 136.81/87.47 tff(35822,plain,
% 136.81/87.47 (v94(constB144)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35217, 35821, 34425])).
% 136.81/87.47 tff(35823,plain,
% 136.81/87.47 (~v123(constB144, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35778, 35822])).
% 136.81/87.47 tff(35824,plain,
% 136.81/87.47 (~v121(constB143, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35782, 1708, 767, 34430, 35823])).
% 136.81/87.47 tff(35825,plain,
% 136.81/87.47 (~v124(constB143, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35789, 1728, 767, 34666, 35824])).
% 136.81/87.47 tff(35826,plain,
% 136.81/87.47 (~v115(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34990, 3011, 35821])).
% 136.81/87.47 tff(35827,plain,
% 136.81/87.47 (~v172(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34902, 2289, 35820])).
% 136.81/87.47 tff(35828,plain,
% 136.81/87.47 (~v113(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34885, 1465, 35820])).
% 136.81/87.47 tff(35829,plain,
% 136.81/87.47 (~v123(constB144, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34946, 35822])).
% 136.81/87.47 tff(35830,plain,
% 136.81/87.47 (~v121(constB143, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34950, 1708, 795, 34430, 35829])).
% 136.81/87.47 tff(35831,plain,
% 136.81/87.47 (~v124(constB143, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34957, 1728, 795, 34666, 35830])).
% 136.81/87.47 tff(35832,plain,
% 136.81/87.47 (v116(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34977, 35831, 34475, 35828, 35827, 35826])).
% 136.81/87.47 tff(35833,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB143)) | v124(constB143, bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB143)) | v124(constB143, bitIndex2))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35834,plain,
% 136.81/87.47 (((~v116(constB143)) | (~less_3(bitIndex2)) | v124(constB143, bitIndex2) | (~b100(bitIndex2))) <=> ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB143)) | v124(constB143, bitIndex2))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35835,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB143)) | (~less_3(bitIndex2)) | v124(constB143, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB143)) | v124(constB143, bitIndex2)))),
% 136.81/87.47 inference(monotonicity,[status(thm)],[35834])).
% 136.81/87.47 tff(35836,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB143)) | (~less_3(bitIndex2)) | v124(constB143, bitIndex2) | (~b100(bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB143)) | v124(constB143, bitIndex2))),
% 136.81/87.47 inference(transitivity,[status(thm)],[35835, 35833])).
% 136.81/87.47 tff(35837,plain,
% 136.81/87.47 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | ((~v116(constB143)) | (~less_3(bitIndex2)) | v124(constB143, bitIndex2) | (~b100(bitIndex2)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35838,plain,
% 136.81/87.47 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b100(B)))) | (~less_3(bitIndex2)) | (~b100(bitIndex2)) | (~v116(constB143)) | v124(constB143, bitIndex2)),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35837, 35836])).
% 136.81/87.47 tff(35839,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35838, 1772, 1769, 767, 35832, 35825])).
% 136.81/87.47 tff(35840,plain,(v84(constB144, bitIndex0) | v145(constB143) | v84(constB144, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35841,plain,
% 136.81/87.47 (v145(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35840, 35765, 35767])).
% 136.81/87.47 tff(35842,plain,
% 136.81/87.47 (v124(constB143, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34720, 35841])).
% 136.81/87.47 tff(35843,plain,
% 136.81/87.47 (v121(constB143, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34709, 35842])).
% 136.81/87.47 tff(35844,plain,
% 136.81/87.47 (v123(constB144, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34698, 35843])).
% 136.81/87.47 tff(35845,plain,
% 136.81/87.47 (~v94(constB144)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34690, 35844, 35766])).
% 136.81/87.47 tff(35846,plain,
% 136.81/87.47 (~v84(constB143, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35217, 35845, 35765])).
% 136.81/87.47 tff(35847,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35224, 788, 35841, 35846])).
% 136.81/87.47 tff(35848,plain,(v84(constB145, bitIndex1) | v145(constB145) | v84(constB145, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35849,plain,
% 136.81/87.47 (v145(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35848, 35755, 35746])).
% 136.81/87.47 tff(35850,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB145) | (~v145(constB145)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB145) | (~v145(constB145)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35851,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB145) | (~v145(constB145)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35852,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB145) | (~v145(constB145))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35851, 35850])).
% 136.81/87.47 tff(35853,plain,
% 136.81/87.47 (v112(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35852, 713, 35849])).
% 136.81/87.47 tff(35854,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB145) | (~v112(constB145)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB145) | (~v112(constB145)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35855,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB145) | (~v112(constB145)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35856,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB145) | (~v112(constB145))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35855, 35854])).
% 136.81/87.47 tff(35857,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35856, 702, 35853, 35741])).
% 136.81/87.47 tff(35858,plain,(v107(constB145) | v84(constB146, bitIndex2) | v84(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35859,plain,
% 136.81/87.47 (v84(constB146, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35858, 35724, 35607])).
% 136.81/87.47 tff(35860,assumption,(v84(constB146, bitIndex2)), introduced(assumption)).
% 136.81/87.47 tff(35861,assumption,(~v84(constB147, bitIndex2)), introduced(assumption)).
% 136.81/87.47 tff(35862,plain,
% 136.81/87.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB147, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB147, bitIndex2))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35863,plain,
% 136.81/87.47 (((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB147, bitIndex2) | (~v84(constB146, bitIndex2))) <=> ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB147, bitIndex2))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35864,plain,
% 136.81/87.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB147, bitIndex2) | (~v84(constB146, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB147, bitIndex2)))),
% 136.81/87.47 inference(monotonicity,[status(thm)],[35863])).
% 136.81/87.47 tff(35865,plain,
% 136.81/87.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB147, bitIndex2) | (~v84(constB146, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB147, bitIndex2))),
% 136.81/87.47 inference(transitivity,[status(thm)],[35864, 35862])).
% 136.81/87.47 tff(35866,plain,
% 136.81/87.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB147, bitIndex2) | (~v84(constB146, bitIndex2)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35867,plain,
% 136.81/87.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB147, bitIndex2)),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35866, 35865])).
% 136.81/87.47 tff(35868,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35867, 777, 767, 35626, 35638, 35861, 35860])).
% 136.81/87.47 tff(35869,plain,(v84(constB147, bitIndex2) | (~v84(constB146, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35870,plain,
% 136.81/87.47 (v84(constB147, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35869, 35859])).
% 136.81/87.47 tff(35871,assumption,(v84(constB147, bitIndex1)), introduced(assumption)).
% 136.81/87.47 tff(35872,plain,
% 136.81/87.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35873,plain,
% 136.81/87.47 (((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB147, bitIndex1)) | v84(constB146, bitIndex1)) <=> ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35874,plain,
% 136.81/87.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB147, bitIndex1)) | v84(constB146, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1))))),
% 136.81/87.47 inference(monotonicity,[status(thm)],[35873])).
% 136.81/87.47 tff(35875,plain,
% 136.81/87.47 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB147, bitIndex1)) | v84(constB146, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1)))),
% 136.81/87.47 inference(transitivity,[status(thm)],[35874, 35872])).
% 136.81/87.47 tff(35876,plain,
% 136.81/87.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | (~v84(constB147, bitIndex1)) | v84(constB146, bitIndex1))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35877,plain,
% 136.81/87.47 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v84(constB147, bitIndex1))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35876, 35875])).
% 136.81/87.47 tff(35878,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35877, 805, 823, 35626, 35638, 35871, 35607])).
% 136.81/87.47 tff(35879,plain,((~v84(constB147, bitIndex1)) | v84(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35880,plain,
% 136.81/87.47 (~v84(constB147, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35879, 35607])).
% 136.81/87.47 tff(35881,assumption,(v116(constB147)), introduced(assumption)).
% 136.81/87.47 tff(35882,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB147, bitIndex1) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB147, bitIndex1) | (~v116(constB147)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35883,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | (v84(constB147, bitIndex1) | (~v116(constB147)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35884,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v116(VarCurr)))) | v84(constB147, bitIndex1) | (~v116(constB147))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35883, 35882])).
% 136.81/87.47 tff(35885,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35884, 1268, 35881, 35620])).
% 136.81/87.47 tff(35886,plain,(v84(constB147, bitIndex1) | (~v116(constB147))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35887,plain,
% 136.81/87.47 (~v116(constB147)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35886, 35880])).
% 136.81/87.47 tff(35888,plain,
% 136.81/87.47 (~v108(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35728, 658, 35724])).
% 136.81/87.47 tff(35889,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB145) | (~v118(constB145)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB145) | (~v118(constB145)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35890,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB145) | (~v118(constB145)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35891,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB145) | (~v118(constB145))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35890, 35889])).
% 136.81/87.47 tff(35892,plain,
% 136.81/87.47 (~v118(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35891, 1004, 35888])).
% 136.81/87.47 tff(35893,plain,
% 136.81/87.47 (~v84(constB144, bitIndex0)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35497, 35492])).
% 136.81/87.47 tff(35894,plain,
% 136.81/87.47 (v145(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35848, 35529, 35400])).
% 136.81/87.47 tff(35895,plain,
% 136.81/87.47 (v94(constB144)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35482, 35894])).
% 136.81/87.47 tff(35896,plain,
% 136.81/87.47 (~v123(constB144, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34690, 35895, 35766])).
% 136.81/87.47 tff(35897,plain,
% 136.81/87.47 (v145(constB143)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35840, 35767, 34425])).
% 136.81/87.47 tff(35898,plain,
% 136.81/87.47 (v124(constB143, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34720, 35897])).
% 136.81/87.47 tff(35899,plain,
% 136.81/87.47 (v121(constB143, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34709, 35898])).
% 136.81/87.47 tff(35900,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[34698, 35899, 35896])).
% 136.81/87.47 tff(35901,plain,(v84(constB145, bitIndex2) | v84(constB144, bitIndex0) | v84(constB145, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35902,plain,
% 136.81/87.47 (v84(constB145, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35901, 35400, 35893])).
% 136.81/87.47 tff(35903,assumption,(~v172(constB145)), introduced(assumption)).
% 136.81/87.47 tff(35904,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35905,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35906,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145)),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35905, 35904])).
% 136.81/87.47 tff(35907,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35906, 1047, 35492, 35400, 35903, 35902])).
% 136.81/87.47 tff(35908,plain,(v172(constB145) | v84(constB145, bitIndex0) | v84(constB145, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35909,plain,
% 136.81/87.47 (v172(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35908, 35492, 35400])).
% 136.81/87.47 tff(35910,assumption,(~v124(constB145, bitIndex1)), introduced(assumption)).
% 136.81/87.47 tff(35911,assumption,(v172(constB145)), introduced(assumption)).
% 136.81/87.47 tff(35912,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB145)) | (~b110(bitIndex1)) | v124(constB145, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB145)) | (~b110(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35913,plain,
% 136.81/87.47 (((~v172(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v172(constB145)) | (~b110(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35914,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~v172(constB145)) | (~b110(bitIndex1)) | v124(constB145, bitIndex1)))),
% 136.81/87.47 inference(monotonicity,[status(thm)],[35913])).
% 136.81/87.47 tff(35915,plain,
% 136.81/87.47 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB145)) | (~b110(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.47 inference(transitivity,[status(thm)],[35914, 35912])).
% 136.81/87.47 tff(35916,plain,
% 136.81/87.47 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b110(bitIndex1)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35917,plain,
% 136.81/87.47 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~v172(constB145)) | (~b110(bitIndex1)) | v124(constB145, bitIndex1)),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35916, 35915])).
% 136.81/87.47 tff(35918,plain,
% 136.81/87.47 ($false),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35917, 1801, 1798, 823, 35911, 35910])).
% 136.81/87.47 tff(35919,plain,(v124(constB145, bitIndex1) | (~v172(constB145))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.47 tff(35920,plain,
% 136.81/87.47 (v124(constB145, bitIndex1)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35919, 35909])).
% 136.81/87.47 tff(35921,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB145) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB145) | (~v119(constB145)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35922,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB145) | (~v119(constB145)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35923,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB145) | (~v119(constB145))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35922, 35921])).
% 136.81/87.47 tff(35924,plain,
% 136.81/87.47 (~v119(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35923, 1927, 35724])).
% 136.81/87.47 tff(35925,plain,
% 136.81/87.47 (~v109(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35732, 669, 35888])).
% 136.81/87.47 tff(35926,plain,
% 136.81/87.47 (~v110(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35736, 680, 35925])).
% 136.81/87.47 tff(35927,plain,
% 136.81/87.47 (~v111(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35740, 691, 35926])).
% 136.81/87.47 tff(35928,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB145) | (~v115(constB145)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB145) | (~v115(constB145)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35929,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB145) | (~v115(constB145)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35930,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB145) | (~v115(constB145))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35929, 35928])).
% 136.81/87.47 tff(35931,plain,
% 136.81/87.47 (~v115(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35930, 945, 35927])).
% 136.81/87.47 tff(35932,plain,
% 136.81/87.47 (~v112(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35856, 702, 35927])).
% 136.81/87.47 tff(35933,plain,
% 136.81/87.47 (~v145(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35852, 713, 35932])).
% 136.81/87.47 tff(35934,plain,
% 136.81/87.47 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB145) | (~v172(constB145)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB145) | (~v172(constB145)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35935,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB145) | (~v172(constB145)))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35936,plain,
% 136.81/87.47 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB145) | (~v172(constB145))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35935, 35934])).
% 136.81/87.47 tff(35937,plain,
% 136.81/87.47 (~v172(constB145)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35936, 1033, 35925])).
% 136.81/87.47 tff(35938,plain,
% 136.81/87.47 (v84(constB145, bitIndex2)),
% 136.81/87.47 inference(unit_resolution,[status(thm)],[35848, 35400, 35756])).
% 136.81/87.47 tff(35939,assumption,(~v118(constB145)), introduced(assumption)).
% 136.81/87.47 tff(35940,plain,
% 136.81/87.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145) | (~v84(constB145, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145) | (~v84(constB145, bitIndex0)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35941,plain,
% 136.81/87.47 (((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145)) <=> (v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145) | (~v84(constB145, bitIndex0)))),
% 136.81/87.47 inference(rewrite,[status(thm)],[])).
% 136.81/87.47 tff(35942,plain,
% 136.81/87.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145) | (~v84(constB145, bitIndex0))))),
% 136.81/87.47 inference(monotonicity,[status(thm)],[35941])).
% 136.81/87.47 tff(35943,plain,
% 136.81/87.47 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145) | (~v84(constB145, bitIndex0)))),
% 136.81/87.47 inference(transitivity,[status(thm)],[35942, 35940])).
% 136.81/87.47 tff(35944,plain,
% 136.81/87.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB145, bitIndex0)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145))),
% 136.81/87.47 inference(quant_inst,[status(thm)],[])).
% 136.81/87.47 tff(35945,plain,
% 136.81/87.47 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v118(constB145) | (~v84(constB145, bitIndex0))),
% 136.81/87.47 inference(modus_ponens,[status(thm)],[35944, 35943])).
% 136.81/87.47 tff(35946,plain,
% 136.81/87.47 (v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex0))),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35945, 1018, 35939])).
% 136.81/87.48 tff(35947,plain,
% 136.81/87.48 (~v84(constB145, bitIndex0)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35946, 35400, 35938])).
% 136.81/87.48 tff(35948,plain,
% 136.81/87.48 (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2))),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35906, 1047, 35903])).
% 136.81/87.48 tff(35949,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35948, 35947, 35400, 35938])).
% 136.81/87.48 tff(35950,plain,(v84(constB145, bitIndex1) | v172(constB145) | v118(constB145) | v145(constB145)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(35951,plain,
% 136.81/87.48 (v84(constB145, bitIndex1)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35950, 35937, 35892, 35933])).
% 136.81/87.48 tff(35952,assumption,(~v119(constB145)), introduced(assumption)).
% 136.81/87.48 tff(35953,plain,
% 136.81/87.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB145) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB145) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35954,plain,
% 136.81/87.48 ((v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145)) <=> (v119(constB145) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35955,plain,
% 136.81/87.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v119(constB145) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2))))),
% 136.81/87.48 inference(monotonicity,[status(thm)],[35954])).
% 136.81/87.48 tff(35956,plain,
% 136.81/87.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB145) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)))),
% 136.81/87.48 inference(transitivity,[status(thm)],[35955, 35953])).
% 136.81/87.48 tff(35957,plain,
% 136.81/87.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)) | v119(constB145))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(35958,plain,
% 136.81/87.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v119(constB145) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2))),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[35957, 35956])).
% 136.81/87.48 tff(35959,plain,
% 136.81/87.48 (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2))),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35958, 1910, 35952])).
% 136.81/87.48 tff(35960,plain,
% 136.81/87.48 (~v84(constB145, bitIndex2)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35959, 35492, 35608])).
% 136.81/87.48 tff(35961,assumption,(~v115(constB145)), introduced(assumption)).
% 136.81/87.48 tff(35962,plain,
% 136.81/87.48 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35963,plain,
% 136.81/87.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(35964,plain,
% 136.81/87.48 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2) | v115(constB145)),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[35963, 35962])).
% 136.81/87.48 tff(35965,plain,
% 136.81/87.48 (v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex2)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35964, 1095, 35961])).
% 136.81/87.48 tff(35966,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35965, 35960, 35492, 35608])).
% 136.81/87.48 tff(35967,plain,(v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v115(constB145) | v119(constB145)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(35968,plain,
% 136.81/87.48 (v84(constB145, bitIndex0)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35967, 35951, 35931, 35924])).
% 136.81/87.48 tff(35969,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB146, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB146, bitIndex0))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35970,plain,
% 136.81/87.48 (((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB145, bitIndex0))) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB146, bitIndex0))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35971,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB145, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB146, bitIndex0)))),
% 136.81/87.48 inference(monotonicity,[status(thm)],[35970])).
% 136.81/87.48 tff(35972,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB145, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB146, bitIndex0))),
% 136.81/87.48 inference(transitivity,[status(thm)],[35971, 35969])).
% 136.81/87.48 tff(35973,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v84(constB145, bitIndex0)))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(35974,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB145, bitIndex0)) | v84(constB146, bitIndex0)),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[35973, 35972])).
% 136.81/87.48 tff(35975,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35974, 777, 795, 35593, 35609, 35968, 35663])).
% 136.81/87.48 tff(35976,plain,(v84(constB146, bitIndex0) | v94(constB146)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(35977,plain,
% 136.81/87.48 (v84(constB146, bitIndex0)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35976, 35609])).
% 136.81/87.48 tff(35978,assumption,(v84(constB146, bitIndex0)), introduced(assumption)).
% 136.81/87.48 tff(35979,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB146, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB146, bitIndex0)))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35980,plain,
% 136.81/87.48 (((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB145, bitIndex0)) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB146, bitIndex0)))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35981,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB145, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB146, bitIndex0))))),
% 136.81/87.48 inference(monotonicity,[status(thm)],[35980])).
% 136.81/87.48 tff(35982,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB145, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB146, bitIndex0)))),
% 136.81/87.48 inference(transitivity,[status(thm)],[35981, 35979])).
% 136.81/87.48 tff(35983,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB145, bitIndex0))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(35984,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex0)) | v84(constB145, bitIndex0) | (~v84(constB146, bitIndex0))),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[35983, 35982])).
% 136.81/87.48 tff(35985,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35984, 805, 795, 35593, 35609, 35492, 35978])).
% 136.81/87.48 tff(35986,plain,((~v84(constB146, bitIndex0)) | v94(constB146) | v84(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(35987,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35986, 35977, 35609, 35492])).
% 136.81/87.48 tff(35988,plain,(v94(constB146) | v84(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(35989,plain,
% 136.81/87.48 (v94(constB146)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35988, 35492])).
% 136.81/87.48 tff(35990,assumption,(v123(constB146, bitIndex1)), introduced(assumption)).
% 136.81/87.48 tff(35991,assumption,(v94(constB146)), introduced(assumption)).
% 136.81/87.48 tff(35992,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB146)) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB146)) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35993,plain,
% 136.81/87.48 (((~less_3(bitIndex1)) | (~v94(constB146)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1))) <=> ((~v94(constB146)) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(35994,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB146)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB146)) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1))))),
% 136.81/87.48 inference(monotonicity,[status(thm)],[35993])).
% 136.81/87.48 tff(35995,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB146)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB146)) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 136.81/87.48 inference(transitivity,[status(thm)],[35994, 35992])).
% 136.81/87.48 tff(35996,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB146)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1)))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(35997,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB146)) | (~less_3(bitIndex1)) | v84(constB146, bitIndex1) | (~v123(constB146, bitIndex1))),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[35996, 35995])).
% 136.81/87.48 tff(35998,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35997, 1674, 823, 35991, 35990, 35607])).
% 136.81/87.48 tff(35999,plain,(v84(constB146, bitIndex1) | (~v94(constB146)) | (~v123(constB146, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(36000,plain,
% 136.81/87.48 (~v123(constB146, bitIndex1)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35999, 35989, 35607])).
% 136.81/87.48 tff(36001,assumption,(v121(constB145, bitIndex1)), introduced(assumption)).
% 136.81/87.48 tff(36002,assumption,(~v123(constB146, bitIndex1)), introduced(assumption)).
% 136.81/87.48 tff(36003,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex1)) | v123(constB146, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex1)) | v123(constB146, bitIndex1) | (~v121(constB145, bitIndex1)))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36004,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex1)) | v123(constB146, bitIndex1) | (~v121(constB145, bitIndex1)))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(36005,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex1)) | v123(constB146, bitIndex1) | (~v121(constB145, bitIndex1))),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[36004, 36003])).
% 136.81/87.48 tff(36006,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36005, 1708, 823, 35593, 36002, 36001])).
% 136.81/87.48 tff(36007,plain,(v123(constB146, bitIndex1) | (~v121(constB145, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(36008,plain,
% 136.81/87.48 (~v121(constB145, bitIndex1)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36007, 36000])).
% 136.81/87.48 tff(36009,assumption,(~v121(constB145, bitIndex1)), introduced(assumption)).
% 136.81/87.48 tff(36010,assumption,(v124(constB145, bitIndex1)), introduced(assumption)).
% 136.81/87.48 tff(36011,plain,
% 136.81/87.48 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36012,plain,
% 136.81/87.48 ((v26(constB145) | v121(constB145, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1))) <=> (v26(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36013,plain,
% 136.81/87.48 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | v121(constB145, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1)))),
% 136.81/87.48 inference(monotonicity,[status(thm)],[36012])).
% 136.81/87.48 tff(36014,plain,
% 136.81/87.48 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | v121(constB145, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1))),
% 136.81/87.48 inference(transitivity,[status(thm)],[36013, 36011])).
% 136.81/87.48 tff(36015,plain,
% 136.81/87.48 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | v121(constB145, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(36016,plain,
% 136.81/87.48 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | v121(constB145, bitIndex1)),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[36015, 36014])).
% 136.81/87.48 tff(36017,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36016, 1728, 823, 35582, 36010, 36009])).
% 136.81/87.48 tff(36018,plain,(v121(constB145, bitIndex1) | (~v124(constB145, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(36019,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36018, 36008, 35920])).
% 136.81/87.48 tff(36020,plain,(v84(constB145, bitIndex0) | v84(constB146, bitIndex1) | v84(constB145, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(36021,plain,
% 136.81/87.48 (v84(constB145, bitIndex0)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36020, 35400, 35607])).
% 136.81/87.48 tff(36022,plain,
% 136.81/87.48 (~v84(constB145, bitIndex2)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[35945, 1018, 36021, 35892, 35400])).
% 136.81/87.48 tff(36023,assumption,(~v116(constB147)), introduced(assumption)).
% 136.81/87.48 tff(36024,assumption,(~v145(constB147)), introduced(assumption)).
% 136.81/87.48 tff(36025,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36026,plain,
% 136.81/87.48 (((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB147, bitIndex0) | (~v84(constB146, bitIndex0))) <=> ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36027,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB147, bitIndex0) | (~v84(constB146, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0)))),
% 136.81/87.48 inference(monotonicity,[status(thm)],[36026])).
% 136.81/87.48 tff(36028,plain,
% 136.81/87.48 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB147, bitIndex0) | (~v84(constB146, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0))),
% 136.81/87.48 inference(transitivity,[status(thm)],[36027, 36025])).
% 136.81/87.48 tff(36029,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | v84(constB147, bitIndex0) | (~v84(constB146, bitIndex0)))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(36030,plain,
% 136.81/87.48 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex0)) | (~v84(constB146, bitIndex0)) | v84(constB147, bitIndex0)),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[36029, 36028])).
% 136.81/87.48 tff(36031,plain,
% 136.81/87.48 ($false),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36030, 777, 795, 35626, 35638, 35653, 35978])).
% 136.81/87.48 tff(36032,plain,(v84(constB147, bitIndex0) | (~v84(constB146, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.48 tff(36033,plain,
% 136.81/87.48 (v84(constB147, bitIndex0)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36032, 35977])).
% 136.81/87.48 tff(36034,plain,
% 136.81/87.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v116(constB147))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v116(constB147))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36035,plain,
% 136.81/87.48 (((~v84(constB147, bitIndex0)) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v116(constB147)) <=> ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v116(constB147))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36036,plain,
% 136.81/87.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB147, bitIndex0)) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v116(constB147))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v116(constB147)))),
% 136.81/87.48 inference(monotonicity,[status(thm)],[36035])).
% 136.81/87.48 tff(36037,plain,
% 136.81/87.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB147, bitIndex0)) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v116(constB147))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v116(constB147))),
% 136.81/87.48 inference(transitivity,[status(thm)],[36036, 36034])).
% 136.81/87.48 tff(36038,plain,
% 136.81/87.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | ((~v84(constB147, bitIndex0)) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v116(constB147))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(36039,plain,
% 136.81/87.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v116(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v116(constB147)),
% 136.81/87.48 inference(modus_ponens,[status(thm)],[36038, 36037])).
% 136.81/87.48 tff(36040,plain,
% 136.81/87.48 ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1))),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36039, 1076, 36023])).
% 136.81/87.48 tff(36041,plain,
% 136.81/87.48 (~v84(constB147, bitIndex1)),
% 136.81/87.48 inference(unit_resolution,[status(thm)],[36040, 35861, 35664])).
% 136.81/87.48 tff(36042,plain,
% 136.81/87.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB147) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB147) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36043,plain,
% 136.81/87.48 (((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147)) <=> (v145(constB147) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))),
% 136.81/87.48 inference(rewrite,[status(thm)],[])).
% 136.81/87.48 tff(36044,plain,
% 136.81/87.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | (v145(constB147) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2)))),
% 136.81/87.48 inference(monotonicity,[status(thm)],[36043])).
% 136.81/87.48 tff(36045,plain,
% 136.81/87.48 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB147) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))),
% 136.81/87.48 inference(transitivity,[status(thm)],[36044, 36042])).
% 136.81/87.48 tff(36046,plain,
% 136.81/87.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | v145(constB147))),
% 136.81/87.48 inference(quant_inst,[status(thm)],[])).
% 136.81/87.48 tff(36047,plain,
% 136.81/87.48 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | v145(VarCurr))) | v145(constB147) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2)),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36046, 36045])).
% 136.81/87.49 tff(36048,plain,
% 136.81/87.49 ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36047, 865, 36024])).
% 136.81/87.49 tff(36049,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36048, 36041, 35861, 35664])).
% 136.81/87.49 tff(36050,plain,(v84(constB147, bitIndex2) | (~v84(constB147, bitIndex0)) | v145(constB147) | v116(constB147)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36051,plain,
% 136.81/87.49 (v84(constB147, bitIndex2)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36050, 36033, 36024, 36023])).
% 136.81/87.49 tff(36052,assumption,(v84(constB147, bitIndex2)), introduced(assumption)).
% 136.81/87.49 tff(36053,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36054,plain,
% 136.81/87.49 (((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB147, bitIndex2)) | v84(constB146, bitIndex2)) <=> ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36055,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB147, bitIndex2)) | v84(constB146, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2))))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36054])).
% 136.81/87.49 tff(36056,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB147, bitIndex2)) | v84(constB146, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2)))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36055, 36053])).
% 136.81/87.49 tff(36057,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | (~v84(constB147, bitIndex2)) | v84(constB146, bitIndex2))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36058,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB146, constB147)) | v94(constB147) | (~less_3(bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB147, bitIndex2))),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36057, 36056])).
% 136.81/87.49 tff(36059,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36058, 805, 767, 35626, 35638, 36052, 35747])).
% 136.81/87.49 tff(36060,plain,((~v84(constB147, bitIndex2)) | v84(constB146, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36061,plain,
% 136.81/87.49 (v84(constB146, bitIndex2)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36060, 36051])).
% 136.81/87.49 tff(36062,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB146, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB146, bitIndex2)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36063,plain,
% 136.81/87.49 (((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB145, bitIndex2)) <=> ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB146, bitIndex2)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36064,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB145, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB146, bitIndex2))))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36063])).
% 136.81/87.49 tff(36065,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB145, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB146, bitIndex2)))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36064, 36062])).
% 136.81/87.49 tff(36066,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | (~v84(constB146, bitIndex2)) | v84(constB145, bitIndex2))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36067,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB145, constB146)) | v94(constB146) | (~less_3(bitIndex2)) | v84(constB145, bitIndex2) | (~v84(constB146, bitIndex2))),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36066, 36065])).
% 136.81/87.49 tff(36068,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36067, 805, 767, 35593, 35609, 36061, 35529])).
% 136.81/87.49 tff(36069,plain,(v94(constB146) | v84(constB145, bitIndex2) | v145(constB147) | v116(constB147)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36070,plain,
% 136.81/87.49 (v145(constB147)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36069, 36022, 35609, 35887])).
% 136.81/87.49 tff(36071,plain,
% 136.81/87.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB147)) | (~v84(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB147)) | (~v84(constB147, bitIndex2)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36072,plain,
% 136.81/87.49 (((~v84(constB147, bitIndex2)) | (~v145(constB147))) <=> ((~v145(constB147)) | (~v84(constB147, bitIndex2)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36073,plain,
% 136.81/87.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB147, bitIndex2)) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB147)) | (~v84(constB147, bitIndex2))))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36072])).
% 136.81/87.49 tff(36074,plain,
% 136.81/87.49 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB147, bitIndex2)) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB147)) | (~v84(constB147, bitIndex2)))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36073, 36071])).
% 136.81/87.49 tff(36075,plain,
% 136.81/87.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB147, bitIndex2)) | (~v145(constB147)))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36076,plain,
% 136.81/87.49 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB147)) | (~v84(constB147, bitIndex2))),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36075, 36074])).
% 136.81/87.49 tff(36077,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36076, 725, 36070, 35870])).
% 136.81/87.49 tff(36078,plain,(v94(constB146) | v84(constB145, bitIndex1) | v84(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36079,plain,
% 136.81/87.49 (v94(constB146)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36078, 35400, 35607])).
% 136.81/87.49 tff(36080,plain,
% 136.81/87.49 (~v123(constB146, bitIndex1)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35999, 36079, 35607])).
% 136.81/87.49 tff(36081,plain,
% 136.81/87.49 (~v121(constB145, bitIndex1)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36007, 36080])).
% 136.81/87.49 tff(36082,plain,
% 136.81/87.49 (~v124(constB145, bitIndex1)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36018, 36081])).
% 136.81/87.49 tff(36083,plain,
% 136.81/87.49 (~v172(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35919, 36082])).
% 136.81/87.49 tff(36084,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB145)) | (~b010(bitIndex1)) | v124(constB145, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB145)) | (~b010(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36085,plain,
% 136.81/87.49 (((~v145(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b010(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v145(constB145)) | (~b010(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36086,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~less_3(bitIndex1)) | (~v145(constB145)) | (~b010(bitIndex1)) | v124(constB145, bitIndex1)))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36085])).
% 136.81/87.49 tff(36087,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b010(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB145)) | (~b010(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36086, 36084])).
% 136.81/87.49 tff(36088,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | ((~v145(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b010(bitIndex1)))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36089,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b010(B)))) | (~less_3(bitIndex1)) | (~v145(constB145)) | (~b010(bitIndex1)) | v124(constB145, bitIndex1)),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36088, 36087])).
% 136.81/87.49 tff(36090,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36089, 1821, 1818, 823, 35440, 35910])).
% 136.81/87.49 tff(36091,plain,((~v145(constB145)) | v124(constB145, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36092,plain,
% 136.81/87.49 (~v145(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36091, 36082])).
% 136.81/87.49 tff(36093,plain,
% 136.81/87.49 (v118(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35950, 36092, 35400, 36083])).
% 136.81/87.49 tff(36094,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36095,plain,
% 136.81/87.49 (((~v118(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v118(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36096,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v118(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1)))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36095])).
% 136.81/87.49 tff(36097,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36096, 36094])).
% 136.81/87.49 tff(36098,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b011(bitIndex1)))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36099,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v118(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1)),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36098, 36097])).
% 136.81/87.49 tff(36100,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36099, 3033, 1145, 823, 36093, 36082])).
% 136.81/87.49 tff(36101,plain,(v84(constB145, bitIndex1) | v84(constB146, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36102,plain,
% 136.81/87.49 (v84(constB145, bitIndex1)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36101, 35681])).
% 136.81/87.49 tff(36103,plain,
% 136.81/87.49 (v94(constB146)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35617, 35681, 36102])).
% 136.81/87.49 tff(36104,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB146)) | (~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB146)) | (~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36105,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB146)) | (~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36106,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB146)) | (~v84(constB146, bitIndex0)) | v123(constB146, bitIndex0)),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36105, 36104])).
% 136.81/87.49 tff(36107,plain,
% 136.81/87.49 (v123(constB146, bitIndex0)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36106, 1344, 795, 36103, 35673])).
% 136.81/87.49 tff(36108,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex0)) | (~v123(constB146, bitIndex0)) | v121(constB145, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex0)) | (~v123(constB146, bitIndex0)) | v121(constB145, bitIndex0))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36109,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex0)) | (~v123(constB146, bitIndex0)) | v121(constB145, bitIndex0))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36110,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex0)) | (~v123(constB146, bitIndex0)) | v121(constB145, bitIndex0)),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36109, 36108])).
% 136.81/87.49 tff(36111,plain,
% 136.81/87.49 (v121(constB145, bitIndex0)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36110, 1362, 795, 35593, 36107])).
% 136.81/87.49 tff(36112,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex0)) | (~v121(constB145, bitIndex0)) | v124(constB145, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex0)) | (~v121(constB145, bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36113,plain,
% 136.81/87.49 ((v26(constB145) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~v121(constB145, bitIndex0))) <=> (v26(constB145) | (~less_3(bitIndex0)) | (~v121(constB145, bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36114,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~v121(constB145, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex0)) | (~v121(constB145, bitIndex0)) | v124(constB145, bitIndex0)))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36113])).
% 136.81/87.49 tff(36115,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~v121(constB145, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex0)) | (~v121(constB145, bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36114, 36112])).
% 136.81/87.49 tff(36116,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~v121(constB145, bitIndex0)))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36117,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex0)) | (~v121(constB145, bitIndex0)) | v124(constB145, bitIndex0)),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36116, 36115])).
% 136.81/87.49 tff(36118,plain,
% 136.81/87.49 (v124(constB145, bitIndex0)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36117, 1380, 795, 35582, 36111])).
% 136.81/87.49 tff(36119,plain,
% 136.81/87.49 (~v113(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35427, 1465, 36102])).
% 136.81/87.49 tff(36120,plain,
% 136.81/87.49 ((~v94(constB146)) | v84(constB146, bitIndex1)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35997, 1674, 823, 35990])).
% 136.81/87.49 tff(36121,plain,
% 136.81/87.49 (~v94(constB146)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36120, 35607])).
% 136.81/87.49 tff(36122,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35617, 36121, 35607, 35608])).
% 136.81/87.49 tff(36123,plain,(v84(constB146, bitIndex1) | (~v84(constB145, bitIndex1)) | (~v123(constB146, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36124,plain,
% 136.81/87.49 (~v123(constB146, bitIndex1)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36123, 35681, 36102])).
% 136.81/87.49 tff(36125,plain,
% 136.81/87.49 (~v121(constB145, bitIndex1)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36007, 36124])).
% 136.81/87.49 tff(36126,plain,
% 136.81/87.49 (~v124(constB145, bitIndex1)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36018, 36125])).
% 136.81/87.49 tff(36127,plain,
% 136.81/87.49 (~v145(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36091, 36126])).
% 136.81/87.49 tff(36128,plain,
% 136.81/87.49 ((~v112(constB145)) | v113(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35489, 2894, 36127])).
% 136.81/87.49 tff(36129,plain,
% 136.81/87.49 (~v112(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36128, 36119])).
% 136.81/87.49 tff(36130,assumption,(v115(constB145)), introduced(assumption)).
% 136.81/87.49 tff(36131,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36132,plain,
% 136.81/87.49 (((~v115(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b011(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~v115(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36133,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex1)) | (~v115(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1)))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36132])).
% 136.81/87.49 tff(36134,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b011(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36133, 36131])).
% 136.81/87.49 tff(36135,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB145)) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~b011(bitIndex1)))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36136,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex1)) | (~v115(constB145)) | (~b011(bitIndex1)) | v124(constB145, bitIndex1)),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36135, 36134])).
% 136.81/87.49 tff(36137,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36136, 3033, 1193, 823, 36130, 35910])).
% 136.81/87.49 tff(36138,plain,(v124(constB145, bitIndex1) | (~v115(constB145))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36139,plain,
% 136.81/87.49 (~v115(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36138, 36126])).
% 136.81/87.49 tff(36140,plain,
% 136.81/87.49 (~v111(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35505, 2911, 36139, 36129])).
% 136.81/87.49 tff(36141,assumption,(v84(constB145, bitIndex0)), introduced(assumption)).
% 136.81/87.49 tff(36142,plain,
% 136.81/87.49 (~v119(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35568, 3173, 36141])).
% 136.81/87.49 tff(36143,plain,
% 136.81/87.49 (~v84(constB147, bitIndex2)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36076, 725, 35652])).
% 136.81/87.49 tff(36144,plain,
% 136.81/87.49 (~v84(constB146, bitIndex2)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35869, 36143])).
% 136.81/87.49 tff(36145,plain,
% 136.81/87.49 (v107(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35858, 35681, 36144])).
% 136.81/87.49 tff(36146,plain,
% 136.81/87.49 (v108(constB145) | v119(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35572, 3195, 36145])).
% 136.81/87.49 tff(36147,plain,
% 136.81/87.49 (v108(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36146, 36142])).
% 136.81/87.49 tff(36148,plain,
% 136.81/87.49 (~v118(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35556, 2842, 36102])).
% 136.81/87.49 tff(36149,plain,
% 136.81/87.49 (v109(constB145) | (~v108(constB145))),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35560, 2856, 36148])).
% 136.81/87.49 tff(36150,plain,
% 136.81/87.49 (v109(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36149, 36147])).
% 136.81/87.49 tff(36151,plain,
% 136.81/87.49 (~v172(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35919, 36126])).
% 136.81/87.49 tff(36152,plain,
% 136.81/87.49 ((~v109(constB145)) | v110(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35551, 2871, 36151])).
% 136.81/87.49 tff(36153,plain,
% 136.81/87.49 (v110(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36152, 36150])).
% 136.81/87.49 tff(36154,plain,
% 136.81/87.49 (v116(constB145)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35540, 2932, 36153, 36140])).
% 136.81/87.49 tff(36155,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB145)) | (~v124(constB145, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB145)) | (~v124(constB145, bitIndex0)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36156,plain,
% 136.81/87.49 (((~v116(constB145)) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB145)) | (~v124(constB145, bitIndex0)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36157,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB145)) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB145)) | (~v124(constB145, bitIndex0))))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36156])).
% 136.81/87.49 tff(36158,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB145)) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB145)) | (~v124(constB145, bitIndex0)))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36157, 36155])).
% 136.81/87.49 tff(36159,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB145)) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | b100(bitIndex0))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36160,plain,
% 136.81/87.49 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB145)) | (~v124(constB145, bitIndex0))),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36159, 36158])).
% 136.81/87.49 tff(36161,plain,
% 136.81/87.49 ($false),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36160, 2386, 2164, 795, 36154, 36118])).
% 136.81/87.49 tff(36162,plain,((~v145(constB147)) | (~v84(constB145, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.49 tff(36163,plain,
% 136.81/87.49 (~v145(constB147)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36162, 35498])).
% 136.81/87.49 tff(36164,plain,
% 136.81/87.49 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB147) | v113(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB147) | v113(constB147) | (~v112(constB147)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36165,plain,
% 136.81/87.49 ((v113(constB147) | (~v112(constB147)) | v145(constB147)) <=> (v145(constB147) | v113(constB147) | (~v112(constB147)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36166,plain,
% 136.81/87.49 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB147) | (~v112(constB147)) | v145(constB147))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v145(constB147) | v113(constB147) | (~v112(constB147))))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36165])).
% 136.81/87.49 tff(36167,plain,
% 136.81/87.49 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB147) | (~v112(constB147)) | v145(constB147))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB147) | v113(constB147) | (~v112(constB147)))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36166, 36164])).
% 136.81/87.49 tff(36168,plain,
% 136.81/87.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB147) | (~v112(constB147)) | v145(constB147))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36169,plain,
% 136.81/87.49 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | v145(constB147) | v113(constB147) | (~v112(constB147))),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36168, 36167])).
% 136.81/87.49 tff(36170,plain,
% 136.81/87.49 (v113(constB147) | (~v112(constB147))),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36169, 2894, 36163])).
% 136.81/87.49 tff(36171,plain,
% 136.81/87.49 (~v112(constB147)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36170, 35651])).
% 136.81/87.49 tff(36172,plain,
% 136.81/87.49 (~v84(constB146, bitIndex0)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36032, 35653])).
% 136.81/87.49 tff(36173,plain,
% 136.81/87.49 (v94(constB146)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[35976, 36172])).
% 136.81/87.49 tff(36174,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB146)) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB146)) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36175,plain,
% 136.81/87.49 (((~less_3(bitIndex0)) | (~v94(constB146)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0))) <=> ((~v94(constB146)) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36176,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB146)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB146)) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0))))),
% 136.81/87.49 inference(monotonicity,[status(thm)],[36175])).
% 136.81/87.49 tff(36177,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB146)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB146)) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)))),
% 136.81/87.49 inference(transitivity,[status(thm)],[36176, 36174])).
% 136.81/87.49 tff(36178,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex0)) | (~v94(constB146)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0)))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36179,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB146)) | (~less_3(bitIndex0)) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0))),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36178, 36177])).
% 136.81/87.49 tff(36180,plain,
% 136.81/87.49 (~v123(constB146, bitIndex0)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36179, 1674, 795, 36173, 36172])).
% 136.81/87.49 tff(36181,plain,
% 136.81/87.49 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex0)) | v123(constB146, bitIndex0) | (~v121(constB145, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex0)) | v123(constB146, bitIndex0) | (~v121(constB145, bitIndex0)))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36182,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex0)) | v123(constB146, bitIndex0) | (~v121(constB145, bitIndex0)))),
% 136.81/87.49 inference(quant_inst,[status(thm)],[])).
% 136.81/87.49 tff(36183,plain,
% 136.81/87.49 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex0)) | v123(constB146, bitIndex0) | (~v121(constB145, bitIndex0))),
% 136.81/87.49 inference(modus_ponens,[status(thm)],[36182, 36181])).
% 136.81/87.49 tff(36184,plain,
% 136.81/87.49 (~v121(constB145, bitIndex0)),
% 136.81/87.49 inference(unit_resolution,[status(thm)],[36183, 1708, 795, 35593, 36180])).
% 136.81/87.49 tff(36185,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36186,plain,
% 136.81/87.49 ((v26(constB145) | v121(constB145, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0))) <=> (v26(constB145) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 136.81/87.49 inference(rewrite,[status(thm)],[])).
% 136.81/87.49 tff(36187,plain,
% 136.81/87.49 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | v121(constB145, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)))),
% 136.81/87.50 inference(monotonicity,[status(thm)],[36186])).
% 136.81/87.50 tff(36188,plain,
% 136.81/87.50 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | v121(constB145, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0))),
% 136.81/87.50 inference(transitivity,[status(thm)],[36187, 36185])).
% 136.81/87.50 tff(36189,plain,
% 136.81/87.50 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB145) | v121(constB145, bitIndex0) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36190,plain,
% 136.81/87.50 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex0)) | (~v124(constB145, bitIndex0)) | v121(constB145, bitIndex0)),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36189, 36188])).
% 136.81/87.50 tff(36191,plain,
% 136.81/87.50 (~v124(constB145, bitIndex0)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36190, 1728, 795, 35582, 36184])).
% 136.81/87.50 tff(36192,assumption,(~v124(constB145, bitIndex0)), introduced(assumption)).
% 136.81/87.50 tff(36193,plain,
% 136.81/87.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36194,plain,
% 136.81/87.50 (((~v115(constB145)) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v115(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36195,plain,
% 136.81/87.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB145)) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v115(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0)))),
% 136.81/87.50 inference(monotonicity,[status(thm)],[36194])).
% 136.81/87.50 tff(36196,plain,
% 136.81/87.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB145)) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.50 inference(transitivity,[status(thm)],[36195, 36193])).
% 136.81/87.50 tff(36197,plain,
% 136.81/87.50 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v115(constB145)) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b011(bitIndex0)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36198,plain,
% 136.81/87.50 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v115(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0)),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36197, 36196])).
% 136.81/87.50 tff(36199,plain,
% 136.81/87.50 ($false),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36198, 1148, 1193, 795, 36130, 36192])).
% 136.81/87.50 tff(36200,plain,(v124(constB145, bitIndex0) | (~v115(constB145))), inference(lemma,lemma(discharge,[]))).
% 136.81/87.50 tff(36201,plain,
% 136.81/87.50 (~v115(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36200, 36191])).
% 136.81/87.50 tff(36202,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB147, bitIndex0) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB147, bitIndex0) | (~v116(constB147)))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36203,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB147, bitIndex0) | (~v116(constB147)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36204,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB147, bitIndex0) | (~v116(constB147))),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36203, 36202])).
% 136.81/87.50 tff(36205,plain,
% 136.81/87.50 (~v116(constB147)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36204, 10948, 35653])).
% 136.81/87.50 tff(36206,plain,
% 136.81/87.50 (~v145(constB147)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35661, 35653])).
% 136.81/87.50 tff(36207,plain,
% 136.81/87.50 (v84(constB144, bitIndex1)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35208, 35893, 1])).
% 136.81/87.50 tff(36208,plain,
% 136.81/87.50 (v84(constB145, bitIndex1)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35423, 36207])).
% 136.81/87.50 tff(36209,plain,
% 136.81/87.50 (v84(constB145, bitIndex2)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35965, 36208, 35492])).
% 136.81/87.50 tff(36210,assumption,(v84(constB145, bitIndex2)), introduced(assumption)).
% 136.81/87.50 tff(36211,plain,
% 136.81/87.50 (~v84(constB146, bitIndex2)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35867, 777, 767, 35626, 35638, 35861])).
% 136.81/87.50 tff(36212,plain,
% 136.81/87.50 (v94(constB146)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35753, 777, 767, 35593, 36211, 36210])).
% 136.81/87.50 tff(36213,plain,
% 136.81/87.50 (~v84(constB147, bitIndex0)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36050, 35861, 36023, 36024])).
% 136.81/87.50 tff(36214,plain,
% 136.81/87.50 (~v84(constB146, bitIndex0)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36030, 777, 795, 35626, 35638, 36213])).
% 136.81/87.50 tff(36215,plain,
% 136.81/87.50 ((~v94(constB146)) | (~v123(constB146, bitIndex0))),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36179, 1674, 795, 36214])).
% 136.81/87.50 tff(36216,plain,
% 136.81/87.50 (~v123(constB146, bitIndex0)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36215, 36212])).
% 136.81/87.50 tff(36217,plain,
% 136.81/87.50 (~v121(constB145, bitIndex0)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36183, 1708, 795, 35593, 36216])).
% 136.81/87.50 tff(36218,plain,
% 136.81/87.50 (~v145(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35459, 816, 35608])).
% 136.81/87.50 tff(36219,plain,
% 136.81/87.50 (~v118(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35556, 2842, 35608])).
% 136.81/87.50 tff(36220,plain,
% 136.81/87.50 (v119(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35958, 1910, 35492, 35608, 36210])).
% 136.81/87.50 tff(36221,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB145, bitIndex0) | (~v116(constB145)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB145, bitIndex0) | (~v116(constB145)))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36222,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | (v84(constB145, bitIndex0) | (~v116(constB145)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36223,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v116(VarCurr)))) | v84(constB145, bitIndex0) | (~v116(constB145))),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36222, 36221])).
% 136.81/87.50 tff(36224,plain,
% 136.81/87.50 (~v116(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36223, 10948, 35492])).
% 136.81/87.50 tff(36225,plain,
% 136.81/87.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v115(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v115(constB145)))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36226,plain,
% 136.81/87.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB145, bitIndex2)) | (~v115(constB145)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36227,plain,
% 136.81/87.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB145, bitIndex2)) | (~v115(constB145))),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36226, 36225])).
% 136.81/87.50 tff(36228,plain,
% 136.81/87.50 (~v115(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36227, 2665, 36210])).
% 136.81/87.50 tff(36229,assumption,(v119(constB145)), introduced(assumption)).
% 136.81/87.50 tff(36230,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB145)) | v84(constB145, bitIndex2))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB145)) | v84(constB145, bitIndex2))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36231,plain,
% 136.81/87.50 ((v84(constB145, bitIndex2) | (~v119(constB145))) <=> ((~v119(constB145)) | v84(constB145, bitIndex2))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36232,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB145, bitIndex2) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | ((~v119(constB145)) | v84(constB145, bitIndex2)))),
% 136.81/87.50 inference(monotonicity,[status(thm)],[36231])).
% 136.81/87.50 tff(36233,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB145, bitIndex2) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB145)) | v84(constB145, bitIndex2))),
% 136.81/87.50 inference(transitivity,[status(thm)],[36232, 36230])).
% 136.81/87.50 tff(36234,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (v84(constB145, bitIndex2) | (~v119(constB145)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36235,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v119(VarCurr)))) | (~v119(constB145)) | v84(constB145, bitIndex2)),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36234, 36233])).
% 136.81/87.50 tff(36236,plain,
% 136.81/87.50 (v84(constB145, bitIndex2)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36235, 7833, 36229])).
% 136.81/87.50 tff(36237,plain,
% 136.81/87.50 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB145)) | (~v84(constB145, bitIndex2)))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36238,plain,
% 136.81/87.50 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | ((~v113(constB145)) | (~v84(constB145, bitIndex2)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36239,plain,
% 136.81/87.50 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex2)))) | (~v113(constB145)) | (~v84(constB145, bitIndex2))),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36238, 36237])).
% 136.81/87.50 tff(36240,plain,
% 136.81/87.50 (~v113(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36239, 1119, 36236])).
% 136.81/87.50 tff(36241,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB145)) | v84(constB145, bitIndex1))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB145)) | v84(constB145, bitIndex1))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36242,plain,
% 136.81/87.50 ((v84(constB145, bitIndex1) | (~v119(constB145))) <=> ((~v119(constB145)) | v84(constB145, bitIndex1))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36243,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB145, bitIndex1) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | ((~v119(constB145)) | v84(constB145, bitIndex1)))),
% 136.81/87.50 inference(monotonicity,[status(thm)],[36242])).
% 136.81/87.50 tff(36244,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB145, bitIndex1) | (~v119(constB145)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB145)) | v84(constB145, bitIndex1))),
% 136.81/87.50 inference(transitivity,[status(thm)],[36243, 36241])).
% 136.81/87.50 tff(36245,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (v84(constB145, bitIndex1) | (~v119(constB145)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36246,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex1) | (~v119(VarCurr)))) | (~v119(constB145)) | v84(constB145, bitIndex1)),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36245, 36244])).
% 136.81/87.50 tff(36247,plain,
% 136.81/87.50 (v84(constB145, bitIndex1)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36246, 9858, 36229])).
% 136.81/87.50 tff(36248,plain,
% 136.81/87.50 (~v172(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35544, 2289, 36247])).
% 136.81/87.50 tff(36249,assumption,(~v116(constB145)), introduced(assumption)).
% 136.81/87.50 tff(36250,plain,
% 136.81/87.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~b001(bitIndex0)) | v124(constB145, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~b001(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36251,plain,
% 136.81/87.50 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b001(bitIndex0))) <=> ((~less_3(bitIndex0)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~b001(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36252,plain,
% 136.81/87.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | ((~less_3(bitIndex0)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~b001(bitIndex0)) | v124(constB145, bitIndex0)))),
% 136.81/87.50 inference(monotonicity,[status(thm)],[36251])).
% 136.81/87.50 tff(36253,plain,
% 136.81/87.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b001(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~b001(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.81/87.50 inference(transitivity,[status(thm)],[36252, 36250])).
% 136.81/87.50 tff(36254,plain,
% 136.81/87.50 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b001(bitIndex0)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36255,plain,
% 136.81/87.50 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~b001(B)))) | (~less_3(bitIndex0)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~b001(bitIndex0)) | v124(constB145, bitIndex0)),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36254, 36253])).
% 136.81/87.50 tff(36256,plain,
% 136.81/87.50 (v172(constB145) | v113(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36255, 1213, 1210, 795, 35756, 35939, 36249, 35961, 36192])).
% 136.81/87.50 tff(36257,plain,
% 136.81/87.50 ($false),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36256, 36248, 36240])).
% 136.81/87.50 tff(36258,plain,((~v119(constB145)) | v145(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v124(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.50 tff(36259,plain,
% 136.81/87.50 (v124(constB145, bitIndex0)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36258, 36228, 36224, 36220, 36219, 36218])).
% 136.81/87.50 tff(36260,plain,
% 136.81/87.50 ($false),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36190, 1728, 795, 35582, 36259, 36217])).
% 136.81/87.50 tff(36261,plain,(v84(constB147, bitIndex2) | (~v84(constB145, bitIndex2)) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | v116(constB147) | v145(constB147)), inference(lemma,lemma(discharge,[]))).
% 136.81/87.50 tff(36262,plain,
% 136.81/87.50 (v84(constB147, bitIndex2)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36261, 36209, 36024, 36023, 36208, 35492])).
% 136.81/87.50 tff(36263,plain,
% 136.81/87.50 (v84(constB146, bitIndex2)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36060, 36262])).
% 136.81/87.50 tff(36264,plain,
% 136.81/87.50 (~v113(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36239, 1119, 36210])).
% 136.81/87.50 tff(36265,plain,
% 136.81/87.50 (~v116(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35536, 1130, 36210])).
% 136.81/87.50 tff(36266,plain,
% 136.81/87.50 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB145, bitIndex0) | (~v118(constB145)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB145, bitIndex0) | (~v118(constB145)))),
% 136.81/87.50 inference(rewrite,[status(thm)],[])).
% 136.81/87.50 tff(36267,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB145, bitIndex0) | (~v118(constB145)))),
% 136.81/87.50 inference(quant_inst,[status(thm)],[])).
% 136.81/87.50 tff(36268,plain,
% 136.81/87.50 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB145, bitIndex0) | (~v118(constB145))),
% 136.81/87.50 inference(modus_ponens,[status(thm)],[36267, 36266])).
% 136.81/87.50 tff(36269,plain,
% 136.81/87.50 (~v118(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[36268, 2642, 35492])).
% 136.81/87.50 tff(36270,assumption,(v124(constB145, bitIndex2)), introduced(assumption)).
% 136.81/87.50 tff(36271,plain,
% 136.81/87.50 (~v145(constB145)),
% 136.81/87.50 inference(unit_resolution,[status(thm)],[35443, 725, 36210])).
% 136.81/87.50 tff(36272,plain,
% 136.86/87.50 (~v172(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[35544, 2289, 35608])).
% 136.86/87.50 tff(36273,assumption,(~v113(constB145)), introduced(assumption)).
% 136.86/87.50 tff(36274,plain,
% 136.86/87.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36275,plain,
% 136.86/87.50 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex2)) | (~v124(constB145, bitIndex2)) | b001(bitIndex2)) <=> (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36276,plain,
% 136.86/87.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex2)) | (~v124(constB145, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))))),
% 136.86/87.50 inference(monotonicity,[status(thm)],[36275])).
% 136.86/87.50 tff(36277,plain,
% 136.86/87.50 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex2)) | (~v124(constB145, bitIndex2)) | b001(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex2)))),
% 136.86/87.50 inference(transitivity,[status(thm)],[36276, 36274])).
% 136.86/87.50 tff(36278,plain,
% 136.86/87.50 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex2)) | (~v124(constB145, bitIndex2)) | b001(bitIndex2))),
% 136.86/87.50 inference(quant_inst,[status(thm)],[])).
% 136.86/87.50 tff(36279,plain,
% 136.86/87.50 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex2) | (~less_3(bitIndex2)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex2))),
% 136.86/87.50 inference(modus_ponens,[status(thm)],[36278, 36277])).
% 136.86/87.50 tff(36280,plain,
% 136.86/87.50 (v115(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36279, 2427, 2424, 767, 35756, 35939, 36249, 35903, 36273, 36270])).
% 136.86/87.50 tff(36281,plain,
% 136.86/87.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB145)) | (~v124(constB145, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB145)) | (~v124(constB145, bitIndex2)))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36282,plain,
% 136.86/87.50 (((~v115(constB145)) | (~less_3(bitIndex2)) | (~v124(constB145, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB145)) | (~v124(constB145, bitIndex2)))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36283,plain,
% 136.86/87.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB145)) | (~less_3(bitIndex2)) | (~v124(constB145, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB145)) | (~v124(constB145, bitIndex2))))),
% 136.86/87.50 inference(monotonicity,[status(thm)],[36282])).
% 136.86/87.50 tff(36284,plain,
% 136.86/87.50 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB145)) | (~less_3(bitIndex2)) | (~v124(constB145, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB145)) | (~v124(constB145, bitIndex2)))),
% 136.86/87.50 inference(transitivity,[status(thm)],[36283, 36281])).
% 136.86/87.50 tff(36285,plain,
% 136.86/87.50 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB145)) | (~less_3(bitIndex2)) | (~v124(constB145, bitIndex2)) | b011(bitIndex2))),
% 136.86/87.50 inference(quant_inst,[status(thm)],[])).
% 136.86/87.50 tff(36286,plain,
% 136.86/87.50 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB145)) | (~v124(constB145, bitIndex2))),
% 136.86/87.50 inference(modus_ponens,[status(thm)],[36285, 36284])).
% 136.86/87.50 tff(36287,plain,
% 136.86/87.50 ($false),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36286, 2030, 2257, 767, 36280, 36270])).
% 136.86/87.50 tff(36288,plain,((~v124(constB145, bitIndex2)) | v145(constB145) | v118(constB145) | v116(constB145) | v172(constB145) | v113(constB145)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.50 tff(36289,plain,
% 136.86/87.50 ($false),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36288, 36272, 36271, 36270, 36269, 36265, 36264])).
% 136.86/87.50 tff(36290,plain,((~v124(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0) | (~v84(constB145, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.50 tff(36291,plain,
% 136.86/87.50 (~v124(constB145, bitIndex2)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36290, 36209, 35492, 36208])).
% 136.86/87.50 tff(36292,assumption,(v121(constB145, bitIndex2)), introduced(assumption)).
% 136.86/87.50 tff(36293,assumption,(~v124(constB145, bitIndex2)), introduced(assumption)).
% 136.86/87.50 tff(36294,plain,
% 136.86/87.50 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex2)) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex2)) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36295,plain,
% 136.86/87.50 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex2)) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2)))),
% 136.86/87.50 inference(quant_inst,[status(thm)],[])).
% 136.86/87.50 tff(36296,plain,
% 136.86/87.50 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex2)) | v124(constB145, bitIndex2) | (~v121(constB145, bitIndex2))),
% 136.86/87.50 inference(modus_ponens,[status(thm)],[36295, 36294])).
% 136.86/87.50 tff(36297,plain,
% 136.86/87.50 (v26(constB145) | (~v121(constB145, bitIndex2))),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36296, 1380, 767, 36293])).
% 136.86/87.50 tff(36298,plain,
% 136.86/87.50 (v26(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36297, 36292])).
% 136.86/87.50 tff(36299,plain,
% 136.86/87.50 (((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB145)) | (~less_3(bitIndex2)) | (~v121(constB145, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB145)) | (~less_3(bitIndex2)) | (~v121(constB145, bitIndex2)))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36300,plain,
% 136.86/87.50 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | ((~v26(constB145)) | (~less_3(bitIndex2)) | (~v121(constB145, bitIndex2)))),
% 136.86/87.50 inference(quant_inst,[status(thm)],[])).
% 136.86/87.50 tff(36301,plain,
% 136.86/87.50 ((~![B: $i, VarCurr: $i] : ((~v26(VarCurr)) | (~less_3(B)) | (~v121(VarCurr, B)))) | (~v26(constB145)) | (~less_3(bitIndex2)) | (~v121(constB145, bitIndex2))),
% 136.86/87.50 inference(modus_ponens,[status(thm)],[36300, 36299])).
% 136.86/87.50 tff(36302,plain,
% 136.86/87.50 ($false),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36301, 1398, 767, 36298, 36292])).
% 136.86/87.50 tff(36303,plain,((~v121(constB145, bitIndex2)) | v124(constB145, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.50 tff(36304,plain,
% 136.86/87.50 (~v121(constB145, bitIndex2)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36303, 36291])).
% 136.86/87.50 tff(36305,assumption,(v123(constB146, bitIndex2)), introduced(assumption)).
% 136.86/87.50 tff(36306,assumption,(~v121(constB145, bitIndex2)), introduced(assumption)).
% 136.86/87.50 tff(36307,plain,
% 136.86/87.50 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex2)) | (~v123(constB146, bitIndex2)) | v121(constB145, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex2)) | (~v123(constB146, bitIndex2)) | v121(constB145, bitIndex2))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36308,plain,
% 136.86/87.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex2)) | (~v123(constB146, bitIndex2)) | v121(constB145, bitIndex2))),
% 136.86/87.50 inference(quant_inst,[status(thm)],[])).
% 136.86/87.50 tff(36309,plain,
% 136.86/87.50 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex2)) | (~v123(constB146, bitIndex2)) | v121(constB145, bitIndex2)),
% 136.86/87.50 inference(modus_ponens,[status(thm)],[36308, 36307])).
% 136.86/87.50 tff(36310,plain,
% 136.86/87.50 ($false),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36309, 1362, 767, 35593, 36306, 36305])).
% 136.86/87.50 tff(36311,plain,((~v123(constB146, bitIndex2)) | v121(constB145, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.50 tff(36312,plain,
% 136.86/87.50 (~v123(constB146, bitIndex2)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36311, 36304])).
% 136.86/87.50 tff(36313,assumption,(~v26(constB145)), introduced(assumption)).
% 136.86/87.50 tff(36314,plain,
% 136.86/87.50 (v106(constB145) | (~v107(constB145))),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[35722, 644, 36313])).
% 136.86/87.50 tff(36315,plain,
% 136.86/87.50 (~v107(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36314, 35716])).
% 136.86/87.50 tff(36316,plain,
% 136.86/87.50 (~v108(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[35728, 658, 36315])).
% 136.86/87.50 tff(36317,plain,
% 136.86/87.50 (~v109(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[35732, 669, 36316])).
% 136.86/87.50 tff(36318,plain,
% 136.86/87.50 (v94(constB146) | v84(constB145, bitIndex2)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36067, 805, 767, 35593, 35860])).
% 136.86/87.50 tff(36319,plain,
% 136.86/87.50 (v84(constB145, bitIndex2)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36318, 35609])).
% 136.86/87.50 tff(36320,plain,
% 136.86/87.50 (~v119(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[35923, 1927, 36315])).
% 136.86/87.50 tff(36321,plain,
% 136.86/87.50 (v119(constB145) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2))),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[35958, 1910, 35492])).
% 136.86/87.50 tff(36322,plain,
% 136.86/87.50 (~v84(constB145, bitIndex1)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36321, 36320, 36319])).
% 136.86/87.50 tff(36323,plain,
% 136.86/87.50 (v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)) | v172(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[35906, 1047, 35492])).
% 136.86/87.50 tff(36324,plain,
% 136.86/87.50 (v172(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36323, 36322, 36319])).
% 136.86/87.50 tff(36325,plain,
% 136.86/87.50 ($false),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[35936, 1033, 36324, 36317])).
% 136.86/87.50 tff(36326,plain,(v94(constB146) | v84(constB145, bitIndex0) | v26(constB145) | (~v84(constB146, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.50 tff(36327,plain,
% 136.86/87.50 (v26(constB145)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36326, 35609, 35860, 35492])).
% 136.86/87.50 tff(36328,plain,
% 136.86/87.50 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB145) | (~v26(constB145)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB145) | (~v26(constB145)))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36329,plain,
% 136.86/87.50 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB145) | (~v26(constB145)))),
% 136.86/87.50 inference(quant_inst,[status(thm)],[])).
% 136.86/87.50 tff(36330,plain,
% 136.86/87.50 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB145) | (~v26(constB145))),
% 136.86/87.50 inference(modus_ponens,[status(thm)],[36329, 36328])).
% 136.86/87.50 tff(36331,plain,
% 136.86/87.50 ($false),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36330, 630, 35712, 36327])).
% 136.86/87.50 tff(36332,plain,(v94(constB146) | (~v84(constB146, bitIndex2)) | v84(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.50 tff(36333,plain,
% 136.86/87.50 (v94(constB146)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36332, 35860, 35492])).
% 136.86/87.50 tff(36334,assumption,(~v123(constB146, bitIndex2)), introduced(assumption)).
% 136.86/87.50 tff(36335,plain,
% 136.86/87.50 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB146)) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB146)) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36336,plain,
% 136.86/87.50 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB146)) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2))),
% 136.86/87.50 inference(quant_inst,[status(thm)],[])).
% 136.86/87.50 tff(36337,plain,
% 136.86/87.50 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB146)) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2)),
% 136.86/87.50 inference(modus_ponens,[status(thm)],[36336, 36335])).
% 136.86/87.50 tff(36338,plain,
% 136.86/87.50 ((~v94(constB146)) | (~v84(constB146, bitIndex2))),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36337, 1344, 767, 36334])).
% 136.86/87.50 tff(36339,plain,
% 136.86/87.50 ($false),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36338, 36333, 35860])).
% 136.86/87.50 tff(36340,plain,((~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2) | v84(constB145, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.50 tff(36341,plain,
% 136.86/87.50 ($false),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36340, 36312, 36263, 35492])).
% 136.86/87.50 tff(36342,plain,(v84(constB145, bitIndex0) | v145(constB147) | v116(constB147) | v115(constB145) | v145(constB139)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.50 tff(36343,plain,
% 136.86/87.50 (v84(constB145, bitIndex0)),
% 136.86/87.50 inference(unit_resolution,[status(thm)],[36342, 36206, 36205, 36201, 1])).
% 136.86/87.50 tff(36344,plain,
% 136.86/87.50 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v113(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB145, bitIndex0)) | (~v113(constB145)))),
% 136.86/87.50 inference(rewrite,[status(thm)],[])).
% 136.86/87.50 tff(36345,plain,
% 136.86/87.50 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v113(constB145)))),
% 136.86/87.50 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36346,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v113(VarCurr)))) | (~v84(constB145, bitIndex0)) | (~v113(constB145))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36345, 36344])).
% 136.86/87.51 tff(36347,plain,
% 136.86/87.51 (~v113(constB145)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36346, 2764, 36343])).
% 136.86/87.51 tff(36348,plain,
% 136.86/87.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v172(constB145)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB145, bitIndex0)) | (~v172(constB145)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36349,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | ((~v84(constB145, bitIndex0)) | (~v172(constB145)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36350,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v172(VarCurr)))) | (~v84(constB145, bitIndex0)) | (~v172(constB145))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36349, 36348])).
% 136.86/87.51 tff(36351,plain,
% 136.86/87.51 (~v172(constB145)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36350, 7708, 36343])).
% 136.86/87.51 tff(36352,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36353,plain,
% 136.86/87.51 (((~v118(constB145)) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b011(bitIndex0))) <=> ((~less_3(bitIndex0)) | (~v118(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36354,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB145)) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~less_3(bitIndex0)) | (~v118(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0)))),
% 136.86/87.51 inference(monotonicity,[status(thm)],[36353])).
% 136.86/87.51 tff(36355,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB145)) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b011(bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0))),
% 136.86/87.51 inference(transitivity,[status(thm)],[36354, 36352])).
% 136.86/87.51 tff(36356,plain,
% 136.86/87.51 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | ((~v118(constB145)) | (~less_3(bitIndex0)) | v124(constB145, bitIndex0) | (~b011(bitIndex0)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36357,plain,
% 136.86/87.51 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b011(B)))) | (~less_3(bitIndex0)) | (~v118(constB145)) | (~b011(bitIndex0)) | v124(constB145, bitIndex0)),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36356, 36355])).
% 136.86/87.51 tff(36358,plain,
% 136.86/87.51 (~v118(constB145)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36357, 1148, 1145, 795, 36191])).
% 136.86/87.51 tff(36359,plain,
% 136.86/87.51 (~v84(constB142, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34510, 34504])).
% 136.86/87.51 tff(36360,plain,
% 136.86/87.51 (~v145(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35226, 34504])).
% 136.86/87.51 tff(36361,plain,
% 136.86/87.51 (v84(constB144, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35840, 35893, 34475])).
% 136.86/87.51 tff(36362,plain,
% 136.86/87.51 (v84(constB145, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35532, 36361])).
% 136.86/87.51 tff(36363,plain,
% 136.86/87.51 (v84(constB147, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36261, 36362, 36024, 36023, 36208, 35492])).
% 136.86/87.51 tff(36364,plain,
% 136.86/87.51 (v84(constB146, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36060, 36363])).
% 136.86/87.51 tff(36365,plain,
% 136.86/87.51 (~v124(constB145, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36290, 36362, 35492, 36208])).
% 136.86/87.51 tff(36366,plain,
% 136.86/87.51 (~v121(constB145, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36303, 36365])).
% 136.86/87.51 tff(36367,plain,
% 136.86/87.51 (~v123(constB146, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36311, 36366])).
% 136.86/87.51 tff(36368,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36340, 36367, 36364, 35492])).
% 136.86/87.51 tff(36369,plain,(v84(constB145, bitIndex0) | v145(constB147) | v116(constB147) | v145(constB143) | v145(constB139)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36370,plain,
% 136.86/87.51 (v84(constB145, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36369, 36360, 36023, 36024, 1])).
% 136.86/87.51 tff(36371,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35455, 805, 795, 35406, 35418, 34425, 36141])).
% 136.86/87.51 tff(36372,plain,((~v84(constB145, bitIndex0)) | v84(constB144, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36373,plain,
% 136.86/87.51 (v84(constB144, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36372, 36370])).
% 136.86/87.51 tff(36374,plain,
% 136.86/87.51 (v94(constB144)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35467, 805, 795, 34430, 36373, 34504])).
% 136.86/87.51 tff(36375,plain,
% 136.86/87.51 (v123(constB144, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35337, 1344, 795, 36374, 36373])).
% 136.86/87.51 tff(36376,plain,
% 136.86/87.51 (v121(constB143, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35350, 36375])).
% 136.86/87.51 tff(36377,plain,
% 136.86/87.51 (v124(constB143, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35357, 36376])).
% 136.86/87.51 tff(36378,plain,
% 136.86/87.51 (~v172(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35394, 36377])).
% 136.86/87.51 tff(36379,plain,
% 136.86/87.51 (v84(constB143, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34881, 36378, 36360])).
% 136.86/87.51 tff(36380,plain,
% 136.86/87.51 (v84(constB142, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35061, 36379])).
% 136.86/87.51 tff(36381,plain,
% 136.86/87.51 ((~v94(constB142)) | v123(constB142, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35065, 1344, 823, 34242])).
% 136.86/87.51 tff(36382,plain,
% 136.86/87.51 (v123(constB142, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36381, 34512])).
% 136.86/87.51 tff(36383,plain,
% 136.86/87.51 (v121(constB141, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35074, 36382])).
% 136.86/87.51 tff(36384,plain,
% 136.86/87.51 (v124(constB141, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35081, 1380, 823, 34204, 36383])).
% 136.86/87.51 tff(36385,assumption,(v121(constB141, bitIndex0)), introduced(assumption)).
% 136.86/87.51 tff(36386,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34524, 1708, 795, 34215, 36385, 35084])).
% 136.86/87.51 tff(36387,plain,(v123(constB142, bitIndex0) | (~v121(constB141, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36388,plain,
% 136.86/87.51 (~v121(constB141, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36387, 34521])).
% 136.86/87.51 tff(36389,plain,
% 136.86/87.51 (~v124(constB141, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34531, 1728, 795, 34204, 36388])).
% 136.86/87.51 tff(36390,assumption,(~v124(constB141, bitIndex0)), introduced(assumption)).
% 136.86/87.51 tff(36391,plain,
% 136.86/87.51 (~v118(constB141)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34588, 1148, 1145, 795, 36390])).
% 136.86/87.51 tff(36392,plain,
% 136.86/87.51 (~v115(constB141)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34538, 1148, 1193, 795, 36390])).
% 136.86/87.51 tff(36393,plain,
% 136.86/87.51 (v145(constB141) | v118(constB141) | v115(constB141)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35121, 2601, 2424, 823, 34386, 34385, 34345, 35098])).
% 136.86/87.51 tff(36394,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36393, 36392, 36391, 34056])).
% 136.86/87.51 tff(36395,plain,(v124(constB141, bitIndex0) | v145(constB141) | v113(constB141) | v172(constB141) | v116(constB141) | (~v124(constB141, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36396,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36395, 36389, 36384, 34385, 34056, 34386, 34345])).
% 136.86/87.51 tff(36397,plain,((~v94(constB142)) | v172(constB141) | v145(constB141) | v113(constB141) | v116(constB141) | (~v84(constB142, bitIndex1)) | v84(constB142, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36398,plain,
% 136.86/87.51 (~v94(constB142)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36397, 36380, 34056, 34386, 34345, 34385, 36359])).
% 136.86/87.51 tff(36399,plain,
% 136.86/87.51 (v84(constB142, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34415, 36398])).
% 136.86/87.51 tff(36400,plain,
% 136.86/87.51 (~v119(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35327, 36398])).
% 136.86/87.51 tff(36401,plain,
% 136.86/87.51 (v119(constB143) | (~v84(constB143, bitIndex1)) | (~v84(constB143, bitIndex2))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34915, 1910, 34504])).
% 136.86/87.51 tff(36402,plain,
% 136.86/87.51 (~v84(constB143, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36401, 36400, 36379])).
% 136.86/87.51 tff(36403,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34423, 36402, 36399])).
% 136.86/87.51 tff(36404,plain,(v84(constB143, bitIndex0) | v145(constB141) | v113(constB141) | v116(constB141) | v172(constB141) | v116(constB147) | v145(constB147) | v145(constB139)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36405,plain,
% 136.86/87.51 (v84(constB143, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36404, 36205, 34386, 34345, 34385, 34056, 36206, 1])).
% 136.86/87.51 tff(36406,plain,
% 136.86/87.51 (~v113(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35811, 2764, 36405])).
% 136.86/87.51 tff(36407,plain,
% 136.86/87.51 (~v115(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34990, 3011, 36405])).
% 136.86/87.51 tff(36408,plain,
% 136.86/87.51 (~v119(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34998, 3173, 36405])).
% 136.86/87.51 tff(36409,plain,
% 136.86/87.51 (~v172(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35815, 7708, 36405])).
% 136.86/87.51 tff(36410,plain,
% 136.86/87.51 (v108(constB143) | (~v107(constB143))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35027, 3195, 35383])).
% 136.86/87.51 tff(36411,plain,
% 136.86/87.51 (v108(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36410, 35024])).
% 136.86/87.51 tff(36412,plain,
% 136.86/87.51 (~v123(constB144, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34690, 34426, 34680])).
% 136.86/87.51 tff(36413,plain,
% 136.86/87.51 (~v121(constB143, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34698, 36412])).
% 136.86/87.51 tff(36414,plain,
% 136.86/87.51 (~v124(constB143, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34709, 36413])).
% 136.86/87.51 tff(36415,plain,
% 136.86/87.51 (~v145(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34720, 36414])).
% 136.86/87.51 tff(36416,plain,
% 136.86/87.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB144, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB144, bitIndex1))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36417,plain,
% 136.86/87.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB144, bitIndex1))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36418,plain,
% 136.86/87.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB144, constB145)) | v94(constB145) | (~less_3(bitIndex1)) | (~v84(constB145, bitIndex1)) | v84(constB144, bitIndex1)),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36417, 36416])).
% 136.86/87.51 tff(36419,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36418, 805, 823, 35406, 35418, 34426, 35608])).
% 136.86/87.51 tff(36420,plain,((~v84(constB145, bitIndex1)) | v84(constB144, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36421,plain,
% 136.86/87.51 (~v84(constB145, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36420, 34426])).
% 136.86/87.51 tff(36422,plain,
% 136.86/87.51 (~v84(constB145, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35946, 36421, 36141])).
% 136.86/87.51 tff(36423,plain,
% 136.86/87.51 (~v84(constB144, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35532, 36422])).
% 136.86/87.51 tff(36424,plain,
% 136.86/87.51 (v84(constB143, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34800, 34241, 34475, 35800])).
% 136.86/87.51 tff(36425,plain,
% 136.86/87.51 (v84(constB142, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34797, 36424])).
% 136.86/87.51 tff(36426,plain,
% 136.86/87.51 (v84(constB142, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34825, 35800])).
% 136.86/87.51 tff(36427,plain,
% 136.86/87.51 (~v84(constB141, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34879, 36426, 36425, 34486])).
% 136.86/87.51 tff(36428,plain,
% 136.86/87.51 (v123(constB142, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34851, 34762])).
% 136.86/87.51 tff(36429,plain,
% 136.86/87.51 (v121(constB141, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34855, 1362, 795, 34215, 36428])).
% 136.86/87.51 tff(36430,plain,
% 136.86/87.51 (v124(constB141, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34859, 1380, 795, 34204, 36429])).
% 136.86/87.51 tff(36431,plain,
% 136.86/87.51 (~v172(constB141)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34367, 5263, 33754])).
% 136.86/87.51 tff(36432,plain,
% 136.86/87.51 (~v84(constB141, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34879, 34505, 34418, 34230])).
% 136.86/87.51 tff(36433,plain,
% 136.86/87.51 (v113(constB141)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35125, 34766, 36432, 36431])).
% 136.86/87.51 tff(36434,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB141)) | (~v124(constB141, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36435,plain,
% 136.86/87.51 (((~v113(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36436,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB141)) | (~v124(constB141, bitIndex0))))),
% 136.86/87.51 inference(monotonicity,[status(thm)],[36435])).
% 136.86/87.51 tff(36437,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB141)) | (~v124(constB141, bitIndex0)))),
% 136.86/87.51 inference(transitivity,[status(thm)],[36436, 36434])).
% 136.86/87.51 tff(36438,plain,
% 136.86/87.51 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB141)) | (~less_3(bitIndex0)) | (~v124(constB141, bitIndex0)) | b100(bitIndex0))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36439,plain,
% 136.86/87.51 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB141)) | (~v124(constB141, bitIndex0))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36438, 36437])).
% 136.86/87.51 tff(36440,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36439, 2386, 2186, 795, 36433, 36430])).
% 136.86/87.51 tff(36441,plain,(v84(constB141, bitIndex2) | v84(constB142, bitIndex1) | (~v84(constB142, bitIndex0)) | (~v84(constB142, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36442,plain,
% 136.86/87.51 (v84(constB141, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36441, 34486, 36426, 36425])).
% 136.86/87.51 tff(36443,plain,
% 136.86/87.51 (~v84(constB141, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34749, 36442, 36427])).
% 136.86/87.51 tff(36444,plain,
% 136.86/87.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB142, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB142, bitIndex0)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36445,plain,
% 136.86/87.51 (((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB142, bitIndex0)) | v84(constB141, bitIndex0)) <=> ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB142, bitIndex0)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36446,plain,
% 136.86/87.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB142, bitIndex0)) | v84(constB141, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB142, bitIndex0))))),
% 136.86/87.51 inference(monotonicity,[status(thm)],[36445])).
% 136.86/87.51 tff(36447,plain,
% 136.86/87.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB142, bitIndex0)) | v84(constB141, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB142, bitIndex0)))),
% 136.86/87.51 inference(transitivity,[status(thm)],[36446, 36444])).
% 136.86/87.51 tff(36448,plain,
% 136.86/87.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | (~v84(constB142, bitIndex0)) | v84(constB141, bitIndex0))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36449,plain,
% 136.86/87.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB141, constB142)) | v94(constB142) | (~less_3(bitIndex0)) | v84(constB141, bitIndex0) | (~v84(constB142, bitIndex0))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36448, 36447])).
% 136.86/87.51 tff(36450,plain,
% 136.86/87.51 (v94(constB142) | v84(constB141, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36449, 805, 795, 34215, 36426])).
% 136.86/87.51 tff(36451,plain,
% 136.86/87.51 (v94(constB142)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36450, 36443])).
% 136.86/87.51 tff(36452,plain,
% 136.86/87.51 ((~v94(constB142)) | v123(constB142, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34850, 1344, 795, 36426])).
% 136.86/87.51 tff(36453,plain,
% 136.86/87.51 (v123(constB142, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36452, 36451])).
% 136.86/87.51 tff(36454,plain,
% 136.86/87.51 (v121(constB141, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34855, 1362, 795, 34215, 36453])).
% 136.86/87.51 tff(36455,plain,
% 136.86/87.51 (v124(constB141, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34859, 1380, 795, 34204, 36454])).
% 136.86/87.51 tff(36456,plain,
% 136.86/87.51 (v84(constB141, bitIndex0) | (~v84(constB141, bitIndex2)) | v172(constB141)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34389, 1047, 36427])).
% 136.86/87.51 tff(36457,plain,
% 136.86/87.51 (v172(constB141)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36456, 36443, 36442])).
% 136.86/87.51 tff(36458,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35096, 1997, 1994, 795, 36457, 36455])).
% 136.86/87.51 tff(36459,plain,(v84(constB143, bitIndex1) | v145(constB143) | v84(constB144, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36460,plain,
% 136.86/87.51 (v84(constB143, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36459, 36423, 36415])).
% 136.86/87.51 tff(36461,plain,
% 136.86/87.51 (~v118(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35032, 2842, 36460])).
% 136.86/87.51 tff(36462,plain,
% 136.86/87.51 (v109(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35036, 2856, 36461, 36411])).
% 136.86/87.51 tff(36463,plain,
% 136.86/87.51 ((~v109(constB143)) | v110(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35044, 2871, 34808])).
% 136.86/87.51 tff(36464,plain,
% 136.86/87.51 (v110(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36463, 36462])).
% 136.86/87.51 tff(36465,plain,
% 136.86/87.51 (v145(constB143) | (~v112(constB143))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34892, 2894, 34960])).
% 136.86/87.51 tff(36466,plain,
% 136.86/87.51 (~v112(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36465, 36415])).
% 136.86/87.51 tff(36467,plain,
% 136.86/87.51 (v112(constB143) | (~v111(constB143))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34994, 2911, 34961])).
% 136.86/87.51 tff(36468,plain,
% 136.86/87.51 (~v111(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36467, 36466])).
% 136.86/87.51 tff(36469,plain,
% 136.86/87.51 (v116(constB143) | (~v110(constB143))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35049, 2932, 36468])).
% 136.86/87.51 tff(36470,plain,
% 136.86/87.51 (v116(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36469, 36464])).
% 136.86/87.51 tff(36471,plain,
% 136.86/87.51 (v84(constB144, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36372, 36141])).
% 136.86/87.51 tff(36472,plain,
% 136.86/87.51 (v123(constB144, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35339, 34680, 36471])).
% 136.86/87.51 tff(36473,plain,
% 136.86/87.51 (v121(constB143, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35350, 36472])).
% 136.86/87.51 tff(36474,plain,
% 136.86/87.51 (v124(constB143, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35357, 36473])).
% 136.86/87.51 tff(36475,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB143)) | (~v124(constB143, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36476,plain,
% 136.86/87.51 (((~v116(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36477,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB143)) | (~v124(constB143, bitIndex0))))),
% 136.86/87.51 inference(monotonicity,[status(thm)],[36476])).
% 136.86/87.51 tff(36478,plain,
% 136.86/87.51 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB143)) | (~v124(constB143, bitIndex0)))),
% 136.86/87.51 inference(transitivity,[status(thm)],[36477, 36475])).
% 136.86/87.51 tff(36479,plain,
% 136.86/87.51 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB143)) | (~less_3(bitIndex0)) | (~v124(constB143, bitIndex0)) | b100(bitIndex0))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36480,plain,
% 136.86/87.51 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB143)) | (~v124(constB143, bitIndex0))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36479, 36478])).
% 136.86/87.51 tff(36481,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36480, 2386, 2164, 795, 36474, 36470])).
% 136.86/87.51 tff(36482,plain,(v84(constB144, bitIndex1) | v172(constB143) | v119(constB143) | v115(constB143) | v113(constB143) | (~v84(constB145, bitIndex0)) | v118(constB145)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36483,plain,
% 136.86/87.51 (v84(constB144, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36482, 36409, 36408, 36407, 36406, 36343, 36358])).
% 136.86/87.51 tff(36484,plain,
% 136.86/87.51 (v84(constB145, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35423, 36483])).
% 136.86/87.51 tff(36485,plain,
% 136.86/87.51 (~v145(constB145)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35459, 816, 36484])).
% 136.86/87.51 tff(36486,plain,
% 136.86/87.51 (v118(constB145) | v172(constB145) | v116(constB145) | v145(constB145) | v113(constB145)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36255, 1213, 1210, 795, 36201, 36191])).
% 136.86/87.51 tff(36487,plain,
% 136.86/87.51 (v116(constB145)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36486, 36485, 36358, 36351, 36347])).
% 136.86/87.51 tff(36488,plain,
% 136.86/87.51 (~v84(constB145, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35536, 1130, 36487])).
% 136.86/87.51 tff(36489,plain,
% 136.86/87.51 (~v84(constB144, bitIndex2)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35532, 36488])).
% 136.86/87.51 tff(36490,plain,
% 136.86/87.51 (v94(constB144)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35527, 36489])).
% 136.86/87.51 tff(36491,plain,
% 136.86/87.51 (v104(constB144)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35003, 36490])).
% 136.86/87.51 tff(36492,plain,
% 136.86/87.51 (v102(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35011, 36491])).
% 136.86/87.51 tff(36493,plain,
% 136.86/87.51 (v106(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35019, 36492])).
% 136.86/87.51 tff(36494,plain,
% 136.86/87.51 (v107(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35023, 3161, 36493])).
% 136.86/87.51 tff(36495,plain,
% 136.86/87.51 (v108(constB143) | (~v107(constB143))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35027, 3195, 36408])).
% 136.86/87.51 tff(36496,plain,
% 136.86/87.51 (v108(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36495, 36494])).
% 136.86/87.51 tff(36497,plain,
% 136.86/87.51 (v84(constB144, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36372, 36343])).
% 136.86/87.51 tff(36498,plain,
% 136.86/87.51 (v123(constB144, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35339, 36490, 36497])).
% 136.86/87.51 tff(36499,plain,
% 136.86/87.51 (v121(constB143, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35350, 36498])).
% 136.86/87.51 tff(36500,plain,
% 136.86/87.51 (v124(constB143, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35357, 36499])).
% 136.86/87.51 tff(36501,plain,
% 136.86/87.51 (~v145(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35367, 36500])).
% 136.86/87.51 tff(36502,plain,
% 136.86/87.51 (v84(constB143, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34881, 36501, 36409])).
% 136.86/87.51 tff(36503,plain,
% 136.86/87.51 (~v118(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35032, 2842, 36502])).
% 136.86/87.51 tff(36504,plain,
% 136.86/87.51 (v109(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35036, 2856, 36503, 36496])).
% 136.86/87.51 tff(36505,plain,
% 136.86/87.51 ((~v109(constB143)) | v110(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35044, 2871, 36409])).
% 136.86/87.51 tff(36506,plain,
% 136.86/87.51 (v110(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36505, 36504])).
% 136.86/87.51 tff(36507,plain,
% 136.86/87.51 (v145(constB143) | (~v112(constB143))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34892, 2894, 36406])).
% 136.86/87.51 tff(36508,plain,
% 136.86/87.51 (~v112(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36507, 36501])).
% 136.86/87.51 tff(36509,plain,
% 136.86/87.51 (v112(constB143) | (~v111(constB143))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[34994, 2911, 36407])).
% 136.86/87.51 tff(36510,plain,
% 136.86/87.51 (~v111(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36509, 36508])).
% 136.86/87.51 tff(36511,plain,
% 136.86/87.51 (v116(constB143) | (~v110(constB143))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35049, 2932, 36510])).
% 136.86/87.51 tff(36512,plain,
% 136.86/87.51 (v116(constB143)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36511, 36506])).
% 136.86/87.51 tff(36513,plain,
% 136.86/87.51 ($false),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36480, 2386, 2164, 795, 36500, 36512])).
% 136.86/87.51 tff(36514,plain,(v84(constB147, bitIndex0) | v145(constB139) | v113(constB141) | v116(constB141) | v172(constB141) | v145(constB141)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.51 tff(36515,plain,
% 136.86/87.51 (v84(constB147, bitIndex0)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36514, 34074, 34056, 1, 34055, 34082])).
% 136.86/87.51 tff(36516,plain,
% 136.86/87.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB147, bitIndex0)) | (~v115(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB147, bitIndex0)) | (~v115(constB147)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36517,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | ((~v84(constB147, bitIndex0)) | (~v115(constB147)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36518,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v115(VarCurr)))) | (~v84(constB147, bitIndex0)) | (~v115(constB147))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36517, 36516])).
% 136.86/87.51 tff(36519,plain,
% 136.86/87.51 (~v115(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36518, 3011, 36515])).
% 136.86/87.51 tff(36520,plain,
% 136.86/87.51 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB147) | v115(constB147) | (~v111(constB147)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB147) | v115(constB147) | (~v111(constB147)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36521,plain,
% 136.86/87.51 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB147) | v115(constB147) | (~v111(constB147)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36522,plain,
% 136.86/87.51 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB147) | v115(constB147) | (~v111(constB147))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36521, 36520])).
% 136.86/87.51 tff(36523,plain,
% 136.86/87.51 (~v111(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36522, 2911, 36519, 36171])).
% 136.86/87.51 tff(36524,plain,
% 136.86/87.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB147, bitIndex0)) | (~v119(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB147, bitIndex0)) | (~v119(constB147)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36525,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | ((~v84(constB147, bitIndex0)) | (~v119(constB147)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36526,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | (~v119(VarCurr)))) | (~v84(constB147, bitIndex0)) | (~v119(constB147))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36525, 36524])).
% 136.86/87.51 tff(36527,plain,
% 136.86/87.51 (~v119(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36526, 3173, 36515])).
% 136.86/87.51 tff(36528,plain,
% 136.86/87.51 (((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB147) | v119(constB147) | (~v107(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB147) | v119(constB147) | (~v107(constB147)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36529,plain,
% 136.86/87.51 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | (v108(constB147) | v119(constB147) | (~v107(constB147)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36530,plain,
% 136.86/87.51 ((~![VarCurr: $i] : (v108(VarCurr) | v119(VarCurr) | (~v107(VarCurr)))) | v108(constB147) | v119(constB147) | (~v107(constB147))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36529, 36528])).
% 136.86/87.51 tff(36531,plain,
% 136.86/87.51 (v108(constB147) | v119(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36530, 3195, 33351])).
% 136.86/87.51 tff(36532,plain,
% 136.86/87.51 (v108(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36531, 36527])).
% 136.86/87.51 tff(36533,plain,
% 136.86/87.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB147, bitIndex1)) | (~v118(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB147, bitIndex1)) | (~v118(constB147)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36534,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB147, bitIndex1)) | (~v118(constB147)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36535,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB147, bitIndex1)) | (~v118(constB147))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36534, 36533])).
% 136.86/87.51 tff(36536,plain,
% 136.86/87.51 (~v118(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36535, 2842, 35647])).
% 136.86/87.51 tff(36537,plain,
% 136.86/87.51 (((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB147) | v118(constB147) | (~v108(constB147)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB147) | v118(constB147) | (~v108(constB147)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36538,plain,
% 136.86/87.51 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | (v109(constB147) | v118(constB147) | (~v108(constB147)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36539,plain,
% 136.86/87.51 ((~![VarCurr: $i] : (v109(VarCurr) | v118(VarCurr) | (~v108(VarCurr)))) | v109(constB147) | v118(constB147) | (~v108(constB147))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36538, 36537])).
% 136.86/87.51 tff(36540,plain,
% 136.86/87.51 (v109(constB147) | (~v108(constB147))),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36539, 2856, 36536])).
% 136.86/87.51 tff(36541,plain,
% 136.86/87.51 (v109(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36540, 36532])).
% 136.86/87.51 tff(36542,plain,
% 136.86/87.51 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB147, bitIndex1)) | (~v172(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB147, bitIndex1)) | (~v172(constB147)))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36543,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB147, bitIndex1)) | (~v172(constB147)))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36544,plain,
% 136.86/87.51 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB147, bitIndex1)) | (~v172(constB147))),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36543, 36542])).
% 136.86/87.51 tff(36545,plain,
% 136.86/87.51 (~v172(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36544, 2289, 35647])).
% 136.86/87.51 tff(36546,plain,
% 136.86/87.51 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB147)) | v172(constB147) | v110(constB147))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB147)) | v172(constB147) | v110(constB147))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36547,plain,
% 136.86/87.51 ((v110(constB147) | (~v109(constB147)) | v172(constB147)) <=> ((~v109(constB147)) | v172(constB147) | v110(constB147))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36548,plain,
% 136.86/87.51 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB147) | (~v109(constB147)) | v172(constB147))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB147)) | v172(constB147) | v110(constB147)))),
% 136.86/87.51 inference(monotonicity,[status(thm)],[36547])).
% 136.86/87.51 tff(36549,plain,
% 136.86/87.51 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB147) | (~v109(constB147)) | v172(constB147))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB147)) | v172(constB147) | v110(constB147))),
% 136.86/87.51 inference(transitivity,[status(thm)],[36548, 36546])).
% 136.86/87.51 tff(36550,plain,
% 136.86/87.51 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB147) | (~v109(constB147)) | v172(constB147))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36551,plain,
% 136.86/87.51 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB147)) | v172(constB147) | v110(constB147)),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36550, 36549])).
% 136.86/87.51 tff(36552,plain,
% 136.86/87.51 ((~v109(constB147)) | v110(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36551, 2871, 36545])).
% 136.86/87.51 tff(36553,plain,
% 136.86/87.51 (v110(constB147)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36552, 36541])).
% 136.86/87.51 tff(36554,plain,
% 136.86/87.51 (v94(constB146)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[35753, 777, 767, 35593, 35747, 36210])).
% 136.86/87.51 tff(36555,plain,
% 136.86/87.51 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB146)) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB146)) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36556,plain,
% 136.86/87.51 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex1)) | (~v94(constB146)) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.51 tff(36557,plain,
% 136.86/87.51 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex1)) | (~v94(constB146)) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1)),
% 136.86/87.51 inference(modus_ponens,[status(thm)],[36556, 36555])).
% 136.86/87.51 tff(36558,plain,
% 136.86/87.51 ((~v94(constB146)) | v123(constB146, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36557, 1344, 823, 35619])).
% 136.86/87.51 tff(36559,plain,
% 136.86/87.51 (v123(constB146, bitIndex1)),
% 136.86/87.51 inference(unit_resolution,[status(thm)],[36558, 36554])).
% 136.86/87.51 tff(36560,plain,
% 136.86/87.51 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex1)) | (~v123(constB146, bitIndex1)) | v121(constB145, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex1)) | (~v123(constB146, bitIndex1)) | v121(constB145, bitIndex1))),
% 136.86/87.51 inference(rewrite,[status(thm)],[])).
% 136.86/87.51 tff(36561,plain,
% 136.86/87.51 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB145, constB146)) | (~less_3(bitIndex1)) | (~v123(constB146, bitIndex1)) | v121(constB145, bitIndex1))),
% 136.86/87.51 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36562,plain,
% 136.86/87.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB145, constB146)) | (~less_3(bitIndex1)) | (~v123(constB146, bitIndex1)) | v121(constB145, bitIndex1)),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36561, 36560])).
% 136.86/87.52 tff(36563,plain,
% 136.86/87.52 ($false),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36562, 1362, 823, 35593, 36009, 35990])).
% 136.86/87.52 tff(36564,plain,((~v123(constB146, bitIndex1)) | v121(constB145, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.52 tff(36565,plain,
% 136.86/87.52 (v121(constB145, bitIndex1)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36564, 36559])).
% 136.86/87.52 tff(36566,plain,
% 136.86/87.52 (~v113(constB145)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[35427, 1465, 35608])).
% 136.86/87.52 tff(36567,plain,
% 136.86/87.52 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36568,plain,
% 136.86/87.52 ((v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | b001(bitIndex1)) <=> (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36569,plain,
% 136.86/87.52 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex1))))),
% 136.86/87.52 inference(monotonicity,[status(thm)],[36568])).
% 136.86/87.52 tff(36570,plain,
% 136.86/87.52 (((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | b001(bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex1)))),
% 136.86/87.52 inference(transitivity,[status(thm)],[36569, 36567])).
% 136.86/87.52 tff(36571,plain,
% 136.86/87.52 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | (v113(constB145) | v145(constB145) | v115(constB145) | v116(constB145) | v172(constB145) | v118(constB145) | (~less_3(bitIndex1)) | (~v124(constB145, bitIndex1)) | b001(bitIndex1))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36572,plain,
% 136.86/87.52 ((~![B: $i, VarCurr: $i] : (v113(VarCurr) | v145(VarCurr) | v115(VarCurr) | v116(VarCurr) | v172(VarCurr) | v118(VarCurr) | (~less_3(B)) | (~v124(VarCurr, B)) | b001(B))) | b001(bitIndex1) | (~less_3(bitIndex1)) | v118(constB145) | v172(constB145) | v116(constB145) | v115(constB145) | v145(constB145) | v113(constB145) | (~v124(constB145, bitIndex1))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36571, 36570])).
% 136.86/87.52 tff(36573,plain,
% 136.86/87.52 ($false),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36572, 2601, 2424, 823, 35756, 35939, 36249, 35961, 35903, 36273, 36010])).
% 136.86/87.52 tff(36574,plain,((~v124(constB145, bitIndex1)) | v145(constB145) | v118(constB145) | v116(constB145) | v115(constB145) | v172(constB145) | v113(constB145)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.52 tff(36575,plain,
% 136.86/87.52 (~v124(constB145, bitIndex1)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36574, 36265, 36219, 36566, 36228, 36272, 36218])).
% 136.86/87.52 tff(36576,plain,
% 136.86/87.52 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex1)) | (~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex1)) | (~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36577,plain,
% 136.86/87.52 ((v26(constB145) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1))) <=> (v26(constB145) | (~less_3(bitIndex1)) | (~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36578,plain,
% 136.86/87.52 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex1)) | (~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1)))),
% 136.86/87.52 inference(monotonicity,[status(thm)],[36577])).
% 136.86/87.52 tff(36579,plain,
% 136.86/87.52 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex1)) | (~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1))),
% 136.86/87.52 inference(transitivity,[status(thm)],[36578, 36576])).
% 136.86/87.52 tff(36580,plain,
% 136.86/87.52 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB145) | (~less_3(bitIndex1)) | v124(constB145, bitIndex1) | (~v121(constB145, bitIndex1)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36581,plain,
% 136.86/87.52 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB145) | (~less_3(bitIndex1)) | (~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1)),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36580, 36579])).
% 136.86/87.52 tff(36582,plain,
% 136.86/87.52 ($false),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36581, 1380, 823, 35582, 36575, 36565])).
% 136.86/87.52 tff(36583,plain,((~v84(constB146, bitIndex1)) | (~v84(constB145, bitIndex2)) | v84(constB146, bitIndex2) | (~v84(constB145, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.52 tff(36584,plain,
% 136.86/87.52 (v84(constB146, bitIndex2)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36583, 35618, 35533, 35424])).
% 136.86/87.52 tff(36585,plain,
% 136.86/87.52 (v84(constB147, bitIndex2)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[35869, 36584])).
% 136.86/87.52 tff(36586,plain,
% 136.86/87.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB147, bitIndex2)) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB147, bitIndex2)) | (~v116(constB147)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36587,plain,
% 136.86/87.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB147, bitIndex2)) | (~v116(constB147)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36588,plain,
% 136.86/87.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB147, bitIndex2)) | (~v116(constB147))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36587, 36586])).
% 136.86/87.52 tff(36589,plain,
% 136.86/87.52 (~v116(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36588, 1130, 36585])).
% 136.86/87.52 tff(36590,plain,
% 136.86/87.52 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB147) | v116(constB147) | (~v110(constB147)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB147) | v116(constB147) | (~v110(constB147)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36591,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB147) | v116(constB147) | (~v110(constB147)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36592,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB147) | v116(constB147) | (~v110(constB147))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36591, 36590])).
% 136.86/87.52 tff(36593,plain,
% 136.86/87.52 ($false),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36592, 2932, 36589, 36553, 36523])).
% 136.86/87.52 tff(36594,plain,(v94(constB140) | (~v107(constB147)) | v145(constB139) | v145(constB141) | (~v84(constB140, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.52 tff(36595,plain,
% 136.86/87.52 ($false),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36594, 34019, 34018, 1, 33351, 33940])).
% 136.86/87.52 tff(36596,plain,(v94(constB138) | v145(constB139) | (~v107(constB147))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.52 tff(36597,plain,
% 136.86/87.52 (v145(constB139)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36596, 32938, 33351])).
% 136.86/87.52 tff(36598,plain,
% 136.86/87.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB139)) | (~v84(constB139, bitIndex2)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36599,plain,
% 136.86/87.52 (((~v84(constB139, bitIndex2)) | (~v145(constB139))) <=> ((~v145(constB139)) | (~v84(constB139, bitIndex2)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36600,plain,
% 136.86/87.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex2)) | (~v145(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex2))))),
% 136.86/87.52 inference(monotonicity,[status(thm)],[36599])).
% 136.86/87.52 tff(36601,plain,
% 136.86/87.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex2)) | (~v145(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB139)) | (~v84(constB139, bitIndex2)))),
% 136.86/87.52 inference(transitivity,[status(thm)],[36600, 36598])).
% 136.86/87.52 tff(36602,plain,
% 136.86/87.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex2)) | (~v145(constB139)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36603,plain,
% 136.86/87.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v145(VarCurr)))) | (~v145(constB139)) | (~v84(constB139, bitIndex2))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36602, 36601])).
% 136.86/87.52 tff(36604,plain,
% 136.86/87.52 (~v84(constB139, bitIndex2)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36603, 725, 36597])).
% 136.86/87.52 tff(36605,plain,
% 136.86/87.52 (~v84(constB138, bitIndex2)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[33994, 36604])).
% 136.86/87.52 tff(36606,plain,
% 136.86/87.52 (~v84(constB137, bitIndex2)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[32946, 36605, 32938])).
% 136.86/87.52 tff(36607,plain,
% 136.86/87.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB139)) | (~v84(constB139, bitIndex1)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36608,plain,
% 136.86/87.52 (((~v84(constB139, bitIndex1)) | (~v145(constB139))) <=> ((~v145(constB139)) | (~v84(constB139, bitIndex1)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36609,plain,
% 136.86/87.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v145(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v145(constB139)) | (~v84(constB139, bitIndex1))))),
% 136.86/87.52 inference(monotonicity,[status(thm)],[36608])).
% 136.86/87.52 tff(36610,plain,
% 136.86/87.52 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v145(constB139)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB139)) | (~v84(constB139, bitIndex1)))),
% 136.86/87.52 inference(transitivity,[status(thm)],[36609, 36607])).
% 136.86/87.52 tff(36611,plain,
% 136.86/87.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB139, bitIndex1)) | (~v145(constB139)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36612,plain,
% 136.86/87.52 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v145(constB139)) | (~v84(constB139, bitIndex1))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36611, 36610])).
% 136.86/87.52 tff(36613,plain,
% 136.86/87.52 (~v84(constB139, bitIndex1)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36612, 816, 36597])).
% 136.86/87.52 tff(36614,plain,
% 136.86/87.52 (~v84(constB138, bitIndex1)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[33969, 36613])).
% 136.86/87.52 tff(36615,plain,
% 136.86/87.52 (~v84(constB137, bitIndex1)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[33961, 36614, 32938])).
% 136.86/87.52 tff(36616,plain,
% 136.86/87.52 (v145(constB137)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[33446, 36615, 36606])).
% 136.86/87.52 tff(36617,plain,
% 136.86/87.52 (v112(constB137)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[33363, 713, 36616])).
% 136.86/87.52 tff(36618,plain,
% 136.86/87.52 ($false),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[33359, 702, 36617, 33350])).
% 136.86/87.52 tff(36619,plain,(v94(constB138) | (~v107(constB147))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.52 tff(36620,plain,
% 136.86/87.52 (~v107(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36619, 33294])).
% 136.86/87.52 tff(36621,plain,
% 136.86/87.52 (((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB147) | (~v106(constB147)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB147) | (~v106(constB147)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36622,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | (v107(constB147) | (~v106(constB147)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36623,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v107(VarCurr) | (~v106(VarCurr)))) | v107(constB147) | (~v106(constB147))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36622, 36621])).
% 136.86/87.52 tff(36624,plain,
% 136.86/87.52 (~v106(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36623, 3161, 36620])).
% 136.86/87.52 tff(36625,assumption,(v26(constB147)), introduced(assumption)).
% 136.86/87.52 tff(36626,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36627,plain,
% 136.86/87.52 ($false),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36626, 1172, 36625])).
% 136.86/87.52 tff(36628,plain,(~v26(constB147)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.52 tff(36629,plain,
% 136.86/87.52 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB147)) | v26(constB147) | v106(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB147)) | v26(constB147) | v106(constB147))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36630,plain,
% 136.86/87.52 ((v26(constB147) | v106(constB147) | (~v102(constB147))) <=> ((~v102(constB147)) | v26(constB147) | v106(constB147))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36631,plain,
% 136.86/87.52 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB147) | v106(constB147) | (~v102(constB147)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | ((~v102(constB147)) | v26(constB147) | v106(constB147)))),
% 136.86/87.52 inference(monotonicity,[status(thm)],[36630])).
% 136.86/87.52 tff(36632,plain,
% 136.86/87.52 (((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB147) | v106(constB147) | (~v102(constB147)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB147)) | v26(constB147) | v106(constB147))),
% 136.86/87.52 inference(transitivity,[status(thm)],[36631, 36629])).
% 136.86/87.52 tff(36633,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (v26(constB147) | v106(constB147) | (~v102(constB147)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36634,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v26(VarCurr) | v106(VarCurr) | (~v102(VarCurr)))) | (~v102(constB147)) | v26(constB147) | v106(constB147)),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36633, 36632])).
% 136.86/87.52 tff(36635,plain,
% 136.86/87.52 ((~v102(constB147)) | v106(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36634, 3146, 36628])).
% 136.86/87.52 tff(36636,plain,
% 136.86/87.52 (~v102(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36635, 36624])).
% 136.86/87.52 tff(36637,plain,
% 136.86/87.52 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36638,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_147_1')).
% 136.86/87.52 tff(36639,plain,
% 136.86/87.52 (nextState(constB147, constB148)),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36638, 36637])).
% 136.86/87.52 tff(36640,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36641,plain,
% 136.86/87.52 (((~nextState(constB147, constB148)) | v102(constB147) | (~v104(constB148))) <=> ((~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36642,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | v102(constB147) | (~v104(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147)))),
% 136.86/87.52 inference(monotonicity,[status(thm)],[36641])).
% 136.86/87.52 tff(36643,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | v102(constB147) | (~v104(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147))),
% 136.86/87.52 inference(transitivity,[status(thm)],[36642, 36640])).
% 136.86/87.52 tff(36644,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | ((~nextState(constB147, constB148)) | v102(constB147) | (~v104(constB148)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36645,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v102(VarCurr) | (~v104(VarNext)))) | (~nextState(constB147, constB148)) | (~v104(constB148)) | v102(constB147)),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36644, 36643])).
% 136.86/87.52 tff(36646,plain,
% 136.86/87.52 ((~v104(constB148)) | v102(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36645, 3128, 36639])).
% 136.86/87.52 tff(36647,plain,
% 136.86/87.52 (~v104(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36646, 36636])).
% 136.86/87.52 tff(36648,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v94(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v94(constB148)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36649,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v94(constB148)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36650,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v104(VarNext) | (~v94(VarNext)))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v94(constB148))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36649, 36648])).
% 136.86/87.52 tff(36651,plain,
% 136.86/87.52 (v104(constB148) | (~v94(constB148))),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36650, 3113, 36639])).
% 136.86/87.52 tff(36652,plain,
% 136.86/87.52 (~v94(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36651, 36647])).
% 136.86/87.52 tff(36653,assumption,(~v94(constB148)), introduced(assumption)).
% 136.86/87.52 tff(36654,assumption,(~v84(constB148, bitIndex0)), introduced(assumption)).
% 136.86/87.52 tff(36655,plain,
% 136.86/87.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB147, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB147, bitIndex0)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36656,plain,
% 136.86/87.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB147, bitIndex0)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36657,plain,
% 136.86/87.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB147, bitIndex0))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36656, 36655])).
% 136.86/87.52 tff(36658,plain,
% 136.86/87.52 (~v84(constB147, bitIndex0)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36657, 777, 795, 36639, 36653, 36654])).
% 136.86/87.52 tff(36659,assumption,(~v84(constB148, bitIndex2)), introduced(assumption)).
% 136.86/87.52 tff(36660,plain,
% 136.86/87.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB147, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB147, bitIndex2)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36661,plain,
% 136.86/87.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB147, bitIndex2)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36662,plain,
% 136.86/87.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB147, bitIndex2))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36661, 36660])).
% 136.86/87.52 tff(36663,plain,
% 136.86/87.52 (~v84(constB147, bitIndex2)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36662, 777, 767, 36639, 36653, 36659])).
% 136.86/87.52 tff(36664,assumption,(~v84(constB148, bitIndex1)), introduced(assumption)).
% 136.86/87.52 tff(36665,plain,
% 136.86/87.52 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v84(constB147, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v84(constB147, bitIndex1)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36666,plain,
% 136.86/87.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v84(constB147, bitIndex1)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36667,plain,
% 136.86/87.52 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v84(constB147, bitIndex1))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36666, 36665])).
% 136.86/87.52 tff(36668,plain,
% 136.86/87.52 (~v84(constB147, bitIndex1)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36667, 777, 823, 36639, 36653, 36664])).
% 136.86/87.52 tff(36669,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36670,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | (v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36671,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : (v1(VarCurr) | (~nextState(VarCurr, VarNext)) | (~v98(VarNext)))) | v1(constB147) | (~nextState(constB147, constB148)) | (~v98(constB148))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36670, 36669])).
% 136.86/87.52 tff(36672,plain,
% 136.86/87.52 (~v98(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36671, 541, 36639, 35623])).
% 136.86/87.52 tff(36673,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36674,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | ((~nextState(constB147, constB148)) | v96(constB148) | v98(constB148))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36675,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v96(VarNext) | v98(VarNext))) | (~nextState(constB147, constB148)) | v96(constB148) | v98(constB148)),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36674, 36673])).
% 136.86/87.52 tff(36676,plain,
% 136.86/87.52 (v96(constB148) | v98(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36675, 555, 36639])).
% 136.86/87.52 tff(36677,plain,
% 136.86/87.52 (v96(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36676, 36672])).
% 136.86/87.52 tff(36678,plain,
% 136.86/87.52 (v1(constB148) <=> v1(constB148)),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36679,axiom,(v1(constB148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_148_1')).
% 136.86/87.52 tff(36680,plain,
% 136.86/87.52 (v1(constB148)),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36679, 36678])).
% 136.86/87.52 tff(36681,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36682,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | ((~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36683,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v96(VarNext)) | (~v1(VarNext)))) | (~nextState(constB147, constB148)) | v95(constB148) | (~v96(constB148)) | (~v1(constB148))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36682, 36681])).
% 136.86/87.52 tff(36684,plain,
% 136.86/87.52 (v95(constB148) | (~v96(constB148))),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36683, 573, 36639, 36680])).
% 136.86/87.52 tff(36685,plain,
% 136.86/87.52 (v95(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36684, 36677])).
% 136.86/87.52 tff(36686,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36687,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | ((~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36688,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | (~v104(VarNext)) | v94(VarNext))) | (~nextState(constB147, constB148)) | (~v95(constB148)) | (~v104(constB148)) | v94(constB148)),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36687, 36686])).
% 136.86/87.52 tff(36689,plain,
% 136.86/87.52 ((~v95(constB148)) | (~v104(constB148)) | v94(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36688, 588, 36639])).
% 136.86/87.52 tff(36690,plain,
% 136.86/87.52 ((~v104(constB148)) | v94(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36689, 36685])).
% 136.86/87.52 tff(36691,plain,
% 136.86/87.52 (~v104(constB148)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36690, 36653])).
% 136.86/87.52 tff(36692,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36693,plain,
% 136.86/87.52 (((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148)) <=> ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36694,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))))),
% 136.86/87.52 inference(monotonicity,[status(thm)],[36693])).
% 136.86/87.52 tff(36695,plain,
% 136.86/87.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147)))),
% 136.86/87.52 inference(transitivity,[status(thm)],[36694, 36692])).
% 136.86/87.52 tff(36696,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | ((~nextState(constB147, constB148)) | (~v102(constB147)) | v104(constB148))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36697,plain,
% 136.86/87.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v102(VarCurr)) | v104(VarNext))) | (~nextState(constB147, constB148)) | v104(constB148) | (~v102(constB147))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36696, 36695])).
% 136.86/87.52 tff(36698,plain,
% 136.86/87.52 (v104(constB148) | (~v102(constB147))),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36697, 604, 36639])).
% 136.86/87.52 tff(36699,plain,
% 136.86/87.52 (~v102(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36698, 36691])).
% 136.86/87.52 tff(36700,plain,
% 136.86/87.52 (((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB147) | (~v106(constB147)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB147) | (~v106(constB147)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36701,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | (v102(constB147) | (~v106(constB147)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36702,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v102(VarCurr) | (~v106(VarCurr)))) | v102(constB147) | (~v106(constB147))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36701, 36700])).
% 136.86/87.52 tff(36703,plain,
% 136.86/87.52 (~v106(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36702, 619, 36699])).
% 136.86/87.52 tff(36704,plain,
% 136.86/87.52 (((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB147) | (~v26(constB147)))) <=> ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB147) | (~v26(constB147)))),
% 136.86/87.52 inference(rewrite,[status(thm)],[])).
% 136.86/87.52 tff(36705,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | (v102(constB147) | (~v26(constB147)))),
% 136.86/87.52 inference(quant_inst,[status(thm)],[])).
% 136.86/87.52 tff(36706,plain,
% 136.86/87.52 ((~![VarCurr: $i] : (v102(VarCurr) | (~v26(VarCurr)))) | v102(constB147) | (~v26(constB147))),
% 136.86/87.52 inference(modus_ponens,[status(thm)],[36705, 36704])).
% 136.86/87.52 tff(36707,plain,
% 136.86/87.52 (~v26(constB147)),
% 136.86/87.52 inference(unit_resolution,[status(thm)],[36706, 630, 36699])).
% 136.86/87.52 tff(36708,plain,
% 136.86/87.52 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | v106(constB147) | (~v107(constB147)))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | v106(constB147) | (~v107(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36709,plain,
% 136.86/87.53 ((v26(constB147) | (~v107(constB147)) | v106(constB147)) <=> (v26(constB147) | v106(constB147) | (~v107(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36710,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | v106(constB147) | (~v107(constB147))))),
% 136.86/87.53 inference(monotonicity,[status(thm)],[36709])).
% 136.86/87.53 tff(36711,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))) <=> ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | v106(constB147) | (~v107(constB147)))),
% 136.86/87.53 inference(transitivity,[status(thm)],[36710, 36708])).
% 136.86/87.53 tff(36712,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | (v26(constB147) | (~v107(constB147)) | v106(constB147))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36713,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v26(VarCurr) | (~v107(VarCurr)) | v106(VarCurr))) | v26(constB147) | v106(constB147) | (~v107(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36712, 36711])).
% 136.86/87.53 tff(36714,plain,
% 136.86/87.53 (~v107(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36713, 644, 36707, 36703])).
% 136.86/87.53 tff(36715,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB147) | (~v108(constB147)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB147) | (~v108(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36716,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | (v107(constB147) | (~v108(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36717,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v108(VarCurr)))) | v107(constB147) | (~v108(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36716, 36715])).
% 136.86/87.53 tff(36718,plain,
% 136.86/87.53 (~v108(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36717, 658, 36714])).
% 136.86/87.53 tff(36719,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB147) | (~v109(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB147) | (~v109(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36720,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | (v108(constB147) | (~v109(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36721,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v109(VarCurr)))) | v108(constB147) | (~v109(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36720, 36719])).
% 136.86/87.53 tff(36722,plain,
% 136.86/87.53 (~v109(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36721, 669, 36718])).
% 136.86/87.53 tff(36723,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB147) | (~v110(constB147)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB147) | (~v110(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36724,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | (v109(constB147) | (~v110(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36725,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v109(VarCurr) | (~v110(VarCurr)))) | v109(constB147) | (~v110(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36724, 36723])).
% 136.86/87.53 tff(36726,plain,
% 136.86/87.53 (~v110(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36725, 680, 36722])).
% 136.86/87.53 tff(36727,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB147) | (~v111(constB147)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB147) | (~v111(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36728,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | (v110(constB147) | (~v111(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36729,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v110(VarCurr) | (~v111(VarCurr)))) | v110(constB147) | (~v111(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36728, 36727])).
% 136.86/87.53 tff(36730,plain,
% 136.86/87.53 (~v111(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36729, 691, 36726])).
% 136.86/87.53 tff(36731,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB147) | (~v112(constB147)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB147) | (~v112(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36732,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | (v111(constB147) | (~v112(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36733,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v112(VarCurr)))) | v111(constB147) | (~v112(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36732, 36731])).
% 136.86/87.53 tff(36734,plain,
% 136.86/87.53 (~v112(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36733, 702, 36730])).
% 136.86/87.53 tff(36735,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB147) | (~v113(constB147)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB147) | (~v113(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36736,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | (v112(constB147) | (~v113(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36737,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v112(VarCurr) | (~v113(VarCurr)))) | v112(constB147) | (~v113(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36736, 36735])).
% 136.86/87.53 tff(36738,plain,
% 136.86/87.53 (~v113(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36737, 969, 36734])).
% 136.86/87.53 tff(36739,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB147) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB147) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36740,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | (v113(constB147) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36741,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v113(VarCurr) | v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))) | v113(constB147) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36740, 36739])).
% 136.86/87.53 tff(36742,plain,
% 136.86/87.53 (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | v84(constB147, bitIndex2)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36741, 983, 36738])).
% 136.86/87.53 tff(36743,plain,
% 136.86/87.53 ($false),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36742, 36668, 36658, 36663])).
% 136.86/87.53 tff(36744,plain,(v84(constB148, bitIndex1) | v94(constB148) | v84(constB148, bitIndex0) | v84(constB148, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.53 tff(36745,plain,
% 136.86/87.53 (v84(constB148, bitIndex1)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36744, 36659, 36654, 36653])).
% 136.86/87.53 tff(36746,plain,
% 136.86/87.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB147, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB147, bitIndex1))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36747,plain,
% 136.86/87.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB147, bitIndex1))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36748,plain,
% 136.86/87.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB147, bitIndex1)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36747, 36746])).
% 136.86/87.53 tff(36749,plain,
% 136.86/87.53 (v84(constB147, bitIndex1)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36748, 805, 823, 36639, 36653, 36745])).
% 136.86/87.53 tff(36750,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB147) | (~v115(constB147)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB147) | (~v115(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36751,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | (v111(constB147) | (~v115(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36752,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v111(VarCurr) | (~v115(VarCurr)))) | v111(constB147) | (~v115(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36751, 36750])).
% 136.86/87.53 tff(36753,plain,
% 136.86/87.53 (~v115(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36752, 945, 36730])).
% 136.86/87.53 tff(36754,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB147, bitIndex0) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v115(constB147))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v115(constB147))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36755,plain,
% 136.86/87.53 ((v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v115(constB147)) <=> (v84(constB147, bitIndex0) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v115(constB147))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36756,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v115(constB147))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB147, bitIndex0) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v115(constB147)))),
% 136.86/87.53 inference(monotonicity,[status(thm)],[36755])).
% 136.86/87.53 tff(36757,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v115(constB147))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v115(constB147))),
% 136.86/87.53 inference(transitivity,[status(thm)],[36756, 36754])).
% 136.86/87.53 tff(36758,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v84(constB147, bitIndex2) | v115(constB147))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36759,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | v84(VarCurr, bitIndex2) | v115(VarCurr))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1)) | v115(constB147)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36758, 36757])).
% 136.86/87.53 tff(36760,plain,
% 136.86/87.53 (v84(constB147, bitIndex0) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex1))),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36759, 1095, 36753])).
% 136.86/87.53 tff(36761,plain,
% 136.86/87.53 ($false),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36760, 36658, 36749, 36663])).
% 136.86/87.53 tff(36762,plain,(v84(constB148, bitIndex2) | v94(constB148) | v84(constB148, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.53 tff(36763,plain,
% 136.86/87.53 (v84(constB148, bitIndex2)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36762, 36654, 36653])).
% 136.86/87.53 tff(36764,plain,
% 136.86/87.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB147, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB147, bitIndex2))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36765,plain,
% 136.86/87.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB147, bitIndex2))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36766,plain,
% 136.86/87.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB147, bitIndex2)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36765, 36764])).
% 136.86/87.53 tff(36767,plain,
% 136.86/87.53 (v84(constB147, bitIndex2)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36766, 805, 767, 36639, 36653, 36763])).
% 136.86/87.53 tff(36768,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB147) | (~v172(constB147)))) <=> ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB147) | (~v172(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36769,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | (v109(constB147) | (~v172(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36770,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v109(VarCurr) | (~v172(VarCurr)))) | v109(constB147) | (~v172(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36769, 36768])).
% 136.86/87.53 tff(36771,plain,
% 136.86/87.53 (~v172(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36770, 1033, 36722])).
% 136.86/87.53 tff(36772,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v172(constB147))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v172(constB147))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36773,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v172(constB147))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36774,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v172(VarCurr))) | v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v172(constB147)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36773, 36772])).
% 136.86/87.53 tff(36775,plain,
% 136.86/87.53 (v84(constB147, bitIndex0) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2))),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36774, 1047, 36771])).
% 136.86/87.53 tff(36776,plain,
% 136.86/87.53 (v84(constB147, bitIndex1)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36775, 36767, 36658])).
% 136.86/87.53 tff(36777,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB147) | (~v119(constB147)))) <=> ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB147) | (~v119(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36778,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | (v107(constB147) | (~v119(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36779,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v107(VarCurr) | (~v119(VarCurr)))) | v107(constB147) | (~v119(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36778, 36777])).
% 136.86/87.53 tff(36780,plain,
% 136.86/87.53 (~v119(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36779, 1927, 36714])).
% 136.86/87.53 tff(36781,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v119(constB147) | (~v84(constB147, bitIndex2)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v119(constB147) | (~v84(constB147, bitIndex2)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36782,plain,
% 136.86/87.53 ((v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2)) | v119(constB147)) <=> (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v119(constB147) | (~v84(constB147, bitIndex2)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36783,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2)) | v119(constB147))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v119(constB147) | (~v84(constB147, bitIndex2))))),
% 136.86/87.53 inference(monotonicity,[status(thm)],[36782])).
% 136.86/87.53 tff(36784,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2)) | v119(constB147))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v119(constB147) | (~v84(constB147, bitIndex2)))),
% 136.86/87.53 inference(transitivity,[status(thm)],[36783, 36781])).
% 136.86/87.53 tff(36785,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2)) | v119(constB147))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36786,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)) | v119(VarCurr))) | v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | v119(constB147) | (~v84(constB147, bitIndex2))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36785, 36784])).
% 136.86/87.53 tff(36787,plain,
% 136.86/87.53 (v84(constB147, bitIndex0) | (~v84(constB147, bitIndex1)) | (~v84(constB147, bitIndex2))),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36786, 1910, 36780])).
% 136.86/87.53 tff(36788,plain,
% 136.86/87.53 ($false),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36787, 36658, 36767, 36776])).
% 136.86/87.53 tff(36789,plain,(v84(constB148, bitIndex0) | v94(constB148)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.53 tff(36790,plain,
% 136.86/87.53 (v84(constB148, bitIndex0)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36789, 36653])).
% 136.86/87.53 tff(36791,plain,
% 136.86/87.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex0)) | (~v84(constB148, bitIndex0)) | v84(constB147, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex0)) | (~v84(constB148, bitIndex0)) | v84(constB147, bitIndex0))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36792,plain,
% 136.86/87.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex0)) | (~v84(constB148, bitIndex0)) | v84(constB147, bitIndex0))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36793,plain,
% 136.86/87.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB147, constB148)) | v94(constB148) | (~less_3(bitIndex0)) | (~v84(constB148, bitIndex0)) | v84(constB147, bitIndex0)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36792, 36791])).
% 136.86/87.53 tff(36794,plain,
% 136.86/87.53 (v84(constB147, bitIndex0)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36793, 805, 795, 36639, 36653, 36790])).
% 136.86/87.53 tff(36795,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB147) | (~v116(constB147)))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB147) | (~v116(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36796,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | (v110(constB147) | (~v116(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36797,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v110(VarCurr) | (~v116(VarCurr)))) | v110(constB147) | (~v116(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36796, 36795])).
% 136.86/87.53 tff(36798,plain,
% 136.86/87.53 (~v116(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36797, 934, 36726])).
% 136.86/87.53 tff(36799,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36800,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | (v112(constB147) | (~v145(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36801,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v112(VarCurr) | (~v145(VarCurr)))) | v112(constB147) | (~v145(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36800, 36799])).
% 136.86/87.53 tff(36802,plain,
% 136.86/87.53 (~v145(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36801, 713, 36734])).
% 136.86/87.53 tff(36803,plain,
% 136.86/87.53 (v84(constB147, bitIndex2)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36050, 36794, 36802, 36798])).
% 136.86/87.53 tff(36804,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB147) | (~v118(constB147)))) <=> ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB147) | (~v118(constB147)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36805,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | (v108(constB147) | (~v118(constB147)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36806,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v108(VarCurr) | (~v118(VarCurr)))) | v108(constB147) | (~v118(constB147))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36805, 36804])).
% 136.86/87.53 tff(36807,plain,
% 136.86/87.53 (~v118(constB147)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36806, 1004, 36718])).
% 136.86/87.53 tff(36808,plain,
% 136.86/87.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v118(constB147))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v118(constB147))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36809,plain,
% 136.86/87.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v118(constB147))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36810,plain,
% 136.86/87.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex0)) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)) | v118(VarCurr))) | (~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2)) | v118(constB147)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36809, 36808])).
% 136.86/87.53 tff(36811,plain,
% 136.86/87.53 ((~v84(constB147, bitIndex0)) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex2))),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36810, 1018, 36807])).
% 136.86/87.53 tff(36812,plain,
% 136.86/87.53 (v84(constB147, bitIndex1)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36811, 36803, 36794])).
% 136.86/87.53 tff(36813,plain,
% 136.86/87.53 ($false),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36667, 777, 823, 36639, 36653, 36812, 36664])).
% 136.86/87.53 tff(36814,plain,(v84(constB148, bitIndex1) | v94(constB148)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.53 tff(36815,plain,
% 136.86/87.53 (v84(constB148, bitIndex1)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36814, 36653])).
% 136.86/87.53 tff(36816,assumption,(v84(constB148, bitIndex1)), introduced(assumption)).
% 136.86/87.53 tff(36817,assumption,(~v84(constB149, bitIndex1)), introduced(assumption)).
% 136.86/87.53 tff(36818,plain,
% 136.86/87.53 ((~v1(constB149)) <=> (~v1(constB149))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36819,axiom,(~v1(constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clock_pattern_149_1_1')).
% 136.86/87.53 tff(36820,plain,
% 136.86/87.53 (~v1(constB149)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36819, 36818])).
% 136.86/87.53 tff(36821,plain,
% 136.86/87.53 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36822,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pathAxiom_148_1')).
% 136.86/87.53 tff(36823,plain,
% 136.86/87.53 (nextState(constB148, constB149)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36822, 36821])).
% 136.86/87.53 tff(36824,plain,
% 136.86/87.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36825,plain,
% 136.86/87.53 (((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149)) <=> (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36826,plain,
% 136.86/87.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | (v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))))),
% 136.86/87.53 inference(monotonicity,[status(thm)],[36825])).
% 136.86/87.53 tff(36827,plain,
% 136.86/87.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149)))),
% 136.86/87.53 inference(transitivity,[status(thm)],[36826, 36824])).
% 136.86/87.53 tff(36828,plain,
% 136.86/87.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | ((~nextState(constB148, constB149)) | (~v95(constB149)) | v1(constB149))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36829,plain,
% 136.86/87.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v95(VarNext)) | v1(VarNext))) | v1(constB149) | (~nextState(constB148, constB149)) | (~v95(constB149))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36828, 36827])).
% 136.86/87.53 tff(36830,plain,
% 136.86/87.53 (~v95(constB149)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36829, 742, 36823, 36820])).
% 136.86/87.53 tff(36831,plain,
% 136.86/87.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36832,plain,
% 136.86/87.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | ((~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36833,plain,
% 136.86/87.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v95(VarNext) | (~v94(VarNext)))) | (~nextState(constB148, constB149)) | v95(constB149) | (~v94(constB149))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36832, 36831])).
% 136.86/87.53 tff(36834,plain,
% 136.86/87.53 (v95(constB149) | (~v94(constB149))),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36833, 759, 36823])).
% 136.86/87.53 tff(36835,plain,
% 136.86/87.53 (~v94(constB149)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36834, 36830])).
% 136.86/87.53 tff(36836,plain,
% 136.86/87.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36837,plain,
% 136.86/87.53 (((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | v84(constB149, bitIndex1) | (~v84(constB148, bitIndex1))) <=> ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36838,plain,
% 136.86/87.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | v84(constB149, bitIndex1) | (~v84(constB148, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1)))),
% 136.86/87.53 inference(monotonicity,[status(thm)],[36837])).
% 136.86/87.53 tff(36839,plain,
% 136.86/87.53 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | v84(constB149, bitIndex1) | (~v84(constB148, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1))),
% 136.86/87.53 inference(transitivity,[status(thm)],[36838, 36836])).
% 136.86/87.53 tff(36840,plain,
% 136.86/87.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | v84(constB149, bitIndex1) | (~v84(constB148, bitIndex1)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36841,plain,
% 136.86/87.53 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex1)) | (~v84(constB148, bitIndex1)) | v84(constB149, bitIndex1)),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36840, 36839])).
% 136.86/87.53 tff(36842,plain,
% 136.86/87.53 ($false),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36841, 777, 823, 36823, 36835, 36817, 36816])).
% 136.86/87.53 tff(36843,plain,(v84(constB149, bitIndex1) | (~v84(constB148, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.53 tff(36844,plain,
% 136.86/87.53 (v84(constB149, bitIndex1)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36843, 36815])).
% 136.86/87.53 tff(36845,plain,
% 136.86/87.53 (((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB149)) | (~v84(constB149, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB149)) | (~v84(constB149, bitIndex1)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36846,plain,
% 136.86/87.53 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | ((~v113(constB149)) | (~v84(constB149, bitIndex1)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36847,plain,
% 136.86/87.53 ((~![VarCurr: $i] : ((~v113(VarCurr)) | (~v84(VarCurr, bitIndex1)))) | (~v113(constB149)) | (~v84(constB149, bitIndex1))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36846, 36845])).
% 136.86/87.53 tff(36848,plain,
% 136.86/87.53 (~v113(constB149)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36847, 1465, 36844])).
% 136.86/87.53 tff(36849,plain,
% 136.86/87.53 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB149, bitIndex1)) | (~v145(constB149)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB149, bitIndex1)) | (~v145(constB149)))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36850,plain,
% 136.86/87.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | ((~v84(constB149, bitIndex1)) | (~v145(constB149)))),
% 136.86/87.53 inference(quant_inst,[status(thm)],[])).
% 136.86/87.53 tff(36851,plain,
% 136.86/87.53 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v145(VarCurr)))) | (~v84(constB149, bitIndex1)) | (~v145(constB149))),
% 136.86/87.53 inference(modus_ponens,[status(thm)],[36850, 36849])).
% 136.86/87.53 tff(36852,plain,
% 136.86/87.53 (~v145(constB149)),
% 136.86/87.53 inference(unit_resolution,[status(thm)],[36851, 816, 36844])).
% 136.86/87.53 tff(36853,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB149)) | v145(constB149) | v113(constB149))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB149)) | v145(constB149) | v113(constB149))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36854,plain,
% 136.86/87.53 ((v113(constB149) | (~v112(constB149)) | v145(constB149)) <=> ((~v112(constB149)) | v145(constB149) | v113(constB149))),
% 136.86/87.53 inference(rewrite,[status(thm)],[])).
% 136.86/87.53 tff(36855,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB149) | (~v112(constB149)) | v145(constB149))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | ((~v112(constB149)) | v145(constB149) | v113(constB149)))),
% 136.86/87.53 inference(monotonicity,[status(thm)],[36854])).
% 136.86/87.53 tff(36856,plain,
% 136.86/87.53 (((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB149) | (~v112(constB149)) | v145(constB149))) <=> ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB149)) | v145(constB149) | v113(constB149))),
% 136.86/87.53 inference(transitivity,[status(thm)],[36855, 36853])).
% 136.86/87.53 tff(36857,plain,
% 136.86/87.53 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (v113(constB149) | (~v112(constB149)) | v145(constB149))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36858,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v113(VarCurr) | (~v112(VarCurr)) | v145(VarCurr))) | (~v112(constB149)) | v145(constB149) | v113(constB149)),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36857, 36856])).
% 136.86/87.54 tff(36859,plain,
% 136.86/87.54 (~v112(constB149)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36858, 2894, 36852, 36848])).
% 136.86/87.54 tff(36860,plain,
% 136.86/87.54 ($false),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36662, 777, 767, 36639, 36653, 36659, 36803])).
% 136.86/87.54 tff(36861,plain,(v84(constB148, bitIndex2) | v94(constB148)), inference(lemma,lemma(discharge,[]))).
% 136.86/87.54 tff(36862,plain,
% 136.86/87.54 (v84(constB148, bitIndex2)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36861, 36653])).
% 136.86/87.54 tff(36863,assumption,(v84(constB148, bitIndex2)), introduced(assumption)).
% 136.86/87.54 tff(36864,assumption,(~v84(constB149, bitIndex2)), introduced(assumption)).
% 136.86/87.54 tff(36865,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB149, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB149, bitIndex2))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36866,plain,
% 136.86/87.54 (((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB149, bitIndex2) | (~v84(constB148, bitIndex2))) <=> ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB149, bitIndex2))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36867,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB149, bitIndex2) | (~v84(constB148, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB149, bitIndex2)))),
% 136.86/87.54 inference(monotonicity,[status(thm)],[36866])).
% 136.86/87.54 tff(36868,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB149, bitIndex2) | (~v84(constB148, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB149, bitIndex2))),
% 136.86/87.54 inference(transitivity,[status(thm)],[36867, 36865])).
% 136.86/87.54 tff(36869,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB149, bitIndex2) | (~v84(constB148, bitIndex2)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36870,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | v84(VarNext, B) | (~v84(VarCurr, B)))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB148, bitIndex2)) | v84(constB149, bitIndex2)),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36869, 36868])).
% 136.86/87.54 tff(36871,plain,
% 136.86/87.54 ($false),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36870, 777, 767, 36823, 36835, 36864, 36863])).
% 136.86/87.54 tff(36872,plain,(v84(constB149, bitIndex2) | (~v84(constB148, bitIndex2))), inference(lemma,lemma(discharge,[]))).
% 136.86/87.54 tff(36873,plain,
% 136.86/87.54 (v84(constB149, bitIndex2)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36872, 36862])).
% 136.86/87.54 tff(36874,plain,
% 136.86/87.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB149, bitIndex2)) | (~v115(constB149)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB149, bitIndex2)) | (~v115(constB149)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36875,plain,
% 136.86/87.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | ((~v84(constB149, bitIndex2)) | (~v115(constB149)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36876,plain,
% 136.86/87.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v115(VarCurr)))) | (~v84(constB149, bitIndex2)) | (~v115(constB149))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36875, 36874])).
% 136.86/87.54 tff(36877,plain,
% 136.86/87.54 (~v115(constB149)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36876, 2665, 36873])).
% 136.86/87.54 tff(36878,plain,
% 136.86/87.54 (((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB149) | v115(constB149) | (~v111(constB149)))) <=> ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB149) | v115(constB149) | (~v111(constB149)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36879,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | (v112(constB149) | v115(constB149) | (~v111(constB149)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36880,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v112(VarCurr) | v115(VarCurr) | (~v111(VarCurr)))) | v112(constB149) | v115(constB149) | (~v111(constB149))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36879, 36878])).
% 136.86/87.54 tff(36881,plain,
% 136.86/87.54 (~v111(constB149)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36880, 2911, 36877, 36859])).
% 136.86/87.54 tff(36882,plain,
% 136.86/87.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB149, bitIndex2)) | (~v116(constB149)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB149, bitIndex2)) | (~v116(constB149)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36883,plain,
% 136.86/87.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | ((~v84(constB149, bitIndex2)) | (~v116(constB149)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36884,plain,
% 136.86/87.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex2)) | (~v116(VarCurr)))) | (~v84(constB149, bitIndex2)) | (~v116(constB149))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36883, 36882])).
% 136.86/87.54 tff(36885,plain,
% 136.86/87.54 (~v116(constB149)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36884, 1130, 36873])).
% 136.86/87.54 tff(36886,plain,
% 136.86/87.54 (((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB149) | v116(constB149) | (~v110(constB149)))) <=> ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB149) | v116(constB149) | (~v110(constB149)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36887,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | (v111(constB149) | v116(constB149) | (~v110(constB149)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36888,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v111(VarCurr) | v116(VarCurr) | (~v110(VarCurr)))) | v111(constB149) | v116(constB149) | (~v110(constB149))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36887, 36886])).
% 136.86/87.54 tff(36889,plain,
% 136.86/87.54 (v111(constB149) | (~v110(constB149))),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36888, 2932, 36885])).
% 136.86/87.54 tff(36890,plain,
% 136.86/87.54 (~v110(constB149)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36889, 36881])).
% 136.86/87.54 tff(36891,plain,
% 136.86/87.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB149, bitIndex1)) | (~v172(constB149)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB149, bitIndex1)) | (~v172(constB149)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36892,plain,
% 136.86/87.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | ((~v84(constB149, bitIndex1)) | (~v172(constB149)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36893,plain,
% 136.86/87.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v172(VarCurr)))) | (~v84(constB149, bitIndex1)) | (~v172(constB149))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36892, 36891])).
% 136.86/87.54 tff(36894,plain,
% 136.86/87.54 (~v172(constB149)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36893, 2289, 36844])).
% 136.86/87.54 tff(36895,plain,
% 136.86/87.54 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB149)) | v172(constB149) | v110(constB149))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB149)) | v172(constB149) | v110(constB149))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36896,plain,
% 136.86/87.54 ((v110(constB149) | (~v109(constB149)) | v172(constB149)) <=> ((~v109(constB149)) | v172(constB149) | v110(constB149))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36897,plain,
% 136.86/87.54 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB149) | (~v109(constB149)) | v172(constB149))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | ((~v109(constB149)) | v172(constB149) | v110(constB149)))),
% 136.86/87.54 inference(monotonicity,[status(thm)],[36896])).
% 136.86/87.54 tff(36898,plain,
% 136.86/87.54 (((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB149) | (~v109(constB149)) | v172(constB149))) <=> ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB149)) | v172(constB149) | v110(constB149))),
% 136.86/87.54 inference(transitivity,[status(thm)],[36897, 36895])).
% 136.86/87.54 tff(36899,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (v110(constB149) | (~v109(constB149)) | v172(constB149))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36900,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v110(VarCurr) | (~v109(VarCurr)) | v172(VarCurr))) | (~v109(constB149)) | v172(constB149) | v110(constB149)),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36899, 36898])).
% 136.86/87.54 tff(36901,plain,
% 136.86/87.54 ((~v109(constB149)) | v110(constB149)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36900, 2871, 36894])).
% 136.86/87.54 tff(36902,plain,
% 136.86/87.54 (~v109(constB149)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36901, 36890])).
% 136.86/87.54 tff(36903,assumption,(v118(constB149)), introduced(assumption)).
% 136.86/87.54 tff(36904,plain,
% 136.86/87.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB149, bitIndex2) | (~v118(constB149)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB149, bitIndex2) | (~v118(constB149)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36905,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | (v84(constB149, bitIndex2) | (~v118(constB149)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36906,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex2) | (~v118(VarCurr)))) | v84(constB149, bitIndex2) | (~v118(constB149))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36905, 36904])).
% 136.86/87.54 tff(36907,plain,
% 136.86/87.54 (v84(constB149, bitIndex2)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36906, 5252, 36903])).
% 136.86/87.54 tff(36908,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36909,plain,
% 136.86/87.54 (((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB149, bitIndex2)) | v84(constB148, bitIndex2)) <=> ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36910,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB149, bitIndex2)) | v84(constB148, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2))))),
% 136.86/87.54 inference(monotonicity,[status(thm)],[36909])).
% 136.86/87.54 tff(36911,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB149, bitIndex2)) | v84(constB148, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2)))),
% 136.86/87.54 inference(transitivity,[status(thm)],[36910, 36908])).
% 136.86/87.54 tff(36912,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | (~v84(constB149, bitIndex2)) | v84(constB148, bitIndex2))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36913,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex2)) | v84(constB148, bitIndex2) | (~v84(constB149, bitIndex2))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36912, 36911])).
% 136.86/87.54 tff(36914,plain,
% 136.86/87.54 (v84(constB148, bitIndex2)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36913, 805, 767, 36823, 36835, 36907])).
% 136.86/87.54 tff(36915,plain,
% 136.86/87.54 (((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB149, bitIndex1)) | (~v118(constB149)))) <=> ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB149, bitIndex1)) | (~v118(constB149)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36916,plain,
% 136.86/87.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | ((~v84(constB149, bitIndex1)) | (~v118(constB149)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36917,plain,
% 136.86/87.54 ((~![VarCurr: $i] : ((~v84(VarCurr, bitIndex1)) | (~v118(VarCurr)))) | (~v84(constB149, bitIndex1)) | (~v118(constB149))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36916, 36915])).
% 136.86/87.54 tff(36918,plain,
% 136.86/87.54 (~v84(constB149, bitIndex1)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36917, 2842, 36903])).
% 136.86/87.54 tff(36919,plain,
% 136.86/87.54 (~v84(constB148, bitIndex1)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36843, 36918])).
% 136.86/87.54 tff(36920,plain,
% 136.86/87.54 (v94(constB148)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36814, 36919])).
% 136.86/87.54 tff(36921,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB148)) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB148)) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36922,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex2)) | (~v94(constB148)) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36923,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex2)) | (~v94(constB148)) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2)),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36922, 36921])).
% 136.86/87.54 tff(36924,plain,
% 136.86/87.54 (v123(constB148, bitIndex2)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36923, 1344, 767, 36920, 36914])).
% 136.86/87.54 tff(36925,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB147, constB148)) | (~less_3(bitIndex2)) | (~v123(constB148, bitIndex2)) | v121(constB147, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB147, constB148)) | (~less_3(bitIndex2)) | (~v123(constB148, bitIndex2)) | v121(constB147, bitIndex2))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36926,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB147, constB148)) | (~less_3(bitIndex2)) | (~v123(constB148, bitIndex2)) | v121(constB147, bitIndex2))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36927,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB147, constB148)) | (~less_3(bitIndex2)) | (~v123(constB148, bitIndex2)) | v121(constB147, bitIndex2)),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36926, 36925])).
% 136.86/87.54 tff(36928,plain,
% 136.86/87.54 (v121(constB147, bitIndex2)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36927, 1362, 767, 36639, 36924])).
% 136.86/87.54 tff(36929,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB147) | (~less_3(bitIndex2)) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB147) | (~less_3(bitIndex2)) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36930,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB147) | (~less_3(bitIndex2)) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36931,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB147) | (~less_3(bitIndex2)) | v124(constB147, bitIndex2) | (~v121(constB147, bitIndex2))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36930, 36929])).
% 136.86/87.54 tff(36932,plain,
% 136.86/87.54 (v124(constB147, bitIndex2)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36931, 1380, 767, 36628, 36928])).
% 136.86/87.54 tff(36933,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB147)) | (~v124(constB147, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB147)) | (~v124(constB147, bitIndex2)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36934,plain,
% 136.86/87.54 (((~v115(constB147)) | (~less_3(bitIndex2)) | (~v124(constB147, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB147)) | (~v124(constB147, bitIndex2)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36935,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB147)) | (~less_3(bitIndex2)) | (~v124(constB147, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB147)) | (~v124(constB147, bitIndex2))))),
% 136.86/87.54 inference(monotonicity,[status(thm)],[36934])).
% 136.86/87.54 tff(36936,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB147)) | (~less_3(bitIndex2)) | (~v124(constB147, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB147)) | (~v124(constB147, bitIndex2)))),
% 136.86/87.54 inference(transitivity,[status(thm)],[36935, 36933])).
% 136.86/87.54 tff(36937,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v115(constB147)) | (~less_3(bitIndex2)) | (~v124(constB147, bitIndex2)) | b011(bitIndex2))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36938,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : ((~v115(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v115(constB147)) | (~v124(constB147, bitIndex2))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36937, 36936])).
% 136.86/87.54 tff(36939,plain,
% 136.86/87.54 (~v115(constB147)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36938, 2030, 2257, 767, 36932])).
% 136.86/87.54 tff(36940,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB148)) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB148)) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36941,plain,
% 136.86/87.54 (((~less_3(bitIndex1)) | (~v94(constB148)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1))) <=> ((~v94(constB148)) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36942,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB148)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~v94(constB148)) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1))))),
% 136.86/87.54 inference(monotonicity,[status(thm)],[36941])).
% 136.86/87.54 tff(36943,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB148)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB148)) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)))),
% 136.86/87.54 inference(transitivity,[status(thm)],[36942, 36940])).
% 136.86/87.54 tff(36944,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | ((~less_3(bitIndex1)) | (~v94(constB148)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36945,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | v84(VarNext, B) | (~v123(VarNext, B)))) | (~v94(constB148)) | (~less_3(bitIndex1)) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36944, 36943])).
% 136.86/87.54 tff(36946,plain,
% 136.86/87.54 (~v123(constB148, bitIndex1)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36945, 1674, 823, 36920, 36919])).
% 136.86/87.54 tff(36947,plain,
% 136.86/87.54 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB147, constB148)) | (~less_3(bitIndex1)) | v123(constB148, bitIndex1) | (~v121(constB147, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB147, constB148)) | (~less_3(bitIndex1)) | v123(constB148, bitIndex1) | (~v121(constB147, bitIndex1)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36948,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | ((~nextState(constB147, constB148)) | (~less_3(bitIndex1)) | v123(constB148, bitIndex1) | (~v121(constB147, bitIndex1)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36949,plain,
% 136.86/87.54 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | v123(VarNext, B) | (~v121(VarCurr, B)))) | (~nextState(constB147, constB148)) | (~less_3(bitIndex1)) | v123(constB148, bitIndex1) | (~v121(constB147, bitIndex1))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36948, 36947])).
% 136.86/87.54 tff(36950,plain,
% 136.86/87.54 (~v121(constB147, bitIndex1)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36949, 1708, 823, 36639, 36946])).
% 136.86/87.54 tff(36951,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB147) | (~less_3(bitIndex1)) | v121(constB147, bitIndex1) | (~v124(constB147, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB147) | (~less_3(bitIndex1)) | v121(constB147, bitIndex1) | (~v124(constB147, bitIndex1)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36952,plain,
% 136.86/87.54 ((v26(constB147) | v121(constB147, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB147, bitIndex1))) <=> (v26(constB147) | (~less_3(bitIndex1)) | v121(constB147, bitIndex1) | (~v124(constB147, bitIndex1)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36953,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB147) | v121(constB147, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB147, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB147) | (~less_3(bitIndex1)) | v121(constB147, bitIndex1) | (~v124(constB147, bitIndex1))))),
% 136.86/87.54 inference(monotonicity,[status(thm)],[36952])).
% 136.86/87.54 tff(36954,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB147) | v121(constB147, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB147, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB147) | (~less_3(bitIndex1)) | v121(constB147, bitIndex1) | (~v124(constB147, bitIndex1)))),
% 136.86/87.54 inference(transitivity,[status(thm)],[36953, 36951])).
% 136.86/87.54 tff(36955,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | (v26(constB147) | v121(constB147, bitIndex1) | (~less_3(bitIndex1)) | (~v124(constB147, bitIndex1)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36956,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | v121(VarCurr, B) | (~less_3(B)) | (~v124(VarCurr, B)))) | v26(constB147) | (~less_3(bitIndex1)) | v121(constB147, bitIndex1) | (~v124(constB147, bitIndex1))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36955, 36954])).
% 136.86/87.54 tff(36957,plain,
% 136.86/87.54 (~v124(constB147, bitIndex1)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36956, 1728, 823, 36628, 36950])).
% 136.86/87.54 tff(36958,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB147)) | v124(constB147, bitIndex1))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB147)) | v124(constB147, bitIndex1))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36959,plain,
% 136.86/87.54 (((~v172(constB147)) | (~less_3(bitIndex1)) | v124(constB147, bitIndex1) | (~b110(bitIndex1))) <=> ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB147)) | v124(constB147, bitIndex1))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36960,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB147)) | (~less_3(bitIndex1)) | v124(constB147, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB147)) | v124(constB147, bitIndex1)))),
% 136.86/87.54 inference(monotonicity,[status(thm)],[36959])).
% 136.86/87.54 tff(36961,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB147)) | (~less_3(bitIndex1)) | v124(constB147, bitIndex1) | (~b110(bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB147)) | v124(constB147, bitIndex1))),
% 136.86/87.54 inference(transitivity,[status(thm)],[36960, 36958])).
% 136.86/87.54 tff(36962,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | ((~v172(constB147)) | (~less_3(bitIndex1)) | v124(constB147, bitIndex1) | (~b110(bitIndex1)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36963,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : ((~v172(VarCurr)) | (~less_3(B)) | v124(VarCurr, B) | (~b110(B)))) | (~less_3(bitIndex1)) | (~b110(bitIndex1)) | (~v172(constB147)) | v124(constB147, bitIndex1)),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36962, 36961])).
% 136.86/87.54 tff(36964,plain,
% 136.86/87.54 (~v172(constB147)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36963, 1801, 1798, 823, 36957])).
% 136.86/87.54 tff(36965,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB147)) | (~v124(constB147, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB147)) | (~v124(constB147, bitIndex2)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36966,plain,
% 136.86/87.54 (((~v118(constB147)) | (~less_3(bitIndex2)) | (~v124(constB147, bitIndex2)) | b011(bitIndex2)) <=> (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB147)) | (~v124(constB147, bitIndex2)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36967,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB147)) | (~less_3(bitIndex2)) | (~v124(constB147, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | (b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB147)) | (~v124(constB147, bitIndex2))))),
% 136.86/87.54 inference(monotonicity,[status(thm)],[36966])).
% 136.86/87.54 tff(36968,plain,
% 136.86/87.54 (((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB147)) | (~less_3(bitIndex2)) | (~v124(constB147, bitIndex2)) | b011(bitIndex2))) <=> ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB147)) | (~v124(constB147, bitIndex2)))),
% 136.86/87.54 inference(transitivity,[status(thm)],[36967, 36965])).
% 136.86/87.54 tff(36969,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | ((~v118(constB147)) | (~less_3(bitIndex2)) | (~v124(constB147, bitIndex2)) | b011(bitIndex2))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36970,plain,
% 136.86/87.54 ((~![B: $i, VarCurr: $i] : ((~v118(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b011(B))) | b011(bitIndex2) | (~less_3(bitIndex2)) | (~v118(constB147)) | (~v124(constB147, bitIndex2))),
% 136.86/87.54 inference(modus_ponens,[status(thm)],[36969, 36968])).
% 136.86/87.54 tff(36971,plain,
% 136.86/87.54 (~v118(constB147)),
% 136.86/87.54 inference(unit_resolution,[status(thm)],[36970, 2030, 2027, 767, 36932])).
% 136.86/87.54 tff(36972,plain,
% 136.86/87.54 (((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB149, bitIndex0) | (~v118(constB149)))) <=> ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB149, bitIndex0) | (~v118(constB149)))),
% 136.86/87.54 inference(rewrite,[status(thm)],[])).
% 136.86/87.54 tff(36973,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | (v84(constB149, bitIndex0) | (~v118(constB149)))),
% 136.86/87.54 inference(quant_inst,[status(thm)],[])).
% 136.86/87.54 tff(36974,plain,
% 136.86/87.54 ((~![VarCurr: $i] : (v84(VarCurr, bitIndex0) | (~v118(VarCurr)))) | v84(constB149, bitIndex0) | (~v118(constB149))),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[36973, 36972])).
% 136.86/87.55 tff(36975,plain,
% 136.86/87.55 (v84(constB149, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36974, 2642, 36903])).
% 136.86/87.55 tff(36976,plain,
% 136.86/87.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(36977,plain,
% 136.86/87.55 (((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | (~v84(constB149, bitIndex0)) | v84(constB148, bitIndex0)) <=> ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(36978,plain,
% 136.86/87.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | (~v84(constB149, bitIndex0)) | v84(constB148, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0))))),
% 136.86/87.55 inference(monotonicity,[status(thm)],[36977])).
% 136.86/87.55 tff(36979,plain,
% 136.86/87.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | (~v84(constB149, bitIndex0)) | v84(constB148, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0)))),
% 136.86/87.55 inference(transitivity,[status(thm)],[36978, 36976])).
% 136.86/87.55 tff(36980,plain,
% 136.86/87.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | ((~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | (~v84(constB149, bitIndex0)) | v84(constB148, bitIndex0))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(36981,plain,
% 136.86/87.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v94(VarNext) | (~less_3(B)) | (~v84(VarNext, B)) | v84(VarCurr, B))) | (~nextState(constB148, constB149)) | v94(constB149) | (~less_3(bitIndex0)) | v84(constB148, bitIndex0) | (~v84(constB149, bitIndex0))),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[36980, 36979])).
% 136.86/87.55 tff(36982,plain,
% 136.86/87.55 (v84(constB148, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36981, 805, 795, 36823, 36835, 36975])).
% 136.86/87.55 tff(36983,plain,
% 136.86/87.55 (((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB148)) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB148)) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(36984,plain,
% 136.86/87.55 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | ((~less_3(bitIndex0)) | (~v94(constB148)) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(36985,plain,
% 136.86/87.55 ((~![B: $i, VarNext: $i] : ((~less_3(B)) | (~v94(VarNext)) | (~v84(VarNext, B)) | v123(VarNext, B))) | (~less_3(bitIndex0)) | (~v94(constB148)) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0)),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[36984, 36983])).
% 136.86/87.55 tff(36986,plain,
% 136.86/87.55 (v123(constB148, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36985, 1344, 795, 36920, 36982])).
% 136.86/87.55 tff(36987,plain,
% 136.86/87.55 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB147, constB148)) | (~less_3(bitIndex0)) | (~v123(constB148, bitIndex0)) | v121(constB147, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB147, constB148)) | (~less_3(bitIndex0)) | (~v123(constB148, bitIndex0)) | v121(constB147, bitIndex0))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(36988,plain,
% 136.86/87.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | ((~nextState(constB147, constB148)) | (~less_3(bitIndex0)) | (~v123(constB148, bitIndex0)) | v121(constB147, bitIndex0))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(36989,plain,
% 136.86/87.55 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~less_3(B)) | (~v123(VarNext, B)) | v121(VarCurr, B))) | (~nextState(constB147, constB148)) | (~less_3(bitIndex0)) | (~v123(constB148, bitIndex0)) | v121(constB147, bitIndex0)),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[36988, 36987])).
% 136.86/87.55 tff(36990,plain,
% 136.86/87.55 (v121(constB147, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36989, 1362, 795, 36639, 36986])).
% 136.86/87.55 tff(36991,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB147) | (~less_3(bitIndex0)) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB147) | (~less_3(bitIndex0)) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(36992,plain,
% 136.86/87.55 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | (v26(constB147) | (~less_3(bitIndex0)) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0)))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(36993,plain,
% 136.86/87.55 ((~![B: $i, VarCurr: $i] : (v26(VarCurr) | (~less_3(B)) | v124(VarCurr, B) | (~v121(VarCurr, B)))) | v26(constB147) | (~less_3(bitIndex0)) | v124(constB147, bitIndex0) | (~v121(constB147, bitIndex0))),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[36992, 36991])).
% 136.86/87.55 tff(36994,plain,
% 136.86/87.55 (v124(constB147, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36993, 1380, 795, 36628, 36990])).
% 136.86/87.55 tff(36995,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB147)) | (~v124(constB147, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB147)) | (~v124(constB147, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(36996,plain,
% 136.86/87.55 (((~v116(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB147)) | (~v124(constB147, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(36997,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB147)) | (~v124(constB147, bitIndex0))))),
% 136.86/87.55 inference(monotonicity,[status(thm)],[36996])).
% 136.86/87.55 tff(36998,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB147)) | (~v124(constB147, bitIndex0)))),
% 136.86/87.55 inference(transitivity,[status(thm)],[36997, 36995])).
% 136.86/87.55 tff(36999,plain,
% 136.86/87.55 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v116(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b100(bitIndex0))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(37000,plain,
% 136.86/87.55 ((~![B: $i, VarCurr: $i] : ((~v116(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v116(constB147)) | (~v124(constB147, bitIndex0))),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[36999, 36998])).
% 136.86/87.55 tff(37001,plain,
% 136.86/87.55 (~v116(constB147)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[37000, 2386, 2164, 795, 36994])).
% 136.86/87.55 tff(37002,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB147)) | (~v124(constB147, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB147)) | (~v124(constB147, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(37003,plain,
% 136.86/87.55 (((~v113(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b100(bitIndex0)) <=> (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB147)) | (~v124(constB147, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(37004,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | (b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB147)) | (~v124(constB147, bitIndex0))))),
% 136.86/87.55 inference(monotonicity,[status(thm)],[37003])).
% 136.86/87.55 tff(37005,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b100(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB147)) | (~v124(constB147, bitIndex0)))),
% 136.86/87.55 inference(transitivity,[status(thm)],[37004, 37002])).
% 136.86/87.55 tff(37006,plain,
% 136.86/87.55 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | ((~v113(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b100(bitIndex0))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(37007,plain,
% 136.86/87.55 ((~![B: $i, VarCurr: $i] : ((~v113(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b100(B))) | b100(bitIndex0) | (~less_3(bitIndex0)) | (~v113(constB147)) | (~v124(constB147, bitIndex0))),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[37006, 37005])).
% 136.86/87.55 tff(37008,plain,
% 136.86/87.55 (~v113(constB147)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[37007, 2386, 2186, 795, 36994])).
% 136.86/87.55 tff(37009,assumption,(v142(constB147)), introduced(assumption)).
% 136.86/87.55 tff(37010,plain,
% 136.86/87.55 (((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB147) | (~v142(constB147)))) <=> ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB147) | (~v142(constB147)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(37011,plain,
% 136.86/87.55 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | (v144(constB147) | (~v142(constB147)))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(37012,plain,
% 136.86/87.55 ((~![VarCurr: $i] : (v144(VarCurr) | (~v142(VarCurr)))) | v144(constB147) | (~v142(constB147))),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[37011, 37010])).
% 136.86/87.55 tff(37013,plain,
% 136.86/87.55 (v144(constB147)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[37012, 418, 37009])).
% 136.86/87.55 tff(37014,plain,
% 136.86/87.55 (((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB147) | (~v144(constB147)))) <=> ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB147) | (~v144(constB147)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(37015,plain,
% 136.86/87.55 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | (v145(constB147) | (~v144(constB147)))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(37016,plain,
% 136.86/87.55 ((~![VarCurr: $i] : (v145(VarCurr) | (~v144(VarCurr)))) | v145(constB147) | (~v144(constB147))),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[37015, 37014])).
% 136.86/87.55 tff(37017,plain,
% 136.86/87.55 (v145(constB147)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[37016, 520, 37013])).
% 136.86/87.55 tff(37018,plain,
% 136.86/87.55 (~v84(constB147, bitIndex2)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36076, 725, 37017])).
% 136.86/87.55 tff(37019,plain,
% 136.86/87.55 (v94(constB148) | v84(constB147, bitIndex2)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36766, 805, 767, 36639, 36863])).
% 136.86/87.55 tff(37020,plain,
% 136.86/87.55 (v94(constB148)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[37019, 37018])).
% 136.86/87.55 tff(37021,assumption,(v84(constB148, bitIndex0)), introduced(assumption)).
% 136.86/87.55 tff(37022,plain,
% 136.86/87.55 ((~v94(constB148)) | v123(constB148, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36985, 1344, 795, 37021])).
% 136.86/87.55 tff(37023,plain,
% 136.86/87.55 (v123(constB148, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[37022, 37020])).
% 136.86/87.55 tff(37024,plain,
% 136.86/87.55 (v121(constB147, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36989, 1362, 795, 36639, 37023])).
% 136.86/87.55 tff(37025,plain,
% 136.86/87.55 (((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))) | ((~v26(constB147)) | (~v142(constB147)))) <=> ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))) | (~v26(constB147)) | (~v142(constB147)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(37026,plain,
% 136.86/87.55 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))) | ((~v26(constB147)) | (~v142(constB147)))),
% 136.86/87.55 inference(quant_inst,[status(thm)],[])).
% 136.86/87.55 tff(37027,plain,
% 136.86/87.55 ((~![VarCurr: $i] : ((~v26(VarCurr)) | (~v142(VarCurr)))) | (~v26(constB147)) | (~v142(constB147))),
% 136.86/87.55 inference(modus_ponens,[status(thm)],[37026, 37025])).
% 136.86/87.55 tff(37028,plain,
% 136.86/87.55 (~v26(constB147)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[37027, 30301, 37009])).
% 136.86/87.55 tff(37029,plain,
% 136.86/87.55 (v124(constB147, bitIndex0)),
% 136.86/87.55 inference(unit_resolution,[status(thm)],[36993, 1380, 795, 37028, 37024])).
% 136.86/87.55 tff(37030,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB147)) | (~v124(constB147, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(37031,plain,
% 136.86/87.55 (((~v145(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b010(bitIndex0)) <=> (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB147)) | (~v124(constB147, bitIndex0)))),
% 136.86/87.55 inference(rewrite,[status(thm)],[])).
% 136.86/87.55 tff(37032,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b010(bitIndex0))) <=> ((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | (b010(bitIndex0) | (~less_3(bitIndex0)) | (~v145(constB147)) | (~v124(constB147, bitIndex0))))),
% 136.86/87.55 inference(monotonicity,[status(thm)],[37031])).
% 136.86/87.55 tff(37033,plain,
% 136.86/87.55 (((~![B: $i, VarCurr: $i] : ((~v145(VarCurr)) | (~less_3(B)) | (~v124(VarCurr, B)) | b010(B))) | ((~v145(constB147)) | (~less_3(bitIndex0)) | (~v124(constB147, bitIndex0)) | b010(bitIndex0))) <